From f0a66a546847abe1c7bcc8e28d2c93e9819bb12e Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Wed, 7 May 2025 11:03:52 +0000 Subject: [PATCH 01/11] chore: temp downgrade bignum until bigcurve works on 0.7+ --- .../crates/blob/Nargo.toml | 2 +- .../crates/blob/src/blob.nr | 45 +- .../crates/blob/src/blob_public_inputs.nr | 12 +- .../crates/blob/src/config.nr | 24585 ++++++++-------- .../crates/blob/src/unconstrained_config.nr | 25 +- 5 files changed, 12331 insertions(+), 12338 deletions(-) diff --git a/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml b/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml index 75d5c8fd7130..604c2a962de6 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml +++ b/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml @@ -5,6 +5,6 @@ authors = [""] compiler_version = ">=0.30.0" [dependencies] -bigint = { tag = "v0.7.1", git = "https://github.com/noir-lang/noir-bignum" } +bigint = { tag = "v0.6.1", git = "https://github.com/noir-lang/noir-bignum" } types = { path = "../types" } poseidon = { tag = "v0.1.0", git = "https://github.com/noir-lang/poseidon" } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr index 42879efe2a52..16f931366b66 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr @@ -3,7 +3,7 @@ use crate::{ config::{D_INV, LOG_FIELDS_PER_BLOB, ROOTS}, }; -use bigint::{BigNum, BLS12_381_Fr as F}; +use bigint::{BigNumTrait, BLS12_381_Fr as F}; use std::ops::{Mul, Neg}; use types::{ abis::sponge_blob::SpongeBlob, @@ -166,7 +166,7 @@ fn barycentric_evaluate_blob_at_z(z: F, ys: [F; FIELDS_PER_BLOB]) -> F { [fracs[0]], [fracs[1]], [fracs[2]], [fracs[3]], [fracs[4]], [fracs[5]], [fracs[6]], [fracs[7]], ]; - bigint::bignum::evaluate_quadratic_expression( + F::evaluate_quadratic_expression( lhs, [[false], [false], [false], [false], [false], [false], [false], [false]], rhs, @@ -199,7 +199,7 @@ fn barycentric_evaluate_blob_at_z(z: F, ys: [F; FIELDS_PER_BLOB]) -> F { // => (lhs[8*i] * rhs[8*i] + ... + lhs[8*i + 7] * rhs[8*i + 7]) + partial_sums[i-1] - partial_sums[i] == 0 let linear_terms = [partial_sums[i - 1], partial_sums[i]]; - bigint::bignum::evaluate_quadratic_expression( + F::evaluate_quadratic_expression( /* lhs */ [ [ROOTS[i * 8 + 0]], [ROOTS[i * 8 + 1]], @@ -266,7 +266,7 @@ fn compute_factor(z: F) -> F { // (z_pow_d - one) * (D_INV) - factor = 0 // z_pow_d * D_INV - D_INV - factor = 0 if !std::runtime::is_unconstrained() { - bigint::bignum::evaluate_quadratic_expression( + F::evaluate_quadratic_expression( [[z_pow_d]], [[false]], [[D_INV]], @@ -294,7 +294,7 @@ unconstrained fn __compute_fracs(z: F, ys: [F; FIELDS_PER_BLOB]) -> [F; FIELDS_P for i in 0..FIELDS_PER_BLOB { denoms[i] = z.__sub(ROOTS[i]); // (z - omega^i) } - let inv_denoms: [F; FIELDS_PER_BLOB] = bigint::bignum::batch_invert(denoms); // 1 / (z - omega^i), for all i + let inv_denoms: [F; FIELDS_PER_BLOB] = F::__batch_invert(denoms); // 1 / (z - omega^i), for all i // We're now done with `denoms` so we can reuse the allocated array to build `fracs`. let mut fracs: [F; FIELDS_PER_BLOB] = denoms; // y_i / (z - omega^i), for all i for i in 0..FIELDS_PER_BLOB { @@ -315,7 +315,7 @@ fn compute_fracs(z: F, ys: [F; FIELDS_PER_BLOB]) -> [F; FIELDS_PER_BLOB] { for i in 0..FIELDS_PER_BLOB { // frac <-- ys[i] / (z + neg_roots[i]) // frac * (z + neg_roots[i]) - ys[i] = 0 - bigint::bignum::evaluate_quadratic_expression( + F::evaluate_quadratic_expression( [[fracs[i]]], [[false]], [[z, ROOTS[i].neg()]], @@ -402,7 +402,10 @@ mod tests { config::{D, D_INV}, }; use super::{__compute_partial_sums, __compute_sum}; - use bigint::{BigNum, BLS12_381_Fr as F}; + use bigint::{ + BigNumTrait, BLS12_381_Fr as F, fields::bls12_381Fr::BLS12_381_Fr_Params, + params::BigNumParamsGetter, + }; use types::{ abis::sponge_blob::SpongeBlob, constants::{BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, @@ -500,11 +503,9 @@ mod tests { let output = evaluate_blob(blob, kzg_commitment_in, hashed_blob); // y is a BLS field with value 0x212c4f0c0ee5e7dd037110686a4639d191dde7b57ab99b51e4b06e7d827b6c4c - let expected_y: F = F::from_limbs([ - 0xdde7b57ab99b51e4b06e7d827b6c4c, - 0x4f0c0ee5e7dd037110686a4639d191, - 0x212c, - ]); + let expected_y: F = F { + limbs: [0xdde7b57ab99b51e4b06e7d827b6c4c, 0x4f0c0ee5e7dd037110686a4639d191, 0x212c], + }; assert(expected_y == output.y); } @@ -532,11 +533,9 @@ mod tests { let output = evaluate_blobs(blob, [kzg_commitment_in; BLOBS_PER_BLOCK], sponge_blob); // y is a BLS field with value 0x52fd4e272015a79f3889cc9ab1d84bee4326de7d8ced52612ecc9ec137bd38ee - let expected_y: F = F::from_limbs([ - 0x26de7d8ced52612ecc9ec137bd38ee, - 0x4e272015a79f3889cc9ab1d84bee43, - 0x52fd, - ]); + let expected_y: F = F { + limbs: [0x26de7d8ced52612ecc9ec137bd38ee, 0x4e272015a79f3889cc9ab1d84bee43, 0x52fd], + }; for j in 0..BLOBS_PER_BLOCK { assert(expected_y == output.inner[j].y); } @@ -585,14 +584,14 @@ mod tests { #[test] unconstrained fn test_barycentric() { - let z: F = F::from_limbs([2, 0, 0]); + let z: F = F { limbs: [2, 0, 0] }; // many y's form a blob: let mut ys: [F; FIELDS_PER_BLOB] = [F::zero(); FIELDS_PER_BLOB]; - ys[0] = F::from_limbs([0x1234, 0, 0]); - ys[1] = F::from_limbs([0xabcd, 0, 0]); - ys[2] = F::from_limbs([0x69, 0, 0]); + ys[0] = F { limbs: [0x1234, 0, 0] }; + ys[1] = F { limbs: [0xabcd, 0, 0] }; + ys[2] = F { limbs: [0x69, 0, 0] }; // evaluate the blob at z = 2 to yield y: let y = barycentric_evaluate_blob_at_z(z, ys); @@ -610,7 +609,7 @@ mod tests { expected_y = [0xb04cdea4304000053abffffffb203a, 0x0000000002e30785c8afa4496f8e38, 0x000000]; } - assert(y.get_limbs() == expected_y); + assert(y.limbs == expected_y); } // Helper function used to populate the hard-coded double_modulus value in the bls12381Fr.nr file in the bignum library. @@ -630,7 +629,7 @@ mod tests { #[test] unconstrained fn test_compute_double_modulus() { - let double_modulus = F::params().double_modulus; + let double_modulus = BLS12_381_Fr_Params::get_params().double_modulus; assert_eq(double_modulus, compute_double_modulus()); } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr index 1222d8c19bab..8fc6a8db524e 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr @@ -1,4 +1,4 @@ -use bigint::{BigNum, BLS12_381_Fr as F}; +use bigint::{BigNum, bignum::BigNumTrait, BLS12_381_Fr as F}; use std::ops::Add; use types::{ constants::{BLOB_PUBLIC_INPUTS, BLOBS_PER_BLOCK}, @@ -43,7 +43,7 @@ impl BlobPublicInputs { // This is not equivalent to being empty, since the challenge point z is a hash and won't have 0 value. pub fn is_zero(self) -> bool { // Note: there is no constrained is_zero in bignum - (self.y == F::zero()) & (self.kzg_commitment.inner == [0, 0]) + (self.y == BigNum { limbs: [0, 0, 0] }) & (self.kzg_commitment.inner == [0, 0]) } } @@ -57,9 +57,9 @@ impl Serialize for BlobPublicInputs { fn serialize(self) -> [Field; BLOB_PUBLIC_INPUTS] { [ self.z, - self.y.get_limb(0) as Field, - self.y.get_limb(1) as Field, - self.y.get_limb(2) as Field, + self.y.limbs[0] as Field, + self.y.limbs[1] as Field, + self.y.limbs[2] as Field, self.kzg_commitment.inner[0], self.kzg_commitment.inner[1], ] @@ -70,7 +70,7 @@ impl Deserialize for BlobPublicInputs { fn deserialize(fields: [Field; BLOB_PUBLIC_INPUTS]) -> Self { Self { z: fields[0], - y: F::from_limbs([fields[1] as u128, fields[2] as u128, fields[3] as u128]), + y: BigNum { limbs: [fields[1] as u128, fields[2] as u128, fields[3] as u128] }, kzg_commitment: BlobCommitment { inner: [fields[4], fields[5]] }, } } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr index 92a55922401b..e13c76cc95ef 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr @@ -7,12300 +7,12297 @@ pub global LOG_FIELDS_PER_BLOB: u32 = 12; pub global EXTRA_FIELDS_PER_BLOB: u32 = 16; // 16 = floor(4096 FIELDS_PER_BLOB / 254 noir_field_bits), wasting only 32 bits. // pub global NOIR_FIELDS_PER_BLOB: u32 = FIELDS_PER_BLOB + EXTRA_FIELDS_PER_BLOB; // pub global FIELDS_CARRYING_AN_EXTRA_BIT_PER_BLOB: u32 = EXTRA_FIELDS_PER_BLOB * 254; // EXTRA_FIELDS_PER_BLOB * 254 = 4064. So the first 4064 bls Fr fields in the blob will carry an extra bit in their 255th bit position, that will be used to reconstitute 16 extra fields. -pub global D: F = F::from_limbs([4096, 0, 0]); -pub global D_INV: F = F::from_limbs([ - 0x686828bfce5c19400fffff00100001, - 0x6878b46ae3705eb6a46a89213de7d3, - 0x73e6, -]); +pub global D: F = BigNum { limbs: [4096, 0, 0] }; +pub global D_INV: F = + BigNum { limbs: [0x686828bfce5c19400fffff00100001, 0x6878b46ae3705eb6a46a89213de7d3, 0x73e6] }; pub global ROOTS: [F; FIELDS_PER_BLOB] = [ - F::from_limbs( - [0x000000000000000000000000000001, 0x000000000000000000000000000000, 0x000000], - ), - F::from_limbs( - [0xbda402fffe5bfeffffffff00000000, 0xa753299d7d483339d80809a1d80553, 0x0073ed], - ), - F::from_limbs( - [0x030002760300000001000000000000, 0x0000000000008d51ccce760304d0ec, 0x000000], - ), - F::from_limbs( - [0xbaa40089fb5bfefffeffff00000001, 0xa753299d7d47a5e80b39939ed33467, 0x0073ed], - ), - F::from_limbs( - [0x8b21c28713b7007228fd3397743f7a, 0x66f603fa66e78c0625cd70d77ce2b3, 0x003457], - ), - F::from_limbs( - [0x32824078eaa4fe8dd702cb688bc087, 0x405d25a31660a733b23a98ca5b22a0, 0x003f96], - ), - F::from_limbs( - [0x74903694b04fd86037fe81ae99502e, 0xb22e5ce11044babc5affca86bf658e, 0x001333], - ), - F::from_limbs( - [0x4913cc6b4e0c269fc8017d5166afd3, 0xf524ccbc6d03787d7d083f1b189fc5, 0x0060b9], - ), - F::from_limbs( - [0xbeb312f20b6f7653ea61d87742bcce, 0xce9140267af9dd1c0af834cec32c17, 0x0020b1], - ), - F::from_limbs( - [0xfef0f00df2ec88ac159e2688bd4333, 0xd8c1e977024e561dcd0fd4d314d93b, 0x00533b], - ), - F::from_limbs( - [0xf4e672ebc1e1bb95df4b360411fe73, 0x596e753e4fcc6e92a9c460afca4a1e, 0x004f2c], - ), - F::from_limbs( - [0xc8bd90143c7a436a20b4c8fbee018e, 0x4de4b45f2d7bc4a72e43a8f20dbb34, 0x0024c1], - ), - F::from_limbs( - [0x7a6b6cfb0faca4807b811a823f728d, 0x919ec91f38ac5ccd4631f16edba496, 0x001edc], - ), - F::from_limbs( - [0x43389604eeaf5a7f847ee47dc08d74, 0x15b4607e449bd66c91d61832fc60bd, 0x005511], - ), - F::from_limbs( - [0xbc96af334c36bca1abb31fb37786b9, 0xf2dd7e0c63fccabf643eda8951f257, 0x0038c7], - ), - F::from_limbs( - [0x010d53ccb225425e544cdf4c887948, 0xb475ab91194b687a73c92f188612fc, 0x003b25], - ), - F::from_limbs( - [0x6e88fb4c38fb8a360c60997369df4e, 0x903a157988bab4bcd40e22f55448bf, 0x0050e0], - ), - F::from_limbs( - [0x4f1b07b3c56074c9f39f658c9620b3, 0x17191423f48d7e7d03f9e6ac83bc94, 0x00230d], - ), - F::from_limbs( - [0xbc7f62d13a6e1c3ec50c9031a36ca3, 0xc5837cb5fca206050b5832d1099726, 0x0065f6], - ), - F::from_limbs( - [0x0124a02ec3ede2c13af36ece5c935e, 0xe1cface780a62d34ccafd6d0ce6e2d, 0x000df6], - ), - F::from_limbs( - [0x3dc46688b5e11768cc0c58459f155b, 0x0457c83a7d9c5aea51f540eb0c0496, 0x002c7e], - ), - F::from_limbs( - [0x7fdf9c77487ae79733f3a6ba60eaa6, 0xa2fb6162ffabd84f8612c8b6cc00bd, 0x00476f], - ), - F::from_limbs( - [0xe943612401899720d4ed194fccfeb9, 0xda18a9d30564a8f0cfd2438f018c01, 0x005303], - ), - F::from_limbs( - [0xd460a1dbfcd267df2b12e5b0330148, 0xcd3a7fca77e38a490835c612d67951, 0x0020e9], - ), - F::from_limbs( - [0x317ae6451bb89de69679532ae1234c, 0x237e58fcced486fa69d8e4e48506e3, 0x000461], - ), - F::from_limbs( - [0x8c291cbae2a361196986abd51edcb5, 0x83d4d0a0ae73ac3f6e2f24bd52fe70, 0x006f8c], - ), - F::from_limbs( - [0x593d6ff6dab086ee5bcecc4e7773cb, 0xb16caf96816fa3a95d2d4016e2bd45, 0x00047c], - ), - F::from_limbs( - [0x6466930923ab7811a43132b1888c36, 0xf5e67a06fbd88f907adac98af5480e, 0x006f70], - ), - F::from_limbs( - [0xa6d195014b641082e68bc0bc50a88f, 0x5bb8ed54ae00468b04010fa5c79f62, 0x0056f3], - ), - F::from_limbs( - [0x16d26dfeb2f7ee7d19743e43af5772, 0x4b9a3c48cf47ecaed406f9fc1065f1, 0x001cfa], - ), - F::from_limbs( - [0x452d43f6d5756f51cb57e0e3035d15, 0xb9c6e6797777851425ea12dcacdae7, 0x001579], - ), - F::from_limbs( - [0x7876bf0928e68fae34a81e1cfca2ec, 0xed8c432405d0ae25b21df6c52b2a6c, 0x005e73], - ), - F::from_limbs( - [0x967f4be2f951558140d032f0a9ee53, 0x6345ec055e4d14a1e27164d8fdbd2d, 0x0045af], - ), - F::from_limbs( - [0x2724b71d050aa97ebf2fcc0f5611ae, 0x440d3d981efb1e97f596a4c8da4826, 0x002e3e], - ), - F::from_limbs( - [0xf20a6f5e1709899ddf46bac40ac8e4, 0x300e9079af0b916f129332ba2dfc0b, 0x0028eb], - ), - F::from_limbs( - [0xcb9993a1e752756220b9443bf5371d, 0x77449923ce3ca1cac574d6e7aa0947, 0x004b02], - ), - F::from_limbs( - [0xdc0ae311f00af48469ef4d246b6883, 0xad6a79b61c1a71d544f7800a7e4ae4, 0x005391], - ), - F::from_limbs( - [0xe1991fee0e510a7b9610b1db94977e, 0xf9e8afe7612dc1649310899759ba6e, 0x00205b], - ), - F::from_limbs( - [0x2e4312e6011bf5d941e9338fb466f7, 0x0520cdfb5d9d6c54cb86cdf73e9123, 0x0044ed], - ), - F::from_limbs( - [0x8f60f019fd400926be16cb704b990a, 0xa2325ba21faac6e50c813baa997430, 0x002f00], - ), - F::from_limbs( - [0x12abf7f3a89e7acf065a270f3c324f, 0x64fb4536c4fcf6ad66524f0376d9e4, 0x0054fa], - ), - F::from_limbs( - [0xaaf80b0c55bd8430f9a5d7f0c3cdb2, 0x4257e466b84b3c8c71b5ba9e612b6f, 0x001ef3], - ), - F::from_limbs( - [0x2a70a615d0b8e4d2fc5e69ac5db47f, 0x40ac57f86f5e293b1d67bc8de5d9a1, 0x000e48], - ), - F::from_limbs( - [0x93335cea2da31a2d03a19553a24b82, 0x66a6d1a50dea09febaa04d13f22bb2, 0x0065a5], - ), - F::from_limbs( - [0x1f590ef73ba2bdc0f1357a508e5e7b, 0x00aba73798bfaf59d0fc7261da7291, 0x0058c4], - ), - F::from_limbs( - [0x9e4af408c2b9413f0eca84af71a186, 0xa6a78265e48883e0070b973ffd92c2, 0x001b29], - ), - F::from_limbs( - [0x02e4e461e72e18ddc3b03ea91bc267, 0x785206b5761a878d670fcb570ab3b8, 0x006358], - ), - F::from_limbs( - [0xbabf1e9e172de6223c4fc056e43d9a, 0x2f0122e8072dabac70f83e4acd519b, 0x001095], - ), - F::from_limbs( - [0xc3ebf43c92a949a4593e1acca2cb6c, 0x8adc7bff16bae3ee1645113940cf46, 0x0053c7], - ), - F::from_limbs( - [0xf9b80ec36bb2b55ba6c1e4335d3495, 0x1c76ad9e668d4f4bc1c2f86897360c, 0x002026], - ), - F::from_limbs( - [0xe74ba2b75ca477f44e14739932aa33, 0x508a14adf95959d7d47f20aa9f0259, 0x0037d3], - ), - F::from_limbs( - [0xd6586048a1b7870bb1eb8b66cd55ce, 0x56c914ef83eed9620388e8f73902f9, 0x003c1a], - ), - F::from_limbs( - [0x9f1f01e2bbf0ac476e05bf67d4973c, 0xcc64ae610371dcd9ce528178852eaf, 0x005a50], - ), - F::from_limbs( - [0x1e85011d426b52b891fa3f982b68c5, 0xdaee7b3c79d6566009b5882952d6a4, 0x00199c], - ), - F::from_limbs( - [0x1ae51df978cc3878f4ee1de45ab2f2, 0x03824bef73c976407b9926e20836d2, 0x006e57], - ), - F::from_limbs( - [0xa2bee506858fc6870b11e11ba54d0f, 0xa3d0ddae097ebcf95c6ee2bfcfce81, 0x000596], - ), - F::from_limbs( - [0x7493f160ce4cb729b4cb21179cfb0e, 0x79931cfdd8947f799cf20f675fde6a, 0x00036b], - ), - F::from_limbs( - [0x4910119f300f47d64b34dde86304f3, 0x2dc00c9fa4b3b3c03b15fa3a7826e9, 0x007082], - ), - F::from_limbs( - [0x0664a566a603f98c15c05b1901cef2, 0xed2ec80a4115f20c57f6d7dc953305, 0x000afc], - ), - F::from_limbs( - [0xb73f5d9958580573ea3fa3e6fe310f, 0xba2461933c32412d801131c542d24e, 0x0068f0], - ), - F::from_limbs( - [0xe20d3cfc83311c0727b36db1974ef4, 0xd5fd4e2f04c5e7caaba64af676214e, 0x0028c6], - ), - F::from_limbs( - [0xdb96c6037b2ae2f8d84c914e68b10d, 0xd155db6e78824b6f2c61beab61e404, 0x004b26], - ), - F::from_limbs( - [0x36750f231bcd8672d73ebbe97445d5, 0x9ddec7fa8e98e4b5243a8bda7ca378, 0x000fe0], - ), - F::from_limbs( - [0x872ef3dce28e788d28c143168bba2c, 0x097461a2eeaf4e84b3cd7dc75b61db, 0x00640d], - ), - F::from_limbs( - [0xd0caac87f5713c5130c2c1660125be, 0x111413588742b7c68b4d7fdd60d098, 0x006898], - ), - F::from_limbs( - [0xecd9567808eac2aecf3d3d99feda43, 0x963f1644f6057b734cba89c47734ba, 0x000b55], - ), - F::from_limbs( - [0x30a34e5e4c7a31a0927a327c751043, 0x983de0110e23413ff88848100458b8, 0x0030d2], - ), - F::from_limbs( - [0x8d00b4a1b1e1cd5f6d85cc838aefbe, 0x0f15498c6f24f1f9df7fc191d3ac9b, 0x00431b], - ), - F::from_limbs( - [0x1e0777f7ef73e32ef7664cb2440ed4, 0xf5b7cb3dee5f01fe51c5b744878f5d, 0x00510d], - ), - F::from_limbs( - [0x9f9c8b080ee81bd10899b24dbbf12d, 0xb19b5e5f8ee9313b8642525d5075f6, 0x0022df], - ), - F::from_limbs( - [0x608393655b6d323eae9752b92f9726, 0x1a173d90ba01c42ee040e5579a63af, 0x0015ae], - ), - F::from_limbs( - [0x5d206f9aa2eeccc15168ac46d068db, 0x8d3bec0cc3466f0af7c7244a3da1a4, 0x005e3f], - ), - F::from_limbs( - [0x136819ab9c98a27528d588439e5b12, 0x3ae1cc22ee66ae3320a20450eb9bbf, 0x001a8f], - ), - F::from_limbs( - [0xaa3be95461c35c8ad72a76bc61a4ef, 0x6c715d7a8ee18506b7660550ec6994, 0x00595e], - ), - F::from_limbs( - [0xb0deac619bda2d4000b0b3767c9928, 0x0b00588ed2cf8b98c6ffcd682aa219, 0x0035c6], - ), - F::from_limbs( - [0x0cc5569e6281d1bfff4f4b898366d9, 0x9c52d10eaa78a7a111083c39ad633a, 0x003e27], - ), - F::from_limbs( - [0x95392351a789a318d303a266992f63, 0x6bb22f520df225302664820cb7fbf4, 0x00058e], - ), - F::from_limbs( - [0x286adfae56d25be72cfc5c9966d09e, 0x3ba0fa4b6f560e09b1a3879520095f, 0x006e5f], - ), - F::from_limbs( - [0x47df05ce549e034eb4bb5cc301906f, 0xace8a4aeb40b597e225a1da4156c04, 0x007144], - ), - F::from_limbs( - [0x75c4fd31a9bdfbb14b44a23cfe6f92, 0xfa6a84eec93cd9bbb5adebfdc2994f, 0x0002a8], - ), - F::from_limbs( - [0x7d9fd5726f6b40ed9fa5c032ec0a23, 0xa72e47136966a4512dec6b0a03377e, 0x005f2f], - ), - F::from_limbs( - [0x40042d8d8ef0be12605a3ecd13f5de, 0x0024e28a13e18ee8aa1b9e97d4cdd5, 0x0014be], - ), - F::from_limbs( - [0x3accee4e32febaa4f1f87d90884c5a, 0x5f6ba59c3994a84b028e307c93637f, 0x002254], - ), - F::from_limbs( - [0x82d714b1cb5d445b0e07816f77b3a7, 0x47e7840143b38aeed579d92544a1d4, 0x005199], - ), - F::from_limbs( - [0x9fa49ec41505c948af25b254d71df9, 0xdf508052e8d9a67bb3d018ed258f03, 0x006c1c], - ), - F::from_limbs( - [0x1dff643be95635b750da4cab28e208, 0xc802a94a946e8cbe2437f0b4b27650, 0x0007d0], - ), - F::from_limbs( - [0x0af27f081250e5bddd6dacba0b1d06, 0x9b0b4fa4971529805a2b04c50efc33, 0x005b75], - ), - F::from_limbs( - [0xb2b183f7ec0b194222925245f4e2fb, 0x0c47d9f8e63309b97ddd04dcc90920, 0x001878], - ), - F::from_limbs( - [0xffeee172f8ac74095e328eda2f8e5c, 0x8571ac60a4ce0468b4bb2b446edda9, 0x002904], - ), - F::from_limbs( - [0xbdb5218d05af8af6a1cd7025d071a5, 0x21e17d3cd87a2ed1234cde5d6927a9, 0x004ae9], - ), - F::from_limbs( - [0xfd4ee83f1b2499dbe21753938adf74, 0x09b8f9797bc1d44db4c7e28c3f15cb, 0x001aa9], - ), - F::from_limbs( - [0xc0551ac0e33765241de8ab6c75208d, 0x9d9a302401865eec2340271598ef87, 0x005944], - ), - F::from_limbs( - [0xfb82877b46d20d3f0ffba2ea149337, 0x83626bca158c398677e14a8cb7e715, 0x005815], - ), - F::from_limbs( - [0xc2217b84b789f1c0f0045c15eb6cca, 0x23f0bdd367bbf9b36026bf15201e3d, 0x001bd8], - ), - F::from_limbs( - [0xf0a42ec0e52a48c009cf2b0763b3d5, 0x72b23615cf703897e487b9c664354a, 0x0054b5], - ), - F::from_limbs( - [0xccffd43f1931b63ff630d3f89c4c2c, 0x34a0f387add7faa1f3804fdb73d008, 0x001f38], - ), - F::from_limbs( - [0xbdbdcad82928c864e8c456229dfdef, 0xd2940967b1a207e780cc7312dd5371, 0x0067ad], - ), - F::from_limbs( - [0xffe63827d533369b173ba8dd620212, 0xd4bf2035cba62b52573b968efab1e1, 0x000c3f], - ), - F::from_limbs( - [0x4b0f40448ca04c44568101d845f71f, 0x150315161c3e6e8ba6f2374a655d9d, 0x005318], - ), - F::from_limbs( - [0x7294c2bb71bbb2bba97efd27ba08e2, 0x925014876109c4ae3115d25772a7b6, 0x0020d5], - ), - F::from_limbs( - [0xe21a225b58e59f1d3e494f87fd6d91, 0x8bf565feb0f7bdf7f8f0d267d1ae2a, 0x00249a], - ), - F::from_limbs( - [0xdb89e0a4a5765fe2c1b6af78029270, 0x1b5dc39ecc507541df17373a065728, 0x004f53], - ), - F::from_limbs( - [0x94a89651aca0ff810d9cff570736e9, 0x46355ac0cbecc13494e5cc0ae758c6, 0x006c43], - ), - F::from_limbs( - [0x28fb6cae51baff7ef262ffa8f8c918, 0x611dcedcb15b720543223d96f0ac8d, 0x0007aa], - ), - F::from_limbs( - [0x9486bb67912a2b440dab45cd1fac5b, 0x03d7743e9a0675583bdb136e9f86e1, 0x001a9d], - ), - F::from_limbs( - [0x291d47986d31d3bbf254b932e053a6, 0xa37bb55ee341bde19c2cf633387e72, 0x005950], - ), - F::from_limbs( - [0x6fb582ac74db12571ba2fccf28601b, 0xfa8d52f970ba51420be43501370b16, 0x001996], - ), - F::from_limbs( - [0x4dee80538980eca8e45d0230d79fe6, 0xacc5d6a40c8de1f7cc23d4a0a0fa3d, 0x005a56], - ), - F::from_limbs( - [0x8a65bc0f8e4d1ecdd815ee4d942bee, 0xa05ea5c70ef50d10f88231dde2f6e1, 0x003336], - ), - F::from_limbs( - [0x333e46f0700ee03227ea10b26bd413, 0x06f483d66e532628df85d7c3f50e72, 0x0040b7], - ), - F::from_limbs( - [0x56ab6223eff0406e175e44c490cbc0, 0x7a32e902f9e85187145dfaed820595, 0x0059dc], - ), - F::from_limbs( - [0x66f8a0dc0e6bbe91e8a1ba3b6f3441, 0x2d20409a835fe1b2c3aa0eb455ffbe, 0x001a11], - ), - F::from_limbs( - [0x4492b6f43bb51eca7dadda50f555e4, 0x9040823a88e7b6a42eb341ff879cb0, 0x006025], - ), - F::from_limbs( - [0x79114c0bc2a6e035825224af0aaa1d, 0x1712a762f4607c95a954c7a25068a3, 0x0013c8], - ), - F::from_limbs( - [0xc85f7efbd6188bb08956f964517062, 0x2b7d27b4c23e09768a7087f0cc2629, 0x001356], - ), - F::from_limbs( - [0xf54484042843734f76a9059bae8f9f, 0x7bd601e8bb0a29c34d9781b10bdf29, 0x006097], - ), - F::from_limbs( - [0xae4a21d39a23bee9dc91a650a90e49, 0x59d76ca02af7f2f3e98766f8c9185c, 0x0016c3], - ), - F::from_limbs( - [0x0f59e12c64384016236e58af56f1b8, 0x4d7bbcfd52504045ee80a2a90eecf7, 0x005d2a], - ), - F::from_limbs( - [0xc708b8b84ee699a565af7a806913be, 0x169d8ee087328d16baf2bdd5e94641, 0x002db7], - ), - F::from_limbs( - [0xf69b4a47af75655a9a50847f96ec43, 0x90b59abcf615a6231d154bcbeebf11, 0x004636], - ), - F::from_limbs( - [0xfb135ff413a356d5f57c79b59b2332, 0x73726e9409979c7943d6a33bc39345, 0x0061f2], - ), - F::from_limbs( - [0xc290a30beab8a82a0a83854a64dccf, 0x33e0bb0973b096c09431666614720d, 0x0011fb], - ), - F::from_limbs( - [0x71082d2903a1ac633d3e92c7ca8ccf, 0x59c69ed3df9941205e1bb9264c6a7c, 0x003c9f], - ), - F::from_limbs( - [0x4c9bd5d6faba529cc2c16c38357332, 0x4d8c8ac99daef21979ec507b8b9ad7, 0x00374e], - ), - F::from_limbs( - [0x409954448fd0a2dbcc4af4074489e8, 0xe4668304bec207238a67fd3278fde6, 0x001bce], - ), - F::from_limbs( - [0x7d0aaebb6e8b5c2433b50af8bb7619, 0xc2eca698be862c164da00c6f5f076d, 0x00581e], - ), - F::from_limbs( - [0x3c9d94a870e33f9df832cfdf2062ef, 0xb766f5943eadc0dcf3788fe23b2f53, 0x001325], - ), - F::from_limbs( - [0x81066e578d78bf6207cd2f20df9d12, 0xefec34093e9a725ce48f79bf9cd600, 0x0060c7], - ), - F::from_limbs( - [0x0865a899e8deff4935bd2f817f694b, 0x4098e2e9f12e6b368121ac0cf4ad0a, 0x004f9b], - ), - F::from_limbs( - [0xb53e5a66157cffb6ca42cf7e8096b6, 0x66ba46b38c19c80356e65d94e35849, 0x002452], - ), - F::from_limbs( - [0x505ce32828420562b851e3d2a34df5, 0x0aa154b7afb7604ccbce3186331764, 0x00663d], - ), - F::from_limbs( - [0x6d471fd7d619f99d47ae1b2d5cb20c, 0x9cb1d4e5cd90d2ed0c39d81ba4edef, 0x000db0], - ), - F::from_limbs( - [0x39e2b6fbd943d0adc24eba36b7578e, 0x29432977ae6a072570e877993c3d74, 0x005a06], - ), - F::from_limbs( - [0x83c14c0425182e523db144c948a873, 0x7e100025cede2c14671f92089bc7df, 0x0019e7], - ), - F::from_limbs( - [0xcc59c903893ca8829235424bc52016, 0x03442f2fb2879a8a9d78c4fed2b2ba, 0x004d35], - ), - F::from_limbs( - [0xf14a39fc751f567d6dcabcb43adfeb, 0xa40efa6dcac098af3a8f44a3055298, 0x0026b8], - ), - F::from_limbs( - [0x8469e061a1c6905718b817f3ccad48, 0x97adfcf78a922bf7a6f6d02f061235, 0x005335], - ), - F::from_limbs( - [0x393a229e5c956ea8e747e70c3352b9, 0x0fa52ca5f2b6074231113972d1f31e, 0x0020b8], - ), - F::from_limbs( - [0x275f891994324c998731ee0c78437a, 0x57052117e1e151ea52ef08f1e06c38, 0x004ba3], - ), - F::from_limbs( - [0x964479e66a29b26678ce10f387bc87, 0x504e08859b66e14f851900aff7991b, 0x00284a], - ), - F::from_limbs( - [0xdcd43dec9acd7108993b54226b7f93, 0x3f58561023a7fa481d537345cf6530, 0x004208], - ), - F::from_limbs( - [0xe0cfc513638e8df766c4aadd94806e, 0x67fad38d59a038f1bab4965c08a022, 0x0031e5], - ), - F::from_limbs( - [0xb309ae850664dec3e268216bdc4a30, 0x6d8cebced82bc53c32396daedbf90a, 0x000c11], - ), - F::from_limbs( - [0x0a9a547af7f7203c1d97dd9423b5d1, 0x39c63dcea51c6dfda5ce9bf2fc0c49, 0x0067dc], - ), - F::from_limbs( - [0x10ed5bae398c9c164881d4baa8a72e, 0x37284ec1415dde48a52a93151b352e, 0x004432], - ), - F::from_limbs( - [0xacb6a751c4cf62e9b77e2a455758d3, 0x702adadc3bea54f132dd768cbcd025, 0x002fbb], - ), - F::from_limbs( - [0x7fcad29e98164375352d72a0c9539a, 0xe61a3a2a9b39fcf3ec5eda0ddb53a0, 0x0042a2], - ), - F::from_limbs( - [0x3dd930616645bb8acad28c5f36ac67, 0xc138ef72e20e3645eba92f93fcb1b3, 0x00314a], - ), - F::from_limbs( - [0x72c833e4cf3499ecbf5d6f01ea2fe8, 0xdb96249a23e969ac30e42135fbc427, 0x00485a], - ), - F::from_limbs( - [0x4adbcf1b2f27651340a28ffe15d019, 0xcbbd0503595ec98da723e86bdc412c, 0x002b92], - ), - F::from_limbs( - [0xf67b913ee947b92fef56114b49c75d, 0x15ee4db709aa6e492ff0b0d05658b6, 0x0002b3], - ), - F::from_limbs( - [0xc72871c1151445d010a9edb4b638a4, 0x9164dbe6739dc4f0a81758d181ac9c, 0x00713a], - ), - F::from_limbs( - [0x576cd5a085170dfba96832adfa9266, 0x0f08c01d85df59b31745ff67db9e8b, 0x004e34], - ), - F::from_limbs( - [0x66372d5f7944f1045697cc52056d9b, 0x984a697ff768d986c0c20a39fc66c8, 0x0025b9], - ), - F::from_limbs( - [0x0bf5a0bea3c2ee335ab15ecceb6a2d, 0xf883ceaa889c7f2b1554800870c74e, 0x005daf], - ), - F::from_limbs( - [0xb1ae62415a9910cca54ea0331495d4, 0xaecf5af2f4abb40ec2b38999673e05, 0x00163d], - ), - F::from_limbs( - [0xce26afb69019f7ee3b38a3813633f1, 0xacd7204034884021f50f21b39e1d96, 0x006743], - ), - F::from_limbs( - [0xef7d53496e420711c4c75b7ec9cc10, 0xfa7c095d48bff317e2f8e7ee39e7bc, 0x000ca9], - ), - F::from_limbs( - [0xa0eb428f0d8dccd165b2490ec7254e, 0x4dd24ebf1658766f71f92679eccdd9, 0x000959], - ), - F::from_limbs( - [0x1cb8c070f0ce322e9a4db5f138dab3, 0x5980dade66efbcca660ee327eb377a, 0x006a94], - ), - F::from_limbs( - [0x8df3051d69e220022193b333c3b855, 0x287007cdc98e2e1a54f5ed6dac0e6e, 0x003683], - ), - F::from_limbs( - [0x2fb0fde29479defdde6c4bcc3c47ac, 0x7ee321cfb3ba051f83121c342bf6e5, 0x003d6a], - ), - F::from_limbs( - [0xafcb31434545d82efcfdaf4e265ab7, 0xb48988b9dbae9a54b1f2bebcea8bca, 0x002fb2], - ), - F::from_limbs( - [0x0dd8d1bcb91626d103024fb1d9a54a, 0xf2c9a0e3a19998e526154ae4ed7989, 0x00443a], - ), - F::from_limbs( - [0x730e303c173e1c090bcdd715521bb1, 0x7940ac524648faaf9f04b421b462f2, 0x0046aa], - ), - F::from_limbs( - [0x4a95d2c3e71de2f6f43227eaade450, 0x2e127d4b36ff388a3903558023a261, 0x002d43], - ), - F::from_limbs( - [0xa69d8f42e2c25b26dd05e4c4aec099, 0x5a6d7f643b5a2dee35b6cf12739eaf, 0x003dc4], - ), - F::from_limbs( - [0x170673bd1b99a3d922fa1a3b513f68, 0x4ce5aa3941ee054ba2513a8f6466a4, 0x003629], - ), - F::from_limbs( - [0x3d29335383e69a148277eef8c0a297, 0x64192e295d851bd07fc9fc34abead9, 0x00328f], - ), - F::from_limbs( - [0x807acfac7a7564eb7d8810073f5d6a, 0x4339fb741fc31769583e0d6d2c1a7a, 0x00415e], - ), - F::from_limbs( - [0x2c84f3154125602cabadec2fe322b8, 0xda59a33dcbf232a732ae1a3b0aef75, 0x002e95], - ), - F::from_limbs( - [0x911f0feabd369ed3545212d01cdd49, 0xccf9865fb1560092a559ef66cd15de, 0x004557], - ), - F::from_limbs( - [0x7570b00fca5c9a520c8c4d748fb509, 0x55665267f0974b35861cb1da153a8b, 0x003d06], - ), - F::from_limbs( - [0x483352f033ff64adf373b18b704af8, 0x51ecd7358cb0e80451eb57c7c2cac8, 0x0036e7], - ), - F::from_limbs( - [0x330977b7a8bfe99ca730e689c0bf9e, 0x7d2fce8520d1f5109fa0d7553d937a, 0x0000aa], - ), - F::from_limbs( - [0x8a9a8b48559c156358cf18763f4063, 0x2a235b185c763e293867324c9a71d9, 0x007343], - ), - F::from_limbs( - [0x4628b567af1bb4e3d5dbe0d2f73e41, 0xb74a12568801be1e72f2066186fa64, 0x006eca], - ), - F::from_limbs( - [0x777b4d984f404a1c2a241e2d08c1c0, 0xf0091746f546751b65160340510aef, 0x000522], - ), - F::from_limbs( - [0x5f56946340fdfc3b2bcdccf1ec7b16, 0x9e7e1c0691a3bae4d7a5261114f26f, 0x0055e2], - ), - F::from_limbs( - [0x5e4d6e9cbd5e02c4d432320e1384eb, 0x08d50d96eba478550062e390c312e4, 0x001e0b], - ), - F::from_limbs( - [0x01cd8bef1b22603e16064aa9a77770, 0x214dfb1c37d97fb60b67a741a4eee4, 0x006635], - ), - F::from_limbs( - [0xbbd67710e3399ec1e9f9b456588891, 0x86052e81456eb383cca0626033166f, 0x000db8], - ), - F::from_limbs( - [0xab3ea313c630b6754ceec2fde25881, 0x29cbca5aa4231b2b2fbdb88c0832f1, 0x002043], - ), - F::from_limbs( - [0x12655fec382b488ab3113c021da780, 0x7d875f42d925180ea84a5115cfd262, 0x0053aa], - ), - F::from_limbs( - [0x54e5045f96bdb5b46b6df596ba6ecf, 0xd3064ba6d18615e83527ce053b131c, 0x0055e9], - ), - F::from_limbs( - [0x68befea0679e494b94920969459132, 0xd44cddf6abc21d51a2e03b9c9cf237, 0x001e03], - ), - F::from_limbs( - [0x54642678ea64b7408a86452d1142b4, 0x14a479d7e1869cfafd436d7b412b06, 0x005c62], - ), - F::from_limbs( - [0x693fdc8713f747bf7579b9d2eebd4d, 0x92aeafc59bc1963edac49c2696da4d, 0x00178b], - ), - F::from_limbs( - [0x771d65b2ee56d3198a034b1e705c0e, 0x117113c5d5a3e04369454396c3893c, 0x00255c], - ), - F::from_limbs( - [0x46869d4d10052be675fcb3e18fa3f3, 0x95e215d7a7a452f66ec2c60b147c17, 0x004e91], - ), - F::from_limbs( - [0xc93f37bda7b84b0c06f42c4fa19fd3, 0xbb72051a32b8635dba604a48d7ba10, 0x003d0b], - ), - F::from_limbs( - [0xf464cb4256a3b3f3f90bd2b05e602e, 0xebe124834a8fcfdc1da7bf59004b42, 0x0036e1], - ), - F::from_limbs( - [0x7d52a475e8ce1152a4c44c49a49f1e, 0x1bd32e1843bc1a3ef55558b56d6d42, 0x006dee], - ), - F::from_limbs( - [0x40515e8a158dedad5b3bb2b65b60e3, 0x8b7ffb85398c18fae2b2b0ec6a9811, 0x0005ff], - ), - F::from_limbs( - [0x4ef4c6bf3fe0c6c7ea608db8cd652c, 0x7ca6fc96f67ff5389b96856be8b140, 0x001df5], - ), - F::from_limbs( - [0x6eaf3c40be7b3838159f7147329ad5, 0x2aac2d0686c83e013c718435ef5413, 0x0055f8], - ), - F::from_limbs( - [0x38cc4f07468cebd78b1ef5748164e7, 0x56c04012bb93b8a0671498f387398d, 0x005e68], - ), - F::from_limbs( - [0x84d7b3f8b7cf132874e1098b7e9b1a, 0x5092e98ac1b47a9970f370ae50cbc6, 0x001585], - ), - F::from_limbs( - [0x6041cee0c4bdac8586e7bf3217bc38, 0x75545a9dcb2faf33b868f0e27d4ed6, 0x000a79], - ), - F::from_limbs( - [0x5d62341f399e527a79183fcde843c9, 0x31feceffb21884061f9f18bf5ab67d, 0x006974], - ), - F::from_limbs( - [0x8111d9b58068eda22cb0c0043581b8, 0x5f69535823b4eea87dbd8b3e7293c0, 0x004118], - ), - F::from_limbs( - [0x3c92294a7df3115dd34f3efbca7e49, 0x47e9d645599344915a4a7e63657193, 0x0032d5], - ), - F::from_limbs( - [0x01fb897d05b8538dfcd4912667f55f, 0x2898a7c259a810a20368471f6635e8, 0x0064e3], - ), - F::from_limbs( - [0xbba87982f8a3ab72032b6dd9980aa2, 0x7eba81db23a02297d49fc28271cf6b, 0x000f0a], - ), - F::from_limbs( - [0x6cbfc87f549eb20f15758baad3fcf4, 0x7eef82a73dc4782fd931be0cba8ab0, 0x0018e1], - ), - F::from_limbs( - [0x50e43a80a9bd4cf0ea8a73552c030d, 0x2863a6f63f83bb09fed64b951d7aa3, 0x005b0c], - ), - F::from_limbs( - [0x04a2294bb265301622dd5a6889a8e8, 0x0e0589dd793aa51bfee012ab18ba91, 0x00362f], - ), - F::from_limbs( - [0xb901d9b44bf6cee9dd22a497765719, 0x994d9fc0040d8e1dd927f6f6bf4ac2, 0x003dbe], - ), - F::from_limbs( - [0x1b8dd0e729d15d3f10f3a9abb257e1, 0x83b64fd60550e6c6e2fafbc3c935b1, 0x003718], - ), - F::from_limbs( - [0xa2163218d48aa1c0ef0c55544da820, 0x239cd9c777f74c72f50d0dde0ecfa2, 0x003cd5], - ), - F::from_limbs( - [0xc59162052451257675b5beeb6153ca, 0x7850ce28f03eea18ac2f59bed4eb36, 0x004405], - ), - F::from_limbs( - [0xf812a0fada0ad9898a4a40149eac37, 0x2f025b748d0949212bd8afe3031a1c, 0x002fe8], - ), - F::from_limbs( - [0x80f5ffdc6ac2e316a9e3e795d08887, 0xba2e026f2459a189d7e4af45dab593, 0x000688], - ), - F::from_limbs( - [0x3cae032393991be9561c176a2f777a, 0xed25272e58ee91b000235a5bfd4fc0, 0x006d64], - ), - F::from_limbs( - [0x78af6ba70b7705f1af8f454525fd66, 0xb1110b25238c7d7128741250354861, 0x004c33], - ), - F::from_limbs( - [0x44f49758f2e4f90e5070b9bada029b, 0xf6421e7859bbb5c8af93f751a2bcf2, 0x0027b9], - ), - F::from_limbs( - [0x3ec884963a020ab3e6eed5afa1109b, 0xced439e3c7897f5870bc08c4081661, 0x005db4], - ), - F::from_limbs( - [0x7edb7e69c459f44c191129505eef66, 0xd87eefb9b5beb3e1674c00ddcfeef2, 0x001638], - ), - F::from_limbs( - [0xffa1a105df6b8a7429c1fa7a88c247, 0xe1cbced44b4c46145a561c41e22acf, 0x000701], - ), - F::from_limbs( - [0xbe0261fa1ef0748bd63e0485773dba, 0xc5875ac931fbed257db1ed5ff5da83, 0x006ceb], - ), - F::from_limbs( - [0x72266b93838c16cd4b696e7ea423f1, 0x1336b5ca226c34c543b8647ce9de4c, 0x000c72], - ), - F::from_limbs( - [0x4b7d976c7acfe832b49690815bdc10, 0x941c73d35adbfe74944fa524ee2707, 0x00677b], - ), - F::from_limbs( - [0x6a4f579172314a0ff8423daf2fdb50, 0xfcd83aa5a469524e3a763bb50b0994, 0x0054c0], - ), - F::from_limbs( - [0x5354ab6e8c2ab4f007bdc150d024b1, 0xaa7aeef7d8dee0eb9d91cdecccfbbf, 0x001f2c], - ), - F::from_limbs( - [0x2feb30d6711c70e95f38660e9d1536, 0xd7d20dac46ed6eae360ede81eba8db, 0x000832], - ), - F::from_limbs( - [0x8db8d2298d3f8e16a0c798f162eacb, 0xcf811bf1365ac48ba1f92b1fec5c78, 0x006bba], - ), - F::from_limbs( - [0x0e24ef2f570c8a24438957b3e25619, 0x0e58dcdd8ce7f82295c732d111a2b2, 0x001a66], - ), - F::from_limbs( - [0xaf7f13d0a74f74dbbc76a74c1da9e8, 0x98fa4cbff0603b174240d6d0c662a1, 0x005987], - ), - F::from_limbs( - [0xa33e0d6b4dc2d87ee857bf1f253512, 0x8b55856bf49320c8b3bf4746e7abf6, 0x004877], - ), - F::from_limbs( - [0x1a65f594b099268117a83fe0dacaef, 0x1bfda43188b512712448c25af0595d, 0x002b76], - ), - F::from_limbs( - [0x1764ae9a77652c25c83bb50749f0af, 0x7bc7ac9a877903f012dba811a16818, 0x005e0b], - ), - F::from_limbs( - [0xa63f546586f6d2da37c449f8b60f52, 0x2b8b7d02f5cf2f49c52c6190369d3b, 0x0015e2], - ), - F::from_limbs( - [0xca8e5c4d2dc5ffd2878366fcec15ba, 0x702dd52769aebdb6bf288d790d89bd, 0x005d19], - ), - F::from_limbs( - [0xf315a6b2d095ff2d787c980313ea47, 0x372554761399758318df7c28ca7b95, 0x0016d4], - ), - F::from_limbs( - [0x3d7e9803ec74e17a030cc2de5db52b, 0xdbf168716b60e5789556beff8edeb6, 0x001d12], - ), - F::from_limbs( - [0x80256afc11e71d85fcf33c21a24ad6, 0xcb61c12c11e74dc142b14aa249269d, 0x0056da], - ), - F::from_limbs( - [0x7d166d26d7d13fef678c866ccd32d7, 0x1642c7524b471810c6122bee51ba89, 0x00725d], - ), - F::from_limbs( - [0x408d95d9268abf109873789332cd2a, 0x9110624b32011b2911f5ddb3864aca, 0x000190], - ), - F::from_limbs( - [0x03788dd25be1b072994949fe8dda46, 0x315227033bb160f1e69f8f0320b088, 0x00622c], - ), - F::from_limbs( - [0xba2b752da27a4e8d66b6b5017225bb, 0x7601029a4196d247f1687a9eb754cb, 0x0011c1], - ), - F::from_limbs( - [0x785fd8b3542a38a4a7a41d55234864, 0x2b04f3a711b74789f746a17afd9bde, 0x00241f], - ), - F::from_limbs( - [0x45442a4caa31c65b585be1aadcb79d, 0x7c4e35f66b90ebafe0c16826da6975, 0x004fce], - ), - F::from_limbs( - [0xbff88c0b7e4246f003cd6e73efb611, 0x0fdde70e992d0cc516e3bb219c82aa, 0x00146d], - ), - F::from_limbs( - [0xfdab76f48019b80ffc32908c1049f0, 0x9775428ee41b2674c1244e803b82a8, 0x005f80], - ), - F::from_limbs( - [0x40e7eb01aad13b85caa34fd9b2b6ce, 0xb1d9346b1f74337b8c94b4e3a208e5, 0x007275], - ), - F::from_limbs( - [0x7cbc17fe538ac37a355caf264d4933, 0xf579f5325dd3ffbe4b7354be35fc6e, 0x000177], - ), - F::from_limbs( - [0x679941d7e3344ac1f99b485bb67d21, 0xd9e4727786c36067482e2d9445f9ef, 0x005aef], - ), - F::from_limbs( - [0x560ac1281b27b43e0664b6a44982e0, 0xcd6eb725f684d2d28fd9dc0d920b64, 0x0018fd], - ), - F::from_limbs( - [0xda7cb26fe41c7fe6b19f0b5eadf9cb, 0x1c67b10780e18ea3e9254dbb27ead7, 0x001c02], - ), - F::from_limbs( - [0xe32750901a3f7f194e60f3a1520636, 0x8aeb7895fc66a495eee2bbe6b01a7b, 0x0057eb], - ), - F::from_limbs( - [0xafd9f0df88a27eefe8ef07b5048efa, 0x742370737a124164b50a572c9c65ee, 0x000ad7], - ), - F::from_limbs( - [0x0dca122075b980101710f74afb7107, 0x332fb92a0335f1d522fdb2753b9f65, 0x006916], - ), - F::from_limbs( - [0xde4d06174139246cfaf4c817c13fe6, 0x0e1ec7a28bb857f5f1a3b50f2b7f30, 0x0000c5], - ), - F::from_limbs( - [0xdf56fce8bd22da93050b36e83ec01b, 0x993461faf18fdb43e6645492ac8622, 0x007328], - ), - F::from_limbs( - [0x42551c91b1af3382fe7994226a7881, 0x30fb21510ba3cb52d65ec3b820f174, 0x005b33], - ), - F::from_limbs( - [0x7b4ee66e4caccb7d01866add958780, 0x7658084c71a467e701a945e9b713df, 0x0018ba], - ), - F::from_limbs( - [0x97168a3a6000fe4541b8ff2ee0434e, 0x66525526a65439feec240d80689fd6, 0x000951], - ), - F::from_limbs( - [0x268d78c59e5b00babe46ffd11fbcb3, 0x4100d476d6f3f93aebe3fc216f657d, 0x006a9c], - ), - F::from_limbs( - [0xa07e9cbe5a10af2a5e7b785841a1da, 0xb67ad287bb0f9589c90d5aa47634ea, 0x00668d], - ), - F::from_limbs( - [0x1d256641a44b4fd5a18486a7be5e27, 0xf0d85715c2389db00efaaefd61d069, 0x000d5f], - ), - F::from_limbs( - [0x6c91b560c5b82c9b2ee1a0bf112931, 0xdc55e43f779e0eace99e48f3d3cad6, 0x00243a], - ), - F::from_limbs( - [0x51124d9f38a3d264d11e5e40eed6d0, 0xcafd455e05aa248cee69c0ae043a7d, 0x004fb2], - ), - F::from_limbs( - [0x424f00b1a2b32fa0eaaaa3583a6b80, 0x91a1889c6ab2045e7a34773491a611, 0x003362], - ), - F::from_limbs( - [0x7b55024e5ba8cf5f15555ba7c59481, 0x15b1a10112962edb5dd3926d465f42, 0x00408b], - ), - F::from_limbs( - [0x0c078154d7c539a4c94125ad9dc176, 0x0931b15c62562ce4ba2c4bf31f353e, 0x006905], - ), - F::from_limbs( - [0xb19c81ab2696c55b36bed952623e8b, 0x9e2178411af206551ddbbdaeb8d015, 0x000ae8], - ), - F::from_limbs( - [0x9ad324193961627372e26d5720949f, 0x2ca6312ad70d5e3ab4ed8e1c3483aa, 0x0004a4], - ), - F::from_limbs( - [0x22d0dee6c4fa9c8c8d1d91a8df6b62, 0x7aacf872a63ad4ff231a7b85a381a9, 0x006f49], - ), - F::from_limbs( - [0xdf8723cf6834a9b16c92903c30681c, 0x7af602a41b0e4a7055b0fa4b32af44, 0x002a33], - ), - F::from_limbs( - [0xde1cdf309627554e936d6ec3cf97e5, 0x2c5d26f96239e8c982570f56a5560e, 0x0049ba], - ), - F::from_limbs( - [0xa005008f5fa2fe6cd888c85ca05ae9, 0xeeb1a28cdf1a91ecc533285f28b4ad, 0x001b61], - ), - F::from_limbs( - [0x1d9f02709eb90093277736a35fa518, 0xb8a187109e2da14d12d4e142af50a6, 0x00588b], - ), - F::from_limbs( - [0xec083a342b6152dc6c5431b7a01194, 0x444efe927bc8a141881064cd54d304, 0x002aaf], - ), - F::from_limbs( - [0xd19bc8cbd2faac2393abcd485fee6d, 0x63042b0b017f91f84ff7a4d483324e, 0x00493e], - ), - F::from_limbs( - [0xbf1d8539e5c50b799bd1773c3aadf2, 0xd6eec90f1e192c0cc5b558b3509c77, 0x00455e], - ), - F::from_limbs( - [0xfe867dc61896f386642e87c3c5520f, 0xd064608e5f2f072d1252b0ee8768db, 0x002e8e], - ), - F::from_limbs( - [0x4148b024d3ffa61cfd232fb7ac2d01, 0x8edaee2eeaed1ac42c62e56cb955a3, 0x0058ad], - ), - F::from_limbs( - [0x7c5b52db2a5c58e302dccf4853d300, 0x18783b6e925b1875aba524351eafb0, 0x001b40], - ), - F::from_limbs( - [0x8bf3cd9093c0a2b6e7d38c824464d3, 0x5f24ab69299e82782d7daff3118923, 0x00223a], - ), - F::from_limbs( - [0x31b0356f6a9b5c49182c727dbb9b2e, 0x482e7e3453a9b0c1aa8a59aec67c30, 0x0051b3], - ), - F::from_limbs( - [0xd0cb7ff2325177578545b4e64baae6, 0x86f9eb22d5720a288c1ac768fd31db, 0x00344b], - ), - F::from_limbs( - [0xecd8830dcc0a87a87aba4a19b4551b, 0x20593e7aa7d629114bed4238dad377, 0x003fa2], - ), - F::from_limbs( - [0x49071f297def3c20da606ff4a3ba2b, 0x096ad9987ad9cbf93d062b4fda502a, 0x0072bf], - ), - F::from_limbs( - [0x749ce3d6806cc2df259f8f0b5c45d6, 0x9de85005026e67409b01de51fdb529, 0x00012e], - ), - F::from_limbs( - [0x9d3446b5219ed92c78c12b5913ffa2, 0x02082ceecbc03f01ab9eac85850baf, 0x0049e6], - ), - F::from_limbs( - [0x206fbc4adcbd25d3873ed3a6ec005f, 0xa54afcaeb187f4382c695d1c52f9a4, 0x002a07], - ), - F::from_limbs( - [0xb7b50e5693aeb64287ce1144fcf019, 0x4f3eb4931089c5be3aa28cfc810120, 0x00352c], - ), - F::from_limbs( - [0x05eef4a96aad48bd7831edbb030fe8, 0x5814750a6cbe6d7b9d657ca5570433, 0x003ec1], - ), - F::from_limbs( - [0x30d9ac186fc5451f5753e3ccc4922e, 0x33f624c17d074b024c21cfa2302540, 0x0041ae], - ), - F::from_limbs( - [0x8cca56e78e96b9e0a8ac1b333b6dd3, 0x735d04dc0040e8378be639ffa7e013, 0x00323f], - ), - F::from_limbs( - [0x4de56daf67ef102318f1f6844036ac, 0x01b7108f6c67604297e1df5b7fe9fe, 0x007097], - ), - F::from_limbs( - [0x6fbe9550966ceedce70e087bbfc955, 0xa59c190e10e0d2f740262a46581b55, 0x000356], - ), - F::from_limbs( - [0xdc15bbb51c14b8bde69ad1be866e28, 0x4d702f536f1aef56d22dab86198a12, 0x005741], - ), - F::from_limbs( - [0xe18e474ae247464219652d417991d9, 0x59e2fa4a0e2d43e305da5e1bbe7b40, 0x001cac], - ), - F::from_limbs( - [0x148b46fc8a9536b994f7e88da69099, 0xc54dedb0dd5c00f2b6fdeb2434990d, 0x0054a9], - ), - F::from_limbs( - [0xa918bc0373c6c8466b081672596f68, 0xe2053bec9fec3247210a1e7da36c46, 0x001f43], - ), - F::from_limbs( - [0xe0344c49d79b66f214cc49a9ca287b, 0x7bd852e497f37956c16f3a78ae28ee, 0x0051ec], - ), - F::from_limbs( - [0xdd6fb6b626c0980deb33b55635d786, 0x2b7ad6b8e554b9e31698cf2929dc64, 0x002201], - ), - F::from_limbs( - [0x29e9208281d2988e92a08175236817, 0x8c4fc8876304b7701b97622a206b2e, 0x000f79], - ), - F::from_limbs( - [0x93bae27d7c8966716d5f7d8adc97ea, 0x1b0361161a437bc9bc70a777b79a25, 0x006474], - ), - F::from_limbs( - [0x2d67a18dc838277b51fa789fe811c1, 0x6d59e26f95d8df3b80de686838f4c0, 0x00420a], - ), - F::from_limbs( - [0x903c61723623d784ae05866017ee40, 0x39f9472de76f53fe5729a1399f1093, 0x0031e3], - ), - F::from_limbs( - [0x98ce89ad3c4462f52172b7909c822f, 0x0f6f20aebd433bab579958add5d563, 0x000238], - ), - F::from_limbs( - [0x24d57952c2179c0ade8d476f637dd2, 0x97e408eec004f78e806eb0f4022ff0, 0x0071b5], - ), - F::from_limbs( - [0xad8bd407c8c41c02e2f94cd781d69e, 0xec60d8a45e9d074f9aa0ec1140c136, 0x0017c1], - ), - F::from_limbs( - [0x10182ef83597e2fd1d06b2287e2963, 0xbaf250f91eab2bea3d671d9097441d, 0x005c2b], - ), - F::from_limbs( - [0x0d246202280193fea7c33496a345f2, 0xbad21bb26cbe0156dd6f2d56b9c192, 0x0059a2], - ), - F::from_limbs( - [0xb07fa0fdd65a6b01583cca695cba0f, 0xec810deb108a31e2fa98dc4b1e43c1, 0x001a4a], - ), - F::from_limbs( - [0xb9bbd9b0a3590b2ee4c0317b41459b, 0x8c1a3548e372b5c82a603c67a3a3ba, 0x0016fd], - ), - F::from_limbs( - [0x03e8294f5b02f3d11b3fcd84beba66, 0x1b38f45499d57d71ada7cd3a346199, 0x005cf0], - ), - F::from_limbs( - [0xc58a0b042cd4dc35d1ae71abd0a54d, 0x72419d80770cd6be007959cfa1c61b, 0x001793], - ), - F::from_limbs( - [0xf819f7fbd18722ca2e518d542f5ab4, 0x35118c1d063b5c7bd78eafd2363f37, 0x005c5a], - ), - F::from_limbs( - [0x712f65dddcac5339a8f2d056a4027d, 0x8447f4db2f2599713674356834f476, 0x0059ac], - ), - F::from_limbs( - [0x4c749d2221afabc6570d2ea95bfd84, 0x230b34c24e2299c8a193d439a310dd, 0x001a41], - ), - F::from_limbs( - [0x620b99aa201e9b7554cb01f596606f, 0x550e339064cc77fc010ff1bb87e048, 0x0000de], - ), - F::from_limbs( - [0x5b986955de3d638aab34fd0a699f92, 0x5244f60d187bbb3dd6f817e650250b, 0x00730f], - ), - F::from_limbs( - [0x7feef21aa1455b1985e5010d1e28f9, 0xf7d7a6997c064a244131970ee26e59, 0x005cf3], - ), - F::from_limbs( - [0x3db510e55d16a3e67a1afdf2e1d708, 0xaf7b83040141e91596d67292f596fa, 0x0016f9], - ), - F::from_limbs( - [0xef0eef02e9618bbf1b369c0a8445b6, 0x330063d404e1d74a7534d0a5cfbcaf, 0x006be4], - ), - F::from_limbs( - [0xce9513fd14fa7340e4c962f57bba4b, 0x7452c5c978665bef62d338fc0848a3, 0x000809], - ), - F::from_limbs( - [0x42f05b2dd0efa96d4b3d6d88b9ec49, 0x2dcdcaf325db8a076a0804aaf03d6b, 0x005a7e], - ), - F::from_limbs( - [0x7ab3a7d22d6c5592b4c291774613b8, 0x79855eaa576ca9326e0004f6e7c7e8, 0x00196f], - ), - F::from_limbs( - [0x278442906cdcb997c7058ee0f32403, 0x15d0bc7ed9cb8c826031662df9e760, 0x006c7a], - ), - F::from_limbs( - [0x961fc06f917f456838fa701f0cdbfe, 0x91826d1ea37ca6b777d6a373de1df3, 0x000773], - ), - F::from_limbs( - [0x81b9b0030fff9b9dc2b95bda888cc3, 0x66c29c0c4d935f8efca0709e9fdc07, 0x004f0a], - ), - F::from_limbs( - [0x3bea52fcee5c63623d46a32577733e, 0x40908d912fb4d3aadb67990338294c, 0x0024e3], - ), - F::from_limbs( - [0xb13e62a6404a74daf6c1cc2b79b805, 0x1db2c4fc40430e536c4bf821b25948, 0x002e8d], - ), - F::from_limbs( - [0x0c65a059be118a25093e32d48647fc, 0x89a064a13d0524e66bbc118025ac0b, 0x004560], - ), - F::from_limbs( - [0x4ad0183cb4d23e3b9f40dc39226ef2, 0xbb8a5f91996cc7e207d405cec60f24, 0x004c63], - ), - F::from_limbs( - [0x72d3eac34989c0c460bf22c6dd910f, 0xebc8ca0be3db6b57d03403d311f62f, 0x002789], - ), - F::from_limbs( - [0x1d4b203d557fd3d0bd794485b1cd59, 0xff0465d7945d6b0fd286dc1624d8de, 0x001a8d], - ), - F::from_limbs( - [0xa058e2c2a8dc2b2f4286ba7a4e32a8, 0xa84ec3c5e8eac82a05812d8bb32c75, 0x00595f], - ), - F::from_limbs( - [0x7f4e7f70ec86ac05e2e6cb0db28404, 0x71b2bcbcebb0e07032ac4dd9f48655, 0x00222d], - ), - F::from_limbs( - [0x3e55838f11d552fa1d1933f24d7bfd, 0x35a06ce0919752c9a55bbbc7e37efe, 0x0051c0], - ), - F::from_limbs( - [0x31d6a3b689584dd2f0f5e5e994ff3a, 0x98eed454988b6dee792e47fe9ebe96, 0x003268], - ), - F::from_limbs( - [0x8bcd5f497503b12d0f0a19166b00c7, 0x0e645548e4bcc54b5ed9c1a33946bd, 0x004185], - ), - F::from_limbs( - [0xd1a69ef390c21d4a865bf20d7fe4ff, 0x7ca7fee6f701be6bd1e602f93f1e7a, 0x000a60], - ), - F::from_limbs( - [0xebfd640c6d99e1b579a40cf2801b02, 0x2aab2ab6864674ce062206a898e6d8, 0x00698d], - ), - F::from_limbs( - [0x62a8e248a5873997ef4c4862dac48b, 0x5edd0c55c21a756db007d73ddfd82b, 0x000083], - ), - F::from_limbs( - [0x5afb20b758d4c56810b3b69d253b76, 0x48761d47bb2dbdcc28003263f82d28, 0x00736a], - ), - F::from_limbs( - [0xfbf6b6977f335ccc7ee15d01f39a0d, 0x40eb8f3ff496463dea24c6c2f0113d, 0x005839], - ), - F::from_limbs( - [0xc1ad4c687f28a233811ea1fe0c65f4, 0x66679a5d88b1ecfbede342dee7f415, 0x001bb4], - ), - F::from_limbs( - [0xa998918baa4ee01f8dc38c14a70a7d, 0x9a0c8d46e5c1431b68c23ab353eb5a, 0x00529a], - ), - F::from_limbs( - [0x140b7174540d1ee0723c72eb58f584, 0x0d469c569786f01e6f45ceee8419f9, 0x002153], - ), - F::from_limbs( - [0xf5f8fb1cfd35bf416d25664132e681, 0xacd15cff4a085d468a777ba29478a8, 0x0063a1], - ), - F::from_limbs( - [0xc7ab07e301263fbe92da98becd1980, 0xfa81cc9e333fd5f34d908dff438caa, 0x00104b], - ), - F::from_limbs( - [0xa148a069f07e83085c098a064e640d, 0x1d433b70d20df332844e948cea8ef0, 0x0059bd], - ), - F::from_limbs( - [0x1c5b62960ddd7bf7a3f674f9b19bf4, 0x8a0fee2cab3a400753b97514ed7663, 0x001a30], - ), - F::from_limbs( - [0x323eed0b7541f7626cf66312dc75d4, 0xf0cfc53f02ad2cff5e64aca06bfdc0, 0x000521], - ), - F::from_limbs( - [0x8b6515f4891a079d93099bed238a2d, 0xb683645e7a9b063a79a35d016c0793, 0x006ecb], - ), - F::from_limbs( - [0x6d33f723b2c096edd01d1e9965d339, 0xe5c62447e6c5b903259bd01c07a223, 0x007091], - ), - F::from_limbs( - [0x50700bdc4b9b68122fe2e0669a2cc8, 0xc18d055596827a36b26c3985d06330, 0x00035b], - ), - F::from_limbs( - [0xced4862f3112b54a33b4ca4fa500d5, 0xe64e6e329643ccb9d7408ba4ad4f77, 0x0046d5], - ), - F::from_limbs( - [0xeecf7cd0cd4949b5cc4b34b05aff2c, 0xc104bb6ae704668000c77dfd2ab5db, 0x002d17], - ), - F::from_limbs( - [0xa7edc3eeb1ea0f3cd3d2e1c03a844c, 0xc7495e0793b32f9ded387ed31cf4f1, 0x001257], - ), - F::from_limbs( - [0x15b63f114c71efc32c2d1d3fc57bb5, 0xe009cb95e995039beacf8acebb1062, 0x006195], - ), - F::from_limbs( - [0xca9f6f63c7ee570593110cdd147867, 0x0c5a1acc4e039943b8c1f1c32bb124, 0x006d19], - ), - F::from_limbs( - [0xf304939c366da7fa6ceef222eb879a, 0x9af90ed12f4499f61f4617deac542e, 0x0006d4], - ), - F::from_limbs( - [0xa3138bbc3a874b460e884790b8c345, 0x8a70e4c6426c457a1f0b6f25f22f8b, 0x0049a9], - ), - F::from_limbs( - [0x1a907743c3d4b3b9f177b76f473cbc, 0x1ce244d73adbedbfb8fc9a7be5d5c8, 0x002a44], - ), - F::from_limbs( - [0x1169992c0dfff849ad9eda3ab2596b, 0xed13f5196adafec2c1e6f695673957, 0x006c32], - ), - F::from_limbs( - [0xac3a69d3f05c06b6526124c54da696, 0xba3f3484126d34771621130c70cbfc, 0x0007ba], - ), - F::from_limbs( - [0x55a2ee5f896a4409af8f18266456c5, 0xac223b8b00a756b079736230d8d1e0, 0x005356], - ), - F::from_limbs( - [0x680114a074f1baf65070e6d99ba93c, 0xfb30ee127ca0dc895e94a770ff3373, 0x002096], - ), - F::from_limbs( - [0x2b4bfeb55dfba683a202b9605bdc7f, 0xcd834da0dfe13d24b851b6e0e2940a, 0x005b37], - ), - F::from_limbs( - [0x9258044aa060587c5dfd459fa42382, 0xd9cfdbfc9d66f6151fb652c0f57149, 0x0018b5], - ), - F::from_limbs( - [0x95ffdf3831c932ebf8ff080a52e66f, 0x9145a9d644ccae7ba896e4494d8bb6, 0x00364c], - ), - F::from_limbs( - [0x27a423c7cc92cc140700f6f5ad1992, 0x160d7fc7387b84be2f7125588a799d, 0x003da1], - ), - F::from_limbs( - [0x548acb6d790da51557c2f3467bd1ca, 0x515b1711e6667471e199a39130b996, 0x0006b9], - ), - F::from_limbs( - [0x69193792854e59eaa83d0bb9842e37, 0x55f8128b96e1bec7f66e6610a74bbd, 0x006d34], - ), - F::from_limbs( - [0x0352b62f3f203eb38d064ea8444127, 0xfa03ad3c8255023718eed874887b51, 0x005aee], - ), - F::from_limbs( - [0xba514cd0bf3bc04c72f9b057bbbeda, 0xad4f7c60faf33102bf19312d4f8a02, 0x0018fe], - ), - F::from_limbs( - [0x6d63f8b28503442b436d7a469e3045, 0xd3a13151f5da0c095cf1e33152987a, 0x004c75], - ), - F::from_limbs( - [0x50400a4d7958bad4bc9284b961cfbc, 0xd3b1f84b876e27307b162670856cd9, 0x002777], - ), - F::from_limbs( - [0x62f6b763e08ab37846d9e1c754b5dc, 0x4af774526aa008078f5f1149b3a08b, 0x00327c], - ), - F::from_limbs( - [0x5aad4b9c1dd14b87b9261d38ab4a25, 0x5c5bb54b12a82b3248a8f8582464c8, 0x004171], - ), - F::from_limbs( - [0xe5fdb63351c0ec536a984065c92adf, 0xe30b5b7bc5bd438d2dbf46dd5590f9, 0x000898], - ), - F::from_limbs( - [0xd7a64cccac9b12ac9567be9a36d522, 0xc447ce21b78aefacaa48c2c4827459, 0x006b54], - ), - F::from_limbs( - [0x2db53007db7808cb26d9489265bf28, 0x370156cdae5227f2d34b0ee0bab27b, 0x006103], - ), - F::from_limbs( - [0x8feed2f822e3f634d926b66d9a40d9, 0x7051d2cfcef60b4704bcfac11d52d8, 0x0012ea], - ), - F::from_limbs( - [0xe92a5ff656e571e252f6a3681e0665, 0x48279a4d32928213bbd737bf0e62fa, 0x0067b7], - ), - F::from_limbs( - [0xd479a309a7768d1dad095b97e1f99c, 0x5f2b8f504ab5b1261c30d1e2c9a258, 0x000c36], - ), - F::from_limbs( - [0x4a3619fc303084522303685af9251f, 0xec39741c1ee0841ec896cf8d6b71cc, 0x003f80], - ), - F::from_limbs( - [0x736de903ce2b7aaddcfc96a506dae2, 0xbb19b5815e67af1b0f713a146c9387, 0x00346c], - ), - F::from_limbs( - [0x09b29d2aaa46f58fde839c9b10f95a, 0xf481668a98cc916653ef8ee10c3160, 0x000b47], - ), - F::from_limbs( - [0xb3f165d554150970217c6264ef06a7, 0xb2d1c312e47ba1d384187ac0cbd3f3, 0x0068a5], - ), - F::from_limbs( - [0x8d4f7d4f608b27831af13e1a684e43, 0xeabd406c3a9d1aaa8bc17630875b9a, 0x002669], - ), - F::from_limbs( - [0x305485b09dd0d77ce50ec0e597b1be, 0xbc95e93142ab188f4c46937150a9b9, 0x004d83], - ), - F::from_limbs( - [0x5f59426e561ac3a0d046361160c87d, 0xf67c9a365f924184a3278cbac76cf6, 0x001e28], - ), - F::from_limbs( - [0x5e4ac091a8413b5f2fb9c8ee9f3784, 0xb0d68f671db5f1b534e07ce710985d, 0x0055c4], - ), - F::from_limbs( - [0xb504c88bc20bd7cd2b2f4c41dff3cb, 0x1dab874c3d6a7726f871b0da235e08, 0x00698f], - ), - F::from_limbs( - [0x089f3a743c502732d4d0b2be200c36, 0x89a7a2513fddbc12df9658c7b4a74b, 0x000a5e], - ), - F::from_limbs( - [0x5f34977fa341337055b514a4510f6a, 0x373ad66cee9842076ef74d0b719d55, 0x005dd7], - ), - F::from_limbs( - [0x5e6f6b805b1acb8faa4aea5baef097, 0x701853308eaff1326910bc966667fe, 0x001616], - ), - F::from_limbs( - [0x6c461ae56f072df424341daddcab5d, 0x0d96bee11ebb5204f44088385855a8, 0x004aa1], - ), - F::from_limbs( - [0x515de81a8f54d10bdbcbe1522354a4, 0x99bc6abc5e8ce134e3c781697fafab, 0x00294c], - ), - F::from_limbs( - [0x0e8aaa2c0adab646add4de51661716, 0x17a81ec992dbd332c8edcb31b9c532, 0x006f8c], - ), - F::from_limbs( - [0xaf1958d3f38148b9522b20ae99e8eb, 0x8fab0ad3ea6c60070f1a3e701e4021, 0x000461], - ), - F::from_limbs( - [0x966df282c99da1552407971d6a01b3, 0xc4a1e86297dd1f72eaf592b1a5e37c, 0x001064], - ), - F::from_limbs( - [0x2736107d34be5daadbf867e295fe4e, 0xe2b1413ae56b13c6ed1276f03221d7, 0x006388], - ), - F::from_limbs( - [0xdf55fe0e814040452ccd3a84afddff, 0xc0bccf122cf17f89e05099b9346eb4, 0x004fc3], - ), - F::from_limbs( - [0xde4e04f17d1bbebad332c47b502202, 0xe6965a8b5056b3aff7b76fe8a3969e, 0x002429], - ), - F::from_limbs( - [0x9025299f9d89f8b0a40e557f4b46ae, 0xb7cf8d35960d07e1837d2ec951dce4, 0x000c0e], - ), - F::from_limbs( - [0x2d7ed96060d2064f5bf1a980b4b953, 0xef839c67e73b2b58548adad886286f, 0x0067de], - ), - F::from_limbs( - [0x627ca6b51d001a6f9d0064fac7137d, 0xba9652521c23efdb2f0828054b7fb3, 0x006f56], - ), - F::from_limbs( - [0x5b275c4ae15be49062ff9a0538ec84, 0xecbcd74b6124435ea8ffe19c8c85a0, 0x000496], - ), - F::from_limbs( - [0x57c9facced7b915f66134727f54889, 0xc12d8a6f82133cf6cd1d9efc7c146e, 0x006c0e], - ), - F::from_limbs( - [0x65da083310e06da099ecb7d80ab778, 0xe6259f2dfb34f6430aea6aa55bf0e5, 0x0007de], - ), - F::from_limbs( - [0x339834601eaf9df9b5ad7e3464f5a5, 0x51053381165e056f4fd9e2e5174451, 0x00510f], - ), - F::from_limbs( - [0x8a0bce9fdfac61064a5280cb9b0a5c, 0x564df61c66ea2dca882e26bcc0c102, 0x0022de], - ), - F::from_limbs( - [0xea1b243740a635ed1c6473b3e31cf7, 0x6e5ee340acc503a56cc8813aa331a6, 0x0022c3], - ), - F::from_limbs( - [0xd388dec8bdb5c912e39b8b4c1ce30a, 0x38f4465cd0832f946b3f886734d3ac, 0x00512a], - ), - F::from_limbs( - [0xa5a037f31901964ec74d66ce5ce51d, 0xd1a16317e2eef74564930e6096c055, 0x006852], - ), - F::from_limbs( - [0x1803cb0ce55a68b138b29831a31ae4, 0xd5b1c6859a593bf47374fb414144fe, 0x000b9a], - ), - F::from_limbs( - [0x5b9ca898999be0e41960cc8f7cf554, 0x10c103e349beeebdfa4d46a48617eb, 0x001be6], - ), - F::from_limbs( - [0x62075a6764c01e1be69f3270830aad, 0x969225ba3389447bddbac2fd51ed68, 0x005807], - ), - F::from_limbs( - [0xc9e646f0bc30f46b1ac0499b422b78, 0x36685571ebe59efaac6d4efab2f7a2, 0x00178c], - ), - F::from_limbs( - [0xf3bdbc0f422b0a94e53fb564bdd489, 0x70ead42b9162943f2b9abaa7250db0, 0x005c61], - ), - F::from_limbs( - [0x468edeb6787ad5963a9c566e8bd6b5, 0x92e90312698626747ffd80262ac35f, 0x003dfd], - ), - F::from_limbs( - [0x7715244985e12969c563a89174294c, 0x146a268b13c20cc5580a897bad41f4, 0x0035f0], - ), - F::from_limbs( - [0xa1f0d04b158d7aa271966e405dcffd, 0xeac8ef44b61d5e3ddfac65da256f88, 0x00378f], - ), - F::from_limbs( - [0x1bb332b4e8ce845d8e6990bfa23004, 0xbc8a3a58c72ad4fbf85ba3c7b295cb, 0x003c5d], - ), - F::from_limbs( - [0x719dedc145d3ee4580dba9fc46a574, 0x8c3a3826d76773a54de6e95a9de480, 0x00102b], - ), - F::from_limbs( - [0x4c06153eb88810ba7f245503b95a8d, 0x1b18f176a5e0bf948a2120473a20d3, 0x0063c2], - ), - F::from_limbs( - [0x6d85a7faf7c62885336974811c697a, 0xbda65519ec38a6266415c4d6ced228, 0x003b35], - ), - F::from_limbs( - [0x501e5b050695d67acc968a7ee39687, 0xe9acd483910f8d1373f244cb09332b, 0x0038b7], - ), - F::from_limbs( - [0x510ebfb4543a3efb350dbef02a116e, 0xa56e80f82b2df675522e37ad4eca1c, 0x001907], - ), - F::from_limbs( - [0x6c95434baa21c004caf2400fd5ee93, 0x01e4a8a5521a3cc485d9d1f4893b37, 0x005ae6], - ), - F::from_limbs( - [0x1102eb66f6fce55e501a6aa6138595, 0x8e203415456536060cc57d5ad557ea, 0x006d3d], - ), - F::from_limbs( - [0xaca11799075f19a1afe59459ec7a6c, 0x1932f58837e2fd33cb428c4702ad69, 0x0006b0], - ), - F::from_limbs( - [0x7dea6029017fdc9dac7b409d585d19, 0xc0e6aaf7c2d906dbeaab1ad525575d, 0x00634f], - ), - F::from_limbs( - [0x3fb9a2d6fcdc22625384be62a7a2e8, 0xe66c7ea5ba6f2c5ded5ceeccb2adf6, 0x00109d], - ), - F::from_limbs( - [0x3764a3ff5f912e67cf9ca3e9f5b1b1, 0xbee4fcf836297cc088f970ebac3ad3, 0x005f20], - ), - F::from_limbs( - [0x863f5f009ecad09830635b160a4e50, 0xe86e2ca5471eb6794f0e98b62bca80, 0x0014cc], - ), - F::from_limbs( - [0x738f0e49608f7fec3894fdbbc5e597, 0x6831b2c665dce522dc0df640392d0a, 0x002e91], - ), - F::from_limbs( - [0x4a14f4b69dcc7f13c76b01443a1a6a, 0x3f2176d7176b4e16fbfa13619ed849, 0x00455c], - ), - F::from_limbs( - [0xb1cebef9a7dbaf187a081bc020c9e9, 0x49dce1168ed72eb22d78a01a149188, 0x0048c6], - ), - F::from_limbs( - [0x0bd5440656804fe785f7e33fdf3618, 0x5d764886ee710487aa8f6987c373cb, 0x002b27], - ), - F::from_limbs( - [0x786c05f26d2d14072fff623d593acc, 0x4567920d7fbdd5ad1e34af8ba8297e, 0x004b0f], - ), - F::from_limbs( - [0x4537fd0d912eeaf8d0009cc2a6c535, 0x61eb978ffd8a5d8cb9d35a162fdbd5, 0x0028de], - ), - F::from_limbs( - [0xa08916e4882ed38e69d125b2613b98, 0x2412402056b9c587252e3f738f0291, 0x00154d], - ), - F::from_limbs( - [0x1d1aec1b762d2b71962ed94d9ec469, 0x8340e97d268e6db2b2d9ca2e4902c2, 0x005ea0], - ), - F::from_limbs( - [0xa44a292b2e5b2982758592725b5677, 0x3df3d2c48682ef7088ae62b6a01241, 0x004c5f], - ), - F::from_limbs( - [0x1959d9d4d000d57d8a7a6c8da4a98a, 0x695f56d8f6c543c94f59a6eb37f312, 0x00278e], - ), - F::from_limbs( - [0x3dc049317117871848f2442fea2cc8, 0x6e34562bbc52e204d5dce884424849, 0x002cb0], - ), - F::from_limbs( - [0x7fe3b9ce8d4477e7b70dbad015d339, 0x391ed371c0f55135022b211d95bd0a, 0x00473d], - ), - F::from_limbs( - [0xd2201ed10a653f0612b0fb6cc1107c, 0xcba74f737371896fb6a2fbba8ee922, 0x006c1b], - ), - F::from_limbs( - [0xeb83e42ef3f6bff9ed4f03933eef85, 0xdbabda2a09d6a9ca21650de7491c30, 0x0007d1], - ), - F::from_limbs( - [0xdf8a6e25303f2fd0c13b83274f45b0, 0xbb2eb5bc528c11781b3e716a0f505e, 0x002bdd], - ), - F::from_limbs( - [0xde1994dace1ccf2f3ec47bd8b0ba51, 0xec2473e12abc21c1bcc99837c8b4f4, 0x00480f], - ), - F::from_limbs( - [0xd22b0908293b435d970e0b0666e0d8, 0x0683301968fdb44d3b688f8492460a, 0x005b03], - ), - F::from_limbs( - [0xeb78f9f7d520bba268f1f3f9991f29, 0xa0cff984144a7eec9c9f7a1d45bf48, 0x0018ea], - ), - F::from_limbs( - [0xc5922e39ae0bf92ae6e2c121bfc3c3, 0x9e36de006c054af1a2d79a24d27ae1, 0x007000], - ), - F::from_limbs( - [0xf811d4c6505005d5191d3dde403c3e, 0x091c4b9d1142e84835306f7d058a71, 0x0003ed], - ), - F::from_limbs( - [0xe63a729649cca628f1221a8298a060, 0xe2fcb84cd789855a08d1b96d6c46b4, 0x001272], - ), - F::from_limbs( - [0xd7699069b48f58d70edde47d675fa1, 0xc4567150a5beaddfcf3650346bbe9e, 0x00617a], - ), - F::from_limbs( - [0x5fe456e0de774541fed1c1f077470a, 0xef9cfd0d5b9c3c011284ce2c0a5ae6, 0x0058ea], - ), - F::from_limbs( - [0x5dbfac1f1fe4b9be012e3d0f88b8f7, 0xb7b62c9021abf738c5833b75cdaa6d, 0x001b02], - ), - F::from_limbs( - [0x4e7bab3c93dde164936d794ecac754, 0x8efcbc9ffba397e292677efe6e684b, 0x00192d], - ), - F::from_limbs( - [0x6f2857c36a7e1d9b6c9285b13538ad, 0x18566cfd81a49b5745a08aa3699d08, 0x005ac0], - ), - F::from_limbs( - [0xf39aabdcbb7d0745a8d91e955983d1, 0xed933c287503e05891c9ff9c3987d4, 0x00075d], - ), - F::from_limbs( - [0xca09572342def7ba5726e06aa67c30, 0xb9bfed75084452e1463e0a059e7d7e, 0x006c8f], - ), - F::from_limbs( - [0x04d8e25880e9cee1d977e545af710b, 0x5fb6453833c4c973f8fca82606c27d, 0x00527d], - ), - F::from_limbs( - [0xb8cb20a77d72301e268819ba508ef6, 0x479ce465498369c5df0b617bd142d6, 0x002170], - ), - F::from_limbs( - [0x9741e455322d312856121a533306a0, 0xd41c2b82dcc6b2dd9a95731e9ccfab, 0x005d63], - ), - F::from_limbs( - [0x26621eaacc2ecdd7a9ede4acccf961, 0xd336fe1aa081805c3d7296833b35a8, 0x001689], - ), - F::from_limbs( - [0x9d89aade182224f825d2b60a32f87a, 0x4aec85b8f956e027a83558a1fa00b9, 0x001df4], - ), - F::from_limbs( - [0x201a5821e639da07da2d48f5cd0787, 0x5c66a3e483f153122fd2b0ffde049a, 0x0055f9], - ), - F::from_limbs( - [0x2d7dae9287cd043df47cf236da17e9, 0xf534d4599079c579b994cbef0c2ce9, 0x001306], - ), - F::from_limbs( - [0x9026546d768efac20b830cc925e818, 0xb21e5543ecce6dc01e733db2cbd86a, 0x0060e6], - ), - F::from_limbs( - [0xcbb1bd356f80cdcf2c53214fca9316, 0xe397c114f8f36fa873d6002f921fda, 0x003495], - ), - F::from_limbs( - [0xf1f245ca8edb3130d3acddb0356ceb, 0xc3bb68888454c3916432097245e578, 0x003f57], - ), - F::from_limbs( - [0x62629752f7b4ac743e6cd3f2d8b5e4, 0xb727404262a9c24956b7927d30eacb, 0x001874], - ), - F::from_limbs( - [0x5b416bad06a7528bc1932b0d274a1d, 0xf02be95b1a9e70f081507724a71a88, 0x005b78], - ), - F::from_limbs( - [0x0cfc2a8e76963e1cfb5b8201d3c611, 0xdbab8b1811260a0955d20478e94671, 0x0038a2], - ), - F::from_limbs( - [0xb0a7d87187c5c0e304a47cfe2c39f0, 0xcba79e856c22293082360528eebee2, 0x003b4a], - ), - F::from_limbs( - [0x501d116ae74916c40d56452b59c640, 0x823696c820865acd8b4a64b679a2e3, 0x0032e8], - ), - F::from_limbs( - [0x6d86f1951712e83bf2a9b9d4a639c1, 0x251c92d55cc1d86c4cbda4eb5e6270, 0x004105], - ), - F::from_limbs( - [0x9d714edf2c5d73e9fd3487793e0a1e, 0x777daecfbc8bf776f0b322161a54eb, 0x000c02], - ), - F::from_limbs( - [0x2032b420d1fe8b1602cb7786c1f5e3, 0x2fd57acdc0bc3bc2e754e78bbdb068, 0x0067eb], - ), - F::from_limbs( - [0xa019a046396b882f67888351b3aed0, 0x4490a807026fab8427037d4aaef513, 0x0000df], - ), - F::from_limbs( - [0x1d8a62b9c4f076d098777bae4c5131, 0x62c281967ad887b5b1048c57291040, 0x00730e], - ), - F::from_limbs( - [0xb7da58c5251abce7c952e4bd7af7d4, 0x42944aa32bee278a8c2e3d1fd8e115, 0x005e85], - ), - F::from_limbs( - [0x05c9aa3ad941421836ad1a4285082d, 0x64bedefa515a0baf4bd9cc81ff243e, 0x001568], - ), - F::from_limbs( - [0xb169206b7f3154077d390dd7d05b42, 0x0a68359a3f51e5084aaf8797a96f5e, 0x004197], - ), - F::from_limbs( - [0x0c3ae2947f2aaaf882c6f1282fa4bf, 0x9ceaf4033df64e318d58820a2e95f5, 0x003256], - ), - F::from_limbs( - [0x3c05a40dd7360af2be473f9f510696, 0x85d44e308ee97c96515b1b38427a7c, 0x004f02], - ), - F::from_limbs( - [0x819e5ef22725f40d41b8bf60aef96b, 0x217edb6cee5eb6a386acee69958ad7, 0x0024eb], - ), - F::from_limbs( - [0xc01d3617a563363c520c2b1a297a42, 0x1b34b95dfdc7a5455416cfcec9c93f, 0x0057d1], - ), - F::from_limbs( - [0xfd86cce858f8c8c3adf3d3e5d685bf, 0x8c1e703f7f808df483f139d30e3c13, 0x001c1c], - ), - F::from_limbs( - [0xd04289be4d5845428c9fe880b696f2, 0xefc99d37fe721eb3867a7d42417bfd, 0x003337], - ), - F::from_limbs( - [0xed617941b103b9bd7360167f49690f, 0xb7898c657ed61486518d8c5f968955, 0x0040b5], - ), - F::from_limbs( - [0x471747bfef212bcdcd38d6f117f52f, 0x873a1f951adfb6548e4a26c46cf637, 0x00260e], - ), - F::from_limbs( - [0x768cbb400f3ad33232c7280ee80ad2, 0x20190a0862687ce549bde2dd6b0f1c, 0x004ddf], - ), - F::from_limbs( - [0x1bd60176f653694582bcb64c16195c, 0xf7a2a21cae9a8382c4cf78190afc04, 0x0045c6], - ), - F::from_limbs( - [0xa1ce0189080895ba7d4348b3e9e6a5, 0xafb08780ceadafb713389188cd094f, 0x002e26], - ), - F::from_limbs( - [0x12d6dbc4da70eb9281ca5182004249, 0x6ee71fba800af7b5bc01b47b0c0cc1, 0x00524f], - ), - F::from_limbs( - [0xaacd273b23eb136d7e35ad7dffbdb8, 0x386c09e2fd3d3b841c065526cbf892, 0x00219e], - ), - F::from_limbs( - [0xdd88120258390fcf4a24368337be6a, 0xbc58cb5eb5c44cc9ff4bf19abce5bb, 0x0030e1], - ), - F::from_limbs( - [0xe01bf0fda622ef30b5dbc87cc84197, 0xeafa5e3ec783e66fd8bc18071b1f97, 0x00430b], - ), - F::from_limbs( - [0xa959dcb76fe5390c0871ffc19b100f, 0xce8ba2c48aa4894506e8611524fe2a, 0x002f73], - ), - F::from_limbs( - [0x144a26488e76c5f3f78dff3e64eff2, 0xd8c786d8f2a3a9f4d11fa88cb30729, 0x004479], - ), - F::from_limbs( - [0x73882ea6ce7aa9e15b2a94a295c9ad, 0x7fb3c3230d556d15603c30cffb92d1, 0x003d74], - ), - F::from_limbs( - [0x4a1bd4592fe1551ea4d56a5d6a3654, 0x279f667a6ff2c62477cbd8d1dc7282, 0x003679], - ), - F::from_limbs( - [0xf7ba1663b31d0376fd4001b4f824c8, 0x46853ef9fa574485c4aa168e870ab3, 0x006fbe], - ), - F::from_limbs( - [0xc5e9ec9c4b3efb8902bffd4b07db39, 0x60cdeaa382f0eeb4135df31350fa9f, 0x00042f], - ), - F::from_limbs( - [0x0119a77a9a472b1f0256b78db57e18, 0xf68db38f4a7b27a0943532cbc2db68, 0x00474c], - ), - F::from_limbs( - [0xbc8a5b856414d3e0fda947724a81e9, 0xb0c5760e32cd0b9943d2d6d61529eb, 0x002ca0], - ), - F::from_limbs( - [0x1592642caef3e5a869ecf2cc0d850a, 0xd792bef1368d6e952e48357708336a, 0x004164], - ), - F::from_limbs( - [0xa8119ed34f68195796130c33f27af7, 0xcfc06aac46bac4a4a9bfd42acfd1e9, 0x003288], - ), - F::from_limbs( - [0xea563e74aa3185e99ab4b0ce6c0c7c, 0xcb7ba7a1102bab1c2cbe2844a0ddd5, 0x00098b], - ), - F::from_limbs( - [0xd34dc48b542a7916654b4e3193f385, 0xdbd781fc6d1c881dab49e15d37277d, 0x006a61], - ), - F::from_limbs( - [0x437f9626fc085e3c28d666a5c2d854, 0xb5c3debf77a18f4de02c0f776af3ea, 0x00325d], - ), - F::from_limbs( - [0x7a246cd90253a0c3d729985a3d27ad, 0xf18f4ade05a6a3ebf7dbfa2a6d1169, 0x00418f], - ), - F::from_limbs( - [0x042bde9573c4ad1ff95ac74f4dd55e, 0xf518291d3e252d00a5be2412a997b6, 0x0050c8], - ), - F::from_limbs( - [0xb978246a8a9751e006a537b0b22aa3, 0xb23b00803f2306393249e58f2e6d9d, 0x002324], - ), - F::from_limbs( - [0xd42ce812d4161a128568bfed36d2d6, 0x61d6a24bc012a01a09222bf9650bd9, 0x006524], - ), - F::from_limbs( - [0xe9771aed2a45e4ed7a973f12c92d2b, 0x457c8751bd35931fcee5dda872f979, 0x000ec9], - ), - F::from_limbs( - [0x4eea3f60d8ba48352b5233bf7ba901, 0x9a5b87438c07220bc79e6b495d459f, 0x003304], - ), - F::from_limbs( - [0x6eb9c39f25a1b6cad4adcb40845700, 0x0cf7a259f141112e10699e587abfb4, 0x0040e9], - ), - F::from_limbs( - [0x67db8f3cd65da7c8f54ccb3906df6e, 0x385ab3740f1d0a08b8806bf140116a, 0x003ff0], - ), - F::from_limbs( - [0x55c873c327fe57370ab333c6f92093, 0x6ef876296e2b29311f879db097f3e9, 0x0033fd], - ), - F::from_limbs( - [0x10f133fcb8fede5de6afb9568b79d7, 0x555d2abe285e02fca0c6b9bfafb5fd, 0x00149f], - ), - F::from_limbs( - [0xacb2cf03455d20a2195045a974862a, 0x51f5fedf54ea303d37414fe2284f56, 0x005f4e], - ), - F::from_limbs( - [0xb769a52be75f80a78adc4c393f40fb, 0x8cf482eda4eaeba7fb8a7fa58fc5d9, 0x0007f3], - ), - F::from_limbs( - [0x063a5dd416fc7e587523b2c6c0bf06, 0x1a5ea6afd85d4791dc7d89fc483f7a, 0x006bfa], - ), - F::from_limbs( - [0x1d3d048e2bae51fb8bf031847f0368, 0x7d0f0c1d7fa06092d03a32cfcbe1a7, 0x004b4f], - ), - F::from_limbs( - [0xa066fe71d2adad04740fcd7b80fc99, 0x2a441d7ffda7d2a707cdd6d20c23ac, 0x00289e], - ), - F::from_limbs( - [0xcfc07ba26779319d6862e69abec349, 0x7fd1ffada9fb7ce80043e235fce4b6, 0x0027a5], - ), - F::from_limbs( - [0xede3875d96e2cd62979d1865413cb8, 0x278129efd34cb651d7c4276bdb209c, 0x004c48], - ), - F::from_limbs( - [0x2b9280b02b0f38389490a19470e8d1, 0x662f4b3bf7dd4a6b4b7925d178b97c, 0x00006c], - ), - F::from_limbs( - [0x9211824fd34cc6c76b6f5d6b8f1730, 0x4123de61856ae8ce8c8ee3d05f4bd7, 0x007381], - ), - F::from_limbs( - [0x626ce47a1970433653bbc394e0194f, 0x0ed3d812e1900c2d1e5df0ba7ba08d, 0x001b07], - ), - F::from_limbs( - [0x5b371e85e4ebbbc9ac443b6b1fe6b2, 0x987f518a9bb8270cb9aa18e75c64c6, 0x0058e6], - ), - F::from_limbs( - [0xbf59d5e64bbfa343aac380bd084cf0, 0xe70b5e0ee5d8a20cb37113cdf8a9af, 0x00534e], - ), - F::from_limbs( - [0xfe4a2d19b29c5bbc553c7e42f7b311, 0xc047cb8e976f912d2496f5d3df5ba3, 0x00209e], - ), - F::from_limbs( - [0x597b23df05312f8c2af61a8141cd2a, 0x0fd36013a65e8edf76cab18f8a37c7, 0x0008f6], - ), - F::from_limbs( - [0x6428df20f92acf73d509e47ebe32d7, 0x977fc989d6e9a45a613d58124dcd8c, 0x006af7], - ), - F::from_limbs( - [0x18d8297cc221bdb5e7ec7507841320, 0x300ff31bf898416efa2f23e851d93e, 0x00315f], - ), - F::from_limbs( - [0xa4cbd9833c3a414a181389f87bece1, 0x7743368184aff1caddd8e5b9862c15, 0x00428e], - ), - F::from_limbs( - [0xb9cfa13c9e7075a60c85450b7b2f47, 0x6723c0c73b43c6b58ce353a65ae24f, 0x000185], - ), - F::from_limbs( - [0x03d461c35feb8959f37ab9f484d0ba, 0x402f68d642046c844b24b5fb7d2304, 0x007268], - ), - F::from_limbs( - [0x4aa8865b38d3fe56375852f503eab6, 0x0a59d3076a69a11bab9cdb76c9aa34, 0x002e1d], - ), - F::from_limbs( - [0x72fb7ca4c58800a9c8a7ac0afc154b, 0x9cf9569612de921e2c6b2e2b0e5b1f, 0x0045d0], - ), - F::from_limbs( - [0x2f158931e7234f34277686b037a511, 0x36a53627e337d86327fa50db777aaf, 0x003bff], - ), - F::from_limbs( - [0x8e8e79ce1738afcbd889784fc85af0, 0x70adf3759a105ad6b00db8c6608aa4, 0x0037ee], - ), - F::from_limbs( - [0x5b11f7e8d7950307379aa242bef13a, 0x854d6e4b49d1a48d5cc9eb4b326da6, 0x003cd9], - ), - F::from_limbs( - [0x62920b1726c6fbf8c8655cbd410ec7, 0x2205bb5233768eac7b3e1e56a597ad, 0x003714], - ), - F::from_limbs( - [0x74c9b15c2f6c8157b9d269efd0d9fd, 0x43d2741d83a4ffa6a4d8853dc711ed, 0x00349a], - ), - F::from_limbs( - [0x48da51a3ceef7da8462d95102f2604, 0x6380b57ff9a33393332f846410f366, 0x003f53], - ), - F::from_limbs( - [0x922dc33e3981ed211c46be69369843, 0x792481d33f84533665b7ea0775febc, 0x004a34], - ), - F::from_limbs( - [0x2b763fc1c4da11dee3b94096c967be, 0x2e2ea7ca3dc3e00372501f9a620697, 0x0029b9], - ), - F::from_limbs( - [0x6fa92e866fdb2fb08e0577296c2a24, 0xadb60d8a7bf7640ac08abd3c0874ce, 0x00699a], - ), - F::from_limbs( - [0x4dfad4798e80cf4f71fa87d693d5dd, 0xf99d1c130150cf2f177d4c65cf9085, 0x000a52], - ), - F::from_limbs( - [0x10bc93086722d6faa75e2409644896, 0x0d36010c2912e9b9971968377e8f23, 0x0045cc], - ), - F::from_limbs( - [0xace76ff79739280558a1daf69bb76b, 0x9a1d28915435498040eea16a597630, 0x002e21], - ), - F::from_limbs( - [0x12974aa30cb0dbc3ad07b8488f216a, 0x599a73b32821076027ac452fa314e7, 0x0027f8], - ), - F::from_limbs( - [0xab0cb85cf1ab233c52f846b770de97, 0x4db8b5ea55272bd9b05bc47234f06c, 0x004bf5], - ), - F::from_limbs( - [0x07c23f803514299fe2121c20b86988, 0xb000d89ab17c3ca13436f849d0c5b7, 0x0052a3], - ), - F::from_limbs( - [0xb5e1c37fc947d5601dede2df479679, 0xf7525102cbcbf698a3d11158073f9c, 0x002149], - ), - F::from_limbs( - [0x54efb0bc8d997ff0498fbd3aed65cf, 0xb926e96be027edd2c44927ecd41b3a, 0x0021f9], - ), - F::from_limbs( - [0x68b4524370c27f0fb67041c5129a32, 0xee2c40319d20456713bee1b503ea19, 0x0051f3], - ), - F::from_limbs( - [0xc33eff3b2e005d15c92e1aac022f7a, 0x03f06c32134406419d72de2d04da5c, 0x0038dd], - ), - F::from_limbs( - [0xfa6503c4d05ba1ea36d1e453fdd087, 0xa362bd6b6a042cf83a952b74d32af6, 0x003b10], - ), - F::from_limbs( - [0x35e832d903d52910fc77c70f6789eb, 0x025cc14be0ad31420245361de9b12f, 0x00575f], - ), - F::from_limbs( - [0x87bbd026fa86d5ef038837f0987616, 0xa4f668519c9b01f7d5c2d383ee5424, 0x001c8e], - ), - F::from_limbs( - [0xb7ab8507f3920122be1a8aba702c85, 0x25e3c9a4ab06a671d938712e096896, 0x0058b6], - ), - F::from_limbs( - [0x05f87df80ac9fddd41e574458fd37c, 0x816f5ff8d2418cc7fecf9873ce9cbd, 0x001b37], - ), - F::from_limbs( - [0x69be7aef4c8d1ef94c14f22139573f, 0x6f3cc7d42821defa95e48ec5f0df7f, 0x004e12], - ), - F::from_limbs( - [0x53e58810b1cee006b3eb0cdec6a8c2, 0x381661c95526543f42237adbe725d4, 0x0025db], - ), - F::from_limbs( - [0x743ad6e2d471f5c5266f7287443e47, 0x5f70d71d12f4ac20bd03516e01a536, 0x002adc], - ), - F::from_limbs( - [0x49692c1d29ea093ad9908c78bbc1ba, 0x47e252806a5387191b04b833d6601d, 0x004911], - ), - F::from_limbs( - [0x2c25c55d44a0cda2c7312172f024d5, 0x856c0c995405fcbdc0f7c531d5529a, 0x004d16], - ), - F::from_limbs( - [0x917e3da2b9bb315d38cedd8d0fdb2c, 0x21e71d042942367c1710447002b2b9, 0x0026d7], - ), - F::from_limbs( - [0x223e998d178fb680440e833ea39b55, 0x42b69828825b5da8aa10fae01e8c0c, 0x00181c], - ), - F::from_limbs( - [0x9b656972e6cc487fbbf17bc15c64ac, 0x649c9174faecd5912df70ec1b97947, 0x005bd1], - ), - F::from_limbs( - [0x10989d7476cf2bc1bf28a8007ab548, 0xeb7d5ee5004ffc6c81de8478b8e220, 0x002099], - ), - F::from_limbs( - [0xad0b658b878cd33e40d756ff854ab9, 0xbbd5cab87cf836cd562985291f2333, 0x005353], - ), - F::from_limbs( - [0x96d79f8a3e8e0b93b28aebc303f074, 0xc9102a942d517007277851e8aec9ea, 0x0024db], - ), - F::from_limbs( - [0x26cc6375bfcdf36c4d75133cfc0f8d, 0xde42ff094ff6c332b08fb7b9293b69, 0x004f11], - ), - F::from_limbs( - [0x472415b0f60defaa8f3f7b31a9d713, 0x5bb263c0e75edaf8ea26346303cc91, 0x00406e], - ), - F::from_limbs( - [0x767fed4f084e0f5570c083ce5628ee, 0x4ba0c5dc95e95840ede1d53ed438c2, 0x00337f], - ), - F::from_limbs( - [0x22c16ba307dd3aa0d0db6053a9a3e0, 0xe0b7bf8e8c0fd7bcbd2b9d03b8b2db, 0x000042], - ), - F::from_limbs( - [0x9ae2975cf67ec45f2f249eac565c21, 0xc69b6a0ef1385b7d1adc6c9e1f5278, 0x0073aa], - ), - F::from_limbs( - [0xd8f9f506885a4f1784febbb03b452f, 0xd0cbdf62af6ec9809d68741ff12a30, 0x000d36], - ), - F::from_limbs( - [0xe4aa0df97601afe87b01434fc4bad2, 0xd6874a3acdd969b93a9f9581e6db22, 0x0066b6], - ), - F::from_limbs( - [0x657d647e701c3bc1294eb7f2f2f66d, 0x076752b9400f5ae617b0fcc5dbf9ca, 0x002887], - ), - F::from_limbs( - [0x58269e818e3fc33ed6b1470d0d0994, 0x9febd6e43d38d853c0570cdbfc0b89, 0x004b66], - ), - F::from_limbs( - [0xf3dc40acfe2b7256cfcec9c01c3ffe, 0xdab0be5128d795d19d03d8fd323cf7, 0x0068f0], - ), - F::from_limbs( - [0xc9c7c25300308ca93031353fe3c003, 0xcca26b4c54709d683b0430a4a5c85b, 0x000afc], - ), - F::from_limbs( - [0x39c74778c695afde09673bab61e898, 0xdf77f041dc9735c1728a223969d1ee, 0x0013c8], - ), - F::from_limbs( - [0x83dcbb8737c64f21f698c3549e1769, 0xc7db395ba0b0fd78657de7686e3365, 0x006024], - ), - F::from_limbs( - [0x16c96bf3f6890a98d0402a397d3074, 0xa203d88e626925ff7d17d595046f32, 0x0057df], - ), - F::from_limbs( - [0xa6da970c07d2f4672fbfd4c682cf8d, 0x054f510f1adf0d3a5af0340cd39621, 0x001c0e], - ), - F::from_limbs( - [0xd286c9c7b2f3fd967bc7d5bce1a804, 0xdd564bbe5d15ce91a6d6efc2c7ca96, 0x007073], - ), - F::from_limbs( - [0xeb1d39384b680169843829431e57fd, 0xc9fcdddf203264a8313119df103abc, 0x000379], - ), - F::from_limbs( - [0xe540b9c586fcea58550848d0259347, 0xba723ff8c505df9d9a8301247105a2, 0x00046c], - ), - F::from_limbs( - [0xd863493a775f14a7aaf7b62fda6cba, 0xece0e9a4b842539c3d85087d66ffb0, 0x006f80], - ), - F::from_limbs( - [0x97ac9b42b5bc323c3e9892b876b461, 0xd6151fc5ce2e0c824958cba91b6f97, 0x001128], - ), - F::from_limbs( - [0x25f767bd489fccc3c1676c47894ba0, 0xd13e09d7af1a26b78eaf3df8bc95bc, 0x0062c4], - ), - F::from_limbs( - [0xe306b538773eb4b850d2a3eabf958f, 0x7355217fce074c0bb60b247d0d6499, 0x0033dc], - ), - F::from_limbs( - [0xda9d4dc7871d4a47af2d5b15406a72, 0x33fe081daf40e72e21fce524caa0b9, 0x004011], - ), - F::from_limbs( - [0xd5081bd50bfe8c49ab063c9866233a, 0x8d40c2ef982f0174fd293ff31fa487, 0x00546f], - ), - F::from_limbs( - [0xe89be72af25d72b654f9c26799dcc7, 0x1a1266ade51931c4dadec9aeb860cb, 0x001f7e], - ), - F::from_limbs( - [0xd4dd6fb2dd1c1cec4a327b5d6681f3, 0x978bf9dde4f2a890bb7866fb5680a5, 0x00421a], - ), - F::from_limbs( - [0xe8c6934d213fe213b5cd83a2997e0e, 0x0fc72fbf98558aa91c8fa2a68184ad, 0x0031d3], - ), - F::from_limbs( - [0x46e6e574bb0264650613937dec903a, 0xc4fdd5553c2b935c9c3ce1c6e9f013, 0x0004e9], - ), - F::from_limbs( - [0x76bd1d8b43599a9af9ec6b82136fc7, 0xe2555448411c9fdd3bcb27daee1540, 0x006f03], - ), - F::from_limbs( - [0x967c6423a55ee21c6f641f5ca11dfc, 0x2962daeacf09aac3e29a57a5f0d8ef, 0x0000f1], - ), - F::from_limbs( - [0x27279edc58fd1ce3909bdfa35ee205, 0x7df04eb2ae3e8875f56db1fbe72c64, 0x0072fc], - ), - F::from_limbs( - [0xa48d852fc35b7c3556faf3eba03702, 0x7d9f742f652cb5537e7ab5699d8e10, 0x000a28], - ), - F::from_limbs( - [0x19167dd03b0082caa9050b145fc8ff, 0x29b3b56e181b7de6598d54383a7743, 0x0069c5], - ), - F::from_limbs( - [0x4ece6e79d374f7694d7d44aa42aaf2, 0x25830d537d2afc0117e00180409d8d, 0x005c98], - ), - F::from_limbs( - [0x6ed594862ae70796b282ba55bd550f, 0x81d01c4a001d3738c02808219767c6, 0x001755], - ), - F::from_limbs( - [0xb02312ec12eeec6e8f66fbf9b79cc1, 0xb52abbca218662fa4f9250a0361b14, 0x002c94], - ), - F::from_limbs( - [0x0d80f013eb6d129170990306486340, 0xf2286dd35bc1d03f8875b901a1ea3f, 0x004758], - ), - F::from_limbs( - [0x06b58844f30ad2b5006d3e54988604, 0x08e682580ff68a3ffa39d11f260543, 0x0051cb], - ), - F::from_limbs( - [0xb6ee7abb0b512c4aff92c0ab6779fd, 0x9e6ca7456d51a8f9ddce3882b20010, 0x002222], - ), - F::from_limbs( - [0x07e8ac00ccd608596a75b117ddfba0, 0x1c78170c4872ed5d290fa2d313f10c, 0x0021a0], - ), - F::from_limbs( - [0xb5bb56ff3185f6a6958a4de8220461, 0x8adb129134d545dcaef866cec41447, 0x00524d], - ), - F::from_limbs( - [0x309873a10967a45beb4be6840f3104, 0xdee51318c6e47085da8a68d064ea95, 0x005b93], - ), - F::from_limbs( - [0x8d0b8f5ef4f45aa414b4187bf0cefd, 0xc86e1684b663c2b3fd7da0d1731abe, 0x001859], - ), - F::from_limbs( - [0x6bccfd4eb9f5f9bac25779bd028d08, 0x4c188b40510d4553ed07dd76774c14, 0x00204e], - ), - F::from_limbs( - [0x51d705b1446605453da88542fd72f9, 0x5b3a9e5d2c3aede5eb002c2b60b93f, 0x00539f], - ), - F::from_limbs( - [0x9cde21536c74fac14aa34c68accbfa, 0xacabe5adc2561160383ee23ed3ba6d, 0x0017a9], - ), - F::from_limbs( - [0x20c5e1ac91e7043eb55cb297533407, 0xfaa743efbaf221d99fc92763044ae6, 0x005c43], - ), - F::from_limbs( - [0x0e05ddcf13a22fbd9b29beb5d8cc55, 0x7f61fc62e2a94bc3a5672aa39e4215, 0x000c58], - ), - F::from_limbs( - [0xaf9e2530eab9cf4264d6404a2733ac, 0x27f12d3a9a9ee77632a0defe39c33e, 0x006795], - ), - F::from_limbs( - [0x375b2142604d30f4d7712a9f7e571c, 0xcab5043cc4f48ad290c1186b578186, 0x005b3c], - ), - F::from_limbs( - [0x8648e1bd9e0ece0b288ed46081a8e5, 0xdc9e2560b853a8674746f1368083cd, 0x0018b0], - ), - F::from_limbs( - [0x0d311f3cdb74b04dc26f175eaf57e2, 0x9930e7bfc55513a31b5c3e627cc654, 0x00000d], - ), - F::from_limbs( - [0xb072e3c322e74eb23d90e7a150a81f, 0x0e2241ddb7f31f96bcabcb3f5b3eff, 0x0073e0], - ), - F::from_limbs( - [0x0a9c3e533dc34f63482f5e6ac7f5ee, 0x67bf56026f1264f3c71a7fc4285c1b, 0x001ef8], - ), - F::from_limbs( - [0xb307c4acc098af9cb7d0a095380a13, 0x3f93d39b0e35ce4610ed89ddafa938, 0x0054f5], - ), - F::from_limbs( - [0xf4363b42e95eb239d9acde14fb20e2, 0xa43cfc49003d2e82c238e01af647d6, 0x0034fe], - ), - F::from_limbs( - [0xc96dc7bd14fd4cc6265320eb04df1f, 0x03162d547d0b04b715cf2986e1bd7c, 0x003eef], - ), - F::from_limbs( - [0x537def6e0f30f92345e2553f15b27d, 0x399fdefa8ddc87f3c352e16c5500fb, 0x005ae6], - ), - F::from_limbs( - [0x6a261391ef2b05dcba1da9c0ea4d84, 0x6db34aa2ef6bab4614b52835830458, 0x001907], - ), - F::from_limbs( - [0x2f5049b1d0e187821f241ffda547a5, 0x8f3a988966e051b31982d33b68de07, 0x000c4e], - ), - F::from_limbs( - [0x8e53b94e2d7a777de0dbdf025ab85c, 0x181891141667e186be8536666f274c, 0x00679f], - ), - F::from_limbs( - [0x0f2fa24cca7e118a23f8184f67be53, 0x33bf9e5c6e898b6d5abad78fbbc311, 0x005a94], - ), - F::from_limbs( - [0xae7460b333dded75dc07e6b09841ae, 0x73938b410ebea7cc7d4d32121c4242, 0x001959], - ), - F::from_limbs( - [0x58b769fd60bae85dd0ba3600c21ea9, 0xcba700d5638da68d1e587fd67f193c, 0x00442a], - ), - F::from_limbs( - [0x64ec99029da116a22f45c8ff3de158, 0xdbac28c819ba8cacb9af89cb58ec17, 0x002fc2], - ), - F::from_limbs( - [0x49a4ab02e82f769ee500f647f7d43b, 0xb7446f10658c06ede0897762f302e9, 0x003cc1], - ), - F::from_limbs( - [0x73ff57fd162c88611aff08b8082bc6, 0xf00eba8d17bc2c4bf77e923ee5026a, 0x00372b], - ), - F::from_limbs( - [0x511800ae1cf2a898a5dc3fa6a50014, 0x687779a20ce0b1eeadb86ec0a240a1, 0x000f9d], - ), - F::from_limbs( - [0x6c8c0251e16956675a23bf595affed, 0x3edbaffb7067814b2a4f9ae135c4b2, 0x006450], - ), - F::from_limbs( - [0xa29e201b732f6dad4c4a46f5409741, 0xb39452ab3a4709599704eba189b706, 0x0017f3], - ), - F::from_limbs( - [0x1b05e2e48b2c9152b3b5b80abf68c0, 0xf3bed6f2430129e041031e004e4e4d, 0x005bf9], - ), - F::from_limbs( - [0x8c90ec812879e1589db18082632470, 0x0d64d5746e14f108e29cdc4cf25ab0, 0x000bd7], - ), - F::from_limbs( - [0x3113167ed5e21da7624e7e7d9cdb91, 0x99ee54290f334230f56b2d54e5aaa3, 0x006816], - ), - F::from_limbs( - [0xe820d586118b4a5213a84b62a68904, 0x52bba176b0cf4add1ac0d9aa0cc9d8, 0x0046e3], - ), - F::from_limbs( - [0xd5832d79ecd0b4adec57b39d5976fd, 0x54978826cc78e85cbd472ff7cb3b7a, 0x002d0a], - ), - F::from_limbs( - [0x285991341c908ed897ab600af26a9f, 0x4729896b3e93c2aeac62b2b1175d52, 0x006743], - ), - F::from_limbs( - [0x954a71cbe1cb702768549ef50d9562, 0x6029a0323eb4708b2ba556f0c0a801, 0x000caa], - ), - F::from_limbs( - [0xee64f977b0bc8213b864a44525e8e4, 0x576fae62c2747e9d59a9016efb44e8, 0x001b4d], - ), - F::from_limbs( - [0xcf3f09884d9f7cec479b5abada171d, 0x4fe37b3abad3b49c7e5f0832dcc06a, 0x0058a0], - ), - F::from_limbs( - [0xbb530e72b7bfc3855fca21c045e849, 0x249e0bfc4d51cc64d8b824c354c377, 0x0023d3], - ), - F::from_limbs( - [0x0250f48d469c3b7aa035dd3fba17b8, 0x82b51da12ff666d4ff4fe4de8341dc, 0x00501a], - ), - F::from_limbs( - [0x82849fa29e943275fe4524a3df9914, 0x4787c92fb6003ec786b72669f55ce5, 0x00043f], - ), - F::from_limbs( - [0x3b1f635d5fc7cc8a01bada5c2066ed, 0x5fcb606dc747f4725150e337e2a86e, 0x006fae], - ), - F::from_limbs( - [0x6b6f86bf14aefcc2338ad83cdfa657, 0xb53f58ce81940a859ee7dfedce98f1, 0x005c9d], - ), - F::from_limbs( - [0x52347c40e9ad023dcc7526c32059aa, 0xf213d0cefbb428b4392029b4096c62, 0x00174f], - ), - F::from_limbs( - [0xdcf47128786d2189831ce42c6138b3, 0x498eb85e702360db58e449ef2a892a, 0x0003f6], - ), - F::from_limbs( - [0xe0af91d785eedd767ce31ad39ec74e, 0x5dc4713f0d24d25e7f23bfb2ad7c28, 0x006ff7], - ), - F::from_limbs( - [0xf89acd6211e66705b59d4d67e78267, 0x51a561f4691450c8d1e120be501af7, 0x003dde], - ), - F::from_limbs( - [0xc509359dec7597fa4a62b198187d9a, 0x55adc7a91433e2710626e8e387ea5b, 0x00360f], - ), - F::from_limbs( - [0x5c622bba78e96e62ad6e618cd63fc9, 0xe604e2122797b4fc5b308c0f64c4b1, 0x006f1b], - ), - F::from_limbs( - [0x6141d7458572909d52919d7329c038, 0xc14e478b55b07e3d7cd77d927340a2, 0x0004d1], - ), - F::from_limbs( - [0x7e9861925f3c85728b638faa490c47, 0x8f85d4bb9c9568fd174cc19863a83f, 0x001590], - ), - F::from_limbs( - [0x3f0ba16d9f1f798d749c6f55b6f3ba, 0x17cd54e1e0b2ca3cc0bb4809745d14, 0x005e5d], - ), - F::from_limbs( - [0x5cc1b32b2a1950ab93f25b2906d21a, 0x69a09d5aa6587cf3f6638899a0097e, 0x00671e], - ), - F::from_limbs( - [0x60e24fd4d442ae546c0da3d6f92de7, 0x3db28c42d6efb645e1a4810837fbd5, 0x000ccf], - ), - F::from_limbs( - [0xc8f5dd633013028cfda586295ea84b, 0x7cce960c7027f14b86bb7c12055e83, 0x003da0], - ), - F::from_limbs( - [0xf4ae259cce48fc73025a78d6a157b6, 0x2a8493910d2041ee514c8d8fd2a6cf, 0x00364d], - ), - F::from_limbs( - [0x71d0d9c1e612bd99b980c752953536, 0x26c472d9a268f3d2329d2bd130b8e7, 0x005126], - ), - F::from_limbs( - [0x4bd3293e18494166467f37ad6acacb, 0x808eb6c3dadf3f67a56addd0a74c6c, 0x0022c7], - ), - F::from_limbs( - [0x735dfec23461fb447108a871678206, 0x593fb2d1e4796f84312c4cd1ae75c2, 0x000d82], - ), - F::from_limbs( - [0x4a46043dc9fa03bb8ef7568e987dfb, 0x4e1376cb98cec3b5a6dbbcd0298f91, 0x00666b], - ), - F::from_limbs( - [0x29130b18a08ed66bb7b793ab94d67d, 0xd9b87eff068a96987520a4a84e5315, 0x006d86], - ), - F::from_limbs( - [0x9490f7e75dcd289448486b546b2984, 0xcd9aaa9e76bd9ca162e764f989b23e, 0x000666], - ), - F::from_limbs( - [0xefd6b0570bf109d58a5af42d010ff9, 0xb09858f43cef3ed6d55a6350721d79, 0x002f27], - ), - F::from_limbs( - [0xcdcd52a8f26af52a75a50ad2fef008, 0xf6bad0a94058f46302ada65165e7d9, 0x0044c5], - ), - F::from_limbs( - [0x977360b30175c52dbb2cf227158434, 0x2fe0ca12c0b44b70ca6708f3104867, 0x002318], - ), - F::from_limbs( - [0x2630a24cfce639d244d30cd8ea7bcd, 0x77725f8abc93e7c90da100aec7bcec, 0x0050d5], - ), - F::from_limbs( - [0x835c9ca817ed357b3354fe4df74d21, 0xa535477e1384fba967880c356fda5d, 0x006d52], - ), - F::from_limbs( - [0x3a476657e66ec984ccab00b208b2e0, 0x021de21f69c33790707ffd6c682af6, 0x00069b], - ), - F::from_limbs( - [0x62f50c1fa01a6ebf12d1967f5228c6, 0xcccb86887bc1090ea1eafe6cd3d6f0, 0x0021c7], - ), - F::from_limbs( - [0x5aaef6e05e419040ed2e6880add73b, 0xda87a31501872a2b361d0b35042e63, 0x005225], - ), - F::from_limbs( - [0x783e184f0f10da4ad463040bfa6b96, 0x89d9a062ba8ff6e0797726f231b176, 0x004b12], - ), - F::from_limbs( - [0x4565eab0ef4b24b52b9cfaf405946b, 0x1d79893ac2b83c595e90e2afa653dd, 0x0028db], - ), - F::from_limbs( - [0x7fcbf22df21291ca782131084255da, 0xb49750ddb83253aa8f5c166504001b, 0x002164], - ), - F::from_limbs( - [0x3dd810d20c496d3587decdf7bdaa27, 0xf2bbd8bfc515df8f48abf33cd40538, 0x005288], - ), - F::from_limbs( - [0xeea8827f4e9ec602b926b27753b127, 0xfbbd7f20c3ced966ea577b468e20b9, 0x004f0e], - ), - F::from_limbs( - [0xcefb8080afbd38fd46d94c88ac4eda, 0xab95aa7cb97959d2edb08e5b49e499, 0x0024de], - ), - F::from_limbs( - [0xa933db67c24c70716d094756b66d63, 0x1aa615b346f8ebad67ddc10c732ae8, 0x0004d2], - ), - F::from_limbs( - [0x147027983c0f8e8e92f6b7a949929e, 0x8cad13ea364f478c702a489564da6b, 0x006f1b], - ), - F::from_limbs( - [0xf79311d4603ebe660cb35a9fa42972, 0xdb65a3240463f4216b3d286b5f60ee, 0x000b7b], - ), - F::from_limbs( - [0xc610f12b9e1d4099f34ca4605bd68f, 0xcbed867978e43f186ccae13678a464, 0x006871], - ), - F::from_limbs( - [0xafc701df2ef92f02a3555fc5ee25f7, 0x471ca69edd738a2bb3e93d180d6310, 0x004751], - ), - F::from_limbs( - [0x0ddd0120cf62cffd5caa9f3a11da0a, 0x603682fe9fd4a90e241ecc89caa243, 0x002c9c], - ), - F::from_limbs( - [0x83b10a7188a75be4d08b3a9bd95dc2, 0xc0e837c5ea1d5fd7929a9439bb000a, 0x0012c1], - ), - F::from_limbs( - [0x39f2f88e75b4a31b2f74c46426a23f, 0xe66af1d7932ad362456d75681d0549, 0x00612b], - ), - F::from_limbs( - [0x40d6987940175aa503ad6c44bc5ff8, 0xb1e6bfb9702607fd3c97042f2373a4, 0x005a03], - ), - F::from_limbs( - [0x7ccd6a86be44a45afc5292bb43a009, 0xf56c69e40d222b3c9b710572b491af, 0x0019e9], - ), - F::from_limbs( - [0x9c55f6ffe871ea5ddbbc4e9b6615b8, 0x0415d906203d93cbbee466fd232897, 0x00005c], - ), - F::from_limbs( - [0x214e0c0015ea14a22443b06499ea49, 0xa33d50975d0a9f6e1923a2a4b4dcbc, 0x007391], - ), - F::from_limbs( - [0xd30122c843684408d2342a11db2c67, 0xe20c7f6c968c5058ca294459777599, 0x002c14], - ), - F::from_limbs( - [0xeaa2e037baf3baf72dcbd4ee24d39a, 0xc546aa30e6bbe2e10ddec548608fb9, 0x0047d8], - ), - F::from_limbs( - [0xcf9853c5492f70dbe2b6ae6a65e380, 0x4b4b630bd746efffb256ee28750441, 0x000c94], - ), - F::from_limbs( - [0xee0baf3ab52c8e241d4950959a1c81, 0x5c07c691a601433a25b11b79630111, 0x006759], - ), - F::from_limbs( - [0xa240a2a069113c159a067743cae6c5, 0xeb7f91a0d0a7f1d0c3c19d09cf9306, 0x00585a], - ), - F::from_limbs( - [0x1b63605f954ac2ea65f987bc35193c, 0xbbd397fcaca0416914466c9808724d, 0x001b92], - ), - F::from_limbs( - [0xc301f4f32087447899594a115b42ec, 0xa53a04150fa19233a27cfafd0e6ca8, 0x002e4c], - ), - F::from_limbs( - [0xfaa20e0cddd4ba8766a6b4eea4bd15, 0x021925886da6a106358b0ea4c998aa, 0x0045a1], - ), - F::from_limbs( - [0xb12fefba555a4c968b0decdd5c8bff, 0xbdc683722a25b401681bc0a21dae2e, 0x001c50], - ), - F::from_limbs( - [0x0c741345a901b26974f21222a37402, 0xe98ca62b53227f386fec48ffba5725, 0x00579c], - ), - F::from_limbs( - [0xefb15e20ddffa892cbd498b8ae4748, 0x2ca691fde3753d113105a6f6224cab, 0x0037a8], - ), - F::from_limbs( - [0xcdf2a4df205c566d342b664751b8b9, 0x7aac979f99d2f628a70262abb5b8a7, 0x003c45], - ), - F::from_limbs( - [0xde6c81def05707ddd48b53c0632b7f, 0xb79237478ed134868d055a78d4d127, 0x006482], - ), - F::from_limbs( - [0xdf3781210e04f7222b74ab3f9cd482, 0xefc0f255ee76feb34b02af2903342b, 0x000f6a], - ), - F::from_limbs( - [0x905e68e892d76597534a53351aeb21, 0xc2b7e09e88cf54c6bcf61242906281, 0x001c1b], - ), - F::from_limbs( - [0x2d459a176b849968acb5abcae514e0, 0xe49b48fef478de731b11f75f47a2d2, 0x0057d1], - ), - F::from_limbs( - [0x3059b2dacb997091e05fa34880ee67, 0xb79d4996ad5169ae844074894dab48, 0x002374], - ), - F::from_limbs( - [0x8d4a502532c28e6e1fa05bb77f119a, 0xefb5e006cff6c98b53c795188a5a0b, 0x005078], - ), - F::from_limbs( - [0x81a6284dfcdcdb79aca024dfa3bea6, 0x4cf83a91c028b44b584b898ea2487e, 0x0032af], - ), - F::from_limbs( - [0x3bfddab2017f2386535fda205c415b, 0x5a5aef0bbd1f7eee7fbc801335bcd5, 0x00413e], - ), - F::from_limbs( - [0xe255d810db7c7ba57428937e370687, 0x2e7f20b138794741d7afe1d1739af4, 0x004cf7], - ), - F::from_limbs( - [0xdb4e2aef22df835a8bd76b81c8f97a, 0x78d408ec44ceebf8005827d0646a5e, 0x0026f6], - ), - F::from_limbs( - [0x2a36904e65334d504798a56d84b81b, 0x4e6452d677424619a91495c55a387a, 0x001963], - ), - F::from_limbs( - [0x936d72b19928b1afb86759927b47e6, 0x58eed6c70605ed202ef373dc7dccd9, 0x005a8a], - ), - F::from_limbs( - [0x892679c5bf83b3bedbfaac558c8d18, 0xe9ac49520d3dc9997bf03a451a6630, 0x003754], - ), - F::from_limbs( - [0x347d893a3ed84b41240552aa7372e9, 0xbda6e04b700a69a05c17cf5cbd9f23, 0x003c98], - ), - F::from_limbs( - [0xf254f66ae5ee531c14292bf0255fd5, 0x1effcfc73d5c86252263d4232859d9, 0x00526e], - ), - F::from_limbs( - [0xcb4f0c95186dabe3ebd6d30fdaa02c, 0x885359d63febad14b5a4357eafab79, 0x00217f], - ), - F::from_limbs( - [0xe17e99d8256761f9a5ad12c1f3853f, 0x36423bc3f0fae23f188a9a547b7d01, 0x006a6d], - ), - F::from_limbs( - [0xdc256927d8f49d065a52ec3e0c7ac2, 0x7110edd98c4d50fabf7d6f4d5c8851, 0x000980], - ), - F::from_limbs( - [0x306689091abed321eed5418571ac33, 0x92d95a4ef11d7cddd189d0ec4d20a0, 0x000e3d], - ), - F::from_limbs( - [0x8d3d79f6e39d2bde112abd7a8e53ce, 0x1479cf4e8c2ab65c067e38b58ae4b3, 0x0065b0], - ), - F::from_limbs( - [0x3d1d54f8f2982de43fdb36bf47bcc3, 0xba63f2b18adc6f2e9e0b45136d4f1c, 0x006efb], - ), - F::from_limbs( - [0x8086ae070bc3d11bc024c840b8433e, 0xecef36ebf26bc40b39fcc48e6ab637, 0x0004f1], - ), - F::from_limbs( - [0x902f381368c0b10a873d6c9d82cbdd, 0x7b0015a2d0fe32712683cabe07344f, 0x0050ee], - ), - F::from_limbs( - [0x2d74caec959b4df578c292627d3424, 0x2c5313faac4a00c8b1843ee3d0d104, 0x0022ff], - ), - F::from_limbs( - [0xee61519e282a1877ab619f936cb9e1, 0xf2c40c622d5c14a79f3664b930f42d, 0x002e62], - ), - F::from_limbs( - [0xcf42b161d631e688549e5f6c934620, 0xb48f1d3b4fec1e9238d1a4e8a71125, 0x00458a], - ), - F::from_limbs( - [0xc4dccaecd1fbf5e4f8b0b094a83cb3, 0xa8ec3ef066195ec440a4e3fd2ea14c, 0x000539], - ), - F::from_limbs( - [0xf8c738132c60091b074f4e6b57c34e, 0xfe66eaad172ed475976325a4a96406, 0x006eb3], - ), - F::from_limbs( - [0xea27b86283f69cf28211eacc0710ff, 0x0a61fb4687169578008f160eb02032, 0x0016a8], - ), - F::from_limbs( - [0xd37c4a9d7a65620d7dee1433f8ef02, 0x9cf12e56f6319dc1d778f39327e520, 0x005d45], - ), - F::from_limbs( - [0x53ec9a4a2ac078308183f53cba4097, 0x9444ba3d2df9d017f9d3a6beb55f1f, 0x004fb9], - ), - F::from_limbs( - [0x69b768b5d39b86cf7e7c09c345bf6a, 0x130e6f604f4e6321de3462e322a634, 0x002434], - ), - F::from_limbs( - [0xd20df595f39f2afdc2fcf153ad903c, 0x2ece77c82d2c0c03b16ef100307a6e, 0x000d33], - ), - F::from_limbs( - [0xeb960d6a0abcd4023d030dac526fc5, 0x7884b1d5501c2736269918a1a78ae4, 0x0066ba], - ), - F::from_limbs( - [0x0ac6a330a41421f54ee691e0643777, 0x4f96d2ac9b3923c8d9e9259802f7d7, 0x002194], - ), - F::from_limbs( - [0xb2dd5fcf5a47dd0ab1196d1f9bc88a, 0x57bc56f0e20f0f70fe1ee409d50d7c, 0x005259], - ), - F::from_limbs( - [0x0e3d52802ba363eb2b24461b367723, 0x0dba5e260f57ac9e3e8ba3ed80a750, 0x006e68], - ), - F::from_limbs( - [0xaf66b07fd2b89b14d4dbb8e4c988de, 0x9998cb776df0869b997c65b4575e03, 0x000585], - ), - F::from_limbs( - [0xc786c39e8d76c168070ff63089758b, 0x4bf2fd4556aba449afd09e0b523b9a, 0x0047cd], - ), - F::from_limbs( - [0xf61d3f6170e53d97f8f008cf768a76, 0x5b602c58269c8ef028376b9685c9b8, 0x002c20], - ), - F::from_limbs( - [0x5b740bab2ae626b3a288e56cbe6ba2, 0x2ec9ee1056d93f5bdf1610b8e02c02, 0x0061be], - ), - F::from_limbs( - [0x622ff754d375d84c5d77199341945f, 0x78893b8d266ef3ddf8f1f8e8f7d951, 0x00122f], - ), - F::from_limbs( - [0xb2b4506b58821b9782d98e09dd2095, 0x1180e4201fdd09faded963276eda9c, 0x001717], - ), - F::from_limbs( - [0x0aefb294a5d9e3687d2670f622df6c, 0x95d2457d5d6b293ef92ea67a692ab7, 0x005cd6], - ), - F::from_limbs( - [0x59d09e36445b2c8d76f7be4ffbdf0c, 0x7d907dfec3418f3e53c99a199f8fa5, 0x005deb], - ), - F::from_limbs( - [0x63d364c9ba00d272890840b00420f5, 0x29c2ab9eba06a3fb843e6f883875ae, 0x001602], - ), - F::from_limbs( - [0x5abe13ab2a152efe228225b0b37c11, 0x78ed18c25162b9575235ed65ee9b01, 0x005681], - ), - F::from_limbs( - [0x62e5ef54d446d001dd7dd94f4c83f0, 0x2e6610db2be579e285d21c3be96a52, 0x001d6c], - ), - F::from_limbs( - [0xd8c7e12991d3593a7478c980a80dcd, 0xb7a1c70a28635fea4420d98de0ddff, 0x00077f], - ), - F::from_limbs( - [0xe4dc21d66c88a5c58b87357f57f234, 0xefb1629354e4d34f93e73013f72753, 0x006c6d], - ), - F::from_limbs( - [0xbe7f08f42eb31a40103db7fbe67596, 0x76187ee6c6269fbef78669ab90d7d8, 0x005cb3], - ), - F::from_limbs( - [0xff24fa0bcfa8e4bfefc24704198a6b, 0x313aaab6b721937ae0819ff6472d7a, 0x00173a], - ), - F::from_limbs( - [0x1234f45f84b51a2458759b86aa9b46, 0xbce4857298de5aa7436a8e41578bef, 0x001ade], - ), - F::from_limbs( - [0xab6f0ea079a6e4dba78a63795564bb, 0xea6ea42ae469d892949d7b60807964, 0x00590e], - ), - F::from_limbs( - [0xe8cb30c74f3496a5de0a8cb929b435, 0x7142c749358132565e4a3f276dddcf, 0x00263d], - ), - F::from_limbs( - [0xd4d8d238af27685a21f57246d64bcc, 0x3610625447c700e379bdca7a6a2783, 0x004db0], - ), - F::from_limbs( - [0xc06812fcc08500e1b3a80d3dc99e5a, 0xde2bae7c6bb687328292c58f0914fc, 0x000a7a], - ), - F::from_limbs( - [0xfd3bf0033dd6fe1e4c57f1c23661a7, 0xc9277b211191ac0755754412cef056, 0x006972], - ), - F::from_limbs( - [0xc8b17cc28f5b5914730aa651dc14c6, 0x0a2862c6b0aa7e00857f06f8f13093, 0x001dca], - ), - F::from_limbs( - [0xf4f2863d6f00a5eb8cf558ae23eb3b, 0x9d2ac6d6cc9db539528902a8e6d4bf, 0x005623], - ), - F::from_limbs( - [0x1230bc0e387e9558bd52e8fdf0f3fa, 0x0e85c8adf888bf4821c2f7e1d5e5bb, 0x003755], - ), - F::from_limbs( - [0xab7346f1c5dd69a742ad16020f0c07, 0x98cd60ef84bf73f1b64511c0021f98, 0x003c98], - ), - F::from_limbs( - [0xe24941616914e7ad110ef96d2c8b89, 0x2f2b1ea09b86b3e9ced3336c9ff439, 0x001bbc], - ), - F::from_limbs( - [0xdb5ac19e95471752eef10592d37478, 0x78280afce1c17f500934d635381119, 0x005831], - ), - F::from_limbs( - [0xb530ecbcf382bb730881f99cce2b05, 0x97b86edc1c02dfa201d28456bec63b, 0x00008a], - ), - F::from_limbs( - [0x087316430ad9438cf77e056331d4fc, 0x0f9abac161455397d635854b193f18, 0x007363], - ), - F::from_limbs( - [0xa7275730b5b11515f4e3caddb042a0, 0xf0a1a79dc567185006d5ff757c19fe, 0x0056c8], - ), - F::from_limbs( - [0x167cabcf48aae9ea0b1c34224fbd61, 0xb6b181ffb7e11ae9d1320a2c5beb55, 0x001d24], - ), - F::from_limbs( - [0x61b6a2481f0bc6f89b6e4cc3f8a8d9, 0xcbcfbfa6e1cac504800176c799853b, 0x005048], - ), - F::from_limbs( - [0x5bed60b7df5038076491b23c075728, 0xdb8369f69b7d6e35580692da3e8018, 0x0023a4], - ), - F::from_limbs( - [0x65dd758be92292d21af29fac91cf26, 0xf5feecd35328814b1382cf67a22cc2, 0x00503f], - ), - F::from_limbs( - [0x57c68d7415396c2de50d5f536e30db, 0xb1543cca2a1fb1eec4853a3a35d891, 0x0023ad], - ), - F::from_limbs( - [0x1f5a7f98a0d41d2fb01e7994ae9e07, 0x266275af949d1efef1ea963a619c6d, 0x007145], - ), - F::from_limbs( - [0x9e4983675d87e1d04fe1856b5161fa, 0x80f0b3ede8ab143ae61d73677668e6, 0x0002a8], - ), - F::from_limbs( - [0x8d78320cf0b1dc0bf6682a1f324c98, 0xd95c3d037697cca953c9a7d7135772, 0x004e04], - ), - F::from_limbs( - [0x302bd0f30daa22f40997d4e0cdb369, 0xcdf6ec9a06b06690843e61cac4ade1, 0x0025e8], - ), - F::from_limbs( - [0xab429c42218eea9d1a8d0cdf05b3f5, 0xba420ebae0ca2485088dcd0eedfd0f, 0x004571], - ), - F::from_limbs( - [0x126166bddccd1462e572f220fa4c0c, 0xed111ae29c7e0eb4cf7a3c92ea0844, 0x002e7b], - ), - F::from_limbs( - [0x8a07f9f945e0a8a970b4f3f6820606, 0xc78bdc342aafc2989b69d7031f283b, 0x003573], - ), - F::from_limbs( - [0x339c0906b87b56568f4b0b097df9fb, 0xdfc74d69529870a13c9e329eb8dd18, 0x003e79], - ), - F::from_limbs( - [0x17df56d813171c551a3d49cec26fff, 0xd46e142d366d1862d870c69ea23d3b, 0x0034df], - ), - F::from_limbs( - [0xa5c4ac27eb44e2aae5c2b5313d9002, 0xd2e5157046db1ad6ff97430335c818, 0x003f0d], - ), - F::from_limbs( - [0x71280f074d1440d341280e40f6ff69, 0x493dd2c18195b3d4f002ab14fce7d7, 0x003657], - ), - F::from_limbs( - [0x4c7bf3f8b147be2cbed7f0bf090098, 0x5e1556dbfbb27f64e8055e8cdb1d7c, 0x003d96], - ), - F::from_limbs( - [0x7d5dfa3a479c8e611337171217a856, 0x8a69cc191d70c9bffed16f4a90e9b9, 0x0023f6], - ), - F::from_limbs( - [0x404608c5b6bf709eecc8e7ede857ab, 0x1ce95d845fd76979d9369a57471b9a, 0x004ff7], - ), - F::from_limbs( - [0x2297d77e27dabdc088bdd905a55f21, 0xe5ba74ab8f7b7943135dbd04ce91ce, 0x000ec6], - ), - F::from_limbs( - [0x9b0c2b81d681413f774225fa5aa0e0, 0xc198b4f1edccb9f6c4aa4c9d097385, 0x006526], - ), - F::from_limbs( - [0x1780f66062d06efdbc5c8f8076051c, 0xff129029040c12f30d72abc32d1510, 0x002214], - ), - F::from_limbs( - [0xa6230c9f9b8b900243a36f7f89fae5, 0xa8409974793c2046ca955ddeaaf043, 0x0051d8], - ), - F::from_limbs( - [0xff74fc1738cfd4e640defe9c3d1988, 0x5f9a2cb148576539d6e7048fb70e71, 0x002be5], - ), - F::from_limbs( - [0xbe2f06e8c58c2a19bf210063c2e679, 0x47b8fcec34f0ce000121051220f6e1, 0x004808], - ), - F::from_limbs( - [0xfee0e9919be7eb242860ad1233361d, 0x51765816dd0870c5f64dfff44c0fe1, 0x005251], - ), - F::from_limbs( - [0xbec3196e627413dbd79f51edccc9e4, 0x55dcd186a03fc273e1ba09ad8bf571, 0x00219c], - ), - F::from_limbs( - [0x1d417ac2d72f8681deb3aea33c8449, 0xf5bec7ef45efbf9de97916504aabd2, 0x002801], - ), - F::from_limbs( - [0xa062883d272c787e214c505cc37bb8, 0xb19461ae3758739bee8ef3518d5981, 0x004beb], - ), - F::from_limbs( - [0xffd9cd43748cd07e797c34f167e1ae, 0xfb8721c1baed95f9167176d30171d8, 0x0032d0], - ), - F::from_limbs( - [0xbdca35bc89cf2e818683ca0e981e53, 0xabcc07dbc25a9d40c19692ced6937a, 0x00411c], - ), - F::from_limbs( - [0x46efcbd5cbd25bcdea20340e865edc, 0x5cf7ea7460e71bb5ebece92e50178a, 0x003bbb], - ), - F::from_limbs( - [0x76b4372a3289a33215dfcaf179a125, 0x4a5b3f291c611783ec1b207387edc9, 0x003832], - ), - F::from_limbs( - [0x1acd98fa4e19e15adb37a5ea82fe43, 0x64500bde4ae6b522fed010b950c90d, 0x0039b7], - ), - F::from_limbs( - [0xa2d66a05b0421da524c859157d01be, 0x43031dbf32617e16d937f8e8873c46, 0x003a36], - ), - F::from_limbs( - [0xf97bf1fe6c26fcec89f106fb90245c, 0xcc7b13e9ecf1b6504cd2a95cc231ba, 0x00707c], - ), - F::from_limbs( - [0xc428110192350213760ef8046fdba5, 0xdad815b390567ce98b35604515d398, 0x000370], - ), - F::from_limbs( - [0xb40031a396daed1d58d36d2887248a, 0xefd47eb0b490fb4b5fe309008ffb30, 0x0025d6], - ), - F::from_limbs( - [0x09a3d15c678111e2a72c91d778db77, 0xb77eaaecc8b737ee782500a1480a23, 0x004e16], - ), - F::from_limbs( - [0xb896192a36d9e94f4e49f4db97e1d9, 0x2ffe51ef6ac663a47e046c9d5d166c, 0x003fd0], - ), - F::from_limbs( - [0x050de9d5c78215b0b1b60a24681e28, 0x7754d7ae1281cf955a039d047aeee7, 0x00341d], - ), - F::from_limbs( - [0x3c79d13bd65d4193ca2d1bc7fd9263, 0x66ae43c4c3c56831575a9d83a15eb2, 0x003933], - ), - F::from_limbs( - [0x812a31c427febd6c35d2e338026d9e, 0x40a4e5d8b982cb0880ad6c1e36a6a1, 0x003aba], - ), - F::from_limbs( - [0x8534756de28ddf9c097282f8518c00, 0x2e85cd535086081a5545bd583161c8, 0x005fc4], - ), - F::from_limbs( - [0x386f8d921bce1f63f68d7c07ae7401, 0x78cd5c4a2cc22b1f82c24c49a6a38b, 0x001429], - ), - F::from_limbs( - [0x7ad52f8a5c627be96a0110191444de, 0xd5d6f7db3f4f0f669bb5886c3af4cb, 0x000753], - ), - F::from_limbs( - [0x42ced375a1f9831695feeee6ebbb23, 0xd17c31c23df923d33c5281359d1088, 0x006c99], - ), - F::from_limbs( - [0xfcbf4084f4f9b2c30b3c3647dd9723, 0x82a49d6b5c74782c1cd532b1b61313, 0x002b73], - ), - F::from_limbs( - [0xc0e4c27b09624c3cf4c3c8b82268de, 0x24ae8c3220d3bb0dbb32d6f021f23f, 0x00487a], - ), - F::from_limbs( - [0x5167b6e1c6e7094e396cf2c8808fc1, 0x2b3fd45a67f93cbcdfb94554c90356, 0x00403c], - ), - F::from_limbs( - [0x6c3c4c1e3774f5b1c6930c377f7040, 0x7c135543154ef67cf84ec44d0f01fd, 0x0033b1], - ), - F::from_limbs( - [0xaad9d1e07e8ad1c6704a19b8498e4c, 0x9a8e6f552967166e1d63d16fa4191b, 0x002cfc], - ), - F::from_limbs( - [0x12ca311f7fd12d398fb5e547b671b5, 0x0cc4ba4853e11ccbbaa4383233ec38, 0x0046f1], - ), - F::from_limbs( - [0xa6f095c3e393ea78bad60fe8295af1, 0x51570dd9c749cd846dedf76d82d68e, 0x0018f1], - ), - F::from_limbs( - [0x16b36d3c1ac814874529ef17d6a510, 0x55fc1bc3b5fe65b56a1a1234552ec5, 0x005afc], - ), - F::from_limbs( - [0xd4799a1030031151641d355ed74859, 0xa82ef937f7a8184e37dc8531cf3300, 0x005c33], - ), - F::from_limbs( - [0xe92a68efce58edae9be2c9a128b7a8, 0xff24306585a01aeba02b847008d252, 0x0017b9], - ), - F::from_limbs( - [0x9183dce28ef8014fe8d6d7c4afe0a9, 0xcfdf2f836149018debf684e68567f3, 0x002b70], - ), - F::from_limbs( - [0x2c20261d6f63fdb01729273b501f58, 0xd773fa1a1bff31abec1184bb529d60, 0x00487c], - ), - F::from_limbs( - [0x78921f813dbb183c71a7402ec2eed5, 0x4ad5a9709b098e4630618320a9220e, 0x0034ff], - ), - F::from_limbs( - [0x4511e37ec0a0e6c38e58bed13d112c, 0x5c7d802ce23ea4f3a7a686812ee345, 0x003eee], - ), - F::from_limbs( - [0xb104627af5b12aeb15f8b2e0dc45d1, 0xafb9f051dae05d758652dede4d953e, 0x005765], - ), - F::from_limbs( - [0x0c9fa08508aad414ea074c1f23ba30, 0xf799394ba267d5c451b52ac38a7015, 0x001c87], - ), - F::from_limbs( - [0x076c47c5c2c17969253d44de1e4d00, 0x18e25537e45a543a827b37d2ebc611, 0x000970], - ), - F::from_limbs( - [0xb637bb3a3b9a8596dac2ba21e1b301, 0x8e70d46598eddeff558cd1ceec3f42, 0x006a7d], - ), - F::from_limbs( - [0x1a77c155967b404f527ffbb148e55b, 0x124a85c2aa3222dad195f08db8c103, 0x004820], - ), - F::from_limbs( - [0xa32c41aa67e0beb0ad80034eb71aa6, 0x9508a3dad316105f067219141f4450, 0x002bcd], - ), - F::from_limbs( - [0x526ac238e5a0c5a70265e120dec41a, 0xb91dbc2c171b610f40689e8bdb7e85, 0x0054a2], - ), - F::from_limbs( - [0x6b3940c718bb3958fd9a1ddf213be7, 0xee356d71662cd22a979f6b15fc86ce, 0x001f4a], - ), - F::from_limbs( - [0xbc3f5982e5d13e52ac9853b184617d, 0xcfe5971c4e6c2818670f0f6e1efe30, 0x005db5], - ), - F::from_limbs( - [0x0164a97d188ac0ad5367ab4e7b9e84, 0xd76d92812edc0b2170f8fa33b90723, 0x001637], - ), - F::from_limbs( - [0xea190ee72171b5bf96906be310d83a, 0xb49f8ab5bb56e6d4fddaed19d920a7, 0x005edc], - ), - F::from_limbs( - [0xd38af418dcea4940696f931cef27c7, 0xf2b39ee7c1f14c64da2d1c87fee4ab, 0x001510], - ), - F::from_limbs( - [0x1ca7fc06a7652dce89d9caeca2788e, 0x41484cc523db20e2ed344c1f0d27dc, 0x006fb2], - ), - F::from_limbs( - [0xa0fc06f956f6d131762634135d8773, 0x660adcd8596d1256ead3bd82cadd77, 0x00043b], - ), - F::from_limbs( - [0x24ee69f08086a145b0c011142f943c, 0xbc8be1039af2e00b5ea72b0ce3cc51, 0x002f6b], - ), - F::from_limbs( - [0x98b5990f7dd55dba4f3fedebd06bc5, 0xeac74899e255532e7960de94f43902, 0x004481], - ), - F::from_limbs( - [0x4e43d7d4c8cc800c599e831e62b8d6, 0xfe6e13f0c70ec64b7d75ada9bc94dc, 0x0020c6], - ), - F::from_limbs( - [0x6f602b2b358f7ef3a6617be19d472b, 0xa8e515acb6396cee5a925bf81b7077, 0x005326], - ), - F::from_limbs( - [0xa4cf29a5781cc8b8f0b1427b5e42f8, 0x14f60f00b7cfd56abdc480f96f516e, 0x001acf], - ), - F::from_limbs( - [0x18d4d95a863f36470f4ebc84a1bd09, 0x925d1a9cc5785dcf1a4388a868b3e5, 0x00591e], - ), - F::from_limbs( - [0x860ca3e0b0c8cd0d2607b31e34bf62, 0x39b5bc3017ffbab6734e04debb058b, 0x0046b3], - ), - F::from_limbs( - [0x37975f1f4d9331f2d9f84be1cb409f, 0x6d9d6d6d6548788364ba04c31cffc8, 0x002d3a], - ), - F::from_limbs( - [0xaa0aa405432df6ef7fba47f56fb3d8, 0x3e710294f33c1a7756ed868ab15142, 0x005dc7], - ), - F::from_limbs( - [0x13995efabb2e08108045b70a904c29, 0x68e227088a0c18c2811a831726b411, 0x001626], - ), - F::from_limbs( - [0xe49f3bc59065cd5a9925b13969600f, 0x8418db7c8f6c07faa3df067d96a234, 0x0062b2], - ), - F::from_limbs( - [0xd904c73a6df631a566da4dc6969ff2, 0x233a4e20eddc2b3f3429032441631e, 0x00113b], - ), - F::from_limbs( - [0x08f69bb5a34d7a4d4166e5018414f8, 0x0bd90a98a833477c49bd9f429e3221, 0x006bd5], - ), - F::from_limbs( - [0xb4ad674a5b0e84b2be9919fe7beb09, 0x9b7a1f04d514ebbd8e4a6a5f39d332, 0x000818], - ), - F::from_limbs( - [0x858e55d4b05011c65654cc6e143494, 0x5f38c3c0928bc650a7b8aabc2c90b0, 0x00637a], - ), - F::from_limbs( - [0x3815ad2b4e0bed39a9ab3291ebcb6d, 0x481a65dceabc6ce9304f5ee5ab74a3, 0x001073], - ), - F::from_limbs( - [0x56451a0f2e97031e3ac422a3bebfce, 0x375f4d14b97ee1c87bd168b412c9dc, 0x0007ce], - ), - F::from_limbs( - [0x675ee8f0cfc4fbe1c53bdc5c414033, 0x6ff3dc88c3c951715c36a0edc53b77, 0x006c1f], - ), - F::from_limbs( - [0x203872ef16ad220269e1371ad9a322, 0x6fbb53c9f81b01ac67d632538bc740, 0x00731a], - ), - F::from_limbs( - [0x9d6b9010e7aedcfd961ec7e5265cdf, 0x3797d5d3852d318d7031d74e4c3e13, 0x0000d3], - ), - F::from_limbs( - [0x46ca8e879475036676bb13db1cfdd7, 0xb14784ed9323b84e3224c2e800f6bf, 0x0044df], - ), - F::from_limbs( - [0x76d9747869e6fb998944eb24e3022a, 0xf60ba4afea247aeba5e346b9d70e94, 0x002f0d], - ), - F::from_limbs( - [0x3f2f1cdac0bdd61490fae57a7c33a7, 0xe357b3f96e6d94c1b71405e3140b1f, 0x001189], - ), - F::from_limbs( - [0x7e74e6253d9e28eb6f05198583cc5a, 0xc3fb75a40eda9e7820f403bec3fa34, 0x006263], - ), - F::from_limbs( - [0x55ed36483309549cee4813c5113cae, 0x623b190ab7ecc0e1424947746063b4, 0x006bbf], - ), - F::from_limbs( - [0x67b6ccb7cb52aa6311b7eb3aeec353, 0x45181092c55b725895bec22d77a19f, 0x00082e], - ), - F::from_limbs( - [0x1b0f77f0d55ea106e039f68e5ab3dd, 0x860235a7434baffb53bd6eab1fa801, 0x003664], - ), - F::from_limbs( - [0xa2948b0f28fd5df91fc60871a54c24, 0x2150f3f639fc833e844a9af6b85d52, 0x003d89], - ), - F::from_limbs( - [0xe78026be2d5e7457717af258d76b50, 0xdacf4627bc5be4665ae77a4160334d, 0x000eeb], - ), - F::from_limbs( - [0xd623dc41d0fd8aa88e850ca72894b1, 0xcc83e375c0ec4ed37d208f6077d205, 0x006501], - ), - F::from_limbs( - [0x67bb8c3c1db6ea8505ca50e03d6419, 0x9cbef4cf3ede358ff43badf4f95a4a, 0x004340], - ), - F::from_limbs( - [0x55e876c3e0a5147afa35ae1fc29be8, 0x0a9434ce3e69fda9e3cc5bacdeab09, 0x0030ad], - ), - F::from_limbs( - [0x5f6b1fce35a767a42cef3b59936aca, 0x330034910c6106697712ede6bda93f, 0x006c0d], - ), - F::from_limbs( - [0x5e38e331c8b4975bd310c3a66c9537, 0x7452f50c70e72cd060f51bbb1a5c14, 0x0007e0], - ), - F::from_limbs( - [0x3a056f49df88978ecfab339e06cb5b, 0x2071f73b29bb76665151b4cb89bba9, 0x000d56], - ), - F::from_limbs( - [0x839e93b61ed367713054cb61f934a6, 0x86e13262538cbcd386b654d64e49aa, 0x006697], - ), - F::from_limbs( - [0xef2c4c46e3ffffcb692d0528f44414, 0xacccb9468e3c4282dc4972a3cca5fb, 0x0005ca], - ), - F::from_limbs( - [0xce77b6b91a5bff3496d2f9d70bbbed, 0xfa867056ef0bf0b6fbbe96fe0b5f57, 0x006e22], - ), - F::from_limbs( - [0x881eea9a94f19f18bb67ac498bb306, 0xdd3a18e8bc717109bb87546c7be526, 0x001055], - ), - F::from_limbs( - [0x35851865696a5fe7449852b6744cfb, 0xca1910b4c0d6c2301c80b5355c202d, 0x006397], - ), - F::from_limbs( - [0xa7f2c626b2e4def707a2d2027625b3, 0x9b9923940fc900b3afc1442ae9abaf, 0x006fa1], - ), - F::from_limbs( - [0x15b13cd94b772008f85d2cfd89da4e, 0x0bba06096d7f32862846c576ee59a4, 0x00044c], - ), - F::from_limbs( - [0x10558d9aa509ab0e5ae9a70d5d061a, 0xc356d0de01d48ff79d5e980fce6409, 0x004e6f], - ), - F::from_limbs( - [0xad4e7565595253f1a51657f2a2f9e7, 0xe3fc58bf7b73a3423aa9719209a14a, 0x00257d], - ), - F::from_limbs( - [0x23c188df7ce263b135c7a97914d377, 0x39349820411f5fc93aca2333a367b1, 0x0031d6], - ), - F::from_limbs( - [0x99e27a2081799b4eca385586eb2c8a, 0x6e1e917d3c28d3709d3de66e349da2, 0x004217], - ), - F::from_limbs( - [0x6246eaafa91200119436ea05caedb2, 0xfe0d05b931869a29e30166d46cc7b6, 0x004b5e], - ), - F::from_limbs( - [0x5b5d18505549feee6bc914fa35124f, 0xa94623e44bc1990ff506a2cd6b3d9d, 0x00288e], - ), - F::from_limbs( - [0x9d99175038716628f47d40e82d15bd, 0x093fd8cc8c196a702485b38d5808f4, 0x00713d], - ), - F::from_limbs( - [0x200aebafc5ea98d70b82be17d2ea44, 0x9e1350d0f12ec8c9b38256147ffc5f, 0x0002b0], - ), - F::from_limbs( - [0xeb780345d8d48e768d55926c7e753e, 0x99ddf792e5371ad4958bc9e7000449, 0x005664], - ), - F::from_limbs( - [0xd22bffba2587708972aa6c93818ac3, 0x0d75320a98111865427c3fbad80109, 0x001d89], - ), - F::from_limbs( - [0x252bfa132081f9d0568f04b84b2a00, 0x3359a03f722a55433db658105171ca, 0x00726e], - ), - F::from_limbs( - [0x987808ecddda052fa970fa47b4d601, 0x73f9895e0b1dddf69a51b191869389, 0x00017f], - ), - F::from_limbs( - [0x4430904a87ce25144f897786ee3fb6, 0x09193ddd55abe3de5d7d83eacc3d55, 0x002f75], - ), - F::from_limbs( - [0x797372b5768dd9ebb076877911c04b, 0x9e39ebc0279c4f5b7a8a85b70bc7fe, 0x004478], - ), - F::from_limbs( - [0xe4fb2dcb4d9f1a4a9ebdd727b87a2e, 0x2b3e89f62de6e60238fe7599d7ec10, 0x0062ab], - ), - F::from_limbs( - [0xd8a8d534b0bce4b5614227d84785d3, 0x7c149fa74f614d379f099408001942, 0x001142], - ), - F::from_limbs( - [0xd620293ae0ef1d9da284bedb2f43d0, 0x180a5114016f798c9348185b0382e2, 0x003b69], - ), - F::from_limbs( - [0xe783d9c51d6ce1625d7b4024d0bc31, 0x8f48d8897bd8b9ad44bff146d48270, 0x003884], - ), - F::from_limbs( - [0x6e4a6abf88d933719ae8985de5540a, 0x852ff0a7b43ffbb7a8b0d7b33af34c, 0x002eae], - ), - F::from_limbs( - [0x4f5998407582cb8e651766a21aabf7, 0x222338f5c90837822f5731ee9d1207, 0x00453f], - ), - F::from_limbs( - [0xcc886ec1f3ffe0d1b7b97da44a349a, 0x156b1645203e0188cbbb016cf2efe2, 0x006934], - ), - F::from_limbs( - [0xf11b943e0a5c1e2e4846815bb5cb67, 0x91e813585d0a31b10c4d0834e51570, 0x000ab9], - ), - F::from_limbs( - [0xa3311e69461863c932b24d441a3598, 0x4a6827f60d795efd1735c252faeb40, 0x0061aa], - ), - F::from_limbs( - [0x1a72e496b8439b36cd4db1bbe5ca69, 0x5ceb01a76fced43cc0d2474edd1a13, 0x001243], - ), - F::from_limbs( - [0x82345ac27d7e4868b67310ef09a9cb, 0x92f702edb6d0f2507c5f193db6176b, 0x00110f], - ), - F::from_limbs( - [0x3b6fa83d80ddb697498cee10f65636, 0x145c26afc67740e95ba8f06421ede8, 0x0062de], - ), - F::from_limbs( - [0xdb0f7c98858057112f96e2b0f9b3dd, 0x58e0c574d4f3d63057d2ac2decc1c8, 0x001a68], - ), - F::from_limbs( - [0xe294866778dba7eed0691c4f064c24, 0x4e726428a8545d0980355d73eb438a, 0x005985], - ), - F::from_limbs( - [0x8c7c2afe21b8d4c669d39e6258ef1e, 0x02a17e71df56bfb88204fb95d7509b, 0x001696], - ), - F::from_limbs( - [0x3127d801dca32a39962c609da710e3, 0xa4b1ab2b9df1738156030e0c00b4b8, 0x005d57], - ), - F::from_limbs( - [0x4b6eef836791e9f54098590590f97a, 0x18a877b7ab1d7cfa546e4bac4497c4, 0x002a75], - ), - F::from_limbs( - [0x7235137c96ca150abf67a5fa6f0687, 0x8eaab1e5d22ab63f8399bdf5936d8f, 0x004978], - ), - F::from_limbs( - [0xda57a2483dd819a0521ef18aeb112b, 0x741f3f8e164dd0c49746d9253f440e, 0x005928], - ), - F::from_limbs( - [0xe34c60b7c083e55fade10d7514eed6, 0x3333ea0f66fa627540c1307c98c144, 0x001ac5], - ), - F::from_limbs( - [0x6d9efa01c14d946eb5dc3197a8ef92, 0x93e8f9bde758fed2674d81d6135835, 0x001439], - ), - F::from_limbs( - [0x500508fe3d0e6a914a23cd6857106f, 0x136a2fdf95ef346770ba87cbc4ad1e, 0x005fb4], - ), - F::from_limbs( - [0x6b343de16bed11f7715c2b59ea6e61, 0x4bd44428726e555938660d5f1259af, 0x003451], - ), - F::from_limbs( - [0x526fc51e926eed088ea3d3a61591a0, 0x5b7ee5750ad9dde09fa1fc42c5aba4, 0x003f9c], - ), - F::from_limbs( - [0xd7adea656c88ebe1c73198fced09ec, 0x858f3343b72247e4ce45ae3b842b6b, 0x0004ba], - ), - F::from_limbs( - [0xe5f6189a91d3131e38ce660312f615, 0x21c3f659c625eb5509c25b6653d9e7, 0x006f33], - ), - F::from_limbs( - [0x4396812497c58b3d6e0eb2267582d7, 0x19f1fc6fe5a19f799a4ac31e134aad, 0x00342f], - ), - F::from_limbs( - [0x7a0d81db669673c291f14cd98a7d2a, 0x8d612d2d97a693c03dbd4683c4baa6, 0x003fbe], - ), - F::from_limbs( - [0x330ac33976577896e7cd165be118af, 0x513188184d1e47fe7c0925272dc385, 0x006c00], - ), - F::from_limbs( - [0x8a993fc6880486691832e8a41ee752, 0x5621a1853029eb3b5bfee47aaa41ce, 0x0007ed], - ), - F::from_limbs( - [0xb422e761321f21d09645fe30b61c23, 0x9970ea51b0e6b23e7b35ed24a1e5c7, 0x00395c], - ), - F::from_limbs( - [0x09811b9ecc3cdd2f69ba00cf49e3de, 0x0de23f4bcc6180fb5cd21c7d361f8c, 0x003a91], - ), - F::from_limbs( - [0x0b160cf2d6797490f41560b245b067, 0xffc2ee6b0313ed07699a98a0e39141, 0x004a5a], - ), - F::from_limbs( - [0xb28df60d27e28a6f0bea9e4dba4f9a, 0xa7903b327a3446326e6d7100f47412, 0x002992], - ), - F::from_limbs( - [0xaba6e2d7d140d91f7cc4829e8423a4, 0xb6b450e6f2baafc992e5de759fc13a, 0x002110], - ), - F::from_limbs( - [0x11fd20282d1b25e0833b7c617bdc5d, 0xf09ed8b68a8d837045222b2c384419, 0x0052dc], - ), - F::from_limbs( - [0xa01148af98688c508dd3077d60548f, 0x935af62d62298775e60c31411c7d36, 0x0013e9], - ), - F::from_limbs( - [0x1d92ba5065f372af722cf7829fab72, 0x13f833701b1eabc3f1fbd860bb881d, 0x006004], - ), - F::from_limbs( - [0xc7276b0e0087cc7eb1318aca4306de, 0x43d57eb232ec56fb40f6e0bf66906e, 0x004451], - ), - F::from_limbs( - [0xf67c97f1fdd432814ece7435bcf923, 0x637daaeb4a5bdc3e971128e27174e4, 0x002f9c], - ), - F::from_limbs( - [0xeba7f573b3b0edb038298303139ae1, 0xe4ce8328676baf6a10b22f3eda88c1, 0x001629], - ), - F::from_limbs( - [0xd1fc0d8c4aab114fc7d67bfcec6520, 0xc284a67515dc83cfc755da62fd7c91, 0x005dc3], - ), - F::from_limbs( - [0x9bcab0951254eec1d795605c9454e1, 0x4f1ed5f3daea6d94451f7d62139849, 0x0030d1], - ), - F::from_limbs( - [0x21d9526aec07103e286a9ea36bab20, 0x583453a9a25dc5a592e88c3fc46d0a, 0x00431c], - ), - F::from_limbs( - [0x015a142b676f214fde7e2d7a559fd3, 0x6fb6de21ab8a003f81fccd9c6817e5, 0x00083d], - ), - F::from_limbs( - [0xbc49eed496ecddb02181d185aa602e, 0x379c4b7bd1be32fa560b3c056fed6e, 0x006bb0], - ), - F::from_limbs( - [0xb05750b0757d9b1b525693c4fdf276, 0xa020a192f58550d8f5fae982ba3ffb, 0x006226], - ), - F::from_limbs( - [0x0d4cb24f88de63e4ada96b3b020d8b, 0x0732880a87c2e260e20d201f1dc558, 0x0011c7], - ), - F::from_limbs( - [0x9589c6d02e429124ca49ae2654cfed, 0x93b1dca7fd1456679d9af60081e614, 0x000055], - ), - F::from_limbs( - [0x281a3c2fd0196ddb35b650d9ab3014, 0x13a14cf58033dcd23a6d13a1561f3f, 0x007398], - ), - F::from_limbs( - [0xe5f85ddf3c1b5cb31a1acd9d26ce3c, 0x0c64c68dd203f81ab9316428dff763, 0x003505], - ), - F::from_limbs( - [0xd7aba520c240a24ce5e53162d931c5, 0x9aee630fab443b1f1ed6a578f80def, 0x003ee8], - ), - F::from_limbs( - [0xaa559c25a323066982caeaed4863fd, 0x51ff3b932efd9f1ca45610bea15005, 0x000405], - ), - F::from_limbs( - [0x134e66da5b38f8967d351412b79c04, 0x5553ee0a4e4a941d33b1f8e336b54e, 0x006fe8], - ), - F::from_limbs( - [0x7c55cac91b46847d77398fb0253409, 0x54aa601bd20e14bc524e83f5dfdf0a, 0x0018aa], - ), - F::from_limbs( - [0x414e3836e3157a8288c66f4fdacbf8, 0x52a8c981ab3a1e7d85b985abf82649, 0x005b43], - ), - F::from_limbs( - [0x72ebfd53689d24efb99d766acb5fd5, 0x53b4e3288a76fc3f7b8a3bd7c507c1, 0x0018af], - ), - F::from_limbs( - [0x4ab805ac95beda104662889534a02c, 0x539e4674f2d136fa5c7dcdca12fd92, 0x005b3e], - ), - F::from_limbs( - [0xfd1bdd35d3c9d1c6cbff4af2be3916, 0x1e437926a687585966d8d7855d16d5, 0x00274d], - ), - F::from_limbs( - [0xc08825ca2a922d393400b40d41c6eb, 0x890fb076d6c0dae0712f321c7aee7d, 0x004ca0], - ), - F::from_limbs( - [0xb77311aa5733c02e36541e5c44ddc4, 0xf70a9c158f6fb5fca7743791401f4b, 0x00649c], - ), - F::from_limbs( - [0x0630f155a7283ed1c9abe0a3bb223d, 0xb0488d87edd87d3d3093d21097e608, 0x000f50], - ), - F::from_limbs( - [0xbec17bd32d28f964b877880b7bd162, 0x1c8e1645a812d561eb297d716c3f6e, 0x004732], - ), - F::from_limbs( - [0xfee2872cd133059b478876f4842e9f, 0x8ac51357d5355dd7ecde8c306bc5e4, 0x002cbb], - ), - F::from_limbs( - [0x4b9abc640df6a92392180523c30faa, 0xccb911dcb1ae544edf064df058b8a6, 0x000b8b], - ), - F::from_limbs( - [0x7209469bf06555dc6de7f9dc3cf057, 0xda9a17c0cb99deeaf901bbb17f4cad, 0x006861], - ), - F::from_limbs( - [0x43fba07004bb352fb97ddcbb685b7e, 0xfb15e4fc1addd4df8ea0dd402af30b, 0x0016aa], - ), - F::from_limbs( - [0x79a8628ff9a0c9d04682224497a483, 0xac3d44a1626a5e5a49672c61ad1248, 0x005d42], - ), - F::from_limbs( - [0x56e2bbfada26463ad32c3398b4cb0a, 0xf0957745c50282acff8e98d64e22c9, 0x003095], - ), - F::from_limbs( - [0x66c147052435b8c52cd3cb674b34f7, 0xb6bdb257b845b08cd87970cb89e28a, 0x004357], - ), - F::from_limbs( - [0x31dfefa8056f0bb4ad409f0a9afc82, 0x9150327c8a8167c605fb4aa50a4642, 0x002e81], - ), - F::from_limbs( - [0x8bc41357f8ecf34b52bf5ff565037f, 0x1602f720f2c6cb73d20cbefccdbf11, 0x00456c], - ), - F::from_limbs( - [0xe90e9f0a64c08bc2c919362a37a2f5, 0x90bdf40839f0ea8ca59fb662da9e1f, 0x003872], - ), - F::from_limbs( - [0xd49563f5999b733d36e6c8d5c85d0c, 0x16953595435748ad3268533efd6733, 0x003b7b], - ), - F::from_limbs( - [0x071011023ca1f11813365f2e4dd33f, 0x63d9876c3af1054103abfd750fa7e3, 0x0073d8], - ), - F::from_limbs( - [0xb693f1fdc1ba0de7ecc99fd1b22cc2, 0x4379a23142572df8d45c0c2cc85d70, 0x000015], - ), - F::from_limbs( - [0x694ee83ae27a47bed39a0919fadbc3, 0x4a3b47df5caa2bdad7b86e55e1c1cc, 0x0030e6], - ), - F::from_limbs( - [0x54551ac51be1b7412c65f5e605243e, 0x5d17e1be209e075f004f9b4bf64387, 0x004307], - ), - F::from_limbs( - [0x5e55696d530d23c829d3b1ec72d08f, 0xc09602866dfdcaae5a41e711829dab, 0x003c1e], - ), - F::from_limbs( - [0x5f4e9992ab4edb37d62c4d138d2f72, 0xe6bd27170f4a688b7dc622905567a8, 0x0037ce], - ), - F::from_limbs( - [0x288cf2ea23bfefa96caf3ac3f8ba22, 0xb3275950a9f9c4441b6584b2104f8d, 0x00719f], - ), - F::from_limbs( - [0x95171015da9c0f569350c43c0745df, 0xf42bd04cd34e6ef5bca284efc7b5c6, 0x00024d], - ), - F::from_limbs( - [0x8bc3b8285c996dbad4d376d1513768, 0x7256e5b76cb3175f0352ab72b4f874, 0x005ebd], - ), - F::from_limbs( - [0x31e04ad7a1c291452b2c882eaec899, 0x34fc43e610951bdad4b55e2f230cdf, 0x001530], - ), - F::from_limbs( - [0x894a39cb116c525af67e8ae5be1bb2, 0x8c6cd36c4d58e020f6ea3ff00d743a, 0x00625d], - ), - F::from_limbs( - [0x3459c934ecefaca50981741a41e44f, 0x1ae656312fef5318e11dc9b1ca9119, 0x001190], - ), - F::from_limbs( - [0x25e1a5766d24382bb250f695030649, 0xd5ae6d99265b8f18e758585cbb43c1, 0x005977], - ), - F::from_limbs( - [0x97c25d899137c6d44daf086afcf9b8, 0xd1a4bc0456eca420f0afb1451cc192, 0x001a75], - ), - F::from_limbs( - [0x108a14b7c70a6ad26c4075ed336c51, 0x0b039e7a6793034fce3be69716022a, 0x0041dd], - ), - F::from_limbs( - [0xad19ee483751942d93bf8912cc93b0, 0x9c4f8b2315b52fea09cc230ac20329, 0x003210], - ), - F::from_limbs( - [0x73d08bc76ccf5ba34807979b0215f8, 0x672456cb0e4d663c27a5ae14f1c97c, 0x006b48], - ), - F::from_limbs( - [0x49d37738918ca35cb7f86764fdea09, 0x402ed2d26efaccfdb0625b8ce63bd7, 0x0008a5], - ), - F::from_limbs( - [0xb194d22c9353d04f23e87d934f1f96, 0xd299fff47a28674a00d694f09259c6, 0x006a55], - ), - F::from_limbs( - [0x0c0f30d36b082eb0dc17816cb0e06b, 0xd4b929a9031fcbefd73174b145ab8d, 0x000997], - ), - F::from_limbs( - [0xe60667a30dabcfb52e13c743b9975c, 0x9bbee3ad9bc81a5f72c6f875ee7602, 0x001460], - ), - F::from_limbs( - [0xd79d9b5cf0b02f4ad1ec37bc4668a5, 0x0b9445efe18018da6541112be98f50, 0x005f8d], - ), - F::from_limbs( - [0xab86dadb989e51f0cbebe282c25f67, 0x985bbe50fcdf18c268a03833d98497, 0x0007a0], - ), - F::from_limbs( - [0x121d282465bdad0f34141c7d3da09a, 0x0ef76b4c80691a776f67d16dfe80bc, 0x006c4d], - ), - F::from_limbs( - [0xda7702676dea396d79c4d11332d72d, 0x2e7430a3a2a093042049534a4e9515, 0x004eda], - ), - F::from_limbs( - [0xe32d00989071c592863b2deccd28d4, 0x78def8f9daa7a035b7beb65789703d, 0x002513], - ), - F::from_limbs( - [0x3fea587c4affedc04f2ce41153449c, 0x22a7edcf8fa76606557aaa616f7f58, 0x003eaa], - ), - F::from_limbs( - [0x7db9aa83b35c113fb0d31aeeacbb65, 0x84ab3bcdeda0cd33828d5f406885fb, 0x003543], - ), - F::from_limbs( - [0xd6197d6c736880f50cd1a8e4c2db19, 0x175965785290878d175aaf9256fc91, 0x003bdf], - ), - F::from_limbs( - [0xe78a85938af37e0af32e561b3d24e8, 0x8ff9c4252ab7abacc0ad5a0f8108c1, 0x00380e], - ), - F::from_limbs( - [0xd541ba86f98b53e4a9ecb7395b88da, 0xdd06325810ac9f0db723ad6706b7b6, 0x002288], - ), - F::from_limbs( - [0xe862487904d0ab1b561347c6a47727, 0xca4cf7456c9b942c20e45c3ad14d9c, 0x005164], - ), - F::from_limbs( - [0xea6811be9c622d4a838b5d59cd79e5, 0x1f1b5c49c83409f1ca610a08f16655, 0x006d03], - ), - F::from_limbs( - [0xd33bf14161f9d1b57c74a1a632861c, 0x8837cd53b51429480da6ff98e69efd, 0x0006ea], - ), - F::from_limbs( - [0x4e1e3ba38d57fa7de6ee5fb11c8691, 0xc39cc1085e035b0395f3cb50c20339, 0x000d8b], - ), - F::from_limbs( - [0x6f85c75c7104048219119f4ee37970, 0xe3b668951f44d83642143e5116021a, 0x006661], - ), - F::from_limbs( - [0x11bb5ed43415b6eaa3a247fac9045c, 0x8ce61b57c643fab4ad0b6127b0bdf5, 0x006200], - ), - F::from_limbs( - [0xabe8a42bca4648155c5db70536fba5, 0x1a6d0e45b70438852afca87a27475e, 0x0011ed], - ), - F::from_limbs( - [0x66edf951391e017027b8876a00b1dd, 0x16bac381fe479a73369f5b7b9fbd66, 0x00269e], - ), - F::from_limbs( - [0x56b609aec53dfd8fd8477795ff4e24, 0x9098661b7f0098c6a168ae263847ed, 0x004d4f], - ), - F::from_limbs( - [0x8d3bda72fe32ac556446a1e4c8b12c, 0xdecdc861cdd2ba3c1894e10b47bb26, 0x0070a1], - ), - F::from_limbs( - [0x3068288d002952aa9bb95d1b374ed5, 0xc885613baf7578fdbf732896904a2d, 0x00034b], - ), - F::from_limbs( - [0xc2aede9421fa9e20d9bfae30c1dd53, 0x261192cf65c5eb82149a7ac5fda4ff, 0x0041af], - ), - F::from_limbs( - [0xfaf5246bdc6160df264050cf3e22ae, 0x814196ce178247b7c36d8edbda6053, 0x00323e], - ), - F::from_limbs( - [0x39f3a6db6531cdca1cb78883b5501f, 0x26227262918465175978507ae3f87a, 0x00650f], - ), - F::from_limbs( - [0x83b05c24992a3135e348767c4aafe2, 0x8130b73aebc3ce227e8fb926f40cd9, 0x000ede], - ), - F::from_limbs( - [0xc37dd45f1728e7f0d65f4eb1657ebb, 0xcbf627e693d811320caaca8a58a05a, 0x005d7a], - ), - F::from_limbs( - [0xfa262ea0e733170f29a0b04e9a8146, 0xdb5d01b6e9702207cb5d3f177f64f8, 0x001672], - ), - F::from_limbs( - [0xf0213a7d775a248c5cb6eb5617be18, 0x3d8529f4a57d3684ca197cb9b2697e, 0x0032a6], - ), - F::from_limbs( - [0xcd82c8828701da73a34913a9e841e9, 0x69cdffa8d7cafcb50dee8ce8259bd4, 0x004147], - ), - F::from_limbs( - [0x28b34e361f477916846a9d93c59012, 0x68771297c5f5cab5e5b78e6a8640e0, 0x000bb8], - ), - F::from_limbs( - [0x94f0b4c9df1485e97b95616c3a6fef, 0x3edc1705b7526883f2507b3751c473, 0x006835], - ), - F::from_limbs( - [0x2fcc7b4c5132e44eade4f1a131233d, 0x24993436058950f7e263c54ee6a9b5, 0x0053e3], - ), - F::from_limbs( - [0x8dd787b3ad291ab1521b0d5ecedcc4, 0x82b9f56777bee241f5a44452f15b9e, 0x00200a], - ), - F::from_limbs( - [0xe3b4dbe22b4392311d3304db643695, 0x6c675105ced67e07f5abd08cc0fb81, 0x00118c], - ), - F::from_limbs( - [0xd9ef271dd3186ccee2ccfa249bc96c, 0x3aebd897ae71b531e25c39151709d1, 0x006261], - ), - F::from_limbs( - [0xf11efe066d096281a3dfb44cd7d165, 0x9692bcbb22f340a207f615ad60750f, 0x003157], - ), - F::from_limbs( - [0xcc8504f991529c7e5c204ab3282e9c, 0x10c06ce25a54f297d011f3f4779043, 0x004296], - ), - F::from_limbs( - [0xdcb69c52a4e2ed82c4a6de94c8bf96, 0xadb5b738776bd7f6723b1e2ff13929, 0x0005c6], - ), - F::from_limbs( - [0xe0ed66ad5979117d3b59206b37406b, 0xf99d726505dc5b4365cceb71e6cc29, 0x006e26], - ), - F::from_limbs( - [0xbdddcc8bf7cd9ed4857eba4432963c, 0xae7241f1a002af8f5d5d7f44857a7f, 0x001987], - ), - F::from_limbs( - [0xffc63674068e602b7a8144bbcd69c5, 0xf8e0e7abdd4583aa7aaa8a5d528ad3, 0x005a65], - ), - F::from_limbs( - [0x403fec5dd82b2b02f99d83bd109f22, 0xad7b8eb369ebc5844282de960e20ea, 0x004e19], - ), - F::from_limbs( - [0x7d6416a22630d3fd06627b42ef60df, 0xf9d79aea135c6db595852b0bc9e469, 0x0025d3], - ), - F::from_limbs( - [0x667871334f5a17c81450fbaf4bac63, 0x8c39463268f3eff98a4b7b39d85563, 0x0054d1], - ), - F::from_limbs( - [0x572b91ccaf01e737ebaf0350b4539e, 0x1b19e36b145443404dbc8e67ffaff0, 0x001f1c], - ), - F::from_limbs( - [0xe5f786d3627dca98b3217a2417eb91, 0x2b1650a62e0d01d8396db702f1cebe, 0x007322], - ), - F::from_limbs( - [0xd7ac7c2c9bde34674cde84dbe81470, 0x7c3cd8f74f3b31619e9a529ee63694, 0x0000cb], - ), - F::from_limbs( - [0x14442a81d5dacf112f0e1c1ea12f87, 0x8dc193c234980989fd6dc601cf00dc, 0x0039df], - ), - F::from_limbs( - [0xa95fd87e28812feed0f1e2e15ed07a, 0x199195db48b029afda9a43a0090477, 0x003a0e], - ), - F::from_limbs( - [0x921cee975fa0e584ce4ae1e892a3c5, 0xc62efbed2b5cecef70db4531b7f32d, 0x000c2f], - ), - F::from_limbs( - [0x2b8714689ebb197b31b51d176d5c3c, 0xe1242db051eb464a672cc470201226, 0x0067bd], - ), - F::from_limbs( - [0x80e62a591e130ddff868f0a741ce9b, 0x73617687ce3861a1cbdaf40353ac4d, 0x005d2b], - ), - F::from_limbs( - [0x3cbdd8a6e048f12007970e58be3166, 0x33f1b315af0fd1980c2d159e845906, 0x0016c2], - ), - F::from_limbs( - [0xbebbfef511cfe3de78900fcc779e4b, 0x5e5d2d844e5ab78ecd7e8bbf2f114f, 0x004cc8], - ), - F::from_limbs( - [0xfee8040aec8c1b21876fef338861b6, 0x48f5fc192eed7bab0a897de2a8f403, 0x002725], - ), - F::from_limbs( - [0xfb644fa915d933a7364690463b8c5a, 0x3da87aae9f28ef0fa6840d0fb03214, 0x0035f4], - ), - F::from_limbs( - [0xc23fb356e882cb58c9b96eb9c473a7, 0x69aaaeeede1f442a3183fc9227d33e, 0x003df9], - ), - F::from_limbs( - [0x291078c0516e965d1f8871ac8e55dd, 0xd8a29031fa3b19ae5ba085ac0ef4a6, 0x005a92], - ), - F::from_limbs( - [0x94938a3faced68a2e0778d5371aa24, 0xceb0996b830d198b7c6783f5c910ad, 0x00195a], - ), - F::from_limbs( - [0xbe569a3a31f165c75c815f425cadf6, 0x91d2ea1bb63a6725ce5bff1ee40056, 0x003c67], - ), - F::from_limbs( - [0xff4d68c5cc6a9938a37e9fbda3520b, 0x15803f81c70dcc1409ac0a82f404fc, 0x003786], - ), - F::from_limbs( - [0xd4e8f014ba143af233e178fcd9035e, 0x187a05e3c16ef03e7c1f872a7e3d16, 0x007309], - ), - F::from_limbs( - [0xe8bb12eb4447c40dcc1e860326fca3, 0x8ed923b9bbd942fb5be8827759c83c, 0x0000e4], - ), - F::from_limbs( - [0x72c83deac35889a527d24cb6033b6d, 0x8dae310a1c6ed27159d1f41e8ecf38, 0x002a77], - ), - F::from_limbs( - [0x4adbc5153b03755ad82db249fcc494, 0x19a4f89360d960c87e36158349361b, 0x004976], - ), - F::from_limbs( - [0xed383bd6c47164f0f4a28beafd4b05, 0xfe95f6cd1c5ae51f8b3c2f31b064ca, 0x004b19], - ), - F::from_limbs( - [0xd06bc72939ea9a0f0b5d731502b4fc, 0xa8bd32d060ed4e1a4ccbda7027a088, 0x0028d3], - ), - F::from_limbs( - [0xc2af4e8c17ec9b12d6d2603dee0fe2, 0xaffd6163c6457b489fed890fd8e5be, 0x0055b0], - ), - F::from_limbs( - [0xfaf4b473e66f63ed292d9ec211f01f, 0xf755c839b702b7f1381a8091ff1f94, 0x001e3c], - ), - F::from_limbs( - [0x9902e6b674cd83c44a9dee0b94bba2, 0xe168decf4b8ed4289398be82882966, 0x001896], - ), - F::from_limbs( - [0x24a11c49898e7b3bb56210f46b445f, 0xc5ea4ace31b95f11446f4b1f4fdbed, 0x005b56], - ), - F::from_limbs( - [0x4e45ae2b0e3452a4529d1d508d95fc, 0x7722bad2894e16b2203d6eb58db41f, 0x0033f1], - ), - F::from_limbs( - [0x6f5e54d4f027ac5bad62e1af726a05, 0x30306ecaf3fa1c87b7ca9aec4a5134, 0x003ffc], - ), - F::from_limbs( - [0x37da9fd247b74cb41071ef7f2aea85, 0x217231241ba8cb044aeeeef2e88ea4, 0x003467], - ), - F::from_limbs( - [0x85c9632db6a4b24bef8e0f80d5157c, 0x85e0f879619f68358d191aaeef76af, 0x003f86], - ), - F::from_limbs( - [0x3f627cef182bf8f6139aa4696affcb, 0x10ac5d53a149416469b17618f6a047, 0x005364], - ), - F::from_limbs( - [0x7e418610e6300609ec655a96950036, 0x96a6cc49dbfef1d56e569388e1650c, 0x002089], - ), - F::from_limbs( - [0x7e981b72650bfeff3159bca6f143eb, 0xfc526f7aaa2242fa324ea12a7d5c51, 0x0011d4], - ), - F::from_limbs( - [0x3f0be78d99500000cea642590ebc16, 0xab00ba22d325f03fa5b968775aa902, 0x006218], - ), - F::from_limbs( - [0xd355e9996feaa77dfbd1f922488ad7, 0xb0058ff22890469a4cefef1ddd319e, 0x005848], - ), - F::from_limbs( - [0xea4e19668e715782042e05ddb7752a, 0xf74d99ab54b7ec9f8b181a83fad3b4, 0x001ba4], - ), - F::from_limbs( - [0x71709889e0167d409fadc1390c215b, 0x74aa326c7001fa831c8ac096dad4f9, 0x00693f], - ), - F::from_limbs( - [0x4c336a761e4581bf60523dc6f3dea6, 0x32a8f7310d4638b6bb7d490afd305a, 0x000aae], - ), - F::from_limbs( - [0x7f3c55e68a9ebe67f8591eaace97e5, 0x36a927134e53d5de7528fa90299f94, 0x000767], - ), - F::from_limbs( - [0x3e67ad1973bd409807a6e05531681c, 0x70aa028a2ef45d5b62df0f11ae65bf, 0x006c86], - ), - F::from_limbs( - [0xd68c4e218d617df86a5774c5ddad45, 0x3791051adf2dcf04d9abd55a75fca8, 0x00056b], - ), - F::from_limbs( - [0xe717b4de70fa810795a88a3a2252bc, 0x6fc224829e1a6434fe5c34476208aa, 0x006e82], - ), - F::from_limbs( - [0x7b2013f325133a921b388995bea7fd, 0x97cf9f1de049dea2d37f97aa42f19b, 0x001305], - ), - F::from_limbs( - [0x4283ef0cd948c46de4c7756a415804, 0x0f838a7f9cfe5497048871f79513b8, 0x0060e8], - ), - F::from_limbs( - [0x8ab8dd1277fe748ac4ce96c05922c8, 0x10e56eefef4251ebd9d921306ed45a, 0x005d42], - ), - F::from_limbs( - [0x32eb25ed865d8a753b31683fa6dd39, 0x966dbaad8e05e14dfe2ee8716930f9, 0x0016ab], - ), - F::from_limbs( - [0x0a4f7342f02550b7dd369ee24a4b2c, 0xfee53953c53b0cfcf5e4fb20e3fa23, 0x0006c4], - ), - F::from_limbs( - [0xb3548fbd0e36ae4822c9601db5b4d5, 0xa86df049b80d263ce2230e80f40b30, 0x006d28], - ), - F::from_limbs( - [0x7d50a297e01b9f76128ae4a4ec03cc, 0x48ee592217168094228f05f9a5f7b1, 0x0003cd], - ), - F::from_limbs( - [0x405360681e405f89ed751a5b13fc35, 0x5e64d07b6631b2a5b57903a8320da2, 0x007020], - ), - F::from_limbs( - [0x15ef3ee3ffc51b88fd3eb853540a9b, 0x0703b0d3a24c6f57d8c0bf34a21c9a, 0x001d2d], - ), - F::from_limbs( - [0xa7b4c41bfe96e37702c146acabf566, 0xa04f78c9dafbc3e1ff474a6d35e8b9, 0x0056c0], - ), - F::from_limbs( - [0xa0e87e3224359144dd54d2b5c75587, 0x4ac46b49ad06003051d8ebe9cfeefb, 0x003126], - ), - F::from_limbs( - [0x1cbb84cdda266dbb22ab2c4a38aa7a, 0x5c8ebe53d0423309862f1db8081658, 0x0042c7], - ), - F::from_limbs( - [0x8b986d29b33eb5f0def2eff45786de, 0xc59e71fd63b2bf1d7ff3348ecd758b, 0x0040be], - ), - F::from_limbs( - [0x320b95d64b1d490f210d0f0ba87923, 0xe1b4b7a01995741c5814d5130a8fc8, 0x00332e], - ), - F::from_limbs( - [0x99b19c7bca6174d7162d9719890f64, 0x9b45fa34b0b61f0b2d8c094d642020, 0x003b30], - ), - F::from_limbs( - [0x23f2668433fa8a28e9d267e676f09d, 0x0c0d2f68cc92142eaa7c005473e533, 0x0038bd], - ), - F::from_limbs( - [0xd107902335e8b13bda35e579e11aaf, 0x059e6e34b922e5757ecbd6781b5e62, 0x002ec2], - ), - F::from_limbs( - [0xec9c72dcc8734dc425ca19861ee552, 0xa1b4bb68c4254dc4593c3329bca6f0, 0x00452b], - ), - F::from_limbs( - [0x9e3c15394e6e1b208b52545e33565a, 0x494ae6fc135c86b8d15bf3d84bec66, 0x00191b], - ), - F::from_limbs( - [0x1f67edc6afede3df74adaaa1cca9a7, 0x5e0842a169ebac8106ac15c98c18ed, 0x005ad2], - ), - F::from_limbs( - [0x7d4b44384d28349ae50103d6566c65, 0x9d381a6230d31aa9d7cb35b628a6c7, 0x0057ad], - ), - F::from_limbs( - [0x4058bec7b133ca651afefb29a9939c, 0x0a1b0f3b4c751890003cd3ebaf5e8c, 0x001c40], - ), - F::from_limbs( - [0x86f87457e8d83a3e453abe1c7e3711, 0x8ca8ab8a88de4e6c5a7b26d84725a4, 0x005162], - ), - F::from_limbs( - [0x36ab8ea81583c4c1bac540e381c8f0, 0x1aaa7e12f469e4cd7d8ce2c990dfaf, 0x00228b], - ), - F::from_limbs( - [0xf1a3f8ee19dbd5ae0de328241583d7, 0xf540ec8a19daeeda67854d1fd03c74, 0x00330b], - ), - F::from_limbs( - [0xcc000a11e4802951f21cd6dbea7c2a, 0xb2123d13636d445f7082bc8207c8de, 0x0040e1], - ), - F::from_limbs( - [0x7f4a71e8149069d29f8a66433e17c6, 0x9b28721e8abbc3e8f9d6b214dd6309, 0x001c12], - ), - F::from_limbs( - [0x3e599117e9cb952d607598bcc1e83b, 0x0c2ab77ef28c6f50de31578cfaa24a, 0x0057db], - ), - F::from_limbs( - [0xa60a12a7fafe3326945a8982257a8c, 0x56b1edc476b1082be230899d88c0b8, 0x002d3f], - ), - F::from_limbs( - [0x1799f058035dcbd96ba5757dda8575, 0x50a13bd906972b0df5d780044f449b, 0x0046ae], - ), - F::from_limbs( - [0xeb5269e06340da74ad6f23b8331b7d, 0x812e1d221ea3c3d27fdf06de69822a, 0x00081d], - ), - F::from_limbs( - [0xd251991f9b1b248b5290db47cce484, 0x26250c7b5ea46f67582902c36e8328, 0x006bd0], - ), - F::from_limbs( - [0x5d72906ae5974656402311a3c88c0d, 0x20bdebb8c529b77a75fbc3e63a6bd7, 0x0060c5], - ), - F::from_limbs( - [0x6031729518c4b8a9bfdced5c3773f4, 0x86953de4b81e7bbf620c45bb9d997c, 0x001328], - ), - F::from_limbs( - [0x8ae0d36eaa8ceeb0ec520770f54dd3, 0x051ba804583083d632fb1caac7277b, 0x005e0e], - ), - F::from_limbs( - [0x32c32f9153cf104f13adf78f0ab22e, 0xa23781992517af63a50cecf710ddd8, 0x0015df], - ), - F::from_limbs( - [0x70ca1a6b232d5316951ae5ab0e6a4c, 0x0e9a156bfcdfe7a10eedb8e7072c92, 0x000599], - ), - F::from_limbs( - [0x4cd9e894db2eabe96ae51954f195b5, 0x98b9143180684b98c91a50bad0d8c1, 0x006e54], - ), - F::from_limbs( - [0x0f8c6a786fe9e866941a14b23a4155, 0x871fec91df9e50d66999b7f71ecb85, 0x00260d], - ), - F::from_limbs( - [0xae1798878e7216996be5ea4dc5beac, 0x20333d0b9da9e2636e6e51aab939ce, 0x004de0], - ), - F::from_limbs( - [0x728f805725223905648a06d5bf4779, 0x9f15f40745862c463c0f6c15f45234, 0x000eac], - ), - F::from_limbs( - [0x4b1482a8d939c5fa9b75f82a40b888, 0x083d359637c206f39bf89d8be3b31f, 0x006541], - ), - F::from_limbs( - [0xb10938a76e2590378e47a78cb232a2, 0x99c93e92dfca58c7a298d7828572ca, 0x000550], - ), - F::from_limbs( - [0x0c9aca5890366ec871b857734dcd5f, 0x0d89eb0a9d7dda72356f321f529289, 0x006e9d], - ), - F::from_limbs( - [0xe83b231555ac35ead6a82181c19293, 0xa2397a7ac4814435fb53a4ff017529, 0x001f23], - ), - F::from_limbs( - [0xd568dfeaa8afc9152957dd7e3e6d6e, 0x0519af22b8c6ef03dcb464a2d69029, 0x0054ca], - ), - F::from_limbs( - [0x6f49efba092206bec4af45a3dd836a, 0x8a349d98ba5804e0a5947115d93a2f, 0x005569], - ), - F::from_limbs( - [0x4e5a1345f539f8413b50b95c227c97, 0x1d1e8c04c2f02e593273988bfecb24, 0x001e84], - ), - F::from_limbs( - [0x1b702ad51911966e554ba438256c09, 0x4d7122d117efeb680de72cff169011, 0x006daa], - ), - F::from_limbs( - [0xa233d82ae54a6891aab45ac7da93f8, 0x59e206cc655847d1ca20dca2c17542, 0x000643], - ), - F::from_limbs( - [0x3bc1e33db1fabde67e9726e2110a9f, 0x5bf26247526e599fab5a4a1e19cff4, 0x0047a4], - ), - F::from_limbs( - [0x81e21fc24c6141198168d81deef562, 0x4b60c7562ad9d99a2cadbf83be355f, 0x002c49], - ), - F::from_limbs( - [0x92dc9c9ab9a192a42416165d386af9, 0x2e6ad1aa805d875c182d7bfe77cc17, 0x0035b9], - ), - F::from_limbs( - [0x2ac7666544ba6c5bdbe9e8a2c79508, 0x78e857f2fceaabddbfda8da360393c, 0x003e34], - ), - F::from_limbs( - [0xdbf9d401389e118356c2dfd4542a7e, 0x1beb3356e7eac8b5c49358e42cc261, 0x005d40], - ), - F::from_limbs( - [0xe1aa2efec5bded7ca93d1f2babd583, 0x8b67f646955d6a841374b0bdab42f1, 0x0016ad], - ), - F::from_limbs( - [0xde093f86dc82aee638c24bfb618f3f, 0xcc695696e15f33b6703722957141dc, 0x004b57], - ), - F::from_limbs( - [0xdf9ac37921d95019c73db3049e70c2, 0xdae9d3069be8ff8367d0e70c66c376, 0x002895], - ), - F::from_limbs( - [0x43cf43b8a4fea9a6910d41d80997d6, 0xb89955f3ac075693ab26c50bb8772e, 0x001b0a], - ), - F::from_limbs( - [0x79d4bf47595d55596ef2bd27f6682b, 0xeeb9d3a9d140dca62ce144961f8e25, 0x0058e2], - ), - F::from_limbs( - [0x6df74788bfddf547809a0593c52c29, 0x6e3537a8223b30a23b5534d53e7afc, 0x004be8], - ), - F::from_limbs( - [0x4facbb773e7e09b87f65f96c3ad3d8, 0x391df1f55b0d02979cb2d4cc998a57, 0x002805], - ), - F::from_limbs( - [0xecbebc0bb2bede8728abb983c104a2, 0xd259c48b91eaa8064226f6054683bc, 0x003083], - ), - F::from_limbs( - [0xd0e546f44b9d2078d754457c3efb5f, 0xd4f96511eb5d8b3395e1139c918196, 0x004369], - ), - F::from_limbs( - [0xd37ff2a87babb380c6c92288db9ca6, 0x72a1f9cd89124eb06d927e27a3fd9e, 0x007289], - ), - F::from_limbs( - [0xea24105782b04b7f3936dc7724635b, 0x34b12fcff435e4896a758b7a3407b4, 0x000164], - ), - F::from_limbs( - [0x3a7585c54ec264e3ee86325ff52f02, 0x34796ea0382b31d08ef46443e548e5, 0x000b97], - ), - F::from_limbs( - [0x832e7d3aaf999a1c1179cca00ad0ff, 0x72d9bafd451d01694913a55df2bc6e, 0x006856], - ), - F::from_limbs( - [0x83611805de11188d9fc12803667dbf, 0xd8489d9b1d2b7d981b5cc7400d058a, 0x00668c], - ), - F::from_limbs( - [0x3a42eafa204ae672603ed6fc998242, 0xcf0a8c02601cb5a1bcab4261caffc9, 0x000d60], - ), - F::from_limbs( - [0x6ace9eee636cfea106cdd2093221c4, 0x25a27aaf423e560d8375b9f57ddb5f, 0x004164], - ), - F::from_limbs( - [0x52d564119aef005ef9322cf6cdde3d, 0x81b0aeee3b09dd2c54924fac5a29f4, 0x003289], - ), - F::from_limbs( - [0x804da7679b1f2ab1d8a86c599c1125, 0x37ea83b297acb4d4cac9a82e460d7a, 0x000562], - ), - F::from_limbs( - [0x3d565b98633cd44e275792a663eedc, 0x6f68a5eae59b7e650d3e617391f7d9, 0x006e8b], - ), - F::from_limbs( - [0xac81ba0e9f27289accbc94269dcfed, 0xca7fe2354d973f2d66f302fd0a4109, 0x006288], - ), - F::from_limbs( - [0x112248f15f34d66533436ad9623014, 0xdcd347682fb0f40c711506a4cdc44a, 0x001164], - ), - F::from_limbs( - [0xaa925bcaf595931a976cec0c95430e, 0xf19446ee388087b66e87e6421ad7f4, 0x006e17], - ), - F::from_limbs( - [0x1311a73508c66be5689312f36abcf3, 0xb5bee2af44c7ab836980235fbd2d5f, 0x0005d5], - ), - F::from_limbs( - [0x7eebd047cbc2e51c5ec124a724f5d0, 0xf253594888ee9a00b7f8aae9ee446d, 0x0029f1], - ), - F::from_limbs( - [0x3eb832b8329919e3a13eda58db0a31, 0xb4ffd054f4599939200f5eb7e9c0e6, 0x0049fb], - ), - F::from_limbs( - [0xc3721ea6c79959350ce6a6828af90a, 0x65e4d3674be8111f4ebbffa0ac1554, 0x003f1a], - ), - F::from_limbs( - [0xfa31e45936c2a5caf319587d7506f7, 0x416e56363160221a894c0a012beffe, 0x0034d3], - ), - F::from_limbs( - [0xc955e365e603ea58bb2d6aa83247db, 0xdb61407a6cf482dcb6fbe1f248d57f, 0x006323], - ), - F::from_limbs( - [0xf44e1f9a185814a744d29457cdb826, 0xcbf1e9231053b05d210c27af8f2fd3, 0x0010c9], - ), - F::from_limbs( - [0x78a3d2d41320a58a91e7a363e4bf29, 0xf65a022ccf82e082eced9e4db37053, 0x004043], - ), - F::from_limbs( - [0x4500302beb3b59756e185b9c1b40d8, 0xb0f92770adc552b6eb1a6b54249500, 0x0033a9], - ), - F::from_limbs( - [0x51110b4d802457efc0e95192098448, 0x204ab0d2a8638e24584004aba6faa2, 0x001d4a], - ), - F::from_limbs( - [0x6c92f7b27e37a7103f16ad6df67bb9, 0x870878cad4e4a5157fc804f6310ab1, 0x0056a3], - ), - F::from_limbs( - [0xa76cbd7137e6f47e6e58015540096f, 0x17e3d47a499280db319a950d9b3877, 0x0024f7], - ), - F::from_limbs( - [0x1637458ec6750a8191a7fdaabff692, 0x8f6f552333b5b25ea66d74943cccdc, 0x004ef6], - ), - F::from_limbs( - [0x46cc3132ae68b8a5f2cc3b6ce6684c, 0xaeefe26d6d67ed111551f5aecd91b5, 0x006694], - ), - F::from_limbs( - [0x76d7d1cd4ff3465a0d33c3931997b5, 0xf86347300fe04628c2b613f30a739e, 0x000d58], - ), - F::from_limbs( - [0x356ebb9037c6036cf0c644e1105fba, 0xe6ce8ff225aa86da51c04c9130a03f, 0x005271], - ), - F::from_limbs( - [0x8835476fc695fb930f39ba1eefa047, 0xc08499ab579dac5f8647bd10a76514, 0x00217b], - ), - F::from_limbs( - [0x71972107f75956b53875e0be421d2a, 0xbd4090207fe16c1f9ade683c154e89, 0x0071bc], - ), - F::from_limbs( - [0x4c0ce1f80702a84ac78a1e41bde2d7, 0xea12997cfd66c71a3d29a165c2b6ca, 0x000230], - ), - F::from_limbs( - [0x62cc3eb2ba6bc6f7b5e5dc5beed42f, 0x4302c5125319ab5b6b747430015857, 0x0067d1], - ), - F::from_limbs( - [0x5ad7c44d43f038084a1a22a4112bd2, 0x6450648b2a2e87de6c939571d6acfc, 0x000c1c], - ), - F::from_limbs( - [0x4ded5e86515588409b42a1c622af82, 0xc18924c9ff6195534d6b669470a21f, 0x006db9], - ), - F::from_limbs( - [0x6fb6a479ad0676bf64bd5d39dd507f, 0xe5ca04d37de69de68a9ca30d676334, 0x000633], - ), - F::from_limbs( - [0xf940aaef199513b2942e1e96335b6e, 0x9fb0976b417260510ce0bd3d0820c3, 0x004908], - ), - F::from_limbs( - [0xc4635810e4c6eb4d6bd1e069cca493, 0x07a292323bd5d2e8cb274c64cfe48f, 0x002ae5], - ), - F::from_limbs( - [0x99f96384bc107506288c5822ce5a85, 0x472aaaaaf10a84bbb7015543f86105, 0x0031a4], - ), - F::from_limbs( - [0x23aa9f7b424b89f9d773a6dd31a57c, 0x60287ef28c3dae7e2106b45ddfa44e, 0x004249], - ), - F::from_limbs( - [0x380fc7606ef68763087e889370beba, 0xa48e895f4d79a04b607cacfddcb934, 0x0058be], - ), - F::from_limbs( - [0x85943b9f8f65779cf781766c8f4147, 0x02c4a03e2fce92ee778b5ca3fb4c1f, 0x001b2f], - ), - F::from_limbs( - [0x0d0e018ef12219eb96289ab55ac431, 0x583bb90996d418302d24d1f9482095, 0x0033d6], - ), - F::from_limbs( - [0xb09601710d39e51469d7644aa53bd0, 0x4f177093e6741b09aae337a88fe4be, 0x004017], - ), - F::from_limbs( - [0x720ee1ef0d377d0671c39b05d1219c, 0x0e3c672a9e17fe930bc21be24ae73d, 0x002bb2], - ), - F::from_limbs( - [0x4b952110f12481f98e3c63fa2ede65, 0x9916c272df3034a6cc45edbf8d1e16, 0x00483b], - ), - F::from_limbs( - [0x8f937d589f241863fb1675b6ea931b, 0x1c2179e9ba67fb96c016aa69f8fe7b, 0x0010f3], - ), - F::from_limbs( - [0x2e1085a75f37e69c04e98949156ce6, 0x8b31afb3c2e037a317f15f37df06d8, 0x0062fa], - ), - F::from_limbs( - [0x56e00d5f1e00882902252fc85dc59c, 0x3e901ee55f3ead151e1a9ffea6d1e0, 0x0020d7], - ), - F::from_limbs( - [0x66c3f5a0e05b76d6fddacf37a23a65, 0x68c30ab81e098624b9ed69a3313373, 0x005316], - ), - F::from_limbs( - [0xbc23b54455eb4351ac2ebbbbf58f0f, 0x9056fb6c09d687252eb8459705938c, 0x001765], - ), - F::from_limbs( - [0x01804dbba870bbae53d143440a70f2, 0x16fc2e317371ac14a94fc40ad271c7, 0x005c88], - ), - F::from_limbs( - [0x93c6b06754a128dff1056cfd5ec865, 0xf74df5e016d7a53f6b08885f52e784, 0x005e2a], - ), - F::from_limbs( - [0x29dd5298a9bad6200efa9202a1379c, 0xb00533bd66708dfa6cff8142851dcf, 0x0015c2], - ), - F::from_limbs( - [0x41d2f6c7f8a9395717a8e61423c05b, 0x3d0053a77263e322f86bf6d0dc3924, 0x0048ae], - ), - F::from_limbs( - [0x7bd10c3805b2c5a8e85718ebdc3fa6, 0x6a52d5f60ae45016df9c12d0fbcc2f, 0x002b3f], - ), - F::from_limbs( - [0x709eafc06c4ff19ad80a4b7b416ac5, 0x298eec226cfaea1765007c50fae425, 0x0031fc], - ), - F::from_limbs( - [0x4d05533f920c0d6527f5b384be953c, 0x7dc43d7b104d492273078d50dd212e, 0x0041f1], - ), - F::from_limbs( - [0x69099c2b782691822141c76792a203, 0x0bdedfe0d19fff137b4c5c01b22f1a, 0x003789], - ), - F::from_limbs( - [0x549a66d486356d7ddebe37986d5dfe, 0x9b7449bcaba834265cbbada025d639, 0x003c64], - ), - F::from_limbs( - [0x09b329fa1577ff554c99286208dfee, 0x6776f189910ff3a606914c38247b25, 0x005a7f], - ), - F::from_limbs( - [0xb3f0d905e8e3ffaab366d69df72013, 0x3fdc3813ec383f93d176bd69b38a2e, 0x00196e], - ), - F::from_limbs( - [0x24accfa767b8cf3d2cac8d90592e9c, 0xb0bff695f8bb1988ea48d61b0adbd7, 0x002e0c], - ), - F::from_limbs( - [0x98f7335896a32fc2d353716fa6d165, 0xf6933307848d19b0edbf3386cd297c, 0x0045e0], - ), - F::from_limbs( - [0x1c7ac41146f49ac18f962c2f958a43, 0x307fb2724e316afbbe1c20bf199667, 0x0065d9], - ), - F::from_limbs( - [0xa1293eeeb767643e7069d2d06a75be, 0x76d3772b2f16c83e19ebe8e2be6eec, 0x000e14], - ), - F::from_limbs( - [0xcd5e72e6bcb06297c78f3489f706ea, 0x1ed60f08ce06aadbb17ef22557b500, 0x005a6f], - ), - F::from_limbs( - [0xf045901941ab9c683870ca7608f917, 0x887d1a94af41885e2689177c805052, 0x00197e], - ), - F::from_limbs( - [0xe6b7a3bfecde634244d4514c7912ad, 0x0cb7e84409d6c970aa662616e8b847, 0x0037f5], - ), - F::from_limbs( - [0xd6ec5f40117d9bbdbb2badb386ed54, 0x9a9b4159737169c92da1e38aef4d0b, 0x003bf8], - ), - F::from_limbs( - [0x209b1c1b82cb497c47ca08d92d3855, 0x585dfc3bb27bf4ec94f6914ed44415, 0x000f94], - ), - F::from_limbs( - [0x9d08e6e47b90b583b835f626d2c7ac, 0x4ef52d61cacc3e4d4311785303c13e, 0x006459], - ), - F::from_limbs( - [0x0c3761f18348336e42f959081acdf7, 0xc7e6d1ada8b1413bf7a2546e4b2a2c, 0x0025f0], - ), - F::from_limbs( - [0xb16ca10e7b13cb91bd06a5f7e5320a, 0xdf6c57efd496f1fde065b5338cdb27, 0x004dfc], - ), - F::from_limbs( - [0xbd040be90c1f098bdfa8f11646bfd6, 0x43d46fcb1be37348df13ad0c2a5b55, 0x0010e9], - ), - F::from_limbs( - [0x009ff716f23cf57420570de9b9402b, 0x637eb9d26164bff0f8f45c95ada9fe, 0x006304], - ), - F::from_limbs( - [0x1d9aa77779df363215065a4e6c2abd, 0xc6a057415d04ff53233bd8fbdd0586, 0x004fa4], - ), - F::from_limbs( - [0xa0095b88847cc8cdeaf9a4b193d544, 0xe0b2d25c204333e6b4cc30a5faffcd, 0x002448], - ), - F::from_limbs( - [0x9cb31f0b9200b0648ac18a60c7b419, 0xedbddad8c9ed9ccc28ba8ce12efb12, 0x001deb], - ), - F::from_limbs( - [0x20f0e3f46c5b4e9b753e749f384be8, 0xb9954ec4b35a966daf4d7cc0a90a41, 0x005601], - ), - F::from_limbs( - [0x2e713efdc506192c3fd2500d74ed6a, 0xf5c94a9135d4738d8393fd1f618fcf, 0x005a3e], - ), - F::from_limbs( - [0x8f32c4023955e5d3c02daef28b1297, 0xb189df0c4773bfac54740c82767584, 0x0019ae], - ), - F::from_limbs( - [0x019f2521aea11163fdb1347e6d3c9b, 0xa3738160674ee6d82b9f88354b2359, 0x0015f0], - ), - F::from_limbs( - [0xbc04ddde4fbaed9c024eca8192c366, 0x03dfa83d15f94c61ac68816c8ce1fa, 0x005dfd], - ), - F::from_limbs( - [0x92fda99d579539f60c1d8e32539eed, 0x186ff76aea8fd621c79e7166b7c3ef, 0x004354], - ), - F::from_limbs( - [0x2aa65962a6c6c509f3e270cdac6114, 0x8ee3323292b85d181069983b204164, 0x003099], - ), - F::from_limbs( - [0x4724fc91e126a038f88846a27a42f1, 0x67d8299d6a032639726942cb41b3ab, 0x006903], - ), - F::from_limbs( - [0x767f066e1d355ec70777b85d85bd10, 0x3f7b000013450d00659ec6d69651a8, 0x000aea], - ), - F::from_limbs( - [0x36b2bbef5d95fb7d47e495b596c9e9, 0x7f053989ebbecb783501b9ec0fc922, 0x0073b2], - ), - F::from_limbs( - [0x86f14710a0c60382b81b694a693618, 0x284df013918967c1a3064fb5c83c31, 0x00003b], - ), - F::from_limbs( - [0xb23ca83d927621d3100b451544eeb2, 0xab0cf321b5b87b7be0e951d31d980f, 0x0001eb], - ), - F::from_limbs( - [0x0b675ac26be5dd2ceff4b9eabb114f, 0xfc46367bc78fb7bdf71eb7ceba6d44, 0x007201], - ), - F::from_limbs( - [0x55d00501e227d8804bf625d398d145, 0x32372fc6312f124acc1f42547e59ea, 0x005032], - ), - F::from_limbs( - [0x67d3fdfe1c34267fb409d92c672ebc, 0x751bf9d74c1920ef0be8c74d59ab69, 0x0023bb], - ), - F::from_limbs( - [0x179e352fd65140abe985536de528a4, 0xcebd48220fe6df7882f59ab9abc5a7, 0x000597], - ), - F::from_limbs( - [0xa605cdd0280abe54167aab921ad75d, 0xd895e17b6d6153c155126ee82c3fac, 0x006e55], - ), - F::from_limbs( - [0x6468c1fc0bd98bc3f6e8b28be3db63, 0x7ef3b4556ef6d679aecad160dc2576, 0x00313f], - ), - F::from_limbs( - [0x593b4103f282733c09174c741c249e, 0x285f75480e515cc0293d3840fbdfdd, 0x0042ae], - ), - F::from_limbs( - [0x13470f1ab3da1ef5d61e450be78a51, 0x2f1becd5cc2934506a82aac78647b9, 0x000c05], - ), - F::from_limbs( - [0xaa5cf3e54a81e00a29e1b9f41875b0, 0x78373cc7b11efee96d855eda51bd9a, 0x0067e8], - ), - F::from_limbs( - [0x661c5aa57383f79b12c70a99339b94, 0x46dd8726ce03b8415b884acecaf444, 0x001319], - ), - F::from_limbs( - [0x5787a85a8ad80764ed38f466cc646d, 0x6075a276af447af87c7fbed30d110f, 0x0060d4], - ), - F::from_limbs( - [0xce5f9885b2f745bfa666b56d5a311a, 0x2668128e4a2bc83ba98b6857538716, 0x000a71], - ), - F::from_limbs( - [0xef446a7a4b64b94059994992a5cee7, 0x80eb170f331c6afe2e7ca14a847e3c, 0x00697c], - ), - F::from_limbs( - [0x6aed1a564c146832d3560d5be17df8, 0x52d64d9b5c2fa87d62e7251e9f9727, 0x006b68], - ), - F::from_limbs( - [0x52b6e8a9b24796cd2ca9f1a41e8209, 0x547cdc0221188abc7520e483386e2c, 0x000885], - ), - F::from_limbs( - [0xd812068ac8f3657b45e33be2652de0, 0x309990b78e6f19be2ed4aae8454f92, 0x00411b], - ), - F::from_limbs( - [0xe591fc7535689984ba1cc31d9ad221, 0x76b998e5eed9197ba9335eb992b5c0, 0x0032d2], - ), - F::from_limbs( - [0xbd51462129070533c31b718832f5e8, 0x19426e03b06186e1de604ed007c9b0, 0x006903], - ), - F::from_limbs( - [0x0052bcded554f9cc3ce48d77cd0a19, 0x8e10bb99cce6ac57f9a7bad1d03ba3, 0x000aea], - ), - F::from_limbs( - [0x55d8768e908ff925fd2d98cb6dbbee, 0x8db0c855debd836ab3062d9fa9d8d9, 0x00547a], - ), - F::from_limbs( - [0x67cb8c716dcc05da02d26634924413, 0x19a261479e8aafcf2501dc022e2c7a, 0x001f73], - ), - F::from_limbs( - [0x8e0ba527eca417365149025f015d1e, 0xc3152df73f24a32669617e74f15ae1, 0x0070fc], - ), - F::from_limbs( - [0x2f985dd811b7e7c9aeb6fca0fea2e3, 0xe43dfba63e2390136ea68b2ce6aa72, 0x0002f0], - ), - F::from_limbs( - [0x8275c394add2deae53a0e275fd0cf4, 0x7b2aeb5230fa2c195afbea2192bd19, 0x00702f], - ), - F::from_limbs( - [0x3b2e3f6b50892051ac5f1c8a02f30d, 0x2c283e4b4c4e07207d0c1f8045483a, 0x0003be], - ), - F::from_limbs( - [0xb3c3d1d51852439775462cfb15928e, 0x5b03ee8a9e0c240a6ba7523bd51940, 0x00068f], - ), - F::from_limbs( - [0x09e0312ae609bb688ab9d204ea6d73, 0x4c4f3b12df3c0f2f6c60b76602ec13, 0x006d5e], - ), - F::from_limbs( - [0x2b5f0db0dd8f62428bf3d065323436, 0x3195598a28d8092bd18a7ee24d2161, 0x0001e3], - ), - F::from_limbs( - [0x9244f54f20cc9cbd740c2e9acdcbcb, 0x75bdd01354702a0e067d8abf8ae3f2, 0x00720a], - ), - F::from_limbs( - [0x9df86f28195171f1fe341312f98924, 0x54eb6b36c54b9602ae7a61023ae791, 0x0031b3], - ), - F::from_limbs( - [0x1fab93d7e50a8d0e01cbebed0676dd, 0x5267be66b7fc9d37298da89f9d1dc2, 0x00423a], - ), - F::from_limbs( - [0x32e14ea5c65fd882f06ddfe57fb749, 0xa4854293013e6b346b4a4b01e810da, 0x00109a], - ), - F::from_limbs( - [0x8ac2b45a37fc267d0f921f1a8048b8, 0x02cde70a7c09c8056cbdbe9feff479, 0x006353], - ), - F::from_limbs( - [0x423c71ad2b0dfa572131cee36007fa, 0x33b9c1df4ffd1b118bfbe33bd251a0, 0x001467], - ), - F::from_limbs( - [0x7b679152d34e04a8dece301c9ff807, 0x739967be2d4b18284c0c266605b3b3, 0x005f86], - ), - F::from_limbs( - [0x4312ad66d4b7e90d2b6da17aab81c3, 0xe4da640bbaac82fcb1b1e258caf7f7, 0x00218a], - ), - F::from_limbs( - [0x7a91559929a415f2d4925d85547e3e, 0xc278c591c29bb03d265627490d0d5c, 0x005262], - ), - F::from_limbs( - [0x7b3c07432c4bb846d7751759b82258, 0xbcb86c65c99f9735bdebf5628898ac, 0x00653a], - ), - F::from_limbs( - [0x4267fbbcd21046b9288ae7a647dda9, 0xea9abd37b3a89c041a1c143f4f6ca7, 0x000eb2], - ), - F::from_limbs( - [0x9ce7c297ab8d54db615b721e6888d5, 0x889f6574f553a2a6da1423fa9a8a78, 0x002313], - ), - F::from_limbs( - [0x20bc406852ceaa249ea48ce197772c, 0x1eb3c42887f49092fdf3e5a73d7adb, 0x0050da], - ), - F::from_limbs( - [0x73546ee70933efffe30ef5a9528edd, 0x0e58e6c6cf02feb911dc3dad3a3bad, 0x0054bc], - ), - F::from_limbs( - [0x4a4f9418f5280f001cf10956ad7124, 0x98fa42d6ae453480c62bcbf49dc9a6, 0x001f31], - ), - F::from_limbs( - [0x4b743731d6de69caf95626573b849e, 0x7b4eac93969def71980219544f4fd8, 0x0017e4], - ), - F::from_limbs( - [0x722fcbce277d953506a9d8a8c47b63, 0x2c047d09e6aa43c84005f04d88b57b, 0x005c09], - ), - F::from_limbs( - [0x76809182ba32c095d44706ae689c0c, 0xa9f46ae7f49b8041bad9d23de711f3, 0x0070d4], - ), - F::from_limbs( - [0x4723717d44293e6a2bb8f8519763f5, 0xfd5ebeb588acb2f81d2e3763f0f360, 0x000318], - ), - F::from_limbs( - [0x4311151b41f2e4a8b188dd1a6a4bf6, 0x66fd2e6a621ba27d46e4e6ebaaab28, 0x002920], - ), - F::from_limbs( - [0x7a92ede4bc691a574e7721e595b40b, 0x4055fb331b2c90bc912322b62d5a2b, 0x004acd], - ), - F::from_limbs( - [0x5cb240f458a0411af937dd7884b5bd, 0x5c392742ebcb8eda0f11c5920ab794, 0x004c46], - ), - F::from_limbs( - [0x60f1c20ba5bbbde506c821877b4a44, 0x4b1a025a917ca45fc8f6440fcd4dbf, 0x0027a7], - ), - F::from_limbs( - [0x6b26bf3a5b9cedc4de75f89a010b97, 0x7787223bc8fc5a52f2e3933f823d47, 0x006a5b], - ), - F::from_limbs( - [0x527d43c5a2bf113b218a0665fef46a, 0x2fcc0761b44bd8e6e524766255c80c, 0x000992], - ), - F::from_limbs( - [0x906daf54262b5a6d913c8a21d61a14, 0xfd20ce3f8b5ded02bf205d2103eac1, 0x00646e], - ), - F::from_limbs( - [0x2d3653abd830a4926ec374de29e5ed, 0xaa325b5df1ea463718e7ac80d41a92, 0x000f7e], - ), - F::from_limbs( - [0xd3fa076900a2701dc2e8ce1a0001e5, 0x8a061c5504e40c9c6d744ce76f9570, 0x004bae], - ), - F::from_limbs( - [0xe9a9fb96fdb98ee23d1730e5fffe1c, 0x1d4d0d487864269d6a93bcba686fe2, 0x00283f], - ), - F::from_limbs( - [0x841ffb42a9153d71f0aca0022c86e0, 0x0b4a3128782aad8b75eeb88658b3d3, 0x002b1f], - ), - F::from_limbs( - [0x398407bd5546c18e0f535efdd37921, 0x9c08f875051d85ae6219511b7f5180, 0x0048ce], - ), - F::from_limbs( - [0x328f11d9cdf877394e8363ac674b29, 0xfea00f8d24bf97d28a6cca10529e21, 0x004b21], - ), - F::from_limbs( - [0x8b14f126306387c6b17c9b5398b4d8, 0xa8b31a1058889b674d9b3f91856732, 0x0028cb], - ), - F::from_limbs( - [0x535ba390e22a934f2887da7a4613ac, 0x146fc82c471d6006a526adeef61511, 0x005d2c], - ), - F::from_limbs( - [0x6a485f6f1c316bb0d7782485b9ec55, 0x92e36171362ad33332e15bb2e1f042, 0x0016c1], - ), - F::from_limbs( - [0xe632049f8464426c8b9b2bf815aad7, 0x48ccf85251fc944d705267aef07995, 0x002fe5], - ), - F::from_limbs( - [0xd771fe6079f7bc937464d307ea552a, 0x5e86314b2b4b9eec67b5a1f2e78bbd, 0x004408], - ), - F::from_limbs( - [0xe3f58397fa59ca7ee8c97459708936, 0x49b450f7e1001fbfe1fc8d8a0d5fe7, 0x007294], - ), - F::from_limbs( - [0xd9ae7f680402348117368aa68f76cb, 0x5d9ed8a59c481379f60b7c17caa56b, 0x000159], - ), - F::from_limbs( - [0x9de328231391765bc4f547e17fae04, 0x7ae3db865ba7714dcc8e32350736c2, 0x002d93], - ), - F::from_limbs( - [0x1fc0dadceaca88a43b0ab71e8051fd, 0x2c6f4e1721a0c1ec0b79d76cd0ce91, 0x00465a], - ), - F::from_limbs( - [0x99e982481eb187c638ab874c146c0a, 0x850021892f6b10f3be96e9d4669892, 0x001b04], - ), - F::from_limbs( - [0x23ba80b7dfaa7739c75477b3eb93f7, 0x225308144ddd224619711fcd716cc1, 0x0058e9], - ), - F::from_limbs( - [0x22968828352a6e3f4bf52554d38e6f, 0xf1c7a7718e251607c0636d7990d68f, 0x00262a], - ), - F::from_limbs( - [0x9b0d7ad7c93190c0b40ad9ab2c7192, 0xb58b822bef231d3217a49c28472ec4, 0x004dc2], - ), - F::from_limbs( - [0x19d4b2a482d2fbc23c6ee8ac5a4aaf, 0xc9aafb60bcbac15b96d0a2f553f4e4, 0x002d95], - ), - F::from_limbs( - [0xa3cf505b7b89033dc3911653a5b552, 0xdda82e3cc08d71de413766ac84106f, 0x004657], - ), - F::from_limbs( - [0x9ac76eb653b8077d5feb370589ddcd, 0x1cea5e2d9df0734149137047b1786e, 0x003b8c], - ), - F::from_limbs( - [0x22dc9449aaa3f782a014c7fa762234, 0x8a68cb6fdf57bff88ef4995a268ce5, 0x003861], - ), - F::from_limbs( - [0x6ea99bee92c793b2126ee2e55d5b7b, 0x532503b950c74c9db999b77bc95b13, 0x006efd], - ), - F::from_limbs( - [0x4efa67116b946b4ded911c1aa2a486, 0x542e25e42c80e69c1e6e52260eaa40, 0x0004f0], - ), - F::from_limbs( - [0x4abd405dd655c9caba576e317c51c0, 0x5b7f47d7e3dde00b481b539b58b533, 0x006e5f], - ), - F::from_limbs( - [0x72e6c2a22806353545a890ce83ae41, 0x4bd3e1c5996a532e8fecb6067f5020, 0x00058e], - ), - F::from_limbs( - [0x231f19c71e8773da6453c4f956b91c, 0x019aedcb1f56b52853da3777fcc872, 0x000eaf], - ), - F::from_limbs( - [0x9a84e938dfd48b259bac3a06a946e5, 0xa5b83bd25df17e11842dd229db3ce1, 0x00653e], - ), - F::from_limbs( - [0x19668a6e56d866fa44b2cf5ea9ce3e, 0x3a4b78ab5c819959f3c1dbce24dcb2, 0x00567a], - ), - F::from_limbs( - [0xa43d7891a7839805bb4d2fa15631c3, 0x6d07b0f220c699dfe4462dd3b328a1, 0x001d73], - ), - F::from_limbs( - [0x8fc3ecb74d2370818a195b4030b82d, 0xda607fd657b1ecc589fe94d902934c, 0x002c8e], - ), - F::from_limbs( - [0x2de01648b1388e7e75e6a3bfcf47d4, 0xccf2a9c7259646744e0974c8d57207, 0x00475e], - ), - F::from_limbs( - [0x8586ae1f584b84c709f7cddb49aefe, 0x9d29782d7022884ec5a8cd2669f7cc, 0x0019fa], - ), - F::from_limbs( - [0x381d54e0a6107a38f6083124b65103, 0x0a29b1700d25aaeb125f3c7b6e0d87, 0x0059f3], - ), - F::from_limbs( - [0x97551d7eb479316903092c74d1b363, 0xc0dfcf0eae86c2b3ee68881b3131e8, 0x004b0e], - ), - F::from_limbs( - [0x264ee58149e2cd96fcf6d28b2e4c9e, 0xe6735a8ecec17085e99f8186a6d36b, 0x0028de], - ), - F::from_limbs( - [0x8f79025062832db2e14ff671c966ca, 0x39d976a5cc746815ff2c5df25e4c4b, 0x00500c], - ), - F::from_limbs( - [0x2e2b00af9bd8d14d1eb0088e369937, 0x6d79b2f7b0d3cb23d8dbabaf79b908, 0x0023e1], - ), - F::from_limbs( - [0x9d16dab72c6ea893501f19a2ae9b40, 0x9285f4b67ba0714fb14e35f116982e, 0x003c74], - ), - F::from_limbs( - [0x208d2848d1ed566cafe0e55d5164c1, 0x14cd34e701a7c1ea26b9d3b0c16d25, 0x003779], - ), - F::from_limbs( - [0x376a86c53fbaa0e7b0f84cf1693a6c, 0xd3d2ca0f2c04501eff841f6ad00440, 0x005f25], - ), - F::from_limbs( - [0x86397c3abea15e184f07b20e96c595, 0xd3805f8e5143e31ad883ea37080113, 0x0014c7], - ), - F::from_limbs( - [0xcfc741b88a6d90351e7a72117b4660, 0xbefa63943b3c9fb623bd7d8f468827, 0x00235e], - ), - F::from_limbs( - [0xeddcc14773ee6ecae1858cee84b9a1, 0xe858c609420b9383b44a8c12917d2b, 0x00508e], - ), - F::from_limbs( - [0x73d6ebd3f2d04ebd818c79e9b418c3, 0xa89d6917cf356fb52776257e47f6bd, 0x006d9c], - ), - F::from_limbs( - [0x49cd172c0b8bb0427e7385164be73e, 0xfeb5c085ae12c384b091e423900e96, 0x000650], - ), - F::from_limbs( - [0xcbed26a10189725865f49cae84c1f0, 0x51abf2ff1a7ac214f8af079281e8c2, 0x001c89], - ), - F::from_limbs( - [0xf1b6dc5efcd28ca79a0b62517b3e11, 0x55a7369e62cd7124df59020f561c90, 0x005764], - ), - F::from_limbs( - [0x5c2a2517ea29380d784d83532d58a4, 0xe5bdc2f376ef3fbfaf7cf36c98f23c, 0x002acb], - ), - F::from_limbs( - [0x6179dde81432c6f287b27bacd2a75d, 0xc19566aa0658f37a288b16353f1317, 0x004921], - ), - F::from_limbs( - [0x0c396a9fa67ea67e2a604403076877, 0xa9395cb8d476fab39024f46a4961d9, 0x003334], - ), - F::from_limbs( - [0xb16a986057dd5881d59fbafcf8978a, 0xfe19cce4a8d1388647e315378ea37a, 0x0040b8], - ), - F::from_limbs( - [0x659be0bb7e781e96ab11c20e5ad151, 0xbf9e4612a7a04b853daeb5686a7f1f, 0x005f0e], - ), - F::from_limbs( - [0x580822447fe3e06954ee3cf1a52eb0, 0xe7b4e38ad5a7e7b49a5954396d8634, 0x0014de], - ), - F::from_limbs( - [0x34af14b61e0abe74a1f6718c130477, 0x7a8bca252472eb674a1a620890d7a5, 0x004352], - ), - F::from_limbs( - [0x88f4ee49e051408b5e098d73ecfb8a, 0x2cc75f7858d547d28deda799472dae, 0x00309b], - ), - F::from_limbs( - [0x986d4f948654a8ddccfd2991cb1cc7, 0x529d1d76d858cc6ba0596eae27c4e4, 0x003b18], - ), - F::from_limbs( - [0x2536b36b780756223302d56e34e33a, 0x54b60c26a4ef66ce37ae9af3b0406f, 0x0038d5], - ), - F::from_limbs( - [0x9da80dc7ef9f0f200b5775cb7c7f34, 0xada04d5e74819262a96d0a5549b5f1, 0x000679], - ), - F::from_limbs( - [0x1ffbf5380ebcefdff4a889348380cd, 0xf9b2dc3f08c6a0d72e9aff4c8e4f62, 0x006d73], - ), - F::from_limbs( - [0x8076a04042fa6a4ae23d4887732cc7, 0x84efe7a91e54c20ba6c40efc806c85, 0x005327], - ), - F::from_limbs( - [0x3d2d62bfbb6194b51dc2b6788cd33a, 0x226341f45ef3712e3143faa55798ce, 0x0020c6], - ), - F::from_limbs( - [0xad338dc96b53f06d9bd93caef95435, 0x46d16b0ded487a772571e97d5605ea, 0x004ac4], - ), - F::from_limbs( - [0x1070753693080e926426c25106abcc, 0x6081be8f8fffb8c2b296202481ff69, 0x002929], - ), - F::from_limbs( - [0x640ded94a2153f4f3cf1b82d878f30, 0x620c501b6d5b34b1fe426ba069ee6f, 0x000904], - ), - F::from_limbs( - [0x5996156b5c46bfb0c30e46d27870d1, 0x4546d9820fecfe87d9c59e016e16e4, 0x006ae9], - ), - F::from_limbs( - [0x3fcc8fbece3ff36832c0e6cf2383d0, 0xb5ed3c6c5168d7a5b570137a2c4e8f, 0x0030a3], - ), - F::from_limbs( - [0x7dd77341301c0b97cd3f1830dc7c31, 0xf165ed312bdf5b942297f627abb6c4, 0x004349], - ), - F::from_limbs( - [0x950b898168358f10a2ea8dd9532d0b, 0x3fa6331dc12669b74e8a5f93d55dda, 0x0043a1], - ), - F::from_limbs( - [0x2898797e96266fef5d157126acd2f6, 0x67acf67fbc21c982897daa0e02a779, 0x00304c], - ), - F::from_limbs( - [0x87dd867c2846dfcc3b7f324100ce0b, 0xdd9346337dff0ec770162a016a73c0, 0x000934], - ), - F::from_limbs( - [0x35c67c83d6151f33c480ccbeff31f6, 0xc9bfe369ff49247267f1dfa06d9193, 0x006ab8], - ), - F::from_limbs( - [0xea948838d3a59e714fe5f9a319f08b, 0xd9b9e9bc0a45bca442260d0f5cc781, 0x0019ff], - ), - F::from_limbs( - [0xd30f7ac72ab6608eb01a055ce60f76, 0xcd993fe17302769595e1fc927b3dd1, 0x0059ed], - ), - F::from_limbs( - [0x42eaa33c21a6c3f8e855b7ca48e223, 0x2a883802cf8d5e7aadc120761b2157, 0x001430], - ), - F::from_limbs( - [0x7ab95fc3dcb53b0717aa4735b71dde, 0x7ccaf19aadbad4bf2a46e92bbce3fc, 0x005fbd], - ), - F::from_limbs( - [0xea26e3e861e9a6f03205e4801f0670, 0x521b43809c6f413f091a0442fe3b0a, 0x0057e2], - ), - F::from_limbs( - [0xd37d1f179c72580fcdfa1a7fe0f991, 0x5537e61ce0d8f1faceee055ed9ca48, 0x001c0b], - ), - F::from_limbs( - [0x888aca5f2cf18937eb9c08a6bad0a5, 0xb368c1bd3ec3d9a4667dbe97b7466b, 0x006c24], - ), - F::from_limbs( - [0x351938a0d16a75c81463f659452f5c, 0xf3ea67e03e845995718a4b0a20bee8, 0x0007c8], - ), - F::from_limbs( - [0xca463738abfdcceae6f7f2c97f6ddc, 0x37a8bdb046c980f6c206144132a757, 0x0053ca], - ), - F::from_limbs( - [0xf35dcbc7525e321519080c36809225, 0x6faa6bed367eb2431601f560a55dfb, 0x002023], - ), - F::from_limbs( - [0x33e248bb1c34f3d3daea56ba7f16a9, 0xf0818c66f93206930810c8ebd7cf6f, 0x002c56], - ), - F::from_limbs( - [0x89c1ba44e2270b2c2515a84580e958, 0xb6d19d3684162ca6cff740b60035e4, 0x004796], - ), - F::from_limbs( - [0xfa342f2e54d35b3efaf03e1f4c23a5, 0x4ed170bf21bac2867ad9bd62474fc4, 0x00426e], - ), - F::from_limbs( - [0xc36fd3d1a988a3c1050fc0e0b3dc5c, 0x5881b8de5b8d70b35d2e4c3f90b58e, 0x00317f], - ), - F::from_limbs( - [0xee7464cc2693acc7f2b0c7f97d0157, 0xcd54ee73a12d5a25364bab696dd707, 0x0044f2], - ), - F::from_limbs( - [0xcf2f9e33d7c852380d4f370682feaa, 0xd9fe3b29dc1ad914a1bc5e386a2e4b, 0x002efa], - ), - F::from_limbs( - [0x09bb3a7eed94b5ee1cb6e72b82c6d1, 0x2cf9a0599655f39dd358a82382f466, 0x002a3b], - ), - F::from_limbs( - [0xb3e8c88110c74911e34917d47d3930, 0x7a598943e6f23f9c04af617e5510ed, 0x0049b2], - ), - F::from_limbs( - [0xded1798f001c83984bae2ba9e576ec, 0x56ee3af2ac38ca85bda4670d2c2307, 0x000975], - ), - F::from_limbs( - [0xded28970fe3f7b67b451d3561a8915, 0x5064eeaad10f68b41a63a294abe24b, 0x006a78], - ), - F::from_limbs( - [0x4dc75cbe09f501a0b24ec3dca1f2ce, 0x3112ac902e13ee36737d3869b66204, 0x0031e6], - ), - F::from_limbs( - [0x6fdca641f466fd5f4db13b235e0d33, 0x76407d0d4f344503648ad13821a34f, 0x004207], - ), - F::from_limbs( - [0x156add501a1c6937b11e308bf0abc8, 0x363da95355ccf81be9d7b571ce05b1, 0x003e29], - ), - F::from_limbs( - [0xa83925afe43f95c84ee1ce740f5439, 0x7115804a277b3b1dee30543009ffa2, 0x0035c4], - ), - F::from_limbs( - [0xb50c83fd1f5c0dcd6dcd1e8a6d2938, 0x647da03f2b3cd52856ab58c24f30f6, 0x0025ad], - ), - F::from_limbs( - [0x08977f02defff1329232e07592d6c9, 0x42d5895e520b5e11815cb0df88d45d, 0x004e40], - ), - F::from_limbs( - [0xa73479f853c1eb8d14b4edec527670, 0x6dce2e5ec6630aa522414c846da37a, 0x001450], - ), - F::from_limbs( - [0x166f8907aa9a1372eb4b1113ad8991, 0x3984fb3eb6e52894b5c6bd1d6a61d9, 0x005f9d], - ), - F::from_limbs( - [0xd15d8f0976f55e06f8ee5e9777964d, 0x95ea54b09d10987f4e2ce1b79388c1, 0x00413d], - ), - F::from_limbs( - [0xec4673f68766a0f90711a0688869b4, 0x1168d4ece0379aba89db27ea447c91, 0x0032b0], - ), - F::from_limbs( - [0xb6afda9637ccb788a3d4bd18e66da6, 0x518219806ce2d8c3dd1ccbc1b529ec, 0x005581], - ), - F::from_limbs( - [0x06f42869c68f47775c2b41e719925b, 0x55d1101d10655a75faeb3de022db67, 0x001e6c], - ), - F::from_limbs( - [0x991b24aa25db0e40861b826cace87f, 0x5ee79ca9436b6c1feffb1c216f70a6, 0x007149], - ), - F::from_limbs( - [0x2488de55d880f0bf79e47c93531782, 0x486b8cf439dcc719e80ced806894ad, 0x0002a4], - ), - F::from_limbs( - [0xfb90de5161d3aa0e4f9e5a6854836c, 0x7730aabeaf2707d3acaf7b7234937b, 0x000453], - ), - F::from_limbs( - [0xc21324ae9c8854f1b061a497ab7c95, 0x30227edece212b662b588e2fa371d7, 0x006f9a], - ), - F::from_limbs( - [0x514cd4e04272c008e2fb108e12e22a, 0x80e1938cd09c9a3ae5427d8e18cb54, 0x000fe6], - ), - F::from_limbs( - [0x6c572e1fbbe93ef71d04ee71ed1dd7, 0x26719610acab98fef2c58c13bf39ff, 0x006407], - ), - F::from_limbs( - [0xad623bf3402bd57a9634b25637c216, 0x449c6a67b9ed93981376c9cd141418, 0x003869], - ), - F::from_limbs( - [0x1041c70cbe30298569cb4ca9c83deb, 0x62b6bf35c35a9fa1c4913fd4c3f13b, 0x003b84], - ), - F::from_limbs( - [0xc2dfa82313ad493a3e1a7aa260077d, 0xbce2aa1625f8acb62f7f17837a2577, 0x001c25], - ), - F::from_limbs( - [0xfac45adceaaeb5c5c1e5845d9ff884, 0xea707f87574f8683a888f21e5ddfdb, 0x0057c7], - ), - F::from_limbs( - [0x1db465016aecf09e6f74084c8e85a6, 0xf3dd5bee9b24bd298bcb9b46025a18, 0x006cbe], - ), - F::from_limbs( - [0x9fef9dfe936f0e61908bf6b3717a5b, 0xb375cdaee22376104c3c6e5bd5ab3b, 0x00072e], - ), - F::from_limbs( - [0x07ba425b194f3be868c32a5b94f4e5, 0x27101520c4b2e11d3393b8d009aa2c, 0x000eba], - ), - F::from_limbs( - [0xb5e9c0a4e50cc317973cd4a46b0b1c, 0x8043147cb895521ca47450d1ce5b27, 0x006533], - ), - F::from_limbs( - [0xe5eebb2c61bfc76d8878e6c92c1964, 0x3ea3f96c0440f88cd53e4cee2d698d, 0x00507c], - ), - F::from_limbs( - [0xd7b547d39c9c379277871836d3e69d, 0x68af303179073aad02c9bcb3aa9bc5, 0x002371], - ), - F::from_limbs( - [0xcaef2e1b379cbd65f21f6521b5ffe3, 0xb92efbacec2085f75cd0394e7e1493, 0x004c10], - ), - F::from_limbs( - [0xf2b4d4e4c6bf419a0de099de4a001e, 0xee242df09127ad427b37d05359f0bf, 0x0027dc], - ), - F::from_limbs( - [0x5a90d8902f34ee2ffffbac2e990b32, 0x85e3496a299b1a2b4aad24d743792b, 0x0042ce], - ), - F::from_limbs( - [0x63132a6fcf2710d0000452d166f4cf, 0x216fe03353ad190e8d5ae4ca948c28, 0x00311f], - ), - F::from_limbs( - [0xb5b47bb725cda97ed4be029bd47ddd, 0x6e0bba848829e2af1b87209c0c0556, 0x0072af], - ), - F::from_limbs( - [0x07ef8748d88e55812b41fc642b8224, 0x39476f18f51e508abc80e905cbfffd, 0x00013e], - ), - F::from_limbs( - [0x2bafd544a199a3fe213ce3f40c2fa1, 0x01cdf2ff819eb174b778fe8e29f421, 0x00158b], - ), - F::from_limbs( - [0x91f42dbb5cc25b01dec31b0bf3d060, 0xa585369dfba981c5208f0b13ae1132, 0x005e62], - ), - F::from_limbs( - [0xe7f96676286b47c433afe4d106b43d, 0x310d4f00fee0175ca29996af2afe4e, 0x004b52], - ), - F::from_limbs( - [0xd5aa9c89d5f0b73bcc501a2ef94bc4, 0x7645da9c7e681bdd356e72f2ad0704, 0x00289b], - ), - F::from_limbs( - [0xca2c4fd11289ccc9f8090ae9106aaf, 0x72623392274a8b3b1472c4aac7b30c, 0x00586f], - ), - F::from_limbs( - [0xf377b32eebd2323607f6f416ef9552, 0x34f0f60b55fda7fec39544f7105246, 0x001b7e], - ), - F::from_limbs( - [0xddcb3aae11b4f6a83569dad6cd41e9, 0xa2a0e40b14ad3ac082ec036858c652, 0x0042cb], - ), - F::from_limbs( - [0xdfd8c851eca70857ca96242932be18, 0x04b24592689af879551c06397f3f00, 0x003122], - ), - F::from_limbs( - [0xa633eb2bd252b8f338d1145bbf0bd5, 0x83fc39549f77c4b5af9e6def1f5a2e, 0x006953], - ), - F::from_limbs( - [0x177017d42c09460cc72eeaa440f42c, 0x2356f048ddd06e8428699bb2b8ab25, 0x000a9a], - ), - F::from_limbs( - [0xcd97301b698d332256b524d8b89e8b, 0x754e6966f69b3071acf3d7805a5c41, 0x004f5b], - ), - F::from_limbs( - [0xf00cd2e494cecbdda94ada27476176, 0x3204c03686ad02c82b1432217da911, 0x002492], - ), - F::from_limbs( - [0x85f998168289ca7f2423392adae5b9, 0xd7a8d381273c1b290213873ae175d7, 0x004fd7], - ), - F::from_limbs( - [0x37aa6ae97bd23480dbdcc5d5251a48, 0xcfaa561c560c1810d5f48266f68f7c, 0x002415], - ), - F::from_limbs( - [0x461c33c1a0f0b758be078a66b064a1, 0xe1a1f2cc7087dc66f4b808f364646b, 0x0037f4], - ), - F::from_limbs( - [0x7787cf3e5d6b47a741f874994f9b60, 0xc5b136d10cc056d2e35000ae73a0e8, 0x003bf8], - ), - F::from_limbs( - [0x10344b217e61bd034fe540f385a129, 0x7149c0f9efc012a497e72294fe0d1b, 0x000151], - ), - F::from_limbs( - [0xad6fb7de7ffa41fcb01abe0c7a5ed8, 0x360968a38d8820954020e70cd9f838, 0x00729c], - ), - F::from_limbs( - [0xaa12dad03920b780c10f21710ecb97, 0x2c08ab0d493cb63fc62f04e5adaf87, 0x0038b5], - ), - F::from_limbs( - [0x1391282fc53b477f3ef0dd8ef1346a, 0x7b4a7e90340b7cfa11d904bc2a55cc, 0x003b38], - ), - F::from_limbs( - [0xc9785e4b1a161953a535350d483019, 0x62ff5bf8d281fb472b23db94f42d8e, 0x00420b], - ), - F::from_limbs( - [0xf42ba4b4e445e5ac5acac9f2b7cfe8, 0x4453cda4aac637f2ace42e0ce3d7c4, 0x0031e2], - ), - F::from_limbs( - [0xf91bc8feb9b112808f505c45cb015c, 0x917dc58e99c00d615843aba8be67e6, 0x00109e], - ), - F::from_limbs( - [0xc4883a0144aaec7f70afa2ba34fea5, 0x15d5640ee38825d87fc45df9199d6c, 0x00634f], - ), - F::from_limbs( - [0xa0b2c8a4a7bc2e69a5eae3e0a37475, 0x723faf835210730c75680995aa200f, 0x006fb5], - ), - F::from_limbs( - [0x1cf13a5b569fd0965a151b1f5c8b8c, 0x35137a1a2b37c02d62a0000c2de544, 0x000438], - ), - F::from_limbs( - [0x5cf9ee56a0d33e35042724c5b436bb, 0xc0eebcb1f4772ef461072f445e70e7, 0x00080e], - ), - F::from_limbs( - [0x60aa14a95d88c0cafbd8da3a4bc946, 0xe6646ceb88d104457700da5d79946c, 0x006bde], - ), - F::from_limbs( - [0xe4ef4d5372d2492e81ced8221f9f8a, 0x1efd37f7f7e0769798bf3a5553980d, 0x0060b7], - ), - F::from_limbs( - [0xd8b4b5ac8b89b5d17e3126dde06077, 0x8855f1a58567bca23f48cf4c846d45, 0x001336], - ), - F::from_limbs( - [0xc6252dbf1b326892f4d9b3220826cd, 0xfeab6ca661472557041d93d5177942, 0x0013b1], - ), - F::from_limbs( - [0xf77ed540e329966d0b264bddf7d934, 0xa8a7bcf71c010de2d3ea75ccc08c10, 0x00603b], - ), - F::from_limbs( - [0x9b851d08727d4269878537a09ab251, 0xe2b20f3384ec13ab948f2be0c4358d, 0x005366], - ), - F::from_limbs( - [0x221ee5f78bdebc96787ac75f654db0, 0xc4a11a69f85c1f8e4378ddc113cfc6, 0x002086], - ), - F::from_limbs( - [0x97fa6b553424bce61ba1af6202359a, 0x62790c9ec5709483ded871817d0f54, 0x0027cf], - ), - F::from_limbs( - [0x25a997aaca374219e45e4f9dfdca67, 0x44da1cfeb7d79eb5f92f98205af5ff, 0x004c1e], - ), - F::from_limbs( - [0xc62920e6caa9f8f2292b77ec6944b7, 0x17e308d1480c85fddad45ca496fc0c, 0x006ddc], - ), - F::from_limbs( - [0xf77ae21933b2060dd6d4871396bb4a, 0x8f7020cc353bad3bfd33acfd410946, 0x000611], - ), - F::from_limbs( - [0xcc6493ffad656f51eae331d45e4567, 0x9478a2d01333d6a928516c6c492af2, 0x0048b3], - ), - F::from_limbs( - [0xf13f6f0050f68fae151ccd2ba1ba9a, 0x12da86cd6a145c90afb69d358eda60, 0x002b3a], - ), - F::from_limbs( - [0xa4b9a7d9b44f7d6609134c8fd05714, 0xef733c2089cf6b37fc2d2bce9a49f6, 0x006304], - ), - F::from_limbs( - [0x18ea5b264a0c8199f6ecb2702fa8ed, 0xb7dfed7cf378c801dbdaddd33dbb5d, 0x0010e8], - ), - F::from_limbs( - [0x01287aa8e28eee99c2146c444e519a, 0xaa852cf69d9898ecff7fc2e04b67ab, 0x0025ea], - ), - F::from_limbs( - [0xbc7b88571bcd10663deb92bbb1ae67, 0xfccdfca6dfaf9a4cd88846c18c9da8, 0x004e02], - ), - F::from_limbs( - [0x6c05295b5fb41cb8d6b4ecef99c9e8, 0x71a09ca75e9ecf0144808af6112ecb, 0x001783], - ), - F::from_limbs( - [0x519ed9a49ea7e247294b1210663619, 0x35b28cf61ea9643893877eabc6d688, 0x005c6a], - ), - F::from_limbs( - [0x0dab4c4a2a63ad2369ef864781d95e, 0x2f7c6017a94f9b01da56279eb5d9e5, 0x003cd1], - ), - F::from_limbs( - [0xaff8b6b5d3f851dc961078b87e26a3, 0x77d6c985d3f89837fdb1e203222b6e, 0x00371c], - ), - F::from_limbs( - [0xfbbf05605e22049088086fe345cf99, 0x9962d49e98f824a86f10b7e39f2849, 0x004955], - ), - F::from_limbs( - [0xc1e4fd9fa039fa6f77f78f1cba3068, 0x0df054fee4500e9168f751be38dd09, 0x002a98], - ), - F::from_limbs( - [0x6ea85e98587c4a13068409bc82e244, 0x73eb7bcba57289a774bf888a996f9c, 0x0052c7], - ), - F::from_limbs( - [0x4efba467a5dfb4ecf97bf5437d1dbd, 0x3367add1d7d5a992634881173e95b7, 0x002126], - ), - F::from_limbs( - [0x15a25c56a25116ef4661cf681ac890, 0x122395c63dc1d8108a1f42d3561429, 0x000157], - ), - F::from_limbs( - [0xa801a6a95c0ae810b99e2f97e53771, 0x952f93d73f865b294de8c6ce81f12a, 0x007296], - ), - F::from_limbs( - [0xfa85c091fab993f2d6a61c264bba11, 0xc9de3a5deb69cc970bd5f2e6c815a4, 0x005469], - ), - F::from_limbs( - [0xc31e426e03a26b0d2959e2d9b445f0, 0xdd74ef3f91de66a2cc3216bb0fefae, 0x001f83], - ), - F::from_limbs( - [0x9cf7f79590474d5947ce0ad319cdc7, 0xe9425e38ffcc78b5a5b93d41590f4b, 0x0054d9], - ), - F::from_limbs( - [0x20ac0b6a6e14b1a6b831f42ce6323a, 0xbe10cb647d7bba84324ecc607ef608, 0x001f13], - ), - F::from_limbs( - [0x059903e0524868e55b60810a7f877b, 0xe6dafe0adda151ded54695836adc05, 0x006bea], - ), - F::from_limbs( - [0xb80aff1fac13961aa49f7df5807886, 0xc0782b929fa6e15b02c1741e6d294e, 0x000802], - ), - F::from_limbs( - [0xe617879a72d893b66d13df0b850d61, 0x14ed7cb17771b59db72419438d24fd, 0x002e07], - ), - F::from_limbs( - [0xd78c7b658b836b4992ec1ff47af2a0, 0x9265acec05d67d9c20e3f05e4ae055, 0x0045e6], - ), - F::from_limbs( - [0xe4824fbac5f8e7a21ac44df3477076, 0x4574e3442ee136aebb2396bd4f09d5, 0x0062b3], - ), - F::from_limbs( - [0xd921b3453863175de53bb10cb88f8b, 0x61de46594e66fc8b1ce472e488fb7d, 0x00113a], - ), - F::from_limbs( - [0xb8ecee197d9af0e3712b897f88b4d1, 0x00c45b561179be483f87c82a93f63f, 0x001a16], - ), - F::from_limbs( - [0x04b714e680c10e1c8ed47580774b30, 0xa68ece476bce74f198804177440f14, 0x0059d7], - ), - F::from_limbs( - [0x94ef84e6b7b995a1041f9488f68dae, 0x2ec1fc6138bd21f6d173aa046fe4ca, 0x0026c6], - ), - F::from_limbs( - [0x28b47e1946a2695efbe06a77097253, 0x78912d3c448b114306945f9d682089, 0x004d27], - ), - F::from_limbs( - [0x6d56a1d006b6372fac4dd82e55e945, 0x85187afb65a3c87c53ce3f7a76569b, 0x004129], - ), - F::from_limbs( - [0x504d612ff7a5c7d053b226d1aa16bc, 0x223aaea217a46abd8439ca2761aeb8, 0x0032c4], - ), - F::from_limbs( - [0x63ef45ad4908e6f172f93272aef9c6, 0xa5933f9d639627bceabba9c13bcb9a, 0x0011b5], - ), - F::from_limbs( - [0x59b4bd52b553180e8d06cc8d51063b, 0x01bfea0019b20b7ced4c5fe09c39b9, 0x006238], - ), - F::from_limbs( - [0x435d45df81fc513e24cf88d26d14bd, 0x4e82e0a4d4c5a66c4465ffe15f6be2, 0x00628f], - ), - F::from_limbs( - [0x7a46bd207c5fadc1db30762d92eb44, 0x58d048f8a8828ccd93a209c0789971, 0x00115e], - ), - F::from_limbs( - [0x5755762ed0dc2e1fda0410c4e4d674, 0x48feadc8d91349f2892deb1068f424, 0x0025ff], - ), - F::from_limbs( - [0x664e8cd12d7fd0e025fbee3b1b298d, 0x5e547bd4a434e9474eda1e916f112f, 0x004dee], - ), - F::from_limbs( - [0x976a04577e50444bc5e118fb425b35, 0xe8512409c3857773b21c8454d0d6c7, 0x001273], - ), - F::from_limbs( - [0x2639fea8800bbab43a1ee604bda4cc, 0xbf020593b9c2bbc625eb854d072e8c, 0x006179], - ), - F::from_limbs( - [0x4fb65d28974f6792018eab205ac3e1, 0x8d26543a3a60f8147ec78eec0ecf24, 0x006da6], - ), - F::from_limbs( - [0x6deda5d7670c976dfe7153dfa53c20, 0x1a2cd56342e73b2559407ab5c9362f, 0x000647], - ), - F::from_limbs( - [0x98fe6b6879e3c225a29005376888d7, 0x028e0bf569fd1c2b22c48fbf68ae2d, 0x000ebb], - ), - F::from_limbs( - [0x24a5979784783cda5d6ff9c897772a, 0xa4c51da8134b170eb54379e26f5726, 0x006532], - ), - F::from_limbs( - [0x5c491d95facfe2393b548d4204a51f, 0xc40edecaced7de301cf8986c431565, 0x0020c0], - ), - F::from_limbs( - [0x615ae56a038c1cc6c4ab71bdfb5ae2, 0xe3444ad2ae705509bb0f713594efee, 0x00532c], - ), - F::from_limbs( - [0xad139cafdaa772d6e616c9c1421c9e, 0x0a3d1e68f810578306d723b212c53f, 0x00348b], - ), - F::from_limbs( - [0x1090665023b48c2919e9353ebde363, 0x9d160b348537dbb6d130e5efc54014, 0x003f62], - ), - F::from_limbs( - [0x700a79da2ac3c6085f76ac583f79a0, 0x140bc42b07da6b95d0e40b88b4ff01, 0x002e99], - ), - F::from_limbs( - [0x4d998925d39838f7a08952a7c08661, 0x93476572756dc7a40723fe19230652, 0x004554], - ), - F::from_limbs( - [0x81818041738bf1e847f9433776feb1, 0x0ebca8a36a05a5b6c8dde49bad804f, 0x00290a], - ), - F::from_limbs( - [0x3c2282be8ad00d17b806bbc8890150, 0x989680fa13428d830f2a25062a8504, 0x004ae3], - ), - F::from_limbs( - [0x309e790e65064e32306af340c1db2d, 0x686764a69972d87fb06401dd4ca805, 0x000bd0], - ), - F::from_limbs( - [0x8d0589f19955b0cdcf950bbf3e24d4, 0x3eebc4f6e3d55aba27a407c48b5d4e, 0x00681d], - ), - F::from_limbs( - [0xde5b52cfa56e5ef9702d02ce6b3081, 0xdded4361edc32293b4da09077a31d3, 0x001395], - ), - F::from_limbs( - [0xdf48b03058eda0068fd2fc3194cf80, 0xc965e63b8f8510a6232e009a5dd37f, 0x006057], - ), - F::from_limbs( - [0x3a7a3a30e164ebf89184cfc722bd9f, 0x110afa3cec1ecf530b2c40345efea5, 0x000c0f], - ), - F::from_limbs( - [0x8329c8cf1cf713076e7b2f38dd4262, 0x96482f60912963e6ccdbc96d7906ae, 0x0067de], - ), - F::from_limbs( - [0x82c7aa2f50c6718c98f99408577a27, 0x59b976e328f1826addffd2285db4e5, 0x002059], - ), - F::from_limbs( - [0x3adc58d0ad958d7367066af7a885da, 0x4d99b2ba5456b0cefa0837797a506e, 0x005394], - ), - F::from_limbs( - [0x8fd7eef9244cb298fb4636446409e3, 0x01c7ef28e18206ab7288252332b360, 0x004783], - ), - F::from_limbs( - [0x2dcc1406da0f4c6704b9c8bb9bf61e, 0xa58b3a749bc62c8e657fe47ea551f3, 0x002c6a], - ), - F::from_limbs( - [0x32aeceebd86026c4febf0b91c6806d, 0xa560942c6498c9107c1635743781d4, 0x0012a7], - ), - F::from_limbs( - [0x8af5341425fbd83b0140f36e397f94, 0x01f2957118af6a295bf1d42da0837f, 0x006146], - ), - F::from_limbs( - [0x1d7f2bc75be4ac1b670bcfcf1f849a, 0x509f02a10d5b316a6fe11176b0f9a8, 0x003c30], - ), - F::from_limbs( - [0xa024d738a27752e498f42f30e07b67, 0x56b426fc6fed01cf6826f82b270bab, 0x0037bd], - ), - F::from_limbs( - [0xafa9321aff17c9004c5e11eb9505f9, 0x07f5cae1a195084571c7ab7696e4c1, 0x002e99], - ), - F::from_limbs( - [0x0dfad0e4ff4435ffb3a1ed146afa08, 0x9f5d5ebbdbb32af466405e2b412092, 0x004554], - ), - F::from_limbs( - [0x292d24283ac6fa129eee3f986b8455, 0x05c46d5e39f3855c0d1a0fb582e60a, 0x003852], - ), - F::from_limbs( - [0x9476ded7c39504ed6111bf67947bac, 0xa18ebc3f4354adddcaedf9ec551f49, 0x003b9b], - ), - F::from_limbs( - [0xff6d043f13d90de781a5b5ae382857, 0xc1f34621fa6d9a2287d5f9220e2fb7, 0x003caa], - ), - F::from_limbs( - [0xbe36fec0ea82f1187e5a4951c7d7aa, 0xe55fe37b82da99175032107fc9d59b, 0x003742], - ), - F::from_limbs( - [0x36a4cdd6c52bf66dea2db07aecfb2c, 0xb07666086a21dc850dde1ba420a978, 0x00081f], - ), - F::from_limbs( - [0x86ff35293930089215d24e851304d5, 0xf6dcc395132656b4ca29edfdb75bdb, 0x006bcd], - ), - F::from_limbs( - [0xcff89970e84a2fd43576dcf6601f6a, 0x95fd98daca15ee47fe04bc7132137e, 0x0020d0], - ), - F::from_limbs( - [0xedab698f1611cf2bca8922099fe097, 0x115590c2b33244f1da034d30a5f1d4, 0x00531d], - ), - F::from_limbs( - [0x4bf510cf7c7c8c9e768704f04e2b80, 0x2d1b75a1ffc63094c7611bdd129b82, 0x002527], - ), - F::from_limbs( - [0x71aef23081df72618978fa0fb1d481, 0x7a37b3fb7d8202a510a6edc4c569d1, 0x004ec6], - ), - F::from_limbs( - [0xc766da81eb5f3a10cba8cca132a4af, 0x9895da559f7bcc1f97abceafe390c3, 0x002aef], - ), - F::from_limbs( - [0xf63d287e12fcc4ef3457325ecd5b52, 0x0ebd4f47ddcc671a405c3af1f4748f, 0x0048fe], - ), - F::from_limbs( - [0x77ccfd0e68f45d81c3ad1e35f68aa0, 0x04249a2841514c8df7a0b2153271d0, 0x007214], - ), - F::from_limbs( - [0x45d705f19567a17e3c52e0ca097561, 0xa32e8f753bf6e6abe067578ca59383, 0x0001d9], - ), - F::from_limbs( - [0xe42b3486654278312cda878efea016, 0x69b4cb4cf4fafbed3003ef8c3a813e, 0x001cc7], - ), - F::from_limbs( - [0xd978ce79991986ced3257771015feb, 0x3d9e5e50884d374ca8041a159d8414, 0x005726], - ), - F::from_limbs( - [0xdc08ba88d180d93188d4192bcfb84d, 0xa6db496e5b977354760383a269ab6e, 0x001e05], - ), - F::from_limbs( - [0xe19b48772cdb25ce772be5d43047b4, 0x0077e02f21b0bfe5620485ff6e59e4, 0x0055e8], - ), - F::from_limbs( - [0x9617aa98504fbcdf57909bea0a2da4, 0x5272602dee9b726a2311ddae84a49a, 0x005643], - ), - F::from_limbs( - [0x278c5867ae0c4220a86f6315f5d25d, 0x54e0c96f8eacc0cfb4f62bf35360b9, 0x001daa], - ), - F::from_limbs( - [0x74a072f75e1eafc6b7ae4cbe9918df, 0x0ca1fa1ca2ce7bd130433636e1f719, 0x003963], - ), - F::from_limbs( - [0x49039008a03d4f394851b24166e722, 0x9ab12f80da79b768a7c4d36af60e3a, 0x003a8a], - ), - F::from_limbs( - [0x0e4544b75517c16711866509b0117e, 0x8e613f107412f75f355eb5219f4d29, 0x005860], - ), - F::from_limbs( - [0xaf5ebe48a9443d98ee7999f64fee83, 0x18f1ea8d09353bdaa2a9548038b82a, 0x001b8d], - ), - F::from_limbs( - [0x6b2362c6e3206af330c75237fd3287, 0xcf9dbeeb7a113d432c185eaed41723, 0x003918], - ), - F::from_limbs( - [0x5280a0391b3b940ccf38acc802cd7a, 0xd7b56ab20336f5f6abefaaf303ee30, 0x003ad4], - ), - F::from_limbs( - [0xfe6141c56e87705d1a4de431b14902, 0xb6f79972f279436a9109526def19bc, 0x000611], - ), - F::from_limbs( - [0xbf42c13a8fd48ea2e5b21ace4eb6ff, 0xf05b902a8aceefcf46feb733e8eb96, 0x006ddb], - ), - F::from_limbs( - [0x771ac41ed853a25780bbfe03ec55d5, 0xa563d5b51c810b94291b65dd88b855, 0x000bf6], - ), - F::from_limbs( - [0x46893ee126085ca87f4400fc13aa2c, 0x01ef53e860c727a5aeeca3c44f4cfe, 0x0067f7], - ), - F::from_limbs( - [0x3ef3285a12e45cc86a0ebf672f9539, 0x73a1f676d8115d3e5f439eda2e7ab2, 0x001b27], - ), - F::from_limbs( - [0x7eb0daa5eb77a23795f13f98d06ac8, 0x33b13326a536d5fb78c46ac7a98aa1, 0x0058c6], - ), - F::from_limbs( - [0x078bb4a345264200b56e295c87eb31, 0x8d23be8445a567589623fdf89c7c4c, 0x002c63], - ), - F::from_limbs( - [0xb6184e5cb935bcff4a91d5a37814d0, 0x1a2f6b1937a2cbe141e40ba93b8907, 0x00478a], - ), - F::from_limbs( - [0xc428f8a2654518b52166440df9b688, 0x3d89e044cc6c8191cc5fd4eb468731, 0x002ec4], - ), - F::from_limbs( - [0xf97b0a5d9916e64ade99baf2064979, 0x69c94958b0dbb1a80ba834b6917e21, 0x004529], - ), - F::from_limbs( - [0x356a0242c49b8fb3212df6a0e2db64, 0x410905166866b24236a3c7e932fe37, 0x004cde], - ), - F::from_limbs( - [0x883a00bd39c06f4cded2085f1d249d, 0x664a248714e180f7a16441b8a5071c, 0x00270f], - ), - F::from_limbs( - [0x4a92da52332af0b26f1f6b19b802a2, 0x903bb1db99afcd62607b6d2f5a7aed, 0x005ee5], - ), - F::from_limbs( - [0x731128adcb310e4d90e093e647fd5f, 0x171777c1e39865d7778c9c727d8a66, 0x001508], - ), - F::from_limbs( - [0x34b261df65292e9ebf6443bba0f2ed, 0x19bd16418157f24ce6e76cd2d04b7e, 0x0060b4], - ), - F::from_limbs( - [0x88f1a1209932d061409bbb445f0d14, 0x8d96135bfbf040ecf1209ccf07b9d5, 0x001339], - ), - F::from_limbs( - [0x3654f0611097c6b6a28c1f1914c201, 0x62bf4cb52ef4097fce3915c694a5c5, 0x004e30], - ), - F::from_limbs( - [0x874f129eedc438495d73dfe6eb3e00, 0x4493dce84e5429ba09cef3db435f8e, 0x0025bd], - ), - F::from_limbs( - [0xa053141f7d3d7cf9065e7bcadcfc19, 0xb655d0e63d59e74dac8f8f64831f8c, 0x006be1], - ), - F::from_limbs( - [0x1d50eee0811e8206f9a183352303e8, 0xf0fd58b73fee4bec2b787a3d54e5c7, 0x00080b], - ), - F::from_limbs( - [0x1211542079c63a04b57a388ce6c261, 0x7bac5f90a18bb38f7e83bd6db07800, 0x00699e], - ), - F::from_limbs( - [0xab92aedf8495c4fb4a85c673193da0, 0x2ba6ca0cdbbc7faa59844c34278d53, 0x000a4f], - ), - F::from_limbs( - [0x0ee0c64f8b7ac1ff7ba2024a37b7bb, 0x93e4697b1d9ce0c431b6db18076ff9, 0x000834], - ), - F::from_limbs( - [0xaec33cb072e13d00845dfcb5c84846, 0x136ec0225fab5275a6512e89d0955a, 0x006bb9], - ), - F::from_limbs( - [0x01fa182468ba7c595e445abe442dca, 0x879144d0fcd2fcc9670838442647e3, 0x0051e8], - ), - F::from_limbs( - [0xbba9eadb95a182a6a1bba441bbd237, 0x1fc1e4cc8075367070ffd15db1bd70, 0x002205], - ), - F::from_limbs( - [0x9afd4618c5e1bc80afccf22a6f8a52, 0x1540ac49fb06bbc6c6b9a9fc918afb, 0x005101], - ), - F::from_limbs( - [0x22a6bce7387a427f50330cd59075af, 0x92127d5382417773114e5fa5467a58, 0x0022ec], - ), - F::from_limbs( - [0x1ee525b1ec67d1c5c9581135a7ab68, 0x30ea2e1c440d8b23d1f54cdf1fae7b, 0x00349e], - ), - F::from_limbs( - [0x9ebedd4e11f42d3a36a7edca585499, 0x7668fb81393aa8160612bcc2b856d8, 0x003f4f], - ), - F::from_limbs( - [0xae2ac8e1522fb525497b14298a9c76, 0x29bc131a89602fe31e0bda03eafb9b, 0x005ebe], - ), - F::from_limbs( - [0x0f793a1eac2c49dab684ead675638b, 0x7d971682f3e80356b9fc2f9ded09b8, 0x00152f], - ), - F::from_limbs( - [0x5b2f702a43d37b7ab8dac27f3e254c, 0x42d5471bc24662632562d7c80a5369, 0x0064a9], - ), - F::from_limbs( - [0x627492d5ba88838547253c80c1dab5, 0x647de281bb01d0d6b2a531d9cdb1ea, 0x000f44], - ), - F::from_limbs( - [0x77c91e81814f8b58eef8ea01b32225, 0xbbcf1c263cfc2d486a35143271ee7d, 0x003ea3], - ), - F::from_limbs( - [0x45dae47e7d0c73a7110714fe4cdddc, 0xeb840d77404c05f16dd2f56f6616d6, 0x003549], - ), - F::from_limbs( - [0x7e33d54601da6d389208e6356979ab, 0xc09b9fa4dfb218819428c8056d1d39, 0x0028c1], - ), - F::from_limbs( - [0x3f702db9fc8191c76df718ca968656, 0xe6b789f89d961ab843df419c6ae81a, 0x004b2b], - ), - F::from_limbs( - [0xa5905736c46ea4c5475b119e356265, 0xd098fc0f8207b6faf0e0d74f7a1025, 0x00690b], - ), - F::from_limbs( - [0x1813abc939ed5a3ab8a4ed61ca9d9c, 0xd6ba2d8dfb407c3ee72732525df52e, 0x000ae1], - ), - F::from_limbs( - [0xc3720c7bf19f0c42aa886429513423, 0xef4adbfcd69d77f7f625dacb9ddb3b, 0x0045eb], - ), - F::from_limbs( - [0xfa31f6840cbcf2bd55779ad6aecbde, 0xb8084da0a6aabb41e1e22ed63a2a17, 0x002e01], - ), - F::from_limbs( - [0xd1b9212b65bf214e921640c47a0a45, 0xd6554ec4fbad86e639ebf267f538dd, 0x00278f], - ), - F::from_limbs( - [0xebeae1d4989cddb16de9be3b85f5bc, 0xd0fddad8819aac539e1c1739e2cc75, 0x004c5d], - ), - F::from_limbs( - [0x0c31c44ac745f527c512ff22e85c3a, 0x2e4cd97518258238f206e24c0b1c2b, 0x002cbc], - ), - F::from_limbs( - [0xb1723eb5371609d83aecffdd17a3c7, 0x790650286522b100e6012755cce928, 0x004731], - ), - F::from_limbs( - [0x9989268429206117d51008e47afac8, 0x2c5a3a4f9c6aeb6b7a036c657da412, 0x001856], - ), - F::from_limbs( - [0x241adc7bd53b9de82aeff61b850539, 0x7af8ef4de0dd47ce5e049d3c5a6141, 0x005b97], - ), - F::from_limbs( - [0x3c1bffa488ae4c91a9d99c561db4f3, 0x5df95918a808d3a4931256f1413ddf, 0x002162], - ), - F::from_limbs( - [0x8188035b75adb26e562662a9e24b0e, 0x4959d084d53f5f9544f5b2b096c774, 0x00528b], - ), - F::from_limbs( - [0xfb570516b5e5cefc96ef08c768f7bb, 0x202424aab720e62747593b3d0256dd, 0x004ae0], - ), - F::from_limbs( - [0xc24cfde9487630036910f638970846, 0x872f04f2c6274d1290aece64d5ae75, 0x00290d], - ), - F::from_limbs( - [0x6d477b956af945571da68e63a7c767, 0xa9008ab58c52c373a0f84872096ba6, 0x005eed], - ), - F::from_limbs( - [0x505c876a9362b9a8e259709c58389a, 0xfe529ee7f0f56fc6370fc12fce99ad, 0x0014ff], - ), - F::from_limbs( - [0xc5dd2ae9e83d223d69281ae1af9955, 0x35a347e2e5a7d5bf621e6cdc1ff837, 0x00668d], - ), - F::from_limbs( - [0xf7c6d816161edcc296d7e41e5066ac, 0x71afe1ba97a05d7a75e99cc5b80d1b, 0x000d60], - ), - F::from_limbs( - [0xba0324468f865128736875d438f2d6, 0x73380eda1d3ba312905b71fb212d57, 0x001dae], - ), - F::from_limbs( - [0x03a0deb96ed5add78c97892bc70d2b, 0x341b1ac3600c902747ac97a6b6d7fc, 0x00563f], - ), - F::from_limbs( - [0x5e326a7b6d1553fd517bb125e87aa6, 0xbdab877991b02c465a03f89c87977d, 0x000c40], - ), - F::from_limbs( - [0x5f7198849146ab02ae844dda17855b, 0xe9a7a223eb9806f37e041105506dd6, 0x0067ac], - ), - F::from_limbs( - [0x5b47aa7fc702df407a3035875afd49, 0xa961d2308993234e4002f9a199a5c3, 0x004f00], - ), - F::from_limbs( - [0x625c588037591fbf85cfc978a502b8, 0xfdf1576cf3b50feb980510003e5f90, 0x0024ec], - ), - F::from_limbs( - [0xfb9dc693cfbdcbd6d7b660f42ebdf7, 0xe8ad2baf59d5de4ac442c8ffc9599c, 0x004111], - ), - F::from_limbs( - [0xc2063c6c2e9e332928499e0bd1420a, 0xbea5fdee237254ef13c540a20eabb6, 0x0032db], - ), - F::from_limbs( - [0x14d71f3d115d480b10922f5983b2e8, 0x80c524bd040ea27554f6cda2dd8143, 0x0046bf], - ), - F::from_limbs( - [0xa8cce3c2ecfeb6f4ef6dcfa67c4d19, 0x268e04e0793990c483113bfefa8410, 0x002d2e], - ), - F::from_limbs( - [0x8a4ccd5a8ffdaea479ce0adf737d2c, 0x281fc9738b6acf6a3c9e3de03c4b9f, 0x0057b4], - ), - F::from_limbs( - [0x335735a56e5e505b8631f4208c82d5, 0x7f336029f1dd63cf9b69cbc19bb9b4, 0x001c39], - ), - F::from_limbs( - [0xfa9da9aea7b7a807f3949ff7497ac4, 0x94e273230bc82fa52c43468bc2cb46, 0x0067d1], - ), - F::from_limbs( - [0xc306595156a456f80c6b5f08b6853d, 0x1270b67a71800394abc4c316153a0c, 0x000c1c], - ), - F::from_limbs( - [0xf90efcf7889498c0fa84462b5be3f9, 0x506cf5b4ad5c5dfa071dbcb2f776a7, 0x004583], - ), - F::from_limbs( - [0xc495060875c7663f057bb8d4a41c08, 0x56e633e8cfebd53fd0ea4ceee08eab, 0x002e6a], - ), - F::from_limbs( - [0x4bd6bd4ae9ab1cba6dbc0d400aabca, 0x020cfd306c1de084a51cd4d6f9f64b, 0x00678e], - ), - F::from_limbs( - [0x71cd45b514b0e2459243f1bff55437, 0xa5462c6d112a52b532eb34cade0f08, 0x000c5f], - ), - F::from_limbs( - [0xadc30be0afecd9400809b932c038e7, 0x6d07fcafce4a9a767be86caf30f381, 0x0063a0], - ), - F::from_limbs( - [0x0fe0f71f4e6f25bff7f645cd3fc71a, 0x3a4b2cedaefd98c35c1f9cf2a711d2, 0x00104d], - ), - F::from_limbs( - [0xfe8d47e5eb3bac52f1982243ace47a, 0xd6124eee8fcbbcf665d106968cdd39, 0x0039da], - ), - F::from_limbs( - [0xbf16bb1a132052ad0e67dcbc531b87, 0xd140daaeed7c76437237030b4b2819, 0x003a12], - ), - F::from_limbs( - [0x8b5ce291f218c9dd74958e6cca1c43, 0x7e5763a2583ce605c2850effefc8c8, 0x00144b], - ), - F::from_limbs( - [0x3247206e0c4335228b6a709335e3be, 0x28fbc5fb250b4d341582faa1e83c8b, 0x005fa2], - ), - F::from_limbs( - [0x2e5e696f842cffe144608f74eaac1b, 0x8fb393a3ab78c209cb769b65fa1ebe, 0x0030f6], - ), - F::from_limbs( - [0x8f4599907a2eff1ebb9f6f8b1553e6, 0x179f95f9d1cf71300c916e3bdde695, 0x0042f7], - ), - F::from_limbs( - [0xa5b8d3dda353e8a443e6dbbea71c3d, 0x4da2acaeebdd573de9e05c005ca05c, 0x003e26], - ), - F::from_limbs( - [0x17eb2f225b08165bbc19234158e3c4, 0x59b07cee916adbfbee27ada17b64f7, 0x0035c7], - ), - F::from_limbs( - [0x78b65b0a65311a96bd8776dcb3a3de, 0x40eea7b1a760a3c8fb7b4ca1b1ceb3, 0x000c7f], - ), - F::from_limbs( - [0x44eda7f5992ae469427888234c5c23, 0x666481ebd5e78f70dc8cbd002636a0, 0x00676e], - ), - F::from_limbs( - [0xdc89a891d9f52411e9aa243ff64fb7, 0xf8687719af42f436be5744d2fd476f, 0x0005fd], - ), - F::from_limbs( - [0xe11a5a6e2466daee1655dac009b04a, 0xaeeab283ce053f0319b0c4cedabde3, 0x006def], - ), - F::from_limbs( - [0xa76a4d12a65a59e004a8616ad310f0, 0xdcd7f3e6f15ec6c4f5b601e21ff0d9, 0x0016c4], - ), - F::from_limbs( - [0x1639b5ed5801a51ffb579d952cef11, 0xca7b35b68be96c74e25207bfb8147a, 0x005d28], - ), - F::from_limbs( - [0x0467bb084c964790407b4446e144b0, 0x40ff209302f1e88adcdbbfcc7732aa, 0x004269], - ), - F::from_limbs( - [0xb93c47f7b1c5b76fbf84bab91ebb51, 0x6654090a7a564aaefb2c49d560d2a9, 0x003184], - ), - F::from_limbs( - [0x7f89984e1f494bd58aa66bb4834fd9, 0xf85ceb431b3e231aa97f1b81adbf24, 0x000a1c], - ), - F::from_limbs( - [0x3e1a6ab1df12b32a7559934b7cb028, 0xaef63e5a620a101f2e88ee202a462f, 0x0069d0], - ), - F::from_limbs( - [0x6e71b10378df567095602a91bfeb57, 0x333f31a2b277845fe7e2ace6ee7a68, 0x0068bf], - ), - F::from_limbs( - [0x4f3251fc857ca88f6a9fd46e4014aa, 0x7413f7facad0aed9f0255cbae98aeb, 0x000b2e], - ), - F::from_limbs( - [0x72e12d4ef7b1bc1d048d5e4c8f92d5, 0x1919c9e42d245edfec475cd95fd90c, 0x0006dd], - ), - F::from_limbs( - [0x4ac2d5b106aa42e2fb72a0b3706d2c, 0x8e395fb95023d459ebc0acc8782c47, 0x006d10], - ), - F::from_limbs( - [0xa6caeec0019cce89f8a28c04b02908, 0x4254d49cb10f9468da4449c73ffa3f, 0x002507], - ), - F::from_limbs( - [0x16d9143ffcbf3076075d72fb4fd6f9, 0x64fe5500cc389ed0fdc3bfda980b14, 0x004ee6], - ), - F::from_limbs( - [0x7678b48bb1db8fb4bd8e160157197c, 0x9af535ae0e253b310b396831542a11, 0x004279], - ), - F::from_limbs( - [0x472b4e744c806f4b4271e8fea8e685, 0x0c5df3ef6f22f808cccea17083db42, 0x003174], - ), - F::from_limbs( - [0xc281a93aef62e96137a691be2497f9, 0xd3cb28a3b5a16588627f08e73b1b20, 0x004bab], - ), - F::from_limbs( - [0xfb2259c50ef9159ec8596d41db6808, 0xd38800f9c7a6cdb1758900ba9cea32, 0x002841], - ), - F::from_limbs( - [0xf4c10059af274ee2cc0434baf3e2fb, 0xd18546fdbca8764eb4562d580122db, 0x001aec], - ), - F::from_limbs( - [0xc8e302a64f34b01d33fbca450c1d06, 0xd5cde29fc09fbceb23b1dc49d6e277, 0x005900], - ), - F::from_limbs( - [0x2d6fb35a5cecb4467864c0e822f4f6, 0x40d594cfa384a9b31eb7a0574d1a1c, 0x001a4b], - ), - F::from_limbs( - [0x90344fa5a16f4ab9879b3e17dd0b0b, 0x667d94cdd9c38986b950694a8aeb37, 0x0059a2], - ), - F::from_limbs( - [0x0048cde3a189929b8c6581b7a57bb6, 0xc9c6a859b493283d27539aa3079e7e, 0x001a9f], - ), - F::from_limbs( - [0xbd5b351c5cd26c64739a7d485a844b, 0xdd8c8143c8b50afcb0b46efed066d5, 0x00594d], - ), - F::from_limbs( - [0x901f632ec9e7867e4f0728f664f220, 0x29d3d7d78713ff0e7a5f644cc3151a, 0x00256e], - ), - F::from_limbs( - [0x2d849fd134747881b0f8d6099b0de1, 0x7d7f51c5f634342b5da8a55514f039, 0x004e7f], - ), - F::from_limbs( - [0x8f4de46dd12913aa9ae8a21f3d3b2a, 0xc598ec5b2425c7cd9306078735756a, 0x006528], - ), - F::from_limbs( - [0x2e561e922d32eb5565175ce0c2c4d7, 0xe1ba3d4259226b6c4502021aa28fe9, 0x000ec4], - ), - F::from_limbs( - [0x13ba7565944c5b1543c85450272199, 0xf3850c2463a95f9cce23d45411857f, 0x00207f], - ), - F::from_limbs( - [0xa9e98d9a6a0fa3eabc37aaafd8de68, 0xb3ce1d79199ed39d09e4354dc67fd4, 0x00536d], - ), - F::from_limbs( - [0x46eb57ea4ac470f442b205efee0514, 0x43f88c427dfaf9484c246f79adca12, 0x00333c], - ), - F::from_limbs( - [0x76b8ab15b3978e0bbd4df91011faed, 0x635a9d5aff4d39f18be39a282a3b41, 0x0040b1], - ), - F::from_limbs( - [0xd2b436f50932afdcd4eae782b30688, 0x64dd8e54b387f9512866d3f7d41f14, 0x000837], - ), - F::from_limbs( - [0xeaefcc0af5294f232b15177d4cf979, 0x42759b48c9c039e8afa135aa03e63e, 0x006bb6], - ), - F::from_limbs( - [0x99d9214c68d624dc714980be571087, 0x9f73e4a877e46ea11c8dfdfe84358b, 0x001f19], - ), - F::from_limbs( - [0x23cae1b39585da238eb67e41a8ef7a, 0x07df44f50563c498bb7a0ba353cfc8, 0x0054d4], - ), - F::from_limbs( - [0x399fcbaaa521a98ea8afae00d170ae, 0x373c48aa371fc73ef01e4237d0cd62, 0x004d0a], - ), - F::from_limbs( - [0x84043755593a5571575050ff2e8f53, 0x7016e0f346286bfae7e9c76a0737f1, 0x0026e3], - ), - F::from_limbs( - [0x500eb02ee2d9b63e9fe4a0fd9609b0, 0x23d941e9787714e54cb0055d4e79e0, 0x0034ae], - ), - F::from_limbs( - [0x6d9552d11b8248c1601b5e0269f651, 0x8379e7b404d11e548b580444898b73, 0x003f3f], - ), - F::from_limbs( - [0x352480fa0142bbab3354b95ae621bc, 0x5126bd58cd82930f5e8f92bf19b8f0, 0x000cc6], - ), - F::from_limbs( - [0x887f8205fd194354ccab45a519de45, 0x562c6c44afc5a02a797876e2be4c63, 0x006727], - ), - F::from_limbs( - [0x62ded52fd700885ee20c0dd1b4a838, 0x1c067801129b35ed2aecb3a3c45a67, 0x00368a], - ), - F::from_limbs( - [0x5ac52dd0275b76a11df3f12e4b57c9, 0x8b4cb19c6aacfd4cad1b55fe13aaec, 0x003d63], - ), - F::from_limbs( - [0x66e7055dd8b9a9362010e8b6f2fca0, 0xb1192af8a686ae9351a4b09f45cf52, 0x006626], - ), - F::from_limbs( - [0x56bcfda225a255c9dfef16490d0361, 0xf639fea4d6c184a686635902923601, 0x000dc6], - ), - F::from_limbs( - [0x829fa9756239065149e6b135daad43, 0x1d92c648e00ac9797442364e2a520c, 0x0042df], - ), - F::from_limbs( - [0x3b04598a9c22f8aeb6194dca2552be, 0x89c063549d3d69c063c5d353adb347, 0x00310e], - ), - F::from_limbs( - [0x039c93ab01de8dc45d6a0ee42c235e, 0xe9a05d32ae0c342f0b767f189f73b8, 0x005802], - ), - F::from_limbs( - [0xba076f54fc7d713ba295f01bd3dca3, 0xbdb2cc6acf3bff0acc918a8938919b, 0x001bea], - ), - F::from_limbs( - [0x607690dcfab6e9e6e915abaf97bc2d, 0x7a3834c2b60b8fa3fe5f9b3c8ae049, 0x000023], - ), - F::from_limbs( - [0x5d2d722303a5151916ea53506843d4, 0x2d1af4dac73ca395d9a86e654d250a, 0x0073ca], - ), - F::from_limbs( - [0xf7e8d06558cc09c2361a9ef0904d55, 0xcd45c3e35c09548b704bd2ae612416, 0x003a9d], - ), - F::from_limbs( - [0xc5bb329aa58ff53dc9e5600f6fb2ac, 0xda0d65ba213edeae67bc36f376e13c, 0x00394f], - ), - F::from_limbs( - [0x366ec9858bbf6c69998015cfb618f9, 0x55e541519389f820338273189ec513, 0x0070c9], - ), - F::from_limbs( - [0x8735397a729c9296667fe93049e708, 0x516de84be9be3b19a4859689394040, 0x000324], - ), - F::from_limbs( - [0x991a8549b179952dfc1c048b1eebba, 0x4c4e68daaf27eca0d4a90b42cef9db, 0x002fd7], - ), - F::from_limbs( - [0x24897db64ce269d203e3fa74e11447, 0x5b04c0c2ce204699035efe5f090b78, 0x004416], - ), - F::from_limbs( - [0xaa6d581ed2c4bd1bfec4e31db595da, 0x7d5b0ed096e4303bd342e46dae0b30, 0x000674], - ), - F::from_limbs( - [0x1336aae12b9741e4013b1be24a6a27, 0x29f81acce66402fe04c5253429fa23, 0x006d79], - ), - F::from_limbs( - [0x81e1b366348d59d5008b415742cf2c, 0x1de08c44b05c5f9615ada1567cea0f, 0x001a24], - ), - F::from_limbs( - [0x3bc24f99c9cea52aff74bda8bd30d5, 0x89729d58ccebd3a3c25a684b5b1b44, 0x0059c9], - ), - F::from_limbs( - [0xe75b2f9b862e777f2812860a5e7bf6, 0x603dcb33a8f035c2af174b0de333ac, 0x002fce], - ), - F::from_limbs( - [0xd648d364782d8780d7ed78f5a1840b, 0x47155e69d457fd7728f0be93f4d1a6, 0x00441f], - ), - F::from_limbs( - [0x192102577134b3fe804b693688c917, 0x152542076b192914da850aa8c1ca1b, 0x003d77], - ), - F::from_limbs( - [0xa48300a88d274b017fb495c97736ea, 0x922de796122f0a24fd82fef9163b38, 0x003676], - ), - F::from_limbs( - [0xf4bccd99cb9046c44608878e56b18d, 0xe4da84bd62fbae9aa110d4844095c6, 0x001266], - ), - F::from_limbs( - [0xc8e7356632cbb83bb9f77771a94e74, 0xc278a4e01a4c849f36f7351d976f8c, 0x006186], - ), - F::from_limbs( - [0x311fa027a0f568823cb99f2c17bdcd, 0xf7cf11927e6353a2ae829e2dd36e96, 0x0072d2], - ), - F::from_limbs( - [0x8c8462d85d66967dc3465fd3e84234, 0xaf84180afee4df9729856b740496bd, 0x00011a], - ), - F::from_limbs( - [0x5c255fec426d8cdc8023c433014b7a, 0x1125fb8d170db8f63036640b7cfca4, 0x005ec0], - ), - F::from_limbs( - [0x617ea313bbee72237fdc3accfeb487, 0x962d2e10663a7a43a7d1a5965b08af, 0x00152d], - ), - F::from_limbs( - [0x234cc83e129d05cac696b0e5c3fcac, 0xfeb419a46ea5fcd501b9c2cf437010, 0x001c0a], - ), - F::from_limbs( - [0x9a573ac1ebbef93539694e1a3c0355, 0xa89f0ff90ea23664d64e46d2949543, 0x0057e2], - ), - F::from_limbs( - [0xe716e0f033f72b72498848fbc00998, 0xd0588d6029adaf665203abefaf0457, 0x001323], - ), - F::from_limbs( - [0xd68d220fca64d38db677b6043ff669, 0xd6fa9c3d539a83d386045db22900fb, 0x0060c9], - ), - F::from_limbs( - [0xa69c5cb7b5339c8b28202568c1191a, 0x7473aec107d89fd3fc0a318afa7228, 0x0010f4], - ), - F::from_limbs( - [0x1707a64849286274d7dfd9973ee6e7, 0x32df7adc756f9365dbfdd816dd932b, 0x0062f9], - ), - F::from_limbs( - [0x181f2d5d9e2a131245b9b503b948f7, 0x10fc1f1f45c512e78cf448f8beafff, 0x004bab], - ), - F::from_limbs( - [0xa584d5a26031ebedba4649fc46b70a, 0x96570a7e378320524b13c0a9195554, 0x002842], - ), - F::from_limbs( - [0x899c749fdaf665bc1548facb7b03c5, 0xc7d005315cea488effc435dd9245f1, 0x0047e6], - ), - F::from_limbs( - [0x34078e6023659943eab7043484fc3c, 0xdf83246c205deaaad843d3c445bf62, 0x002c06], - ), - F::from_limbs( - [0x980680010107783cd0d52868bd62f1, 0xff4f2394b51c1d27378dd579388bb1, 0x001b6d], - ), - F::from_limbs( - [0x259d82fefd5486c32f2ad697429d10, 0xa8040608c82c1612a07a34289f79a2, 0x00587f], - ), - F::from_limbs( - [0x0fda5051a37d3acd0cf163f403c594, 0x25d07b49a277db8a3197f6667f0a7c, 0x000aa3], - ), - F::from_limbs( - [0xadc9b2ae5adec432f30e9b0bfc3a6d, 0x8182ae53dad057afa670133b58fad7, 0x00694a], - ), - F::from_limbs( - [0xc4daee200c52605c067d108a5ba95a, 0x92c2bf28e2003a96940c094299dc62, 0x002976], - ), - F::from_limbs( - [0xf8c914dff2099ea3f982ee75a456a7, 0x14906a749b47f8a343fc005f3e28f0, 0x004a77], - ), - F::from_limbs( - [0xde75070be93e05f8f3ba3d42f36d2c, 0xd5e4479c8df0ecb3f50fb0f21337d1, 0x002414], - ), - F::from_limbs( - [0xdf2efbf4151df9070c45c1bd0c92d5, 0xd16ee200ef574685e2f858afc4cd81, 0x004fd8], - ), - F::from_limbs( - [0xf7bca4242070fcbc79729bfc181d87, 0xb15ea032d2eb3432303860656bc2eb, 0x004e23], - ), - F::from_limbs( - [0xc5e75edbddeb0243868d6303e7e27a, 0xf5f4896aaa5cff07a7cfa93c6c4267, 0x0025c9], - ), - F::from_limbs( - [0x5ef5e86046408143a898fb31c9c4ee, 0x91addd75800726e4c08df8991f67a0, 0x0056bd], - ), - F::from_limbs( - [0x5eae1a9fb81b7dbc576703ce363b13, 0x15a54c27fd410c55177a1108b89db3, 0x001d30], - ), - F::from_limbs( - [0x6e588415ecaa66b136effd3f67e4f0, 0xd8fd7bb9852f096506fcb28d9b7cf6, 0x0038ce], - ), - F::from_limbs( - [0x4f4b7eea11b1984ec91001c0981b11, 0xce55ade3f81929d4d10b57143c885d, 0x003b1e], - ), - F::from_limbs( - [0x8f36cb9e84d1b1630642f16c936994, 0xe75a382cbf2e02f0663c969124c698, 0x0067dc], - ), - F::from_limbs( - [0x2e6d3761798a4d9cf9bd0d936c966d, 0xbff8f170be1a304971cb7310b33ebb, 0x000c10], - ), - F::from_limbs( - [0xc391a44d095efb7975e7721deb1be9, 0xd069b7229003170842e6e017c538ea, 0x001403], - ), - F::from_limbs( - [0xfa125eb2f4fd03868a188ce214e418, 0xd6e9727aed451c319521298a12cc68, 0x005fe9], - ), - F::from_limbs( - [0x51d7689baf0f40f6c18c8d1ea26560, 0xb6ddd5775cb0f1982c73f8102e9d6d, 0x001b19], - ), - F::from_limbs( - [0x6bcc9a644f4cbe093e7371e15d9aa1, 0xf0755426209741a1ab941191a967e6, 0x0058d3], - ), - F::from_limbs( - [0xb10ea7a313f73e11fa377f6160c3e7, 0xf76f040b0a89bed4581761f087904e, 0x00346e], - ), - F::from_limbs( - [0x0c955b5cea64c0ee05c87f9e9f3c1a, 0xafe4259272be74657ff0a7b1507505, 0x003f7e], - ), - F::from_limbs( - [0xd73d5d3d1ebf4c2b27692f9d97b929, 0xc253a232e71502e1414cf60bcb7626, 0x004dd4], - ), - F::from_limbs( - [0xe666a5c2df9cb2d4d896cf626846d8, 0xe4ff876a9633305896bb13960c8f2c, 0x002618], - ), - F::from_limbs( - [0x01ab792405734124e37d7512d665de, 0x4efd72d699b6ad23b531fa5e728f48, 0x00502a], - ), - F::from_limbs( - [0xbbf889dbf8e8bddb1c8289ed299a23, 0x5855b6c6e391861622d60f4365760b, 0x0023c3], - ), - F::from_limbs( - [0x04625fcd552eb47e4f18a74d8f0ffc, 0x74e27cad0a2c5df5679e2874a63c51, 0x001b14], - ), - F::from_limbs( - [0xb941a332a92d4a81b0e757b270f005, 0x3270acf0731bd5447069e12d31c902, 0x0058d9], - ), - F::from_limbs( - [0x128954af94fd14686873f8ebe729d3, 0xaf07783cd487ebc8683b74daafca98, 0x0067d2], - ), - F::from_limbs( - [0xab1aae50695eea97978c061418d62e, 0xf84bb160a8c047716fcc94c7283abb, 0x000c1a], - ), - F::from_limbs( - [0x39c3bd751f2997989a8b21cb4b1481, 0xb14019f2da1c4b94376b4bf82d9ec8, 0x001e87], - ), - F::from_limbs( - [0x83e0458adf3267676574dd34b4eb80, 0xf6130faaa32be7a5a09cbda9aa668b, 0x005565], - ), - F::from_limbs( - [0x224e8044fb9b302d358051fe142663, 0x7e5dd2080df78bfe971e712d186e0a, 0x0041ee], - ), - F::from_limbs( - [0x9b5582bb02c0ced2ca7fad01ebd99e, 0x28f557956f50a73b40e99874bf9749, 0x0031ff], - ), - F::from_limbs( - [0x266e7302d6261ee8604ef138481f67, 0x4af099edb3d6b0bba73275b4fd222d, 0x003fb0], - ), - F::from_limbs( - [0x97358ffd2835e0179fb10dc7b7e09a, 0x5c628fafc971827e30d593ecdae326, 0x00343d], - ), - F::from_limbs( - [0xcd04d4f26b49a51297254297f78ee1, 0x396fe69b76655402529839aa08e182, 0x0029a6], - ), - F::from_limbs( - [0xf09f2e0d931259ed68dabc68087120, 0x6de3430206e2df37856fcff7cf23d0, 0x004a47], - ), - F::from_limbs( - [0x9a0420135c1e74d004fced7127bbd0, 0xfdaea9b84859439bb05a2196d21ca9, 0x006730], - ), - F::from_limbs( - [0x239fe2eca23d8a2ffb03118ed84431, 0xa9a47fe534eeef9e27ade80b05e8aa, 0x000cbc], - ), - F::from_limbs( - [0x9389ca095aa500706ae67706c752d6, 0x240d9f9006949ad4f83cf67b6dbbbc, 0x00710a], - ), - F::from_limbs( - [0x2a1a38f6a3b6fe8f951987f938ad2b, 0x83458a0d76b39864dfcb13266a4997, 0x0002e3], - ), - F::from_limbs( - [0x3128560305c8ef5a2396bbf9697fb6, 0xccabef53799b1e88e1d0d1f0dc5dc7, 0x003bc4], - ), - F::from_limbs( - [0x8c7bacfcf8930fa5dc69430696804b, 0xdaa73a4a03ad14b0f63737b0fba78c, 0x003828], - ), - F::from_limbs( - [0x7bdee41758cacac6c8da15682a43ad, 0xa255a42715a228e1ce9a9398792771, 0x0061ed], - ), - F::from_limbs( - [0x41c51ee8a59134393725e997d5bc54, 0x04fd857667a60a58096d76095edde2, 0x001200], - ), - F::from_limbs( - [0x36460c54463cd8f3645a8d9dd0449e, 0xc5e63ebd7c87a1375287bdfc69b2e7, 0x005f7a], - ), - F::from_limbs( - [0x875df6abb81f260c9ba571622fbb63, 0xe16ceae000c0920285804ba56e526c, 0x001472], - ), - F::from_limbs( - [0xe527d3c618bd91111135e45e927581, 0x651a3c71c35b24f44b3cbdee5bb69e, 0x0034e9], - ), - F::from_limbs( - [0xd87c2f39e59e6deeeeca1aa16d8a80, 0x4238ed2bb9ed0e458ccb4bb37c4eb4, 0x003f04], - ), - F::from_limbs( - [0x14bad0bf6f6300650f9beee20b5515, 0xe269c37d4d8412f381403b89980ee9, 0x00217b], - ), - F::from_limbs( - [0xa8e932408ef8fe9af064101df4aaec, 0xc4e966202fc4204656c7ce183ff66a, 0x005271], - ), - F::from_limbs( - [0x762a4c86bee8123a5f306e81360e77, 0x7337cf2dbc5743ce881218684db954, 0x0009e9], - ), - F::from_limbs( - [0x4779b6793f73ecc5a0cf907ec9f18a, 0x341b5a6fc0f0ef6b4ff5f1398a4bff, 0x006a04], - ), - F::from_limbs( - [0x9937ed82cb4a9fc76cd46491730168, 0xdc87d269cdd4133553ee41427fca0f, 0x001f19], - ), - F::from_limbs( - [0x246c157d33115f38932b9a6e8cfe99, 0xcacb5733af7420048419c85f583b44, 0x0054d3], - ), - F::from_limbs( - [0x56d7ccb64bbb09a91f10acaa57449b, 0x3d85d572d287a73bb732faaf08a75a, 0x004c45], - ), - F::from_limbs( - [0x66cc3649b2a0f556e0ef5255a8bb66, 0x69cd542aaac08bfe20d50ef2cf5df9, 0x0027a8], - ), - F::from_limbs( - [0x6f93db2578f813a18e4c1292f11cf2, 0x1640b859af326965abb4bbaf508f24, 0x003059], - ), - F::from_limbs( - [0x4e1027da8563eb5e71b3ec6d0ee30f, 0x91127143ce15c9d42c534df287762f, 0x004394], - ), - F::from_limbs( - [0x60ca413c1470f069cd62c92c7d3417, 0x0c87494cf671479a275b158a6c0d06, 0x006c26], - ), - F::from_limbs( - [0x5cd9c1c3e9eb0e96329d35d382cbea, 0x9acbe05086d6eb9fb0acf4176bf84d, 0x0007c7], - ), - F::from_limbs( - [0xb124828724cb9e6154c10541689b3b, 0x28ea95e4e4c038654cd2bddea77d27, 0x005169], - ), - F::from_limbs( - [0x0c7f8078d990609eab3ef9be9764c6, 0x7e6893b89887fad48b354bc330882c, 0x002284], - ), - F::from_limbs( - [0xd65e0a886ccc459e92185783bbf588, 0xf9623fbe85bf577afaa3b0aa4366e4, 0x003525], - ), - F::from_limbs( - [0xe745f877918fb9616de7a77c440a79, 0xadf0e9def788dbbedd6458f7949e6e, 0x003ec7], - ), - F::from_limbs( - [0x39b33948d004277c7c788388618a21, 0xd5d37bc89361ba87d73f16df38f517, 0x00166f], - ), - F::from_limbs( - [0x83f0c9b72e57d78383877b779e75e0, 0xd17fadd4e9e678b200c8f2c29f103c, 0x005d7d], - ), - F::from_limbs( - [0x0184807cbb3ccd17563741f5395c61, 0x191d96a87bdcf9bfabd2f465302102, 0x002917], - ), - F::from_limbs( - [0xbc1f8283431f31e8a9c8bd0ac6a3a0, 0x8e3592f5016b397a2c35153ca7e451, 0x004ad6], - ), - F::from_limbs( - [0x70b480ff3c8ada180c9ea7df3e2e1c, 0xb24c47cd173318b38cd42c7775b82f, 0x006df1], - ), - F::from_limbs( - [0x4cef8200c1d124e7f3615720c1d1e5, 0xf506e1d066151a864b33dd2a624d24, 0x0005fb], - ), - F::from_limbs( - [0xe0618f7723728fadfafe11076f83fb, 0xb65b78377562265e0e278de1545148, 0x0033f7], - ), - F::from_limbs( - [0xdd427388dae96f520501edf8907c06, 0xf0f7b16607e60cdbc9e07bc083b40a, 0x003ff5], - ), - F::from_limbs( - [0xe5d866c41107068d880fd835f7e59c, 0xfd30fb91fe1846ee4785af0c016f5e, 0x000ff9], - ), - F::from_limbs( - [0xd7cb9c3bed54f87277f026ca081a65, 0xaa222e0b7f2fec4b90825a95d695f4, 0x0063f3], - ), - F::from_limbs( - [0xb426361576c9da4906585ea02264ed, 0x7eb308dc00235023c5a79a89d2bbdf, 0x0032a6], - ), - F::from_limbs( - [0x097dccea879224b6f9a7a05fdd9b14, 0x28a020c17d24e31612606f18054974, 0x004147], - ), - F::from_limbs( - [0xa8b71686c297c367949e884db344bf, 0xdc7f753c1d55d80c7e16600602f704, 0x00100d], - ), - F::from_limbs( - [0x14ecec793bc43b986b6176b24cbb42, 0xcad3b4615ff25b2d59f1a99bd50e4f, 0x0063df], - ), - F::from_limbs( - [0xc575ec1a329a5541f33ede3b9f9399, 0x7826ed24369781fc49d19b208571ff, 0x002b29], - ), - F::from_limbs( - [0xf82e16e5cbc1a9be0cc120c4606c68, 0x2f2c3c7946b0b13d8e366e81529353, 0x0048c4], - ), - F::from_limbs( - [0xd485c1f50cc769de0283afe1cb6584, 0x56553e601b81d52738de72cd45e191, 0x005dda], - ), - F::from_limbs( - [0xe91e410af1949521fd7c4f1e349a7d, 0x50fdeb3d61c65e129f2996d49223c1, 0x001613], - ), - F::from_limbs( - [0x1fe5a5c8cfa8db155697e920b8c870, 0x4ccf3a7b715b6346c4d279d010a3a4, 0x000160], - ), - F::from_limbs( - [0x9dbe5d372eb323eaa96815df473791, 0x5a83ef220beccff313358fd1c761af, 0x00728d], - ), - F::from_limbs( - [0x99795435ca67fef6cc5689c1f540e1, 0x2cd7cfa083667322f2be809c88ff9b, 0x001572], - ), - F::from_limbs( - [0x242aaeca33f4000933a9753e0abf20, 0x7a7b59fcf9e1c016e54989054f05b8, 0x005e7b], - ), - F::from_limbs( - [0xba3d2b430423bbd2fee202f8577732, 0x8b74a34e54522dfa0d10e94de8286c, 0x002fb5], - ), - F::from_limbs( - [0x0366d7bcfa38432d011dfc07a888cf, 0x1bde864f28f6053fcaf72053efdce7, 0x004438], - ), - F::from_limbs( - [0xdbc3b2b164561896ce8e2e452c03e9, 0x67d41c98b8fa9829526ed6eec7578b, 0x0043ec], - ), - F::from_limbs( - [0xe1e0504e9a05e6693171d0bad3fc18, 0x3f7f0d04c44d9b10859932b310adc7, 0x003001], - ), - F::from_limbs( - [0x3a3bcba4e33b5f6e7f2a73337c97eb, 0xb18d510dd282977c9c840d057bc4a8, 0x0012ad], - ), - F::from_limbs( - [0x8368375b1b209f9180d58bcc836816, 0xf5c5d88faac59bbd3b83fc9c5c40ab, 0x00613f], - ), - F::from_limbs( - [0x546f42d2f2136ab70c1a97d4a5a28b, 0x519305a6a34d00a54824fbd3c944df, 0x0032b8], - ), - F::from_limbs( - [0x6934c02d0c489448f3e5672b5a5d76, 0x55c023f6d9fb32948fe30dce0ec074, 0x004135], - ), - F::from_limbs( - [0x565938c72e8dc88dd6a6cbf1ff3e4a, 0xdbdc2c56cc7d4b28d83b2561c2568a, 0x002e17], - ), - F::from_limbs( - [0x674aca38cfce36722959330e00c1b7, 0xcb76fd46b0cae810ffcce44015aec9, 0x0045d5], - ), - F::from_limbs( - [0x77ba8dbe3dfb062809456c05e23c98, 0x14671281b8a4b1b3a9be35f3271afe, 0x001935], - ), - F::from_limbs( - [0x45e97541c060f8d7f6ba92fa1dc369, 0x92ec171bc4a381862e49d3aeb0ea55, 0x005ab8], - ), - F::from_limbs( - [0x1096f45046dd52a99f6a0d133d06aa, 0x861a7b23584626170d92377f7b5e79, 0x004ed7], - ), - F::from_limbs( - [0xad0d0eafb77eac566095f1ecc2f957, 0x2138ae7a25020d22ca75d2225ca6da, 0x002516], - ), - F::from_limbs( - [0xe1ab1e5b93f822d0b94eb237110d9f, 0x5fa125e49db89d2655af277ba7868c, 0x0069f2], - ), - F::from_limbs( - [0xdbf8e4a46a63dc2f46b14cc8eef262, 0x47b203b8df8f96138258e226307ec6, 0x0009fb], - ), - F::from_limbs( - [0x6db8fecb665fa64c727ae95a4f1504, 0x4de5de9d149d0992379cc3665e3b80, 0x006d5c], - ), - F::from_limbs( - [0x4feb043497fc58b38d8515a5b0eafd, 0x596d4b0068ab29a7a06b463b79c9d3, 0x000691], - ), - F::from_limbs( - [0x62eebd2d2d03301254d2facb9c65ec, 0x9789160e7b8c0fe7473fe43df5ffa2, 0x000707], - ), - F::from_limbs( - [0x5ab545d2d158ceedab2d0434639a15, 0x0fca138f01bc235290c82563e205b1, 0x006ce6], - ), - F::from_limbs( - [0x34fabfe22bf195070a40826b0a8a22, 0x496805d716afcfe47a545cdc549868, 0x0045de], - ), - F::from_limbs( - [0x88a9431dd26a69f8f5bf7c94f575df, 0x5deb23c6669863555db3acc5836ceb, 0x002e0f], - ), - F::from_limbs( - [0x8e36a4f207ed7934afa23e4d664fb9, 0xe13b38a0e39adb1535f05011c0f97d, 0x001f5f], - ), - F::from_limbs( - [0x2f6d5e0df66e85cb505dc0b299b048, 0xc617f0fc99ad5824a217b990170bd6, 0x00548d], - ), - F::from_limbs( - [0x0efba3add1439fcda6025fcec5f85e, 0x23e39e3bddb85c5f7c6f1f39bb4a43, 0x004172], - ), - F::from_limbs( - [0xaea85f522d185f3259fd9f313a07a3, 0x836f8b619f8fd6da5b98ea681cbb10, 0x00327b], - ), - F::from_limbs( - [0x50fd367a04217a99f8b35c4feecc72, 0x3aeef6d281f2894bb176dc6c03beb7, 0x0000fa], - ), - F::from_limbs( - [0x6ca6cc85fa3a8466074ca2b011338f, 0x6c6432cafb55a9ee26912d35d4469c, 0x0072f3], - ), - F::from_limbs( - [0x3abeed94b4f1634be87dab9013c5e6, 0x7c84cd1b601bec56a6760508dcf493, 0x002bd5], - ), - F::from_limbs( - [0x82e5156b496a9bb41782536fec3a1b, 0x2ace5c821d2c46e331920498fb10c0, 0x004818], - ), - F::from_limbs( - [0x8726c067a90bbe12024f89b257ee62, 0x2e08318aeeacb408378170769053cb, 0x006b7e], - ), - F::from_limbs( - [0x367d4298555040edfdb0754da8119f, 0x794af8128e9b7f31a086992b47b188, 0x00086f], - ), - F::from_limbs( - [0xd18fa289732f688a5ee031a9245ad3, 0xbc0e64c9d219a8d562efc8186a2d24, 0x002969], - ), - F::from_limbs( - [0xec1460768b2c9675a11fcd56dba52e, 0xeb44c4d3ab2e8a64751841896dd82e, 0x004a83], - ), - F::from_limbs( - [0x427c3d5132b42adb5bf0d17886f914, 0x1b7bf18b694222c41c5896457592c9, 0x0009bb], - ), - F::from_limbs( - [0x7b27c5aecba7d424a40f2d877906ed, 0x8bd7381214061075bbaf735c62728a, 0x006a32], - ), - F::from_limbs( - [0xf4a328d6df60c441d4d6f8a6035ba1, 0x0e4e224ed50ccd12172874ef649f75, 0x0015ff], - ), - F::from_limbs( - [0xc900da291efb3abe2b290659fca460, 0x9905074ea83b6627c0df94b27365dd, 0x005dee], - ), - F::from_limbs( - [0x32eadeb2eaebb63bfd3383d2361246, 0xc05b04c9044fc6c5f0964c53353c45, 0x004c30], - ), - F::from_limbs( - [0x8ab9244d137048c402cc7b2dc9edbb, 0xe6f824d478f86c73e771bd4ea2c90e, 0x0027bc], - ), - F::from_limbs( - [0xe64e1a0d2e560d6e1499e715bda543, 0x278c6eed86f45ec8092b13ec8a7ecd, 0x00484d], - ), - F::from_limbs( - [0xd755e8f2d005f191eb6617ea425abe, 0x7fc6baaff653d471cedcf5b54d8685, 0x002ba0], - ), - F::from_limbs( - [0xa2a69107b6a980b482447428fa23ee, 0x7561de37d95e60cd66c57736477daa, 0x001a2c], - ), - F::from_limbs( - [0x1afd71f847b27e4b7dbb8ad705dc13, 0x31f14b65a3e9d26c7142926b9087a9, 0x0059c1], - ), - F::from_limbs( - [0x34a8335508915c9da5d0cc12724318, 0x78fad28e89573fde62c6b46b658a0f, 0x00242c], - ), - F::from_limbs( - [0x88fbcfaaf5caa2625a2f32ed8dbce9, 0x2e58570ef3f0f35b75415536727b44, 0x004fc1], - ), - F::from_limbs( - [0xd771dbf6e9599e6ae672da7b46fa2c, 0x3a0e0347179ccc16de33046dedfd4f, 0x005276], - ), - F::from_limbs( - [0xe632270915026095198d2484b905d5, 0x6d45265665ab6722f9d50533ea0803, 0x002177], - ), - F::from_limbs( - [0x50f41a25187433d5401e0e3fd3cfc1, 0x51bd4c910d3fe33c91024f7a8e43e3, 0x006e98], - ), - F::from_limbs( - [0x6cafe8dae5e7cb2abfe1f0c02c3040, 0x5595dd0c70084ffd4705ba2749c170, 0x000555], - ), - F::from_limbs( - [0x693136244c47d39006fed3cdaa0066, 0xa274da64baa96fb21ab194d4741dbd, 0x00004a], - ), - F::from_limbs( - [0x5472ccdbb2142b6ff9012b3255ff9b, 0x04de4f38c29ec387bd5674cd63e796, 0x0073a3], - ), - F::from_limbs( - [0x960d51bf6ae6f4e4ab5ac48f2bd9a6, 0x11dd7971e55a4d99e7da903c25f117, 0x006584], - ), - F::from_limbs( - [0x2796b14093750a1b54a53a70d4265b, 0x9575b02b97ede59ff02d7965b2143c, 0x000e69], - ), - F::from_limbs( - [0x60c1d07e6eeefc87b5eac39c929ac3, 0xe6212869277b67c6ec8885a28cd25a, 0x005d5f], - ), - F::from_limbs( - [0x5ce232818f6d02784a153b636d653e, 0xc132013455cccb72eb7f83ff4b32f9, 0x00168d], - ), - F::from_limbs( - [0xddf56e2cd4099acf38136ebca02c29, 0xac21cd03c9f223c6493f18cca8f69b, 0x003a40], - ), - F::from_limbs( - [0xdfae94d32a526430c7ec90435fd3d8, 0xfb315c99b3560f738ec8f0d52f0eb7, 0x0039ac], - ), - F::from_limbs( - [0x02b232af695bcf227fe83d53c1ddee, 0x912d964c2baf45393450556cb92530, 0x006af1], - ), - F::from_limbs( - [0xbaf1d05095002fdd8017c1ac3e2213, 0x162593515198ee00a3b7b4351ee023, 0x0008fc], - ), - F::from_limbs( - [0xa642214f0552fce5dcbdb1a601c023, 0xc5389b8a77563adc60186611634372, 0x001ccb], - ), - F::from_limbs( - [0x1761e1b0f909021a23424d59fe3fde, 0xe21a8e1305f1f85d77efa39074c1e1, 0x005721], - ), - F::from_limbs( - [0x62c16e272104bf004be4bfd097d114, 0xef816bc349c995e8b12f9a81eaa16a, 0x003adb], - ), - F::from_limbs( - [0x5ae294d8dd573fffb41b3f2f682eed, 0xb7d1bdda337e9d5126d86f1fed63e9, 0x003911], - ), - F::from_limbs( - [0xe4c9e2213e75a9aea4435a94a73592, 0x7bacf43b42c5ad0303a3834b35fc71, 0x005f05], - ), - F::from_limbs( - [0xd8da20debfe655515bbca46b58ca6f, 0x2ba635623a828636d4648656a208e1, 0x0014e8], - ), - F::from_limbs( - [0xaea472d254c55dee3ac1bc2e985d0e, 0x481c5fd3e525670a5d517f05737bda, 0x005dc7], - ), - F::from_limbs( - [0x0eff902da996a111c53e42d167a2f3, 0x5f36c9c99822cc2f7ab68a9c648979, 0x001626], - ), - F::from_limbs( - [0x95714916b52a44a1d1b433c6d47388, 0xf72b124899b39b47aca9f79b77ff22, 0x000957], - ), - F::from_limbs( - [0x2832b9e94931ba5e2e4bcb392b8c79, 0xb0281754e39497f22b5e1206600631, 0x006a95], - ), - F::from_limbs( - [0x3dab9667fd8d6bc0b912fc6ebb6b4d, 0xa957470b3b35b9ebd8849e767d8f1a, 0x00723d], - ), - F::from_limbs( - [0x7ff86c9800ce933f46ed02914494b4, 0xfdfbe2924212794dff836b2b5a7639, 0x0001af], - ), - F::from_limbs( - [0x1a6dd107013e8f532cb2e6d8d5aba7, 0x5fb4f46a87242dcbdd1d919b4e16c6, 0x004c9c], - ), - F::from_limbs( - [0xa33631f8fd1d6facd34d18272a545a, 0x479e3532f624056dfaea780689ee8d, 0x002751], - ), - F::from_limbs( - [0xdefdd5e0a986ed1c437a27915897ce, 0x95170c6c7a701e40b397a45127173a, 0x0043fb], - ), - F::from_limbs( - [0xdea62d1f54d511e3bc85d76ea76833, 0x123c1d3102d814f924706550b0ee18, 0x002ff2], - ), - F::from_limbs( - [0xbba69476fa5eda3561bfd6c71847fd, 0xc0f1216b6c3e53e37f41765245dfb3, 0x003b35], - ), - F::from_limbs( - [0x01fd6e8903fd24ca9e402838e7b804, 0xe66208321109df5658c6934f9225a0, 0x0038b7], - ), - F::from_limbs( - [0x1e4f3c2848bde33792a0704d7f3d5c, 0xa41db4f4117fa6964523fbe0428afd, 0x0028ea], - ), - F::from_limbs( - [0x9f54c6d7b59e1bc86d5f8eb280c2a5, 0x033574a96bc88ca392e40dc1957a56, 0x004b03], - ), - F::from_limbs( - [0x499179728f96587b47364abb902a7f, 0x06969e493afaf1cae603a9624c7f48, 0x0026cb], - ), - F::from_limbs( - [0x7412898d6ec5a684b8c9b4446fd582, 0xa0bc8b54424d416ef204603f8b860b, 0x004d22], - ), - F::from_limbs( - [0x2eab334af1e1da6d7b0ac353e2e894, 0xc71899852062fc6ecc48d2fcc38796, 0x0034e7], - ), - F::from_limbs( - [0x8ef8cfb50c7a249284f53bac1d176d, 0xe03a90185ce536cb0bbf36a5147dbd, 0x003f05], - ), - F::from_limbs( - [0xbaaa75d37ac780d245d76b67f27d60, 0x6941c2658187de20aaf30c6e820a8f, 0x0009bf], - ), - F::from_limbs( - [0x02f98d2c83947e2dba2893980d82a1, 0x3e116737fbc055192d14fd3355fac4, 0x006a2e], - ), - F::from_limbs( - [0x4d58135e5084d45283c7e8f859236e, 0xd03359beb3ea94caca1076aabb329a, 0x002fc3], - ), - F::from_limbs( - [0x704befa1add72aad7c381607a6dc93, 0xd71fcfdec95d9e6f0df792f71cd2b9, 0x004429], - ), - F::from_limbs( - [0x10e5e09d4a435c9c77c878f2bb8464, 0xf72162824b43a150ed4182d6c5cc71, 0x0021a4], - ), - F::from_limbs( - [0xacbe2262b418a2638837860d447b9d, 0xb031c71b320491e8eac686cb1238e2, 0x005248], - ), - F::from_limbs( - [0xf51d82b4bab62433c15d109a2b1351, 0xc51b3151c9ef8fa6d009cc1e058c1f, 0x000714], - ), - F::from_limbs( - [0xc886804b43a5dacc3ea2ee65d4ecb0, 0xe237f84bb358a39307fe3d83d27933, 0x006cd8], - ), - F::from_limbs( - [0x34ef3e831e2ed58ba307e4e30ab1d4, 0x08d18af837ce39c12f6fd503a491da, 0x006d88], - ), - F::from_limbs( - [0x88b4c47ce02d29745cf81a1cf54e2d, 0x9e819ea54579f978a898349e337379, 0x000665], - ), - F::from_limbs( - [0x336da7150fc15dddd56ac9a7dc56c7, 0x7d5317cd6abce54817f7fd9bdce46e, 0x004011], - ), - F::from_limbs( - [0x8a365beaee9aa1222a95355823a93a, 0x2a0011d0128b4df1c0100c05fb20e5, 0x0033dc], - ), - F::from_limbs( - [0x6ec9d66ed0d05112d7c36272dfa403, 0xc5d21eec1555ed81ca1bbc982e7922, 0x001ec1], - ), - F::from_limbs( - [0x4eda2c912d8baded283c9c8d205bfe, 0xe1810ab167f245b80dec4d09a98c31, 0x00552b], - ), - F::from_limbs( - [0xfa8f9106dce56dec7ec96011f79a3c, 0x1ac2f79b05e28225f2afe1f417c2c5, 0x0052ee], - ), - F::from_limbs( - [0xc31471f92176911381369eee0865c5, 0x8c9032027765b113e55827adc0428d, 0x0020ff], - ), - F::from_limbs( - [0x088b2b3a9aec775d554ddf3121ab7d, 0xfa53f3c7787f73c5ee3d79f317d56d, 0x00357f], - ), - F::from_limbs( - [0xb518d7c5636f87a2aab21fcede5484, 0xacff35d604c8bf73e9ca8faec02fe6, 0x003e6d], - ), - F::from_limbs( - [0xab1d2a69326150035433bf5ab27518, 0x9450acd956d2d3e5beb3e22dd68c4c, 0x0011d9], - ), - F::from_limbs( - [0x1286d896cbfaaefcabcc3fa54d8ae9, 0x13027cc426755f5419542774017907, 0x006214], - ), - F::from_limbs( - [0xb422d75c3d666f868f9ace7f0c05ad, 0x08fa0da5731b7a4f6bf340fd338d21, 0x003186], - ), - F::from_limbs( - [0x09812ba3c0f58f7970653080f3fa54, 0x9e591bf80a2cb8ea6c14c8a4a47832, 0x004267], - ), - F::from_limbs( - [0xa13ca9ab7aec628d9e085dbcf627b3, 0x2ceae6375943e17d761d599629634f, 0x0061f7], - ), - F::from_limbs( - [0x1c675954836f9c7261f7a14309d84e, 0x7a684366240451bc61eab00baea204, 0x0011f6], - ), - F::from_limbs( - [0x5a435445e20ad1603533d63a46811e, 0x107acd46e6ead73902c051a4f47a89, 0x001099], - ), - F::from_limbs( - [0x6360aeba1c512d9fcacc28c5b97ee3, 0x96d85c56965d5c00d547b7fce38aca, 0x006354], - ), - F::from_limbs( - [0x0f556c7dd965c9e662abd652bab712, 0x2868b33df772d83728a650fec1696a, 0x0039ae], - ), - F::from_limbs( - [0xae4e968224f635199d5428ad4548ef, 0x7eea765f85d55b02af61b8a3169be9, 0x003a3f], - ), - F::from_limbs( - [0x095888daa8cfdbbb8cc4d2edbd46d3, 0xae4dd751366cffd24594deb8870dde, 0x0007e3], - ), - F::from_limbs( - [0xb44b7a25558c2344733b2c1242b92e, 0xf905524c46db336792732ae950f775, 0x006c09], - ), - F::from_limbs( - [0x5aeccb05e4e36060803fc8de4668e8, 0x193723dba47ad8cbb8d047f3a39b0c, 0x00414b], - ), - F::from_limbs( - [0x62b737fa19789e9f7fc03621b99719, 0x8e1c05c1d8cd5a6e1f37c1ae346a47, 0x0032a2], - ), - F::from_limbs( - [0x1853b4ee0a8f23056507ef2eaa6a09, 0x0a90ca49d553e549f2ee40567332ca, 0x002d21], - ), - F::from_limbs( - [0xa5504e11f3ccdbfa9af80fd15595f8, 0x9cc25f53a7f44defe519c94b64d289, 0x0046cc], - ), - F::from_limbs( - [0x2624f47a7cc3c3863217230f4471f9, 0xa98b3d9bb1a86d72e5e027b600ea16, 0x00382c], - ), - F::from_limbs( - [0x977f0e8581983b79cde8dbf0bb8e08, 0xfdc7ec01cb9fc5c6f227e1ebd71b3d, 0x003bc0], - ), - F::from_limbs( - [0x833c9a0c4b5810f5b4c6b50487ae1f, 0x21f3bb92f58d494135cedd7cc2a033, 0x001be4], - ), - F::from_limbs( - [0x3a6768f3b303ee0a4b3949fb7851e2, 0x855f6e0a87bae9f8a2392c25156520, 0x005809], - ), - F::from_limbs( - [0xf382d2cf899e1c66a46ab4699489c6, 0xcabaccd26113e0b7a9efc26faa9532, 0x002803], - ), - F::from_limbs( - [0xca21303074bde2995b954a966b763b, 0xdc985ccb1c3452822e1847322d7020, 0x004be9], - ), - F::from_limbs( - [0x6910d639aefe17754b6a53fddc4c94, 0x88cd7576b823f47dfc583fe631a439, 0x0021d0], - ), - F::from_limbs( - [0x54932cc64f5de78ab495ab0223b36d, 0x1e85b426c5243ebbdbafc9bba6611a, 0x00521d], - ), - F::from_limbs( - [0x0d613cc36bfa358f848821e4356469, 0x09516722769df28de6c16bb4bbee36, 0x002f2b], - ), - F::from_limbs( - [0xb042c63c9261c9707b77dd1bca9b98, 0x9e01c27b06aa40abf1469ded1c171d, 0x0044c2], - ), - F::from_limbs( - [0x75d2d8c194a702ae113bb568e33c3c, 0xfd9bbe2b455b567ce9424c694ca7ba, 0x00596e], - ), - F::from_limbs( - [0x47d12a3e69b4fc51eec449971cc3c5, 0xa9b76b7237ecdcbceec5bd388b5d99, 0x001a7e], - ), - F::from_limbs( - [0xd67644ecb1ec23b5e2c92f7207066f, 0x3669f0b510aff120489b258ca13d29, 0x000c90], - ), - F::from_limbs( - [0xe72dbe134c6fdb4a1d36cf8df8f992, 0x70e938e86c9842198f6ce41536c829, 0x00675d], - ), - F::from_limbs( - [0xc313287b50ee6ceb107d107792e331, 0xf5f496036dda75d6467e78880bd899, 0x001f92], - ), - F::from_limbs( - [0xfa90da84ad6d9214ef82ee886d1cd0, 0xb15e939a0f6dbd6391899119cc2cb9, 0x00545a], - ), - F::from_limbs( - [0x0bd4e6a7e888998588ec8712bbb533, 0xc466e9f46b9b99b02b0d0da9e471ba, 0x003367], - ), - F::from_limbs( - [0xb1cf1c5815d3657a771377ed444ace, 0xe2ec3fa911ac9989acfafbf7f39399, 0x004085], - ), - F::from_limbs( - [0x3be97480c55418f45dadfa7ab57531, 0xea964384940530c5e2bc37a1533ac3, 0x0066b4], - ), - F::from_limbs( - [0x81ba8e7f3907e60ba25204854a8ad0, 0xbcbce618e9430273f54bd20084ca90, 0x000d38], - ), - F::from_limbs( - [0xc2430643e8182d35323eec80747457, 0xfcbdae14d82de463155db41faca3da, 0x006021], - ), - F::from_limbs( - [0xfb60fcbc1643d1cacdc1127f8b8baa, 0xaa957b88a51a4ed6c2aa55822b6178, 0x0013cb], - ), - F::from_limbs( - [0xc7a2c8ab4cebe3229d28add06fa1a0, 0x36b466b8ceec2076b2987fe06886b8, 0x001769], - ), - F::from_limbs( - [0xf6013a54b1701bdd62d7512f905e61, 0x709ec2e4ae5c12c3256f89c16f7e9a, 0x005c84], - ), - F::from_limbs( - [0xd8a879169dd8991a08d5e4e2e01343, 0x192fb0cd079daf0f64a02464f057f6, 0x00679a], - ), - F::from_limbs( - [0xe4fb89e9608365e5f72a1a1d1fecbe, 0x8e2378d075aa842a7367e53ce7ad5c, 0x000c53], - ), - F::from_limbs( - [0xb5485481194aefa65b28ed517d4354, 0xde37523e64d4ddbaddb9f90e7d697a, 0x000019], - ), - F::from_limbs( - [0x085bae7ee5110f59a4d711ae82bcad, 0xc91bd75f1873557efa4e10935a9bd9, 0x0073d3], - ), - F::from_limbs( - [0x970eedd0930abc1f41e0a2ec24c764, 0x76aca5cbffa191b659acf68394e8b7, 0x006b2f], - ), - F::from_limbs( - [0x2695152f6b5142e0be1f5c13db389d, 0x30a683d17da6a1837e5b131e431c9c, 0x0008be], - ), - F::from_limbs( - [0xea426fe3382da5ccd6232e773a7be0, 0xbccf1d2163b24879f55520eec3096c, 0x005fc0], - ), - F::from_limbs( - [0xd361931cc62e593329dcd088c58421, 0xea840c7c1995eabfe2b2e8b314fbe6, 0x00142c], - ), - F::from_limbs( - [0x5ded1899239a88898b0554d218a61c, 0xd11ff6f7fa6cbcbe9301f686e86bf9, 0x0044c1], - ), - F::from_limbs( - [0x5fb6ea66dac1767674faaa2de759e5, 0xd63332a582db767b4506131aef995a, 0x002f2b], - ), - F::from_limbs( - [0x62a1c1fa6e32aa1b529e40de1d7c4d, 0x5788394251987c11e63de35442f626, 0x0054e6], - ), - F::from_limbs( - [0x5b024105902954e4ad61be21e283b4, 0x4fcaf05b2bafb727f1ca264d950f2d, 0x001f07], - ), - F::from_limbs( - [0x23483beb660aa3126c1c8e445a8a5b, 0x12a22a888026f6f5faa93431d39300, 0x005726], - ), - F::from_limbs( - [0x9a5bc71498515bed93e370bba575a6, 0x94b0ff14fd213c43dd5ed570047253, 0x001cc7], - ), - F::from_limbs( - [0xd34a8629e2a390579464a37d34c01f, 0xe95e089c5912926d173883e9142489, 0x006800], - ), - F::from_limbs( - [0xea597cd61bb86ea86b9b5b82cb3fe2, 0xbdf521012435a0ccc0cf85b8c3e0c9, 0x000bec], - ), - F::from_limbs( - [0x12f7a9a2ba4c6f2289841708c47e76, 0x8d51514e6d3ba1fb1ad2f91bea10fe, 0x006c5c], - ), - F::from_limbs( - [0xaaac595d440f8fdd767be7f73b818b, 0x1a01d84f100c913ebd351085edf455, 0x000791], - ), - F::from_limbs( - [0x1084d1e459c2644faaa91388ae574d, 0xed8c43ec33b5e17e82746da5a2b076, 0x0047d7], - ), - F::from_limbs( - [0xad1f311ba4999ab05556eb7751a8b4, 0xb9c6e5b1499251bb55939bfc3554dd, 0x002c15], - ), - F::from_limbs( - [0xf9870d09b49934594ef32abcf775b9, 0xd339e9bdd168c902e32bba607579dc, 0x00220b], - ), - F::from_limbs( - [0xc41cf5f649c2caa6b10cd443088a48, 0xd4193fdfabdf6a36f4dc4f41628b76, 0x0051e1], - ), - F::from_limbs( - [0xba5587cee31ba92218afc24fb3fb6d, 0x26f47becfa9260ab9a24e417ab6e2a, 0x00010c], - ), - F::from_limbs( - [0x034e7b311b4055dde7503cb04c0494, 0x805eadb082b5d28e3de3258a2c9729, 0x0072e1], - ), - F::from_limbs( - [0xb1101b4a6a67fce5fb1ba223a764f8, 0x59b150561c08ee82c31d8e145688a9, 0x001f99], - ), - F::from_limbs( - [0x0c93e7b593f4021a04e45cdc589b09, 0x4da1d947613f44b714ea7b8d817caa, 0x005454], - ), - F::from_limbs( - [0x33e7e7f45b14fb3783b2614bebb0c2, 0x6a09c6e30dc4df9d916b36a30c5404, 0x006136], - ), - F::from_limbs( - [0x89bc1b0ba34703c87c4d9db4144f3f, 0x3d4962ba6f83539c469cd2fecbb14f, 0x0012b7], - ), - F::from_limbs( - [0x3eb77e93fdfad62d5d0f5c33535fd6, 0x31fb8102066d8296d9a9c6a10e2512, 0x006457], - ), - F::from_limbs( - [0x7eec846c006128d2a2f0a2ccaca02b, 0x7557a89b76dab0a2fe5e4300c9e041, 0x000f96], - ), - F::from_limbs( - [0x8fd58359d39d07910b8b9b66684add, 0x7d8c49ec4fb7f6900d91db7be189f1, 0x005363], - ), - F::from_limbs( - [0x2dce7fa62abef76ef474639997b524, 0x29c6dfb12d903ca9ca762e25f67b62, 0x00208a], - ), - F::from_limbs( - [0x5b9ae4008d73829ab0eaa775faa012, 0x76e29080b50f1cd896a4b3705edc8a, 0x004256], - ), - F::from_limbs( - [0x62091eff70e87c654f15578a055fef, 0x3070991cc8391661416356317928c9, 0x003197], - ), - F::from_limbs( - [0x5415c7e32b57d8f14c6ea5a428c753, 0x2871d8bbf1938804b57eba0c7f48b2, 0x005ea3], - ), - F::from_limbs( - [0x698e3b1cd304260eb391595bd738ae, 0x7ee150e18bb4ab3522894f9558bca1, 0x00154a], - ), - F::from_limbs( - [0x454cc072521a80dee4982fe73f0476, 0xc15b4cc4b5699059b96ae5d8e22ca0, 0x002ec1], - ), - F::from_limbs( - [0x7857428dac417e211b67cf18c0fb8b, 0xe5f7dcd8c7dea2e01e9d23c8f5d8b3, 0x00452b], - ), - F::from_limbs( - [0x6a4174f9d391c3c1bc0e2e75444e71, 0xd2c2aeff4f7c1033a694607d9089ee, 0x00585f], - ), - F::from_limbs( - [0x53628e062aca3b3e43f1d08abbb190, 0xd4907a9e2dcc23063173a924477b65, 0x001b8d], - ), - F::from_limbs( - [0x077fb2af5f3968498cb1c004d751da, 0x9f9a7567a04fcef4eeac0deb62a9e2, 0x002f41], - ), - F::from_limbs( - [0xb62450509f2296b6734e3efb28ae27, 0x07b8b435dcf86444e95bfbb6755b71, 0x0044ac], - ), - F::from_limbs( - [0x7f4b22ee86c90c6e3bf01c498740f6, 0xc509aec45575756fdf33240b9eb8c2, 0x004322], - ), - F::from_limbs( - [0x3e58e0117792f291c40fe2b678bf0b, 0xe2497ad927d2bdc9f8d4e596394c91, 0x0030ca], - ), - F::from_limbs( - [0x62ff60cc15dea0c8e2dd3ed107d499, 0x0cdd9173bbfd3e8c95924f0548cbe5, 0x004c1c], - ), - F::from_limbs( - [0x5aa4a233e87d5e371d22c02ef82b68, 0x9a759829c14af4ad4275ba9c8f396e, 0x0027d1], - ), - F::from_limbs( - [0xc9f9aa166bf26bc0797107b1cb3124, 0x3826c895df7f4b00e4140110a4aed7, 0x001896], - ), - F::from_limbs( - [0xf3aa58e99269933f868ef74e34cedd, 0x6f2c61079dc8e838f3f4089133567b, 0x005b57], - ), - F::from_limbs( - [0x6b1f176bbbafe77f0e8114b6a0d047, 0xe6b5bd56753f2c848ff6620f2d19a0, 0x0021fa], - ), - F::from_limbs( - [0x5284eb9442ac1780f17eea495f2fba, 0xc09d6c47080906b54811a792aaebb3, 0x0051f2], - ), - F::from_limbs( - [0x24dfe0eff265eeb9f443beec8e4a98, 0xd12f488a4f008dde048d37f34632d0, 0x006ab6], - ), - F::from_limbs( - [0x98c422100bf610460bbc401371b569, 0xd623e1132e47a55bd37ad1ae91d283, 0x000936], - ), - F::from_limbs( - [0x89389d045ecd85912bd03df9174127, 0x5678784bdd314b69773fb25cf78088, 0x0009e9], - ), - F::from_limbs( - [0x346b65fb9f8e796ed42fc106e8beda, 0x50dab151a016e7d060c85744e084cb, 0x006a04], - ), - F::from_limbs( - [0xb2c43c2678b650937dff33b29a7067, 0x10012f49cbdbb0c057cfa5a042c808, 0x0032f6], - ), - F::from_limbs( - [0x0adfc6d985a5ae6c8200cb4d658f9a, 0x9751fa53b16c827980386401953d4b, 0x0040f7], - ), - F::from_limbs( - [0x89db099f5aa3d61cf9c8103c36f106, 0x04026adc48a1cb249422c0b1923c84, 0x00420f], - ), - F::from_limbs( - [0x33c8f960a3b828e30637eec3c90efb, 0xa350bec134a6681543e548f045c8cf, 0x0031de], - ), - F::from_limbs( - [0x131960517113c6aa3f1fa1135a9163, 0xb023314a82dbfe42fdcdc306e96f61, 0x006fbc], - ), - F::from_limbs( - [0xaa8aa2ae8d483855c0e05deca56e9e, 0xf72ff852fa6c34f6da3a469aee95f2, 0x000430], - ), - F::from_limbs( - [0xa8dfb2d95d08eebad594175ea0777d, 0xd15d1348757839ea78d5ebd557ac68, 0x000fa5], - ), - F::from_limbs( - [0x14c45026a15310452a6be7a15f8884, 0xd5f6165507cff94f5f321dcc8058eb, 0x006447], - ), - F::from_limbs( - [0xb49eae14ca61adfb5a74bbf196694f, 0x78e42eccf77a299af2a89d3d9a9503, 0x0004a5], - ), - F::from_limbs( - [0x090554eb33fa5104a58b430e6996b2, 0x2e6efad085ce099ee55f6c643d7050, 0x006f48], - ), - F::from_limbs( - [0xc57c7aae3c5d192fc39139d30accaa, 0x6a37e78478720ac2b9a3a71bc6dee6, 0x0052ff], - ), - F::from_limbs( - [0xf8278851c1fee5d03c6ec52cf53357, 0x3d1b421904d628771e64628611266c, 0x0020ee], - ), - F::from_limbs( - [0xbfe4d04bc3af5abd41931e6ad8fbc4, 0xb4226f2d37b4092596aa02af41df19, 0x0052df], - ), - F::from_limbs( - [0xfdbf32b43aaca442be6ce09527043d, 0xf330ba7045942a14415e06f2962639, 0x00210d], - ), - F::from_limbs( - [0x5d4c8253345fc0da9862bcfa4152a5, 0xb67b052567d36d907e855e18e24fe2, 0x001666], - ), - F::from_limbs( - [0x605780acc9fc3e25679d4205bead5c, 0xf0d824781574c5a95982ab88f5b571, 0x005d86], - ), - F::from_limbs( - [0x2a6b489ba9d4071dd477a1a8fb9943, 0x2f1ccbe3e2f477c805e7d68aa60033, 0x0057e3], - ), - F::from_limbs( - [0x9338ba645487f7e22b885d570466be, 0x78365db99a53bb71d2203317320520, 0x001c0a], - ), - F::from_limbs( - [0x1ab551c326a152b58257bb2e5d71db, 0xbc560f4a92e069085360a46e5262e7, 0x004bf9], - ), - F::from_limbs( - [0xa2eeb13cd7baac4a7da843d1a28e26, 0xeafd1a52ea67ca3184a7653385a26c, 0x0027f3], - ), - F::from_limbs( - [0x58997c0bcf1c7ec8ed5cac7b9d2bac, 0xb301523084ffbb94572c1757cd8070, 0x001998], - ), - F::from_limbs( - [0x650a86f42f3f803712a3528462d455, 0xf451d76cf84877a580dbf24a0a84e3, 0x005a54], - ), - F::from_limbs( - [0xbf85946a2dad3bd8b9c1884f38f043, 0x2e2d253894999a00ad991d57396878, 0x000645], - ), - F::from_limbs( - [0xfe1e6e95d0aec327463e76b0c70fbe, 0x79260464e8ae99392a6eec4a9e9cda, 0x006da8], - ), - F::from_limbs( - [0x79d0abcc6b92776cfd5fd90654dc47, 0x92b5ba1dbfdb4e6157ba4c1415819b, 0x001b33], - ), - F::from_limbs( - [0x43d3573392c9879302a025f9ab23ba, 0x149d6f7fbd6ce4d8804dbd8dc283b8, 0x0058ba], - ), - F::from_limbs( - [0x68d3d308f6af752367d21449c614fb, 0x7acb9966a71884d4224a351c246aaa, 0x001e8c], - ), - F::from_limbs( - [0x54d02ff707ac89dc982deab639eb06, 0x2c879036d62fae65b5bdd485b39aa9, 0x005561], - ), - F::from_limbs( - [0xd1347b378fbf96e206da11a5d36306, 0x0a11a0f704f4fc3e8acfe0f8245f0a, 0x00564c], - ), - F::from_limbs( - [0xec6f87c86e9c681df925ed5a2c9cfb, 0x9d4188a6785336fb4d3828a9b3a648, 0x001da1], - ), - F::from_limbs( - [0xad4b8238fb15a2cd5f7b9753dbc950, 0x8876214b5ea64b7394e9aacb5a271f, 0x002bb6], - ), - F::from_limbs( - [0x105880c703465c32a08467ac2436b1, 0x1edd08521ea1e7c6431e5ed67dde34, 0x004837], - ), - F::from_limbs( - [0x63fff9337fecd313c7c03ef17a2033, 0xabee7c028923cc0affedaf37b5bb4e, 0x001c39], - ), - F::from_limbs( - [0x59a409cc7e6f2bec383fc00e85dfce, 0xfb64ad9af424672ed81a5a6a224a05, 0x0057b3], - ), - F::from_limbs( - [0x91a1faeb4b36d5cc2201b834e74a04, 0x8f5b87d7a05090eb099e349e17639b, 0x00605b], - ), - F::from_limbs( - [0x2c020814b3252933ddfe46cb18b5fd, 0x17f7a1c5dcf7a24ece69d503c0a1b8, 0x001392], - ), - F::from_limbs( - [0xa2df4d8921e8aff1867882e0b9cae8, 0xcb41966a5661788743c7818f06051d, 0x0006f3], - ), - F::from_limbs( - [0x1ac4b576dc734f0e79877c1f463519, 0xdc11933326e6bab294408812d20036, 0x006cf9], - ), - F::from_limbs( - [0x5c5d4be5b92c7b5ab670793f534c85, 0x7f1658569f752082ae264b6ae7cc8d, 0x003a09], - ), - F::from_limbs( - [0x6146b71a452f83a5498f85c0acb37c, 0x283cd146ddd312b729e1be36f038c6, 0x0039e4], - ), - F::from_limbs( - [0x6736009fa130119f9a06a539dcc7bd, 0xf5a12bf093b927ab9acee22625ab94, 0x005351], - ), - F::from_limbs( - [0x566e02605d2bed6065f959c6233844, 0xb1b1fdace98f0b8e3d39277bb259bf, 0x00209b], - ), - F::from_limbs( - [0x24c2fd6a62162b6b37d19f83bb87e0, 0xac8524669b3262d47d6f3069a6b4a9, 0x002146], - ), - F::from_limbs( - [0x98e105959c45d394c82e5f7c447821, 0xface0536e215d0655a98d9383150aa, 0x0052a6], - ), - F::from_limbs( - [0xa24a9bd470cd67ca0a0220aec02fa4, 0x3ba7dfb14308007b0e472badec8d39, 0x0057e0], - ), - F::from_limbs( - [0x1b59672b8d8e9735f5fdde513fd05d, 0x6bab49ec3a4032bec9c0ddf3eb781a, 0x001c0d], - ), - F::from_limbs( - [0xbf80d6881dc2190c850dd65aaaaefa, 0x4708ac66bf63479ddf15c7b33589c3, 0x001bab], - ), - F::from_limbs( - [0xfe232c77e099e5f37af228a5555107, 0x604a7d36bde4eb9bf8f241eea27b8f, 0x005842], - ), - F::from_limbs( - [0xd6c764f82602a7228bc1c0e7e3fdf5, 0x4cef0ca52f27785009eb7e7ecdaa03, 0x000658], - ), - F::from_limbs( - [0xe6dc9e07d85957dd743e3e181c020c, 0x5a641cf84e20bae9ce1c8b230a5b4f, 0x006d95], - ), - F::from_limbs( - [0x74957c1d2728744430911d2ef02d6c, 0x00c1a3aeef45073c6cb1200432d367, 0x00688a], - ), - F::from_limbs( - [0x490e86e2d7338abbcf6ee1d10fd295, 0xa69185ee8e032bfd6b56e99da531ec, 0x000b63], - ), - F::from_limbs( - [0xb39fb2d51ad78d473ea412a309a77c, 0x9915614f3901e5434787eb246e5cea, 0x003d3d], - ), - F::from_limbs( - [0x0a04502ae38471b8c15bec5cf65885, 0x0e3dc84e44464df690801e7d69a869, 0x0036b0], - ), - F::from_limbs( - [0x7203a676aa3fae360419ba7b4a732f, 0x208bd4a64316c3de999d9c5ccf8954, 0x00200d], - ), - F::from_limbs( - [0x4ba05c89541c50c9fbe64484b58cd2, 0x86c754f73a316f5b3e6a6d45087bff, 0x0053e0], - ), - F::from_limbs( - [0xcb18f70b1666477b49fff1eb1daf38, 0x4e933af6252c6dc58e41cd427dbe5f, 0x00009c], - ), - F::from_limbs( - [0xf28b0bf4e7f5b784b6000d14e250c9, 0x58bfeea7581bc57449c63c5f5a46f3, 0x007351], - ), - F::from_limbs( - [0x4567cac5c777f44c56fb3866d3a809, 0xffb392002a5b378787829b9e0abd13, 0x0067b3], - ), - F::from_limbs( - [0x783c383a36e40ab3a904c6992c57f8, 0xa79f979d52ecfbb250856e03cd4840, 0x000c39], - ), - F::from_limbs( - [0xdca0ae49bc978f29ebf33886000c8a, 0xabc5b7c03be4cc772df2b06be7d8d7, 0x0053d7], - ), - F::from_limbs( - [0xe10354b641c46fd6140cc679fff377, 0xfb8d71dd416366c2aa155935f02c7b, 0x002015], - ), - F::from_limbs( - [0x940867fad3080cff61da335d218c69, 0x9d4a6f36bb328011781ae2eb8338e5, 0x00596a], - ), - F::from_limbs( - [0x299b9b052b53f2009e25cba2de7398, 0x0a08ba66c215b3285fed26b654cc6e, 0x001a83], - ), - F::from_limbs( - [0x542b67f83c49199e3ccb8dd576b0f5, 0xadb736656798954b937d9da775086a, 0x004a41], - ), - F::from_limbs( - [0x69789b07c212e561c334712a894f0c, 0xf99bf33815af9dee448a6bfa62fce9, 0x0029ab], - ), - F::from_limbs( - [0x76cfa8688aad937936281d725764c6, 0xda887f345f79f45562e9505e5e255d, 0x005b21], - ), - F::from_limbs( - [0x46d45a9773ae6b86c9d7e18da89b3b, 0xcccaaa691dce3ee4751eb94379dff6, 0x0018cb], - ), - F::from_limbs( - [0xeafd87bcdafda8cb6a70e04f526a21, 0x340846157bd5c13b498f50314635ca, 0x0029d8], - ), - F::from_limbs( - [0xd2a67b43235e5634958f1eb0ad95e0, 0x734ae388017271fe8e78b97091cf88, 0x004a15], - ), - F::from_limbs( - [0x1da259503de1389ec8f2d00aa19cc2, 0xbf6ff47ecf4640000ffa7ee6b74af1, 0x002250], - ), - F::from_limbs( - [0xa001a9afc07ac661370d2ef55e633f, 0xe7e3351eae01f339c80d8abb20ba62, 0x00519c], - ), - F::from_limbs( - [0x03dab19044e968a5e53cecd36dabb8, 0xfcab3ad741ebc624a6bf28c35e8472, 0x00592e], - ), - F::from_limbs( - [0xb9c9516fb972965a1ac3122c925449, 0xaaa7eec63b5c6d153148e0de7980e1, 0x001abe], - ), - F::from_limbs( - [0x9d5d562fb82e29d6e0934f96c7a283, 0x5287a19abf3c4b844ced5de375e7cb, 0x0009c6], - ), - F::from_limbs( - [0x2046acd0462dd5291f6caf69385d7e, 0x54cb8802be0be7b58b1aabbe621d88, 0x006a27], - ), - F::from_limbs( - [0x726517ced91929d4910b491b0f88ae, 0x5ec1c5949c07f55d7b47c3dbbb90a2, 0x0010c6], - ), - F::from_limbs( - [0x4b3eeb312542d52b6ef4b5e4f07753, 0x48916408e1403ddc5cc045c61c74b1, 0x006327], - ), - F::from_limbs( - [0x93ecc4fa926abf15507909d573d669, 0x2ddbb6673ea3ae29036141e291016e, 0x00394a], - ), - F::from_limbs( - [0x29b73e056bf13feaaf86f52a8c2998, 0x797773363ea48510d4a6c7bf4703e5, 0x003aa3], - ), - F::from_limbs( - [0xdb8c0f19e4d5789314520692a107bf, 0x559da0d834d894ef9b74b96b0020a5, 0x006d5b], - ), - F::from_limbs( - [0xe217f3e61986866cebadf86d5ef842, 0x51b588c5486f9e4a3c935036d7e4ad, 0x000692], - ), - F::from_limbs( - [0x4ce9d6b7ae56c76a7878b810d6b679, 0xd0cbecb1569285bfd4bf0aae06bd36, 0x004ed8], - ), - F::from_limbs( - [0x70ba2c4850053795878746ef294988, 0xd6873cec26b5ad7a0348fef3d1481d, 0x002514], - ), - F::from_limbs( - [0x9a7d5bdaf34775fa3f8e60a92902ec, 0x7e6ad59835800491be3e124c5646a5, 0x0052a2], - ), - F::from_limbs( - [0x2326a7250b148905c0719e56d6fd15, 0x28e8540547c82ea819c9f75581beae, 0x00214b], - ), - F::from_limbs( - [0x930a3974130cf21f0bf5b12e2ad57b, 0xa88d3bb843f1e59a0efbb9fbdaac29, 0x003f00], - ), - F::from_limbs( - [0x2a99c98beb4f0ce0f40a4dd1d52a86, 0xfec5ede539564d9fc90c4fa5fd592a, 0x0034ec], - ), - F::from_limbs( - [0x0ca2ec307a54e23de675002a1dc598, 0xeaab319d871b6f8272abdf5878899b, 0x001327], - ), - F::from_limbs( - [0xb10116cf84071cc2198afed5e23a69, 0xbca7f7fff62cc3b7655c2a495f7bb8, 0x0060c5], - ), - F::from_limbs( - [0x7b78bbf9fcf6ac1a8ce009481b06f4, 0xcd295c0ef9e69f7e9ea74befd40aec, 0x00681c], - ), - F::from_limbs( - [0x422b4706016552e5731ff5b7e4f90d, 0xda29cd8e836193bb3960bdb203fa67, 0x000bd0], - ), - F::from_limbs( - [0x684c6a14b706e6a4e458d205940a65, 0xb4baeca30de2fa564db1db4df55ad5, 0x00160f], - ), - F::from_limbs( - [0x555798eb4755185b1ba72cfa6bf59c, 0xf2983cfa6f6538e38a562e53e2aa7e, 0x005ddd], - ), - F::from_limbs( - [0x357125c09f65d2f6bc04f1ccc8a05b, 0x75ece38b6b216509c259b1a0a550a2, 0x002e7a], - ), - F::from_limbs( - [0x8832dd3f5ef62c0943fb0d33375fa6, 0x316646121226ce3015ae580132b4b1, 0x004573], - ), - F::from_limbs( - [0x21340434d0af3d0e2bce377d6c3748, 0x53137d74125bb90512b69f97c1abe0, 0x003162], - ), - F::from_limbs( - [0x9c6ffecb2dacc1f1d431c78293c8b9, 0x543fac296aec7a34c5516a0a165973, 0x00428b], - ), - F::from_limbs( - [0xb75ebf1fa6a848f2dcd7de352e7812, 0xfa066178e33c85eb74ae061ea0c95e, 0x005b88], - ), - F::from_limbs( - [0x064543e057b3b60d232820cad187ef, 0xad4cc8249a0bad4e635a0383373bf5, 0x001864], - ), - F::from_limbs( - [0x7841ddfd61aa748afd27280b1d26d5, 0xb5dc03165af6d7e53ad367a6de9eee, 0x004736], - ), - F::from_limbs( - [0x456225029cb18a7502d8d6f4e2d92c, 0xf177268722515b549d34a1faf96665, 0x002cb6], - ), - F::from_limbs( - [0xa3fca4c95e97ef62e4bc4334d24aa2, 0x970f33b7a49db81d211727eccfa32c, 0x00148a], - ), - F::from_limbs( - [0x19a75e369fc40f9d1b43bbcb2db55f, 0x1043f5e5d8aa7b1cb6f0e1b5086227, 0x005f63], - ), - F::from_limbs( - [0x1af71607b2c66dfea4a56081023372, 0xb346b11ea91175e3dbeb28007ad97d, 0x0036e2], - ), - F::from_limbs( - [0xa2acecf84b9591015b5a9e7efdcc8f, 0xf40c787ed436bd55fc1ce1a15d2bd6, 0x003d0a], - ), - F::from_limbs( - [0xd98e5d422c5d1b27ff824c52dca1d0, 0x28e8851cb172fab2b64503252a7def, 0x004e8f], - ), - F::from_limbs( - [0xe415a5bdd1fee3d8007db2ad235e31, 0x7e6aa480cbd5388721c3067cad8763, 0x00255e], - ), - F::from_limbs( - [0x47a42d475447363d44f03d6a565b97, 0xbe856f6bbf1c5d54f3a81142092b09, 0x005168], - ), - F::from_limbs( - [0x75ffd5b8aa14c8c2bb0fc195a9a46a, 0xe8cdba31be2bd5e4e45ff85fceda4a, 0x002284], - ), - F::from_limbs( - [0x31d674997b53dae2b092cec051cab3, 0x4c464e1891f0c3c830738958768167, 0x001f64], - ), - F::from_limbs( - [0x8bcd8e668308241d4f6d303fae354e, 0x5b0cdb84eb576f71a79480496183ec, 0x005489], - ), - F::from_limbs( - [0xa86a543b84b81418e39ed00f0fb9e9, 0x2c67e97367ce5c3e6671824479d465, 0x003d75], - ), - F::from_limbs( - [0x1539aec479a3eae71c612ef0f04618, 0x7aeb402a1579d6fb7196875d5e30ee, 0x003678], - ), - F::from_limbs( - [0x8378bf20f973c70da3b463586d4b7b, 0xcdaeaa9b7abf7cc0ce06072e27a588, 0x003aa6], - ), - F::from_limbs( - [0x3a2b43df04e837f25c4b9ba792b486, 0xd9a47f020288b6790a020273b05fcb, 0x003946], - ), - F::from_limbs( - [0x010585e07a712c0b6729335818e69a, 0x2bac15e611d6564ae36561f30c5d45, 0x00369d], - ), - F::from_limbs( - [0xbc9e7d1f83ead2f498d6cba7e71967, 0x7ba713b76b71dceef4a2a7aecba80e, 0x003d50], - ), - F::from_limbs( - [0xa526579d681c965a90ff08490bfddc, 0x09f9fa970046d8d2e1418a37800c8a, 0x0027ad], - ), - F::from_limbs( - [0x187dab62963f68a56f00f6b6f40225, 0x9d592f067d015a66f6c67f6a57f8c9, 0x004c40], - ), - F::from_limbs( - [0x203f88cbdc4471948cb801db257f24, 0xa39c71e06fdf474e1e622995bbb22e, 0x000088], - ), - F::from_limbs( - [0x9d647a3422178d6b7347fd24da80dd, 0x03b6b7bd0d68ebebb9a5e00c1c5325, 0x007365], - ), - F::from_limbs( - [0xd9640467b89b62bb3664bc5da730c0, 0xf25d387914b42e95a8ce3dab9495f8, 0x00070c], - ), - F::from_limbs( - [0xe43ffe9845c09c44c99b42a258cf41, 0xb4f5f124689404a42f39cbf6436f5a, 0x006ce0], - ), - F::from_limbs( - [0xcb1c4c78afeecd4318a4cc529de646, 0x8ab180b6121766d0fbf770c619f590, 0x006722], - ), - F::from_limbs( - [0xf287b6874e6d31bce75b32ad6219bb, 0x1ca1a8e76b30cc68dc1098dbbe0fc2, 0x000ccb], - ), - F::from_limbs( - [0xf232337ef6eba4549c3333d5cdae87, 0x1b7d643dcbb06052961d233134d2bd, 0x001131], - ), - F::from_limbs( - [0xcb71cf8107705aab63cccb2a32517a, 0x8bd5c55fb197d2e741eae670a33295, 0x0062bc], - ), - F::from_limbs( - [0xd2a6543bf0a923b8baa3c5f39511a9, 0xfaafbd50344cd931eb4e7d8227c6d9, 0x0033f1], - ), - F::from_limbs( - [0xeafdaec40db2db47455c390c6aee58, 0xaca36c4d48fb5a07ecb98c1fb03e79, 0x003ffb], - ), - F::from_limbs( - [0x1777ae6de43c3bcc3cf45503a26bf9, 0x4930044f66d8675907d64a5c2feb97, 0x005605], - ), - F::from_limbs( - [0xa62c54921a1fc333c30ba9fc5d9408, 0x5e23254e166fcbe0d031bf45a819bc, 0x001de8], - ), - F::from_limbs( - [0x7664eaa2d713a5c7b1b0deaf488dc0, 0xdecc5a66647f9784a0b1a526c1fc01, 0x00040b], - ), - F::from_limbs( - [0x473f185d274859384e4f2050b77241, 0xc886cf3718c89bb53756647b160952, 0x006fe1], - ), - F::from_limbs( - [0xadbc1a2c46fc2c8d7616ca9a1232dd, 0x417472eed79049a3167cfffc90e27f, 0x0057d6], - ), - F::from_limbs( - [0x0fe7e8d3b75fd27289e93465edcd24, 0x65deb6aea5b7e996c18b09a54722d4, 0x001c17], - ), - F::from_limbs( - [0xfa62bbbbd6b631a42d6916ba23404c, 0x404b2b3e80406629c6836b11a80e95, 0x001e1a], - ), - F::from_limbs( - [0xc341474427a5cd5bd296e845dcbfb5, 0x6707fe5efd07cd1011849e902ff6bd, 0x0055d3], - ), - F::from_limbs( - [0xd481d0bb6911548cb29e5f68cdc81a, 0xaaa3d798d21e94dadff55c6cbfdb7f, 0x00630e], - ), - F::from_limbs( - [0xe9223244954aaa734d619f973237e7, 0xfcaf5204ab299e5ef812ad351829d3, 0x0010de], - ), - F::from_limbs( - [0x030f7af2e756bfa10792d623ec078b, 0xaf53a7f8913c194caac36ab9b39ee1, 0x001fef], - ), - F::from_limbs( - [0xba94880d17053f5ef86d28dc13f876, 0xf7ff81a4ec0c19ed2d449ee8246672, 0x0053fd], - ), - F::from_limbs( - [0xca4d3655b7f65a7a73df2ecd0e2030, 0x7518b9fd3554c0f19a67641063833c, 0x004b1d], - ), - F::from_limbs( - [0xf356ccaa4665a4858c20d032f1dfd1, 0x323a6fa047f372483da0a591748216, 0x0028d0], - ), - F::from_limbs( - [0xd3049773ed303c881867a03315f5d3, 0x2b4acc7c704c4f38a455be37d321ba, 0x0048b5], - ), - F::from_limbs( - [0xea9f6b8c112bc277e7985eccea0a2e, 0x7c085d210cfbe40133b24b6a04e398, 0x002b38], - ), - F::from_limbs( - [0xc2d66725116e6c0e39c5c0deac938d, 0x7b09d8722543e50d1ed404838c3942, 0x003c85], - ), - F::from_limbs( - [0xfacd9bdaeced92f1c63a3e21536c74, 0x2c49512b58044e2cb934051e4bcc10, 0x003768], - ), - F::from_limbs( - [0xc4f44254bfe3f098c01ebb90ee775e, 0x6d9caec03381a9ee3c0868e70f5777, 0x0043bc], - ), - F::from_limbs( - [0xf8afc0ab3e780e673fe1436f1188a3, 0x39b67add49c6894b9bffa0bac8addb, 0x003031], - ), - F::from_limbs( - [0xfddd235c7a98ac608be7900aae3100, 0xa244819154424d60ebf9f5ac99f13f, 0x005cb7], - ), - F::from_limbs( - [0xbfc6dfa383c3529f74186ef551cf01, 0x050ea80c2905e5d8ec0e13f53e1413, 0x001736], - ), - F::from_limbs( - [0x4a0fd486334f79d808d5c0d3ae1f12, 0x9daab2457724a2a6708e58d280c315, 0x005ac9], - ), - F::from_limbs( - [0x73942e79cb0c8527f72a3e2c51e0ef, 0x09a87758062390936779b0cf57423e, 0x001924], - ), - F::from_limbs( - [0xea8c83047a0348092bc156145ae3be, 0x6498d3d08cd0b43f4591e262934f10, 0x001299], - ), - F::from_limbs( - [0xd3177ffb8458b6f6d43ea8eba51c43, 0x42ba55ccf0777efa9276273f44b642, 0x006154], - ), - F::from_limbs( - [0xc9e71e9ad981f3f9bee777f505a670, 0xa66cf5599656047e8cec0c7be22c07, 0x0015ed], - ), - F::from_limbs( - [0xf3bce46524da0b064118870afa5991, 0x00e63443e6f22ebb4b1bfd25f5d94b, 0x005e00], - ), - F::from_limbs( - [0xaa95c116471933d23a4a114812d636, 0x1521f33b59d5e1255a25981421ff14, 0x0052c0], - ), - F::from_limbs( - [0x130e41e9b742cb2dc5b5edb7ed29cb, 0x92313662237252147de2718db6063f, 0x00212d], - ), - F::from_limbs( - [0xd54a83f5ca1be3e25cfe9c39fa442b, 0xf39fdb8f4cc1ff72289a55de1ef66f, 0x003042], - ), - F::from_limbs( - [0xe8597f0a34401b1da30162c605bbd6, 0xb3b34e0e308633c7af6db3c3b90ee3, 0x0043aa], - ), - F::from_limbs( - [0x6df133f7321a25f20ce8d579e35cee, 0xa3f774f19f1ff7a8b04d2828931d48, 0x0018c6], - ), - F::from_limbs( - [0x4fb2cf08cc41d90df31729861ca313, 0x035bb4abde283b9127bae17944e80b, 0x005b27], - ), - F::from_limbs( - [0x0f9d3b81d8d23eded4a5f256a9c7fa, 0xe84cc460e97596051ddbd646a327cd, 0x00211d], - ), - F::from_limbs( - [0xae06c77e2589c0212b5a0ca9563807, 0xbf06653c93d29d34ba2c335b34dd86, 0x0052cf], - ), - F::from_limbs( - [0x6d32c4bc785ddf8f84dcc764345e6f, 0x440f93c3062bad415ce2d67286aaff, 0x005d3d], - ), - F::from_limbs( - [0x50713e4385fe1f707b23379bcba192, 0x634395da771c85f87b25332f515a54, 0x0016b0], - ), - F::from_limbs( - [0x65f7f950b8ea85342030e7ba39b3a6, 0x509b496b983f565de17858f422f2df, 0x002b01], - ), - F::from_limbs( - [0x57ac09af457179cbdfcf1745c64c5b, 0x56b7e031e508dcdbf68fb0adb51274, 0x0048ec], - ), - F::from_limbs( - [0x0cf136ceac4b7be81282d9762849c5, 0x475dcfa943c0ac10e91b6361e98f4d, 0x004e05], - ), - F::from_limbs( - [0xb0b2cc3152108317ed7d2589d7b63c, 0x5ff559f439878728eeeca63fee7606, 0x0025e8], - ), - F::from_limbs( - [0xf5a38f02d0d9e3f6e035ff20282882, 0x92eb3eb00addf10be3c3f4a15ce3d9, 0x004f48], - ), - F::from_limbs( - [0xc80073fd2d821b091fc9ffdfd7d77f, 0x1467eaed726a422df44415007b2179, 0x0024a5], - ), - F::from_limbs( - [0x15abe4dc2aec8fda060609b2b47d85, 0x138145182f544c8a68d80bcba67af2, 0x0069de], - ), - F::from_limbs( - [0xa7f81e23d36f6f25f9f9f54d4b827c, 0x93d1e4854df3e6af6f2ffdd6318a61, 0x000a0f], - ), - F::from_limbs( - [0x1876aef7cc205e21ae42d827deca30, 0x6f29f2073a63626669c7c06691d161, 0x0010c7], - ), - F::from_limbs( - [0xa52d5408323ba0de51bd26d82135d1, 0x3829379642e4d0d36e40493b4633f2, 0x006326], - ), - F::from_limbs( - [0xd8e98cba8c851f53dbcceebb1aec4c, 0x7da509b2c067c30ab0c323dcd93343, 0x005edb], - ), - F::from_limbs( - [0xe4ba764571d6dfac24331044e513b5, 0x29ae1feabce0702f2744e5c4fed20f, 0x001512], - ), - F::from_limbs( - [0x34466bd37b654e75fbe2738ef6ec21, 0xf7bdf6d2576613871ea55580a605e5, 0x002f9e], - ), - F::from_limbs( - [0x895d972c82f6b08a041d8b710913e0, 0xaf9532cb25e21fb2b962b42131ff6e, 0x00444e], - ), - F::from_limbs( - [0xe3d5c95963601cef87c9f995096338, 0x788108ad69a5b53f9e776978ee912d, 0x0022c0], - ), - F::from_limbs( - [0xd9ce39a69afbe2107836056af69cc9, 0x2ed220f013a27dfa3990a028e97425, 0x00512d], - ), - F::from_limbs( - [0xa52764195066cb368bf892d23cfbea, 0x4ffc4e3af3f346bc2d29fe6ef3b600, 0x0000a1], - ), - F::from_limbs( - [0x187c9ee6adf533c974076c2dc30417, 0x5756db628954ec7daade0b32e44f53, 0x00734c], - ), - F::from_limbs( - [0xe7644948035d564c122ce446b3b25c, 0xf7e46fad681a2e91cb91310e85e484, 0x003e4b], - ), - F::from_limbs( - [0xd63fb9b7fafea8b3edd31ab94c4da5, 0xaf6eb9f0152e04a80c76d8935220ce, 0x0035a1], - ), - F::from_limbs( - [0xf2d9bfd5140d699cc42e43382e70a4, 0x083148cb1058349ee0fb910de629c0, 0x001bdd], - ), - F::from_limbs( - [0xcaca432aea4e95633bd1bbc7d18f5d, 0x9f21e0d26ceffe9af70c7893f1db92, 0x005810], - ), - F::from_limbs( - [0xff8a227dfd1dec38fa67bcd4f84471, 0xbd7da7f332978a73656310ab4c6c08, 0x0066e4], - ), - F::from_limbs( - [0xbe19e082013e12c70598422b07bb90, 0xe9d581aa4ab0a8c672a4f8f68b994a, 0x000d08], - ), - F::from_limbs( - [0xdac5574c6b36285f26172cbdae7696, 0x467880c3870fe5f29a8023d2eb1261, 0x001a74], - ), - F::from_limbs( - [0xe2deabb39325d6a0d9e8d24251896b, 0x60daa8d9f6384d473d87e5ceecf2f1, 0x005979], - ), - F::from_limbs( - [0x092a39c6a48f459c533e348b6eff5f, 0x1db7d0376a78528b2ecd3ea8ae6c56, 0x0011e5], - ), - F::from_limbs( - [0xb479c93959ccb963acc1ca749100a2, 0x899b596612cfe0aea93acaf92998fd, 0x006208], - ), - F::from_limbs( - [0x209c683b1f1277f13eb4a91bb6a4f8, 0xdb28617d36ba715ec5ec903e27b135, 0x0051e8], - ), - F::from_limbs( - [0x9d079ac4df49870ec14b55e4495b09, 0xcc2ac820468dc1db121b7963b0541e, 0x002204], - ), - F::from_limbs( - [0x39d9bec3468ebe119a0380eb0bbdd4, 0xf5fcf2b2518e4d3d9ef4fd3ca74c1a, 0x00493d], - ), - F::from_limbs( - [0x83ca443cb7cd40ee65fc7e14f4422d, 0xb15636eb2bb9e5fc39130c6530b939, 0x002aaf], - ), - F::from_limbs( - [0xc036c97cdeccdb1309e8f8e477af4b, 0x633fec31a36e9a52920637cefbb3a0, 0x0053b9], - ), - F::from_limbs( - [0xfd6d39831f8f23ecf617061b8850b6, 0x44133d6bd9d998e74601d1d2dc51b2, 0x002034], - ), - F::from_limbs( - [0xb83acfc8e1fc9f12f727121ee0964a, 0x4d4c275307f975b7d7ce0cb29b36bc, 0x0017fa], - ), - F::from_limbs( - [0x056933371c5f5fed08d8ece11f69b7, 0x5a07024a754ebd820039fcef3cce97, 0x005bf3], - ), - F::from_limbs( - [0x59be7af6c293cfd283f3b304941cef, 0x20f7ffe182d1e66aa095c3e85fc919, 0x0072b6], - ), - F::from_limbs( - [0x63e588093bc82f2d7c0c4bfb6be312, 0x865b29bbfa764ccf377245b9783c3a, 0x000137], - ), - F::from_limbs( - [0x03249c8429f87e6844532496014769, 0xf040e1fdfca4b40f89ddd68b08bfde, 0x000116], - ), - F::from_limbs( - [0xba7f667bd4638097bbacda69feb898, 0xb712479f80a37f2a4e2a3316cf4575, 0x0072d6], - ), - F::from_limbs( - [0x9356da41aa6f8f02e7836bb3ab600d, 0x64c674e3478a1a81fdfbfaf9e23819, 0x00690f], - ), - F::from_limbs( - [0x2a4d28be53ec6ffd187c934c549ff4, 0x428cb4ba35be18b7da0c0ea7f5cd3a, 0x000ade], - ), - F::from_limbs( - [0xcf83fe0ae1e6a534ea9661ff26117d, 0xfe13068acf76d38555ddf2b6be9f66, 0x005e47], - ), - F::from_limbs( - [0xee2004f51c7559cb15699d00d9ee84, 0xa9402312add15fb4822a16eb1965ec, 0x0015a5], - ), - F::from_limbs( - [0xad1740d605853de7454aa702a3c258, 0x76c88e274f02c447c149769ccad950, 0x0000a0], - ), - F::from_limbs( - [0x108cc229f8d6c118bab557fd5c3da9, 0x308a9b762e456ef216be93050d2c03, 0x00734d], - ), - F::from_limbs( - [0xaec3d9a57ccd3297472f2054fecfd5, 0xb9661959f10d1a81eafd4497a5304a, 0x0054dd], - ), - F::from_limbs( - [0x0ee0295a818ecc68b8d0deab01302c, 0xeded10438c3b18b7ed0ac50a32d509, 0x001f0f], - ), - F::from_limbs( - [0xd7652e15e99c4fa549c326bd5ec839, 0x7e6d3b984ce333a79fcc2c033c1a9e, 0x0029e0], - ), - F::from_limbs( - [0xe63ed4ea14bfaf5ab63cd842a137c8, 0x28e5ee053064ff92383bdd9e9beab4, 0x004a0d], - ), - F::from_limbs( - [0x4c88ff93efa64a2f0a407c5295fb98, 0xfac010dea4409740b7a0a0fd537819, 0x005882], - ), - F::from_limbs( - [0x711b036c0eb5b4d0f5bf82ad6a0469, 0xac9318bed9079bf9206768a4848d3a, 0x001b6a], - ), - F::from_limbs( - [0x5e84d56af0f9ca4f7f8d52f0dc3992, 0x3119b933616cdbe1801187d7696ce6, 0x001772], - ), - F::from_limbs( - [0x5f1f2d950d6234b08072ac0f23c66f, 0x7639706a1bdb575857f681ca6e986d, 0x005c7b], - ), - F::from_limbs( - [0x1f60d0941e92cd6a0c566da29d6b4e, 0x36ed69e2548982af2ca67090f30a51, 0x0007ca], - ), - F::from_limbs( - [0x9e43326bdfc93195f3a9915d6294b3, 0x7065bfbb28beb08aab619910e4fb02, 0x006c23], - ), - F::from_limbs( - [0xe983b035dd777461db389f0c72ef67, 0xaaa63a9561e15c725eab59b885b4dc, 0x000a23], - ), - F::from_limbs( - [0xd42052ca20e48a9e24c75ff38d109a, 0xfcacef081b66d6c7795cafe9525076, 0x0069c9], - ), - F::from_limbs( - [0x1026bb7cc4a92cb1a5916f0c03c77e, 0x52872cea0502fba135f7b61b767f8b, 0x00673d], - ), - F::from_limbs( - [0xad7d478339b2d24e5a6e8ff3fc3883, 0x54cbfcb378453798a21053866185c8, 0x000cb0], - ), - F::from_limbs( - [0xcc96ca4f8ddbb2b42b0658a8edfb6b, 0x43de3052b6648a3783538c1c28ad2f, 0x005c9c], - ), - F::from_limbs( - [0xf10d38b070804c4bd4f9a657120496, 0x6374f94ac6e3a90254b47d85af5823, 0x001751], - ), - F::from_limbs( - [0xf152a3c0f1c231ff49725a1870375c, 0xf7d3c4edc935ffc2941254837a46d2, 0x006b82], - ), - F::from_limbs( - [0xcc515f3f0c99cd00b68da4e78fc8a5, 0xaf7f64afb412337743f5b51e5dbe80, 0x00086a], - ), - F::from_limbs( - [0x9f913cac2cc77977ee6e82bfd3a1f9, 0xad1a0314eff2961eaed1c485488a76, 0x00706e], - ), - F::from_limbs( - [0x1e12c653d194858811917c402c5e08, 0xfa3926888d559d1b2936451c8f7add, 0x00037e], - ), - F::from_limbs( - [0x2ae97a5238177d86f50a21463dd536, 0x89498b4a364c53f06d7099b29ccb04, 0x004723], - ), - F::from_limbs( - [0x92ba88adc64481790af5ddb9c22acb, 0x1e099e5346fbdf496a976fef3b3a4f, 0x002cca], - ), - F::from_limbs( - [0xb3b215b2a1cb8a7d5e2afb958221be, 0xa16e424912fc4b00c302811881c325, 0x0021e9], - ), - F::from_limbs( - [0x09f1ed4d5c907482a1d5036a7dde43, 0x05e4e7546a4be8391505888956422e, 0x005204], - ), - F::from_limbs( - [0x4e85ecd63f5c377a6298c0d8230e4f, 0x740ddd00e10d2b0611c4592c433219, 0x0062fa], - ), - F::from_limbs( - [0x6f1e1629beffc7859d673e27dcf1b2, 0x33454c9c9c3b0833c643b07594d33a, 0x0010f3], - ), - F::from_limbs( - [0xe9678b025e60f28b161ada6afe9538, 0xf7a59a09cbe80551530ffb9aa031dd, 0x0027b8], - ), - F::from_limbs( - [0xd43c77fd9ffb0c74e9e52495016ac9, 0xafad8f93b1602de884f80e0737d375, 0x004c34], - ), - F::from_limbs( - [0x7ff15c409eef5bc3a92ef2ca3fd8cc, 0xfb4c9980bb944a5586179e02d5dc88, 0x004869], - ), - F::from_limbs( - [0x3db2a6bf5f6ca33c56d10c35c02735, 0xac06901cc1b3e8e451f06b9f0228cb, 0x002b83], - ), - F::from_limbs( - [0x85709d15b42a3e0c14b9b4139f47cc, 0xb392702c989dd317c3b03bc4cc00cc, 0x006104], - ), - F::from_limbs( - [0x383365ea4a31c0f3eb464aec60b835, 0xf3c0b970e4aa60221457cddd0c0487, 0x0012e8], - ), - F::from_limbs( - [0xd0d4498d8b5ced307b71c0af325c62, 0x9d954e4bc32d2071129882629c2840, 0x00278e], - ), - F::from_limbs( - [0xeccfb97272ff11cf848e3e50cda39f, 0x09bddb51ba1b12c8c56f873f3bdd12, 0x004c5f], - ), - F::from_limbs( - [0x525b7e8ba1b24d98d86a7929758ccd, 0x15da7d5d01b023f671701bbd40ca3b, 0x006b5e], - ), - F::from_limbs( - [0x6b4884745ca9b167279585d68a7334, 0x9178ac407b980f436697ede4973b18, 0x00088f], - ), - F::from_limbs( - [0x908e545d34e2793c0867a94b248b6c, 0x7d213aed98fd4b3905264a3e4317e5, 0x006bcc], - ), - F::from_limbs( - [0x2d15aea2c97985c3f79855b4db7495, 0x2a31eeafe44ae800d2e1bf6394ed6e, 0x000821], - ), - F::from_limbs( - [0xc94cff0b73a8b9be2ad0a5f63874ba, 0xed38e13513aa7562ef27c3910418f9, 0x0056f9], - ), - F::from_limbs( - [0xf45703f48ab34541d52f5909c78b47, 0xba1a4868699dbdd6e8e04610d3ec59, 0x001cf3], - ), - F::from_limbs( - [0x36fe219d2f1ca32551d25163a57d86, 0xa592c8e79d78eb4ed97a2ea201b711, 0x002f18], - ), - F::from_limbs( - [0x86a5e162cf3f5bdaae2dad9c5a827b, 0x01c060b5dfcf47eafe8ddaffd64e42, 0x0044d5], - ), - F::from_limbs( - [0xa4784e5cefc9be2e1b980e4cafe433, 0x577770c381e5cbe1a229495b4b99c7, 0x0042db], - ), - F::from_limbs( - [0x192bb4a30e9240d1e467f0b3501bce, 0x4fdbb8d9fb62675835dec0468c6b8c, 0x003112], - ), - F::from_limbs( - [0xb3c2c92942824865084a31ecb924fa, 0x2a1ecf656d32a30763627a6886702e, 0x001c62], - ), - F::from_limbs( - [0x09e139d6bbd9b69af7b5cd1346db07, 0x7d345a381015903274a58f39519525, 0x00578b], - ), - F::from_limbs( - [0x3d902f03551049f127d7c393e202c0, 0xf9cfd3370d6c944417a9fc1f8cfeb5, 0x00056b], - ), - F::from_limbs( - [0x8013d3fca94bb50ed8283b6c1dfd41, 0xad8356666fdb9ef5c05e0d824b069e, 0x006e81], - ), - F::from_limbs( - [0x4ba5d295058ca307a2b4097373ef5a, 0x85b55ab26d8ac390432f293555e2ba, 0x001d20], - ), - F::from_limbs( - [0x71fe306af8cf5bf85d4bf58c8c10a7, 0x219dceeb0fbd6fa994d8e06c822299, 0x0056cd], - ), - F::from_limbs( - [0xc2c4351645ca60d00d8e28e597ebb9, 0x937f818d465e2b8a21cbde1084c7d2, 0x0019b8], - ), - F::from_limbs( - [0xfadfcde9b8919e2ff271d61a681448, 0x13d3a81036ea07afb63c2b91533d80, 0x005a35], - ), - F::from_limbs( - [0x449d265c117b30c24ac967f93d8b01, 0xb6bfa3edb16c0360158fd6702a37e9, 0x00141f], - ), - F::from_limbs( - [0x7906dca3ece0ce3db5369706c27500, 0xf09385afcbdc2fd9c2783331adcd6a, 0x005fcd], - ), - F::from_limbs( - [0x3651759b44053677b99f0eca393e84, 0xa01b180d7fc3a4c3b9f74a56ca0543, 0x00077b], - ), - F::from_limbs( - [0x87528d64ba56c8884660f035c6c17d, 0x0738118ffd848e761e10bf4b0e0010, 0x006c72], - ), - F::from_limbs( - [0x5c324df87197f007401cd383ea6433, 0x19ddb92d997b13b0e0ff9f159f428e, 0x006b23], - ), - F::from_limbs( - [0x6171b5078cc40ef8bfe32b7c159bce, 0x8d75706fe3cd1f88f7086a8c38c2c5, 0x0008ca], - ), - F::from_limbs( - [0xa3ed8c7d553c366294367b3eef0647, 0x6b11dbd832ff1fb4c9583417520f25, 0x0008b2], - ), - F::from_limbs( - [0x19b67682a91fc89d6bc983c110f9ba, 0x3c414dc54a4913850eafd58a85f62e, 0x006b3b], - ), - F::from_limbs( - [0x9f779c216532e9654dff9acfc27353, 0xbb20340e48cb13a9b86723f41d63bd, 0x002365], - ), - F::from_limbs( - [0x1e2c66de9929159ab20064303d8cae, 0xec32f58f347d1f901fa0e5adbaa196, 0x005087], - ), - F::from_limbs( - [0x4badbde5b349d3512f0d5b5d19ba24, 0x6365555433d7803a1a95d55fc37552, 0x004e56], - ), - F::from_limbs( - [0x71f6451a4b122baed0f2a3a2e645dd, 0x43edd4494970b2ffbd723442149001, 0x002597], - ), - F::from_limbs( - [0x0acf4a881882c49d95b848783baff6, 0x6ef4daa39a3398ecd2bc6003abf49e, 0x004b0e], - ), - F::from_limbs( - [0xb2d4b877e5d93a626a47b687c4500b, 0x385e4ef9e3149a4d054ba99e2c10b5, 0x0028df], - ), - F::from_limbs( - [0xff7db1e208ca5762d37d2f50142c1d, 0x1798ccc9781075e48186a0f936f2f9, 0x00655b], - ), - F::from_limbs( - [0xbe26511df591a79d2c82cfafebd3e4, 0x8fba5cd40537bd55568168a8a11259, 0x000e92], - ), - F::from_limbs( - [0xe4385aa59379304eb87f06f3052074, 0xb8a802a174ea379ba1457efc2e2881, 0x0011f9], - ), - F::from_limbs( - [0xd96ba85a6ae2ceb14780f80cfadf8d, 0xeeab26fc085dfb9e36c28aa5a9dcd1, 0x0061f3], - ), - F::from_limbs( - [0xec510028ee108633efbda071957818, 0x8ee91d8b9f540e171f160493e14fee, 0x0003a1], - ), - F::from_limbs( - [0xd15302d7104b78cc10425e8e6a87e9, 0x186a0c11ddf42522b8f2050df6b564, 0x00704c], - ), - F::from_limbs( - [0xa7bbb5ec527557ba4fa14e54bbedf6, 0x417cb0e82b9ffd191ef6acc3e59f9d, 0x000c5e], - ), - F::from_limbs( - [0x15e84d13abe6a745b05eb0ab44120b, 0x65d678b551a83620b9115cddf265b6, 0x00678f], - ), - F::from_limbs( - [0xc024153f96227a1683c9b2579ec673, 0x898d8eda40f85e2f7f8a626b1f2011, 0x0035fc], - ), - F::from_limbs( - [0xfd7fedc0683984e97c364ca861398e, 0x1dc59ac33c4fd50a587da736b8e541, 0x003df1], - ), - F::from_limbs( - [0xe952a25430c3b9c15e92b69fb876f2, 0x4d58a5b97c0d1ffa0fefe7651f7418, 0x004a57], - ), - F::from_limbs( - [0xd45160abcd98453ea16d486047890f, 0x59fa83e4013b133fc818223cb8913a, 0x002996], - ), - F::from_limbs( - [0xc16e47ee9344e623a5a02af7352846, 0x1570af1eaed89534129c442b9b50b0, 0x0039b2], - ), - F::from_limbs( - [0xfc35bb116b1718dc5a5fd408cad7bb, 0x91e27a7ece6f9e05c56bc5763cb4a2, 0x003a3b], - ), - F::from_limbs( - [0xc9ff6bc17ee0c0300dcd481613376a, 0xf4786d303126047688651a184c8190, 0x003750], - ), - F::from_limbs( - [0xf3a4973e7f7b3ecff232b6e9ecc897, 0xb2dabc6d4c222ec34fa2ef898b83c2, 0x003c9c], - ), - F::from_limbs( - [0xe47938602798ee2feabcab1eb5c580, 0x8bd6fa1e279cd00145595a25cf22fa, 0x000af4], - ), - F::from_limbs( - [0xd92aca9fd6c310d0154353e14a3a81, 0x1b7c2f7f55ab633892aeaf7c08e258, 0x0068f9], - ), - F::from_limbs( - [0x82450dbe073be8162efe65f1c2b990, 0xe506ed3420bd548b26494c5a621e78, 0x002335], - ), - F::from_limbs( - [0x3b5ef541f72016e9d101990e3d4671, 0xc24c3c695c8adeaeb1bebd4775e6db, 0x0050b7], - ), - F::from_limbs( - [0x1a903d8f52d2a90dff66838d9c7fbd, 0x8a08974d8c1bf1ec877e19a187e39b, 0x004c87], - ), - F::from_limbs( - [0xa313c570ab8955f200997b72638044, 0x1d4a924ff12c414d5089f0005021b8, 0x002766], - ), - F::from_limbs( - [0x96c3746709260726d987fa9e3bbed3, 0xa27be85055e8b203921cd6971c63e4, 0x004e25], - ), - F::from_limbs( - [0x26e08e98f535f7d926780461c4412e, 0x04d7414d275f813645eb330abba16f, 0x0025c8], - ), - F::from_limbs( - [0xbdee817f227e486819b9b9795c3e0f, 0x00154a61744cbb7789c88db15913ad, 0x000d03], - ), - F::from_limbs( - [0xffb58180dbddb697e6464586a3c1f2, 0xa73ddf3c08fb77c24e3f7bf07ef1a5, 0x0066ea], - ), - F::from_limbs( - [0x07a6e79adda5afa3109ba77f2518c7, 0x867bd40a744e3d649126de0af18e82, 0x0063ea], - ), - F::from_limbs( - [0xb5fd1b6520b64f5cef645780dae73a, 0x20d7559308f9f5d546e12b96e676d1, 0x001003], - ), - F::from_limbs( - [0x5b78d7ad57b0f38547116436757283, 0xfdd66062acb5a269327c0efa5e5c8c, 0x004514], - ), - F::from_limbs( - [0x622b2b52a6ab0b7ab8ee9ac98a8d7e, 0xa97cc93ad09290d0a58bfaa779a8c7, 0x002ed8], - ), - F::from_limbs( - [0xa56f61a006515a17be1566d99a7483, 0x4f501ad75aad02dac68288140c42da, 0x0043c5], - ), - F::from_limbs( - [0x1834a15ff80aa4e841ea9826658b7e, 0x58030ec6229b305f1185818dcbc279, 0x003028], - ), - F::from_limbs( - [0x065584e021791f1391419338a0badc, 0xe82a30c630237655b39804b4c4a0e3, 0x003951], - ), - F::from_limbs( - [0xb74e7e1fdce2dfec6ebe6bc75f4525, 0xbf28f8d74d24bce4247004ed136470, 0x003a9b], - ), - F::from_limbs( - [0xf92ae474cef12d5145aca500592c77, 0x9d1eaf1c0b155b90729187a8961bf7, 0x000c7c], - ), - F::from_limbs( - [0xc4791e8b2f6ad1aeba5359ffa6d38a, 0x0a347a817232d7a9657681f941e95b, 0x006771], - ), - F::from_limbs( - [0x97eb526090f342f807dc397d6d14ee, 0x13ef0677dcd750c7a1520e76702560, 0x00627c], - ), - F::from_limbs( - [0x25b8b09f6d68bc07f823c58292eb13, 0x93642325a070e27236b5fb2b67dff3, 0x001171], - ), - F::from_limbs( - [0x94ea7f998e3036d6bed2498a5d8638, 0x448b1d5cbea6dfc72166834e512278, 0x003922], - ), - F::from_limbs( - [0x28b98366702bc829412db575a279c9, 0x62c80c40bea15372b6a1865386e2db, 0x003acb], - ), - F::from_limbs( - [0xff614331a1c5ee416c0cec37d6d1e3, 0x358697a1948bdde939ccba7d1a0b56, 0x006912], - ), - F::from_limbs( - [0xbe42bfce5c9610be93f312c8292e1e, 0x71cc91fbe8bc55509e3b4f24bdf9fc, 0x000adb], - ), - F::from_limbs( - [0xf453443751352cd5ec27c20801dd0c, 0xe39b16faf7c46cc7ac221e46db195c, 0x005428], - ), - F::from_limbs( - [0xc950bec8ad26d22a13d83cf7fe22f5, 0xc3b812a28583c6722be5eb5afcebf6, 0x001fc4], - ), - F::from_limbs( - [0x55db26760dbddac00db50a8b455478, 0xd94bd5ed9311a8d9ff5e4d8aea5817, 0x001b03], - ), - F::from_limbs( - [0x67c8dc89f09e243ff24af474baab89, 0xce0753afea368a5fd8a9bc16edad3c, 0x0058e9], - ), - F::from_limbs( - [0x49b65c7d1fed03f5b384a538296000, 0x7c3942fa7cfd9aed68d099c5eb4e62, 0x006288], - ), - F::from_limbs( - [0x73eda682de6efb0a4c7b59c7d6a001, 0x2b19e6a3004a984c6f376fdbecb6f1, 0x001165], - ), - F::from_limbs( - [0x3a5b42deb5e4c1b66d42eea88ef658, 0xd75572234819e092ac4898119b265f, 0x0020b2], - ), - F::from_limbs( - [0x8348c02148773d4992bd10577109a9, 0xcffdb77a352e52a72bbf71903cdef4, 0x00533a], - ), - F::from_limbs( - [0x9789fe6f5e6d87ec21011e1910e3f6, 0xddfe267b290a0c6b6dbfa5a338e877, 0x0062a3], - ), - F::from_limbs( - [0x261a04909fee7713defee0e6ef1c0b, 0xc9550322543e26ce6a4863fe9f1cdc, 0x001149], - ), - F::from_limbs( - [0x4759df07c81cf588e130df905786d7, 0xe1eeb4fc8bcd8ed5ffac85a790ec7a, 0x000af2], - ), - F::from_limbs( - [0x764a23f8363f09771ecf1f6fa8792a, 0xc56474a0f17aa463d85b83fa4718d9, 0x0068fa], - ), - F::from_limbs( - [0x5186929cb753ce8a84298fd3ddf34c, 0xba25714e3e69008fab821a3ee08d64, 0x006086], - ), - F::from_limbs( - [0x6c1d7063470830757bd66f2c220cb5, 0xed2db84f3edf32aa2c85ef62f777ef, 0x001366], - ), - F::from_limbs( - [0xe7a0348b8faec254f0afb89d963fea, 0x64ab3a29297f3027fbcec0f933fe6b, 0x003eee], - ), - F::from_limbs( - [0xd603ce746ead3cab0f50466269c017, 0x42a7ef7453c90311dc3948a8a406e7, 0x0034ff], - ), - F::from_limbs( - [0x3b845b65ff13ce04b81c740d89cb54, 0xd4ceaa3502758601997f45fa4a4b00, 0x0049b8], - ), - F::from_limbs( - [0x821fa799ff4830fb47e38af27634ad, 0xd2847f687ad2ad383e88c3a78dba53, 0x002a34], - ), - F::from_limbs( - [0xe365db905d5bbf2f11ec355270b1d7, 0x6c686f4d606c07c39a15c300ab83e5, 0x004b5f], - ), - F::from_limbs( - [0xda3e276fa1003fd0ee13c9ad8f4e2a, 0x3aeaba501cdc2b763df246a12c816d, 0x00288e], - ), - F::from_limbs( - [0xe2d540a29e52cd9cab5805fc609431, 0xba317c9334f608b7a43373d7cd3962, 0x006450], - ), - F::from_limbs( - [0xdacec25d6009316354a7f9039f6bd0, 0xed21ad0a48522a8233d495ca0acbf0, 0x000f9c], - ), - F::from_limbs( - [0x2b493a84dfb36896b6a5c9464cd413, 0x24db15ec7c17375f6988a630da2245, 0x006eb6], - ), - F::from_limbs( - [0x925ac87b1ea89669495a35b9b32bee, 0x827813b10130fbda6e7f6370fde30e, 0x000537], - ), - F::from_limbs( - [0x9b4d224b0528c83d046a082716bcad, 0x86515fbcd4407b19ef363b2e531257, 0x002064], - ), - F::from_limbs( - [0x2256e0b4f93336c2fb95f6d8e94354, 0x2101c9e0a907b81fe8d1ce7384f2fc, 0x005389], - ), - F::from_limbs( - [0xeb12eb2761d20c77841793f2e1f3bd, 0xf7216cd9a914d05c53c86f28bcf1f1, 0x00683d], - ), - F::from_limbs( - [0xd29117d89c89f2887be86b0d1e0c44, 0xb031bcc3d43362dd843f9a791b1361, 0x000baf], - ), - F::from_limbs( - [0x8beb6ddae7129a65bf313b1012d3c3, 0x6543cac258cb9e754890fcc1363893, 0x003e2d], - ), - F::from_limbs( - [0x31b895251749649a40cec3efed2c3e, 0x420f5edb247c94c48f770ce0a1ccc0, 0x0035c0], - ), - F::from_limbs( - [0xedd3f0704fcd8f277505ba720effe1, 0xa8a8ede82d0fb1e20890ceda6f1723, 0x0043a3], - ), - F::from_limbs( - [0xcfd0128fae8e6fd88afa448df10020, 0xfeaa3bb550388157cf773ac768ee2f, 0x003049], - ), - F::from_limbs( - [0xd1ce9ac4ad54c9e879678fda473b16, 0xae4c1953da0602d3749c19fa0c5093, 0x0056cb], - ), - F::from_limbs( - [0xebd5683b5107351786986f25b8c4eb, 0xf9071049a3423066636befa7cbb4bf, 0x001d21], - ), - F::from_limbs( - [0xa589adcd54196cf6b1a5c2e3dca6d2, 0xfd08c1065f9bee4333f2689c749b27, 0x000dba], - ), - F::from_limbs( - [0x181a5532aa4292094e5a3c1c23592f, 0xaa4a68971dac44f6a415a105636a2c, 0x006632], - ), - F::from_limbs( - [0x2f8dfa512822d59b3f666708cf6ab9, 0xd0072ac754cfe2a8f07114efb1bbae, 0x002c53], - ), - F::from_limbs( - [0x8e1608aed6392964c09997f7309548, 0xd74bfed628785090e796f4b22649a5, 0x004799], - ), - F::from_limbs( - [0xc31a16ae503a1dbb4d3aef9624f018, 0xe6e12b03a3ac400f72460d090590de, 0x004c37], - ), - F::from_limbs( - [0xfa89ec51ae21e144b2c50f69db0fe9, 0xc071fe99d99bf32a65c1fc98d27474, 0x0027b5], - ), - F::from_limbs( - [0x8cd6fdc62b7832b8bc7c0276b4eb5c, 0x0c57398282e4d2ba7b1aeab16b3187, 0x004445], - ), - F::from_limbs( - [0x30cd0539d2e3cc474383fc894b14a5, 0x9afbf01afa63607f5ced1ef06cd3cc, 0x002fa8], - ), - F::from_limbs( - [0x56f9dc800d97f131c91d435c7c321f, 0xe64eb0a6f68528607cdf9e439ef7d2, 0x00469d], - ), - F::from_limbs( - [0x66aa267ff0c40dce36e2bba383cde2, 0xc10478f686c30ad95b286b5e390d81, 0x002d4f], - ), - F::from_limbs( - [0x4b10df195a1e62c5f3a1fed8434f96, 0x7b876a5c766a1e9f60b772f6f9d3e6, 0x000afd], - ), - F::from_limbs( - [0x729323e6a43d9c3a0c5e0027bcb06b, 0x2bcbbf4106de149a775096aade316d, 0x0068f0], - ), - F::from_limbs( - [0xfbd130f283c5b69e922efa201850aa, 0x6ccf34bf27600b6ce3857940d09152, 0x001f8c], - ), - F::from_limbs( - [0xc1d2d20d7a9648616dd104dfe7af57, 0x3a83f4de55e827ccf4829061077400, 0x005461], - ), - F::from_limbs( - [0xa6a757eea27f2fa9af23aa807c2be1, 0x059ee3a1b642e96a613abae5c1d9bc, 0x005306], - ), - F::from_limbs( - [0x16fcab115bdccf5650dc547f83d420, 0xa1b445fbc70549cf76cd4ebc162b97, 0x0020e7], - ), - F::from_limbs( - [0xec67bec93ed7b8fcc288eadc69885e, 0xb2024f06f16a517e48c887951e3cc8, 0x004547], - ), - F::from_limbs( - [0xd13c4436bf8446033d7714239677a3, 0xf550da968bdde1bb8f3f820cb9c88a, 0x002ea5], - ), - F::from_limbs( - [0x2257110db62c1989285663ad98ee1f, 0x5151c6756d96e98d0ff23a9eb5a0ae, 0x0020d4], - ), - F::from_limbs( - [0x9b4cf1f2482fe576d7a99b526711e2, 0x560163280fb149acc815cf032264a5, 0x005319], - ), - F::from_limbs( - [0x0edb74177d38a4ad4cd59e471baa4d, 0x9e2545372c7b28f86f4786ee953296, 0x006cfe], - ), - F::from_limbs( - [0xaec88ee881235a52b32a60b8e455b4, 0x092de46650cd0a4168c082b342d2bd, 0x0006ef], - ), - F::from_limbs( - [0x412dab573abf941818f477fd67a800, 0x9584c239f193a789079521925a487d, 0x00439b], - ), - F::from_limbs( - [0x7c7657a8c39c6ae7e70b8702985801, 0x11ce67638bb48bb0d072e80f7dbcd6, 0x003052], - ), - F::from_limbs( - [0x7f2231c95ebaaa709feba3bd78dc6b, 0xca0f0381c911ddb1b93891f3063039, 0x0057ce], - ), - F::from_limbs( - [0x3e81d1369fa1548f60145b42872396, 0xdd44261bb43655881ecf77aed1d51a, 0x001c1e], - ), - F::from_limbs( - [0xde10ef35c170a32825b20112cdd5e9, 0xcd1b39a42a351e4dedee0a80e57d26, 0x002bd5], - ), - F::from_limbs( - [0xdf9313ca3ceb5bd7da4dfded322a18, 0xda37eff9531314ebea19ff20f2882c, 0x004817], - ), - F::from_limbs( - [0xdd1684a82174337180d4984f1ebc40, 0x3177280da2870d25a01bec21dfa01e, 0x002abe], - ), - F::from_limbs( - [0xe08d7e57dce7cb8e7f2b66b0e143c1, 0x75dc018fdac1261437ec1d7ff86534, 0x00492f], - ), - F::from_limbs( - [0x3d7f2a56a5a89fc8a744a668a546f7, 0x302ac56ea9dfeb1198dd3db79ebe10, 0x000a71], - ), - F::from_limbs( - [0x8024d8a958b35f3758bb58975ab90a, 0x7728642ed36848283f2acbea394743, 0x00697c], - ), - F::from_limbs( - [0x052f439346a8b05b12288d994b4771, 0xb9bad3328e426f695c45a377ddfd7e, 0x00682e], - ), - F::from_limbs( - [0xb874bf6cb7b34ea4edd77166b4b890, 0xed98566aef05c3d07bc26629fa07d5, 0x000bbe], - ), - F::from_limbs( - [0xba62b0c4e030ef1f583b87d6ade6f9, 0x014d6c8e9858d2bbd398ad664ee592, 0x002257], - ), - F::from_limbs( - [0x0341523b1e2b0fe0a7c47729521908, 0xa605bd0ee4ef607e046f5c3b891fc1, 0x005196], - ), - F::from_limbs( - [0x21e6561a1920b10c72391c8a1cc159, 0x16faab48860710a81440947ef47c01, 0x0003e6], - ), - F::from_limbs( - [0x9bbdace5e53b4df38dc6e275e33ea8, 0x90587e54f7412291c3c77522e38952, 0x007007], - ), - F::from_limbs( - [0x8aa947145e5a1fec90dd2dde7b5bef, 0x1560147bf3b782cd30aa038c9c0d6a, 0x00520e], - ), - F::from_limbs( - [0x32fabbeba001df136f22d12184a412, 0x91f315218990b06ca75e06153bf7e9, 0x0021df], - ), - F::from_limbs( - [0x29f6779cbe3cee50df9925dcf2a32c, 0x5c422ae049929893a83fe0e4945804, 0x006de1], - ), - F::from_limbs( - [0x93ad8b63401f10af2066d9230d5cd5, 0x4b10febd33b59aa62fc828bd43ad4f, 0x00060c], - ), - F::from_limbs( - [0x1c29ca120a5e788da46467972393bf, 0x37a599bc3caad9f3d4cbc2d492945a, 0x006d29], - ), - F::from_limbs( - [0xa17a38edf3fd86725b9b9768dc6c42, 0x6fad8fe1409d5946033c46cd4570f9, 0x0006c4], - ), - F::from_limbs( - [0x8bdc93a30df3b872ba7cd748c22385, 0x0d6b5a03665f72c462365d4b3dd6b5, 0x0015a8], - ), - F::from_limbs( - [0x31c76f5cf068468d458327b73ddc7c, 0x99e7cf9a16e8c07575d1ac569a2e9e, 0x005e45], - ), - F::from_limbs( - [0x594d11234a23b7fd8eaaee8a4332e5, 0x6bbb0c03c90c1fc1bd3e89411619ec, 0x00539f], - ), - F::from_limbs( - [0x6456f1dcb438470271551075bccd1c, 0x3b981d99b43c13781ac98060c1eb67, 0x00204e], - ), - F::from_limbs( - [0xbe36f366cdac04fe33f22717ae9a38, 0x1bf270758c7cedda892c24b801fffa, 0x001fcf], - ), - F::from_limbs( - [0xff6d0f9930affa01cc0dd7e85165c9, 0x8b60b927f0cb455f4edbe4e9d60558, 0x00541e], - ), - F::from_limbs( - [0xa2bc16d1f444dd3d8631f87a66bd9b, 0xb86c4fe25686801afb3bb037c2a2a3, 0x006d81], - ), - F::from_limbs( - [0x1ae7ec2e0a1721c279ce0685994266, 0xeee6d9bb26c1b31edccc596a1562b0, 0x00066b], - ), - F::from_limbs( - [0x429fc4b615dc88fbaeb3bdb102cf18, 0x62c9a6820e51c2d5d0d5ef27c7e4d5, 0x003b8b], - ), - F::from_limbs( - [0x7b043e49e87f7604514c414efd30e9, 0x4489831b6ef6706407321a7a10207e, 0x003862], - ), - F::from_limbs( - [0xf771c7881bf39e9792c9e792201cec, 0xf49510f16df834c2564b0fa575d528, 0x000708], - ), - F::from_limbs( - [0xc6323b77e26860686d36176ddfe315, 0xb2be18ac0f4ffe7781bcf9fc62302a, 0x006ce4], - ), - F::from_limbs( - [0x032279af1aaeba30316f6a5cbe727c, 0xe71dd75bc2ecd64c8f0c367f618e97, 0x000c66], - ), - F::from_limbs( - [0xba818950e3ad44cfce9094a3418d85, 0xc0355241ba5b5ced48fbd3227676bc, 0x006786], - ), - F::from_limbs( - [0x95285f31f3aad9c2b862b5a29aa404, 0x4aebd7d15d91b9f6a3756239a7394f, 0x005c5c], - ), - F::from_limbs( - [0x287ba3ce0ab1253d479d495d655bfd, 0x5c6751cc1fb679433492a76830cc04, 0x001791], - ), - F::from_limbs( - [0x5e256b68b3e8a4cd3a2a932e00323d, 0x168e51f06071676c71539cd85de38c, 0x001e97], - ), - F::from_limbs( - [0x5f7e97974a735a32c5d56bd1ffcdc4, 0x90c4d7ad1cd6cbcd66b46cc97a21c7, 0x005556], - ), - F::from_limbs( - [0x87e437986d307d92538c02aa2f6e16, 0xb672f7fb05252c5e0d6a5b267af071, 0x006080], - ), - F::from_limbs( - [0x35bfcb67912b816dac73fc55d091eb, 0xf0e031a2782306dbca9dae7b5d14e2, 0x00136c], - ), - F::from_limbs( - [0x0c2482681b3eecc7d230d176d2502b, 0xd166744e9433dbc0ece48bd069c490, 0x005a31], - ), - F::from_limbs( - [0xb17f8097e31d12382dcf2d892dafd6, 0xd5ecb54ee9145778eb237dd16e40c3, 0x0019bb], - ), - F::from_limbs( - [0x86b8b99e949a02a08d6542914ee68a, 0x2a3b847f9576527c4feb08776b8971, 0x001129], - ), - F::from_limbs( - [0x36eb496169c1fc5f729abc6eb11977, 0x7d17a51de7d1e0bd881d012a6c7be2, 0x0062c4], - ), - F::from_limbs( - [0x4dcb7d01ac2baaa6a808ecba9ac50b, 0x596e3a73a678b5b2804924315b5201, 0x002545], - ), - F::from_limbs( - [0x6fd885fe5230545957f71245653af6, 0x4de4ef29d6cf7d8757bee5707cb352, 0x004ea8], - ), - F::from_limbs( - [0xac76cc4049dd79650254e725ec2473, 0x0e33010313dbc8d859f57cc1de01fe, 0x005030], - ), - F::from_limbs( - [0x112d36bfb47e859afdab17da13db8e, 0x9920289a696c6a617e128cdffa0355, 0x0023bd], - ), - F::from_limbs( - [0x998959ee6be9e2410139dd5d09fffd, 0xf17cbc4b985729a80acaddf2df26ce, 0x001503], - ), - F::from_limbs( - [0x241aa91192721cbefec621a2f60004, 0xb5d66d51e4f10991cd3d2baef8de85, 0x005ee9], - ), - F::from_limbs( - [0x71139ca7d67729c5bde460a2bdde47, 0x104a66cf8ad94927833498c5a6b856, 0x002bf7], - ), - F::from_limbs( - [0x4c90665827e4d53a421b9e5d4221ba, 0x9708c2cdf26eea1254d370dc314cfd, 0x0047f6], - ), - F::from_limbs( - [0x8b90011d36f27ab1f8b0fada34ec97, 0xa849a2a72f072104cea55f96f8dc55, 0x0036a4], - ), - F::from_limbs( - [0x321401e2c769844e074f0425cb136a, 0xff0986f64e4112350962aa0adf28fe, 0x003d48], - ), - F::from_limbs( - [0xefe96b3eb765c50b865660e5468565, 0xdc08604089a07e4077bf84d06c3ecf, 0x007390], - ), - F::from_limbs( - [0xcdba97c146f639f479a99e1ab97a9c, 0xcb4ac95cf3a7b4f9604884d16bc683, 0x00005c], - ), - F::from_limbs( - [0xdefcb7f945a2551e66a066094d7636, 0x02f3870607e14fa3bbdd211d8337d4, 0x004421], - ), - F::from_limbs( - [0xdea74b06b8b9a9e1995f98f6b289cb, 0xa45fa2977566e3961c2ae88454cd7e, 0x002fcc], - ), - F::from_limbs( - [0x5822b64e0b9b26373a682660761944, 0xa7eef5328e8818fe26781cf3ff9137, 0x001c36], - ), - F::from_limbs( - [0x65814cb1f2c0d8c8c597d89f89e6bd, 0xff64346aeec01a3bb18fecadd8741c, 0x0057b6], - ), - F::from_limbs( - [0xfb335a0dcf92b2fc5c7a8d9430e9cb, 0xa76183551e88d8097dcb514c5654dd, 0x005f25], - ), - F::from_limbs( - [0xc270a8f22ec94c03a385716bcf1636, 0xfff1a6485ebf5b305a3cb85581b075, 0x0014c7], - ), - F::from_limbs( - [0x31363172d494c26fb839a9faf8188e, 0x2c9f639a3a5ab566a93088cd7eb1c4, 0x006c1a], - ), - F::from_limbs( - [0x8c6dd18d29c73c9047c6550507e773, 0x7ab3c60342ed7dd32ed780d459538f, 0x0007d3], - ), - F::from_limbs( - [0xaa1c87567b5903e83915b2035faea7, 0x57b15ac7081ca9b60f8f2c9fb54863, 0x0048b0], - ), - F::from_limbs( - [0x13877ba98302fb17c6ea4cfca0515a, 0x4fa1ced6752b8983c878dd0222bcf0, 0x002b3d], - ), - F::from_limbs( - [0xafbb716bbc387cca1310530cc044fa, 0x5601643b2882d8a0074dfb20e2d164, 0x00211f], - ), - F::from_limbs( - [0x0de8919442238235ecefabf33fbb07, 0x5151c56254c55a99d0ba0e80f533ef, 0x0052ce], - ), - F::from_limbs( - [0x10e1a8f2f64bf41a2ef73c66cbb7c6, 0x8f02f37c8d2455ee9f580df9527030, 0x00173a], - ), - F::from_limbs( - [0xacc25a0d08100ae5d108c29934483b, 0x18503620f023dd4b38affba8859523, 0x005cb3], - ), - F::from_limbs( - [0xa6122f655c997c2d3f94e98ca49bbb, 0xde0653949e912e81c1c7698c577526, 0x00143d], - ), - F::from_limbs( - [0x1791d39aa1c282d2c06b15735b6446, 0xc94cd608deb704b81640a01580902d, 0x005faf], - ), - F::from_limbs( - [0x1124d405bf7aabdf8d55151ef4f9ec, 0xc3c3bed53d882ad9387c916f12854a, 0x002055], - ), - F::from_limbs( - [0xac7f2efa3ee1532072aae9e10b0615, 0xe38f6ac83fc008609f8b7832c58009, 0x005397], - ), - F::from_limbs( - [0x2c74299a10e7c95e09090a764f6390, 0xbfebc2782a92610f3e639653fe3c1c, 0x006efc], - ), - F::from_limbs( - [0x912fd965ed7435a1f6f6f489b09c71, 0xe767672552b5d22a99a4734dd9c937, 0x0004f0], - ), - F::from_limbs( - [0x886bbc04a47c4088112f52fe2c4432, 0x3dfdc5b94c147f938adf9e252d8003, 0x006eef], - ), - F::from_limbs( - [0x353846fb59dfbe77eed0ac01d3bbcf, 0x695563e43133b3a64d286b7caa8550, 0x0004fe], - ), - F::from_limbs( - [0xbd0f5c286ae03a2c5fd0ee29a61068, 0x4b0ce3eea8ca794fdc040507aba85a, 0x003012], - ), - F::from_limbs( - [0x0094a6d7937bc4d3a02f10d659ef99, 0x5c4645aed47db9e9fc04049a2c5cf9, 0x0043db], - ), - F::from_limbs( - [0x36b7edd690eb355bbdd1528660c72d, 0x4bd9de921697a1e738e2f329ab8e0b, 0x001152], - ), - F::from_limbs( - [0x86ec15296d70c9a4422eac799f38d4, 0x5b794b0b66b091529f2516782c7748, 0x00629b], - ), - F::from_limbs( - [0xd72ad65f46d726783ee4e9030b121d, 0x4f5a2a19f612bc5b54bb9d04899f77, 0x0032ec], - ), - F::from_limbs( - [0xe6792ca0b784d887c11b15fcf4ede4, 0x57f8ff83873576de834c6c9d4e65db, 0x004101], - ), - F::from_limbs( - [0xc38dc29ee64919bd5b0d2da1fdb04f, 0xadda3175e8ed6509386b35e64b9e42, 0x005508], - ), - F::from_limbs( - [0xfa1640611812e542a4f2d15e024fb2, 0xf978f827945ace309f9cd3bb8c6710, 0x001ee4], - ), - F::from_limbs( - [0x8e7c5ddb1443d706f0db8c7121f9f3, 0x81191b6befa46edbc381958375eb7d, 0x001666], - ), - F::from_limbs( - [0x2f27a524ea1827f90f24728ede060e, 0x263a0e318da3c45e1486741e6219d6, 0x005d87], - ), - F::from_limbs( - [0x362129fcf80f3a0c35fe1ecc54fea6, 0x7330eb7307e28a976c40c41df52101, 0x00446d], - ), - F::from_limbs( - [0x8782d903064cc4f3ca01e033ab015b, 0x34223e2a7565a8a26bc74583e2e452, 0x002f80], - ), - F::from_limbs( - [0x896469b6669563c15ccddff613e6c3, 0x5ad7346c2a74d501f59804e685491d, 0x0045ad], - ), - F::from_limbs( - [0x343f994997c69b3ea3321f09ec193e, 0x4c7bf53152d35e37e27004bb52bc36, 0x002e40], - ), - F::from_limbs( - [0x71eca35d5272bc11b2b030ee121117, 0xac36dbd7d8ed6f40d43527acf89d16, 0x004c3a], - ), - F::from_limbs( - [0x4bb75fa2abe942ee4d4fce11edeeea, 0xfb1c4dc5a45ac3f903d2e1f4df683d, 0x0027b2], - ), - F::from_limbs( - [0x02b20f5415c8edfd3888c1a912f735, 0x7dd6b49f8d01590557dbc7ff3a72c5, 0x007263], - ), - F::from_limbs( - [0xbaf1f3abe8931102c7773d56ed08cc, 0x297c74fdf046da34802c41a29d928e, 0x00018a], - ), - F::from_limbs( - [0x07af22564f84f8f83aecc92580b8aa, 0x5a42aef9c0269ffb74496a8aa8d45f, 0x004f6e], - ), - F::from_limbs( - [0xb5f4e0a9aed70607c51335da7f4757, 0x4d107aa3bd21933e63be9f172f30f4, 0x00247f], - ), - F::from_limbs( - [0x9c70269bbd114690350f4e3f8df6a5, 0x89e17d7aec42fb14952aba78db9462, 0x0017ca], - ), - F::from_limbs( - [0x2133dc64414ab86fcaf0b0c072095c, 0x1d71ac229105382542dd4f28fc70f1, 0x005c23], - ), - F::from_limbs( - [0x5984f698b67a4f84e0147535fc4cc7, 0x9fb480cf1962424ccc9781abb5d4bd, 0x005cc5], - ), - F::from_limbs( - [0x641f0c6747e1af7b1feb89ca03b33a, 0x079ea8ce63e5f0ed0b7087f6223096, 0x001728], - ), - F::from_limbs( - [0xcc3eb7bca53cba14e4436934073cf8, 0xa29cc0a9b176bab082cf14139ca439, 0x000be1], - ), - F::from_limbs( - [0xf1654b43591f44eb1bbc95cbf8c309, 0x04b668f3cbd178895538f58e3b6119, 0x00680c], - ), - F::from_limbs( - [0x577ec3fec64b94ffa0768034358069, 0x2f0427377bf2559ffc5a62719e22db, 0x001c74], - ), - F::from_limbs( - [0x66253f0138106a005f897ecbca7f98, 0x784f02660155dd99dbada73039e278, 0x005779], - ), - F::from_limbs( - [0x336422fb2484bea951fae8db934564, 0x8cfc63f4ce5809a7f4331ef665f6ff, 0x002060], - ), - F::from_limbs( - [0x8a3fe004d9d74056ae0516246cba9d, 0x1a56c5a8aef02991e3d4eaab720e54, 0x00538d], - ), - F::from_limbs( - [0x2fee58775d07250cdf6a3a35ecf57f, 0x5f739bcb6b817b150a3d799a20a549, 0x001e1e], - ), - F::from_limbs( - [0x8db5aa88a154d9f32095c4ca130a82, 0x47df8dd211c6b824cdca9007b7600a, 0x0055cf], - ), - F::from_limbs( - [0xacd165ded9ee4bee85bd9f44eadafc, 0x8c66cae96230cc8ca46d95273f8560, 0x0043aa], - ), - F::from_limbs( - [0x10d29d21246db3117a425fbb152505, 0x1aec5eb41b1766ad339a747a987ff3, 0x003043], - ), - F::from_limbs( - [0xa62701b792b4b927428087510b4690, 0x4dfbddaa0f7018a5f6c9d6ee753c3a, 0x000c3e], - ), - F::from_limbs( - [0x177d01486ba745d8bd7f77aef4b971, 0x59574bf36dd81a93e13e32b362c919, 0x0067af], - ), - F::from_limbs( - [0x2bb8a6efad1e27f723ac02bc953aad, 0x19512cc16fca078fe779deb9655e56, 0x0027db], - ), - F::from_limbs( - [0x91eb5c10513dd708dc53fc436ac554, 0x8e01fcdc0d7e2ba9f08e2ae872a6fd, 0x004c12], - ), - F::from_limbs( - [0x4b2cfa769fd7090da3400381fcc74e, 0x37ba404a0d987ba20ac46f869f0e03, 0x002a5f], - ), - F::from_limbs( - [0x727708895e84f5f25cbffb7e0338b3, 0x6f98e9536fafb797cd439a1b38f750, 0x00498e], - ), - F::from_limbs( - [0x4c63965a705ecf9e985c7e18ed3d94, 0x676f45ec4c4be580c83d05f64c7819, 0x00641b], - ), - F::from_limbs( - [0x71406ca58dfd2f6167a380e712c26d, 0x3fe3e3b130fc4db90fcb03ab8b8d3a, 0x000fd2], - ), - F::from_limbs( - [0x40a5a6bee95b75b0a24612e823d13d, 0xb243df1e9853a678f914d4d20ec0cd, 0x004d3d], - ), - F::from_limbs( - [0x7cfe5c411500894f5db9ec17dc2ec4, 0xf50f4a7ee4f48cc0def334cfc94486, 0x0026af], - ), - F::from_limbs( - [0xe486ab9c1d181d325a4c24c7ca7cc7, 0x380a113e0de0bb589129ecd866e89a, 0x0004e7], - ), - F::from_limbs( - [0xd91d5763e143e1cda5b3da3835833a, 0x6f49185f6f6777e146de1cc9711cb8, 0x006f06], - ), - F::from_limbs( - [0xdad8d7196fb3f65c1941863d1168cd, 0x90308f169ce69e837a858ba1f4dbec, 0x0014da], - ), - F::from_limbs( - [0xe2cb2be68ea808a3e6be78c2ee9734, 0x17229a86e06194b65d827dffe32966, 0x005f13], - ), - F::from_limbs( - [0x74bd923dc36a592cc0d7becb4f8876, 0x61262f282dcae92f7171df3b47edda, 0x005b1b], - ), - F::from_limbs( - [0x48e670c23af1a5d33f284034b0778b, 0x462cfa754f7d4a0a66962a66901779, 0x0018d2], - ), - F::from_limbs( - [0x6d7db0e788ca47358d0356fe5c9dd1, 0x3bf5a632c343afe3c67ccb9bc555d5, 0x004101], - ), - F::from_limbs( - [0x502652187591b7ca72fca801a36230, 0x6b5d836aba048356118b3e0612af7e, 0x0032ec], - ), - F::from_limbs( - [0x8478c058ba081aa9a5318b553b5055, 0x204b4d180e5fafaf710124fe64cc2f, 0x00303b], - ), - F::from_limbs( - [0x392b42a74453e4565ace73aac4afac, 0x8707dc856ee8838a6706e4a3733924, 0x0043b2], - ), - F::from_limbs( - [0xdedeaa3d44c908d6481057712b62db, 0xae5fdb8f2f3d6ddcbaedc9453e96d0, 0x001bb7], - ), - F::from_limbs( - [0xdec558c2b992f629b7efa78ed49d26, 0xf8f34e0e4e0ac55d1d1a405c996e82, 0x005835], - ), - F::from_limbs( - [0xc6be59ee6c4978fab7b69fb529b7e3, 0x6c09a50cc22023fa498ade54827584, 0x006aeb], - ), - F::from_limbs( - [0xf6e5a9119212860548495f4ad6481e, 0x3b498490bb280f3f8e7d2b4d558fce, 0x000902], - ), - F::from_limbs( - [0x8f864a71161064a192553890378d77, 0x17ee086c6e073fd463744dfe796c4c, 0x004698], - ), - F::from_limbs( - [0x2e1db88ee84b9a5e6daac66fc8728a, 0x8f6521310f40f3657493bba35e9907, 0x002d55], - ), - F::from_limbs( - [0x9a9969bef61c7030607eed4e106241, 0xd1f0e3ff52986368034091730c6b9d, 0x000b2c], - ), - F::from_limbs( - [0x230a9941083f8ecf9f8111b1ef9dc0, 0xd562459e2aafcfd1d4c7782ecb99b6, 0x0068c0], - ), - F::from_limbs( - [0x507e6d99ae9fb5cf3f5b54b4aec959, 0x04f0408c123beba4f8ff3b7a8c1be7, 0x00027f], - ), - F::from_limbs( - [0x6d2595664fbc4930c0a4aa4b5136a8, 0xa262e9116b0c4794df08ce274be96c, 0x00716e], - ), - F::from_limbs( - [0xd9ded9e5b846364876072015b5eb65, 0xf33c820d1972523c36cb307c474c66, 0x002c3d], - ), - F::from_limbs( - [0xe3c5291a4615c8b789f8deea4a149c, 0xb416a79063d5e0fda13cd92590b8ec, 0x0047af], - ), - F::from_limbs( - [0xeb1be306684058ab89474dafefa2eb, 0xad8e0aff72fddd5f394035f10efc55, 0x004171], - ), - F::from_limbs( - [0xd2881ff9961ba65476b8b150105d16, 0xf9c51e9e0a4a55da9ec7d3b0c908fd, 0x00327b], - ), - F::from_limbs( - [0x254f5541ef7930a331a41b73f7abaa, 0xc571ec70792379996efebe4f0acfa9, 0x002115], - ), - F::from_limbs( - [0x9854adbe0ee2ce5cce5be38c085457, 0xe1e13d2d0424b9a069094b52cd35aa, 0x0052d7], - ), - F::from_limbs( - [0xb41f6fa66c6185499dc9307637db4e, 0x33aa2adfa3d536b7641585985e553c, 0x000617], - ), - F::from_limbs( - [0x0984935991fa79b66236ce89c824b3, 0x73a8febdd972fc8273f2840979b017, 0x006dd6], - ), - F::from_limbs( - [0xf9ceeec6dcc80182ea775599840a35, 0xfeed9f0db0a00b8ee40fc17a7860b4, 0x00597c], - ), - F::from_limbs( - [0xc3d514392193fd7d1588a9667bf5cc, 0xa8658a8fcca827aaf3f848275fa49e, 0x001a70], - ), - F::from_limbs( - [0x7c3afc63865e0d5abea05493f97fa6, 0x8700c692c174b22a86412d8ed07cee, 0x0040a9], - ), - F::from_limbs( - [0x4169069c77fdf1a5415faa6c06805b, 0x2052630abbd3810f51c6dc13078865, 0x003344], - ), - F::from_limbs( - [0x6fce9cfc06ce536b61e1f83655b4f5, 0xd69266a9fcde925a42a6d3f34fed4c, 0x0040d7], - ), - F::from_limbs( - [0x4dd56603f78dab949e1e06c9aa4b0c, 0xd0c0c2f38069a0df956135ae881807, 0x003315], - ), - F::from_limbs( - [0x6da96883a873462ccc2c2cf47c63df, 0x9ad5a4f61993a52471a84bb496a6c3, 0x0007f6], - ), - F::from_limbs( - [0x4ffa9a7c55e8b8d333d3d20b839c22, 0x0c7d84a763b48e15665fbded415e90, 0x006bf7], - ), - F::from_limbs( - [0xcdadabd0b38af56c035d9eab203dbe, 0x7ca455960f91959b712aca7c881bfe, 0x0021b1], - ), - F::from_limbs( - [0xeff6572f4ad10993fca26054dfc243, 0x2aaed4076db69d9e66dd3f254fe954, 0x00523c], - ), - F::from_limbs( - [0xe00594924fb402d6cd14fd27e25700, 0x44261676fcc9f3bc3df6273fd94bd1, 0x003186], - ), - F::from_limbs( - [0xdd9e6e6daea7fc2932eb01d81da901, 0x632d1326807e3f7d9a11e261feb981, 0x004267], - ), - F::from_limbs( - [0x0ee7d30e12b23d1ab447818017f222, 0xc6b854445b5ea6798aa04ee79bdb41, 0x0068aa], - ), - F::from_limbs( - [0xaebc2ff1eba9c1e54bb87d7fe80ddf, 0xe09ad55921e98cc04d67baba3c2a12, 0x000b42], - ), - F::from_limbs( - [0xfea3e5c0c9365a897755321979df0f, 0x1526811d79ccb36c6e20369d140fc1, 0x00306c], - ), - F::from_limbs( - [0xbf001d3f3525a47688aacce68620f2, 0x922ca880037b7fcd69e7d304c3f591, 0x004381], - ), - F::from_limbs( - [0x749a7cd475fcba89e3a03ed602252d, 0x3d4724f28a112be91e58eee71d4355, 0x006a7a], - ), - F::from_limbs( - [0x4909862b885f44761c5fc029fddad4, 0x6a0c04aaf3370750b9af1ababac1fe, 0x000973], - ), - F::from_limbs( - [0x0f1173523113cd28d02344081ebd9c, 0x6aa34cdcd1600752f686c03aab1979, 0x0072a9], - ), - F::from_limbs( - [0xae928fadcd4831d72fdcbaf7e14265, 0x3cafdcc0abe82be6e18149672cebda, 0x000144], - ), - F::from_limbs( - [0x19809deb59fb23d7cd720d549ab2eb, 0x7b346cc7e5c436afd1adf36438b891, 0x001f2d], - ), - F::from_limbs( - [0xa4236514a460db28328df1ab654d16, 0x2c1ebcd59783fc8a065a163d9f4cc2, 0x0054c0], - ), - F::from_limbs( - [0x61c74f88aecaa3f8518c32a0f5203d, 0x2e03ec6552ab659ae7550d5fbfbdcb, 0x001264], - ), - F::from_limbs( - [0x5bdcb3774f915b07ae73cc5f0adfc4, 0x794f3d382a9ccd9ef0b2fc42184788, 0x006189], - ), - F::from_limbs( - [0x0f7509eb12bf7a12d6b6c03800e954, 0xd14a7eea8bf2615934146cd481131e, 0x006ced], - ), - F::from_limbs( - [0xae2ef914eb9c84ed29493ec7ff16ad, 0xd608aab2f155d1e0a3f39ccd56f235, 0x0006ff], - ), - F::from_limbs( - [0x5972f0c64c836900ff94c5632452fe, 0xb39695b0958edb6e036992fd59a041, 0x000050], - ), - F::from_limbs( - [0x64311239b1d895ff006b399cdbad03, 0xf3bc93ece7b957cbd49e76a47e6512, 0x00739c], - ), - F::from_limbs( - [0x82918a1275e4859be951ce740d7fdb, 0xba9bb0ed7d9163545d0bf99fcaa395, 0x0056d7], - ), - F::from_limbs( - [0x3b1278ed8877796416ae308bf28026, 0xecb778afffb6cfe57afc10020d61be, 0x001d15], - ), - F::from_limbs( - [0x1601a76229c1adfbecb0a04cff1fd5, 0x7a5cdde8aca2e66faae39b39c088f7, 0x00292f], - ), - F::from_limbs( - [0xa7a25b9dd49a5104134f5eb300e02c, 0x2cf64bb4d0a54cca2d246e68177c5c, 0x004abe], - ), - F::from_limbs( - [0xb612d30c081aabf34e05525f877021, 0x4bfe667932157f92916e86d96b6930, 0x004bf2], - ), - F::from_limbs( - [0x07912ff3f641530cb1faaca0788fe0, 0x5b54c3244b32b3a7469982c86c9c23, 0x0027fb], - ), - F::from_limbs( - [0xd5ea380ce32e6b2dd42bd931d880fa, 0xe427c36951f6d473cff7407c6dcfb4, 0x006e88], - ), - F::from_limbs( - [0xe7b9caf31b2d93d22bd425ce277f07, 0xc32b66342b515ec60810c9256a359e, 0x000564], - ), - F::from_limbs( - [0x0f84475022fe939470465bee013097, 0x58bad03c9dbd58155a83a8ea6c3390, 0x002cda], - ), - F::from_limbs( - [0xae1fbbafdb5d6b6b8fb9a311fecf6a, 0x4e985960df8adb247d8460b76bd1c3, 0x004713], - ), - F::from_limbs( - [0xa16ef813f31e5f83b68b581d21fd33, 0xd5284c1600d347aae07d7872a6391a, 0x005202], - ), - F::from_limbs( - [0x1c350aec0b3d9f7c4974a6e2de02ce, 0xd22add877c74eb8ef78a912f31cc39, 0x0021ea], - ), - F::from_limbs( - [0x48051e0746d4d27634d53c101b484f, 0x274c05b653d0979001b1a9c1802b67, 0x00425b], - ), - F::from_limbs( - [0x759ee4f8b7872c89cb2ac2efe4b7b2, 0x800723e729779ba9d6565fe057d9ec, 0x003192], - ), - F::from_limbs( - [0x8503100bf4f456b35f7bf5575c7b23, 0x45cdf7a9ba4cf1bf9c0b78cfea72b9, 0x006f01], - ), - F::from_limbs( - [0x38a0f2f40967a84ca08409a8a384de, 0x618531f3c2fb417a3bfc90d1ed929a, 0x0004ec], - ), - F::from_limbs( - [0xf49d1fef18fe446a96b2f8aba94ca5, 0x0381d5637adbe052493f508ebbd64e, 0x005062], - ), - F::from_limbs( - [0xc906e310e55dba95694d065456b35c, 0xa3d1543a026c52e78ec8b9131c2f04, 0x00238b], - ), - F::from_limbs( - [0xe70398715625d1fe45dab729efaea5, 0x48d147f9e07b866b74814bbc6fc20e, 0x00284b], - ), - F::from_limbs( - [0xd6a06a8ea8362d01ba2547d610515c, 0x5e81e1a39cccacce6386bde5684344, 0x004ba2], - ), - F::from_limbs( - [0x43e19212b8aa4df3a5ad5791a994d8, 0x540c98122505b6ecd0eb892cffb184, 0x000dd3], - ), - F::from_limbs( - [0x79c270ed45b1b10c5a52a76e566b29, 0x5346918b58427c4d071c8074d853cf, 0x00661a], - ), - F::from_limbs( - [0x6bc6576070693cb7d4f57ca8e234d2, 0x78031812872bf13558bc3f0560e2d7, 0x00695a], - ), - F::from_limbs( - [0x51ddab9f8df2c2482b0a82571dcb2f, 0x2f50118af61c42047f4bca9c77227c, 0x000a93], - ), - F::from_limbs( - [0xfe1703fe711c29b80e538fb0db8eac, 0xdb43a94f5b7bb38f39714deeb1ae8a, 0x0014bd], - ), - F::from_limbs( - [0xbf8cff018d3fd547f1ac6f4f247155, 0xcc0f804e21cc7faa9e96bbb32656c8, 0x005f2f], - ), - F::from_limbs( - [0x24660d2d313d631f591af96e8a7fee, 0xc197a37224f76ca24d962e9700475f, 0x00347c], - ), - F::from_limbs( - [0x993df5d2cd1e9be0a6e50591758013, 0xe5bb862b5850c6978a71db0ad7bdf4, 0x003f70], - ), - F::from_limbs( - [0x88d41415a9d2b7905e2d22cc47814f, 0x81307e7897487efc9679d3ae6717af, 0x0029a4], - ), - F::from_limbs( - [0x34cfeeea5489476fa1d2dc33b87eb2, 0x2622ab24e5ffb43d418e35f370eda4, 0x004a49], - ), - F::from_limbs( - [0xf108e4ee1b6fb6162787b451688c10, 0x962e55e3bd5fbe8f28ffbc2667540c, 0x000c3d], - ), - F::from_limbs( - [0xcc9b1e11e2ec48e9d8784aae9773f1, 0x1124d3b9bfe874aaaf084d7b70b146, 0x0067b0], - ), - F::from_limbs( - [0x206cf9748b83dd96d828215664721a, 0xe83969d643cbcec6ec3b08bdf75cb5, 0x006a6b], - ), - F::from_limbs( - [0x9d37098b72d8216927d7dda99b8de7, 0xbf19bfc7397c6472ebcd00e3e0a89e, 0x000981], - ), - F::from_limbs( - [0x44895d478fa9ddd1291c9619ff853a, 0x8c88d24405c2e8c071ee884d75d3a4, 0x004ef4], - ), - F::from_limbs( - [0x791aa5b86eb2212ed6e368e6007ac7, 0x1aca575977854a79661981546231af, 0x0024f9], - ), - F::from_limbs( - [0x5a424237cbda19892e38be9f062611, 0x11bc8052d3e3f0c732b4b9a2d2ebd0, 0x000a94], - ), - F::from_limbs( - [0x6361c0c83281e576d1c74060f9d9f0, 0x9596a94aa9644272a5534fff051983, 0x006959], - ), - F::from_limbs( - [0x7d89921705901e5de06a0b012d0243, 0x594fdeb2e307f3e1fb2deb76f3bb71, 0x006c45], - ), - F::from_limbs( - [0x401a70e8f8cbe0a21f95f3fed2fdbe, 0x4e034aea9a403f57dcda1e2ae449e2, 0x0007a8], - ), - F::from_limbs( - [0xa788bc6d17181423c79bd954755494, 0x0481d07a7e9f35032fbef532789ce5, 0x00611b], - ), - F::from_limbs( - [0x161b4692e743eadc386425ab8aab6d, 0xa2d15922fea8fe36a849146f5f686e, 0x0012d2], - ), - F::from_limbs( - [0x1653d1c1bc6e308ea22d6694856daa, 0xb4cc459331ab514ca0d0085bb39e9d, 0x005068], - ), - F::from_limbs( - [0xa750313e41edce715dd2986b7a9257, 0xf286e40a4b9ce1ed373801462466b6, 0x002384], - ), - F::from_limbs( - [0x054f3e075b729d81098d794dea5701, 0x6abf41700b9842a65fa559497c8810, 0x004f9d], - ), - F::from_limbs( - [0xb854c4f8a2e9617ef67285b215a900, 0x3c93e82d71aff0937862b0585b7d43, 0x002450], - ), - F::from_limbs( - [0x5057d57703f9a87e126235ecd43026, 0x74affe564b7a8b3844deac9ea56431, 0x001736], - ), - F::from_limbs( - [0x6d4c2d88fa625681ed9dc9132bcfdb, 0x32a32b4731cda80193295d0332a122, 0x005cb7], - ), - F::from_limbs( - [0xb47dbca9cae90afbe221bbe8b0070f, 0x1707ef01055ae713812af75c3ce340, 0x006e6d], - ), - F::from_limbs( - [0x092646563372f4041dde43174ff8f2, 0x904b3a9c77ed4c2656dd12459b2213, 0x000580], - ), - F::from_limbs( - [0x6f364ee6ca599e2a57e7c2e3829f5d, 0xbff09ddfad632d741d8ddfa5d583ef, 0x0061f4], - ), - F::from_limbs( - [0x4e6db419340260d5a8183c1c7d60a4, 0xe7628bbdcfe505c5ba7a29fc028164, 0x0011f8], - ), - F::from_limbs( - [0x0b303e3b187bfe2d29236b4aba2c30, 0x7d686e321ed7e2bf66e7d85fbbf104, 0x004f5a], - ), - F::from_limbs( - [0xb273c4c4e5e000d2d6dc93b545d3d1, 0x29eabb6b5e70507a712031421c144f, 0x002493], - ), - F::from_limbs( - [0x8af5568bee084eafc9284dc5c825b3, 0x1e8cce6557ae443ba5d28686f073a4, 0x001c5b], - ), - F::from_limbs( - [0x32aeac741053b05036d7b13a37da4e, 0x88c65b382599eefe3235831ae791af, 0x005792], - ), - F::from_limbs( - [0x7e09e82f1c3e9d4efb199435cf1951, 0x5d7839b1fcfcf9503d8f57a4d6614e, 0x003b14], - ), - F::from_limbs( - [0x3f9a1ad0e21d61b104e66aca30e6b0, 0x49daefeb804b39e99a78b1fd01a405, 0x0038d9], - ), - F::from_limbs( - [0x55d107b1c203eab17bd0bb5bad1182, 0x9c8b5342ec1d44944d3f7324eb7480, 0x001cb9], - ), - F::from_limbs( - [0x67d2fb4e3c58144e842f43a452ee7f, 0x0ac7d65a912aeea58ac8967cec90d3, 0x005734], - ), - F::from_limbs( - [0xcc98e5c7db5187d8c1d40bb10adc59, 0xc0675265fa2dfc519755c087a32876, 0x003c33], - ), - F::from_limbs( - [0xf10b1d38230a77273e2bf34ef523a8, 0xe6ebd737831a36e840b2491a34dcdc, 0x0037b9], - ), - F::from_limbs( - [0xc2ff3e383faedce4a93fcddb1211f4, 0x208ddf82338cb12eca28a2ee1691e3, 0x0035c4], - ), - F::from_limbs( - [0xfaa4c4c7bead221b56c03124edee0d, 0x86c54a1b49bb820b0ddf66b3c1736f, 0x003e29], - ), - F::from_limbs( - [0x770750a3295ce013845fe3e81af4a9, 0x5e069cf1ffd4b20beea0d3d2717cab, 0x0040d6], - ), - F::from_limbs( - [0x469cb25cd4ff1eec7ba01b17e50b58, 0x494c8cab7d73812de96735cf6688a8, 0x003317], - ), - F::from_limbs( - [0x4b6d768688f6163f7aef5a8d5a484b, 0xc4e0a34ac8817ca0911d55cb959127, 0x003367], - ), - F::from_limbs( - [0x72368c797565e8c08510a472a5b7b6, 0xe2728652b4c6b69946eab3d642742c, 0x004085], - ), - F::from_limbs( - [0x0454e65c549e730c28faecaf1e8d22, 0x56b81cdb2573eb5e4c7cc761dd4520, 0x005d92], - ), - F::from_limbs( - [0xb94f1ca3a9bd8bf3d7051250e172df, 0x509b0cc257d447db8b8b423ffac033, 0x00165b], - ), - F::from_limbs( - [0x51ee0472a016488c27b766a60882f9, 0x11507fe896a5498eb71d7559be4c99, 0x0052c2], - ), - F::from_limbs( - [0x6bb5fe8d5e45b673d8489859f77d08, 0x9602a9b4e6a2e9ab20ea944819b8ba, 0x00212b], - ), - F::from_limbs( - [0xc5bca14681745c76d754972b0417a7, 0x2f86c9d8d39011f0f8130ff3be0f88, 0x0018f0], - ), - F::from_limbs( - [0xf7e761b97ce7a28928ab67d4fbe85a, 0x77cc5fc4a9b82148dff4f9ae19f5ca, 0x005afd], - ), - F::from_limbs( - [0x638559361842718ac62a5b6e5ad517, 0x6fb41d42210a721065e2d58541d8ed, 0x004100], - ), - F::from_limbs( - [0x5a1ea9c9e6198d7539d5a391a52aea, 0x379f0c5b5c3dc1297225341c962c66, 0x0032ed], - ), - F::from_limbs( - [0x1950751921323a56171b04b937cdaf, 0x937ddeaca07bc012d70246b27dc065, 0x0024ee], - ), - F::from_limbs( - [0xa4538de6dd29c4a9e8e4fa46c83252, 0x13d54af0dccc73270105c2ef5a44ee, 0x004eff], - ), - F::from_limbs( - [0x2a319f1febe961d72e9ae3be101d4a, 0x9c3f07698480401ec4aa8199861df1, 0x004b05], - ), - F::from_limbs( - [0x937263e012729d28d1651b41efe2b7, 0x0b142233f8c7f31b135d880851e762, 0x0028e8], - ), - F::from_limbs( - [0x6741faefb9fa2d5aa8609bb6978a8a, 0x21978e244f9d146d95e0e0022b3e03, 0x001a07], - ), - F::from_limbs( - [0x566208104461d1a5579f6349687577, 0x85bb9b792dab1ecc4227299facc750, 0x0059e6], - ), - F::from_limbs( - [0x45ddc7c4867210129ed5dca288fdad, 0xda03c2eccc63b00e689f35ee7c4f17, 0x000145], - ), - F::from_limbs( - [0x77c63b3b77e9eeed612a225d770254, 0xcd4f66b0b0e4832b6f68d3b35bb63c, 0x0072a7], - ), - F::from_limbs( - [0xb74b780ee14bd5ffd348ed4368ea6b, 0xe856ea5ac03fc0e50bf8399e8a372b, 0x0030c0], - ), - F::from_limbs( - [0x06588af11d1029002cb711bc971596, 0xbefc3f42bd087254cc0fd0034dce28, 0x00432c], - ), - F::from_limbs( - [0xb180cc06183fdc238b0dcafb1476da, 0x9abcdc6fffbff88b8ccd41b6fe9072, 0x006dae], - ), - F::from_limbs( - [0x0c2336f9e61c22dc74f23404eb8927, 0x0c964d2d7d883aae4b3ac7ead974e1, 0x00063f], - ), - F::from_limbs( - [0xa0aa4b47b65a9aa9b9e943288d1377, 0x1a344d6f5983ebaddafe1ce61a3e55, 0x002139], - ), - F::from_limbs( - [0x1cf9b7b8480164564616bbd772ec8a, 0x8d1edc2e23c4478bfd09ecbbbdc6fe, 0x0052b4], - ), - F::from_limbs( - [0xda2c1965bb0e4df3f081d760a857c1, 0x717dde8a10fab09cc8a6d690d6d975, 0x002b2c], - ), - F::from_limbs( - [0xe377e99a434db10c0f7e279f57a840, 0x35d54b136c4d829d0f613311012bdd, 0x0048c1], - ), - F::from_limbs( - [0x4b18da6a0cb40d9f323ea3d74cb3ed, 0xd903bc2a828e0a910beaf7801c3c4a, 0x0068a3], - ), - F::from_limbs( - [0x728b2895f1a7f160cdc15b28b34c14, 0xce4f6d72faba28a8cc1d1221bbc909, 0x000b49], - ), - F::from_limbs( - [0xdbfda03b545ae6d8953347b71b2763, 0x4045701c2afdeb6b10d0ae8fdb6702, 0x004e58], - ), - F::from_limbs( - [0xe1a662c4aa0118276accb748e4d89e, 0x670db981524a47cec7375b11fc9e50, 0x002595], - ), - F::from_limbs( - [0x29f1a50e3889f85141aa86a2a5ecfe, 0xb7b08d8f15ade18c576cea199d2fa8, 0x000189], - ), - F::from_limbs( - [0x93b25df1c5d206aebe55785d5a1303, 0xefa29c0e679a51ad809b1f883ad5ab, 0x007263], - ), - F::from_limbs( - [0xb6ef0eb662097c3848f25bc12e55e5, 0x0f09621ec698c303dcd2525aa8e1d5, 0x00207c], - ), - F::from_limbs( - [0x06b4f4499c5282c7b70da33ed1aa1c, 0x9849c77eb6af7035fb35b7472f237e, 0x005371], - ), - F::from_limbs( - [0xfee96131f8a2c92461b61f8c172710, 0x3925f9b4c85b4d19a6dc30bd3cf9de, 0x0034d0], - ), - F::from_limbs( - [0xbebaa1ce05b935db9e49df73e8d8f1, 0x6e2d2fe8b4ece620312bd8e49b0b74, 0x003f1d], - ), - F::from_limbs( - [0x141e3d346407c47189304e56429ad5, 0xb91199af6c50c47d1bfcf63d8da28f, 0x0056f5], - ), - F::from_limbs( - [0xa985c5cb9a543a8e76cfb0a9bd652c, 0xee418fee10f76ebcbc0b13644a62c4, 0x001cf7], - ), - F::from_limbs( - [0x8bc773e8f76ec48f6d8cad9a860cd0, 0x8ac912456e1d8865c216fafad6f949, 0x004228], - ), - F::from_limbs( - [0x31dc8f1706ed3a709273516579f331, 0x1c8a17580f2aaad415f10ea7010c0a, 0x0031c5], - ), - F::from_limbs( - [0x0738e3b14d3321adc2f5fb7a0f9779, 0xe3491835bf37c77b9884e9951f09f5, 0x001285], - ), - F::from_limbs( - [0xb66b1f4eb128dd523d0a0385f06888, 0xc40a1167be106bbe3f83200cb8fb5e, 0x006167], - ), - F::from_limbs( - [0xede3c44914fead6b72120c1df2a4b7, 0xe8be4df796d59f6c51b91a1bb80965, 0x0057f2], - ), - F::from_limbs( - [0xcfc03eb6e95d51948dedf2e20d5b4a, 0xbe94dba5e67293cd864eef861ffbed, 0x001bfa], - ), - F::from_limbs( - [0x02db433ead26c61eff4e410f51f541, 0xac8c4cf028e96b55b53b85b3aaaf65, 0x004f11], - ), - F::from_limbs( - [0xbac8bfc1513538e100b1bdf0ae0ac0, 0xfac6dcad545ec7e422cc83ee2d55ee, 0x0024db], - ), - F::from_limbs( - [0xcdd406650e46c8d98b75fb7861f2ca, 0x7cbfb59eea4ac9eaecdc39624a74d6, 0x00337d], - ), - F::from_limbs( - [0xefcffc9af0153626748a03879e0d37, 0x2a9373fe92fd694eeb2bd03f8d907c, 0x004070], - ), - F::from_limbs( - [0xa5bc30f24fec3acc3d6f4f809b0a53, 0x6ed642e8c59a514c846d5f0e44976d, 0x002013], - ), - F::from_limbs( - [0x17e7d20dae6fc433c290af7f64f5ae, 0x387ce6b4b7ade1ed539aaa93936de6, 0x0053da], - ), - F::from_limbs( - [0xdeb7a80902a9c5efdf3ccfe8e53a24, 0x1a50f8bb8a7d92a4ae617d426c9358, 0x0070ba], - ), - F::from_limbs( - [0xdeec5af6fbb2391020c32f171ac5dd, 0x8d0230e1f2caa09529a68c5f6b71fa, 0x000333], - ), - F::from_limbs( - [0x682f007f22bb81fdd7ada825dfd8e9, 0xba432991de5065a9a51a6b3c1aee25, 0x003c87], - ), - F::from_limbs( - [0x55750280dba07d02285256da202718, 0xed10000b9ef7cd9032ed9e65bd172e, 0x003765], - ), - F::from_limbs( - [0xdc15430c03b1e93f800f008fb12ae6, 0xab089b07419bb6f14d619c69d89866, 0x00665b], - ), - F::from_limbs( - [0xe18ebff3faaa15c07ff0fe704ed51b, 0xfc4a8e963bac7c488aa66d37ff6cec, 0x000d91], - ), - F::from_limbs( - [0x9e920fb609ba358d5ceacfe1dffb42, 0x817f573e38be9b763b9e8a078d875c, 0x004094], - ), - F::from_limbs( - [0x1f11f349f4a1c972a3152f1e2004bf, 0x25d3d25f448997c39c697f9a4a7df7, 0x003359], - ), - F::from_limbs( - [0x5f4c56d978347b10decd73542a05fd, 0x12ef8c4b82539a2ef0ffba88222629, 0x005c58], - ), - F::from_limbs( - [0x5e57ac26862783ef21328babd5fa04, 0x94639d51faf4990ae7084f19b5df2a, 0x001795], - ), - F::from_limbs( - [0x1a0584cc517b2805c42dc5891560a9, 0x9d33e7931ce4ecbc30602b356bce70, 0x0016b0], - ), - F::from_limbs( - [0xa39e7e33ace0d6fa3bd23976ea9f58, 0x0a1f420a6063467da7a7de6c6c36e3, 0x005d3d], - ), - F::from_limbs( - [0x628e600a788e04ab750b85650ebd1b, 0x45839982795b2e6635a42125b2c691, 0x004faf], - ), - F::from_limbs( - [0x5b15a2f585cdfa548af4799af142e6, 0x61cf901b03ed04d3a263e87c253ec2, 0x00243e], - ), - F::from_limbs( - [0x5fd0a3184059075334c20cef94dd35, 0x069a3f7275ed6f16b28321f60d75c3, 0x001a8e], - ), - F::from_limbs( - [0x5dd35fe7be02f7accb3df2106b22cc, 0xa0b8ea2b075ac4232584e7abca8f90, 0x00595f], - ), - F::from_limbs( - [0x5321e5ff1832016c9ec31e57800535, 0x6fde6d9f8cf58100484127999969e6, 0x0058d2], - ), - F::from_limbs( - [0x6a821d00e629fd93613ce0a87ffacc, 0x3774bbfdf052b2398fc6e2083e9b6d, 0x001b1b], - ), - F::from_limbs( - [0x24e42aa8d5aec08ce356eec0b581c3, 0x96482f24fb2a6806482acecf123181, 0x004ad6], - ), - F::from_limbs( - [0x98bfd85728ad3e731ca9103f4a7e3e, 0x110afa78821dcb338fdd3ad2c5d3d2, 0x002917], - ), - F::from_limbs( - [0x346f499430ac3e8834e343be816ade, 0x1c7a1e79b28af076c80674fbea502b, 0x003324], - ), - F::from_limbs( - [0x8934b96bcdafc077cb1cbb417e9523, 0x8ad90b23cabd42c3100194a5edb528, 0x0040c9], - ), - F::from_limbs( - [0x57918f034022d6713037f8b64415e9, 0x19fd78f51a8800de167d51cdd33239, 0x0000b2], - ), - F::from_limbs( - [0x661273fcbe39288ecfc80649bbea18, 0x8d55b0a862c0325bc18ab7d404d31a, 0x00733b], - ), - F::from_limbs( - [0xf59be099efbbbf1e9ee7f422718376, 0x28cf3247eb4450669afedabf51d50f, 0x006d6b], - ), - F::from_limbs( - [0xc80822660ea03fe161180add8e7c8b, 0x7e83f7559203e2d33d092ee2863043, 0x000682], - ), - F::from_limbs( - [0x717496b394e228bde1fcdaa1e27c0c, 0xc92134ed8fe810bde4e31b054a62bd, 0x001f39], - ), - F::from_limbs( - [0x4c2f6c4c6979d6421e03245e1d83f5, 0xde31f4afed60227bf324ee9c8da296, 0x0054b3], - ), - F::from_limbs( - [0x7d09d03af59770f1d0fcc7934e784a, 0xe258d964b59394e25115d08b5a107a, 0x005651], - ), - F::from_limbs( - [0x409a32c508c48e0e2f03376cb187b7, 0xc4fa5038c7b49e5786f239167df4d9, 0x001d9b], - ), - F::from_limbs( - [0xaaeb71ec0f716e68b025c69346bf09, 0x88ac099cc542dbc85d2e72f3dee770, 0x0004ca], - ), - F::from_limbs( - [0x12b89113eeea90974fda386cb940f8, 0x1ea72000b80557717ad996adf91de3, 0x006f23], - ), - F::from_limbs( - [0x3f0ed736ba61d95846912ad0cd72e8, 0xa976934ab9259ff3085d4c741c88b3, 0x00184a], - ), - F::from_limbs( - [0x7e952bc943fa25a7b96ed42f328d19, 0xfddc9652c4229346cfaabd2dbb7ca0, 0x005ba2], - ), - F::from_limbs( - [0x62b291c828ec3ebaf26067815711fc, 0xbb8260b46d2c51e40cbf75a7ee58fd, 0x0062e0], - ), - F::from_limbs( - [0x5af17137d56fc0450d9f977ea8ee05, 0xebd0c8e9101be155cb4893f9e9ac56, 0x00110c], - ), - F::from_limbs( - [0xf1944f8062e2362fd7908ad327998c, 0xfae10609ac308c560763e9b339ee02, 0x005d20], - ), - F::from_limbs( - [0xcc0fb37f9b79c8d0286f742cd86675, 0xac722393d117a6e3d0a41fee9e1750, 0x0016cc], - ), - F::from_limbs( - [0x238124a0db2fb18fbde3dcc5b9f194, 0x2223c6d14ff1cf5fcb7416a05e18ff, 0x002605], - ), - F::from_limbs( - [0x9a22de5f232c4d70421c223a460e6d, 0x852f62cc2d5663da0c93f30179ec54, 0x004de8], - ), - F::from_limbs( - [0x2f181b14aed10ff6e67eefaeab0cff, 0xa75b010005d75274ac3b3a23333006, 0x004d09], - ), - F::from_limbs( - [0x8e8be7eb4f8aef0919810f5154f302, 0xfff8289d7770e0c52bcccf7ea4d54d, 0x0026e3], - ), - F::from_limbs( - [0x84f64a6ba25a938975fe3c072f5f5c, 0xbd52dee2d5f7a21bae96e51a32d19d, 0x005087], - ), - F::from_limbs( - [0x38adb8945c016b768a01c2f8d0a0a5, 0xea004abaa750911e29712487a533b6, 0x002365], - ), - F::from_limbs( - [0x2ae0e11e73c3f16ca52fc81438540d, 0x08c778383129c0429531c4dd5df66d, 0x001ebd], - ), - F::from_limbs( - [0x92c321e18a980d935ad036ebc7abf4, 0x9e8bb1654c1e72f742d644c47a0ee6, 0x005530], - ), - F::from_limbs( - [0xe7fa646df251b192383683e59ecc6a, 0xc7fe5a5827024c14c0e444da9cff88, 0x000ef4], - ), - F::from_limbs( - [0xd5a99e920c0a4d6dc7c97b1a613397, 0xdf54cf455645e7251723c4c73b05ca, 0x0064f8], - ), - F::from_limbs( - [0xeef0bcd91847d841253cc2a928d6be, 0x37718307eb1a9579e0bf9778e20bdc, 0x005a0c], - ), - F::from_limbs( - [0xceb34626e61426bedac33c56d72943, 0x6fe1a695922d9dbff7487228f5f976, 0x0019e1], - ), - F::from_limbs( - [0xa701b8e3a721e0fefce536fb906424, 0x78afcd6fbd8fcad332db11efc5f13f, 0x00420e], - ), - F::from_limbs( - [0x16a24a1c573a1e01031ac8046f9bdd, 0x2ea35c2dbfb86866a52cf7b2121414, 0x0031df], - ), - F::from_limbs( - [0x2703973a98577b707f616b8ee5bc69, 0x35a38c635602c55fbb5a72a5dee0a8, 0x002220], - ), - F::from_limbs( - [0x96a06bc56604838f809e93711a4398, 0x71af9d3a27456dda1cad96fbf924ab, 0x0051cd], - ), - F::from_limbs( - [0xd426ce3bc379cebaa02908f78226c1, 0x3b64fc8a8d3697b57a95d72f49a7ec, 0x006531], - ), - F::from_limbs( - [0xe97d34c43ae230455fd6f6087dd940, 0x6bee2d12f0119b845d7232728e5d66, 0x000ebc], - ), - F::from_limbs( - [0x1aee8a70a157bc3db5dce28b3ecf15, 0xa940ed13adc86207c5cca3e248bbea, 0x0066a7], - ), - F::from_limbs( - [0xa2b5788f5d0442c24a231c74c130ec, 0xfe123c89cf7fd132123b65bf8f4969, 0x000d45], - ), - F::from_limbs( - [0x8d825a7d11480cdc99619927e24871, 0x40afc2350d54fc80dd3fde8f89eaed, 0x0012b8], - ), - F::from_limbs( - [0x3021a882ed13f223669e65d81db790, 0x66a367686ff336b8fac82b124e1a66, 0x006135], - ), - F::from_limbs( - [0x6d89d1cf521a52f9730ea6ccca6aa9, 0x874736ffd05944b37a5bdf5fc29b8e, 0x00017a], - ), - F::from_limbs( - [0x501a3130ac41ac068cf15833359558, 0x200bf29daceeee865dac2a421569c5, 0x007273], - ), - F::from_limbs( - [0x2ebb72dd507ad3e370ae5c9d88c367, 0xcad2981271db38af49782c25cc6a83, 0x002982], - ), - F::from_limbs( - [0x8ee89022ade12b1c8f51a262773c9a, 0xdc80918b0b6cfa8a8e8fdd7c0b9ad0, 0x004a6a], - ), - F::from_limbs( - [0x40bb9966258c7e444ef5bf9f9eaf5d, 0x50d0cd0a9c9ad02239843d3a7238d0, 0x00238a], - ), - F::from_limbs( - [0x7ce86999d8cf80bbb10a3f606150a4, 0x56825c92e0ad63179e83cc6765cc83, 0x005063], - ), - F::from_limbs( - [0xd860053850eb383390d76bb3f42bd6, 0x4a15cbfaab68c4280ae7caa60cf1aa, 0x003f5e], - ), - F::from_limbs( - [0xe543fdc7ad70c6cc6f28934c0bd42b, 0x5d3d5da2d1df6f11cd203efbcb13a8, 0x00348f], - ), - F::from_limbs( - [0xaef4419c79da6004e08d670c53a44e, 0xf7bd11fb6ad2133b0600858128f29b, 0x0069fc], - ), - F::from_limbs( - [0x0eafc16384819efb1f7297f3ac5bb3, 0xaf9617a212761ffed2078420af12b8, 0x0009f0], - ), - F::from_limbs( - [0x7f907f020a14b917b055c5dfbd2d5c, 0xe05ec31861f5674bdaf8e72b8709a1, 0x006927], - ), - F::from_limbs( - [0x3e1383fdf44745e84faa392042d2a5, 0xc6f466851b52cbedfd0f227650fbb2, 0x000ac5], - ), - F::from_limbs( - [0xebc1bad8e840c2ad13f6bbb95ec8ec, 0xcb2b258381423a47594a3ac9ba80ed, 0x000ba4], - ), - F::from_limbs( - [0xd1e24827161b3c52ec094346a13715, 0xdc280419fc05f8f27ebdced81d8465, 0x006848], - ), - F::from_limbs( - [0x2b07db533eecf717c095e63014ae72, 0x14ee8e4ee0069beb9bd9e5a49c9517, 0x002bbf], - ), - F::from_limbs( - [0x929c27acbf6f07e83f6a18cfeb518f, 0x92649b4e9d41974e3c2e23fd3b703c, 0x00482e], - ), - F::from_limbs( - [0xfce3f1ae16e1352f27668740f423f4, 0x53b32e18eb883962e4267ad3b836c2, 0x000776], - ), - F::from_limbs( - [0xc0c01151e77ac9d0d89977bf0bdc0d, 0x539ffb8491bff9d6f3e18ece1fce90, 0x006c77], - ), - F::from_limbs( - [0x0cb139b40f4c25efde2d1e3d91bdd7, 0x607ce8d23ffed09655e7bf9bbb56a0, 0x002fac], - ), - F::from_limbs( - [0xb0f2c94bef0fd91021d2e0c26e422a, 0x46d640cb3d4962a382204a061caeb3, 0x004441], - ), - F::from_limbs( - [0x9056c4e381145f218592573596e4e9, 0x1da7c6d8816a814bffbf8d20cef142, 0x000e09], - ), - F::from_limbs( - [0x2d4d3e1c7d479fde7a6da7ca691b18, 0x89ab62c4fbddb1edd8487c81091411, 0x0065e4], - ), - F::from_limbs( - [0x85d191ac75223523bb85f2da7f3e51, 0xb26339d05091e20e765bc6522c3d49, 0x0023fb], - ), - F::from_limbs( - [0x37d271538939c9dc447a0c2580c1b0, 0xf4efefcd2cb6512b61ac434fabc80a, 0x004ff1], - ), - F::from_limbs( - [0x42dd56d39e955417d408cfe1efe0da, 0x6dd7b2cf3c059a45ee2eabefd88d8d, 0x001286], - ), - F::from_limbs( - [0x7ac6ac2c5fc6aae82bf72f1e101f27, 0x397b76ce414298f3e9d95db1ff77c6, 0x006167], - ), - F::from_limbs( - [0x8ff68b2704622d8db3b98e4423fc50, 0x8734ba95974fe0a610e2a9cc4f55cf, 0x0021c7], - ), - F::from_limbs( - [0x2dad77d8f9f9d1724c4670bbdc03b1, 0x201e6f07e5f85293c7255fd588af84, 0x005226], - ), - F::from_limbs( - [0x8beba55b423887eb9775afe0580eb6, 0xc6493ca6f7bafdd94ab18c03456354, 0x00021f], - ), - F::from_limbs( - [0x31b85da4bc237714688a4f1fa7f14b, 0xe109ecf6858d35608d567d9e92a1ff, 0x0071cd], - ), - F::from_limbs( - [0xddf65cfc1c7f198f6e446f0ba80111, 0xfc3367b27efadae203a5d04d12b33b, 0x00547e], - ), - F::from_limbs( - [0xdfada603e1dce57091bb8ff457fef0, 0xab1fc1eafe4d5857d4623954c55217, 0x001f6e], - ), - F::from_limbs( - [0xb2111259c0e6827b9f2d0dfbe1fda0, 0xea46adb91f8909429055d788c6ef35, 0x0045e8], - ), - F::from_limbs( - [0x0b92f0a63d757c8460d2f1041e0261, 0xbd0c7be45dbf29f747b2321911161e, 0x002e04], - ), - F::from_limbs( - [0xd451939d2efc7530d247f9f1b06a9d, 0x723488ddb269aa2a0bb898bac279da, 0x002e0f], - ), - F::from_limbs( - [0xe9526f62cf5f89cf2db8050e4f9564, 0x351ea0bfcade890fcc4f70e7158b78, 0x0045de], - ), - F::from_limbs( - [0xcdfd800f910da40d61b57cc139d00a, 0x6f4e20fb2f20f36c5be4373da4ad3e, 0x002436], - ), - F::from_limbs( - [0xefa682f06d4e5af29e4a823ec62ff7, 0x380508a24e273fcd7c23d264335814, 0x004fb7], - ), - F::from_limbs( - [0xad59732db132de9f70a3a4625a28a2, 0x30d35a07976b6f22eeb847e6a4c2c5, 0x000455], - ), - F::from_limbs( - [0x104a8fd24d2920608f5c5a9da5d75f, 0x767fcf95e5dcc416e94fc1bb33428e, 0x006f98], - ), - F::from_limbs( - [0xa83f0d64199428796ae7ed987e3031, 0x66c481043d84ce7b5b9a58967a125a, 0x006e11], - ), - F::from_limbs( - [0x1564f59be4c7d6869518116781cfd0, 0x408ea8993fc364be7c6db10b5df2f9, 0x0005dc], - ), - F::from_limbs( - [0xfeec51f753cc687c69d6ae5df2c7e5, 0x01672a864c45dae541d1fd7ab0cf3b, 0x00252a], - ), - F::from_limbs( - [0xbeb7b108aa8f9683962950a20d381c, 0xa5ebff173102585496360c27273617, 0x004ec3], - ), - F::from_limbs( - [0x3737709114df79354b1b9355e6a54e, 0x4098bda9ad6a6469757c2498b0fd99, 0x006a78], - ), - F::from_limbs( - [0x866c926ee97c85cab4e46baa195ab3, 0x66ba6bf3cfddced0628be5092707ba, 0x000975], - ), - F::from_limbs( - [0x51ed8769fd01bf945fda78a7f367d9, 0x753bf1d2a62039f1517d74049b890e, 0x004fe3], - ), - F::from_limbs( - [0x6bb67b96015a3f6ba02586580c9828, 0x321737cad727f948868a959d3c7c45, 0x00240a], - ), - F::from_limbs( - [0x3fe7cabd0b23e5bf705eba460abe55, 0x3151de041923e02a79c24740b9cac2, 0x0008cf], - ), - F::from_limbs( - [0x7dbc3842f33819408fa144b9f541ac, 0x76014b996424530f5e45c2611e3a91, 0x006b1e], - ), - F::from_limbs( - [0x66c55dea845e4933d0b97dedcbec39, 0xbe534af38fff28cbbe5b58d6539c1a, 0x002362], - ), - F::from_limbs( - [0x56dea51579fdb5cc2f4681123413c8, 0xe8ffdea9ed490a6e19acb0cb846939, 0x00508a], - ), - F::from_limbs( - [0xe74ce466f28a996afd86c991620276, 0x6a14aab731397177349c6cb97b7c51, 0x005ffd], - ), - F::from_limbs( - [0xd6571e990bd165950279356e9dfd8b, 0x3d3e7ee64c0ec1c2a36b9ce85c8901, 0x0013f0], - ), - F::from_limbs( - [0xfc885d40f73760387ca37368ee6036, 0xfdacb64f6dcef359c6db5d8d487fc5, 0x003810], - ), - F::from_limbs( - [0xc11ba5bf07249ec7835c8b97119fcb, 0xa9a6734e0f793fe0112cac148f858d, 0x003bdc], - ), - F::from_limbs( - [0xe66d78cb626cc03ccda280ddf7c676, 0xaa5aa0b483b385f66bd08a1d249b53, 0x006a97], - ), - F::from_limbs( - [0xd7368a349bef3ec3325d7e2208398b, 0xfcf888e8f994ad436c377f84b369ff, 0x000955], - ), - F::from_limbs( - [0xe73f7a50c5aaeb5db85ae6ebfcb38d, 0xbca65083b25f7ee89ab1508940ca94, 0x001c15], - ), - F::from_limbs( - [0xd66488af38b113a247a51814034c74, 0xeaacd919cae8b4513d56b918973abe, 0x0057d7], - ), - F::from_limbs( - [0x3041d38fa295c8677f529da0db3616, 0x61b3e4c04bcf4cc051000148d5479a, 0x006b8b], - ), - F::from_limbs( - [0x8d622f705bc6369880ad615f24c9eb, 0x459f44dd3178e6798708085902bdb9, 0x000862], - ), - F::from_limbs( - [0x36ba5d59a1fdb3918b8ff2657cb799, 0x73141aa50ce8e0448856303668e326, 0x001a6f], - ), - F::from_limbs( - [0x86e9a5a65c5e4b6e74700c9a834868, 0x343f0ef8705f52f54fb1d96b6f222d, 0x00597e], - ), - F::from_limbs( - [0x6ccba57529ef3a2e69b325f8c2d10e, 0x4d647a8586116f35f254c16ac4e2e8, 0x000d42], - ), - F::from_limbs( - [0x50d85d8ad46cc4d1964cd9073d2ef3, 0x59eeaf17f736c403e5b3483713226b, 0x0066ab], - ), - F::from_limbs( - [0xd6a430a0bc13faa1c38e986fed60b7, 0xce5eedbb83c74a15db11a3b554b5d3, 0x006858], - ), - F::from_limbs( - [0xe6ffd25f4248045e3c716690129f4a, 0xd8f43be1f980e923fcf665ec834f7f, 0x000b94], - ), - F::from_limbs( - [0xbb69b1e997262c5f8b75eb59322015, 0xada1e5d0b6bf2aca0bb3f1eaef08eb, 0x0038e8], - ), - F::from_limbs( - [0x023a51166735d2a0748a13a6cddfec, 0xf9b143ccc689086fcc5417b6e8fc68, 0x003b04], - ), - F::from_limbs( - [0xb9c653a69df49edefa7c37d09c36a2, 0xadf904b0681b511569231f5f35c687, 0x0049b2], - ), - F::from_limbs( - [0x03ddaf59606760210583c72f63c95f, 0xf95a24ed152ce2246ee4ea42a23ecc, 0x002a3a], - ), - F::from_limbs( - [0x544e0eef300ebb6922152d741da680, 0xf4657f7341d681f7a80461466d15fc, 0x00633f], - ), - F::from_limbs( - [0x6955f410ce4d4396ddead18be25981, 0xb2edaa2a3b71b1423003a85b6aef57, 0x0010ad], - ), - F::from_limbs( - [0x3cb7a69485ca0129ceb6ef8030b2de, 0x6468a2d46ee05d32b857f28457a44c, 0x00702f], - ), - F::from_limbs( - [0x80ec5c6b7891fdd631490f7fcf4d23, 0x42ea86c90e67d6071fb0171d806107, 0x0003be], - ), - F::from_limbs( - [0x690adce0d4559ad0bab5f02b35aea3, 0x8d7a680f4f615969a24f8e2106f81a, 0x005dc7], - ), - F::from_limbs( - [0x5499261f2a06642f454a0ed4ca515e, 0x19d8c18e2de6d9d035b87b80d10d39, 0x001626], - ), - F::from_limbs( - [0xbf6566f761bbaaa58ea51a15cb2a93, 0xa436bbf70ebc9a481043f60ec7964f, 0x0042fa], - ), - F::from_limbs( - [0xfe3e9c089ca0545a715ae4ea34d56e, 0x031c6da66e8b98f1c7c41393106f03, 0x0030f3], - ), - F::from_limbs( - [0x3c61e635e16ea6e68378ad80a7bb00, 0x1824c50aa16fccd46c8c0a5d9be527, 0x004d3d], - ), - F::from_limbs( - [0x81421cca1ced58197c87517f584501, 0x8f2e6492dbd866656b7bff443c202c, 0x0026b0], - ), - F::from_limbs( - [0x32055cd6e43a26efe507326576562d, 0x3a3febc19c74e00c852874294fe1a0, 0x006623], - ), - F::from_limbs( - [0x8b9ea6291a21d8101af8cc9a89a9d4, 0x6d133ddbe0d3532d52df95788823b3, 0x000dca], - ), - F::from_limbs( - [0x920cdabfd84a8600c41c7ed4c36731, 0xe4e20eda21e3bc795bd8f25ded6ef3, 0x000937], - ), - F::from_limbs( - [0x2b972840261178ff3be3802b3c98d0, 0xc2711ac35b6476c07c2f1743ea9660, 0x006ab5], - ), - F::from_limbs( - [0xca1d8869e45cb67ef2f5436db89ce5, 0x428cd15fec9829f4d52d022a11c056, 0x003d18], - ), - F::from_limbs( - [0xf3867a9619ff48810d0abb9247631c, 0x64c6583d90b0094502db0777c644fc, 0x0036d5], - ), - F::from_limbs( - [0xc512d0ba6e3f20da7810f90a14ed63, 0xe965ba4aab15753bb87fe847a6e84a, 0x001400], - ), - F::from_limbs( - [0xf8913245901cde2587ef05f5eb129e, 0xbded6f52d232bdfe1f88215a311d08, 0x005fec], - ), - F::from_limbs( - [0xb385262d0e06a7bf046f046933915c, 0x2fcbe3d8e169f25d115b2909df5fae, 0x0070a5], - ), - F::from_limbs( - [0x0a1edcd2f0555740fb90fa96cc6ea5, 0x778745c49bde40dcc6ace097f8a5a5, 0x000348], - ), - F::from_limbs( - [0x8d607f4ee699ae051d64216ef65230, 0xb7a8f24647997c6daa193db1745c67, 0x003466], - ), - F::from_limbs( - [0x304383b117c250fae29bdd9109add1, 0xefaa375735aeb6cc2deecbf063a8ec, 0x003f86], - ), - F::from_limbs( - [0xd5f7ce03dd2713a624911665fba78b, 0x63171cfd358f14986d8c2b99885009, 0x002862], - ), - F::from_limbs( - [0xe7ac34fc2134eb59db6ee89a045876, 0x443c0ca047b91ea16a7bde084fb549, 0x004b8b], - ), - F::from_limbs( - [0xfe70a1a000bdeededa81868d68b00a, 0xd7c52f795ab5a3cbe846b833307b38, 0x0063a9], - ), - F::from_limbs( - [0xbf33615ffd9e1021257e7872974ff7, 0xcf8dfa2422928f6defc1516ea78a1a, 0x001043], - ), - F::from_limbs( - [0xe211b10f8f4244573cc1221781e0bc, 0xa9ee4fed8c9defe5bf47c589849963, 0x0002ca], - ), - F::from_limbs( - [0xdb9251f06f19baa8c33edce87e1f45, 0xfd64d9aff0aa435418c04418536bef, 0x007122], - ), - F::from_limbs( - [0x377cbd2bf36fcc3ec268ec688da522, 0x1c5a67a005fe6aef4b6396adfc608c, 0x004310], - ), - F::from_limbs( - [0x862745d40aec32c13d971297725adf, 0x8af8c1fd7749c84a8ca472f3dba4c7, 0x0030dd], - ), - F::from_limbs( - [0x258de8ab7c6bf6492d72265c8bb286, 0x12dd6a762ba5433ae5253027a86d6c, 0x001e57], - ), - F::from_limbs( - [0x98161a5481f008b6d28dd8a3744d7b, 0x9475bf2751a2effef2e2d97a2f97e7, 0x005596], - ), - F::from_limbs( - [0xfc6245c2276cfe52b9e2e3d8e363f5, 0x8f91391224f82d1509ea7380eb432e, 0x006724], - ), - F::from_limbs( - [0xc141bd3dd6ef00ad461d1b271c9c0c, 0x17c1f08b58500624ce1d9620ecc224, 0x000cc9], - ), - F::from_limbs( - [0xab98917739772b3fcea5a50aafcbdb, 0x2bbc74577df8687bcc2850f602ddf5, 0x002b9d], - ), - F::from_limbs( - [0x120b7188c4e4d3c0315a59f5503426, 0x7b96b545ff4fcabe0bdfb8abd5275e, 0x004850], - ), - F::from_limbs( - [0x59749fab0ea4f5cad4d5192ef12ff5, 0xf00a1aaafd469e2d6961368dca2476, 0x002787], - ), - F::from_limbs( - [0x642f6354efb709352b2ae5d10ed00c, 0xb7490ef28001950c6ea6d3140de0dd, 0x004c65], - ), - F::from_limbs( - [0xc74b9514983765d71e1882e1dd7f28, 0x927973e027868355da437798fef908, 0x00730c], - ), - F::from_limbs( - [0xf6586deb66249928e1e77c1e2280d9, 0x14d9b5bd55c1afe3fdc49208d90c4a, 0x0000e1], - ), - F::from_limbs( - [0xe18a0dbf32e81b22ac28512f733ac0, 0x88e2477fbf79aba7460fd9c360ec14, 0x006684], - ), - F::from_limbs( - [0xdc19f540cb73e3dd53d7add08cc541, 0x1e70e21dbdce879291f82fde77193e, 0x000d69], - ), - F::from_limbs( - [0x67f6c836862ed38368bc3ff9fe041d, 0x3f6664ca78be793846d6244234b80d, 0x005e13], - ), - F::from_limbs( - [0x55ad3ac9782d2b7c9743bf0601fbe4, 0x67ecc4d30489ba019131e55fa34d46, 0x0015da], - ), - F::from_limbs( - [0x95610ecb9899c53b6ead007648781c, 0xf6f4afb976d236fa3357bfa851e961, 0x0022da], - ), - F::from_limbs( - [0x2842f43465c239c49152fe89b787e5, 0xb05e79e40675fc3fa4b049f9861bf2, 0x005112], - ), - F::from_limbs( - [0xaa1b5e34bb77878b236035fa24c486, 0x954412900ed54088745ec1f2c16631, 0x0050d0], - ), - F::from_limbs( - [0x1388a4cb42e47774dc9fc905db3b7b, 0x120f170d6e72f2b163a947af169f22, 0x00231d], - ), - F::from_limbs( - [0x8a241be93dc8974e02b11bd3a217c2, 0x84a58f018d4c9b113b0587c1e3580c, 0x005870], - ), - F::from_limbs( - [0x337fe716c09367b1fd4ee32c5de83f, 0x22ad9a9beffb98289d0281dff4ad47, 0x001b7d], - ), - F::from_limbs( - [0x8dba7176a3140438e61a2bdb947cfb, 0x7d36756abfa6e6de4760c9223ca35d, 0x006d9b], - ), - F::from_limbs( - [0x2fe991895b47fac719e5d3246b8306, 0x2a1cb432bda14c5b90a7407f9b61f6, 0x000652], - ), - F::from_limbs( - [0x7a93ae34c98803cc138ce5decb272f, 0x9d92ac58ff78ea09ac3f1bdf706976, 0x002877], - ), - F::from_limbs( - [0x431054cb34d3fb33ec73192134d8d2, 0x09c07d447dcf49302bc8edc2679bdd, 0x004b76], - ), - F::from_limbs( - [0xf0341a13b3565ad286345e7ac747d6, 0x7c023d791f0bdc6832ada0a4abdbb2, 0x001473], - ), - F::from_limbs( - [0xcd6fe8ec4b05a42d79cba08538b82b, 0x2b50ec245e3c56d1a55a68fd2c29a0, 0x005f7a], - ), - F::from_limbs( - [0x4c4fa5f5263d07bfb59bd6f3e3410f, 0x1ddc11c537cbfe3ed86585643677f4, 0x00641b], - ), - F::from_limbs( - [0x71545d0ad81ef7404a64280c1cbef2, 0x897717d8457c34faffa2843da18d5f, 0x000fd2], - ), - F::from_limbs( - [0x2144b16886b434df3737d784288d49, 0x98ef059d3185cc257d69e121cd84b3, 0x006755], - ), - F::from_limbs( - [0x9c5f519777a7ca20c8c8277bd772b8, 0x0e6424004bc267145a9e28800a80a0, 0x000c98], - ), - F::from_limbs( - [0xdad8f147195417f8e3b085a77afbf2, 0xd402f8d47177c758c7a4112d4a8bea, 0x003aff], - ), - F::from_limbs( - [0xe2cb11b8e507e7071c4f795885040f, 0xd35030c90bd06be11063f8748d7968, 0x0038ed], - ), - F::from_limbs( - [0x13b822085973279feb3060dee77336, 0xec04bf19f89eb75b9bf5262d598072, 0x002dd3], - ), - F::from_limbs( - [0xa9ebe0f7a4e8d76014cf9e21188ccb, 0xbb4e6a8384a97bde3c12e3747e84e1, 0x004619], - ), - F::from_limbs( - [0xce316d93c6b00bb50855547902c03e, 0x97ca4d2c7b6a0c1945109c1f1e9c3a, 0x006ce3], - ), - F::from_limbs( - [0xef72956c37abf34af7aaaa86fd3fc3, 0x0f88dc7101de272092f76d82b96918, 0x00070a], - ), - F::from_limbs( - [0x694267eeda9311b9bc81d1e5f516e1, 0x5846cd4336b188de7c8b11604d8ff0, 0x006fb0], - ), - F::from_limbs( - [0x54619b1123c8ed46437e2d1a0ae920, 0x4f0c5c5a4696aa5b5b7cf8418a7563, 0x00043d], - ), - F::from_limbs( - [0x24f213c919d43d562e491138e601de, 0xe28f29fa7cfa57c3839a0140d9f2bb, 0x0007dd], - ), - F::from_limbs( - [0x98b1ef36e487c1a9d1b6edc719fe23, 0xc4c3ffa3004ddb76546e0860fe1298, 0x006c0f], - ), - F::from_limbs( - [0x6b7e5ff4d425ec22ae86624a026d8f, 0xf1287fe086b18251211dc7db069146, 0x00583a], - ), - F::from_limbs( - [0x5225a30b2a3612dd51799cb5fd9272, 0xb62aa9bcf696b0e8b6ea41c6d1740d, 0x001bb2], - ), - F::from_limbs( - [0x80b253331456f274067e67d28a7bf9, 0xe5fb6401d35e8b476c3d92001ca186, 0x000d83], - ), - F::from_limbs( - [0x3cf1afccea050c8bf981972d758408, 0xc157c59ba9e9a7f26bca77a1bb63cd, 0x006669], - ), - F::from_limbs( - [0xd98dbcb16d6b2bc8c4f400030cd5c1, 0x16f7a347bb978b3074eb9fb6094903, 0x0047b1], - ), - F::from_limbs( - [0xe416464e90f0d3373b0bfefcf32a40, 0x905b8655c1b0a809631c69ebcebc4f, 0x002c3c], - ), - F::from_limbs( - [0xb330e761da3be1436d1d98942671d5, 0xa5e3e36a9bf331e93cc37de09f5274, 0x006d89], - ), - F::from_limbs( - [0x0a731b9e24201dbc92e2666bd98e2c, 0x016f4632e15501509b448bc138b2df, 0x000664], - ), - F::from_limbs( - [0x3fb3867287d861038cb90b5f9e2564, 0x2156aa8bb80679fa31d23cd3c210ae, 0x0014ef], - ), - F::from_limbs( - [0x7df07c8d76839dfc7346f3a061da9d, 0x85fc7f11c541b93fa635ccce15f4a5, 0x005efe], - ), - F::from_limbs( - [0x32317a2cdbea65c58c12f0eb455e6b, 0x4698b9e42244abdd2198bdf7fde562, 0x00244b], - ), - F::from_limbs( - [0x8b7288d32271993a73ed0e14baa196, 0x60ba6fb95b03875cb66f4ba9da1ff1, 0x004fa2], - ), - F::from_limbs( - [0x8ed195331b98672808faa3ccaafe7d, 0xa34e6b5142c7e48095cf2e1b9d09fa, 0x00138f], - ), - F::from_limbs( - [0x2ed26dcce2c397d7f7055b33550184, 0x0404be4c3a804eb94238db863afb59, 0x00605e], - ), - F::from_limbs( - [0x6ce50ce8631ddc37c974247e893e37, 0xbafc2e8182867d9f8711636eb28e84, 0x004348], - ), - F::from_limbs( - [0x50bef6179b3e22c8368bda8176c1ca, 0xec56fb1bfac1b59a50f6a6332576cf, 0x0030a4], - ), - F::from_limbs( - [0xdb3d1d363620c7059279cc46720e88, 0x4bc4b85d0584dfd6b5fa91067e76e4, 0x000d5b], - ), - F::from_limbs( - [0xe266e5c9c83b37fa6d8632b98df179, 0x5b8e714077c35363220d789b598e6e, 0x006692], - ), - F::from_limbs( - [0x6ad7cae3c87627c98f6b3a48df5a28, 0xd4863b46a956c8dcee098ed888b038, 0x0029fb], - ), - F::from_limbs( - [0x52cc381c35e5d7367094c4b720a5d9, 0xd2ccee56d3f16a5ce9fe7ac94f551b, 0x0049f1], - ), - F::from_limbs( - [0xc9b512172293bb81396ff313d3bb80, 0x1736abd6d04b4739c52b4fabaab4dd, 0x005da9], - ), - F::from_limbs( - [0xf3eef0e8dbc8437ec6900bec2c4481, 0x901c7dc6acfcec0012dcb9f62d5075, 0x001644], - ), - F::from_limbs( - [0x977a45ccd1f4913ff0793ba434977c, 0x8bcb0af58a52192a995975d7064454, 0x003af5], - ), - F::from_limbs( - [0x2629bd332c676dc00f86c35bcb6885, 0x1b881ea7f2f61a0f3eae93cad1c0ff, 0x0038f8], - ), - F::from_limbs( - [0xef2fb42e82a91c3aaf009278b4b454, 0xef630dea07dd87c170f9a2a01856a4, 0x00038b], - ), - F::from_limbs( - [0xce744ed17bb2e2c550ff6c874b4bad, 0xb7f01bb3756aab78670e6701bfaeae, 0x007061], - ), - F::from_limbs( - [0xc8e73f1fb0956aac66e8dafc81fe1e, 0x059efabd9ae1387d443ddded77add3, 0x00321c], - ), - F::from_limbs( - [0xf4bcc3e04dc69453991724037e01e3, 0xa1b42edfe266fabc93ca2bb460577f, 0x0041d1], - ), - F::from_limbs( - [0x3933c1beda8052e1a0aa54ab584031, 0xe11c874ac1ff523154d2355e4e4176, 0x000605], - ), - F::from_limbs( - [0x8470414123dbac1e5f55aa54a7bfd0, 0xc636a252bb48e1088335d44389c3dd, 0x006de7], - ), - F::from_limbs( - [0x434bad0898bac4640aa66581465d9a, 0xaf57ad62903dde30dfbc088a2d14cc, 0x002840], - ), - F::from_limbs( - [0x7a5855f765a13a9bf559997eb9a267, 0xf7fb7c3aed0a5508f84c0117aaf087, 0x004bac], - ), - F::from_limbs( - [0xa295c7dfe550262e424716d6fbaa2d, 0xd989cae69b749be1ba8e713c6bf63c, 0x000224], - ), - F::from_limbs( - [0x1b0e3b20190bd8d1bdb8e8290455d4, 0xcdc95eb6e1d397581d7998656c0f17, 0x0071c8], - ), - F::from_limbs( - [0x027b481a99f8d7f13eed8a7afc59cc, 0x1cc9790e8f2c1db924e35b38caf6b5, 0x00086c], - ), - F::from_limbs( - [0xbb28bae56463270ec112748503a635, 0x8a89b08eee1c1580b324ae690d0e9e, 0x006b81], - ), - F::from_limbs( - [0x2f35aea290ac55b604c24be38ed2f2, 0xaa61fc26cd5f4c7a8318ba28706e7c, 0x004bf1], - ), - F::from_limbs( - [0x8e6e545d6dafa949fb3db31c712d0f, 0xfcf12d76afe8e6bf54ef4f796796d7, 0x0027fb], - ), - F::from_limbs( - [0x44c8d9317399ddb4c3351d1f85a494, 0x5c08fdb7b5f58ca2789772dc1ee600, 0x00527c], - ), - F::from_limbs( - [0x78db29ce8ac2214b3ccae1e07a5b6d, 0x4b4a2be5c752a6975f7096c5b91f53, 0x002171], - ), - F::from_limbs( - [0xacd8c18fd788b79108eb0359f985a8, 0xa5fb219c39b3597fd7cdb7cb9ec359, 0x0020c5], - ), - F::from_limbs( - [0x10cb417026d3476ef714fba6067a59, 0x015808014394d9ba003a51d63941fa, 0x005328], - ), - F::from_limbs( - [0x336e8b0eaa01fdee91311271ee45a3, 0x6b1c12f87566ddd0bf944a8e6d750a, 0x003ee3], - ), - F::from_limbs( - [0x8a3577f1545a01116eceec8e11ba5e, 0x3c3716a507e155691873bf136a9049, 0x00350a], - ), - F::from_limbs( - [0x0e3a4a2c1307877112e3fc3d4ace71, 0x75e2c927a7c9d2046ce027a513df74, 0x001ada], - ), - F::from_limbs( - [0xaf69b8d3eb54778eed1c02c2b53190, 0x31706075d57e61356b27e1fcc425df, 0x005913], - ), - F::from_limbs( - [0x531d011069710c1aadbdf0d9becb26, 0xfe392258bd3c57b360a745e7386083, 0x005264], - ), - F::from_limbs( - [0x6a8701ef94eaf2e552420e264134db, 0xa91a0744c00bdb867760c3ba9fa4d0, 0x002188], - ), - F::from_limbs( - [0xe9187454698944ac775919154154c1, 0x8c85aab132d3f04ce0af0a60f99468, 0x001dba], - ), - F::from_limbs( - [0xd48b8eab94d2ba5388a6e5eabeab40, 0x1acd7eec4a7442ecf758ff40de70ea, 0x005633], - ), - F::from_limbs( - [0x6c1604b24820a3770340790d55dc4c, 0x70485191eb56fc775110f342bec6f3, 0x003e60], - ), - F::from_limbs( - [0x518dfe4db63b5b88fcbf85f2aa23b5, 0x370ad80b91f136c286f7165f193e60, 0x00358d], - ), - F::from_limbs( - [0xeafb428e38a30928c22245d72bb2a3, 0xce32f7e962fa2b3e31afd97e204be3, 0x004902], - ), - F::from_limbs( - [0xd2a8c071c5b8f5d73dddb928d44d5e, 0xd92031b41a4e07fba6583023b7b96f, 0x002aea], - ), - F::from_limbs( - [0x3a451584a96e0ef35f980490fcc053, 0xd4e5faca74e951f07361d72a49f4b1, 0x00173b], - ), - F::from_limbs( - [0x835eed7b54edf00ca067fa6f033fae, 0xd26d2ed3085ee14964a632778e10a2, 0x005cb1], - ), - F::from_limbs( - [0x2e15a71ff3bb6b1793eb9057fda39b, 0x6d1eafc21e45b97be27adfc8bad8f1, 0x00170c], - ), - F::from_limbs( - [0x8f8e5be00aa093e86c146ea8025c66, 0x3a3479db5f0279bdf58d29d91d2c62, 0x005ce1], - ), - F::from_limbs( - [0x91a01cb11e1d388fbbb51771aacdbc, 0x5543e381889b38beaaccd6ea72786b, 0x003dcd], - ), - F::from_limbs( - [0x2c03e64ee03ec670444ae78e553245, 0x520f461bf4acfa7b2d3b32b7658ce8, 0x003620], - ), - F::from_limbs( - [0x1b2c2bf57e2ffa8bff0d76e779efd8, 0x136e7973448a6e8452d09af6d4fe0b, 0x002579], - ), - F::from_limbs( - [0xa277d70a802c047400f28818861029, 0x93e4b02a38bdc4b585376eab030748, 0x004e74], - ), - F::from_limbs( - [0x965114af80d5f237b8489e744cdb6a, 0x34a8111b5e6c4c02091f65cedfc07a, 0x000798], - ), - F::from_limbs( - [0x2752ee507d860cc847b7608bb32497, 0x72ab18821edbe737cee8a3d2f844d9, 0x006c55], - ), - F::from_limbs( - [0xe7ccd1f49218bcde0a39b54757baf4, 0x55b1570da586ba40c31e363e1506aa, 0x006c6a], - ), - F::from_limbs( - [0xd5d7310b6c434221f5c649b8a8450d, 0x51a1d28fd7c178f914e9d363c2fea8, 0x000783], - ), - F::from_limbs( - [0xd75a4c1d0a47bc8a57f67a92771886, 0xf7e713a14f663701ec08b9515cc1d4, 0x00504d], - ), - F::from_limbs( - [0xe649b6e2f4144275a809846d88e77b, 0xaf6c15fc2de1fc37ebff50507b437e, 0x00239f], - ), - F::from_limbs( - [0x4a6f5157ee66feed092f02034b4427, 0x089313ebbb63ab112c6e47f651c56b, 0x004f80], - ), - F::from_limbs( - [0x7334b1a80ff50012f6d0fcfcb4bbda, 0x9ec015b1c1e48828ab99c1ab863fe8, 0x00246d], - ), - F::from_limbs( - [0x960a2dbf6b89282bb928b6c2bc3afc, 0x9de0cb3644273fde5012c262290cdd, 0x000f2b], - ), - F::from_limbs( - [0x2799d54092d2d6d446d7483d43c505, 0x09725e673920f35b87f5473faef876, 0x0064c2], - ), - F::from_limbs( - [0xd8f900e407b7f428bce7e30c66a081, 0xa99e4a437b505d95dfd1630242422e, 0x005a1e], - ), - F::from_limbs( - [0xe4ab021bf6a40ad743181bf3995f80, 0xfdb4df5a01f7d5a3f836a69f95c324, 0x0019ce], - ), - F::from_limbs( - [0x7d648cf9f44e1804ceeaa511f4fae9, 0x69d70232147b3a090bcaa59c776b2b, 0x0041e4], - ), - F::from_limbs( - [0x403f76060a0de6fb311559ee0b0518, 0x3d7c276b68ccf930cc3d6405609a28, 0x003209], - ), - F::from_limbs( - [0x25da2e047033fefbbcff900fcc827f, 0x02ebc6464d846f98cb09f9865d83d0, 0x004d59], - ), - F::from_limbs( - [0x97c9d4fb8e28000443006ef0337d82, 0xa46763572fc3c3a10cfe101b7a8183, 0x002694], - ), - F::from_limbs( - [0xee0ffdf718781e60b137ab482066e4, 0xbc8d78d3c3cc9173a7c9c3c994b807, 0x001459], - ), - F::from_limbs( - [0xcf940508e5e3e09f4ec853b7df991d, 0xeac5b0c9b97ba1c6303e45d8434d4b, 0x005f93], - ), - F::from_limbs( - [0x525bc3d1cd03ba13854305ef54b104, 0x6d82f16d68853bf7bb74b643ac07c9, 0x000956], - ), - F::from_limbs( - [0x6b483f2e315844ec7abcf910ab4efd, 0x39d0383014c2f7421c93535e2bfd8a, 0x006a97], - ), - F::from_limbs( - [0x5e2f10a51b5409e93521dc76f14b89, 0x6a17ed37cedbd2dff79cd54a6ea067, 0x000beb], - ), - F::from_limbs( - [0x5f74f25ae307f516cade22890eb478, 0x3d3b3c65ae6c6059e06b34576964ec, 0x006802], - ), - F::from_limbs( - [0x55735e16b82bb0a2073fb0e02a7667, 0x7f1df880e7c227e024663dc027bae4, 0x006a70], - ), - F::from_limbs( - [0x6830a4e946304e5df8c04e1fd5899a, 0x2835311c95860b59b3a1cbe1b04a6f, 0x00097d], - ), - F::from_limbs( - [0x3c367ca1d1ffe6e2ae57afb246966b, 0xe0e87f964513f8ddba3c5316c7ec75, 0x0013e7], - ), - F::from_limbs( - [0x816d865e2c5c181d51a84f4db96996, 0xc66aaa0738343a5c1dcbb68b1018de, 0x006005], - ), - F::from_limbs( - [0xb3e11681c510a6dd5a6a3e91095dc7, 0x32d749c30d1dc4895811317d780782, 0x004019], - ), - F::from_limbs( - [0x09c2ec7e394b5822a595c06ef6a23a, 0x747bdfda702a6eb07ff6d8245ffdd1, 0x0033d4], - ), - F::from_limbs( - [0xbd453fb132b4682cdfe9db0ff4374b, 0x9c9a35f12409aee55906ba0e6f2ed2, 0x003225], - ), - F::from_limbs( - [0x005ec34ecba796d3201623f00bc8b6, 0x0ab8f3ac593e84547f014f9368d681, 0x0041c8], - ), - F::from_limbs( - [0xc6f53956b47ef98c1e4633a1e79a90, 0xf8a65c0009dce5d7361d5906eb273a, 0x002444], - ), - F::from_limbs( - [0xf6aec9a949dd0573e1b9cb5e186571, 0xaeaccd9d736b4d62a1eab09aecde18, 0x004fa8], - ), - F::from_limbs( - [0x73a69a942f840ad1d45960e9d626dc, 0xfe77b2223aa587ca2ddd92f73d486e, 0x001875], - ), - F::from_limbs( - [0x49fd686bced7f42e2ba69e1629d925, 0xa8db777b42a2ab6faa2a76aa9abce5, 0x005b77], - ), - F::from_limbs( - [0x880501279a899bcee868ce8587a13b, 0x8f1b04bfd10c7250976724baad776d, 0x0018f1], - ), - F::from_limbs( - [0x359f01d863d263311797307a785ec6, 0x183824ddac3bc0e940a0e4e72a8de6, 0x005afc], - ), - F::from_limbs( - [0xb3d3b950311f02a824f0ba9a8f2963, 0x7cb97acb4245d1566d60c3a6ba5720, 0x0036d4], - ), - F::from_limbs( - [0x09d049afcd3cfc57db0f446570d69e, 0x2a99aed23b0261e36aa745fb1dae33, 0x003d19], - ), - F::from_limbs( - [0x8992a0b4aebe62c3176cafbba6ece2, 0x3e3e42733334ed43caff7cac4fa484, 0x005665], - ), - F::from_limbs( - [0x3411624b4f9d9c3ce8934f4459131f, 0x6914e72a4a1345f60d088cf58860cf, 0x001d88], - ), - F::from_limbs( - [0x3e333e731c6d86ea2f0310654c1c69, 0x45e320a61c7930dd4640b8259046fa, 0x0072e0], - ), - F::from_limbs( - [0x7f70c48ce1ee7815d0fcee9ab3e398, 0x617008f760cf025c91c7517c47be59, 0x00010d], - ), - F::from_limbs( - [0xb4fac3c927f6e90d16741ca2ea19f3, 0x2ea688ce95690fb3e7765ded195901, 0x005fc4], - ), - F::from_limbs( - [0x08a93f36d66515f2e98be25d15e60e, 0x78aca0cee7df2385f091abb4beac52, 0x001429], - ), - F::from_limbs( - [0x38250aebdfea19439e2c0f3fec014c, 0x0c68a0cd2567ed61c7c501f9cc757c, 0x005f62], - ), - F::from_limbs( - [0x857ef8141e71e5bc61d3efc013feb5, 0x9aea88d057e045d8104307a80b8fd7, 0x00148b], - ), - F::from_limbs( - [0x315044d26ab11b7f5d7bffe0b305c8, 0x73d2528c3d883247ea42471dd1c0ed, 0x006381], - ), - F::from_limbs( - [0x8c53be2d93aae380a283ff1f4cfa39, 0x3380d7113fc000f1edc5c284064466, 0x00106c], - ), - F::from_limbs( - [0x80ec4b796d3c1fa24716c0654b3fca, 0x7624f7423ea31f36512a3c42e181bd, 0x006902], - ), - F::from_limbs( - [0x3cb7b786911fdf5db8e93e9ab4c037, 0x312e325b3ea5140386ddcd5ef68396, 0x000aeb], - ), - F::from_limbs( - [0xd55c9043bd712ec2374a085a04cf77, 0x4dce95290db96dbc6e981c87cc0d39, 0x0039dd], - ), - F::from_limbs( - [0xe84772bc40ead03dc8b5f6a5fb308a, 0x598494746f8ec57d696fed1a0bf819, 0x003a10], - ), - F::from_limbs( - [0xbf7472dae4da3860bf9e6bf6e31812, 0xb2cbafa33fb884780e7c68542c3f12, 0x006bd1], - ), - F::from_limbs( - [0xfe2f90251981c69f406193091ce7ef, 0xf48779fa3d8faec1c98ba14dabc640, 0x00081b], - ), - F::from_limbs( - [0xdd1b58249906be9ff079ce58af3199, 0xcedb6916a28c6ca682e24066db3c86, 0x001c77], - ), - F::from_limbs( - [0xe088aadb655540600f8630a750ce68, 0xd877c086dabbc6935525c93afcc8cc, 0x005775], - ), - F::from_limbs( - [0xb2c473d5eff1b216b4e9b27e7dd10b, 0x04f3b5c0b97878d28972a2a650511c, 0x0052f6], - ), - F::from_limbs( - [0x0adf8f2a0e6a4ce94b164c81822ef6, 0xa25f73dcc3cfba674e9566fb87b437, 0x0020f7], - ), - F::from_limbs( - [0x8ad7d4ab3b17b51f1f8779e781781b, 0x9112fa9f6cf5817199711eebb68441, 0x00416b], - ), - F::from_limbs( - [0x32cc2e54c34449e0e07885187e87e6, 0x16402efe1052b1c83e96eab6218112, 0x003282], - ), - F::from_limbs( - [0x388900a081efcebb6ed1c6d5c49f1c, 0xb4fd14ec51aeca9da4521c768d51ec, 0x001d1d], - ), - F::from_limbs( - [0x851b025f7c6c3044912e382a3b60e5, 0xf25614b12b99689c33b5ed2b4ab367, 0x0056cf], - ), - F::from_limbs( - [0x7bc9af0716769144464acf1f36c0d2, 0xf594e8c1b0eaeb8fc60143a855ad12, 0x006cdf], - ), - F::from_limbs( - [0x41da53f8e7e56dbbb9b52fe0c93f2f, 0xb1be40dbcc5d47aa1206c5f9825841, 0x00070d], - ), - F::from_limbs( - [0x9c31869ce1406981ccf144abd15da6, 0x3ce0bc31b687d449f891cf11c7f71e, 0x0032a7], - ), - F::from_limbs( - [0x21727c631d1b957e330eba542ea25b, 0x6a726d6bc6c05eefdf763a90100e35, 0x004146], - ), - F::from_limbs( - [0x3287e1eea50550f6cff67feb0214a3, 0x2edb568a00aaae9ef31c7368529f7b, 0x001469], - ), - F::from_limbs( - [0x8b1c21115956ae0930097f14fdeb5e, 0x7877d3137c9d849ae4eb96398565d8, 0x005f84], - ), - F::from_limbs( - [0x1765e37219c59a01744eaf22f61cd5, 0xa5ee072d800a1ddf4a71f83fdd1ad2, 0x005ac1], - ), - F::from_limbs( - [0xa63e1f8de49664fe8bb14fdd09e32c, 0x0165226ffd3e155a8d961161faea81, 0x00192c], - ), - F::from_limbs( - [0x9cafd3f14593be08db6cfdab4f5cbc, 0x28b7d9ee0088d8fd5273b9e4c23a8a, 0x0057b4], - ), - F::from_limbs( - [0x20f42f0eb8c840f724930154b0a345, 0x7e9b4faf7cbf5a3c85944fbd15cac9, 0x001c39], - ), - F::from_limbs( - [0x1d9eb5efde33ed0116fc035b9ef1e4, 0xbde86d834a067c0302160fb86d4f84, 0x00151e], - ), - F::from_limbs( - [0xa0054d10202811fee903fba4610e1d, 0xe96abc1a3341b736d5f1f9e96ab5cf, 0x005ece], - ), - F::from_limbs( - [0x6855f02b9c14d37b254b4c16aecf49, 0xebabeb3d7ef48c4988b6f7e98663fa, 0x0034ca], - ), - F::from_limbs( - [0x554e12d462472b84dab4b2e95130b8, 0xbba73e5ffe53a6f04f5111b851a159, 0x003f22], - ), - F::from_limbs( - [0x018d3725a347a231aef389d1650159, 0xe15e3ad0ea849dd9032a8990ebcab4, 0x00055b], - ), - F::from_limbs( - [0xbc16cbda5b145cce510c752e9afea8, 0xc5f4eecc92c39560d4dd8010ec3a9f, 0x006e91], - ), - F::from_limbs( - [0x291cf291adb45adf4f59597e92099f, 0x5f789f1b1294ee932d062fe4dad38d, 0x0016a6], - ), - F::from_limbs( - [0x9487106e50a7a420b0a6a5816df662, 0x47da8a826ab344a6ab01d9bcfd31c6, 0x005d47], - ), - F::from_limbs( - [0x6c7c3031e114547e10569404305b4e, 0x0bfd1bdf8a97e9ebe9b3a7f47018b5, 0x005d66], - ), - F::from_limbs( - [0x5127d2ce1d47aa81efa96afbcfa4b3, 0x9b560dbdf2b0494dee5461ad67ec9e, 0x001687], - ), - F::from_limbs( - [0xd91b48dadb210c247b1a81979f35c0, 0x6ac519183e52453eabbc8a1e13a637, 0x0065d5], - ), - F::from_limbs( - [0xe488ba25233af2db84e57d6860ca41, 0x3c8e10853ef5edfb2c4b7f83c45f1b, 0x000e18], - ), - F::from_limbs( - [0xf9c0f86360276418f827bbe6225400, 0xde0c2c3ab91f997809bf4d6d1952fa, 0x0026db], - ), - F::from_limbs( - [0xc3e30a9c9e349ae707d84319ddac01, 0xc946fd62c42899c1ce48bc34beb258, 0x004d11], - ), - F::from_limbs( - [0x80d9b39a09327511be38f00fe0e15b, 0x0ed0b718d075007221b4e63392be47, 0x006b81], - ), - F::from_limbs( - [0x3cca4f65f52989ee41c70ef01f1ea6, 0x98827284acd332c7b653236e45470c, 0x00086c], - ), - F::from_limbs( - [0x37d5f8a16c4f0f051e1aa4af01a637, 0x04ef549725e3a992bf6d27f26ad9a0, 0x006706], - ), - F::from_limbs( - [0x85ce0a5e920ceffae1e55a50fe59ca, 0xa263d506576489a7189ae1af6d2bb3, 0x000ce7], - ), - F::from_limbs( - [0xd3148a4e36e3f07250f3cf33f08243, 0x11b3253731a2f1970b62d2eeb13eaf, 0x001c8e], - ), - F::from_limbs( - [0xea8f78b1c7780e8daf0c2fcc0f7dbe, 0x95a004664ba541a2cca536b326c6a3, 0x00575f], - ), - F::from_limbs( - [0xd921850e3e933c628e568582ec954a, 0x63d8ead24230b1313472e590e57dc9, 0x0010ec], - ), - F::from_limbs( - [0xe4827df1bfc8c29d71a9797d136ab7, 0x437a3ecb3b178208a3952410f28789, 0x006301], - ), - F::from_limbs( - [0xca58916c4689cf7045743933f004c4, 0x0c8b650b839487fbfdffef881252a8, 0x0025e5], - ), - F::from_limbs( - [0xf34b7193b7d22f8fba8bc5cc0ffb3d, 0x9ac7c491f9b3ab3dda081a19c5b2aa, 0x004e08], - ), - F::from_limbs( - [0x98a02aabd7ff53948a74e7d72a06cd, 0x3cd150debfd777dd0e7b4cd77e3590, 0x006129], - ), - F::from_limbs( - [0x2503d854265cab6b758b1728d5f934, 0x6a81d8bebd70bb5cc98cbcca59cfc3, 0x0012c4], - ), - F::from_limbs( - [0x8d3c5d8e2ae3c2772ae3260559361e, 0x29d913bae95cd300eb8ed538a67baf, 0x006233], - ), - F::from_limbs( - [0x3067a571d3783c88d51cd8faa6c9e3, 0x7d7a15e293eb6038ec7934693189a4, 0x0011ba], - ), - F::from_limbs( - [0x7cb9e132d2958e4a821d18d001905b, 0x4d1e9a0e31c08c8b929e83caa601f1, 0x0042c1], - ), - F::from_limbs( - [0x40ea21cd2bc670b57de2e62ffe6fa6, 0x5a348f8f4b87a6ae456985d7320362, 0x00312c], - ), - F::from_limbs( - [0xb6a6109f87dc09a945ddfd3194d6d4, 0x6a5b221a98193db17c13a115ad244a, 0x006b90], - ), - F::from_limbs( - [0x06fdf260767ff556ba2201ce6b292d, 0x3cf80782e52ef5885bf4688c2ae109, 0x00085d], - ), - F::from_limbs( - [0xb409a53b4e735b3e20998093f034d1, 0x4132904aebad93d405cac07f33f025, 0x002dcc], - ), - F::from_limbs( - [0x099a5dc4afe8a3c1df667e6c0fcb30, 0x66209952919a9f65d23d4922a4152e, 0x004621], - ), - F::from_limbs( - [0x347967c3bc6e57d128b5e565be28ca, 0xd7c469a307201e75fc005a4b76b707, 0x0040d8], - ), - F::from_limbs( - [0x892a9b3c41eda72ed74a199a41d737, 0xcf8ebffa762814c3dc07af56614e4c, 0x003314], - ), - F::from_limbs( - [0xe64499b0d7caec0b00709d16ad9a83, 0xb54c8d72e98d795445bdfc60240f61, 0x00365f], - ), - F::from_limbs( - [0xd75f694f269112f4ff8f61e952657e, 0xf2069c2a93bab9e5924a0d41b3f5f1, 0x003d8d], - ), - F::from_limbs( - [0xd7a3987f769bcdcca9e87f5a7f1839, 0x28c04a0ebb7cef135ae7b8e3362098, 0x000aaf], - ), - F::from_limbs( - [0xe6006a8087c0313356177fa580e7c8, 0x7e92df8ec1cb44267d2050bea1e4ba, 0x00693e], - ), - F::from_limbs( - [0x46526f56e933837b9a7281e045bece, 0xca3c7024fc860c906c9a837e1ef6c9, 0x0051c3], - ), - F::from_limbs( - [0x775193a915287b84658d7d1fba4133, 0xdd16b97880c226a96b6d8623b90e8a, 0x002229], - ), - F::from_limbs( - [0x7bf2539257c17e7aad249861212753, 0x694837b9391d085fa60b9f017e7069, 0x0036a0], - ), - F::from_limbs( - [0x41b1af6da69a808552db669eded8ae, 0x3e0af1e4442b2ada31fc6aa05994ea, 0x003d4d], - ), - F::from_limbs( - [0x08ab2a2ad21968eec3c5de94bad69d, 0xc186cf00b349406509fe76f63710de, 0x0054c8], - ), - F::from_limbs( - [0xb4f8d8d52c4296113c3a206b452964, 0xe5cc5a9cc9fef2d4ce0992aba0f475, 0x001f24], - ), - F::from_limbs( - [0x944f00370ccf4f13fb91c643fb2d66, 0x95a692611ba92c8972a756f96cb36c, 0x003bbe], - ), - F::from_limbs( - [0x295502c8f18cafec046e38bc04d29b, 0x11ac973c619f06b06560b2a86b51e7, 0x00382f], - ), - F::from_limbs( - [0x272c6068d63114246a617ab5b1d7c1, 0xc9ed81babb1d1bd763ca4d6bdfd295, 0x005026], - ), - F::from_limbs( - [0x9677a297282aeadb959e844a4e2840, 0xdd65a7e2c22b1762743dbc35f832be, 0x0023c6], - ), - F::from_limbs( - [0x951e797897dba86fdf5cf1dc0d5e2d, 0xeff498b8905fcb05b3a6dd0acdcfa0, 0x00328e], - ), - F::from_limbs( - [0x288589876680569020a30d23f2a1d4, 0xb75e90e4ece8683424612c970a35b3, 0x00415e], - ), - F::from_limbs( - [0x6c51f4dd49bc1edfaec8846128af8c, 0xec951e59e820a34667352ae9d5dc49, 0x00565e], - ), - F::from_limbs( - [0x51520e22b49fe02051377a9ed75075, 0xbabe0b4395278ff370d2deb802290a, 0x001d8e], - ), - F::from_limbs( - [0x564a7da1b902e56caf3d28aac9a3c4, 0xb58e63be683db556ce006a3e0689cf, 0x0032f3], - ), - F::from_limbs( - [0x6759855e4559199350c2d655365c3d, 0xf1c4c5df150a7de30a079f63d17b84, 0x0040f9], - ), - F::from_limbs( - [0xc813f4bdbc74d2b530d23b962f2a33, 0xdc158b69f2a11da67680a3c4d0af46, 0x004500], - ), - F::from_limbs( - [0xf5900e4241e72c4acf2dc369d0d5ce, 0xcb3d9e338aa71593618765dd07560c, 0x002eec], - ), - F::from_limbs( - [0x5b041f5f9708988f8dae3158baa4f0, 0xfeb5f831eb4b4062055dbcce3169b1, 0x00257e], - ), - F::from_limbs( - [0x629fe3a0675366707251cda7455b11, 0xa89d316b91fcf2d7d2aa4cd3a69ba2, 0x004e6e], - ), - F::from_limbs( - [0xd87eea1587a122a77fcdb6e01fc805, 0xddb0d6f819ff9a970fd511c11cc817, 0x005111], - ), - F::from_limbs( - [0xe52518ea76badc588032481fe037fc, 0xc9a252a5634898a2c832f7e0bb3d3b, 0x0022db], - ), - F::from_limbs( - [0xcbb32eecd136f3bd36b91fbcc4d9b6, 0x5004d39bdc27c60b52058c6a5d992c, 0x0036d5], - ), - F::from_limbs( - [0xf1f0d4132d250b42c946df433b264b, 0x574e5601a1206d2e86027d377a6c26, 0x003d18], - ), - F::from_limbs( - [0x31775507138bf4d55710af424be9d8, 0xced1d9e77067fa868a71c6f77de16d, 0x006ab5], - ), - F::from_limbs( - [0x8c2cadf8ead00a2aa8ef4fbdb41629, 0xd8814fb60ce038b34d9642aa5a23e6, 0x000937], - ), - F::from_limbs( - [0x22be3aea24e089a73c2d0794e42fd6, 0x2e20bfe4966c7b20ecd45027f90dba, 0x002641], - ), - F::from_limbs( - [0x9ae5c815d97b7558c3d2f76b1bd02b, 0x793269b8e6dbb818eb33b979def799, 0x004dac], - ), - F::from_limbs( - [0x44e9ca24af3f23db594c625e551d2f, 0xaa708ba0d9387fc2ea6188ea73aeba, 0x005797], - ), - F::from_limbs( - [0x78ba38db4f1cdb24a6b39ca1aae2d2, 0xfce29dfca40fb376eda680b7645699, 0x001c55], - ), - F::from_limbs( - [0x1a389fbb63a04a5f354e65971de4d9, 0x55f4c40d039d403ad68fd45a57b606, 0x00422e], - ), - F::from_limbs( - [0xa36b63449abbb4a0cab19968e21b28, 0x515e659079aaf2ff01783547804f4d, 0x0031bf], - ), - F::from_limbs( - [0xb6cdeb0f626ed00651b1676d885461, 0x33380951bff039cc3eca9b8f12386f, 0x0033f6], - ), - F::from_limbs( - [0x06d617f09bed2ef9ae4e979277aba0, 0x741b204bbd57f96d993d6e12c5cce4, 0x003ff7], - ), - F::from_limbs( - [0xda6ff3d514cd34f981d24464db09e3, 0x09b0db598773f7ce184aa37ed63aa3, 0x0007f7], - ), - F::from_limbs( - [0xe3340f2ae98eca067e2dba9b24f61e, 0x9da24e43f5d43b6bbfbd662301caaf, 0x006bf6], - ), - F::from_limbs( - [0xd1f0ef63638923521de4c4c32db9ab, 0xbf2f35a097b959e1e80e2b91530396, 0x0021cc], - ), - F::from_limbs( - [0xebb3139c9ad2dbade21b3a3cd24656, 0xe823f3fce58ed957eff9de108501bc, 0x005220], - ), - F::from_limbs( - [0xd4938d032e32e3680c16c5a25aa156, 0x3cf7027be69cc607157d64fd6ad8aa, 0x007110], - ), - F::from_limbs( - [0xe91075fcd0291b97f3e9395da55eab, 0x6a5c272196ab6d32c28aa4a46d2ca8, 0x0002dd], - ), - F::from_limbs( - [0x49f11bcd26167e652046ce1ccb0b04, 0x0ab5a536a2bc4ae3bc899b9f299d3d, 0x006f24], - ), - F::from_limbs( - [0x73b2e732d845809adfb930e334f4fd, 0x9c9d8466da8be8561b7e6e02ae6816, 0x0004c9], - ), - F::from_limbs( - [0x86d07b2a764c768bf2bded30b49e55, 0x35c886192d15cdecb2b5626ba1982a, 0x001d5e], - ), - F::from_limbs( - [0x36d387d5880f88740d4211cf4b61ac, 0x718aa3845032654d2552a736366d29, 0x00568f], - ), - F::from_limbs( - [0x741dccc9d3b837864148660c5ff769, 0x674a258c9a5f5df0c9cf432b619672, 0x0044a4], - ), - F::from_limbs( - [0x498636362aa3c779beb798f3a00898, 0x40090410e2e8d5490e38c676766ee1, 0x002f49], - ), - F::from_limbs( - [0xf349c07945e5e0edb443dca4bddafd, 0xb2d557f9bc8f70459aa181f5b2c711, 0x00091a], - ), - F::from_limbs( - [0xca5a4286b8761e124bbc225b422504, 0xf47dd1a3c0b8c2f43d6687ac253e41, 0x006ad2], - ), - F::from_limbs( - [0x00d055d2a9b0bc6d8a5054451ad0e3, 0x34fba2e3d54058c59b99b8084fe171, 0x007059], - ), - F::from_limbs( - [0xbcd3ad2d54ab429275afaabae52f1e, 0x725786b9a807da743c6e51998823e2, 0x000394], - ), - F::from_limbs( - [0xdf38bbada9907b5c19b4d0ea2cf552, 0xe3137f39dc7cc1b70fdd68b0c23c3a, 0x0064a0], - ), - F::from_limbs( - [0xde6b475254cb83a3e64b2e15d30aaf, 0xc43faa63a0cb7182c82aa0f115c918, 0x000f4c], - ), - F::from_limbs( - [0xf33e0433d82ab9c8eb3ce41f9b3865, 0x856912a85c660aad656ffeb6c2bf63, 0x006c1f], - ), - F::from_limbs( - [0xca65fecc2631453714c31ae064c79c, 0x21ea16f520e2288c72980aeb1545ef, 0x0007ce], - ), - F::from_limbs( - [0xa761ed7f56302d96809abbf18276db, 0xe1596b71f9bc589a263dde7e697951, 0x005505], - ), - F::from_limbs( - [0x16421580a82bd1697f65430e7d8926, 0xc5f9be2b838bda9fb1ca2b236e8c02, 0x001ee7], - ), - F::from_limbs( - [0x4999895b894e7b3bcce44cd25431fe, 0x099c42c3c3a0f3e1f8c910f610b39b, 0x00349e], - ), - F::from_limbs( - [0x740a79a4750d83c4331bb22dabce03, 0x9db6e6d9b9a73f57df3ef8abc751b8, 0x003f4f], - ), - F::from_limbs( - [0xef365d8f564d8665d97d20da8a4880, 0x019e35705d3df95a130822cd786187, 0x005d09], - ), - F::from_limbs( - [0xce6da570a80e789a2682de2575b781, 0xa5b4f42d200a39dfc4ffe6d45fa3cb, 0x0016e4], - ), - F::from_limbs( - [0xbc1a689171d2cf978fe23164f37571, 0xf0e9d4f0de132b3dd8b8c5ad4beab0, 0x0073cf], - ), - F::from_limbs( - [0x01899a6e8c892f68701dcd9b0c8a90, 0xb66954ac9f3507fbff4f43f48c1aa3, 0x00001d], - ), - F::from_limbs( - [0x3ffb8f77520ffff2a23b550a4ab2db, 0x0b24e9dfe12818744d82593f6f34d6, 0x0057cf], - ), - F::from_limbs( - [0x7da87388ac4bff0d5dc4a9f5b54d26, 0x9c2e3fbd9c201ac58a85b06268d07d, 0x001c1e], - ), - F::from_limbs( - [0x997826bfc8ad389e25e3fe6cef99eb, 0x78749cc708a949a477553bc2f4fc33, 0x000ab3], - ), - F::from_limbs( - [0x242bdc4035aec661da1c0093106616, 0x2ede8cd6749ee99560b2cddee30920, 0x00693a], - ), - F::from_limbs( - [0x586184211e1e67d4f1c280878dd156, 0xde92b22d5da44740e70657943af37e, 0x0059db], - ), - F::from_limbs( - [0x65427edee03d972b0e3d7e78722eab, 0xc8c077701fa3ebf8f101b20d9d11d5, 0x001a11], - ), - F::from_limbs( - [0xcda463a8d1c74bd10369bd08096f25, 0xee4c927ff242f2211ffa4190c7122f, 0x0005f6], - ), - F::from_limbs( - [0xefff9f572c94b32efc9641f7f690dc, 0xb906971d8b054118b80dc81110f323, 0x006df6], - ), - F::from_limbs( - [0x064b923b363ae2563bf5faa91ed24b, 0xba6d9970e394849ed4fd6170ed5c48, 0x0061b0], - ), - F::from_limbs( - [0xb75870c4c8211ca9c40a0456e12db6, 0xece5902c99b3ae9b030aa830eaa90b, 0x00123c], - ), - F::from_limbs( - [0xac287e54e95f83e124da9b67220f6a, 0x9a86ccaef3e24ca64c8224be01c20b, 0x005fe6], - ), - F::from_limbs( - [0x117b84ab14fc7b1edb256398ddf097, 0x0ccc5cee8965e6938b85e4e3d64348, 0x001407], - ), - F::from_limbs( - [0xbdc8bec4ca55090a1159e33226fddc, 0x01452a43350e9ccd0a8ad0d9ab6b1b, 0x004ded], - ), - F::from_limbs( - [0xffdb443b3406f5f5eea61bcdd90225, 0xa60dff5a4839966ccd7d38c82c9a37, 0x002600], - ), - F::from_limbs( - [0x5e1c54792bce639cc1766f87d12b83, 0xfc8a65c7f929a997bfdd4f35e3ed22, 0x003339], - ), - F::from_limbs( - [0x5f87ae86d28d9b633e898f782ed47e, 0xaac8c3d5841e89a2182aba6bf41831, 0x0040b3], - ), - F::from_limbs( - [0xa43adf717e6f5462df3334e6f50603, 0x78efac810f398ebea89d164fda7eb5, 0x00194a], - ), - F::from_limbs( - [0x1969238e7fecaa9d20ccca190af9fe, 0x2e637d1c6e0ea47b2f6af351fd869e, 0x005aa3], - ), - F::from_limbs( - [0xc24e588eeaf243b62ac02fe31ee32e, 0x8a30a21a1e10ea55f945e2ab111301, 0x004765], - ), - F::from_limbs( - [0xfb55aa711369bb49d53fcf1ce11cd3, 0x1d2287835f3748e3dec226f6c6f251, 0x002c88], - ), - F::from_limbs( - [0xc6c68d42f47a67560dced4fdd1fa58, 0x7540ddef6d67d1f5d35735e4bd5e3b, 0x002f01], - ), - F::from_limbs( - [0xf6dd75bd09e197a9f2312a022e05a9, 0x32124bae0fe0614404b0d3bd1aa717, 0x0044ec], - ), - F::from_limbs( - [0xca9e3b165ffd945b504b3bb34e64db, 0x5e2e8b0cfbfa61bd24d49a89618b24, 0x0012ad], - ), - F::from_limbs( - [0xf305c7e99e5e6aa4afb4c34cb19b26, 0x49249e90814dd17cb3336f18767a2e, 0x006140], - ), - F::from_limbs( - [0x96f2f1c97a5e1a3a3e804ffc87763e, 0xbb98eb7f7419a70793f2a8652ad8ed, 0x002c07], - ), - F::from_limbs( - [0x26b1113683fde4c5c17faf037889c3, 0xebba3e1e092e8c324415613cad2c66, 0x0047e5], - ), - F::from_limbs( - [0x140327f4c971e021cd8ea769a094a8, 0xaaff762d242c005f3353a3f16a497c, 0x002959], - ), - F::from_limbs( - [0xa9a0db0b34ea1ede327157965f6b59, 0xfc53b370591c32daa4b465b06dbbd7, 0x004a93], - ), - F::from_limbs( - [0x0f71e5bc71e446fdc1747a63ca7ac3, 0x9afc610afa905bd996a93f88b570c4, 0x002c32], - ), - F::from_limbs( - [0xae321d438c77b8023e8b849c35853e, 0x0c56c89282b7d760415eca1922948f, 0x0047bb], - ), - F::from_limbs( - [0xf4cfbb63e2c54e74aa45a97409d198, 0x989b5812a14b95b3455dc1fc4ccd45, 0x00472e], - ), - F::from_limbs( - [0xc8d4479c1b96b08b55ba558bf62e69, 0x0eb7d18adbfc9d8692aa47a58b380d, 0x002cbf], - ), - F::from_limbs( - [0x93cc71925057864dbe0415c94990ca, 0xc088a84a78536f2265c88b14e72ab3, 0x0036e4], - ), - F::from_limbs( - [0x29d7916dae0478b241fbe936b66f37, 0xe6ca815304f4c417723f7e8cf0daa0, 0x003d08], - ), - F::from_limbs( - [0x84298ae8c5a849168f04747c6dd5f6, 0xafa0841de6392d45266b5073cdd55a, 0x002780], - ), - F::from_limbs( - [0x397a781738b3b5e970fb8a83922a0b, 0xf7b2a57f970f05f4b19cb92e0a2ff9, 0x004c6c], - ), - F::from_limbs( - [0x3e0b597663520df89d77764e3c697d, 0x98e3d7cffb2883fe05d75d187fb448, 0x000e2d], - ), - F::from_limbs( - [0x7f98a9899b09f107628888b1c39684, 0x0e6f51cd821faf3bd230ac8958510b, 0x0065c0], - ), - F::from_limbs( - [0x19ce40ca252a482fa108ef1d9fd883, 0xa5be459b5d08fae658577ea875bd85, 0x0053b2], - ), - F::from_limbs( - [0xa3d5c235d931b6d05ef70fe260277e, 0x0194e402203f38537fb08af96247ce, 0x00203b], - ), - F::from_limbs( - [0x8e834b9d101cc30553818f08ec3792, 0x732ccb933eb66f82430836ca2cb22d, 0x002a8a], - ), - F::from_limbs( - [0x2f20b762ee3f3bfaac7e6ff713c86f, 0x34265e0a3e91c3b794ffd2d7ab5326, 0x004963], - ), - F::from_limbs( - [0x578c6d4d68ed7dca98bd685bd2aadb, 0xcf54a97840df560670b0af632fe115, 0x0002a8], - ), - F::from_limbs( - [0x661795b2956e8135674296a42d5526, 0xd7fe80253c68dd3367575a3ea8243e, 0x007144], - ), - F::from_limbs( - [0x34d2b570c678cbc0cb94250c958ba6, 0x1552c8b68e2f38b6e13590d0570de6, 0x0025a8], - ), - F::from_limbs( - [0x88d14d8f37e3333f346bd9f36a745b, 0x920060e6ef18fa82f6d278d180f76d, 0x004e45], - ), - F::from_limbs( - [0x1184a5a8c9d0c61c94431cded59c35, 0x120f1f2bdbbd7a988914f8099e95c1, 0x00607e], - ), - F::from_limbs( - [0xac1f5d57348b38e36bbce2212a63cc, 0x95440a71a18ab8a14ef31198396f92, 0x00136f], - ), - F::from_limbs( - [0xd6fefe5e71e4af3ce5516b5b587650, 0x34b9a353074fe5db498087c0b30bec, 0x002f22], - ), - F::from_limbs( - [0xe6a504a18c774fc31aae93a4a789b1, 0x7299864a75f84d5e8e8781e124f966, 0x0044cb], - ), - F::from_limbs( - [0x7afe2f33b2d29c01e3f791190a25d7, 0x177195db06ee6206cad3f8f8edd20f, 0x000ffe], - ), - F::from_limbs( - [0x42a5d3cc4b8962fe1c086de6f5da2a, 0x8fe193c27659d1330d3410a8ea3344, 0x0063ef], - ), - F::from_limbs( - [0x5406346f9e88c9af3e5868ce1e4fa4, 0xf3250b114352a07bbae29228324286, 0x0037a1], - ), - F::from_limbs( - [0x699dce905fd33550c1a79631e1b05d, 0xb42e1e8c39f592be1d257779a5c2cd, 0x003c4b], - ), - F::from_limbs( - [0x32052ccde9b4a9e6681bf64684319d, 0x21267ce32c4122aea787e30b9f31d8, 0x005561], - ), - F::from_limbs( - [0x8b9ed63214a7551997e408b97bce64, 0x862cacba5107108b3080269638d37b, 0x001e8c], - ), - F::from_limbs( - [0x7297ee3889650ac76cad1646b4761b, 0x3c8ebc9a02da5d2bc85bcb435da336, 0x00018a], - ), - F::from_limbs( - [0x4b0c14c774f6f4389352e8b94b89e6, 0x6ac46d037a6dd60e0fac3e5e7a621d, 0x007263], - ), - F::from_limbs( - [0x254665e6c64ce581eae2c4dce4c189, 0x28fa32bbdcdfe1800790e64116d4ae, 0x006d41], - ), - F::from_limbs( - [0x985d9d19380f197e151d3a231b3e78, 0x7e58f6e1a06851b9d0772360c130a5, 0x0006ac], - ), - F::from_limbs( - [0xf3441dca163541a496c81e00ff1276, 0xbde858c524939b5eade1d86f47824f, 0x00678d], - ), - F::from_limbs( - [0xca5fe535e826bd5b6937e0ff00ed8b, 0xe96ad0d858b497db2a263132908303, 0x000c5f], - ), - F::from_limbs( - [0xe51ebc10b57b63a5e9eab8152b4839, 0xee15d6617551bb90e37cb272360e41, 0x004f8c], - ), - F::from_limbs( - [0xd88546ef48e09b5a161546ead4b7c8, 0xb93d533c07f677a8f48b572fa1f711, 0x002460], - ), - F::from_limbs( - [0x22cebc18e0dfea53811fb238fd2814, 0x90a3cef9da73ce6a4f2099a0af14fb, 0x0021bb], - ), - F::from_limbs( - [0x9ad546e71d7c14ac7ee04cc702d7ed, 0x16af5aa3a2d464cf88e7700128f058, 0x005232], - ), - F::from_limbs( - [0xfa1af59c87e3c79575577ad3edf1cb, 0x27562b6a9a47cd994218dfd57859ef, 0x00061a], - ), - F::from_limbs( - [0xc3890d637678376a8aa8842c120e36, 0x7ffcfe32e30065a095ef29cc5fab63, 0x006dd3], - ), - F::from_limbs( - [0x82dfab906848c79c3c62b3f1e99da1, 0x28bbc7ee1bd43b6c686683ad41bf33, 0x0012d8], - ), - F::from_limbs( - [0x3ac4576f96133763c39d4b0e166260, 0x7e9761af6173f7cd6fa185f4964620, 0x006115], - ), - F::from_limbs( - [0x55abba30f4c41cd573721eba4465da, 0x1de7a6c125e8339bd6dd4c22a7b59c, 0x0014b0], - ), - F::from_limbs( - [0x67f848cf0997e22a8c8de045bb9a27, 0x896b82dc575fff9e012abd7f304fb7, 0x005f3d], - ), - F::from_limbs( - [0x2d52cdfd0b98891cc466c414f63fc0, 0x2c10967cc466405960131e7988212b, 0x00237a], - ), - F::from_limbs( - [0x90513502f2c375e33b993aeb09c041, 0x7b429320b8e1f2e077f4eb284fe428, 0x005073], - ), - F::from_limbs( - [0x1c1e85d06fe60186a9252bd472f5c3, 0xa8ec47f5c95bf245914235998e63d5, 0x003282], - ), - F::from_limbs( - [0xa1857d2f8e75fd7956dad32b8d0a3e, 0xfe66e1a7b3ec40f446c5d40849a17e, 0x00416a], - ), - F::from_limbs( - [0x020c89ecc0849375daa8809864b9c9, 0xcb5137860e4d96b953a9110b8bc722, 0x0047e3], - ), - F::from_limbs( - [0xbb9779133dd76b8a25577e679b4638, 0xdc01f2176efa9c80845ef8964c3e31, 0x002c09], - ), - F::from_limbs( - [0xdc61fcccb02913fc394ee9057469b2, 0x555589c733ab00def2f546ab11bdb3, 0x006841], - ), - F::from_limbs( - [0xe14206334e32eb03c6b115fa8b964f, 0x51fd9fd6499d325ae512c2f6c6479f, 0x000bac], - ), - F::from_limbs( - [0x726e23ee95bde2252d6661602d7435, 0x26d40fbaeeb2b594020b8675359421, 0x0060ae], - ), - F::from_limbs( - [0x4b35df11689e1cdad2999d9fd28bcc, 0x807f19e28e957da5d5fc832ca27132, 0x00133f], - ), - F::from_limbs( - [0x9a0662c6b842dae4bdeee08a005d23, 0x5a11d5a09148a256aa11611dc01ba3, 0x001d34], - ), - F::from_limbs( - [0x239da0394619241b42111e75ffa2de, 0x4d4153fcebff90e32df6a88417e9b0, 0x0056b9], - ), - F::from_limbs( - [0xac53ac97accee001ed731a05753b82, 0x2e90157bd61796b1028e1af5170f0b, 0x000a2c], - ), - F::from_limbs( - [0x11505668518d1efe128ce4fa8ac47f, 0x78c31421a7309c88d579eeacc0f648, 0x0069c1], - ), - F::from_limbs( - [0xb6f5ee2e46bfbbca14e7c13bdd9bf7, 0x1801a4e66be3bb20514a762a99af1c, 0x00441c], - ), - F::from_limbs( - [0x06ae14d1b79c4335eb183dc422640a, 0x8f5184b71164781986bd93773e5637, 0x002fd1], - ), - F::from_limbs( - [0x439ad148d806a7ccdf8183b63ed567, 0x8c89b8e828873394d984953e9c4dc3, 0x0010e4], - ), - F::from_limbs( - [0x7a0931b726555733207e7b49c12a9a, 0x1ac970b554c0ffa4fe8374633bb790, 0x006309], - ), - F::from_limbs( - [0x3e07bd495b317f1e77078e4a922207, 0x5c0d57961afe92b25ed1032a82f445, 0x0041c9], - ), - F::from_limbs( - [0x7f9c45b6a32a7fe188f870b56dddfa, 0x4b45d2076249a0877937067755110e, 0x003224], - ), - F::from_limbs( - [0x3ab0758cbe037ad272322f2e9b1d0f, 0xce3c4a3cd9a490a6c43e4346125662, 0x000ae3], - ), - F::from_limbs( - [0x82f38d734058842d8dcdcfd164e2f2, 0xd916df60a3a3a29313c9c65bc5aef1, 0x006909], - ), - F::from_limbs( - [0x466a99fb5f7bef1e6017af6230182b, 0x7eb0960434809577da230e2c88260c, 0x0003df], - ), - F::from_limbs( - [0x773969049ee00fe19fe84f9dcfe7d6, 0x28a2939948c79dc1fde4fb754fdf47, 0x00700e], - ), - F::from_limbs( - [0x6ed968e5c09240096c2d089156eaed, 0x5fefa464baa254d980d9d59b1f65bd, 0x005bb3], - ), - F::from_limbs( - [0x4eca9a1a3dc9bef693d2f66ea91514, 0x47638538c2a5de60572e3406b89f96, 0x00183a], - ), - F::from_limbs( - [0x999c758ec8080ab8e9e36ceea971b7, 0x146d0722977916eed0bc549904aba0, 0x002254], - ), - F::from_limbs( - [0x24078d713653f447161c9211568e4a, 0x92e6227ae5cf1c4b074bb508d359b3, 0x005199], - ), - F::from_limbs( - [0x4d72814a2d66d08895e916b75c0586, 0x130e3be6e721dff06413633821356e, 0x0023c2], - ), - F::from_limbs( - [0x703181b5d0f52e776a16e848a3fa7b, 0x9444edb69626534973f4a669b6cfe5, 0x00502b], - ), - F::from_limbs( - [0x4f3dcab708c5c68b54a44d5eb5f239, 0xafacdf20a18221d002ebd6d577c87d, 0x004b6e], - ), - F::from_limbs( - [0x6e663848f5963874ab5bb1a14a0dc8, 0xf7a64a7cdbc61169d51c32cc603cd6, 0x00287e], - ), - F::from_limbs( - [0x3cd85a008ad190414dbdcb15d0dac0, 0x18c3495bb2a9b4c1265d710a862f5f, 0x006749], - ), - F::from_limbs( - [0x80cba8ff738a6ebeb24233ea2f2541, 0x8e8fe041ca9e7e78b1aa989751d5f4, 0x000ca4], - ), - F::from_limbs( - [0xfc5bbb5fe6d85bf135c083512c9fe8, 0xfacd0f29438dc279c735326262a715, 0x00443c], - ), - F::from_limbs( - [0xc14847a01783a30eca3f7baed36019, 0xac861a7439ba70c010d2d73f755e3d, 0x002fb0], - ), - F::from_limbs( - [0xddd69a355f5807ccd7ce20289e7057, 0xc73dd7b7381292525534a336790988, 0x0021bd], - ), - F::from_limbs( - [0xdfcd68ca9f03f7332831ded7618faa, 0xe01551e64535a0e782d3666b5efbca, 0x00522f], - ), - F::from_limbs( - [0x2e72025de4a0c712a4159d38ee7edf, 0x93133a3a6b7193b0142074a447361e, 0x00210f], - ), - F::from_limbs( - [0x8f3200a219bb37ed5bea61c7118122, 0x143fef6311d69f89c3e794fd90cf35, 0x0052de], - ), - F::from_limbs( - [0x668bb61eabbf26efe8b7c5f4cdbb8a, 0x8055f6f56ceef2a6ba04234203090d, 0x005169], - ), - F::from_limbs( - [0x57184ce1529cd8101748390b324477, 0x26fd32a8105940931e03e65fd4fc46, 0x002284], - ), - F::from_limbs( - [0x151dff81d368d532dbe75201147c74, 0xf563dca47733442fccebb3b272904a, 0x0015aa], - ), - F::from_limbs( - [0xa886037e2af329cd2418acfeeb838d, 0xb1ef4cf90614ef0a0b1c55ef657509, 0x005e42], - ), - F::from_limbs( - [0x0a8dbfebab4f06748e13419b319c10, 0x1d7727add9dd135d2ad0956ba98d78, 0x00528e], - ), - F::from_limbs( - [0xb3164314530cf88b71ecbd64ce63f1, 0x89dc01efa36b1fdcad3774362e77db, 0x00215f], - ), - F::from_limbs( - [0x9f0e6768335b1d2b9a21f44b8839df, 0xcffa24a5ed86e22b586a2e37e5b16a, 0x0039b5], - ), - F::from_limbs( - [0x1e959b97cb00e1d465de0ab477c622, 0xd75904f78fc1510e7f9ddb69f253e9, 0x003a37], - ), - F::from_limbs( - [0xe12f618a02f52636e22842492675f1, 0x1578dddc06904031a5b1f1d0e35a2d, 0x00465a], - ), - F::from_limbs( - [0xdc74a175fb66d8c91dd7bcb6d98a10, 0x91da4bc176b7f308325617d0f4ab25, 0x002d93], - ), - F::from_limbs( - [0xfc7593aacae8f0048c998c718b18fa, 0xb132aace436810593938764cd2873c, 0x005e9f], - ), - F::from_limbs( - [0xc12e6f5533730efb7366728e74e707, 0xf6207ecf39e022e09ecf9355057e16, 0x00154d], - ), - F::from_limbs( - [0x855c98f03e4ec9bbc878488ea71ba8, 0x4f4d80e421236231f3707b9d46a099, 0x005765], - ), - F::from_limbs( - [0x38476a0fc00d35443787b67158e459, 0x5805a8b95c24d107e4978e049164ba, 0x001c88], - ), - F::from_limbs( - [0xa9e6457cbef76d1fccde66fc588d7d, 0x6964e2c2128178dec9a67d6bf69ab1, 0x004c6b], - ), - F::from_limbs( - [0x13bdbd833f6491e033219803a77284, 0x3dee46db6ac6ba5b0e618c35e16aa2, 0x002782], - ), - F::from_limbs( - [0x0ab900fdd04ba0c27a1a12d0f2c7b4, 0x958f86d2b38d13cebad18da8de97be, 0x004fe1], - ), - F::from_limbs( - [0xb2eb02022e105e3d85e5ec2f0d384d, 0x11c3a2cac9bb1f6b1d367bf8f96d95, 0x00240c], - ), - F::from_limbs( - [0xfec709676525a283ae887be3b065d2, 0x31dc646483ada7ec9b7504f5c08d9a, 0x004ea3], - ), - F::from_limbs( - [0xbedcf99899365c7c5177831c4f9a2f, 0x7576c538f99a8b4d3c9304ac1777b8, 0x00254a], - ), - F::from_limbs( - [0x6236400ce1a035463b81e35706dc93, 0x794174efafe9bbb1da00479695453e, 0x0008ab], - ), - F::from_limbs( - [0x5b6dc2f31cbbc9b9c47e1ba8f9236e, 0x2e11b4adcd5e7787fe07c20b42c015, 0x006b42], - ), - F::from_limbs( - [0xac3ff58faca4e3edadb1101621f8bf, 0x844c97b849b37e115e7879e5fe85de, 0x003d52], - ), - F::from_limbs( - [0x11640d7051b71b12524eeee9de0742, 0x230691e53394b528798f8fbbd97f75, 0x00369b], - ), - F::from_limbs( - [0x7c85bcff563e231e8623e352e51c35, 0xcdffedfad78d5fe87ca61ae9abc08f, 0x002b43], - ), - F::from_limbs( - [0x411e4600a81ddbe179dc1bad1ae3cc, 0xd9533ba2a5bad3515b61eeb82c44c4, 0x0048a9], - ), - F::from_limbs( - [0xa804027c23b9f95376802e91e05be8, 0xe9c4cef6cbefe6c9741d8956584aee, 0x001cdb], - ), - F::from_limbs( - [0x15a00083daa205ac897fd06e1fa419, 0xbd8e5aa6b1584c7063ea804b7fba65, 0x005711], - ), - F::from_limbs( - [0x0e0cd54bd4aa61826d2d37f94a447f, 0x63512d6507eff7e74e36ebb406ab4a, 0x0065c6], - ), - F::from_limbs( - [0xaf972db429b19d7d92d2c706b5bb82, 0x4401fc3875583b5289d11dedd15a09, 0x000e27], - ), - F::from_limbs( - [0x1d8f59d2e0d8f517d1f555defa4965, 0xce0a6cf41e04d1f37da3193dc2f7e1, 0x000e39], - ), - F::from_limbs( - [0xa014a92d1d8309e82e0aa92105b69c, 0xd948bca95f4361465a64f064150d72, 0x0065b3], - ), - F::from_limbs( - [0xe9debb01a73a7d2d2fd8f2b8879fa4, 0x9ddf450c9503f6d1e86fff13f87f5a, 0x0010af], - ), - F::from_limbs( - [0xd3c547fe572181d2d0270c4778605d, 0x0973e490e8443c67ef980a8ddf85f8, 0x00633e], - ), - F::from_limbs( - [0x82a869b076061adec6750f6279f487, 0xe06fd1d55ed610877582a2642dfdc9, 0x0052c8], - ), - F::from_limbs( - [0x3afb994f8855e421398aef9d860b7a, 0xc6e357c81e7222b26285673daa078a, 0x002124], - ), - F::from_limbs( - [0xcd0477f8b300e2e8072dcdffa22a4b, 0x0427dc1ed46b959d6213b9fb9ca34b, 0x006cfb], - ), - F::from_limbs( - [0xf09f8b074b5b1c17f8d231005dd5b6, 0xa32b4d7ea8dc9d9c75f44fa63b6207, 0x0006f2], - ), - F::from_limbs( - [0x6e9b05922fb4ca4db6496c5f476610, 0x7f60ea83e3914376d6422502433719, 0x004ee5], - ), - F::from_limbs( - [0x4f08fd6dcea734b249b692a0b899f1, 0x27f23f1999b6efc301c5e49f94ce3a, 0x002508], - ), - F::from_limbs( - [0xa62fc0089b634dbf2aac25d7d75fee, 0xdb944f0c588276cb7f8865b7d9ba3e, 0x0035ed], - ), - F::from_limbs( - [0x177442f762f8b140d553d92828a013, 0xcbbeda9124c5bc6e587fa3e9fe4b15, 0x003dff], - ), - F::from_limbs( - [0x98290aa8b6ad53f2043aa3f401dfdc, 0x09673fc03acedd09ac836e1ca7736a, 0x0053e1], - ), - F::from_limbs( - [0x257af85747aeab0dfbc55b0bfe2025, 0x9debe9dd427956302b849b853091e9, 0x00200c], - ), - F::from_limbs( - [0x647448c7b0afb7ec1c61775ab7abdd, 0x889ebec7d61b637217c82c971d9e4f, 0x005239], - ), - F::from_limbs( - [0x592fba384dac4713e39e87a5485424, 0x1eb46ad5a72ccfc7c03fdd0aba6704, 0x0021b4], - ), - F::from_limbs( - [0xfdccab18b6ef1df95145ce9d220f41, 0xae5fde2b4f5827052bda8626455524, 0x0033b2], - ), - F::from_limbs( - [0xbfd757e7476ce106aeba3062ddf0c0, 0xf8f34b722df00c34ac2d837b92b02e, 0x00403a], - ), - F::from_limbs( - [0x48364c6d02ded0006ae02ab74add69, 0x07e0704b0c97aead5c4e44e64375c3, 0x000c8d], - ), - F::from_limbs( - [0x756db692fb7d2eff951fd448b52298, 0x9f72b95270b0848c7bb9c4bb948f90, 0x006760], - ), - F::from_limbs( - [0x0fa82de7378c5647041bcb6bd46fcc, 0x5e373ec8ee1bbc8c8f5360d1f7b0e5, 0x00450a], - ), - F::from_limbs( - [0xadfbd518c6cfa8b8fbe433942b9035, 0x491bead48f2c76ad48b4a8cfe0546e, 0x002ee3], - ), - F::from_limbs( - [0xd7924989f5052ba483ec3b98206641, 0xa817449255ff6eb0398da5372b4151, 0x0008d0], - ), - F::from_limbs( - [0xe611b9760956d35b7c13c367df99c0, 0xff3be50b2748c4899e7a646aacc401, 0x006b1c], - ), - F::from_limbs( - [0xcaad5df72cd49bbe86414d32e186de, 0xdad728f81f15d7ed9ff23c94d4b3e1, 0x00493c], - ), - F::from_limbs( - [0xf2f6a508d187634179beb1cd1e7923, 0xcc7c00a55e325b4c3815cd0d035171, 0x002ab0], - ), - F::from_limbs( - [0x1247f31227b7d49e32a2c19d55f8d3, 0xded3eebc215ddeea461ee0cd7d94d6, 0x001f0e], - ), - F::from_limbs( - [0xab5c0fedd6a42a61cd5d3d62aa072e, 0xc87f3ae15bea544f91e928d45a707d, 0x0054de], - ), - F::from_limbs( - [0xdc89075d67ed7e317050f884ca576b, 0x281b92bda8a01a3a778c086ff4e1ad, 0x0001ed], - ), - F::from_limbs( - [0xe11afba2966e80ce8faf067b35a896, 0x7f3796dfd4a818ff607c0131e323a5, 0x007200], - ), - F::from_limbs( - [0xcdb87cb712877e0bf60e7c63c2437b, 0x4efb2363ab2f1ff78cb0023480e8f9, 0x001a6f], - ), - F::from_limbs( - [0xefeb8648ebd480f409f1829c3dbc86, 0x58580639d21913424b58076d571c59, 0x00597e], - ), - F::from_limbs( - [0xd45c8361c9f7297117194176b34fcd, 0xabbd11933f13d0bd028d2df1d8d2ea, 0x00657c], - ), - F::from_limbs( - [0xe9477f9e3464d58ee8e6bd894cb034, 0xfb96180a3e34627cd57adbafff3268, 0x000e70], - ), - F::from_limbs( - [0xf77a7bafa8af3673a70628281b1030, 0x37b660a6007a671cd104321d3da423, 0x00523d], - ), - F::from_limbs( - [0xc629875055acc88c58f9d6d7e4efd1, 0x6f9cc8f77ccdcc1d0703d7849a612f, 0x0021b0], - ), - F::from_limbs( - [0xa5adf88739a7bd9d7f8fd7d5e17d4c, 0xa451b990fd38ff18af03ba072d922e, 0x0030ed], - ), - F::from_limbs( - [0x17f60a78c4b441628070272a1e82b5, 0x0301700c800f342129044f9aaa7325, 0x004300], - ), - F::from_limbs( - [0xd55f49d6b5a1fa4a715cef814e4239, 0x8cd22f924921ab164cf3cbcd563e6d, 0x005b3b], - ), - F::from_limbs( - [0xe844b92948ba04b58ea30f7eb1bdc8, 0x1a80fa0b342688238b143dd481c6e5, 0x0018b2], - ), - F::from_limbs( - [0xaa756712f2bc015611aad4215f6c1d, 0x446d71965b3a8e20c5aa738a332574, 0x001a1a], - ), - F::from_limbs( - [0x132e9bed0b9ffda9ee552adea093e4, 0x62e5b807220da519125d9617a4dfdf, 0x0059d3], - ), - F::from_limbs( - [0xdf1a3727fd721d20a3252151ac98a0, 0x0d63de7126601d7386b1d14b886090, 0x001c40], - ), - F::from_limbs( - [0xde89cbd800e9e1df5cdaddae536761, 0x99ef4b2c56e815c6515638564fa4c2, 0x0057ad], - ), - F::from_limbs( - [0xfb22b17b1b8fce193fef7af0333d31, 0x8d54f1ac8eda45244257bc7eed74d0, 0x001373], - ), - F::from_limbs( - [0xc2815184e2cc30e6c010840fccc2d0, 0x19fe37f0ee6dee1595b04d22ea9082, 0x00607a], - ), - F::from_limbs( - [0xd94eb86ff1ed3c7833cda901f237d1, 0x6cac58e7d4d227ece7306d1ad0f73b, 0x003446], - ), - F::from_limbs( - [0xe4554a900c6ec287cc3255fe0dc830, 0x3aa6d0b5a8760b4cf0d79c87070e17, 0x003fa7], - ), - F::from_limbs( - [0x0a0b6dc3344e9740aa98279de1d272, 0x396f0bbba2006c10dffbc6e2ccfd1f, 0x0043ce], - ), - F::from_limbs( - [0xb398953cca0d67bf5567d7621e2d8f, 0x6de41de1db47c728f80c42bf0b0834, 0x00301f], - ), - F::from_limbs( - [0x2774aacbd8e5410e990b7ea6099539, 0x0ff19575c66a5d823a24eadcf44034, 0x00013a], - ), - F::from_limbs( - [0x962f58342576bdf166f48059f66ac8, 0x97619427b6ddd5b79de31ec4e3c51f, 0x0072b3], - ), - F::from_limbs( - [0x98cfc228cdac64c0f4b12f26fbee10, 0x608230bf89f522f30a822df80cebab, 0x006bbe], - ), - F::from_limbs( - [0x24d440d730af9a3f0b4ecfd90411f1, 0x46d0f8ddf3531046cd85dba9cb19a8, 0x00082f], - ), - F::from_limbs( - [0xfcae5ba09e0c9e7936dad504dd20d8, 0xd14ad990c5d94abc61794fedbb7b37, 0x0004fd], - ), - F::from_limbs( - [0xc0f5a75f604f6086c92529fb22df29, 0xd608500cb76ee87d768eb9b41c8a1b, 0x006eef], - ), - F::from_limbs( - [0x2dd2cd0d439bf99df86a7b583e6a7a, 0x334ff56b12c0fe4d544102494ce813, 0x000313], - ), - F::from_limbs( - [0x8fd135f2bac00562079583a7c19587, 0x740334326a8734ec83c707588b1d40, 0x0070da], - ), - F::from_limbs( - [0x012acc92ab4930bd516cd62ba82664, 0xc77d512a5bc54b53c2020e1531be45, 0x0008b1], - ), - F::from_limbs( - [0xbc79366d5312ce42ae9328d457d99d, 0xdfd5d8732182e7e61605fb8ca6470e, 0x006b3b], - ), - F::from_limbs( - [0xa0896f1080c1eee49d3bc9f665878a, 0x46f8c3bf1cc0a4b9f13d221641f726, 0x0029aa], - ), - F::from_limbs( - [0x1d1a93ef7d9a101b62c435099a7877, 0x605a65de60878e7fe6cae78b960e2d, 0x004a43], - ), - F::from_limbs( - [0x53929cdf5d53f68046a0338d19eb21, 0x4ecf71c935ff0ddb58cba88e385eb4, 0x00701c], - ), - F::from_limbs( - [0x6a116620a108087fb95fcb72e614e0, 0x5883b7d44749255e7f3c61139fa69f, 0x0003d1], - ), - F::from_limbs( - [0x4d116daf42538b08c8845e74a76e3c, 0x3df169bd66227d167a1aa89fd1bf92, 0x006073], - ), - F::from_limbs( - [0x70929550bc0873f7377ba08b5891c5, 0x6961bfe01725b6235ded61020645c1, 0x00137a], - ), - F::from_limbs( - [0x7ec84bcbd1676791088fac0c4f9032, 0x2f32a44ea3b5e5353491392eb969f1, 0x004928], - ), - F::from_limbs( - [0x3edbb7342cf4976ef77052f3b06fcf, 0x7820854ed9924e04a376d0731e9b62, 0x002ac5], - ), - F::from_limbs( - [0x9fefa0239bcb3e8a28db7c68591369, 0xab965ee2dd62dc7f696be9aa0ec978, 0x0028e0], - ), - F::from_limbs( - [0x1db462dc6290c075d7248297a6ec98, 0xfbbccaba9fe556ba6e9c1ff7c93bdb, 0x004b0c], - ), - F::from_limbs( - [0xb1df0d7f11055f353f8e344469d5db, 0xee2957ec3250ae111cfbdc4970ab0d, 0x006a85], - ), - F::from_limbs( - [0x0bc4f580ed569fcac071cabb962a26, 0xb929d1b14af78528bb0c2d58675a46, 0x000967], - ), - F::from_limbs( - [0xcaf14f19ed7d03a0f0d6fddf65ab78, 0x1d09b8983f31effc399a99a0f0774b, 0x001ce3], - ), - F::from_limbs( - [0xf2b2b3e610defb5f0f2901209a5489, 0x8a4971053e16433d9e6d7000e78e07, 0x00570a], - ), - F::from_limbs( - [0x0eb926614be1a588cdfcb063137ed0, 0xde7ab1959c4bc6a2ed06d37f167a03, 0x00407f], - ), - F::from_limbs( - [0xaeeadc9eb27a597732034e9cec8131, 0xc8d87807e0fc6c96eb013622c18b50, 0x00336d], - ), - F::from_limbs( - [0x7ea24c2e5ec8f8aa638667dde3590d, 0x5373bf1e91d9fef178082e44ecc0c7, 0x002ce4], - ), - F::from_limbs( - [0x3f01b6d19f9306559c7997221ca6f4, 0x53df6a7eeb6e34485fffdb5ceb448c, 0x004709], - ), - F::from_limbs( - [0x908be130f926723ad61f87d207308f, 0xd1772f77e6a8eea341e88434f19304, 0x004a4c], - ), - F::from_limbs( - [0x2d1821cf05358cc529e0772df8cf72, 0xd5dbfa25969f4496961f856ce6724f, 0x0029a0], - ), - F::from_limbs( - [0xe8222d4428fff63a9a7c5389c73e8f, 0x6f9d1eeb0abdf3bac4d64a36538a64, 0x007363], - ), - F::from_limbs( - [0xd581d5bbd55c08c56583ab7638c172, 0x37b60ab2728a3f7f1331bf6b847aee, 0x00008a], - ), - F::from_limbs( - [0x931b5f8b6cbdcc7974730b5c3ba924, 0x64469d1accc8fc62eef966d0253b7f, 0x003675], - ), - F::from_limbs( - [0x2a88a374919e32868b8cf3a3c456dd, 0x430c8c82b07f36d6e90ea2d1b2c9d4, 0x003d78], - ), - F::from_limbs( - [0x67e34e22abef508c9d7369401c9ce9, 0x6cd186a4d1bf23bfab53572bc8e62a, 0x007179], - ), - F::from_limbs( - [0x55c0b4dd526cae73628c95bfe36318, 0x3a81a2f8ab890f7a2cb4b2760f1f29, 0x000274], - ), - F::from_limbs( - [0x523efd9a4034293bcb639a86de8161, 0x70e5bd7314ec89710171d3095acded, 0x002dc3], - ), - F::from_limbs( - [0x6b650565be27d5c4349c6479217ea0, 0x366d6c2a685ba9c8d69636987d3766, 0x00462a], - ), - F::from_limbs( - [0xdc86cb3ee5aeda0dc44788191c6694, 0x85025f6fc6b635ee1289a4af9cc708, 0x000a03], - ), - F::from_limbs( - [0xe11d37c118ad24f23bb876e6e3996d, 0x2250ca2db691fd4bc57e64f23b3e4a, 0x0069ea], - ), - F::from_limbs( - [0xfb20b8ec99d14e44d969247a3b9ea0, 0x8d984cf2bbe3e84864fbbaf6ca1a19, 0x003a17], - ), - F::from_limbs( - [0xc2834a13648ab0bb2696da85c46161, 0x19badcaac1644af1730c4eab0deb39, 0x0039d6], - ), - F::from_limbs( - [0x3e4ce9b0b4d29e8ddb46c387d94289, 0x9c0f10c48a5ee2c04f5308e4117c29, 0x006e01], - ), - F::from_limbs( - [0x7f57194f4989607224b93b7826bd78, 0x0b4418d8f2e9507988b500bdc6892a, 0x0005ec], - ), - F::from_limbs( - [0x0843767d0372343f1f18f7ffc6877b, 0x6f733cc9941e4d1f292459f8fcb93b, 0x000f19], - ), - F::from_limbs( - [0xb5608c82fae9cac0e0e70700397886, 0x37dfecd3e929e61aaee3afa8db4c18, 0x0064d4], - ), - F::from_limbs( - [0x88b0025d0d21897a73822ebdcd10f4, 0xad7c3cd1771ded6b0d595d2df89be8, 0x00255b], - ), - F::from_limbs( - [0x34f400a2f13a75858c7dd04232ef0d, 0xf9d6eccc062a45cecaaeac73df696b, 0x004e91], - ), - F::from_limbs( - [0x33a0cc91de22b00210a61427617e32, 0xf107893997a09e1935feb8328692f2, 0x003e5f], - ), - F::from_limbs( - [0x8a03366e20394efdef59ead89e81cf, 0xb64ba063e5a79520a209516f517261, 0x00358d], - ), - F::from_limbs( - [0xaba4806747cbbb3ed3c6695778c414, 0x6b7fc7d64506fd4c8ab2f0d9a0c2ef, 0x001fd5], - ), - F::from_limbs( - [0x11ff8298b69043c12c3995a8873bed, 0x3bd361c7384135ed4d5518c8374264, 0x005418], - ), - F::from_limbs( - [0x9793cdc553268fdb8c8c9df25f113f, 0xc8b8a6bed3ce2e4295f13884893e82, 0x00569a], - ), - F::from_limbs( - [0x2610353aab356f247373610da0eec2, 0xde9a82dea97a04f74216d11d4ec6d1, 0x001d52], - ), - F::from_limbs( - [0x48c725f84f95c141afaf92fc44c150, 0x2ec90d8645b8541c402b6099de87a6, 0x006430], - ), - F::from_limbs( - [0x74dcdd07aec63dbe50506c03bb3eb1, 0x788a1c17378fdf1d97dca907f97dad, 0x000fbd], - ), - F::from_limbs( - [0x3d298b3fdcee949d23158904db414e, 0x5b2f0cdcb97b5ef4890c09efc1b9e8, 0x002c4a], - ), - F::from_limbs( - [0x807a77c0216d6a62dcea75fb24beb3, 0x4c241cc0c3ccd4454efbffb2164b6b, 0x0047a3], - ), - F::from_limbs( - [0x54bc8d5e005d10a64eed6a5818a4bf, 0x165bdc32edd97d8cc8889c8a298881, 0x005ab7], - ), - F::from_limbs( - [0x68e775a1fdfeee59b11294a7e75b42, 0x90f74d6a8f6eb5ad0f7f6d17ae7cd2, 0x001936], - ), - F::from_limbs( - [0x5d543983bbd49126324200928abe0a, 0x82d48a57fa1bf0d2b13a179c103085, 0x005e68], - ), - F::from_limbs( - [0x604fc97c42876dd9cdbdfe6d7541f7, 0x247e9f45832c426726cdf205c7d4ce, 0x001585], - ), - F::from_limbs( - [0x4959e25753f8727e4cddf5bbcf9e2e, 0x0e9ae069d4854261fc6d52cd9f472f, 0x001c9a], - ), - F::from_limbs( - [0x744a20a8aa638c81b32209443061d3, 0x98b84933a8c2f0d7db9ab6d438be24, 0x005753], - ), - F::from_limbs( - [0xfb52a4a4084049b64635a1fca37cd4, 0x97060617002b139d9e55125fd6a0da, 0x0006a1], - ), - F::from_limbs( - [0xc2515e5bf61bb549b9ca5d035c832d, 0x104d23867d1d1f9c39b2f742016478, 0x006d4c], - ), - F::from_limbs( - [0x46b757d37646ad5f6ed9d54ebc7dfd, 0x115e1973082b57191cb038744d3fda, 0x0059ad], - ), - F::from_limbs( - [0x76ecab2c881551a0912629b1438204, 0x95f5102a751cdc20bb57d12d8ac579, 0x001a40], - ), - F::from_limbs( - [0x3a3fdb27ce4620c9037884585beeed, 0x7ba852c1b35fd6ee452a97c16ac388, 0x004c29], - ), - F::from_limbs( - [0x836427d83015de36fc877aa7a41114, 0x2baad6dbc9e85c4b92dd71e06d41cb, 0x0027c4], - ), - F::from_limbs( - [0x5007e38c90bf5a1406a9e74470eb1c, 0x2d7256bac7644923c535f42197488e, 0x0059a7], - ), - F::from_limbs( - [0x6d9c1f736d9ca4ebf95617bb8f14e5, 0x79e0d2e2b5e3ea1612d2158040bcc5, 0x001a46], - ), - F::from_limbs( - [0x58596cd9180f6351eeda0bf1f9d15c, 0xdbac48ffd83b5b50fba542ee045f2d, 0x000cc1], - ), - F::from_limbs( - [0x654a9626e64c9bae1125f30e062ea5, 0xcba6e09da50cd7e8dc62c6b3d3a626, 0x00672b], - ), - F::from_limbs( - [0xda385259825e8ff7de74762844b59b, 0x8d1d32ee41ea7fa57c0bb07ba2861e, 0x004a07], - ), - F::from_limbs( - [0xe36bb0a67bfd6f08218b88d7bb4a66, 0x1a35f6af3b5db3945bfc5926357f34, 0x0029e6], - ), - F::from_limbs( - [0x663b19281ecf204a13c9090a5de344, 0x6cb1b8029d0f4ea7520a9e1f45fed2, 0x000264], - ), - F::from_limbs( - [0x5768e9d7df8cdeb5ec36f5f5a21cbd, 0x3aa1719ae038e49285fd6b82920681, 0x007189], - ), - F::from_limbs( - [0x424c5b7c97a6d27d1881b7fb2a11e6, 0x8b263946eb224cb0fea682711f56cf, 0x000526], - ), - F::from_limbs( - [0x7b57a78366b52c82e77e4704d5ee1b, 0x1c2cf0569225e688d9618730b8ae84, 0x006ec7], - ), - F::from_limbs( - [0xbf61c5f3d0832796c52d21fbc61f0f, 0xb379c9183ffc813bcf1073aceca325, 0x000ef4], - ), - F::from_limbs( - [0xfe423d0c2dd8d7693ad2dd0439e0f2, 0xf3d960853d4bb1fe08f795f4eb622d, 0x0064f8], - ), - F::from_limbs( - [0xe3a6cd55d29c43736afc498dd8c1d1, 0xa19828da9aab0564b5a8d1072ba42b, 0x00445e], - ), - F::from_limbs( - [0xd9fd35aa2bbfbb8c9503b572273e30, 0x05bb00c2e29d2dd5225f389aac6127, 0x002f8f], - ), - F::from_limbs( - [0xead8a0448ecebabcdf1235752b0ef3, 0xe8ee9237909732d4a06d7aa57eb71b, 0x006bcb], - ), - F::from_limbs( - [0xd2cb62bb6f8d444320edc98ad4f10e, 0xbe649765ecb10065379a8efc594e37, 0x000821], - ), - F::from_limbs( - [0x4119ad873614884d66efb4fed2279a, 0xd9900b7ae25a95dfadf106e3f002de, 0x005ae6], - ), - F::from_limbs( - [0x7c8a5578c84776b299104a012dd867, 0xcdc31e229aed9d5a2a1702bde80275, 0x001906], - ), - F::from_limbs( - [0xb4f7967f7e42a5fda4841718420054, 0x2f3fb51cf0a715d27b6251fc311c17, 0x0062fb], - ), - F::from_limbs( - [0x08ac6c80801959025b7be7e7bdffad, 0x781374808ca11d675ca5b7a5a6e93c, 0x0010f2], - ), - F::from_limbs( - [0x180e0e8b24f12309f239f760b82267, 0xba636d174692ad5a534045625d9514, 0x0058c3], - ), - F::from_limbs( - [0xa595f474d96adbf60dc6079f47dd9a, 0xecefbc8636b585df84c7c43f7a703f, 0x001b29], - ), - F::from_limbs( - [0xc7e8901137ff0153a93b55b4fea0eb, 0xc4a69476d9fc4bb6f34c1c58a0568e, 0x000e7c], - ), - F::from_limbs( - [0xf5bb72eec65cfdac56c4a94b015f16, 0xe2ac9526a34be782e4bbed4937aec4, 0x006570], - ), - F::from_limbs( - [0x72a5c3f51c283524eb6f79660ba729, 0x4cc8ec848f9932f96660e46b8b0362, 0x00548e], - ), - F::from_limbs( - [0x4afe3f0ae233c9db14908599f458d8, 0x5a8a3d18edaf004071a725364d01f1, 0x001f5f], - ), - F::from_limbs( - [0xb69e5da3889e1b2613fb0ba0d0c8b9, 0x48f2bdc1f969a35750fccdbd565adc, 0x0045f4], - ), - F::from_limbs( - [0x0705a55c75bde3d9ec04f35f2f3748, 0x5e606bdb83de8fe2870b3be481aa77, 0x002df9], - ), - F::from_limbs( - [0xeeae11e7bccf3f082cf84eeb77b539, 0xd3cae75d7dcbb02266098876489699, 0x006a92], - ), - F::from_limbs( - [0xcef5f118418cbff7d307b014884ac8, 0xd388423fff7c831771fe812b8f6eb9, 0x00095a], - ), - F::from_limbs( - [0x9edcfa443aea1905a885cb88412fc6, 0x71fcb801d5d5172aa6aa52827f4c0e, 0x00140c], - ), - F::from_limbs( - [0x1ec708bbc371e5fa577a3377bed03b, 0x3556719ba7731c0f315db71f58b945, 0x005fe1], - ), - F::from_limbs( - [0x2c95af5bc18faa930fa010bc171746, 0x7dc1d3176b166ae305e12c0d0f3845, 0x003659], - ), - F::from_limbs( - [0x910e53a43ccc546cf05fee43e8e8bb, 0x299156861231c856d226dd94c8cd0e, 0x003d94], - ), - F::from_limbs( - [0x85a508df2452feef976635fc779c0c, 0x54744d4336448dd7a2cb1fe4cabc60, 0x00509e], - ), - F::from_limbs( - [0x37fefa20da0900106899c9038863f5, 0x52dedc5a4703a562353ce9bd0d48f3, 0x00234f], - ), - F::from_limbs( - [0x2a457ac1b1515e66caf0bfe0dc71bd, 0xde54f97535615e9a245b3b982d893b, 0x007033], - ), - F::from_limbs( - [0x935e883e4d0aa099350f3f1f238e44, 0xc8fe302847e6d49fb3acce09aa7c18, 0x0003b9], - ), - F::from_limbs( - [0xe681ffa04fd14425cd201433440674, 0xde62396f17618541eba544010dc6e2, 0x0031d2], - ), - F::from_limbs( - [0xd722035fae8abada32dfeaccbbf98d, 0xc8f0f02e65e6adf7ec62c5a0ca3e70, 0x00421a], - ), - F::from_limbs( - [0x52dc972de8dd1ae0ef5504d0804371, 0xd7d00aa6d47ea06254fd521a05e75b, 0x0063c3], - ), - F::from_limbs( - [0x6ac76bd2157ee41f10aafa2f7fbc90, 0xcf831ef6a8c992d7830ab787d21df8, 0x001029], - ), - F::from_limbs( - [0x4804de0259a52492093ce6634374ea, 0x74a1cf96403463f289036f16b94858, 0x002037], - ), - F::from_limbs( - [0x759f24fda4b6da6df6c3189cbc8b17, 0x32b15a073d13cf474f049a8b1ebcfb, 0x0053b6], - ), - F::from_limbs( - [0x0b4a6523f47a1ff8e0b04c3b1af356, 0x83b623d916a3ad6c4c7ac3494271a8, 0x005a8d], - ), - F::from_limbs( - [0xb2599ddc09e1df071f4fb2c4e50cab, 0x239d05c466a485cd8b8d46589593ab, 0x001960], - ), - F::from_limbs( - [0x3acd5edbf5700358a7bfe4303c5b1e, 0xb52b913e7460fc8fc271fb692c97c4, 0x0021a2], - ), - F::from_limbs( - [0x82d6a42408ebfba758401acfc3a4e3, 0xf227985f08e736aa15960e38ab6d8f, 0x00524a], - ), - F::from_limbs( - [0x751f4f8dda18c726694b3c0708989b, 0x74e808084266d6dc71af08a18e5f03, 0x000d2f], - ), - F::from_limbs( - [0x4884b372244337d996b4c2f8f76766, 0x326b21953ae15c5d6659010049a650, 0x0066be], - ), - F::from_limbs( - [0x4d9b4898d2ec0030ad1815af2831cb, 0xb9b40807616a9227838f3a3ed300cf, 0x003d4c], - ), - F::from_limbs( - [0x7008ba672b6ffecf52e7e950d7ce36, 0xed9f21961bdda1125478cf63050484, 0x0036a0], - ), - F::from_limbs( - [0x5661caa9b88f7bc99c409c32cbe93c, 0x81febdfe94276a8aad8807a5d7050b, 0x006767], - ), - F::from_limbs( - [0x6742385645cc833663bf62cd3416c5, 0x25546b9ee920c8af2a8001fc010048, 0x000c86], - ), - F::from_limbs( - [0xe1b8db4b0c6ea3ab3dcd74abc0acc5, 0x518f26f7d15431ab14182ee5361144, 0x003309], - ), - F::from_limbs( - [0xdbeb27b4f1ed5b54c2328a543f533c, 0x55c402a5abf4018ec3efdabca1f40e, 0x0040e4], - ), - F::from_limbs( - [0xef2afdb60852031c3f34a887d3c3e1, 0xcb3506e60a81f0394c93a42b5b72e9, 0x00064c], - ), - F::from_limbs( - [0xce790549f609fbe3c0cb56782c3c20, 0xdc1e22b772c643008b7465767c9269, 0x006da0], - ), - F::from_limbs( - [0x8cdb76a42676ccb187cd4b5130698f, 0x41db3bd37280e077b68e7eab756cb8, 0x006959], - ), - F::from_limbs( - [0x30c88c5bd7e5324e7832b3aecf9672, 0x6577edca0ac752c221798af662989b, 0x000a94], - ), - F::from_limbs( - [0xb80be01829aa6e6b4e1dd7a6e41adf, 0x6de1daf8905fb9f70b105865f3b1cf, 0x004c84], - ), - F::from_limbs( - [0x059822e7d4b19094b1e227591be522, 0x39714ea4ece87942ccf7b13be45384, 0x002769], - ), - F::from_limbs( - [0xcad3633089749adf4e63d01af609aa, 0x0be46010a6b28fce2e90dce28a6db3, 0x003d3e], - ), - F::from_limbs( - [0xf2d09fcf74e76420b19c2ee509f657, 0x9b6ec98cd695a36ba9772cbf4d979f, 0x0036af], - ), - F::from_limbs( - [0x3fe56d15f19fd9d3a88f9769d85682, 0xa2628ede060eab8f2d5800a8be3b0f, 0x006281], - ), - F::from_limbs( - [0x7dbe95ea0cbc252c5770679627a97f, 0x04f09abf773987aaaab008f919ca44, 0x00116c], - ), - F::from_limbs( - [0x33b77d2d66205cd6436789acd58a6a, 0x0e51924a73f486c6d515c6dbbd56d8, 0x00661d], - ), - F::from_limbs( - [0x89ec85d2983ba229bc9875532a7597, 0x990197530953ac7302f242c61aae7b, 0x000dd0], - ), - F::from_limbs( - [0xbbd52b782f347dae0408970b4aab1a, 0x678caa916b48f296454a57be9a3dd2, 0x000554], - ), - F::from_limbs( - [0x01ced787cf278151fbf767f4b554e7, 0x3fc67f0c11ff40a392bdb1e33dc781, 0x006e99], - ), - F::from_limbs( - [0x7fe07d8d824b70a6b05f18a33c32b1, 0x4018a4fba9970315f7d6239cfdfbbe, 0x004ea9], - ), - F::from_limbs( - [0x3dc385727c108e594fa0e65cc3cd50, 0x673a84a1d3b13023e031e604da0995, 0x002544], - ), - F::from_limbs( - [0x50bf4dbafd02920d87e416425a1f5b, 0x43b8831183496fc9fedba1ca177ecf, 0x004c47], - ), - F::from_limbs( - [0x6ce4b54501596cf2781be8bda5e0a6, 0x639aa68bf9fec36fd92c67d7c08684, 0x0027a6], - ), - F::from_limbs( - [0x9c92782418d9a6f68d125f81344d2e, 0x3ae417d106a4752a779731a01e141a, 0x0005a4], - ), - F::from_limbs( - [0x21118adbe582580972ed9f7ecbb2d3, 0x6c6f11cc76a3be0f6070d801b9f139, 0x006e49], - ), - F::from_limbs( - [0xa9568098dc13297c139a093efa1190, 0x1f8538db87179f115b32fd34f9e257, 0x0044e7], - ), - F::from_limbs( - [0x144d82672248d583ec65f5c105ee71, 0x87cdf0c1f63094287cd50c6cde22fc, 0x002f06], - ), - F::from_limbs( - [0xdb59a295eea1fad891f7ce48c338da, 0x0bc19af45832cd3e67ec475459da28, 0x001a56], - ), - F::from_limbs( - [0xe24a606a0fba04276e0830b73cc727, 0x9b918ea9251565fb701bc24d7e2b2a, 0x005997], - ), - F::from_limbs( - [0x7cc816a910521c8f7f77012d9d64d2, 0xfd5789c0e146b081e9cf98bbfed9d6, 0x00483a], - ), - F::from_limbs( - [0x40dbec56ee09e2708088fdd2629b2f, 0xa9fb9fdc9c0182b7ee3870e5d92b7d, 0x002bb2], - ), - F::from_limbs( - [0xc356be3d0f029aa409d9ee00585213, 0xb147452598293eb810c81a72553cb7, 0x0025b3], - ), - F::from_limbs( - [0xfa4d44c2ef59645bf62610ffa7adee, 0xf60be477e51ef481c73fef2f82c89b, 0x004e39], - ), - F::from_limbs( - [0xb871097a9f0c6f53f1742ce989b5a2, 0xdd8280effb6326d76b58b9434f6ec5, 0x00686f], - ), - F::from_limbs( - [0x0532f9855f4f8fac0e8bd216764a5f, 0xc9d0a8ad81e50c626caf505e88968e, 0x000b7d], - ), - F::from_limbs( - [0x1a129e137f0039c2fcba24fbaa6740, 0xaf9519ca80d68d67bc688c2a21ffa8, 0x0046ea], - ), - F::from_limbs( - [0xa39164ec7f5bc53d0345da045598c1, 0xf7be0fd2fc71a5d21b9f7d77b605ab, 0x002d02], - ), - F::from_limbs( - [0x077dddb5761a734e2a017e4ffb6836, 0xe1e4f08eb7ec1e23d4338ba1fdbc33, 0x00099a], - ), - F::from_limbs( - [0xb626254a88418bb1d5fe80b00497cb, 0xc56e390ec55c151603d47dffda4920, 0x006a52], - ), - F::from_limbs( - [0xc00f384e56df5ab098af553e858ddc, 0x772639e0f2e0bdf93ce28c12b17e9a, 0x003d4d], - ), - F::from_limbs( - [0xfd94cab1a77ca44f6750a9c17a7225, 0x302cefbc8a6775409b257d8f2686b8, 0x0036a0], - ), - F::from_limbs( - [0xbbcd0457572ea4ba6f047a391e07cd, 0xdb9969605428e20283d330193c8c22, 0x00227d], - ), - F::from_limbs( - [0x01d6fea8a72d5a4590fb84c6e1f834, 0xcbb9c03d291f51375434d9889b7931, 0x00516f], - ), - F::from_limbs( - [0x3d78a715d35e675f5607600ebe8e85, 0x45bcd7037c97ac5bec5d064c7b2fa1, 0x0068c0], - ), - F::from_limbs( - [0x802b5bea2afd97a0a9f89ef141717c, 0x6196529a00b086ddebab03555cd5b2, 0x000b2d], - ), - F::from_limbs( - [0x5255f97b2f5f8a3aab39c40d504e47, 0x3931c4e8a3365aa19c692fd480ceff, 0x0022e9], - ), - F::from_limbs( - [0x6b4e0984cefc74c554c63af2afb1ba, 0x6e2164b4da11d8983b9ed9cd573654, 0x005104], - ), - F::from_limbs( - [0xe8628b87c4717f74298e4f1f6b05b8, 0x86ffd6389f469bbcecee7941985189, 0x006d89], - ), - F::from_limbs( - [0xd541777839ea7f8bd671afe094fa49, 0x20535364de01977ceb1990603fb3c9, 0x000664], - ), - F::from_limbs( - [0xc4b3dde8d99b1da59b819134b83579, 0x3f3b319dd1b9a8cc0754083d8a76de, 0x001476], - ), - F::from_limbs( - [0xf8f0251724c0e15a647e6dcb47ca88, 0x6817f7ffab8e8a6dd0b401644d8e74, 0x005f77], - ), - F::from_limbs( - [0x5e5d72ca14bf355b2c4072b03330aa, 0xfcb9bed9a1d0c039e6a24828a4d111, 0x0044cb], - ), - F::from_limbs( - [0x5f469035e99cc9a4d3bf8c4fcccf57, 0xaa996ac3db7772fff165c179333442, 0x002f21], - ), - F::from_limbs( - [0xa6b76707616830fca70889363d0810, 0x474a16a937608616f4669de6d37aa6, 0x004100], - ), - F::from_limbs( - [0x16ec9bf89cf3ce0358f775c9c2f7f1, 0x600912f445e7ad22e3a16bbb048aad, 0x0032ed], - ), - F::from_limbs( - [0x034ce5f2a0e16cc71a57258e59e205, 0x4a3b69d18144f376ca920c31a41df2, 0x005d4a], - ), - F::from_limbs( - [0xba571d0d5d7a9238e5a8d971a61dfc, 0x5d17bfcbfc033fc30d75fd7033e761, 0x0016a3], - ), - F::from_limbs( - [0x479c06b64c620e54913a5fad66493e, 0xe8eccb401e43ab35fb17c2ef06e1ff, 0x004f0e], - ), - F::from_limbs( - [0x7607fc49b1f9f0ab6ec59f5299b6c3, 0xbe665e5d5f048803dcf046b2d12354, 0x0024de], - ), - F::from_limbs( - [0x8301162f9b026bdf8f0a899f9ee419, 0x8d97e4ea5441615140b6e155e9ab76, 0x001aa6], - ), - F::from_limbs( - [0x3aa2ecd06359932070f57560611be8, 0x19bb44b32906d1e89751284bee59dd, 0x005947], - ), - F::from_limbs( - [0x9c1028848c11d02b0801fe4d03f4b3, 0xddace4e38717b5fc4d667f921f06b3, 0x001110], - ), - F::from_limbs( - [0x2193da7b724a2ed4f7fe00b2fc0b4e, 0xc9a644b9f6307d3d8aa18a0fb8fea0, 0x0062dc], - ), - F::from_limbs( - [0x3288fa993675c6b000ebfccd728a11, 0x3393fe4edec850a6b9493521aaddad, 0x006be2], - ), - F::from_limbs( - [0x8b1b0866c7e6384fff1402328d75f0, 0x73bf2b4e9e7fe2931ebed4802d27a6, 0x00080b], - ), - F::from_limbs( - [0x199a38673d1c784644f6e6d10cdb65, 0x5763a14834a7853a33904d076ea499, 0x0005fe], - ), - F::from_limbs( - [0xa409ca98c13f86b9bb09182ef3249c, 0x4fef885548a0adffa477bc9a6960ba, 0x006def], - ), - F::from_limbs( - [0x50d9ce6be8ab7e9afd17ae1c79b3cc, 0x6f3c81d65abe294532501559ab8009, 0x003e12], - ), - F::from_limbs( - [0x6cca349415b0806502e850e3864c35, 0x3816a7c7228a09f4a5b7f4482c854a, 0x0035db], - ), - F::from_limbs( - [0x2086a26309099ab289450a2c8c785c, 0x78639fbbfa1a19c8f6a5547ef0cb37, 0x005cae], - ), - F::from_limbs( - [0x9d1d609cf552644d76baf4d37387a5, 0x2eef89e1832e1970e162b522e73a1c, 0x00173f], - ), - F::from_limbs( - [0x726a6f11fd5d1e41a26186d0f7d95a, 0x480ded0b0a2522ed236d0d4ec5e8bf, 0x005b39], - ), - F::from_limbs( - [0x4b3993ee00fee0be5d9e782f0826a7, 0x5f453c927323104cb49afc53121c94, 0x0018b4], - ), - F::from_limbs( - [0xac9edb793129a56d2a3526d2c2e46a, 0x40f093ad57bc107ae64b724aae15f9, 0x006831], - ), - F::from_limbs( - [0x11052786cd325992d5cad82d3d1b97, 0x666295f0258c22bef1bc975729ef5a, 0x000bbc], - ), - F::from_limbs( - [0x6a7dd7ea6053089d718125b7898a67, 0xf96ecc6b5153abf178d66922bda5cb, 0x005b3c], - ), - F::from_limbs( - [0x53262b159e08f6628e7ed94876759a, 0xade45d322bf487485f31a07f1a5f88, 0x0018b0], - ), - F::from_limbs( - [0xa04848fde48575abf74fde099c325f, 0x7857f96a44b11675db3747d3d791a7, 0x003395], - ), - F::from_limbs( - [0x1d5bba0219d6895408b020f663cda2, 0x2efb303338971cc3fcd0c1ce0073ac, 0x004058], - ), - F::from_limbs( - [0x69b1ce32ce51fbe4282ad9e2553334, 0x6ea21fc2a195c87adc4b385e8304b6, 0x005bd0], - ), - F::from_limbs( - [0x53f234cd300a031bd7d5251daacccd, 0x38b109dadbb26abefbbcd14355009d, 0x00181d], - ), - F::from_limbs( - [0x5f6c03f0f179646b0b935e5c78f259, 0x287edbd07e2b04b4c968ebc0152690, 0x005995], - ), - F::from_limbs( - [0x5e37ff0f0ce29a94f46ca0a3870da8, 0x7ed44dccff1d2e850e9f1de1c2dec3, 0x001a58], - ), - F::from_limbs( - [0x5ed2cf19172e412e59452c2173c6ea, 0xb895c01840aecfda8e31c5ff001739, 0x005656], - ), - F::from_limbs( - [0x5ed133e6e72dbdd1a6bad2de8c3917, 0xeebd69853c99635f49d643a2d7ee1a, 0x001d96], - ), - F::from_limbs( - [0x9dcb7f92ea6a9b8d444a5beec3aaaf, 0x07e606bceb10c1d6263b3c797138ff, 0x00654d], - ), - F::from_limbs( - [0x1fd8836d13f16372bbb5a3113c5552, 0x9f6d22e092377163b1cccd2866cc54, 0x000ea0], - ), - F::from_limbs( - [0xb9b3a0749e60cb8768c9f875b63680, 0x291981e1a6ffd922ef4010fd623046, 0x003a9e], - ), - F::from_limbs( - [0x03f0628b5ffb33789736068a49c981, 0x7e39a7bbd6485a16e8c7f8a475d50d, 0x00394f], - ), - F::from_limbs( - [0xf2172bc7473892459629b66ba900be, 0xeb28f1112e24ae07a577ed5adb9833, 0x003ec2], - ), - F::from_limbs( - [0xcb8cd738b7236cba69d6489456ff43, 0xbc2a388c4f23853232901c46fc6d1f, 0x00352a], - ), - F::from_limbs( - [0x6c73629eb540ea3f9554aa5ac511e9, 0xba428345abaac34c773123acc36bcc, 0x004a8a], - ), - F::from_limbs( - [0x5130a061491b14c06aab54a53aee18, 0xed10a657d19d6fed60d6e5f5149987, 0x002962], - ), - F::from_limbs( - [0xd2b29f89691c73686d7450c33d5a33, 0x95c67b9ea2efa1729a4994ac329b4c, 0x0057b5], - ), - F::from_limbs( - [0xeaf16376953f8b97928bae3cc2a5ce, 0x118cadfeda5891c73dbe74f5a56a06, 0x001c38], - ), - F::from_limbs( - [0x0da05f62a2205a038764a74650d0c5, 0x264ed896f8869866cb67d02650f974, 0x00192c], - ), - F::from_limbs( - [0xb003a39d5c3ba4fc789b57b9af2f3c, 0x8104510684c19ad30ca0397b870bdf, 0x005ac1], - ), - F::from_limbs( - [0x07f2b8fe1b995c6f51caab160744d9, 0x45b7ef86f69047659707080c8273d8, 0x00724c], - ), - F::from_limbs( - [0xb5b14a01e2c2a290ae3553e9f8bb28, 0x619b3a1686b7ebd44101019555917b, 0x0001a1], - ), - F::from_limbs( - [0xe6a93079ee7cccc934e486ecc125c0, 0x355dce7eaf368f76379c2c28653e10, 0x002031], - ), - F::from_limbs( - [0xd6fad2860fdf3236cb1b78133eda41, 0x71f55b1ece11a3c3a06bdd7972c742, 0x0053bc], - ), - F::from_limbs( - [0xf79fc3d741bf226521696c6179297c, 0x9ae2c216552207600419c3f6115aeb, 0x0063bc], - ), - F::from_limbs( - [0xc6043f28bc9cdc9ade96929e86d685, 0x0c70678728262bd9d3ee45abc6aa67, 0x001031], - ), - F::from_limbs( - [0xc4ded9ffbba24056e5deedda27244b, 0x8f8601768ac3bbb9b61429944d0c24, 0x00213e], - ), - F::from_limbs( - [0xf8c5290042b9bea91a211125d8dbb6, 0x17cd2826f284778021f3e00d8af92e, 0x0052af], - ), - F::from_limbs( - [0xf518b492651ba347ad66c74d7bca64, 0x5064e14b100a32e73c0848a259cce0, 0x004409], - ), - F::from_limbs( - [0xc88b4e6d99405bb8529937b284359d, 0x56ee48526d3e00529bffc0ff7e3872, 0x002fe4], - ), - F::from_limbs( - [0x31564fda741ade70b774835f62ee3c, 0x1ce4194322964607884498bbcb8c71, 0x001e85], - ), - F::from_limbs( - [0x8c4db3258a41208f488b7ba09d11c5, 0x8a6f105a5ab1ed324fc370e60c78e2, 0x005568], - ), - F::from_limbs( - [0xddec933364680fd1c931b0f7188c6e, 0x2e92d9ce55819bcfd2af02a07aa006, 0x000456], - ), - F::from_limbs( - [0xdfb76fcc99f3ef2e36ce4e08e77393, 0x78c04fcf27c6976a055907015d654c, 0x006f97], - ), - F::from_limbs( - [0x960fc9c499955198e1e535f0666860, 0x5f24e19b3eee4df7efe5f71e0abf44, 0x0054a5], - ), - F::from_limbs( - [0x2794393b64c6ad671e1ac90f9997a1, 0x482e48023e59e541e8221283cd460f, 0x001f48], - ), - F::from_limbs( - [0x1bc63ba1f12ba86a96e7321bc04210, 0x5ec81887c4f43e877567664189754e, 0x0045df], - ), - F::from_limbs( - [0xa1ddc75e0d3056956918cce43fbdf1, 0x488b1115b853f4b262a0a3604e9005, 0x002e0e], - ), - F::from_limbs( - [0x7c81ae1d87699d225d35c86477d58b, 0x400e38958dc7f5783bcc2a7ca18b18, 0x004293], - ), - F::from_limbs( - [0x412254e276f261dda2ca369b882a76, 0x6744f107ef803dc19c3bdf25367a3b, 0x00315a], - ), - F::from_limbs( - [0x2611cec67dd54be518be27e7093f4e, 0x9743b4e0d46958698576f11c4a2e78, 0x0011ea], - ), - F::from_limbs( - [0x979234398086b31ae741d718f6c0b3, 0x100f74bca8dedad0529118858dd6db, 0x006203], - ), - F::from_limbs( - [0x0223751b720a0cf2dab1c8c4a189ff, 0xdcb7690555b9127b1606420ade2a86, 0x002ac9], - ), - F::from_limbs( - [0xbb808de48c51f20d254e363b5e7602, 0xca9bc098278f20bec201c796f9dacd, 0x004923], - ), - F::from_limbs( - [0xa5dd527cd71fb7976ac7f5f6c72a88, 0x6117fe37a234a60a47cec5cb1a85e6, 0x001f1c], - ), - F::from_limbs( - [0x17c6b083273c47689538090938d579, 0x463b2b65db138d2f903943d6bd7f6d, 0x0054d1], - ), - F::from_limbs( - [0x8b12057546a348bd571c059c104014, 0xb61776734f89d0fc55508e07bb7098, 0x00699c], - ), - F::from_limbs( - [0x3291fd8ab7b8b642a8e3f963efbfed, 0xf13bb32a2dbe623d82b77b9a1c94bb, 0x000a50], - ), - F::from_limbs( - [0x9e8b72db6f1e2653fd29142d3819a2, 0xd3f9439750aa38a37afc68b0fafae2, 0x0054a1], - ), - F::from_limbs( - [0x1f1890248f3dd8ac02d6ead2c7e65f, 0xd359e6062c9dfa965d0ba0f0dd0a71, 0x001f4b], - ), - F::from_limbs( - [0xd7c1a278ec608700a9be0299817ca4, 0x55532c1abbaf9ef11dfefbb02e5e62, 0x0007a0], - ), - F::from_limbs( - [0xe5e2608711fb77ff5641fc667e835d, 0x51fffd82c1989448ba090df1a9a6f0, 0x006c4d], - ), - F::from_limbs( - [0x1fd547be4b6ce2b275fb29418f4c5d, 0x428c158ed643f84e55b954bddacbef, 0x003076], - ), - F::from_limbs( - [0x9dcebb41b2ef1c4d8a04d5be70b3a4, 0x64c7140ea7043aeb824eb4e3fd3964, 0x004377], - ), - F::from_limbs( - [0xc86ad30700ce774a3b8d2e0f596020, 0xba2fd3948857eb766ca2207244f211, 0x006a3e], - ), - F::from_limbs( - [0xf5392ff8fd8d87b5c472d0f0a69fe1, 0xed235608f4f047c36b65e92f931341, 0x0009ae], - ), - F::from_limbs( - [0x855177336fb60fdca2ca5cd99ce3c3, 0xe0d6b37e59679e533b9248389fa8c1, 0x00324a], - ), - F::from_limbs( - [0x38528bcc8ea5ef235d35a226631c3e, 0xc67c761f23e094e69c75c169385c92, 0x0041a2], - ), - F::from_limbs( - [0xa947be6ae0adca67112eaf34e9f6be, 0x377e8099fa46465283e47a582918fe, 0x001b23], - ), - F::from_limbs( - [0x145c44951dae3498eed14fcb160943, 0x6fd4a9038301ece754238f49aeec55, 0x0058ca], - ), - F::from_limbs( - [0x1d79c870ba25b6c9e1715651f94edb, 0xe6471ba2107df5f9703e00bf2460a7, 0x002bbe], - ), - F::from_limbs( - [0xa02a3a8f443648361e8ea8ae06b126, 0xc10c0dfb6cca3d4067ca08e2b3a4ac, 0x00482e], - ), - F::from_limbs( - [0x180a97607b7b75ee0a9b7720fe18ea, 0x61caaccddcb331fc82977997ab4493, 0x003441], - ), - F::from_limbs( - [0xa5996b9f82e08911f56487df01e717, 0x45887ccfa095013d5570900a2cc0c0, 0x003fac], - ), - F::from_limbs( - [0x7a4cdd8c345f311415ae6f648ca4c4, 0x11970ddf05c3476edefa503afd9c0a, 0x0017ae], - ), - F::from_limbs( - [0x43572573c9fccdebea518f9b735b3d, 0x95bc1bbe7784ebcaf90db966da6949, 0x005c3f], - ), - F::from_limbs( - [0x2431336dffbd3ff302032d443d58d3, 0xda94c4d882d868bd470adc88c0ecd8, 0x0026c2], - ), - F::from_limbs( - [0x9972cf91fe9ebf0cfdfcd1bbc2a72e, 0xccbe64c4fa6fca7c90fd2d1917187b, 0x004d2a], - ), - F::from_limbs( - [0x8b73877a32f62bdfe96721a6cd7b3e, 0x0231915bdd4603e21d77f00f7c14ae, 0x004f5b], - ), - F::from_limbs( - [0x32307b85cb65d3201698dd593284c3, 0xa5219841a0022f57ba9019925bf0a5, 0x002492], - ), - F::from_limbs( - [0xe566e43fbfb3adcaa4621ab46a4d30, 0xe4c6b3243876efd27177d6ce56ad87, 0x00583a], - ), - F::from_limbs( - [0xd83d1ec03ea851355b9de44b95b2d1, 0xc28c767944d14367669032d38157cb, 0x001bb2], - ), - F::from_limbs( - [0x7e23dd40142c5f9422d2c34101124c, 0x9b8792f6512f934f79299c50142c3d, 0x0024ea], - ), - F::from_limbs( - [0x3f8025bfea2f9f6bdd2d3bbefeedb5, 0x0bcb96a72c189fea5ede6d51c3d916, 0x004f03], - ), - F::from_limbs( - [0xec9c0406a08f265cce2c30333b187f, 0x6ca4e92bd0ad946fec5826cc03719d, 0x000206], - ), - F::from_limbs( - [0xd107fef95dccd8a331d3ceccc4e782, 0x3aae4071ac9a9ec9ebafe2d5d493b5, 0x0071e7], - ), - F::from_limbs( - [0x7f3449b8bd93686beadab96405ae3a, 0x1ab61fc3015bf5412a443f8e57f148, 0x003965], - ), - F::from_limbs( - [0x3e6fb94740c896941525459bfa51c7, 0x8c9d09da7bec3df8adc3ca1380140b, 0x003a88], - ), - F::from_limbs( - [0xd9c57133e56dfad3ea280c5f782f2b, 0xead5a7d140e1e3fff1c4cd5cae127b, 0x0024c2], - ), - F::from_limbs( - [0xe3de91cc18ee042c15d7f2a087d0d6, 0xbc7d81cc3c664f39e6433c4529f2d7, 0x004f2a], - ), - F::from_limbs( - [0xa7fbcbd8c1ce86f75167878ef4c2b7, 0x118566730cb78c4efcd85ee6395889, 0x007110], - ), - F::from_limbs( - [0x15a837273c8d7808ae9877710b3d4a, 0x95cdc32a7090a6eadb2faabb9eacca, 0x0002dd], - ), - F::from_limbs( - [0x1ffcba3c12bc2b9ee90b3d11c2dd21, 0x102ef837861bde2c7551f9dff19445, 0x0006b7], - ), - F::from_limbs( - [0x9da748c3eb9fd36116f4c1ee3d22e0, 0x97243165f72c550d62b60fc1e6710e, 0x006d36], - ), - F::from_limbs( - [0xd017e31cf0cb08eef8f30684ce9026, 0x8d3c8185d7d529293c2d54cc37eba5, 0x00519e], - ), - F::from_limbs( - [0xed8c1fe30d90f611070cf87b316fdb, 0x1a16a817a5730a109bdab4d5a019ad, 0x00224f], - ), - F::from_limbs( - [0x7a986565c2a5d1c9be282a115f3af5, 0x9b7c85ec9ffed0759691f8350bcf77, 0x002dfe], - ), - F::from_limbs( - [0x430b9d9a3bb62d3641d7d4eea0c50c, 0x0bd6a3b0dd4962c44176116ccc35dc, 0x0045ef], - ), - F::from_limbs( - [0xa9e37a3c78a6f03c5e8cd07ac27967, 0xa77bf4482596c40e6ea7ec15f1e470, 0x006957], - ), - F::from_limbs( - [0x13c088c385b50ec3a1732e853d869a, 0xffd7355557b16f2b69601d8be620e3, 0x000a95], - ), - F::from_limbs( - [0xda1d1c2ae95f6ed46bc78329689a4e, 0xd3feed71abf08747974362d7998504, 0x005f55], - ), - F::from_limbs( - [0xe386e6d514fc902b94387bd69765b3, 0xd3543c2bd157abf240c4a6ca3e804e, 0x001497], - ), - F::from_limbs( - [0xdc7f318ce3896129a67c58c11af270, 0x33b32d96101f50bdf12f11ba2ba3f6, 0x004407], - ), - F::from_limbs( - [0xe124d1731ad29dd65983a63ee50d91, 0x739ffc076d28e27be6d8f7e7ac615c, 0x002fe6], - ), - F::from_limbs( - [0x277cbb3e7a777eeeb008d78b019434, 0xfbfe7fba4f67c98d9a4ba421a74a5e, 0x006892], - ), - F::from_limbs( - [0x962747c183e480114ff72774fe6bcd, 0xab54a9e32de069ac3dbc658030baf5, 0x000b5a], - ), - F::from_limbs( - [0x20997b1fdd66bd53ec18ed560e5c0c, 0x74a3e7e4ae661be49858d07f3e273d, 0x000bdf], - ), - F::from_limbs( - [0x9d0a87e020f541ac13e711a9f1a3f5, 0x32af41b8cee217553faf392299de16, 0x00680e], - ), - F::from_limbs( - [0xe792ae1b302effd0b0f21e5dd18de6, 0x1d8cfff841ef8c787035f36a072656, 0x0051d1], - ), - F::from_limbs( - [0xd61154e4ce2cff2f4f0de0a22e721b, 0x89c629a53b58a6c167d21637d0defc, 0x00221c], - ), - F::from_limbs( - [0x1a01cc28fefe11f643be94ebcf7272, 0x3a3286fa30c54b3fe9256008c92553, 0x00491c], - ), - F::from_limbs( - [0xa3a236d6ff5ded09bc416a14308d8f, 0x6d20a2a34c82e7f9eee2a9990ee000, 0x002ad1], - ), - F::from_limbs( - [0x3fdeea97c6fe196470728429de50e2, 0x0a1474f2943817443ffa79edc2405a, 0x003edc], - ), - F::from_limbs( - [0x7dc51868375de59b8f8d7ad621af1f, 0x9d3eb4aae9101bf5980d8fb415c4f9, 0x003511], - ), - F::from_limbs( - [0xeaa5fd91eb8ad60697528e66468f8b, 0xf542a4cb0e56a928854e7f46c10779, 0x0037ca], - ), - F::from_limbs( - [0xd2fe056e12d128f968ad7099b97076, 0xb21084d26ef18a1152b98a5b16fdd9, 0x003c22], - ), - F::from_limbs( - [0x13924feb1eeca0f1045bd496c219a4, 0x1bdcc7a762a7a1e2d45135ad7c1cf7, 0x000303], - ), - F::from_limbs( - [0xaa11b314df6f5e0efba42a693de65d, 0x8b7661f61aa0915703b6d3f45be85c, 0x0070ea], - ), - F::from_limbs( - [0x4daa4a99dbb5b03fbacc5e6dc71317, 0x8eb4ab2df85240fdd323261f47b06d, 0x002bbf], - ), - F::from_limbs( - [0x6ff9b86622a64ec04533a09238ecea, 0x189e7e6f84f5f23c04e4e3829054e6, 0x00482e], - ), - F::from_limbs( - [0x6af2a3df55476564cabfb80ccdf965, 0xa8bb5dc5e43d9aaa551e3cb295f125, 0x006bfb], - ), - F::from_limbs( - [0x52b15f20a914999b354046f332069c, 0xfe97cbd7990a988f82e9ccef42142e, 0x0007f1], - ), - F::from_limbs( - [0x57cb9f5410cdb13e4972bf66f482c6, 0x0a0c78d1f4e98c45d4e61e2afaf2e3, 0x006534], - ), - F::from_limbs( - [0x65d863abed8e4dc1b68d3f990b7d3b, 0x9d46b0cb885ea6f40321eb76dd1270, 0x000eb9], - ), - F::from_limbs( - [0x47df7ab3dcb27be44ecf3b78cfad97, 0x5daa7c9b91da67e2903db4b2328356, 0x000cb4], - ), - F::from_limbs( - [0x75c4884c21a9831bb130c38730526a, 0x49a8ad01eb6dcb5747ca54efa581fd, 0x006739], - ), - F::from_limbs( - [0x335495b3e381a61803b5a2380d0d30, 0xdc57672d00970d536c25c56fe7a60f, 0x0021d1], - ), - F::from_limbs( - [0x8a4f6d4c1ada58e7fc4a5cc7f2f2d1, 0xcafbc2707cb125e66be24431f05f44, 0x00521b], - ), - F::from_limbs( - [0xb619876811f53367d96ac4dec2a7c5, 0x205c599f30a57bf990ec45bb4a8b69, 0x003ef1], - ), - F::from_limbs( - [0x078a7b97ec66cb9826953a213d583c, 0x86f6cffe4ca2b740471bc3e68d79ea, 0x0034fc], - ), - F::from_limbs( - [0x41e2dc3cbcaa821d94f28bd2c67835, 0x1f70aeb2ebcd2b0325dad02c36de2e, 0x0014b9], - ), - F::from_limbs( - [0x7bc126c341b17ce26b0d732d3987cc, 0x87e27aea917b0836b22d3975a12725, 0x005f34], - ), - F::from_limbs( - [0x4afcc358f070656798b57cfe3321aa, 0xf69b92ab6fc454e75abe206844831d, 0x001654], - ), - F::from_limbs( - [0x72a73fa70deb9998674a8201ccde57, 0xb0b796f20d83de527d49e939938236, 0x005d98], - ), - F::from_limbs( - [0xb646d5a9ae7de4fb27d64d21924534, 0x29fc62fee1ef3730c5466a640457fe, 0x003c13], - ), - F::from_limbs( - [0x075d2d564fde1a04d829b1de6dbacd, 0x7d56c69e9b58fc0912c19f3dd3ad55, 0x0037da], - ), - F::from_limbs( - [0x89d821e1ae06b63c3d590cd42f742e, 0x63ad8b42d73f52437581fc31b4cb3b, 0x0045cb], - ), - F::from_limbs( - [0x33cbe11e505548c3c2a6f22bd08bd3, 0x43a59e5aa608e0f662860d70233a18, 0x002e22], - ), - F::from_limbs( - [0xd7c6c5de7c9c7598942eff1093543f, 0x475a4ded008f25944c39b09897e604, 0x006e29], - ), - F::from_limbs( - [0xe5dd3d2181bf89676bd0ffef6cabc2, 0x5ff8dbb07cb90da58bce5909401f4e, 0x0005c4], - ), - F::from_limbs( - [0xac5823be4c981f8af00971a8493ef2, 0x1d363d4b2f15805a9b50ec0d2d83c6, 0x003175], - ), - F::from_limbs( - [0x114bdf41b1c3df750ff68d57b6c10f, 0x8a1cec524e32b2df3cb71d94aa818d, 0x004278], - ), - F::from_limbs( - [0x9f60bd799619a78b235e378dc9fa7c, 0x81e948ae5bc5fe101b8c580f1b2242, 0x0067b0], - ), - F::from_limbs( - [0x1e43458668425774dca1c772360585, 0x2569e0ef21823529bc7bb192bce311, 0x000c3d], - ), - F::from_limbs( - [0xee8492ee3da22ff3e3e1962f75a6b8, 0x5dd7ff6f5999d3d22736d22e5d8107, 0x0073d3], - ), - F::from_limbs( - [0xcf1f7011c0b9cf0c1c1e68d08a5949, 0x497b2a2e23ae5f67b0d137737a844b, 0x00001a], - ), - F::from_limbs( - [0xcec740fed7840e6dbad9a23e72f81c, 0xb9a5d59ea6535f2fce20817a78d7c3, 0x004785], - ), - F::from_limbs( - [0xeedcc20126d7f09245265cc18d07e5, 0xedad53fed6f4d40a09e788275f2d8f, 0x002c67], - ), - F::from_limbs( - [0x069ac76165652518b66c7d8e84b7fb, 0x6824377d54128a64cca9517059cf6b, 0x0033f1], - ), - F::from_limbs( - [0xb7093b9e98f6d9e7499381717b4806, 0x3f2ef2202935a8d50b5eb8317e35e8, 0x003ffc], - ), - F::from_limbs( - [0x0ecd974f2a3b506efed909666fe227, 0x79afbe389bf399a8cb100ba938f0ea, 0x005eac], - ), - F::from_limbs( - [0xaed66bb0d420ae910126f599901dda, 0x2da36b64e15499910cf7fdf89f1469, 0x001541], - ), - F::from_limbs( - [0x010631e01cbc9f572cb84cf2c5ba09, 0x861b644b42c375aa55f89169d7ad93, 0x005b59], - ), - F::from_limbs( - [0xbc9dd11fe19f5fa8d347b20d3a45f8, 0x2137c5523a84bd8f820f78380057c0, 0x001894], - ), - F::from_limbs( - [0x036aeea430a057753ed7c94fb0eeb9, 0x421b969856edaeada54c5497aad2cf, 0x002aa4], - ), - F::from_limbs( - [0xba39145bcdbba78ac12835b04f1148, 0x65379305265a848c32bbb50a2d3284, 0x004949], - ), - F::from_limbs( - [0x27f1e0971010d57a3c81696a211fdf, 0xa91f129e2638b0ee8a91eb8b9e25cb, 0x0065f1], - ), - F::from_limbs( - [0x95b22268ee4b2985c37e9595dee022, 0xfe3416ff570f824b4d761e1639df88, 0x000dfb], - ), - F::from_limbs( - [0xb6b627c983a9d2e73458ac79b074ee, 0x26f9a1f2fb63a902b699f27a42bda3, 0x0066ae], - ), - F::from_limbs( - [0x06eddb367ab22c18cba752864f8b13, 0x805987aa81e48a37216e17279547b0, 0x000d3f], - ), - F::from_limbs( - [0x2345c5177d051a336503a91e97e5d7, 0xe82a9d82d223e607676361fe30e365, 0x002b64], - ), - F::from_limbs( - [0x9a5e3de88156e4cc9afc55e1681a2a, 0xbf288c1aab244d3270a4a7a3a721ee, 0x004888], - ), - F::from_limbs( - [0xb5d08955ff9e20e0480ab0fd9a31fa, 0x67c5369459aa472ce39066e706af49, 0x005bf5], - ), - F::from_limbs( - [0x07d379a9febdde1fb7f54e0265ce07, 0x3f8df309239dec0cf477a2bad1560a, 0x0017f8], - ), - F::from_limbs( - [0x21a614ccdb8d0356d6ec5ed1e118ad, 0x4cbaa9097311544f0b99685cfd7fc2, 0x003715], - ), - F::from_limbs( - [0x9bfdee3322cefba92913a02e1ee754, 0x5a9880940a36deeacc6ea144da8591, 0x003cd8], - ), - F::from_limbs( - [0x4004660ebbfc8136ef495f9fe8668d, 0xd2acd3b1314f047d8c5e8e943d7b0f, 0x00158c], - ), - F::from_limbs( - [0x7d9f9cf1425f7dc910b69f60179974, 0xd4a655ec4bf92ebc4ba97b0d9a8a44, 0x005e60], - ), - F::from_limbs( - [0xef7cb95c169e236f344925d273570b, 0xed4d89397e65a1e265fc1fb2d6cb41, 0x0039d6], - ), - F::from_limbs( - [0xce2749a3e7bddb90cbb6d92d8ca8f6, 0xba05a063fee29157720be9ef013a11, 0x003a16], - ), - F::from_limbs( - [0xbfd8fb21c9bc312aafa84a8f32c4c3, 0x725ed9887c0d76a737cfb9ec903271, 0x006fd9], - ), - F::from_limbs( - [0xfdcb07de349fcdd55057b470cd3b3e, 0x34f45015013abc92a0384fb547d2e1, 0x000414], - ), - F::from_limbs( - [0xac5555ad914c92614850e921b50b55, 0x888e1bc2c0f01f01546fd8631e66e8, 0x0027fc], - ), - F::from_limbs( - [0x114ead526d0f6c9eb7af15de4af4ac, 0x1ec50ddabc5814388398313eb99e6b, 0x004bf1], - ), - F::from_limbs( - [0x54fbc08c604c0bc827edff9f54ca63, 0xdddc6facd3a427840b4f6a4b3ffe3c, 0x0000cc], - ), - F::from_limbs( - [0x68a842739e0ff337d811ff60ab359e, 0xc976b9f0a9a40bb5ccb89f56980717, 0x007320], - ), - F::from_limbs( - [0xf4f876d5d1189994dd945218bdbbc2, 0xfb376ec72a786796c6567f5b161232, 0x005e8f], - ), - F::from_limbs( - [0xc8ab8c2a2d43656b226bace742443f, 0xac1bbad652cfcba311b18a46c1f320, 0x00155d], - ), - F::from_limbs( - [0x33fc05de37b96a5c092cddae2df4ca, 0x946abc676c5ed913df0b62773d4fbd, 0x000822], - ), - F::from_limbs( - [0x89a7fd21c6a294a3f6d32151d20b37, 0x12e86d3610e95a25f8fca72a9ab596, 0x006bcb], - ), - F::from_limbs( - [0x9d80b5ada11a750907a4e8b7d58e6a, 0x3c12226705777b23957d3889bcbf4d, 0x005b5e], - ), - F::from_limbs( - [0x20234d525d4189f6f85b16482a7197, 0x6b41073677d0b816428ad1181b4606, 0x00188f], - ), - F::from_limbs( - [0xdeb374606e7481ab9cb369c352cef9, 0x386f0661f1a7f25ded5a7525beba19, 0x0030c6], - ), - F::from_limbs( - [0xdef08e9f8fe77d54634c953cad3108, 0x6ee4233b8ba040dbeaad947c194b39, 0x004327], - ), - F::from_limbs( - [0x5b1a2164b6dd1896e6c704e507a68c, 0xa11049970467d95853e14bf970d3fc, 0x00736a], - ), - F::from_limbs( - [0x6289e19b477ee6691938fa1af85975, 0x0642e00678e059e18426bda8673157, 0x000083], - ), - F::from_limbs( - [0xa0c3b85cc1625c18889dbb4c8fc93f, 0x554ad434a3a77303d14549438829dd, 0x002db8], - ), - F::from_limbs( - [0x1ce04aa33cf9a2e7776243b37036c2, 0x52085568d9a0c03606c2c05e4fdb76, 0x004635], - ), - F::from_limbs( - [0x495a3f68e907e71bb3e6377c8ca828, 0x42dcd31ae38aaeeb020aab9a427042, 0x00136d], - ), - F::from_limbs( - [0x7449c397155417e44c19c7837357d9, 0x6476568299bd844ed5fd5e07959511, 0x006080], - ), - F::from_limbs( - [0x03fca33ae80a7fc83b37a3b9e12e68, 0x42747c135aee51c1f421f069545a96, 0x0016f8], - ), - F::from_limbs( - [0xb9a75fc516517f37c4c85b461ed199, 0x64dead8a2259e177e3e6193883aabd, 0x005cf5], - ), - F::from_limbs( - [0x2e14681c99205c3efbab2e58a9a902, 0xd98628e0476857354101f90fd89fc1, 0x002975], - ), - F::from_limbs( - [0x8f8f9ae3653ba2c10454d0a75656ff, 0xcdcd00bd35dfdc0497061091ff6592, 0x004a77], - ), - F::from_limbs( - [0x8b8205eb6bd64213c2c46305798d57, 0xc8a83119f25dcd4785621a77f02003, 0x0029a8], - ), - F::from_limbs( - [0x3221fd149285bcec3d3b9bfa8672aa, 0xdeaaf8838aea65f252a5ef29e7e550, 0x004a44], - ), - F::from_limbs( - [0x3a7975240c453467f53af052532623, 0x65af92d4f70159b29ee57bf65f7f96, 0x00622b], - ), - F::from_limbs( - [0x832a8ddbf216ca980ac50eadacd9de, 0x41a396c88646d98739228dab7885bd, 0x0011c2], - ), - F::from_limbs( - [0x63e200e9d8e2e5305f74f884460d5a, 0xf96b57d1fb5374dfde2f880fa03f19, 0x0023a8], - ), - F::from_limbs( - [0x59c20216257919cfa08b067bb9f2a7, 0xade7d1cb81f4be59f9d8819237c63a, 0x005044], - ), - F::from_limbs( - [0xe6f3a7aa7aa027d5ef58fc555a6545, 0xc3a26d8d2d0b63363c75ac7b61fa06, 0x001efe], - ), - F::from_limbs( - [0xd6b05b5583bbd72a10a702aaa59abc, 0xe3b0bc10503cd0039b925d26760b4c, 0x0054ee], - ), - F::from_limbs( - [0x8cc4e59271bc254675e44de9acb089, 0x90622d1b33952336df41aa60d8fd88, 0x002a16], - ), - F::from_limbs( - [0x30df1d6d8c9fd9b98a1bb116534f78, 0x16f0fc8249b31002f8c65f40ff07cb, 0x0049d7], - ), - F::from_limbs( - [0x5a4984bd3033326a314c573c060e79, 0x4308610110d950309e5d6881371a44, 0x00251f], - ), - F::from_limbs( - [0x635a7e42ce28cc95ceb3a7c3f9f188, 0x644ac89c6c6ee30939aaa120a0eb0f, 0x004ece], - ), - F::from_limbs( - [0x6261dae436c20e1ae655f9c67cb4ee, 0x22db31ab8d36fc199e379693433fef, 0x00590d], - ), - F::from_limbs( - [0x5b42281bc799f0e519aa0539834b13, 0x8477f7f1f011372039d0730e94c564, 0x001ae0], - ), - F::from_limbs( - [0x97df7b82540d7f520fa375ce78b879, 0xd257d52cc247f82e1823a6a0a604df, 0x0013e4], - ), - F::from_limbs( - [0x25c4877daa4e7fadf05c8931874788, 0xd4fb5470bb003b0bbfe46301320074, 0x006008], - ), - F::from_limbs( - [0x27e28d07b063a01ddcc828594b2606, 0x18800771dd7f441b5c5cba7e08c60a, 0x006e7a], - ), - F::from_limbs( - [0x95c175f84df85ee22337d6a6b4d9fb, 0x8ed3222b9fc8ef1e7bab4f23cf3f49, 0x000573], - ), - F::from_limbs( - [0x122a6bda001d781a1d628b12064a8f, 0xbef1ee380b4c3884583970d8ed1f28, 0x000d69], - ), - F::from_limbs( - [0xab799725fe3e86e5e29d73edf9b572, 0xe8613b6571fbfab57fce98c8eae62b, 0x006683], - ), - F::from_limbs( - [0x4109d826db2ff20301669f731697cb, 0xefe5327bd2b34713d04cbf2d404699, 0x005999], - ), - F::from_limbs( - [0x7c9a2ad9232c0cfcfe995f8ce96836, 0xb76df721aa94ec2607bb4a7497beba, 0x001a53], - ), - F::from_limbs( - [0x279b87d2e6b387fcf5fe3b045dd181, 0x1fd88f51bc49ee62c37382b0353690, 0x004f16], - ), - F::from_limbs( - [0x96087b2d17a877030a01c3fba22e80, 0x877a9a4bc0fe44d7149486f1a2cec3, 0x0024d7], - ), - F::from_limbs( - [0xb5d2af6411c8553712b61b70f50fdc, 0xfef871d9d6648a833323701f1e4282, 0x003dba], - ), - F::from_limbs( - [0x07d1539bec93a9c8ed49e38f0af025, 0xa85ab7c3a6e3a8b6a4e49982b9c2d1, 0x003632], - ), - F::from_limbs( - [0x15c80f017c9aa2a069d1dc9b7042bc, 0xa5269bf2095fdaa09ca8fc7421e5f7, 0x0019e0], - ), - F::from_limbs( - [0xa7dbf3fe81c15c5f962e22648fbd45, 0x022c8dab73e858993b5f0d2db61f5c, 0x005a0d], - ), - F::from_limbs( - [0x62db18feb3e506f88c9f388c0677df, 0x3b9eaedc5bb79b6f2492431540cb08, 0x005385], - ), - F::from_limbs( - [0x5ac8ea014a76f8077360c673f98822, 0x6bb47ac1219097cab375c68c973a4b, 0x002068], - ), - F::from_limbs( - [0x655490bf2eb5c842ba9cf6eeeeae9b, 0xd2474b10f54a9e3e5c6ba11db18f5c, 0x003d7f], - ), - F::from_limbs( - [0x584f7240cfa636bd45630811115166, 0xd50bde8c87fd94fb7b9c68842675f7, 0x00366d], - ), - F::from_limbs( - [0xdbd2559a884245d72951864d8fa8da, 0x1375b8c0af7b737efcd5f01ebdb95c, 0x001fb6], - ), - F::from_limbs( - [0xe1d1ad657619b928d6ae78b2705727, 0x93dd70dccdccbfbadb3219831a4bf6, 0x005437], - ), - F::from_limbs( - [0x5879432fea7a51222aedd803cfa5cb, 0x4886f803ad1dad27b4014dedfaed14, 0x001b15], - ), - F::from_limbs( - [0x652abfd013e1adddd51226fc305a36, 0x5ecc3199d02a86122406bbb3dd183f, 0x0058d8], - ), - F::from_limbs( - [0xc99defc2a29159bca5d0ce219b4711, 0x7214004ab09d69632374d00f8a2e91, 0x001737], - ), - F::from_limbs( - [0xf406133d5bcaa5435a2f30de64b8f0, 0x353f2952ccaac9d6b49339924dd6c1, 0x005cb6], - ), - F::from_limbs( - [0x4901bbd26428fd3608266993cc1060, 0xf73cd3a330df9a39086a6948da8562, 0x004f39], - ), - F::from_limbs( - [0x74a2472d9a3301c9f7d9956c33efa1, 0xb01655fa4c689900cf9da058fd7ff1, 0x0024b3], - ), - F::from_limbs( - [0x077d669930bd57b515ba906dbfc129, 0x63cbfdc3672250f2476c3902b234c3, 0x0025eb], - ), - F::from_limbs( - [0xb6269c66cd9ea74aea456e92403ed8, 0x43872bda1625e247909bd09f25d090, 0x004e02], - ), - F::from_limbs( - [0x63a3ef0a0dc0eda56e5338c1cb228f, 0x4dcd2085462924021dd09c3abc78e7, 0x003d7c], - ), - F::from_limbs( - [0x5a0013f5f09b115a91acc63e34dd72, 0x59860918371f0f37ba376d671b8c6c, 0x003671], - ), - F::from_limbs( - [0x17f78b09396083ed9be33e30f62aaa, 0xb650aa0b473d0bd9e6a77fb9d5d6ca, 0x007369], - ), - F::from_limbs( - [0xa5ac77f6c4fb7b12641cc0cf09d557, 0xf1027f92360b275ff16089e8022e89, 0x000083], - ), - F::from_limbs( - [0xb3ac610f977e33a5d11204dfbed99d, 0xbb4b42cf1f3a9b0feb4704453bb48b, 0x0046df], - ), - F::from_limbs( - [0x09f7a1f066ddcb5a2eedfa20412664, 0xec07e6ce5e0d9829ecc1055c9c50c8, 0x002d0d], - ), - F::from_limbs( - [0x55ad625c181f556065bcd7a01c30f2, 0x781a7c2239ae887a36503010401e36, 0x004f5b], - ), - F::from_limbs( - [0x67f6a0a3e63ca99f9a43275fe3cf0f, 0x2f38ad7b4399aabfa1b7d99197e71d, 0x002492], - ), - F::from_limbs( - [0x41edb4801671b387553452e7d61777, 0xd29ba4c63ee76548d5a502b249e7f1, 0x006dc9], - ), - F::from_limbs( - [0x7bb64e7fe7ea4b78aacbac1829e88a, 0xd4b784d73e60cdf1026306ef8e1d62, 0x000623], - ), - F::from_limbs( - [0xc3fa6b12b3b74ec8b70acd9cf0d865, 0x2c1755de706dc08e3aa03315ca7a63, 0x003b64], - ), - F::from_limbs( - [0xf9a997ed4aa4b03748f531630f279c, 0x7b3bd3bf0cda72ab9d67d68c0d8aef, 0x003889], - ), - F::from_limbs( - [0xef690241dfa3963ce8fa61277fed1a, 0x4b9f0b721eb1bf8908719fe1ec6949, 0x005e90], - ), - F::from_limbs( - [0xce3b00be1eb868c317059dd88012e7, 0x5bb41e2b5e9673b0cf9669bfeb9c09, 0x00155d], - ), - F::from_limbs( - [0xe791c9632c5ea306ce63b513ad4ce0, 0xe3baa6b4f02c0689adb2f9082fb65f, 0x004e36], - ), - F::from_limbs( - [0xd612399cd1fd5bf9319c49ec52b321, 0xc39882e88d1c2cb02a551099a84ef3, 0x0025b6], - ), - F::from_limbs( - [0x0cde3a17cbf71e5f622b1f50d9fdd2, 0x2cf1d0e1dadb041561a5e218abee3e, 0x002002], - ), - F::from_limbs( - [0xb0c5c8e83264e0a09dd4dfaf26022f, 0x7a6158bba26d2f24766227892c1715, 0x0053eb], - ), - F::from_limbs( - [0x537e43d8e58b2372f85bc98bc40e5a, 0xeaa7d4663a5035d056852237c9d923, 0x002481], - ), - F::from_limbs( - [0x6a25bf2718d0db8d07a435743bf1a7, 0xbcab553742f7fd698182e76a0e2c30, 0x004f6b], - ), - F::from_limbs( - [0x47b2f144954b140bbd1890bb6705e7, 0xff7adae82fa6558f5be8e50b86a696, 0x001707], - ), - F::from_limbs( - [0x75f111bb6910eaf442e76e4498fa1a, 0xa7d84eb54da1ddaa7c1f2496515ebd, 0x005ce5], - ), - F::from_limbs( - [0xe680f5dafc6153a131aa10fd632e00, 0x134c2edfd8640e2f577d0ff387b8a5, 0x005ff3], - ), - F::from_limbs( - [0xd7230d2501faab5ece55ee029cd201, 0x9406fabda4e4250a808af9ae504cad, 0x0013fa], - ), - F::from_limbs( - [0x52d122bd538957e4cb00352c21f113, 0x6b967a02c84b89d12a87006d579ea1, 0x0027d8], - ), - F::from_limbs( - [0x6ad2e042aad2a71b34ffc9d3de0eee, 0x3bbcaf9ab4fca968ad8109348066b2, 0x004c15], - ), - F::from_limbs( - [0x6069bbc672bcd63fc6e7f37a5b26a1, 0x12f82c0988ef81ca254da703f317b7, 0x002c4a], - ), - F::from_limbs( - [0x5d3a47398b9f28c039180b85a4d960, 0x945afd93f458b16fb2ba629de4ed9c, 0x0047a3], - ), - F::from_limbs( - [0x550d70148336689facaa64d3610ad5, 0x07745a6b893c3d980cdab38ca1760a, 0x0002f8], - ), - F::from_limbs( - [0x689692eb7b25966053559a2c9ef52c, 0x9fdecf31f40bf5a1cb2d5615368f49, 0x0070f5], - ), - F::from_limbs( - [0xca0410a1c9a10a62c107092a653563, 0x89b5205c01ad36eb0ad3b74e021dec, 0x002aa8], - ), - F::from_limbs( - [0xf39ff25e34baf49d3ef8f5d59aca9e, 0x1d9e09417b9afc4ecd345253d5e766, 0x004945], - ), - F::from_limbs( - [0x0607c9bc523c31742ddf5eef4d4eaa, 0x891e1db52597a9c0b4d6e6ac40094a, 0x00155d], - ), - F::from_limbs( - [0xb79c3943ac1fcd8bd220a010b2b157, 0x1e350be857b08979233122f597fc09, 0x005e90], - ), - F::from_limbs( - [0xdadda702f99ca6235747e7245ca8f3, 0x989c317709ce3761dca398879864ee, 0x0067f5], - ), - F::from_limbs( - [0xe2c65bfd04bf58dca8b817dba3570e, 0x0eb6f8267379fbd7fb64711a3fa064, 0x000bf8], - ), - F::from_limbs( - [0x26cb392f9cd37aa223717637b2a39a, 0x7bac12ba0cc14923b1de5d054ff5cd, 0x0008ac], - ), - F::from_limbs( - [0x96d8c9d06188845ddc8e88c84d5c67, 0x2ba716e37086ea162629ac9c880f86, 0x006b41], - ), - F::from_limbs( - [0xcc5d3b6c2f14c021e5adbdd7b45b67, 0xa957448e60fb4ed489c94adbeee64a, 0x004438], - ), - F::from_limbs( - [0xf146c793cf473ede1a5241284ba49a, 0xfdfbe50f1c4ce4654e3ebec5e91f08, 0x002fb4], - ), - F::from_limbs( - [0xbd422a206f6b6a21a0019cde8aa342, 0x4dfd3ba86f2050548384249ecf71c4, 0x00178c], - ), - F::from_limbs( - [0x0061d8df8ef094de5ffe6221755cbf, 0x5955edf50e27e2e55483e50308938f, 0x005c61], - ), - F::from_limbs( - [0xcc4b7382a961c6042cdc510b610c75, 0x371b67e5b1e369b3acd7001093f4a1, 0x00431e], - ), - F::from_limbs( - [0xf1588f7d54fa38fbd323adf49ef38c, 0x7037c1b7cb64c9862b3109914410b1, 0x0030cf], - ), - F::from_limbs( - [0x6fd201e8f5cc40a3afe5b2094fc128, 0xfe671be7bb3770be381d1d554a5b40, 0x0018bf], - ), - F::from_limbs( - [0x4dd20117088fbe5c501a4cf6b03ed9, 0xa8ec0db5c210c27b9feaec4c8daa13, 0x005b2d], - ), - F::from_limbs( - [0xf025db383b07030c5949b99fe0cf18, 0x293af972bc06e684d71edb9b48c8fb, 0x005514], - ), - F::from_limbs( - [0xcd7e27c7c354fbf3a6b645601f30e9, 0x7e18302ac1414cb500e92e068f3c57, 0x001ed9], - ), - F::from_limbs( - [0x3562ca05a2228a61650d680b8a6595, 0x9add509bfeb324c70882829c954881, 0x003f8f], - ), - F::from_limbs( - [0x884138fa5c39749e9af296f4759a6c, 0x0c75d9017e950e72cf85870542bcd2, 0x00345e], - ), - F::from_limbs( - [0x6b3c313aa95aee82f6451c0ffd9e4b, 0x6d8766a0943a502e6324c3508a3d5d, 0x001de8], - ), - F::from_limbs( - [0x5267d1c55501107d09bae2f00261b6, 0x39cbc2fce90de30b74e346514dc7f6, 0x005605], - ), - F::from_limbs( - [0x654ce80fe96082a1e43aaa7b821ea8, 0xf72b923064c0be698f7263e18fd0b9, 0x002cc7], - ), - F::from_limbs( - [0x58571af014fb7c5e1bc554847de159, 0xb027976d188774d04895a5c048349a, 0x004725], - ), - F::from_limbs( - [0x54ae98f2436032489a67c9866dd8ad, 0xe4d12bf37061256021f248c7908c5b, 0x005e75], - ), - F::from_limbs( - [0x68f56a0dbafbccb765983579922754, 0xc281fdaa0ce70dd9b615c0da4778f8, 0x001577], - ), - F::from_limbs( - [0x8497fcc49d0aa40b429d38e35259ba, 0x99a26cd1eb74403a1340a2d6a1bb64, 0x003475], - ), - F::from_limbs( - [0x390c063b61515af4bd62c61cada647, 0x0db0bccb91d3f2ffc4c766cb3649ef, 0x003f78], - ), - F::from_limbs( - [0x3be6ce0d94c6fa2af3b166edf32104, 0xdd86f64b2b584cdc6ccbf204e89982, 0x00386c], - ), - F::from_limbs( - [0x81bd34f2699504d50c4e98120cdefd, 0xc9cc335251efe65d6b3c179cef6bd1, 0x003b80], - ), - F::from_limbs( - [0xfe230845799344541d2d22e8741f95, 0xb81eac8a6b93f11de21f95fdc20639, 0x0019a3], - ), - F::from_limbs( - [0xbf80faba84c8baabe2d2dc178be06c, 0xef347d1311b4421bf5e873a415ff19, 0x005a49], - ), - F::from_limbs( - [0xfe8d642079b117e2b984147df9fa0c, 0x54602f81f7daddb4495985ce8faabc, 0x00268a], - ), - F::from_limbs( - [0xbf169edf84aae71d467bea820605f5, 0x52f2fa1b856d55858eae83d3485a96, 0x004d63], - ), - F::from_limbs( - [0xac10045770c08b8c60ff7cd1cb44b7, 0x548cbf1cc89059674f9cea35a7984c, 0x002455], - ), - F::from_limbs( - [0x1193fea88d9b73739f00822e34bb4a, 0x52c66a80b4b7d9d2886b1f6c306d07, 0x004f98], - ), - F::from_limbs( - [0x3682e1dd8e09eea1bf6608e5f02061, 0x4966d963f03feefe5024fc878e21d5, 0x007052], - ), - F::from_limbs( - [0x872121227052105e4099f61a0fdfa0, 0x5dec50398d08443b87e30d1a49e37e, 0x00039b], - ), - F::from_limbs( - [0x2e052cb748d5c0c04adf434b4e09ff, 0xf2bbe685dbe29aa1cac699a261938d, 0x00218a], - ), - F::from_limbs( - [0x8f9ed648b5863e3fb520bbb4b1f602, 0xb4974317a16598980d416fff7671c6, 0x005262], - ), - F::from_limbs( - [0x6d28a175fac82773be83cb00213581, 0x05a1a5d4698d5ee9e090bc999a0261, 0x002710], - ), - F::from_limbs( - [0x507b618a0393d78c417c33ffdeca80, 0xa1b183c913bad44ff7774d083e02f2, 0x004cdd], - ), - F::from_limbs( - [0xc71ad10f1cb57ed38797c866a2d324, 0x5a3fce4392a5b6641cef26ddbb1e10, 0x00543a], - ), - F::from_limbs( - [0xf68931f0e1a6802c786836995d2cdd, 0x4d135b59eaa27cd5bb18e2c41ce742, 0x001fb3], - ), - F::from_limbs( - [0x3b0e7eef22839ee457f3a8335b7c95, 0x7dc08530f7efe3a32515bfe9049360, 0x000a3e], - ), - F::from_limbs( - [0x82958410dbd8601ba80c56cca4836c, 0x2992a46c85584f96b2f249b8d371f3, 0x0069af], - ), - F::from_limbs( - [0x010d11ad78e67deb7dbe225750689c, 0xc1ce8fe57512b096e947760ffd71d2, 0x001478], - ), - F::from_limbs( - [0xbc96f152857581148241dca8af9765, 0xe58499b8083582a2eec09391da9381, 0x005f74], - ), - F::from_limbs( - [0x0d7b400461dcb7a69e3537d4ebbcf1, 0xf8671d4058336373dcdb72a544f8c7, 0x000aab], - ), - F::from_limbs( - [0xb028c2fb9c7f475961cac72b144310, 0xaeec0c5d2514cfc5fb2c96fc930c8c, 0x006941], - ), - F::from_limbs( - [0xbcb5780f8ed96932b18098666562a4, 0xbd71f2c2ea600d38d4f3d4ea6f549f, 0x004256], - ), - F::from_limbs( - [0x00ee8af06f8295cd4e7f66999a9d5d, 0xe9e136da92e82601031434b768b0b4, 0x003196], - ), - F::from_limbs( - [0x38d17454846f3841f49d74735570ea, 0x165fbd58c5a8755dc5938773609f0e, 0x0003ed], - ), - F::from_limbs( - [0x84d28eab79ecc6be0b628a8caa8f17, 0x90f36c44b79fbddc1274822e776645, 0x007000], - ), - F::from_limbs( - [0xfcb916c626e0e9bc29f6173ab70b65, 0x3d073a9c55cdd85ea2235bfe4d4804, 0x005b5b], - ), - F::from_limbs( - [0xc0eaec39d77b1543d609e7c548f49c, 0x6a4bef01277a5adb35e4ada38abd4e, 0x001892], - ), - F::from_limbs( - [0xc37b9a1dfaaf4193724cef26d4b27a, 0x9c2994f61e115e9f0991476ba4f346, 0x004ae3], - ), - F::from_limbs( - [0xfa2868e203acbd6c8db30fd92b4d87, 0x0b2994a75f36d49ace76c23633120c, 0x00290a], - ), - F::from_limbs( - [0x377a276c1c5329c1018e5e8284261e, 0xd80ac1ce9fe1755c33da05a269c910, 0x0053fd], - ), - F::from_limbs( - [0x8629db93e208d53efe71a07d7bd9e3, 0xcf4867cedd66bddda42e03ff6e3c43, 0x001fef], - ), - F::from_limbs( - [0x45dc24dbfdb880c6163bc865dd8bfa, 0x904b30cf1672d3253aaf3beeedf700, 0x0032fe], - ), - F::from_limbs( - [0x77c7de2400a37e39e9c4369a227407, 0x1707f8ce66d560149d58cdb2ea0e53, 0x0040ef], - ), - F::from_limbs( - [0xba16207a4ed9735b36b24c6dd788a9, 0x460aee018137df4643f06e17e34196, 0x001af7], - ), - F::from_limbs( - [0x038de285af828ba4c94db292287758, 0x61483b9bfc1053f394179b89f4c3bd, 0x0058f6], - ), - F::from_limbs( - [0x5051b124a48d44acceb7bbce4cc395, 0x49a9f4f29b3a002bc0adb6fdc0f664, 0x006fcb], - ), - F::from_limbs( - [0x6d5251db59ceba5331484331b33c6c, 0x5da934aae20e330e175a52a4170eef, 0x000422], - ), - F::from_limbs( - [0xdce6f23222f777c94bdd9d3ac706d2, 0x815b057415a7e25cd2e9271b27153d, 0x000455], - ), - F::from_limbs( - [0xe0bd10cddb648736b42261c538f92f, 0x25f8242967a050dd051ee286b0f015, 0x006f98], - ), - F::from_limbs( - [0x66373acc16d886ceddaf21e77fc517, 0xa9919ec5166a85cf008f30e27fbec0, 0x0010b0], - ), - F::from_limbs( - [0x576cc833e78378312250dd18803aea, 0xfdc18ad866ddad6ad778d8bf584693, 0x00633c], - ), - F::from_limbs( - [0xcf5dfbcdebe183e6e206d7bdffab49, 0x14f3cf6874649b5de195f3b709f16f, 0x000d09], - ), - F::from_limbs( - [0xee460732127a7b191df927420054b8, 0x925f5a3508e397dbf67215eace13e3, 0x0066e4], - ), - F::from_limbs( - [0x620e2e04af3cb774d607ae86c135cd, 0x379a5ac72106a7f3d9eeeea2803ed8, 0x002032], - ), - F::from_limbs( - [0x5b95d4fb4f1f478b29f850793eca34, 0x6fb8ced65c418b45fe191aff57c67b, 0x0053bb], - ), - F::from_limbs( - [0xbe8983b787f09a3fda16b703ae79d7, 0xc42675dd613b3489b26bb21f6c258f, 0x0056da], - ), - F::from_limbs( - [0xff1a7f48766b64c025e947fc51862a, 0xe32cb3c01c0cfeb0259c57826bdfc3, 0x001d12], - ), - F::from_limbs( - [0x4e939154c03c580acc2b5ef5216f61, 0x9334769b3974daaf8d6debc056151e, 0x001ead], - ), - F::from_limbs( - [0x6f1071ab3e1fa6f533d4a00ade90a0, 0x141eb30243d3588a4a9a1de181f035, 0x005540], - ), - F::from_limbs( - [0x6b31e32115dd92996c19a5568c67f4, 0x5347f1132f4d1e57fcce6b05f90380, 0x0036c7], - ), - F::from_limbs( - [0x52721fdee87e6c6693e659a973980d, 0x540b388a4dfb14e1db399e9bdf01d3, 0x003d26], - ), - F::from_limbs( - [0xf2bdccb70a6ef709cbca5b7a65aab2, 0xbd04f7f6b469d3ddff14a41bbd9dd2, 0x0036f1], - ), - F::from_limbs( - [0xcae63648f3ed07f63435a3859a554f, 0xea4e31a6c8de5f5bd8f365861a6780, 0x003cfb], - ), - F::from_limbs( - [0x66f13b1ab5685cd8cdc7146b807204, 0x9469afda287a4012a1a3ae0c60acc9, 0x004fd2], - ), - F::from_limbs( - [0x56b2c7e548f3a2273238ea947f8dfd, 0x12e979c354cdf32736645b9577588a, 0x00241b], - ), - F::from_limbs( - [0x7853b66b61d5200372e53f548f8ce3, 0x87ce2ad498442d5e019288a337976e, 0x003b03], - ), - F::from_limbs( - [0x45504c949c86defc8d1abfab70731e, 0x1f84fec8e50405dbd67580fea06de5, 0x0038ea], - ), - F::from_limbs( - [0x70bff3af461bc0ca31c421a753efa0, 0xa63dfd84ffaec090ac87917778335b, 0x0056b5], - ), - F::from_limbs( - [0x4ce40f50b8403e35ce3bdd58ac1061, 0x01152c187d9972a92b80782a5fd1f8, 0x001d38], - ), - F::from_limbs( - [0xc5373ec9c8343b1e4ca4d8ce229e36, 0x5d229a04387d9c5d5a214d0488f0ef, 0x00455e], - ), - F::from_limbs( - [0xf86cc4363627c3e1b35b2631dd61cb, 0x4a308f9944ca96dc7de6bc9d4f1463, 0x002e8f], - ), - F::from_limbs( - [0x5dcdee102c3ba87f2f48f3eb5d88d3, 0xa72bf8109fde405a5c49fdd0824580, 0x0013de], - ), - F::from_limbs( - [0x5fd614efd2205680d0b70b14a2772e, 0x0027318cdd69f2df7bbe0bd155bfd3, 0x00600f], - ), - F::from_limbs( - [0xd2826073fe1c3d9541142e4bebfa33, 0x8b9ab81f31622738fb770b6f7db0fd, 0x006321], - ), - F::from_limbs( - [0xeb21a28c003fc16abeebd0b41405ce, 0x1bb8717e4be60c00dc90fe325a5455, 0x0010cc], - ), - F::from_limbs( - [0x2655a4f2a71153bc164249c8f6ae4c, 0xed9f7c0b36665bc1b21db066728eec, 0x00230a], - ), - F::from_limbs( - [0x974e5e0d574aab43e9bdb5370951b5, 0xb9b3ad9246e1d77825ea593b657667, 0x0050e2], - ), - F::from_limbs( - [0x47c28ba9fd6add445358152fe9e30e, 0x4d75bff8bc844cda745819c6a69193, 0x000182], - ), - F::from_limbs( - [0x75e1775600f121bbaca7e9d0161cf3, 0x59dd69a4c0c3e65f63afefdb3173c0, 0x00726b], - ), - F::from_limbs( - [0xeccbd814da06896454b1247b57539e, 0xde70f6f89e7b9b7862421542c6ade1, 0x002cc2], - ), - F::from_limbs( - [0xd0d82aeb2455759bab4eda84a8ac63, 0xc8e232a4decc97c175c5f45f115771, 0x00472a], - ), - F::from_limbs( - [0x94d9614b087f3c1980045ae4b78723, 0xd97a1ce103e07e6e65b246bd533015, 0x0044dd], - ), - F::from_limbs( - [0x28caa1b4f5dcc2e67ffba41b4878de, 0xcdd90cbc7967b4cb7255c2e484d53e, 0x002f0f], - ), - F::from_limbs( - [0x51fbc98b29ffba9c5a4354bbba58aa, 0x3cb2c5f57ea5b26b1d49f27a08e557, 0x003f3d], - ), - F::from_limbs( - [0x6ba83974d45c4463a5bcaa4445a757, 0x6aa063a7fea280cebabe1727cf1ffc, 0x0034b0], - ), - F::from_limbs( - [0x61db1d1b9c0b08cb773551758ecaa4, 0xe37eb8a506acf1f91c7b55db3a8be4, 0x00593a], - ), - F::from_limbs( - [0x5bc8e5e46250f63488caad8a71355d, 0xc3d470f8769b4140bb8cb3c69d796f, 0x001ab2], - ), - F::from_limbs( - [0x444d8a302c8da96e37bfb94751e58e, 0x6690ae243ef976f6b24227dd5cb253, 0x005ec0], - ), - F::from_limbs( - [0x795678cfd1ce5591c84045b8ae1a73, 0x40c27b793e4ebc4325c5e1c47b5300, 0x00152d], - ), - F::from_limbs( - [0x3dfdc600984107cda32780a77f8f5f, 0xa1529986e0edb5dd9e2d3dd12687a9, 0x002eb2], - ), - F::from_limbs( - [0x7fa63cff661af7325cd87e588070a2, 0x060090169c5a7d5c39dacbd0b17daa, 0x00453b], - ), - F::from_limbs( - [0x2489344a456b47cae21e3bd7150af7, 0xea05243f47f6f7db687fb68d902acb, 0x005750], - ), - F::from_limbs( - [0x991aceb5b8f0b7351de1c328eaf50a, 0xbd4e055e35513b5e6f88531447da88, 0x001c9c], - ), - F::from_limbs( - [0xca05a65a819a818d65f283960c64f6, 0xfcc67803f85a9d91f530887530a761, 0x004c36], - ), - F::from_limbs( - [0xf39e5ca57cc17d729a0d7b69f39b0b, 0xaa8cb19984ed95a7e2d7812ca75df1, 0x0027b6], - ), - F::from_limbs( - [0x5c3a002f47ebc42d07692bea45f396, 0xa5fa42eabba5613a5c9f9b3231c3b6, 0x007192], - ), - F::from_limbs( - [0x616a02d0b6703ad2f896d315ba0c6b, 0x0158e6b2c1a2d1ff7b686e6fa6419d, 0x00025b], - ), - F::from_limbs( - [0xeceaad029bec7ce943f9b1660bb1a9, 0x59ff4eddaac6fee6711ca11606eba0, 0x001658], - ), - F::from_limbs( - [0xd0b955fd626f8216bc064d99f44e58, 0x4d53dabfd281345366eb688bd119b2, 0x005d95], - ), - F::from_limbs( - [0x218f1dd4394b56b4953e423b9c04e0, 0x87019792e16ae4979dbd6023b97478, 0x004970], - ), - F::from_limbs( - [0x9c14e52bc510a84b6ac1bcc463fb21, 0x2051920a9bdd4ea23a4aa97e1e90db, 0x002a7d], - ), - F::from_limbs( - [0x37f73343b719ecede15ecd60b3df65, 0x624c06087cb6ad30ccd8f447ed080a, 0x0059ba], - ), - F::from_limbs( - [0x85accfbc474212121ea1319f4c209c, 0x45072395009186090b2f1559eafd49, 0x001a33], - ), - F::from_limbs( - [0x467cc6e972110032c5ece8b055e8a9, 0x62d2f2b315a015393dcc435c95bf3a, 0x000274], - ), - F::from_limbs( - [0x77273c168c4afecd3a13164faa1758, 0x448036ea67a81e009a3bc645424619, 0x007179], - ), - F::from_limbs( - [0xc2941dbdeb3eff86bbc2821a7c954d, 0x4e5fe188f49e4f87f802ec2872f93e, 0x0043c8], - ), - F::from_limbs( - [0xfb0fe542131cff79443d7ce5836ab4, 0x58f3481488a9e3b1e0051d79650c14, 0x003025], - ), - F::from_limbs( - [0x5315b31507ceb8d2aa93f770b9c8e1, 0x9106ee3a43fd12880e5eefdbae2ab6, 0x004b9b], - ), - F::from_limbs( - [0x6a8e4feaf68d462d556c078f463720, 0x164c3b63394b20b1c9a919c629da9d, 0x002852], - ), - F::from_limbs( - [0xcbd2211181fe944077e77ff3104df5, 0xaa51988e575837557c3b5ebdfea8e8, 0x0060c6], - ), - F::from_limbs( - [0xf1d1e1ee7c5d6abf88187f0cefb20c, 0xfd01910f25effbe45bccaae3d95c6a, 0x001326], - ), - F::from_limbs( - [0xe7ea60eb7cbec10bffa78086fdf997, 0xf61c4bca67ebd5e3fdd1c6dc2cea86, 0x005f7c], - ), - F::from_limbs( - [0xd5b9a214819d3df400587e7902066a, 0xb136ddd3155c5d55da3642c5ab1acc, 0x001470], - ), - F::from_limbs( - [0xade32f51e3b92db7b324b4eaa555a9, 0xf91f5315f9552e1b95e6b724cde4ee, 0x0008b5], - ), - F::from_limbs( - [0x0fc0d3ae1aa2d1484cdb4a155aaa58, 0xae33d68783f3051e4221527d0a2065, 0x006b37], - ), - F::from_limbs( - [0xf8a4660d27320008b429fd878ffa9e, 0x7d7b53ab5425e3b013ebe22d4afdb4, 0x003702], - ), - F::from_limbs( - [0xc4ff9cf2d729fef74bd60178700563, 0x29d7d5f229224f89c41c27748d079e, 0x003ceb], - ), - F::from_limbs( - [0xd3a1081b7dc34879cad7e40b802754, 0xb1694de1defdc9b305be4031baafd7, 0x004d4c], - ), - F::from_limbs( - [0xea02fae48098b68635281af47fd8ad, 0xf5e9dbbb9e4a6986d249c9701d557b, 0x0026a0], - ), - F::from_limbs( - [0xbb4de382da6cec9b679276f6e92cd5, 0x81b1b3b9f48d763ed728d201436845, 0x004de2], - ), - F::from_limbs( - [0x02561f7d23ef1264986d880916d32c, 0x25a175e388babcfb00df37a0949d0e, 0x00260b], - ), - F::from_limbs( - [0xfea794c0e0d6b46940f19dbc185b43, 0xe9cede62c18b938f1b083fb184c56e, 0x000168], - ), - F::from_limbs( - [0xbefc6e3f1d854a96bf0e6143e7a4be, 0xbd844b3abbbc9faabcffc9f0533fe4, 0x007284], - ), - F::from_limbs( - [0xadf465bebef8ccebfad58878130b3d, 0xc395d5f911b303cec6f905265aae1a, 0x00446a], - ), - F::from_limbs( - [0x0faf9d413f633214052a7687ecf4c4, 0xe3bd53a46b952f6b110f047b7d5739, 0x002f82], - ), - F::from_limbs( - [0x9f1ddab1d4fa82932aebc0965a4202, 0xf36fa2b47ddb5a73c6e65398047a50, 0x000364], - ), - F::from_limbs( - [0x1e86284e29617c6cd5143e69a5bdff, 0xb3e386e8ff6cd8c61121b609d38b03, 0x007088], - ), - F::from_limbs( - [0xc769faa4402f293c314964fd4408c9, 0x849c98537bacc5b2f69cad1dade64b, 0x00177b], - ), - F::from_limbs( - [0xf63a085bbe2cd5c3ceb69a02bbf738, 0x22b6914a019b6d86e16b5c842a1f07, 0x005c72], - ), - F::from_limbs( - [0x79365f811d5769926a3c0cfe4005c3, 0x79a31835c7e2ccb2e5196d0deb2ba5, 0x003864], - ), - F::from_limbs( - [0x446da37ee104956d95c3f201bffa3e, 0x2db01167b5656686f2ee9c93ecd9ae, 0x003b89], - ), - F::from_limbs( - [0x6df44639124f2ba81be6d8edda7638, 0x668413c019df4374af12eabf982893, 0x006f87], - ), - F::from_limbs( - [0x4fafbcc6ec0cd357e41926122589c9, 0x40cf15dd6368efc528f51ee23fdcc0, 0x000466], - ), - F::from_limbs( - [0x43a907c09f060427d329827aa98fff, 0xb856c1b52cf9492d043c2e74cf231b, 0x00354b], - ), - F::from_limbs( - [0x79fafb3f5f55fad82cd67c85567002, 0xeefc67e8504eea0cd3cbdb2d08e238, 0x003ea1], - ), - F::from_limbs( - [0xb9bf92bae7e7fe896a2d7f2d01187c, 0x0f53d6c54c0941a9861e5c72b0d523, 0x000277], - ), - F::from_limbs( - [0x03e470451674007695d27fd2fee785, 0x97ff52d8313ef19051e9ad2f273030, 0x007176], - ), - F::from_limbs( - [0x1b0da0ac3997d798ff94a498f96017, 0x732533ddaf1a10b0beb4fee8a1769d, 0x006801], - ), - F::from_limbs( - [0xa2966253c4c42767006b5a67069fea, 0x342df5bfce2e228919530ab9368eb6, 0x000bec], - ), - F::from_limbs( - [0x26c30fdbf9ba3500c4ee9032afcc94, 0x105c8329a6955caccf15dda0d8ad03, 0x002fff], - ), - F::from_limbs( - [0x96e0f32404a1c9ff3b116ecd50336d, 0x96f6a673d6b2d68d08f22c00ff5850, 0x0043ee], - ), - F::from_limbs( - [0x236a92397b76349a0f0a5f9fbb73b7, 0x6e8046dfa7d7b0dba6fd299e303d1d, 0x000cc2], - ), - F::from_limbs( - [0x9a3970c682e5ca65f0f59f60448c4a, 0x38d2e2bdd570825e310ae003a7c836, 0x00672b], - ), - F::from_limbs( - [0x3b84c03955634d9dafd3593bc10665, 0x7aa88f051d3d6e47e7481dbd70b738, 0x004f3a], - ), - F::from_limbs( - [0x821f42c6a8f8b162502ca5c43ef99c, 0x2caa9a98600ac4f1f0bfebe4674e1b, 0x0024b3], - ), - F::from_limbs( - [0x0a98ca924c9853cdf99d946705e265, 0xb82069c37ab55ff8776e9d4b000112, 0x002b67], - ), - F::from_limbs( - [0xb30b386db1c3ab3206626a98fa1d9c, 0xef32bfda0292d34160996c56d80441, 0x004885], - ), - F::from_limbs( - [0x50631ef088678db03b789302413b7c, 0xcd6afbf40e773e053844b1d7c4c0ec, 0x00455e], - ), - F::from_limbs( - [0x6d40e40f75f4714fc4876bfdbec485, 0xd9e82da96ed0f5349fc357ca134467, 0x002e8e], - ), - F::from_limbs( - [0x1279da43e3f45b1ede5de981ebf8f8, 0xce9f04a28d115ecc4f16874611b142, 0x000db4], - ), - F::from_limbs( - [0xab2a28bc1a67a3e121a2157e140709, 0xd8b424faf036d46d88f1825bc65411, 0x006638], - ), - F::from_limbs( - [0x91e47e376c2e5b6ff7d691b3198b23, 0xe821190696fc5d6ecc9a8405e05629, 0x005133], - ), - F::from_limbs( - [0x2bbf84c8922da39008296d4ce674de, 0xbf321096e64bd5cb0b6d859bf7af2a, 0x0022b9], - ), - F::from_limbs( - [0xc528e11bb8f362bbb3efec893f294f, 0x10302a2f39be6d2099caa9324c56d8, 0x005679], - ), - F::from_limbs( - [0xf87b21e445689c444c101276c0d6b2, 0x9722ff6e4389c6193e3d606f8bae7a, 0x001d74], - ), - F::from_limbs( - [0xd83c84ed265e50977e9c4587dfe508, 0x739e84003bec789aed56b517a468ea, 0x000076], - ), - F::from_limbs( - [0xe5677e12d7fdae688163b978201af9, 0x33b4a59d415bba9eeab1548a339c68, 0x007377], - ), - F::from_limbs( - [0x235c660dcd47d87bf14d05ce8047ea, 0xef848d536f6afc0071a614f0a4770c, 0x00643c], - ), - F::from_limbs( - [0x9a479cf2311426840eb2f9317fb817, 0xb7ce9c4a0ddd37396661f4b1338e47, 0x000fb0], - ), - F::from_limbs( - [0x7f1ed0313f9e0fe150bea48f8d1dea, 0xe117dc9238c29fb9c14a0e4d763a00, 0x0024c9], - ), - F::from_limbs( - [0x3e8532cebebdef1eaf415a7072e217, 0xc63b4d0b4485938016bdfb5461cb53, 0x004f23], - ), - F::from_limbs( - [0x81791f3a6308454c51bb17349f0783, 0xe041d03cc117b367e019a720931783, 0x001d2d], - ), - F::from_limbs( - [0x3c2ae3c59b53b9b3ae44e7cb60f87e, 0xc7115960bc307fd1f7ee628144edd0, 0x0056bf], - ), - F::from_limbs( - [0xc3ba13d252c0e88f18500f83965a8e, 0x641539037f771f1b83b02e67527a4d, 0x0055b6], - ), - F::from_limbs( - [0xf9e9ef2dab9b1670e7afef7c69a573, 0x433df099fdd1141e5457db3a858b05, 0x001e37], - ), - F::from_limbs( - [0x5502a77ae6332fa6600254a7d754be, 0x4cdc36f88410f5d7bfef36de3b7834, 0x00027e], - ), - F::from_limbs( - [0x68a15b851828cf599ffdaa5828ab43, 0x5a76f2a4f9373d621818d2c39c8d1f, 0x00716f], - ), - F::from_limbs( - [0x8d41cd7ab1753ea7303c63152c1640, 0x4a2297423679aee4b37190faa6c7d5, 0x004f91], - ), - F::from_limbs( - [0x306235854ce6c058cfc39bead3e9c1, 0x5d30925b46ce8455249678a7313d7e, 0x00245c], - ), - F::from_limbs( - [0x87cba345c1658b64271241619da532, 0x46ae7297a21a8f4310cd2220399c88, 0x0037d2], - ), - F::from_limbs( - [0x35d85fba3cf6739bd8edbd9e625acf, 0x60a4b705db2da3f6c73ae7819e68cb, 0x003c1b], - ), - F::from_limbs( - [0x2651d853c9eca95343e645167ee188, 0x1331dca429aad2f2eb5255c656c902, 0x00258b], - ), - F::from_limbs( - [0x97522aac346f55acbc19b9e9811e79, 0x94214cf9539d6046ecb5b3db813c51, 0x004e62], - ), - F::from_limbs( - [0x5390d0e60bdfb3b93907b7592ea586, 0xe4164e07f2ab58063db3959fe0ef23, 0x003596], - ), - F::from_limbs( - [0x6a133219f27c4b46c6f847a6d15a7b, 0xc33cdb958a9cdb339a547401f71630, 0x003e56], - ), - F::from_limbs( - [0xb8b209e98b7e0f2fa61198c7de7bd4, 0x75e0a5e4145fb34bad5f4e9cfdb6f3, 0x003811], - ), - F::from_limbs( - [0x04f1f91672ddefd059ee663821842d, 0x317283b968e87fee2aa8bb04da4e60, 0x003bdc], - ), - F::from_limbs( - [0x6e76cf4f775ba9242cce972bd82d65, 0x812b15a0625c3583f1f0c36ae9d2f5, 0x0011d0], - ), - F::from_limbs( - [0x4f2d33b0870055dbd33167d427d29c, 0x262813fd1aebfdb5e6174636ee325e, 0x00621d], - ), - F::from_limbs( - [0x7524de9c02b81cf5045a21462659cf, 0x5fa6f3c3db8efc130759d8cd8c1f9d, 0x0017bf], - ), - F::from_limbs( - [0x487f2463fba3e20afba5ddb9d9a632, 0x47ac35d9a1b93726d0ae30d44be5b6, 0x005c2e], - ), - F::from_limbs( - [0x66175e422e5e04509c353c559ce0e4, 0xc2a34bbcc1de81c01f6a38e43c7150, 0x0028ff], - ), - F::from_limbs( - [0x578ca4bdcffdfaaf63cac2aa631f1d, 0xe4afdde0bb69b179b89dd0bd9b9403, 0x004aed], - ), - F::from_limbs( - [0xc17fed2efa16c0bf255236c073301f, 0x95c68591a521990ffbee982e626b47, 0x00713f], - ), - F::from_limbs( - [0xfc2415d104453e40daadc83f8ccfe2, 0x118ca40bd8269a29dc197173759a0b, 0x0002ae], - ), - F::from_limbs( - [0x37692cb91745a591e0a5ec1dbb4517, 0x2b1236ce1f78bd6f986d418b46797f, 0x006418], - ), - F::from_limbs( - [0x863ad646e716596e1f5a12e244baea, 0x7c40f2cf5dcf75ca3f9ac816918bd4, 0x000fd5], - ), - F::from_limbs( - [0x743adadff7878293e97ac2c7bf5f23, 0x47fe2645c3ccca5cf55c4cee43e80b, 0x005d20], - ), - F::from_limbs( - [0x4969282006d47c6c16853c3840a0de, 0x5f550357b97b68dce2abbcb3941d48, 0x0016cd], - ), - F::from_limbs( - [0x1f5b434515524094eb42b26bd7cec8, 0x5d84c1e11520848c1259d579deff61, 0x006ae4], - ), - F::from_limbs( - [0x9e48bfbae909be6b14bd4c94283139, 0x49ce67bc6827aeadc5ae3427f905f2, 0x000909], - ), - F::from_limbs( - [0x7a83f4b3620a8bc1ab543280174b65, 0x4fe4101d764247b839b40665b9ab31, 0x004d4e], - ), - F::from_limbs( - [0x43200e4c9c51733e54abcc7fe8b49c, 0x576f19800705eb819e54033c1e5a22, 0x00269f], - ), - F::from_limbs( - [0x16e6f88f393313659ed34f1ba7c758, 0x479f6d036dbe156e6d5f1cd1d95835, 0x004f05], - ), - F::from_limbs( - [0xa6bd0a70c528eb9a612cafe45838a9, 0x5fb3bc9a0f8a1dcb6aa8eccffead1e, 0x0024e8], - ), - F::from_limbs( - [0xb4744f8cf411c654449ec24eff1d4a, 0xae41472c7c0e590ce3fe74cee9cc36, 0x0061df], - ), - F::from_limbs( - [0x092fb3730a4a38abbb613cb100e2b7, 0xf911e2710139da2cf40994d2ee391d, 0x00120d], - ), - F::from_limbs( - [0x1b7ec3a436588065b8118cdf67b4c8, 0x457a8a468be812b6b2973fbcaa7c77, 0x003d49], - ), - F::from_limbs( - [0xa2253f5bc8037e9a47ee7220984b39, 0x61d89f56f16020832570c9e52d88dc, 0x0036a4], - ), - F::from_limbs( - [0x3412c9cd2a9b3731e9ab2413ce6403, 0x8dc1af53e39e07ae39bf50998fa407, 0x004686], - ), - F::from_limbs( - [0x89913932d3c0c7ce1654daec319bfe, 0x19917a4999aa2b8b9e48b90848614c, 0x002d67], - ), - F::from_limbs( - [0x89c1bd2dd357cf20f00f1e8819ff37, 0x2f0c9a6585b33115765c3d23d4949e, 0x003fb7], - ), - F::from_limbs( - [0x33e245d22b042fdf0ff0e077e600ca, 0x78468f37f795022461abcc7e0370b5, 0x003436], - ), - F::from_limbs( - [0xdd464b1c886d78042cef5c92e33195, 0x557b73b7e48b242355a680b717f586, 0x0025de], - ), - F::from_limbs( - [0xe05db7e375ee86fbd310a26d1cce6c, 0x51d7b5e598bd0f16826188eac00fcc, 0x004e0f], - ), - F::from_limbs( - [0xedf499ef3076be4475c4d42b7a4b38, 0x602954fc0ca6ba46042c3d326406d9, 0x0054de], - ), - F::from_limbs( - [0xcfaf6910cde540bb8a3b2ad485b4c9, 0x4729d4a170a178f3d3dbcc6f73fe79, 0x001f0f], - ), - F::from_limbs( - [0xfcd31b702dd686c47e6812cda15c19, 0xf2d45a69922bb0a0d0c53a6b502bef, 0x005861], - ), - F::from_limbs( - [0xc0d0e78fd085783b8197ec325ea3e8, 0xb47ecf33eb1c82990742cf3687d963, 0x001b8b], - ), - F::from_limbs( - [0x8425612ae7e671237bffd304e4fe50, 0xf9f2176adc1d48e923008e61d9c58e, 0x004067], - ), - F::from_limbs( - [0x397ea1d516758ddc84002bfb1b01b1, 0xad611232a12aea50b5077b3ffe3fc5, 0x003385], - ), - F::from_limbs( - [0xba411117fb1be0bb14f4f365c1b600, 0x58bcb55478df34740bade3183ade28, 0x000335], - ), - F::from_limbs( - [0x0362f1e803401e44eb0b0b9a3e4a01, 0x4e9674490468fec5cc5a26899d272b, 0x0070b8], - ), - F::from_limbs( - [0x9fcc4cdb6f0c10a87049c0b5897879, 0x9424325317c08c97b1f14e6a7312cd, 0x006329], - ), - F::from_limbs( - [0x1dd7b6248f4fee578fb63e4a768788, 0x132ef74a6587a6a22616bb3764f286, 0x0010c4], - ), - F::from_limbs( - [0x9f899703062de0d3baa1acb4e5b0f5, 0x090a68110f9092a633fc64cef521ba, 0x0065eb], - ), - F::from_limbs( - [0x1e1a6bfcf82e1e2c455e524b1a4f0c, 0x9e48c18c6db7a093a40ba4d2e2e399, 0x000e02], - ), - F::from_limbs( - [0xd96ff2cd8b2f2e472cb619daac4bd2, 0x0f2dbc497381f411d51f076e4466de, 0x00573a], - ), - F::from_limbs( - [0xe4341032732cd0b8d349e52553b42f, 0x98256d5409c63f2802e90233939e74, 0x001cb3], - ), - F::from_limbs( - [0xb84c544876a9c789aa8cb2686396ce, 0xa3313c8414b9bdb48d3a72566086b0, 0x006dbc], - ), - F::from_limbs( - [0x0557aeb787b2377655734c979c6933, 0x0421ed19688e75854acd974b777ea3, 0x000631], - ), - F::from_limbs( - [0xe7613894a9b5c86333defbe1eafec8, 0xecb3aff7822dc90fd38cadbdeab57e, 0x0051a0], - ), - F::from_limbs( - [0xd642ca6b54a6369ccc21031e150139, 0xba9f79a5fb1a6a2a047b5be3ed4fd4, 0x00224c], - ), - F::from_limbs( - [0xbd99d6f7d72c9825c9330c166c32b6, 0x656984a80d04d77f485529026c165c, 0x0008f3], - ), - F::from_limbs( - [0x000a2c08272f66da36ccf2e993cd4b, 0x41e9a4f570435bba8fb2e09f6beef7, 0x006afa], - ), - F::from_limbs( - [0x00ac7d231f0dcc77f716ad84ec3f4e, 0x66b749227bc79c2b526b533ce6736d, 0x001236], - ), - F::from_limbs( - [0xbcf785dcdf4e328808e9517b13c0b3, 0x409be07b0180970e859cb664f191e6, 0x0061b7], - ), - F::from_limbs( - [0x44df453062977b35a87e2790b1aa63, 0x70a52543032792c60337c3de194e28, 0x004ca4], - ), - F::from_limbs( - [0x78c4bdcf9bc483ca5781d76f4e559e, 0x36ae045a7a20a073d4d045c3beb72b, 0x002749], - ), - F::from_limbs( - [0x009c43f83b178b774638c79cf5dc1f, 0x3f6e8235ecae3905159358e0d38ebb, 0x0010c4], - ), - F::from_limbs( - [0xbd07bf07c3447388b9c737630a23e2, 0x67e4a7679099fa34c274b0c1047698, 0x006329], - ), - F::from_limbs( - [0x2a876351c2a2215759eb2f01eda387, 0xcb3d2bb78a0443275a5062c289ae5a, 0x0051ae], - ), - F::from_limbs( - [0x931c9fae3bb9dda8a614cffe125c7a, 0xdc15fde5f343f0127db7a6df4e56f9, 0x00223e], - ), - F::from_limbs( - [0xa8a3a7f2912453021ed75861bf15b2, 0xb5e368fea545ec1883b4b3c9abedbf, 0x0052cb], - ), - F::from_limbs( - [0x15005b0d6d37abfde128a69e40ea4f, 0xf16fc09ed8024721545355d82c1794, 0x002121], - ), - F::from_limbs( - [0x99bf3cadf47500466419f0acda4132, 0x0fab03bda4f931faf27e04e17cf31b, 0x004831], - ), - F::from_limbs( - [0x23e4c65209e6feb99be60e5325becf, 0x97a825dfd84f013ee58a04c05b1238, 0x002bbc], - ), - F::from_limbs( - [0x2af33beac6f68086ebdd53f2e05b8c, 0x18dfadf4968e6c38c06e52f5b19228, 0x003f52], - ), - F::from_limbs( - [0x92b0c71537657e791422ab0d1fa475, 0x8e737ba8e6b9c7011799b6ac26732b, 0x00349b], - ), - F::from_limbs( - [0x532ae018561e10623432bc97e66621, 0x7d758178f8009d3d7a7ff033103d20, 0x003c40], - ), - F::from_limbs( - [0x6a7922e7a83dee9dcbcd42681999e0, 0x29dda824854795fc5d88196ec7c833, 0x0037ad], - ), - F::from_limbs( - [0x5fdb8562ecaee38095506aaf2ed4e8, 0x40fa9e92971b3b44484802d2908ee1, 0x005327], - ), - F::from_limbs( - [0x5dc87d9d11ad1b7f6aaf9450d12b19, 0x66588b0ae62cf7f58fc006cf477672, 0x0020c6], - ), - F::from_limbs( - [0xc00587548157407cc2c1b551422388, 0x2433aacc79664fd54b05535ed75859, 0x0006c4], - ), - F::from_limbs( - [0xfd9e7bab7d04be833d3e49aebddc79, 0x831f7ed103e1e3648d02b64300acf9, 0x006d29], - ), - F::from_limbs( - [0xabf9af77e7e83655b9012175a8cc3b, 0xe87fd6b51c9c4226a334d73bebcb2b, 0x000b72], - ), - F::from_limbs( - [0x11aa53881673c8aa46fedd8a5733c6, 0xbed352e860abf11334d33265ec3a28, 0x00687a], - ), - F::from_limbs( - [0x1fbcdb53444abbab0181bccc152b72, 0xedc455355287c6bf314728f7672064, 0x0068e3], - ), - F::from_limbs( - [0x9de727acba114354fe7e4233ead48f, 0xb98ed4682ac06c7aa6c0e0aa70e4ef, 0x000b09], - ), - F::from_limbs( - [0x5603226dcddca5147d1e72d2b5d06e, 0xc12baea83c091f5a39e548082c8807, 0x0064a3], - ), - F::from_limbs( - [0x67a0e092307f59eb82e18c2d4a2f93, 0xe6277af5413f13df9e22c199ab7d4c, 0x000f49], - ), - F::from_limbs( - [0x2ed8500386c76648c8e50cb39616ec, 0xef6739da92bc569aa8da7c3ebc2a85, 0x005a31], - ), - F::from_limbs( - [0x8ecbb2fc779498b7371af24c69e915, 0xb7ebefc2ea8bdc9f2f2d8d631bdace, 0x0019bb], - ), - F::from_limbs( - [0xfe3a2e7b95c6469630cf3b08b533d4, 0x2a8f2e2a85919ad23e75d282b2d3b6, 0x006802], - ), - F::from_limbs( - [0xbf69d4846895b869cf30c3f74acc2d, 0x7cc3fb72f7b698679992371f25319c, 0x000beb], - ), - F::from_limbs( - [0xcae90dfb3c0064c6123fa45fb28c2e, 0xd4cb52a34e3d7519670d09634336d4, 0x0023ce], - ), - F::from_limbs( - [0xf2baf504c25b9a39edc05aa04d73d3, 0xd287d6fa2f0abe2070fb003e94ce7e, 0x00501e], - ), - F::from_limbs( - [0x5ca0f385906331980144927341bf91, 0xe145a4a45855dd7ae283294477734f, 0x006964], - ), - F::from_limbs( - [0x61030f7a6df8cd67febb6c8cbe4070, 0xc60d84f924f255bef584e05d609204, 0x000a88], - ), - F::from_limbs( - [0xa47df0bc824e8ea22755dfe7bb9750, 0xfb32f90ffda0d607ced8ce69bc11a9, 0x0046cf], - ), - F::from_limbs( - [0x192612437c0d705dd8aa1f184468b1, 0xac20308d7fa75d32092f3b381bf3aa, 0x002d1d], - ), - F::from_limbs( - [0xec958cdc54a63cc7a96c1c03278845, 0x14461e4a1131fa3b366dda348f3893, 0x000791], - ), - F::from_limbs( - [0xd10e7623a9b5c2385693e2fcd877bc, 0x930d0b536c1638fea19a2f6d48ccbf, 0x006c5c], - ), - F::from_limbs( - [0xb5abf8c3e544b7cec40dd9d4019abd, 0xe3e21a204627ca43fa39cf3715caad, 0x002b0f], - ), - F::from_limbs( - [0x07f80a3c191747313bf2252bfe6544, 0xc3710f7d372068f5ddce3a6ac23aa6, 0x0048dd], - ), - F::from_limbs( - [0x40722db5a2fdf30997af02bca933c9, 0x56c300383c82d6ab35ba4d5db3f1f7, 0x00688a], - ), - F::from_limbs( - [0x7d31d54a5b5e0bf66850fc4356cc38, 0x5090296540c55c8ea24dbc4424135c, 0x000b63], - ), - F::from_limbs( - [0x564fcbc247d6d6ac9cc344a8cfff5a, 0xeb803c23772e9c6afb16ff55ea304f, 0x004b12], - ), - F::from_limbs( - [0x6754373db6852853633cba573000a7, 0xbbd2ed7a061996cedcf10a4bedd504, 0x0028da], - ), - F::from_limbs( - [0xcdd1364d8cfacb93f88bc67b7b3721, 0x665f2b83a6deb7fdceb13345570e65, 0x0022a4], - ), - F::from_limbs( - [0xefd2ccb27161336c0774388484c8e0, 0x40f3fe19d6697b3c0956d65c80f6ed, 0x005149], - ), - F::from_limbs( - [0x0e9d35b6ed76adf7713ef284c069ff, 0xcf43948b469bcd431486dfe074f000, 0x002d69], - ), - F::from_limbs( - [0xaf06cd4910e551088ec10c7b3f9602, 0xd80f951236ac65f6c38129c1631553, 0x004683], - ), - F::from_limbs( - [0x67d80e0380c9dd297e9abd55f848ed, 0x70bfd3999432941131a1638c47aaf6, 0x002ffb], - ), - F::from_limbs( - [0x55cbf4fc7d9221d6816541aa07b714, 0x36935603e9159f28a666a615905a5d, 0x0043f2], - ), - F::from_limbs( - [0x8032cefe4d368500c64cd40384f439, 0xe7910a9571c7e580abd9bdea663091, 0x001d7f], - ), - F::from_limbs( - [0x3d713401b12579ff39b32afc7b0bc8, 0xbfc21f080b804db92c2e4bb771d4c2, 0x00566d], - ), - F::from_limbs( - [0x121d901c68c49123c031d18d8c2649, 0xd8bc987365098ce1593a825ad83ef5, 0x006fc8], - ), - F::from_limbs( - [0xab8672e395976ddc3fce2d7273d9b8, 0xce96912a183ea6587ecd8746ffc65e, 0x000424], - ), - F::from_limbs( - [0xe9d91c5935fd49f4b6cc71968e9630, 0xab942a7f28f2aeb5acc56ef4dd0686, 0x003414], - ), - F::from_limbs( - [0xd3cae6a6c85eb50b49338d697169d1, 0xfbbeff1e545584842b429aacfafecc, 0x003fd8], - ), - F::from_limbs( - [0x40d3a6dad17cfb58253c958a750acb, 0xd11e6709e3150b19cc92362eeaac79, 0x00503d], - ), - F::from_limbs( - [0x7cd05c252cdf03a7dac369758af536, 0xd634c2939a3328200b75d372ed58da, 0x0023af], - ), - F::from_limbs( - [0x25871b96c0742e75161473966a53f7, 0x032dedb0b892480e75bd26e4e2ccb3, 0x000e42], - ), - F::from_limbs( - [0x981ce7693de7d08ae9eb8b6995ac0a, 0xa4253becc4b5eb2b624ae2bcf538a0, 0x0065ab], - ), - F::from_limbs( - [0x309054dce40022360156e8b623013e, 0xbaeda02a6ff092a7ec5a61b18bafed, 0x003381], - ), - F::from_limbs( - [0x8d13ae231a5bdcc9fea91649dcfec3, 0xec6589730d57a091ebada7f04c5566, 0x00406b], - ), - F::from_limbs( - [0xa9d4bab0b502dd86edbea447c942d5, 0x0a33a25ac40a26f8483151cc7c8088, 0x0060a2], - ), - F::from_limbs( - [0x13cf484f4959217912415ab836bd2c, 0x9d1f8742b93e0c418fd6b7d55b84cb, 0x00134b], - ), - F::from_limbs( - [0x269bddbc2b9df4ce9a534745bfd613, 0xeb58904936dbdf2b8960761678b86c, 0x001fa4], - ), - F::from_limbs( - [0x97082543d2be0a3165acb7ba4029ee, 0xbbfa9954466c540e4ea7938b5f4ce7, 0x005448], - ), - F::from_limbs( - [0xc4c8739d4475765bf0e8fec7a9af22, 0xd3a3929c4bb36342213767f33397b9, 0x002c4c], - ), - F::from_limbs( - [0xf8db8f62b9e688a40f1700385650df, 0xd3af97013194cff7b6d0a1aea46d99, 0x0047a0], - ), - F::from_limbs( - [0x8c7a99da8938647073084001146f23, 0x948861351141f0f5093f56be4518ad, 0x000b04], - ), - F::from_limbs( - [0x3129692575239a8f8cf7befeeb90de, 0x12cac8686c064244cec8b2e392eca6, 0x0068e9], - ), - F::from_limbs( - [0xab88365b6035748de74346b283c145, 0xa824ff74aa74280674d32da105c40d, 0x004f97], - ), - F::from_limbs( - [0x121bcca49e268a7218bcb84d7c3ebc, 0xff2e2a28d2d40b336334dc00d24146, 0x002455], - ), - F::from_limbs( - [0x76d28a9be629fb69e5dad127abcc9f, 0x7efc6393c8cfe857780d4fc57e7f03, 0x003ad2], - ), - F::from_limbs( - [0x46d17864183203961a252dd8543362, 0x2856c609b4784ae25ffab9dc598650, 0x00391b], - ), + BigNum { + limbs: [0x000000000000000000000000000001, 0x000000000000000000000000000000, 0x000000], + }, + BigNum { + limbs: [0xbda402fffe5bfeffffffff00000000, 0xa753299d7d483339d80809a1d80553, 0x0073ed], + }, + BigNum { + limbs: [0x030002760300000001000000000000, 0x0000000000008d51ccce760304d0ec, 0x000000], + }, + BigNum { + limbs: [0xbaa40089fb5bfefffeffff00000001, 0xa753299d7d47a5e80b39939ed33467, 0x0073ed], + }, + BigNum { + limbs: [0x8b21c28713b7007228fd3397743f7a, 0x66f603fa66e78c0625cd70d77ce2b3, 0x003457], + }, + BigNum { + limbs: [0x32824078eaa4fe8dd702cb688bc087, 0x405d25a31660a733b23a98ca5b22a0, 0x003f96], + }, + BigNum { + limbs: [0x74903694b04fd86037fe81ae99502e, 0xb22e5ce11044babc5affca86bf658e, 0x001333], + }, + BigNum { + limbs: [0x4913cc6b4e0c269fc8017d5166afd3, 0xf524ccbc6d03787d7d083f1b189fc5, 0x0060b9], + }, + BigNum { + limbs: [0xbeb312f20b6f7653ea61d87742bcce, 0xce9140267af9dd1c0af834cec32c17, 0x0020b1], + }, + BigNum { + limbs: [0xfef0f00df2ec88ac159e2688bd4333, 0xd8c1e977024e561dcd0fd4d314d93b, 0x00533b], + }, + BigNum { + limbs: [0xf4e672ebc1e1bb95df4b360411fe73, 0x596e753e4fcc6e92a9c460afca4a1e, 0x004f2c], + }, + BigNum { + limbs: [0xc8bd90143c7a436a20b4c8fbee018e, 0x4de4b45f2d7bc4a72e43a8f20dbb34, 0x0024c1], + }, + 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0xb5e368fea545ec1883b4b3c9abedbf, 0x0052cb], + }, + BigNum { + limbs: [0x15005b0d6d37abfde128a69e40ea4f, 0xf16fc09ed8024721545355d82c1794, 0x002121], + }, + BigNum { + limbs: [0x99bf3cadf47500466419f0acda4132, 0x0fab03bda4f931faf27e04e17cf31b, 0x004831], + }, + BigNum { + limbs: [0x23e4c65209e6feb99be60e5325becf, 0x97a825dfd84f013ee58a04c05b1238, 0x002bbc], + }, + BigNum { + limbs: [0x2af33beac6f68086ebdd53f2e05b8c, 0x18dfadf4968e6c38c06e52f5b19228, 0x003f52], + }, + BigNum { + limbs: [0x92b0c71537657e791422ab0d1fa475, 0x8e737ba8e6b9c7011799b6ac26732b, 0x00349b], + }, + BigNum { + limbs: [0x532ae018561e10623432bc97e66621, 0x7d758178f8009d3d7a7ff033103d20, 0x003c40], + }, + BigNum { + limbs: [0x6a7922e7a83dee9dcbcd42681999e0, 0x29dda824854795fc5d88196ec7c833, 0x0037ad], + }, + BigNum { + limbs: [0x5fdb8562ecaee38095506aaf2ed4e8, 0x40fa9e92971b3b44484802d2908ee1, 0x005327], + }, + BigNum { + limbs: [0x5dc87d9d11ad1b7f6aaf9450d12b19, 0x66588b0ae62cf7f58fc006cf477672, 0x0020c6], + }, + BigNum { + limbs: [0xc00587548157407cc2c1b551422388, 0x2433aacc79664fd54b05535ed75859, 0x0006c4], + }, + BigNum { + limbs: [0xfd9e7bab7d04be833d3e49aebddc79, 0x831f7ed103e1e3648d02b64300acf9, 0x006d29], + }, + BigNum { + limbs: [0xabf9af77e7e83655b9012175a8cc3b, 0xe87fd6b51c9c4226a334d73bebcb2b, 0x000b72], + }, + BigNum { + limbs: [0x11aa53881673c8aa46fedd8a5733c6, 0xbed352e860abf11334d33265ec3a28, 0x00687a], + }, + BigNum { + limbs: [0x1fbcdb53444abbab0181bccc152b72, 0xedc455355287c6bf314728f7672064, 0x0068e3], + }, + BigNum { + limbs: [0x9de727acba114354fe7e4233ead48f, 0xb98ed4682ac06c7aa6c0e0aa70e4ef, 0x000b09], + }, + BigNum { + limbs: [0x5603226dcddca5147d1e72d2b5d06e, 0xc12baea83c091f5a39e548082c8807, 0x0064a3], + }, + BigNum { + limbs: [0x67a0e092307f59eb82e18c2d4a2f93, 0xe6277af5413f13df9e22c199ab7d4c, 0x000f49], + }, + BigNum { + limbs: [0x2ed8500386c76648c8e50cb39616ec, 0xef6739da92bc569aa8da7c3ebc2a85, 0x005a31], + }, + BigNum { + limbs: [0x8ecbb2fc779498b7371af24c69e915, 0xb7ebefc2ea8bdc9f2f2d8d631bdace, 0x0019bb], + }, + BigNum { + limbs: [0xfe3a2e7b95c6469630cf3b08b533d4, 0x2a8f2e2a85919ad23e75d282b2d3b6, 0x006802], + }, + BigNum { + limbs: [0xbf69d4846895b869cf30c3f74acc2d, 0x7cc3fb72f7b698679992371f25319c, 0x000beb], + }, + BigNum { + limbs: [0xcae90dfb3c0064c6123fa45fb28c2e, 0xd4cb52a34e3d7519670d09634336d4, 0x0023ce], + }, + BigNum { + limbs: [0xf2baf504c25b9a39edc05aa04d73d3, 0xd287d6fa2f0abe2070fb003e94ce7e, 0x00501e], + }, + BigNum { + limbs: [0x5ca0f385906331980144927341bf91, 0xe145a4a45855dd7ae283294477734f, 0x006964], + }, + BigNum { + limbs: [0x61030f7a6df8cd67febb6c8cbe4070, 0xc60d84f924f255bef584e05d609204, 0x000a88], + }, + BigNum { + limbs: [0xa47df0bc824e8ea22755dfe7bb9750, 0xfb32f90ffda0d607ced8ce69bc11a9, 0x0046cf], + }, + BigNum { + limbs: [0x192612437c0d705dd8aa1f184468b1, 0xac20308d7fa75d32092f3b381bf3aa, 0x002d1d], + }, + BigNum { + limbs: [0xec958cdc54a63cc7a96c1c03278845, 0x14461e4a1131fa3b366dda348f3893, 0x000791], + }, + BigNum { + limbs: [0xd10e7623a9b5c2385693e2fcd877bc, 0x930d0b536c1638fea19a2f6d48ccbf, 0x006c5c], + }, + BigNum { + limbs: [0xb5abf8c3e544b7cec40dd9d4019abd, 0xe3e21a204627ca43fa39cf3715caad, 0x002b0f], + }, + BigNum { + limbs: [0x07f80a3c191747313bf2252bfe6544, 0xc3710f7d372068f5ddce3a6ac23aa6, 0x0048dd], + }, + BigNum { + limbs: [0x40722db5a2fdf30997af02bca933c9, 0x56c300383c82d6ab35ba4d5db3f1f7, 0x00688a], + }, + BigNum { + limbs: [0x7d31d54a5b5e0bf66850fc4356cc38, 0x5090296540c55c8ea24dbc4424135c, 0x000b63], + }, + BigNum { + limbs: [0x564fcbc247d6d6ac9cc344a8cfff5a, 0xeb803c23772e9c6afb16ff55ea304f, 0x004b12], + }, + BigNum { + limbs: [0x6754373db6852853633cba573000a7, 0xbbd2ed7a061996cedcf10a4bedd504, 0x0028da], + }, + BigNum { + limbs: [0xcdd1364d8cfacb93f88bc67b7b3721, 0x665f2b83a6deb7fdceb13345570e65, 0x0022a4], + }, + BigNum { + limbs: [0xefd2ccb27161336c0774388484c8e0, 0x40f3fe19d6697b3c0956d65c80f6ed, 0x005149], + }, + BigNum { + limbs: [0x0e9d35b6ed76adf7713ef284c069ff, 0xcf43948b469bcd431486dfe074f000, 0x002d69], + }, + BigNum { + limbs: [0xaf06cd4910e551088ec10c7b3f9602, 0xd80f951236ac65f6c38129c1631553, 0x004683], + }, + BigNum { + limbs: [0x67d80e0380c9dd297e9abd55f848ed, 0x70bfd3999432941131a1638c47aaf6, 0x002ffb], + }, + BigNum { + limbs: [0x55cbf4fc7d9221d6816541aa07b714, 0x36935603e9159f28a666a615905a5d, 0x0043f2], + }, + BigNum { + limbs: [0x8032cefe4d368500c64cd40384f439, 0xe7910a9571c7e580abd9bdea663091, 0x001d7f], + }, + BigNum { + limbs: [0x3d713401b12579ff39b32afc7b0bc8, 0xbfc21f080b804db92c2e4bb771d4c2, 0x00566d], + }, + BigNum { + limbs: [0x121d901c68c49123c031d18d8c2649, 0xd8bc987365098ce1593a825ad83ef5, 0x006fc8], + }, + BigNum { + limbs: [0xab8672e395976ddc3fce2d7273d9b8, 0xce96912a183ea6587ecd8746ffc65e, 0x000424], + }, + BigNum { + limbs: [0xe9d91c5935fd49f4b6cc71968e9630, 0xab942a7f28f2aeb5acc56ef4dd0686, 0x003414], + }, + BigNum { + limbs: [0xd3cae6a6c85eb50b49338d697169d1, 0xfbbeff1e545584842b429aacfafecc, 0x003fd8], + }, + BigNum { + limbs: [0x40d3a6dad17cfb58253c958a750acb, 0xd11e6709e3150b19cc92362eeaac79, 0x00503d], + }, + BigNum { + limbs: [0x7cd05c252cdf03a7dac369758af536, 0xd634c2939a3328200b75d372ed58da, 0x0023af], + }, + BigNum { + limbs: [0x25871b96c0742e75161473966a53f7, 0x032dedb0b892480e75bd26e4e2ccb3, 0x000e42], + }, + BigNum { + limbs: [0x981ce7693de7d08ae9eb8b6995ac0a, 0xa4253becc4b5eb2b624ae2bcf538a0, 0x0065ab], + }, + BigNum { + limbs: [0x309054dce40022360156e8b623013e, 0xbaeda02a6ff092a7ec5a61b18bafed, 0x003381], + }, + BigNum { + limbs: [0x8d13ae231a5bdcc9fea91649dcfec3, 0xec6589730d57a091ebada7f04c5566, 0x00406b], + }, + BigNum { + limbs: [0xa9d4bab0b502dd86edbea447c942d5, 0x0a33a25ac40a26f8483151cc7c8088, 0x0060a2], + }, + BigNum { + limbs: [0x13cf484f4959217912415ab836bd2c, 0x9d1f8742b93e0c418fd6b7d55b84cb, 0x00134b], + }, + BigNum { + limbs: [0x269bddbc2b9df4ce9a534745bfd613, 0xeb58904936dbdf2b8960761678b86c, 0x001fa4], + }, + BigNum { + limbs: [0x97082543d2be0a3165acb7ba4029ee, 0xbbfa9954466c540e4ea7938b5f4ce7, 0x005448], + }, + BigNum { + limbs: [0xc4c8739d4475765bf0e8fec7a9af22, 0xd3a3929c4bb36342213767f33397b9, 0x002c4c], + }, + BigNum { + limbs: [0xf8db8f62b9e688a40f1700385650df, 0xd3af97013194cff7b6d0a1aea46d99, 0x0047a0], + }, + BigNum { + limbs: [0x8c7a99da8938647073084001146f23, 0x948861351141f0f5093f56be4518ad, 0x000b04], + }, + BigNum { + limbs: [0x3129692575239a8f8cf7befeeb90de, 0x12cac8686c064244cec8b2e392eca6, 0x0068e9], + }, + BigNum { + limbs: [0xab88365b6035748de74346b283c145, 0xa824ff74aa74280674d32da105c40d, 0x004f97], + }, + BigNum { + limbs: [0x121bcca49e268a7218bcb84d7c3ebc, 0xff2e2a28d2d40b336334dc00d24146, 0x002455], + }, + BigNum { + limbs: [0x76d28a9be629fb69e5dad127abcc9f, 0x7efc6393c8cfe857780d4fc57e7f03, 0x003ad2], + }, + BigNum { + limbs: [0x46d17864183203961a252dd8543362, 0x2856c609b4784ae25ffab9dc598650, 0x00391b], + }, ]; diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr index 4320ae1f772a..a2391037447a 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr @@ -1,18 +1,17 @@ -use bigint::{bignum::BigNum, fields::bls12_381Fr::BLS12_381_Fr as F}; +use bigint::{bignum::{BigNum, BigNumTrait}, fields::bls12_381Fr::BLS12_381_Fr_Params}; use types::constants::FIELDS_PER_BLOB; // TODO(#9982): Delete this file and go back to using config.nr - calculating ROOTS in unconstrained is insecure. +pub type F = BigNum<3, 255, BLS12_381_Fr_Params>; + pub global LOG_FIELDS_PER_BLOB: u32 = 12; pub global EXTRA_FIELDS_PER_BLOB: u32 = 16; // 16 = floor(4096 FIELDS_PER_BLOB / 254 noir_field_bits), wasting only 32 bits. pub global NOIR_FIELDS_PER_BLOB: u32 = FIELDS_PER_BLOB + EXTRA_FIELDS_PER_BLOB; pub global FIELDS_CARRYING_AN_EXTRA_BIT_PER_BLOB: u32 = EXTRA_FIELDS_PER_BLOB * 254; // EXTRA_FIELDS_PER_BLOB * 254 = 4064. So the first 4064 bls Fr fields in the blob will carry an extra bit in their 255th bit position, that will be used to reconstitute 16 extra fields. -pub global D: F = F::from_limbs([4096, 0, 0]); -pub global D_INV: F = F::from_limbs([ - 0x686828bfce5c19400fffff00100001, - 0x6878b46ae3705eb6a46a89213de7d3, - 0x73e6, -]); +pub global D: F = BigNum { limbs: [4096, 0, 0] }; +pub global D_INV: F = + BigNum { limbs: [0x686828bfce5c19400fffff00100001, 0x6878b46ae3705eb6a46a89213de7d3, 0x73e6] }; unconstrained fn compute_level(idx_: u32) -> u32 { // Count the number of trailing ones. @@ -82,8 +81,8 @@ unconstrained fn bit_reversal_permutation(arr: [F; FIELDS_PER_BLOB]) -> [F; FIEL // x ^ i for i in 0..4096 unconstrained fn compute_powers(x: F) -> [F; FIELDS_PER_BLOB] { - let mut powers: [F; FIELDS_PER_BLOB] = [F::zero(); FIELDS_PER_BLOB]; - let mut current_power: F = F::one(); + let mut powers: [F; FIELDS_PER_BLOB] = [BigNum::zero(); FIELDS_PER_BLOB]; + let mut current_power: F = BigNum::one(); for i in 0..FIELDS_PER_BLOB { powers[i] = current_power; current_power = current_power.__mul(x); @@ -97,11 +96,9 @@ pub unconstrained fn compute_roots_of_unity() -> [F; FIELDS_PER_BLOB] { // let exp = BLS_MODULUS_SUB_1.udiv_mod(order); // let exp: F = BigNum { limbs: [ 0x553bda402fffe5bfeffffffff00000, 0x3eda753299d7d483339d80809a1d80, 0x000007 ] }; // (MODULUS - 1) // 4096 // let root_of_unity = PRIMITIVE_ROOT_OF_UNITY.__pow(exp); - let root_of_unity: F = F::from_limbs([ - 0xd1347b378fbf96e206da11a5d36306, - 0x0a11a0f704f4fc3e8acfe0f8245f0a, - 0x00564c, - ]); + let root_of_unity: F = BigNum { + limbs: [0xd1347b378fbf96e206da11a5d36306, 0x0a11a0f704f4fc3e8acfe0f8245f0a, 0x00564c], + }; let mut roots_of_unity = compute_powers(root_of_unity); bit_reversal_permutation(roots_of_unity) // bit_reversal_permutation(&mut roots_of_unity); From dc3a02718539c842ff1ca11919b8d3cf157f913a Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Thu, 15 May 2025 11:02:15 +0000 Subject: [PATCH 02/11] chore: revert to bignum master version --- .../crates/blob/Nargo.toml | 2 +- .../crates/blob/src/blob.nr | 45 +- .../crates/blob/src/blob_public_inputs.nr | 12 +- .../crates/blob/src/config.nr | 24585 ++++++++-------- .../crates/blob/src/unconstrained_config.nr | 25 +- 5 files changed, 12338 insertions(+), 12331 deletions(-) diff --git a/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml b/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml index 604c2a962de6..75d5c8fd7130 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml +++ b/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml @@ -5,6 +5,6 @@ authors = [""] compiler_version = ">=0.30.0" [dependencies] -bigint = { tag = "v0.6.1", git = "https://github.com/noir-lang/noir-bignum" } +bigint = { tag = "v0.7.1", git = "https://github.com/noir-lang/noir-bignum" } types = { path = "../types" } poseidon = { tag = "v0.1.0", git = "https://github.com/noir-lang/poseidon" } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr index 16f931366b66..42879efe2a52 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr @@ -3,7 +3,7 @@ use crate::{ config::{D_INV, LOG_FIELDS_PER_BLOB, ROOTS}, }; -use bigint::{BigNumTrait, BLS12_381_Fr as F}; +use bigint::{BigNum, BLS12_381_Fr as F}; use std::ops::{Mul, Neg}; use types::{ abis::sponge_blob::SpongeBlob, @@ -166,7 +166,7 @@ fn barycentric_evaluate_blob_at_z(z: F, ys: [F; FIELDS_PER_BLOB]) -> F { [fracs[0]], [fracs[1]], [fracs[2]], [fracs[3]], [fracs[4]], [fracs[5]], [fracs[6]], [fracs[7]], ]; - F::evaluate_quadratic_expression( + bigint::bignum::evaluate_quadratic_expression( lhs, [[false], [false], [false], [false], [false], [false], [false], [false]], rhs, @@ -199,7 +199,7 @@ fn barycentric_evaluate_blob_at_z(z: F, ys: [F; FIELDS_PER_BLOB]) -> F { // => (lhs[8*i] * rhs[8*i] + ... + lhs[8*i + 7] * rhs[8*i + 7]) + partial_sums[i-1] - partial_sums[i] == 0 let linear_terms = [partial_sums[i - 1], partial_sums[i]]; - F::evaluate_quadratic_expression( + bigint::bignum::evaluate_quadratic_expression( /* lhs */ [ [ROOTS[i * 8 + 0]], [ROOTS[i * 8 + 1]], @@ -266,7 +266,7 @@ fn compute_factor(z: F) -> F { // (z_pow_d - one) * (D_INV) - factor = 0 // z_pow_d * D_INV - D_INV - factor = 0 if !std::runtime::is_unconstrained() { - F::evaluate_quadratic_expression( + bigint::bignum::evaluate_quadratic_expression( [[z_pow_d]], [[false]], [[D_INV]], @@ -294,7 +294,7 @@ unconstrained fn __compute_fracs(z: F, ys: [F; FIELDS_PER_BLOB]) -> [F; FIELDS_P for i in 0..FIELDS_PER_BLOB { denoms[i] = z.__sub(ROOTS[i]); // (z - omega^i) } - let inv_denoms: [F; FIELDS_PER_BLOB] = F::__batch_invert(denoms); // 1 / (z - omega^i), for all i + let inv_denoms: [F; FIELDS_PER_BLOB] = bigint::bignum::batch_invert(denoms); // 1 / (z - omega^i), for all i // We're now done with `denoms` so we can reuse the allocated array to build `fracs`. let mut fracs: [F; FIELDS_PER_BLOB] = denoms; // y_i / (z - omega^i), for all i for i in 0..FIELDS_PER_BLOB { @@ -315,7 +315,7 @@ fn compute_fracs(z: F, ys: [F; FIELDS_PER_BLOB]) -> [F; FIELDS_PER_BLOB] { for i in 0..FIELDS_PER_BLOB { // frac <-- ys[i] / (z + neg_roots[i]) // frac * (z + neg_roots[i]) - ys[i] = 0 - F::evaluate_quadratic_expression( + bigint::bignum::evaluate_quadratic_expression( [[fracs[i]]], [[false]], [[z, ROOTS[i].neg()]], @@ -402,10 +402,7 @@ mod tests { config::{D, D_INV}, }; use super::{__compute_partial_sums, __compute_sum}; - use bigint::{ - BigNumTrait, BLS12_381_Fr as F, fields::bls12_381Fr::BLS12_381_Fr_Params, - params::BigNumParamsGetter, - }; + use bigint::{BigNum, BLS12_381_Fr as F}; use types::{ abis::sponge_blob::SpongeBlob, constants::{BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, @@ -503,9 +500,11 @@ mod tests { let output = evaluate_blob(blob, kzg_commitment_in, hashed_blob); // y is a BLS field with value 0x212c4f0c0ee5e7dd037110686a4639d191dde7b57ab99b51e4b06e7d827b6c4c - let expected_y: F = F { - limbs: [0xdde7b57ab99b51e4b06e7d827b6c4c, 0x4f0c0ee5e7dd037110686a4639d191, 0x212c], - }; + let expected_y: F = F::from_limbs([ + 0xdde7b57ab99b51e4b06e7d827b6c4c, + 0x4f0c0ee5e7dd037110686a4639d191, + 0x212c, + ]); assert(expected_y == output.y); } @@ -533,9 +532,11 @@ mod tests { let output = evaluate_blobs(blob, [kzg_commitment_in; BLOBS_PER_BLOCK], sponge_blob); // y is a BLS field with value 0x52fd4e272015a79f3889cc9ab1d84bee4326de7d8ced52612ecc9ec137bd38ee - let expected_y: F = F { - limbs: [0x26de7d8ced52612ecc9ec137bd38ee, 0x4e272015a79f3889cc9ab1d84bee43, 0x52fd], - }; + let expected_y: F = F::from_limbs([ + 0x26de7d8ced52612ecc9ec137bd38ee, + 0x4e272015a79f3889cc9ab1d84bee43, + 0x52fd, + ]); for j in 0..BLOBS_PER_BLOCK { assert(expected_y == output.inner[j].y); } @@ -584,14 +585,14 @@ mod tests { #[test] unconstrained fn test_barycentric() { - let z: F = F { limbs: [2, 0, 0] }; + let z: F = F::from_limbs([2, 0, 0]); // many y's form a blob: let mut ys: [F; FIELDS_PER_BLOB] = [F::zero(); FIELDS_PER_BLOB]; - ys[0] = F { limbs: [0x1234, 0, 0] }; - ys[1] = F { limbs: [0xabcd, 0, 0] }; - ys[2] = F { limbs: [0x69, 0, 0] }; + ys[0] = F::from_limbs([0x1234, 0, 0]); + ys[1] = F::from_limbs([0xabcd, 0, 0]); + ys[2] = F::from_limbs([0x69, 0, 0]); // evaluate the blob at z = 2 to yield y: let y = barycentric_evaluate_blob_at_z(z, ys); @@ -609,7 +610,7 @@ mod tests { expected_y = [0xb04cdea4304000053abffffffb203a, 0x0000000002e30785c8afa4496f8e38, 0x000000]; } - assert(y.limbs == expected_y); + assert(y.get_limbs() == expected_y); } // Helper function used to populate the hard-coded double_modulus value in the bls12381Fr.nr file in the bignum library. @@ -629,7 +630,7 @@ mod tests { #[test] unconstrained fn test_compute_double_modulus() { - let double_modulus = BLS12_381_Fr_Params::get_params().double_modulus; + let double_modulus = F::params().double_modulus; assert_eq(double_modulus, compute_double_modulus()); } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr index 8fc6a8db524e..1222d8c19bab 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr @@ -1,4 +1,4 @@ -use bigint::{BigNum, bignum::BigNumTrait, BLS12_381_Fr as F}; +use bigint::{BigNum, BLS12_381_Fr as F}; use std::ops::Add; use types::{ constants::{BLOB_PUBLIC_INPUTS, BLOBS_PER_BLOCK}, @@ -43,7 +43,7 @@ impl BlobPublicInputs { // This is not equivalent to being empty, since the challenge point z is a hash and won't have 0 value. pub fn is_zero(self) -> bool { // Note: there is no constrained is_zero in bignum - (self.y == BigNum { limbs: [0, 0, 0] }) & (self.kzg_commitment.inner == [0, 0]) + (self.y == F::zero()) & (self.kzg_commitment.inner == [0, 0]) } } @@ -57,9 +57,9 @@ impl Serialize for BlobPublicInputs { fn serialize(self) -> [Field; BLOB_PUBLIC_INPUTS] { [ self.z, - self.y.limbs[0] as Field, - self.y.limbs[1] as Field, - self.y.limbs[2] as Field, + self.y.get_limb(0) as Field, + self.y.get_limb(1) as Field, + self.y.get_limb(2) as Field, self.kzg_commitment.inner[0], self.kzg_commitment.inner[1], ] @@ -70,7 +70,7 @@ impl Deserialize for BlobPublicInputs { fn deserialize(fields: [Field; BLOB_PUBLIC_INPUTS]) -> Self { Self { z: fields[0], - y: BigNum { limbs: [fields[1] as u128, fields[2] as u128, fields[3] as u128] }, + y: F::from_limbs([fields[1] as u128, fields[2] as u128, fields[3] as u128]), kzg_commitment: BlobCommitment { inner: [fields[4], fields[5]] }, } } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr index e13c76cc95ef..92a55922401b 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/config.nr @@ -7,12297 +7,12300 @@ pub global LOG_FIELDS_PER_BLOB: u32 = 12; pub global EXTRA_FIELDS_PER_BLOB: u32 = 16; // 16 = floor(4096 FIELDS_PER_BLOB / 254 noir_field_bits), wasting only 32 bits. // pub global NOIR_FIELDS_PER_BLOB: u32 = FIELDS_PER_BLOB + EXTRA_FIELDS_PER_BLOB; // pub global FIELDS_CARRYING_AN_EXTRA_BIT_PER_BLOB: u32 = EXTRA_FIELDS_PER_BLOB * 254; // EXTRA_FIELDS_PER_BLOB * 254 = 4064. So the first 4064 bls Fr fields in the blob will carry an extra bit in their 255th bit position, that will be used to reconstitute 16 extra fields. -pub global D: F = BigNum { limbs: [4096, 0, 0] }; -pub global D_INV: F = - BigNum { limbs: [0x686828bfce5c19400fffff00100001, 0x6878b46ae3705eb6a46a89213de7d3, 0x73e6] }; +pub global D: F = F::from_limbs([4096, 0, 0]); +pub global D_INV: F = F::from_limbs([ + 0x686828bfce5c19400fffff00100001, + 0x6878b46ae3705eb6a46a89213de7d3, + 0x73e6, +]); pub global ROOTS: [F; FIELDS_PER_BLOB] = [ - BigNum { - limbs: [0x000000000000000000000000000001, 0x000000000000000000000000000000, 0x000000], - }, - BigNum { - limbs: [0xbda402fffe5bfeffffffff00000000, 0xa753299d7d483339d80809a1d80553, 0x0073ed], - }, - BigNum { - limbs: [0x030002760300000001000000000000, 0x0000000000008d51ccce760304d0ec, 0x000000], - }, - BigNum { - limbs: [0xbaa40089fb5bfefffeffff00000001, 0xa753299d7d47a5e80b39939ed33467, 0x0073ed], - }, - BigNum { - limbs: [0x8b21c28713b7007228fd3397743f7a, 0x66f603fa66e78c0625cd70d77ce2b3, 0x003457], - }, - BigNum { - limbs: [0x32824078eaa4fe8dd702cb688bc087, 0x405d25a31660a733b23a98ca5b22a0, 0x003f96], - }, - BigNum { - limbs: [0x74903694b04fd86037fe81ae99502e, 0xb22e5ce11044babc5affca86bf658e, 0x001333], - }, - BigNum { - limbs: [0x4913cc6b4e0c269fc8017d5166afd3, 0xf524ccbc6d03787d7d083f1b189fc5, 0x0060b9], - }, - BigNum { - limbs: [0xbeb312f20b6f7653ea61d87742bcce, 0xce9140267af9dd1c0af834cec32c17, 0x0020b1], - }, - BigNum { - limbs: [0xfef0f00df2ec88ac159e2688bd4333, 0xd8c1e977024e561dcd0fd4d314d93b, 0x00533b], - }, - BigNum { - limbs: [0xf4e672ebc1e1bb95df4b360411fe73, 0x596e753e4fcc6e92a9c460afca4a1e, 0x004f2c], - }, - BigNum { - limbs: [0xc8bd90143c7a436a20b4c8fbee018e, 0x4de4b45f2d7bc4a72e43a8f20dbb34, 0x0024c1], - }, - BigNum { - limbs: [0x7a6b6cfb0faca4807b811a823f728d, 0x919ec91f38ac5ccd4631f16edba496, 0x001edc], - }, - BigNum { - limbs: [0x43389604eeaf5a7f847ee47dc08d74, 0x15b4607e449bd66c91d61832fc60bd, 0x005511], - }, - BigNum { - limbs: [0xbc96af334c36bca1abb31fb37786b9, 0xf2dd7e0c63fccabf643eda8951f257, 0x0038c7], - }, - BigNum { - limbs: [0x010d53ccb225425e544cdf4c887948, 0xb475ab91194b687a73c92f188612fc, 0x003b25], - }, - BigNum { - limbs: [0x6e88fb4c38fb8a360c60997369df4e, 0x903a157988bab4bcd40e22f55448bf, 0x0050e0], - }, - BigNum { - limbs: [0x4f1b07b3c56074c9f39f658c9620b3, 0x17191423f48d7e7d03f9e6ac83bc94, 0x00230d], - }, - BigNum { - limbs: [0xbc7f62d13a6e1c3ec50c9031a36ca3, 0xc5837cb5fca206050b5832d1099726, 0x0065f6], - }, - BigNum { - limbs: [0x0124a02ec3ede2c13af36ece5c935e, 0xe1cface780a62d34ccafd6d0ce6e2d, 0x000df6], - }, - BigNum { - limbs: [0x3dc46688b5e11768cc0c58459f155b, 0x0457c83a7d9c5aea51f540eb0c0496, 0x002c7e], - }, - BigNum { - limbs: [0x7fdf9c77487ae79733f3a6ba60eaa6, 0xa2fb6162ffabd84f8612c8b6cc00bd, 0x00476f], - }, - BigNum { - limbs: [0xe943612401899720d4ed194fccfeb9, 0xda18a9d30564a8f0cfd2438f018c01, 0x005303], - }, - BigNum { - limbs: [0xd460a1dbfcd267df2b12e5b0330148, 0xcd3a7fca77e38a490835c612d67951, 0x0020e9], - }, - BigNum { - limbs: [0x317ae6451bb89de69679532ae1234c, 0x237e58fcced486fa69d8e4e48506e3, 0x000461], - }, - BigNum { - limbs: [0x8c291cbae2a361196986abd51edcb5, 0x83d4d0a0ae73ac3f6e2f24bd52fe70, 0x006f8c], - }, - BigNum { - limbs: [0x593d6ff6dab086ee5bcecc4e7773cb, 0xb16caf96816fa3a95d2d4016e2bd45, 0x00047c], - }, - BigNum { - limbs: [0x6466930923ab7811a43132b1888c36, 0xf5e67a06fbd88f907adac98af5480e, 0x006f70], - }, - BigNum { - limbs: [0xa6d195014b641082e68bc0bc50a88f, 0x5bb8ed54ae00468b04010fa5c79f62, 0x0056f3], - }, - BigNum { - limbs: [0x16d26dfeb2f7ee7d19743e43af5772, 0x4b9a3c48cf47ecaed406f9fc1065f1, 0x001cfa], - }, - BigNum { - limbs: [0x452d43f6d5756f51cb57e0e3035d15, 0xb9c6e6797777851425ea12dcacdae7, 0x001579], - }, - BigNum { - limbs: [0x7876bf0928e68fae34a81e1cfca2ec, 0xed8c432405d0ae25b21df6c52b2a6c, 0x005e73], - }, - BigNum { - limbs: [0x967f4be2f951558140d032f0a9ee53, 0x6345ec055e4d14a1e27164d8fdbd2d, 0x0045af], - }, - BigNum { - limbs: [0x2724b71d050aa97ebf2fcc0f5611ae, 0x440d3d981efb1e97f596a4c8da4826, 0x002e3e], - }, - BigNum { - limbs: [0xf20a6f5e1709899ddf46bac40ac8e4, 0x300e9079af0b916f129332ba2dfc0b, 0x0028eb], - }, - BigNum { - limbs: [0xcb9993a1e752756220b9443bf5371d, 0x77449923ce3ca1cac574d6e7aa0947, 0x004b02], - }, - BigNum { - limbs: [0xdc0ae311f00af48469ef4d246b6883, 0xad6a79b61c1a71d544f7800a7e4ae4, 0x005391], - }, - BigNum { - limbs: [0xe1991fee0e510a7b9610b1db94977e, 0xf9e8afe7612dc1649310899759ba6e, 0x00205b], - }, - BigNum { - limbs: [0x2e4312e6011bf5d941e9338fb466f7, 0x0520cdfb5d9d6c54cb86cdf73e9123, 0x0044ed], - }, - BigNum { - limbs: [0x8f60f019fd400926be16cb704b990a, 0xa2325ba21faac6e50c813baa997430, 0x002f00], - }, - BigNum { - limbs: [0x12abf7f3a89e7acf065a270f3c324f, 0x64fb4536c4fcf6ad66524f0376d9e4, 0x0054fa], - }, - BigNum { - limbs: [0xaaf80b0c55bd8430f9a5d7f0c3cdb2, 0x4257e466b84b3c8c71b5ba9e612b6f, 0x001ef3], - }, - BigNum { - limbs: [0x2a70a615d0b8e4d2fc5e69ac5db47f, 0x40ac57f86f5e293b1d67bc8de5d9a1, 0x000e48], - }, - BigNum { - limbs: [0x93335cea2da31a2d03a19553a24b82, 0x66a6d1a50dea09febaa04d13f22bb2, 0x0065a5], - }, - BigNum { - limbs: [0x1f590ef73ba2bdc0f1357a508e5e7b, 0x00aba73798bfaf59d0fc7261da7291, 0x0058c4], - }, - BigNum { - limbs: [0x9e4af408c2b9413f0eca84af71a186, 0xa6a78265e48883e0070b973ffd92c2, 0x001b29], - }, - BigNum { - limbs: [0x02e4e461e72e18ddc3b03ea91bc267, 0x785206b5761a878d670fcb570ab3b8, 0x006358], - }, - BigNum { - limbs: [0xbabf1e9e172de6223c4fc056e43d9a, 0x2f0122e8072dabac70f83e4acd519b, 0x001095], - }, - BigNum { - limbs: [0xc3ebf43c92a949a4593e1acca2cb6c, 0x8adc7bff16bae3ee1645113940cf46, 0x0053c7], - }, - BigNum { - limbs: [0xf9b80ec36bb2b55ba6c1e4335d3495, 0x1c76ad9e668d4f4bc1c2f86897360c, 0x002026], - }, - BigNum { - limbs: [0xe74ba2b75ca477f44e14739932aa33, 0x508a14adf95959d7d47f20aa9f0259, 0x0037d3], - }, - BigNum { - limbs: [0xd6586048a1b7870bb1eb8b66cd55ce, 0x56c914ef83eed9620388e8f73902f9, 0x003c1a], - }, - BigNum { - limbs: [0x9f1f01e2bbf0ac476e05bf67d4973c, 0xcc64ae610371dcd9ce528178852eaf, 0x005a50], - }, - BigNum { - limbs: [0x1e85011d426b52b891fa3f982b68c5, 0xdaee7b3c79d6566009b5882952d6a4, 0x00199c], - }, - BigNum { - limbs: [0x1ae51df978cc3878f4ee1de45ab2f2, 0x03824bef73c976407b9926e20836d2, 0x006e57], - }, - BigNum { - limbs: [0xa2bee506858fc6870b11e11ba54d0f, 0xa3d0ddae097ebcf95c6ee2bfcfce81, 0x000596], - }, - BigNum { - limbs: [0x7493f160ce4cb729b4cb21179cfb0e, 0x79931cfdd8947f799cf20f675fde6a, 0x00036b], - }, - BigNum { - limbs: [0x4910119f300f47d64b34dde86304f3, 0x2dc00c9fa4b3b3c03b15fa3a7826e9, 0x007082], - }, - BigNum { - limbs: [0x0664a566a603f98c15c05b1901cef2, 0xed2ec80a4115f20c57f6d7dc953305, 0x000afc], - }, - BigNum { - limbs: [0xb73f5d9958580573ea3fa3e6fe310f, 0xba2461933c32412d801131c542d24e, 0x0068f0], - }, - BigNum { - limbs: [0xe20d3cfc83311c0727b36db1974ef4, 0xd5fd4e2f04c5e7caaba64af676214e, 0x0028c6], - }, - BigNum { - limbs: [0xdb96c6037b2ae2f8d84c914e68b10d, 0xd155db6e78824b6f2c61beab61e404, 0x004b26], - }, - BigNum { - limbs: [0x36750f231bcd8672d73ebbe97445d5, 0x9ddec7fa8e98e4b5243a8bda7ca378, 0x000fe0], - }, - BigNum { - limbs: [0x872ef3dce28e788d28c143168bba2c, 0x097461a2eeaf4e84b3cd7dc75b61db, 0x00640d], - }, - BigNum { - limbs: [0xd0caac87f5713c5130c2c1660125be, 0x111413588742b7c68b4d7fdd60d098, 0x006898], - }, - BigNum { - limbs: [0xecd9567808eac2aecf3d3d99feda43, 0x963f1644f6057b734cba89c47734ba, 0x000b55], - }, - BigNum { - limbs: [0x30a34e5e4c7a31a0927a327c751043, 0x983de0110e23413ff88848100458b8, 0x0030d2], - }, - BigNum { - limbs: [0x8d00b4a1b1e1cd5f6d85cc838aefbe, 0x0f15498c6f24f1f9df7fc191d3ac9b, 0x00431b], - }, - BigNum { - limbs: [0x1e0777f7ef73e32ef7664cb2440ed4, 0xf5b7cb3dee5f01fe51c5b744878f5d, 0x00510d], - }, - BigNum { - limbs: [0x9f9c8b080ee81bd10899b24dbbf12d, 0xb19b5e5f8ee9313b8642525d5075f6, 0x0022df], - }, - BigNum { - limbs: [0x608393655b6d323eae9752b92f9726, 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BigNum { - limbs: [0x1e1a6bfcf82e1e2c455e524b1a4f0c, 0x9e48c18c6db7a093a40ba4d2e2e399, 0x000e02], - }, - BigNum { - limbs: [0xd96ff2cd8b2f2e472cb619daac4bd2, 0x0f2dbc497381f411d51f076e4466de, 0x00573a], - }, - BigNum { - limbs: [0xe4341032732cd0b8d349e52553b42f, 0x98256d5409c63f2802e90233939e74, 0x001cb3], - }, - BigNum { - limbs: [0xb84c544876a9c789aa8cb2686396ce, 0xa3313c8414b9bdb48d3a72566086b0, 0x006dbc], - }, - BigNum { - limbs: [0x0557aeb787b2377655734c979c6933, 0x0421ed19688e75854acd974b777ea3, 0x000631], - }, - BigNum { - limbs: [0xe7613894a9b5c86333defbe1eafec8, 0xecb3aff7822dc90fd38cadbdeab57e, 0x0051a0], - }, - BigNum { - limbs: [0xd642ca6b54a6369ccc21031e150139, 0xba9f79a5fb1a6a2a047b5be3ed4fd4, 0x00224c], - }, - BigNum { - limbs: [0xbd99d6f7d72c9825c9330c166c32b6, 0x656984a80d04d77f485529026c165c, 0x0008f3], - }, - BigNum { - limbs: [0x000a2c08272f66da36ccf2e993cd4b, 0x41e9a4f570435bba8fb2e09f6beef7, 0x006afa], - }, - BigNum { - limbs: [0x00ac7d231f0dcc77f716ad84ec3f4e, 0x66b749227bc79c2b526b533ce6736d, 0x001236], - }, - BigNum { - limbs: [0xbcf785dcdf4e328808e9517b13c0b3, 0x409be07b0180970e859cb664f191e6, 0x0061b7], - }, - BigNum { - limbs: [0x44df453062977b35a87e2790b1aa63, 0x70a52543032792c60337c3de194e28, 0x004ca4], - }, - BigNum { - limbs: [0x78c4bdcf9bc483ca5781d76f4e559e, 0x36ae045a7a20a073d4d045c3beb72b, 0x002749], - }, - BigNum { - limbs: [0x009c43f83b178b774638c79cf5dc1f, 0x3f6e8235ecae3905159358e0d38ebb, 0x0010c4], - }, - BigNum { - limbs: [0xbd07bf07c3447388b9c737630a23e2, 0x67e4a7679099fa34c274b0c1047698, 0x006329], - }, - BigNum { - limbs: [0x2a876351c2a2215759eb2f01eda387, 0xcb3d2bb78a0443275a5062c289ae5a, 0x0051ae], - }, - BigNum { - limbs: [0x931c9fae3bb9dda8a614cffe125c7a, 0xdc15fde5f343f0127db7a6df4e56f9, 0x00223e], - }, - BigNum { - limbs: [0xa8a3a7f2912453021ed75861bf15b2, 0xb5e368fea545ec1883b4b3c9abedbf, 0x0052cb], - }, - BigNum { - limbs: [0x15005b0d6d37abfde128a69e40ea4f, 0xf16fc09ed8024721545355d82c1794, 0x002121], - }, - BigNum { - limbs: [0x99bf3cadf47500466419f0acda4132, 0x0fab03bda4f931faf27e04e17cf31b, 0x004831], - }, - BigNum { - limbs: [0x23e4c65209e6feb99be60e5325becf, 0x97a825dfd84f013ee58a04c05b1238, 0x002bbc], - }, - BigNum { - limbs: [0x2af33beac6f68086ebdd53f2e05b8c, 0x18dfadf4968e6c38c06e52f5b19228, 0x003f52], - }, - BigNum { - limbs: [0x92b0c71537657e791422ab0d1fa475, 0x8e737ba8e6b9c7011799b6ac26732b, 0x00349b], - }, - BigNum { - limbs: [0x532ae018561e10623432bc97e66621, 0x7d758178f8009d3d7a7ff033103d20, 0x003c40], - }, - BigNum { - limbs: [0x6a7922e7a83dee9dcbcd42681999e0, 0x29dda824854795fc5d88196ec7c833, 0x0037ad], - }, - BigNum { - limbs: [0x5fdb8562ecaee38095506aaf2ed4e8, 0x40fa9e92971b3b44484802d2908ee1, 0x005327], - }, - BigNum { - limbs: [0x5dc87d9d11ad1b7f6aaf9450d12b19, 0x66588b0ae62cf7f58fc006cf477672, 0x0020c6], - }, - BigNum { - limbs: [0xc00587548157407cc2c1b551422388, 0x2433aacc79664fd54b05535ed75859, 0x0006c4], - }, - BigNum { - limbs: [0xfd9e7bab7d04be833d3e49aebddc79, 0x831f7ed103e1e3648d02b64300acf9, 0x006d29], - }, - BigNum { - limbs: [0xabf9af77e7e83655b9012175a8cc3b, 0xe87fd6b51c9c4226a334d73bebcb2b, 0x000b72], - }, - BigNum { - limbs: [0x11aa53881673c8aa46fedd8a5733c6, 0xbed352e860abf11334d33265ec3a28, 0x00687a], - }, - BigNum { - limbs: [0x1fbcdb53444abbab0181bccc152b72, 0xedc455355287c6bf314728f7672064, 0x0068e3], - }, - BigNum { - limbs: [0x9de727acba114354fe7e4233ead48f, 0xb98ed4682ac06c7aa6c0e0aa70e4ef, 0x000b09], - }, - BigNum { - limbs: [0x5603226dcddca5147d1e72d2b5d06e, 0xc12baea83c091f5a39e548082c8807, 0x0064a3], - }, - BigNum { - limbs: [0x67a0e092307f59eb82e18c2d4a2f93, 0xe6277af5413f13df9e22c199ab7d4c, 0x000f49], - }, - BigNum { - limbs: [0x2ed8500386c76648c8e50cb39616ec, 0xef6739da92bc569aa8da7c3ebc2a85, 0x005a31], - }, - BigNum { - limbs: [0x8ecbb2fc779498b7371af24c69e915, 0xb7ebefc2ea8bdc9f2f2d8d631bdace, 0x0019bb], - }, - BigNum { - limbs: [0xfe3a2e7b95c6469630cf3b08b533d4, 0x2a8f2e2a85919ad23e75d282b2d3b6, 0x006802], - }, - BigNum { - limbs: [0xbf69d4846895b869cf30c3f74acc2d, 0x7cc3fb72f7b698679992371f25319c, 0x000beb], - }, - BigNum { - limbs: [0xcae90dfb3c0064c6123fa45fb28c2e, 0xd4cb52a34e3d7519670d09634336d4, 0x0023ce], - }, - BigNum { - limbs: [0xf2baf504c25b9a39edc05aa04d73d3, 0xd287d6fa2f0abe2070fb003e94ce7e, 0x00501e], - }, - BigNum { - limbs: [0x5ca0f385906331980144927341bf91, 0xe145a4a45855dd7ae283294477734f, 0x006964], - }, - BigNum { - limbs: [0x61030f7a6df8cd67febb6c8cbe4070, 0xc60d84f924f255bef584e05d609204, 0x000a88], - }, - BigNum { - limbs: [0xa47df0bc824e8ea22755dfe7bb9750, 0xfb32f90ffda0d607ced8ce69bc11a9, 0x0046cf], - }, - BigNum { - limbs: [0x192612437c0d705dd8aa1f184468b1, 0xac20308d7fa75d32092f3b381bf3aa, 0x002d1d], - }, - BigNum { - limbs: [0xec958cdc54a63cc7a96c1c03278845, 0x14461e4a1131fa3b366dda348f3893, 0x000791], - }, - BigNum { - limbs: [0xd10e7623a9b5c2385693e2fcd877bc, 0x930d0b536c1638fea19a2f6d48ccbf, 0x006c5c], - }, - BigNum { - limbs: [0xb5abf8c3e544b7cec40dd9d4019abd, 0xe3e21a204627ca43fa39cf3715caad, 0x002b0f], - }, - BigNum { - limbs: [0x07f80a3c191747313bf2252bfe6544, 0xc3710f7d372068f5ddce3a6ac23aa6, 0x0048dd], - }, - BigNum { - limbs: [0x40722db5a2fdf30997af02bca933c9, 0x56c300383c82d6ab35ba4d5db3f1f7, 0x00688a], - }, - BigNum { - limbs: [0x7d31d54a5b5e0bf66850fc4356cc38, 0x5090296540c55c8ea24dbc4424135c, 0x000b63], - }, - BigNum { - limbs: [0x564fcbc247d6d6ac9cc344a8cfff5a, 0xeb803c23772e9c6afb16ff55ea304f, 0x004b12], - }, - BigNum { - limbs: [0x6754373db6852853633cba573000a7, 0xbbd2ed7a061996cedcf10a4bedd504, 0x0028da], - }, - BigNum { - limbs: [0xcdd1364d8cfacb93f88bc67b7b3721, 0x665f2b83a6deb7fdceb13345570e65, 0x0022a4], - }, - BigNum { - limbs: [0xefd2ccb27161336c0774388484c8e0, 0x40f3fe19d6697b3c0956d65c80f6ed, 0x005149], - }, - BigNum { - limbs: [0x0e9d35b6ed76adf7713ef284c069ff, 0xcf43948b469bcd431486dfe074f000, 0x002d69], - }, - BigNum { - limbs: [0xaf06cd4910e551088ec10c7b3f9602, 0xd80f951236ac65f6c38129c1631553, 0x004683], - }, - BigNum { - limbs: [0x67d80e0380c9dd297e9abd55f848ed, 0x70bfd3999432941131a1638c47aaf6, 0x002ffb], - }, - BigNum { - limbs: [0x55cbf4fc7d9221d6816541aa07b714, 0x36935603e9159f28a666a615905a5d, 0x0043f2], - }, - BigNum { - limbs: [0x8032cefe4d368500c64cd40384f439, 0xe7910a9571c7e580abd9bdea663091, 0x001d7f], - }, - BigNum { - limbs: [0x3d713401b12579ff39b32afc7b0bc8, 0xbfc21f080b804db92c2e4bb771d4c2, 0x00566d], - }, - BigNum { - limbs: [0x121d901c68c49123c031d18d8c2649, 0xd8bc987365098ce1593a825ad83ef5, 0x006fc8], - }, - BigNum { - limbs: [0xab8672e395976ddc3fce2d7273d9b8, 0xce96912a183ea6587ecd8746ffc65e, 0x000424], - }, - BigNum { - limbs: [0xe9d91c5935fd49f4b6cc71968e9630, 0xab942a7f28f2aeb5acc56ef4dd0686, 0x003414], - }, - BigNum { - limbs: [0xd3cae6a6c85eb50b49338d697169d1, 0xfbbeff1e545584842b429aacfafecc, 0x003fd8], - }, - BigNum { - limbs: [0x40d3a6dad17cfb58253c958a750acb, 0xd11e6709e3150b19cc92362eeaac79, 0x00503d], - }, - BigNum { - limbs: [0x7cd05c252cdf03a7dac369758af536, 0xd634c2939a3328200b75d372ed58da, 0x0023af], - }, - BigNum { - limbs: [0x25871b96c0742e75161473966a53f7, 0x032dedb0b892480e75bd26e4e2ccb3, 0x000e42], - }, - BigNum { - limbs: [0x981ce7693de7d08ae9eb8b6995ac0a, 0xa4253becc4b5eb2b624ae2bcf538a0, 0x0065ab], - }, - BigNum { - limbs: [0x309054dce40022360156e8b623013e, 0xbaeda02a6ff092a7ec5a61b18bafed, 0x003381], - }, - BigNum { - limbs: [0x8d13ae231a5bdcc9fea91649dcfec3, 0xec6589730d57a091ebada7f04c5566, 0x00406b], - }, - BigNum { - limbs: [0xa9d4bab0b502dd86edbea447c942d5, 0x0a33a25ac40a26f8483151cc7c8088, 0x0060a2], - }, - BigNum { - limbs: [0x13cf484f4959217912415ab836bd2c, 0x9d1f8742b93e0c418fd6b7d55b84cb, 0x00134b], - }, - BigNum { - limbs: [0x269bddbc2b9df4ce9a534745bfd613, 0xeb58904936dbdf2b8960761678b86c, 0x001fa4], - }, - BigNum { - limbs: [0x97082543d2be0a3165acb7ba4029ee, 0xbbfa9954466c540e4ea7938b5f4ce7, 0x005448], - }, - BigNum { - limbs: [0xc4c8739d4475765bf0e8fec7a9af22, 0xd3a3929c4bb36342213767f33397b9, 0x002c4c], - }, - BigNum { - limbs: [0xf8db8f62b9e688a40f1700385650df, 0xd3af97013194cff7b6d0a1aea46d99, 0x0047a0], - }, - BigNum { - limbs: [0x8c7a99da8938647073084001146f23, 0x948861351141f0f5093f56be4518ad, 0x000b04], - }, - BigNum { - limbs: [0x3129692575239a8f8cf7befeeb90de, 0x12cac8686c064244cec8b2e392eca6, 0x0068e9], - }, - BigNum { - limbs: [0xab88365b6035748de74346b283c145, 0xa824ff74aa74280674d32da105c40d, 0x004f97], - }, - BigNum { - limbs: [0x121bcca49e268a7218bcb84d7c3ebc, 0xff2e2a28d2d40b336334dc00d24146, 0x002455], - }, - BigNum { - limbs: [0x76d28a9be629fb69e5dad127abcc9f, 0x7efc6393c8cfe857780d4fc57e7f03, 0x003ad2], - }, - BigNum { - limbs: [0x46d17864183203961a252dd8543362, 0x2856c609b4784ae25ffab9dc598650, 0x00391b], - }, + F::from_limbs( + [0x000000000000000000000000000001, 0x000000000000000000000000000000, 0x000000], + ), + F::from_limbs( + [0xbda402fffe5bfeffffffff00000000, 0xa753299d7d483339d80809a1d80553, 0x0073ed], + ), + F::from_limbs( + [0x030002760300000001000000000000, 0x0000000000008d51ccce760304d0ec, 0x000000], + ), + F::from_limbs( + [0xbaa40089fb5bfefffeffff00000001, 0xa753299d7d47a5e80b39939ed33467, 0x0073ed], + ), + F::from_limbs( + [0x8b21c28713b7007228fd3397743f7a, 0x66f603fa66e78c0625cd70d77ce2b3, 0x003457], + ), + F::from_limbs( + [0x32824078eaa4fe8dd702cb688bc087, 0x405d25a31660a733b23a98ca5b22a0, 0x003f96], + ), + F::from_limbs( + [0x74903694b04fd86037fe81ae99502e, 0xb22e5ce11044babc5affca86bf658e, 0x001333], + ), + F::from_limbs( + [0x4913cc6b4e0c269fc8017d5166afd3, 0xf524ccbc6d03787d7d083f1b189fc5, 0x0060b9], + ), + F::from_limbs( + [0xbeb312f20b6f7653ea61d87742bcce, 0xce9140267af9dd1c0af834cec32c17, 0x0020b1], + ), + F::from_limbs( + [0xfef0f00df2ec88ac159e2688bd4333, 0xd8c1e977024e561dcd0fd4d314d93b, 0x00533b], + ), + F::from_limbs( + [0xf4e672ebc1e1bb95df4b360411fe73, 0x596e753e4fcc6e92a9c460afca4a1e, 0x004f2c], + ), + F::from_limbs( + [0xc8bd90143c7a436a20b4c8fbee018e, 0x4de4b45f2d7bc4a72e43a8f20dbb34, 0x0024c1], + ), + F::from_limbs( + [0x7a6b6cfb0faca4807b811a823f728d, 0x919ec91f38ac5ccd4631f16edba496, 0x001edc], + ), + F::from_limbs( + [0x43389604eeaf5a7f847ee47dc08d74, 0x15b4607e449bd66c91d61832fc60bd, 0x005511], + ), + F::from_limbs( + [0xbc96af334c36bca1abb31fb37786b9, 0xf2dd7e0c63fccabf643eda8951f257, 0x0038c7], + ), + F::from_limbs( + [0x010d53ccb225425e544cdf4c887948, 0xb475ab91194b687a73c92f188612fc, 0x003b25], + ), + F::from_limbs( + [0x6e88fb4c38fb8a360c60997369df4e, 0x903a157988bab4bcd40e22f55448bf, 0x0050e0], + ), + F::from_limbs( + [0x4f1b07b3c56074c9f39f658c9620b3, 0x17191423f48d7e7d03f9e6ac83bc94, 0x00230d], + ), + F::from_limbs( + [0xbc7f62d13a6e1c3ec50c9031a36ca3, 0xc5837cb5fca206050b5832d1099726, 0x0065f6], + ), + F::from_limbs( + [0x0124a02ec3ede2c13af36ece5c935e, 0xe1cface780a62d34ccafd6d0ce6e2d, 0x000df6], + ), + F::from_limbs( + [0x3dc46688b5e11768cc0c58459f155b, 0x0457c83a7d9c5aea51f540eb0c0496, 0x002c7e], + ), + F::from_limbs( + [0x7fdf9c77487ae79733f3a6ba60eaa6, 0xa2fb6162ffabd84f8612c8b6cc00bd, 0x00476f], + ), + F::from_limbs( + [0xe943612401899720d4ed194fccfeb9, 0xda18a9d30564a8f0cfd2438f018c01, 0x005303], + ), + F::from_limbs( + [0xd460a1dbfcd267df2b12e5b0330148, 0xcd3a7fca77e38a490835c612d67951, 0x0020e9], + ), + F::from_limbs( + [0x317ae6451bb89de69679532ae1234c, 0x237e58fcced486fa69d8e4e48506e3, 0x000461], + ), + F::from_limbs( + [0x8c291cbae2a361196986abd51edcb5, 0x83d4d0a0ae73ac3f6e2f24bd52fe70, 0x006f8c], + ), + F::from_limbs( + [0x593d6ff6dab086ee5bcecc4e7773cb, 0xb16caf96816fa3a95d2d4016e2bd45, 0x00047c], + ), + F::from_limbs( + [0x6466930923ab7811a43132b1888c36, 0xf5e67a06fbd88f907adac98af5480e, 0x006f70], + ), + F::from_limbs( + [0xa6d195014b641082e68bc0bc50a88f, 0x5bb8ed54ae00468b04010fa5c79f62, 0x0056f3], + ), + F::from_limbs( + [0x16d26dfeb2f7ee7d19743e43af5772, 0x4b9a3c48cf47ecaed406f9fc1065f1, 0x001cfa], + ), + F::from_limbs( + [0x452d43f6d5756f51cb57e0e3035d15, 0xb9c6e6797777851425ea12dcacdae7, 0x001579], + ), + F::from_limbs( + [0x7876bf0928e68fae34a81e1cfca2ec, 0xed8c432405d0ae25b21df6c52b2a6c, 0x005e73], + ), + F::from_limbs( + [0x967f4be2f951558140d032f0a9ee53, 0x6345ec055e4d14a1e27164d8fdbd2d, 0x0045af], + ), + F::from_limbs( + [0x2724b71d050aa97ebf2fcc0f5611ae, 0x440d3d981efb1e97f596a4c8da4826, 0x002e3e], + ), + F::from_limbs( + [0xf20a6f5e1709899ddf46bac40ac8e4, 0x300e9079af0b916f129332ba2dfc0b, 0x0028eb], + ), + F::from_limbs( + [0xcb9993a1e752756220b9443bf5371d, 0x77449923ce3ca1cac574d6e7aa0947, 0x004b02], + ), + F::from_limbs( + [0xdc0ae311f00af48469ef4d246b6883, 0xad6a79b61c1a71d544f7800a7e4ae4, 0x005391], + ), + F::from_limbs( + [0xe1991fee0e510a7b9610b1db94977e, 0xf9e8afe7612dc1649310899759ba6e, 0x00205b], + ), + F::from_limbs( + [0x2e4312e6011bf5d941e9338fb466f7, 0x0520cdfb5d9d6c54cb86cdf73e9123, 0x0044ed], + ), + F::from_limbs( + [0x8f60f019fd400926be16cb704b990a, 0xa2325ba21faac6e50c813baa997430, 0x002f00], + ), + F::from_limbs( + [0x12abf7f3a89e7acf065a270f3c324f, 0x64fb4536c4fcf6ad66524f0376d9e4, 0x0054fa], + ), + F::from_limbs( + [0xaaf80b0c55bd8430f9a5d7f0c3cdb2, 0x4257e466b84b3c8c71b5ba9e612b6f, 0x001ef3], + ), + F::from_limbs( + [0x2a70a615d0b8e4d2fc5e69ac5db47f, 0x40ac57f86f5e293b1d67bc8de5d9a1, 0x000e48], + ), + F::from_limbs( + [0x93335cea2da31a2d03a19553a24b82, 0x66a6d1a50dea09febaa04d13f22bb2, 0x0065a5], + ), + F::from_limbs( + [0x1f590ef73ba2bdc0f1357a508e5e7b, 0x00aba73798bfaf59d0fc7261da7291, 0x0058c4], + ), + F::from_limbs( + [0x9e4af408c2b9413f0eca84af71a186, 0xa6a78265e48883e0070b973ffd92c2, 0x001b29], + ), + F::from_limbs( + [0x02e4e461e72e18ddc3b03ea91bc267, 0x785206b5761a878d670fcb570ab3b8, 0x006358], + ), + F::from_limbs( + [0xbabf1e9e172de6223c4fc056e43d9a, 0x2f0122e8072dabac70f83e4acd519b, 0x001095], + ), + F::from_limbs( + [0xc3ebf43c92a949a4593e1acca2cb6c, 0x8adc7bff16bae3ee1645113940cf46, 0x0053c7], + ), + F::from_limbs( + [0xf9b80ec36bb2b55ba6c1e4335d3495, 0x1c76ad9e668d4f4bc1c2f86897360c, 0x002026], + ), + F::from_limbs( + [0xe74ba2b75ca477f44e14739932aa33, 0x508a14adf95959d7d47f20aa9f0259, 0x0037d3], + ), + F::from_limbs( + [0xd6586048a1b7870bb1eb8b66cd55ce, 0x56c914ef83eed9620388e8f73902f9, 0x003c1a], + ), + F::from_limbs( + [0x9f1f01e2bbf0ac476e05bf67d4973c, 0xcc64ae610371dcd9ce528178852eaf, 0x005a50], + ), + F::from_limbs( + [0x1e85011d426b52b891fa3f982b68c5, 0xdaee7b3c79d6566009b5882952d6a4, 0x00199c], + ), + F::from_limbs( + [0x1ae51df978cc3878f4ee1de45ab2f2, 0x03824bef73c976407b9926e20836d2, 0x006e57], + ), + F::from_limbs( + [0xa2bee506858fc6870b11e11ba54d0f, 0xa3d0ddae097ebcf95c6ee2bfcfce81, 0x000596], + ), + F::from_limbs( + [0x7493f160ce4cb729b4cb21179cfb0e, 0x79931cfdd8947f799cf20f675fde6a, 0x00036b], + ), + F::from_limbs( + [0x4910119f300f47d64b34dde86304f3, 0x2dc00c9fa4b3b3c03b15fa3a7826e9, 0x007082], + ), + F::from_limbs( + [0x0664a566a603f98c15c05b1901cef2, 0xed2ec80a4115f20c57f6d7dc953305, 0x000afc], + ), + F::from_limbs( + [0xb73f5d9958580573ea3fa3e6fe310f, 0xba2461933c32412d801131c542d24e, 0x0068f0], + ), + F::from_limbs( + [0xe20d3cfc83311c0727b36db1974ef4, 0xd5fd4e2f04c5e7caaba64af676214e, 0x0028c6], + ), + F::from_limbs( + [0xdb96c6037b2ae2f8d84c914e68b10d, 0xd155db6e78824b6f2c61beab61e404, 0x004b26], + ), + F::from_limbs( + [0x36750f231bcd8672d73ebbe97445d5, 0x9ddec7fa8e98e4b5243a8bda7ca378, 0x000fe0], + ), + F::from_limbs( + [0x872ef3dce28e788d28c143168bba2c, 0x097461a2eeaf4e84b3cd7dc75b61db, 0x00640d], + ), + F::from_limbs( + [0xd0caac87f5713c5130c2c1660125be, 0x111413588742b7c68b4d7fdd60d098, 0x006898], + ), + F::from_limbs( + [0xecd9567808eac2aecf3d3d99feda43, 0x963f1644f6057b734cba89c47734ba, 0x000b55], + ), + F::from_limbs( + [0x30a34e5e4c7a31a0927a327c751043, 0x983de0110e23413ff88848100458b8, 0x0030d2], + ), + F::from_limbs( + [0x8d00b4a1b1e1cd5f6d85cc838aefbe, 0x0f15498c6f24f1f9df7fc191d3ac9b, 0x00431b], + ), + F::from_limbs( + [0x1e0777f7ef73e32ef7664cb2440ed4, 0xf5b7cb3dee5f01fe51c5b744878f5d, 0x00510d], + ), + F::from_limbs( + [0x9f9c8b080ee81bd10899b24dbbf12d, 0xb19b5e5f8ee9313b8642525d5075f6, 0x0022df], + ), + F::from_limbs( + [0x608393655b6d323eae9752b92f9726, 0x1a173d90ba01c42ee040e5579a63af, 0x0015ae], + ), + F::from_limbs( + [0x5d206f9aa2eeccc15168ac46d068db, 0x8d3bec0cc3466f0af7c7244a3da1a4, 0x005e3f], + ), + F::from_limbs( + [0x136819ab9c98a27528d588439e5b12, 0x3ae1cc22ee66ae3320a20450eb9bbf, 0x001a8f], + ), + F::from_limbs( + [0xaa3be95461c35c8ad72a76bc61a4ef, 0x6c715d7a8ee18506b7660550ec6994, 0x00595e], + ), + F::from_limbs( + [0xb0deac619bda2d4000b0b3767c9928, 0x0b00588ed2cf8b98c6ffcd682aa219, 0x0035c6], + ), + F::from_limbs( + [0x0cc5569e6281d1bfff4f4b898366d9, 0x9c52d10eaa78a7a111083c39ad633a, 0x003e27], + ), + F::from_limbs( + [0x95392351a789a318d303a266992f63, 0x6bb22f520df225302664820cb7fbf4, 0x00058e], + ), + F::from_limbs( + [0x286adfae56d25be72cfc5c9966d09e, 0x3ba0fa4b6f560e09b1a3879520095f, 0x006e5f], + ), + F::from_limbs( + [0x47df05ce549e034eb4bb5cc301906f, 0xace8a4aeb40b597e225a1da4156c04, 0x007144], + ), + F::from_limbs( + [0x75c4fd31a9bdfbb14b44a23cfe6f92, 0xfa6a84eec93cd9bbb5adebfdc2994f, 0x0002a8], + ), + F::from_limbs( + [0x7d9fd5726f6b40ed9fa5c032ec0a23, 0xa72e47136966a4512dec6b0a03377e, 0x005f2f], + ), + F::from_limbs( + [0x40042d8d8ef0be12605a3ecd13f5de, 0x0024e28a13e18ee8aa1b9e97d4cdd5, 0x0014be], + ), + F::from_limbs( + [0x3accee4e32febaa4f1f87d90884c5a, 0x5f6ba59c3994a84b028e307c93637f, 0x002254], + ), + F::from_limbs( + [0x82d714b1cb5d445b0e07816f77b3a7, 0x47e7840143b38aeed579d92544a1d4, 0x005199], + ), + F::from_limbs( + [0x9fa49ec41505c948af25b254d71df9, 0xdf508052e8d9a67bb3d018ed258f03, 0x006c1c], + ), + F::from_limbs( + [0x1dff643be95635b750da4cab28e208, 0xc802a94a946e8cbe2437f0b4b27650, 0x0007d0], + ), + F::from_limbs( + [0x0af27f081250e5bddd6dacba0b1d06, 0x9b0b4fa4971529805a2b04c50efc33, 0x005b75], + ), + F::from_limbs( + [0xb2b183f7ec0b194222925245f4e2fb, 0x0c47d9f8e63309b97ddd04dcc90920, 0x001878], + ), + F::from_limbs( + [0xffeee172f8ac74095e328eda2f8e5c, 0x8571ac60a4ce0468b4bb2b446edda9, 0x002904], + ), + F::from_limbs( + [0xbdb5218d05af8af6a1cd7025d071a5, 0x21e17d3cd87a2ed1234cde5d6927a9, 0x004ae9], + ), + F::from_limbs( + [0xfd4ee83f1b2499dbe21753938adf74, 0x09b8f9797bc1d44db4c7e28c3f15cb, 0x001aa9], + ), + F::from_limbs( + [0xc0551ac0e33765241de8ab6c75208d, 0x9d9a302401865eec2340271598ef87, 0x005944], + ), + F::from_limbs( + [0xfb82877b46d20d3f0ffba2ea149337, 0x83626bca158c398677e14a8cb7e715, 0x005815], + ), + F::from_limbs( + [0xc2217b84b789f1c0f0045c15eb6cca, 0x23f0bdd367bbf9b36026bf15201e3d, 0x001bd8], + ), + F::from_limbs( + [0xf0a42ec0e52a48c009cf2b0763b3d5, 0x72b23615cf703897e487b9c664354a, 0x0054b5], + ), + F::from_limbs( + [0xccffd43f1931b63ff630d3f89c4c2c, 0x34a0f387add7faa1f3804fdb73d008, 0x001f38], + ), + F::from_limbs( + [0xbdbdcad82928c864e8c456229dfdef, 0xd2940967b1a207e780cc7312dd5371, 0x0067ad], + ), + F::from_limbs( + [0xffe63827d533369b173ba8dd620212, 0xd4bf2035cba62b52573b968efab1e1, 0x000c3f], + ), + F::from_limbs( + [0x4b0f40448ca04c44568101d845f71f, 0x150315161c3e6e8ba6f2374a655d9d, 0x005318], + ), + F::from_limbs( + [0x7294c2bb71bbb2bba97efd27ba08e2, 0x925014876109c4ae3115d25772a7b6, 0x0020d5], + ), + F::from_limbs( + [0xe21a225b58e59f1d3e494f87fd6d91, 0x8bf565feb0f7bdf7f8f0d267d1ae2a, 0x00249a], + ), + F::from_limbs( + [0xdb89e0a4a5765fe2c1b6af78029270, 0x1b5dc39ecc507541df17373a065728, 0x004f53], + ), + F::from_limbs( + [0x94a89651aca0ff810d9cff570736e9, 0x46355ac0cbecc13494e5cc0ae758c6, 0x006c43], + ), + F::from_limbs( + [0x28fb6cae51baff7ef262ffa8f8c918, 0x611dcedcb15b720543223d96f0ac8d, 0x0007aa], + ), + F::from_limbs( + [0x9486bb67912a2b440dab45cd1fac5b, 0x03d7743e9a0675583bdb136e9f86e1, 0x001a9d], + ), + F::from_limbs( + [0x291d47986d31d3bbf254b932e053a6, 0xa37bb55ee341bde19c2cf633387e72, 0x005950], + ), + F::from_limbs( + [0x6fb582ac74db12571ba2fccf28601b, 0xfa8d52f970ba51420be43501370b16, 0x001996], + ), + F::from_limbs( + [0x4dee80538980eca8e45d0230d79fe6, 0xacc5d6a40c8de1f7cc23d4a0a0fa3d, 0x005a56], + ), + F::from_limbs( + [0x8a65bc0f8e4d1ecdd815ee4d942bee, 0xa05ea5c70ef50d10f88231dde2f6e1, 0x003336], + ), + F::from_limbs( + [0x333e46f0700ee03227ea10b26bd413, 0x06f483d66e532628df85d7c3f50e72, 0x0040b7], + ), + F::from_limbs( + [0x56ab6223eff0406e175e44c490cbc0, 0x7a32e902f9e85187145dfaed820595, 0x0059dc], + ), + F::from_limbs( + [0x66f8a0dc0e6bbe91e8a1ba3b6f3441, 0x2d20409a835fe1b2c3aa0eb455ffbe, 0x001a11], + ), + F::from_limbs( + [0x4492b6f43bb51eca7dadda50f555e4, 0x9040823a88e7b6a42eb341ff879cb0, 0x006025], + ), + F::from_limbs( + [0x79114c0bc2a6e035825224af0aaa1d, 0x1712a762f4607c95a954c7a25068a3, 0x0013c8], + ), + F::from_limbs( + [0xc85f7efbd6188bb08956f964517062, 0x2b7d27b4c23e09768a7087f0cc2629, 0x001356], + ), + F::from_limbs( + [0xf54484042843734f76a9059bae8f9f, 0x7bd601e8bb0a29c34d9781b10bdf29, 0x006097], + ), + F::from_limbs( + [0xae4a21d39a23bee9dc91a650a90e49, 0x59d76ca02af7f2f3e98766f8c9185c, 0x0016c3], + ), + F::from_limbs( + [0x0f59e12c64384016236e58af56f1b8, 0x4d7bbcfd52504045ee80a2a90eecf7, 0x005d2a], + ), + F::from_limbs( + [0xc708b8b84ee699a565af7a806913be, 0x169d8ee087328d16baf2bdd5e94641, 0x002db7], + ), + F::from_limbs( + [0xf69b4a47af75655a9a50847f96ec43, 0x90b59abcf615a6231d154bcbeebf11, 0x004636], + ), + F::from_limbs( + [0xfb135ff413a356d5f57c79b59b2332, 0x73726e9409979c7943d6a33bc39345, 0x0061f2], + ), + F::from_limbs( + [0xc290a30beab8a82a0a83854a64dccf, 0x33e0bb0973b096c09431666614720d, 0x0011fb], + ), + F::from_limbs( + [0x71082d2903a1ac633d3e92c7ca8ccf, 0x59c69ed3df9941205e1bb9264c6a7c, 0x003c9f], + ), + F::from_limbs( + [0x4c9bd5d6faba529cc2c16c38357332, 0x4d8c8ac99daef21979ec507b8b9ad7, 0x00374e], + ), + F::from_limbs( + [0x409954448fd0a2dbcc4af4074489e8, 0xe4668304bec207238a67fd3278fde6, 0x001bce], + ), + F::from_limbs( + [0x7d0aaebb6e8b5c2433b50af8bb7619, 0xc2eca698be862c164da00c6f5f076d, 0x00581e], + ), + F::from_limbs( + [0x3c9d94a870e33f9df832cfdf2062ef, 0xb766f5943eadc0dcf3788fe23b2f53, 0x001325], + ), + F::from_limbs( + [0x81066e578d78bf6207cd2f20df9d12, 0xefec34093e9a725ce48f79bf9cd600, 0x0060c7], + ), + F::from_limbs( + [0x0865a899e8deff4935bd2f817f694b, 0x4098e2e9f12e6b368121ac0cf4ad0a, 0x004f9b], + ), + F::from_limbs( + [0xb53e5a66157cffb6ca42cf7e8096b6, 0x66ba46b38c19c80356e65d94e35849, 0x002452], + ), + F::from_limbs( + [0x505ce32828420562b851e3d2a34df5, 0x0aa154b7afb7604ccbce3186331764, 0x00663d], + ), + F::from_limbs( + [0x6d471fd7d619f99d47ae1b2d5cb20c, 0x9cb1d4e5cd90d2ed0c39d81ba4edef, 0x000db0], + ), + F::from_limbs( + [0x39e2b6fbd943d0adc24eba36b7578e, 0x29432977ae6a072570e877993c3d74, 0x005a06], + ), + F::from_limbs( + [0x83c14c0425182e523db144c948a873, 0x7e100025cede2c14671f92089bc7df, 0x0019e7], + ), + F::from_limbs( + [0xcc59c903893ca8829235424bc52016, 0x03442f2fb2879a8a9d78c4fed2b2ba, 0x004d35], + ), + F::from_limbs( + [0xf14a39fc751f567d6dcabcb43adfeb, 0xa40efa6dcac098af3a8f44a3055298, 0x0026b8], + ), + F::from_limbs( + [0x8469e061a1c6905718b817f3ccad48, 0x97adfcf78a922bf7a6f6d02f061235, 0x005335], + ), + F::from_limbs( + [0x393a229e5c956ea8e747e70c3352b9, 0x0fa52ca5f2b6074231113972d1f31e, 0x0020b8], + ), + F::from_limbs( + [0x275f891994324c998731ee0c78437a, 0x57052117e1e151ea52ef08f1e06c38, 0x004ba3], + ), + F::from_limbs( + [0x964479e66a29b26678ce10f387bc87, 0x504e08859b66e14f851900aff7991b, 0x00284a], + ), + F::from_limbs( + [0xdcd43dec9acd7108993b54226b7f93, 0x3f58561023a7fa481d537345cf6530, 0x004208], + ), + F::from_limbs( + [0xe0cfc513638e8df766c4aadd94806e, 0x67fad38d59a038f1bab4965c08a022, 0x0031e5], + ), + F::from_limbs( + [0xb309ae850664dec3e268216bdc4a30, 0x6d8cebced82bc53c32396daedbf90a, 0x000c11], + ), + F::from_limbs( + [0x0a9a547af7f7203c1d97dd9423b5d1, 0x39c63dcea51c6dfda5ce9bf2fc0c49, 0x0067dc], + ), + F::from_limbs( + [0x10ed5bae398c9c164881d4baa8a72e, 0x37284ec1415dde48a52a93151b352e, 0x004432], + ), + F::from_limbs( + [0xacb6a751c4cf62e9b77e2a455758d3, 0x702adadc3bea54f132dd768cbcd025, 0x002fbb], + ), + F::from_limbs( + [0x7fcad29e98164375352d72a0c9539a, 0xe61a3a2a9b39fcf3ec5eda0ddb53a0, 0x0042a2], + ), + F::from_limbs( + [0x3dd930616645bb8acad28c5f36ac67, 0xc138ef72e20e3645eba92f93fcb1b3, 0x00314a], + ), + F::from_limbs( + [0x72c833e4cf3499ecbf5d6f01ea2fe8, 0xdb96249a23e969ac30e42135fbc427, 0x00485a], + ), + F::from_limbs( + [0x4adbcf1b2f27651340a28ffe15d019, 0xcbbd0503595ec98da723e86bdc412c, 0x002b92], + ), + F::from_limbs( + [0xf67b913ee947b92fef56114b49c75d, 0x15ee4db709aa6e492ff0b0d05658b6, 0x0002b3], + ), + F::from_limbs( + [0xc72871c1151445d010a9edb4b638a4, 0x9164dbe6739dc4f0a81758d181ac9c, 0x00713a], + ), + F::from_limbs( + [0x576cd5a085170dfba96832adfa9266, 0x0f08c01d85df59b31745ff67db9e8b, 0x004e34], + ), + F::from_limbs( + [0x66372d5f7944f1045697cc52056d9b, 0x984a697ff768d986c0c20a39fc66c8, 0x0025b9], + ), + F::from_limbs( + [0x0bf5a0bea3c2ee335ab15ecceb6a2d, 0xf883ceaa889c7f2b1554800870c74e, 0x005daf], + ), + F::from_limbs( + [0xb1ae62415a9910cca54ea0331495d4, 0xaecf5af2f4abb40ec2b38999673e05, 0x00163d], + ), + F::from_limbs( + [0xce26afb69019f7ee3b38a3813633f1, 0xacd7204034884021f50f21b39e1d96, 0x006743], + ), + F::from_limbs( + [0xef7d53496e420711c4c75b7ec9cc10, 0xfa7c095d48bff317e2f8e7ee39e7bc, 0x000ca9], + ), + F::from_limbs( + [0xa0eb428f0d8dccd165b2490ec7254e, 0x4dd24ebf1658766f71f92679eccdd9, 0x000959], + ), + F::from_limbs( + [0x1cb8c070f0ce322e9a4db5f138dab3, 0x5980dade66efbcca660ee327eb377a, 0x006a94], + ), + F::from_limbs( + [0x8df3051d69e220022193b333c3b855, 0x287007cdc98e2e1a54f5ed6dac0e6e, 0x003683], + ), + F::from_limbs( + [0x2fb0fde29479defdde6c4bcc3c47ac, 0x7ee321cfb3ba051f83121c342bf6e5, 0x003d6a], + ), + F::from_limbs( + [0xafcb31434545d82efcfdaf4e265ab7, 0xb48988b9dbae9a54b1f2bebcea8bca, 0x002fb2], + ), + F::from_limbs( + [0x0dd8d1bcb91626d103024fb1d9a54a, 0xf2c9a0e3a19998e526154ae4ed7989, 0x00443a], + ), + F::from_limbs( + [0x730e303c173e1c090bcdd715521bb1, 0x7940ac524648faaf9f04b421b462f2, 0x0046aa], + ), + F::from_limbs( + [0x4a95d2c3e71de2f6f43227eaade450, 0x2e127d4b36ff388a3903558023a261, 0x002d43], + ), + F::from_limbs( + [0xa69d8f42e2c25b26dd05e4c4aec099, 0x5a6d7f643b5a2dee35b6cf12739eaf, 0x003dc4], + ), + F::from_limbs( + [0x170673bd1b99a3d922fa1a3b513f68, 0x4ce5aa3941ee054ba2513a8f6466a4, 0x003629], + ), + F::from_limbs( + [0x3d29335383e69a148277eef8c0a297, 0x64192e295d851bd07fc9fc34abead9, 0x00328f], + ), + F::from_limbs( + [0x807acfac7a7564eb7d8810073f5d6a, 0x4339fb741fc31769583e0d6d2c1a7a, 0x00415e], + ), + F::from_limbs( + [0x2c84f3154125602cabadec2fe322b8, 0xda59a33dcbf232a732ae1a3b0aef75, 0x002e95], + ), + F::from_limbs( + [0x911f0feabd369ed3545212d01cdd49, 0xccf9865fb1560092a559ef66cd15de, 0x004557], + ), + F::from_limbs( + [0x7570b00fca5c9a520c8c4d748fb509, 0x55665267f0974b35861cb1da153a8b, 0x003d06], + ), + F::from_limbs( + [0x483352f033ff64adf373b18b704af8, 0x51ecd7358cb0e80451eb57c7c2cac8, 0x0036e7], + ), + F::from_limbs( + [0x330977b7a8bfe99ca730e689c0bf9e, 0x7d2fce8520d1f5109fa0d7553d937a, 0x0000aa], + ), + F::from_limbs( + [0x8a9a8b48559c156358cf18763f4063, 0x2a235b185c763e293867324c9a71d9, 0x007343], + ), + F::from_limbs( + [0x4628b567af1bb4e3d5dbe0d2f73e41, 0xb74a12568801be1e72f2066186fa64, 0x006eca], + ), + F::from_limbs( + [0x777b4d984f404a1c2a241e2d08c1c0, 0xf0091746f546751b65160340510aef, 0x000522], + ), + F::from_limbs( + [0x5f56946340fdfc3b2bcdccf1ec7b16, 0x9e7e1c0691a3bae4d7a5261114f26f, 0x0055e2], + ), + F::from_limbs( + [0x5e4d6e9cbd5e02c4d432320e1384eb, 0x08d50d96eba478550062e390c312e4, 0x001e0b], + ), + F::from_limbs( + [0x01cd8bef1b22603e16064aa9a77770, 0x214dfb1c37d97fb60b67a741a4eee4, 0x006635], + ), + F::from_limbs( + [0xbbd67710e3399ec1e9f9b456588891, 0x86052e81456eb383cca0626033166f, 0x000db8], + ), + F::from_limbs( + [0xab3ea313c630b6754ceec2fde25881, 0x29cbca5aa4231b2b2fbdb88c0832f1, 0x002043], + ), + F::from_limbs( + [0x12655fec382b488ab3113c021da780, 0x7d875f42d925180ea84a5115cfd262, 0x0053aa], + ), + F::from_limbs( + [0x54e5045f96bdb5b46b6df596ba6ecf, 0xd3064ba6d18615e83527ce053b131c, 0x0055e9], + ), + F::from_limbs( + [0x68befea0679e494b94920969459132, 0xd44cddf6abc21d51a2e03b9c9cf237, 0x001e03], + ), + F::from_limbs( + [0x54642678ea64b7408a86452d1142b4, 0x14a479d7e1869cfafd436d7b412b06, 0x005c62], + ), + F::from_limbs( + [0x693fdc8713f747bf7579b9d2eebd4d, 0x92aeafc59bc1963edac49c2696da4d, 0x00178b], + ), + F::from_limbs( + [0x771d65b2ee56d3198a034b1e705c0e, 0x117113c5d5a3e04369454396c3893c, 0x00255c], + ), + F::from_limbs( + [0x46869d4d10052be675fcb3e18fa3f3, 0x95e215d7a7a452f66ec2c60b147c17, 0x004e91], + ), + F::from_limbs( + [0xc93f37bda7b84b0c06f42c4fa19fd3, 0xbb72051a32b8635dba604a48d7ba10, 0x003d0b], + ), + F::from_limbs( + [0xf464cb4256a3b3f3f90bd2b05e602e, 0xebe124834a8fcfdc1da7bf59004b42, 0x0036e1], + ), + F::from_limbs( + [0x7d52a475e8ce1152a4c44c49a49f1e, 0x1bd32e1843bc1a3ef55558b56d6d42, 0x006dee], + ), + F::from_limbs( + [0x40515e8a158dedad5b3bb2b65b60e3, 0x8b7ffb85398c18fae2b2b0ec6a9811, 0x0005ff], + ), + F::from_limbs( + [0x4ef4c6bf3fe0c6c7ea608db8cd652c, 0x7ca6fc96f67ff5389b96856be8b140, 0x001df5], + ), + F::from_limbs( + [0x6eaf3c40be7b3838159f7147329ad5, 0x2aac2d0686c83e013c718435ef5413, 0x0055f8], + ), + F::from_limbs( + [0x38cc4f07468cebd78b1ef5748164e7, 0x56c04012bb93b8a0671498f387398d, 0x005e68], + ), + F::from_limbs( + [0x84d7b3f8b7cf132874e1098b7e9b1a, 0x5092e98ac1b47a9970f370ae50cbc6, 0x001585], + ), + F::from_limbs( + [0x6041cee0c4bdac8586e7bf3217bc38, 0x75545a9dcb2faf33b868f0e27d4ed6, 0x000a79], + ), + F::from_limbs( + [0x5d62341f399e527a79183fcde843c9, 0x31feceffb21884061f9f18bf5ab67d, 0x006974], + ), + F::from_limbs( + [0x8111d9b58068eda22cb0c0043581b8, 0x5f69535823b4eea87dbd8b3e7293c0, 0x004118], + ), + F::from_limbs( + [0x3c92294a7df3115dd34f3efbca7e49, 0x47e9d645599344915a4a7e63657193, 0x0032d5], + ), + F::from_limbs( + [0x01fb897d05b8538dfcd4912667f55f, 0x2898a7c259a810a20368471f6635e8, 0x0064e3], + ), + F::from_limbs( + [0xbba87982f8a3ab72032b6dd9980aa2, 0x7eba81db23a02297d49fc28271cf6b, 0x000f0a], + ), + F::from_limbs( + [0x6cbfc87f549eb20f15758baad3fcf4, 0x7eef82a73dc4782fd931be0cba8ab0, 0x0018e1], + ), + F::from_limbs( + [0x50e43a80a9bd4cf0ea8a73552c030d, 0x2863a6f63f83bb09fed64b951d7aa3, 0x005b0c], + ), + F::from_limbs( + [0x04a2294bb265301622dd5a6889a8e8, 0x0e0589dd793aa51bfee012ab18ba91, 0x00362f], + ), + F::from_limbs( + [0xb901d9b44bf6cee9dd22a497765719, 0x994d9fc0040d8e1dd927f6f6bf4ac2, 0x003dbe], + ), + F::from_limbs( + [0x1b8dd0e729d15d3f10f3a9abb257e1, 0x83b64fd60550e6c6e2fafbc3c935b1, 0x003718], + ), + F::from_limbs( + [0xa2163218d48aa1c0ef0c55544da820, 0x239cd9c777f74c72f50d0dde0ecfa2, 0x003cd5], + ), + F::from_limbs( + [0xc59162052451257675b5beeb6153ca, 0x7850ce28f03eea18ac2f59bed4eb36, 0x004405], + ), + F::from_limbs( + [0xf812a0fada0ad9898a4a40149eac37, 0x2f025b748d0949212bd8afe3031a1c, 0x002fe8], + ), + F::from_limbs( + [0x80f5ffdc6ac2e316a9e3e795d08887, 0xba2e026f2459a189d7e4af45dab593, 0x000688], + ), + F::from_limbs( + [0x3cae032393991be9561c176a2f777a, 0xed25272e58ee91b000235a5bfd4fc0, 0x006d64], + ), + F::from_limbs( + [0x78af6ba70b7705f1af8f454525fd66, 0xb1110b25238c7d7128741250354861, 0x004c33], + ), + F::from_limbs( + [0x44f49758f2e4f90e5070b9bada029b, 0xf6421e7859bbb5c8af93f751a2bcf2, 0x0027b9], + ), + F::from_limbs( + [0x3ec884963a020ab3e6eed5afa1109b, 0xced439e3c7897f5870bc08c4081661, 0x005db4], + ), + F::from_limbs( + [0x7edb7e69c459f44c191129505eef66, 0xd87eefb9b5beb3e1674c00ddcfeef2, 0x001638], + ), + F::from_limbs( + [0xffa1a105df6b8a7429c1fa7a88c247, 0xe1cbced44b4c46145a561c41e22acf, 0x000701], + ), + F::from_limbs( + [0xbe0261fa1ef0748bd63e0485773dba, 0xc5875ac931fbed257db1ed5ff5da83, 0x006ceb], + ), + F::from_limbs( + [0x72266b93838c16cd4b696e7ea423f1, 0x1336b5ca226c34c543b8647ce9de4c, 0x000c72], + ), + F::from_limbs( + [0x4b7d976c7acfe832b49690815bdc10, 0x941c73d35adbfe74944fa524ee2707, 0x00677b], + ), + F::from_limbs( + [0x6a4f579172314a0ff8423daf2fdb50, 0xfcd83aa5a469524e3a763bb50b0994, 0x0054c0], + ), + F::from_limbs( + [0x5354ab6e8c2ab4f007bdc150d024b1, 0xaa7aeef7d8dee0eb9d91cdecccfbbf, 0x001f2c], + ), + F::from_limbs( + [0x2feb30d6711c70e95f38660e9d1536, 0xd7d20dac46ed6eae360ede81eba8db, 0x000832], + ), + F::from_limbs( + [0x8db8d2298d3f8e16a0c798f162eacb, 0xcf811bf1365ac48ba1f92b1fec5c78, 0x006bba], + ), + F::from_limbs( + [0x0e24ef2f570c8a24438957b3e25619, 0x0e58dcdd8ce7f82295c732d111a2b2, 0x001a66], + ), + F::from_limbs( + [0xaf7f13d0a74f74dbbc76a74c1da9e8, 0x98fa4cbff0603b174240d6d0c662a1, 0x005987], + ), + F::from_limbs( + [0xa33e0d6b4dc2d87ee857bf1f253512, 0x8b55856bf49320c8b3bf4746e7abf6, 0x004877], + ), + F::from_limbs( + [0x1a65f594b099268117a83fe0dacaef, 0x1bfda43188b512712448c25af0595d, 0x002b76], + ), + F::from_limbs( + [0x1764ae9a77652c25c83bb50749f0af, 0x7bc7ac9a877903f012dba811a16818, 0x005e0b], + ), + F::from_limbs( + [0xa63f546586f6d2da37c449f8b60f52, 0x2b8b7d02f5cf2f49c52c6190369d3b, 0x0015e2], + ), + F::from_limbs( + [0xca8e5c4d2dc5ffd2878366fcec15ba, 0x702dd52769aebdb6bf288d790d89bd, 0x005d19], + ), + F::from_limbs( + [0xf315a6b2d095ff2d787c980313ea47, 0x372554761399758318df7c28ca7b95, 0x0016d4], + ), + F::from_limbs( + [0x3d7e9803ec74e17a030cc2de5db52b, 0xdbf168716b60e5789556beff8edeb6, 0x001d12], + ), + F::from_limbs( + [0x80256afc11e71d85fcf33c21a24ad6, 0xcb61c12c11e74dc142b14aa249269d, 0x0056da], + ), + F::from_limbs( + [0x7d166d26d7d13fef678c866ccd32d7, 0x1642c7524b471810c6122bee51ba89, 0x00725d], + ), + F::from_limbs( + [0x408d95d9268abf109873789332cd2a, 0x9110624b32011b2911f5ddb3864aca, 0x000190], + ), + F::from_limbs( + [0x03788dd25be1b072994949fe8dda46, 0x315227033bb160f1e69f8f0320b088, 0x00622c], + ), + F::from_limbs( + [0xba2b752da27a4e8d66b6b5017225bb, 0x7601029a4196d247f1687a9eb754cb, 0x0011c1], + ), + F::from_limbs( + [0x785fd8b3542a38a4a7a41d55234864, 0x2b04f3a711b74789f746a17afd9bde, 0x00241f], + ), + F::from_limbs( + [0x45442a4caa31c65b585be1aadcb79d, 0x7c4e35f66b90ebafe0c16826da6975, 0x004fce], + ), + F::from_limbs( + [0xbff88c0b7e4246f003cd6e73efb611, 0x0fdde70e992d0cc516e3bb219c82aa, 0x00146d], + ), + F::from_limbs( + [0xfdab76f48019b80ffc32908c1049f0, 0x9775428ee41b2674c1244e803b82a8, 0x005f80], + ), + F::from_limbs( + [0x40e7eb01aad13b85caa34fd9b2b6ce, 0xb1d9346b1f74337b8c94b4e3a208e5, 0x007275], + ), + F::from_limbs( + [0x7cbc17fe538ac37a355caf264d4933, 0xf579f5325dd3ffbe4b7354be35fc6e, 0x000177], + ), + F::from_limbs( + [0x679941d7e3344ac1f99b485bb67d21, 0xd9e4727786c36067482e2d9445f9ef, 0x005aef], + ), + F::from_limbs( + [0x560ac1281b27b43e0664b6a44982e0, 0xcd6eb725f684d2d28fd9dc0d920b64, 0x0018fd], + ), + F::from_limbs( + [0xda7cb26fe41c7fe6b19f0b5eadf9cb, 0x1c67b10780e18ea3e9254dbb27ead7, 0x001c02], + ), + F::from_limbs( + [0xe32750901a3f7f194e60f3a1520636, 0x8aeb7895fc66a495eee2bbe6b01a7b, 0x0057eb], + ), + F::from_limbs( + [0xafd9f0df88a27eefe8ef07b5048efa, 0x742370737a124164b50a572c9c65ee, 0x000ad7], + ), + F::from_limbs( + [0x0dca122075b980101710f74afb7107, 0x332fb92a0335f1d522fdb2753b9f65, 0x006916], + ), + F::from_limbs( + [0xde4d06174139246cfaf4c817c13fe6, 0x0e1ec7a28bb857f5f1a3b50f2b7f30, 0x0000c5], + ), + F::from_limbs( + [0xdf56fce8bd22da93050b36e83ec01b, 0x993461faf18fdb43e6645492ac8622, 0x007328], + ), + F::from_limbs( + [0x42551c91b1af3382fe7994226a7881, 0x30fb21510ba3cb52d65ec3b820f174, 0x005b33], + ), + F::from_limbs( + [0x7b4ee66e4caccb7d01866add958780, 0x7658084c71a467e701a945e9b713df, 0x0018ba], + ), + F::from_limbs( + [0x97168a3a6000fe4541b8ff2ee0434e, 0x66525526a65439feec240d80689fd6, 0x000951], + ), + F::from_limbs( + [0x268d78c59e5b00babe46ffd11fbcb3, 0x4100d476d6f3f93aebe3fc216f657d, 0x006a9c], + ), + F::from_limbs( + [0xa07e9cbe5a10af2a5e7b785841a1da, 0xb67ad287bb0f9589c90d5aa47634ea, 0x00668d], + ), + F::from_limbs( + [0x1d256641a44b4fd5a18486a7be5e27, 0xf0d85715c2389db00efaaefd61d069, 0x000d5f], + ), + F::from_limbs( + [0x6c91b560c5b82c9b2ee1a0bf112931, 0xdc55e43f779e0eace99e48f3d3cad6, 0x00243a], + ), + F::from_limbs( + [0x51124d9f38a3d264d11e5e40eed6d0, 0xcafd455e05aa248cee69c0ae043a7d, 0x004fb2], + ), + F::from_limbs( + [0x424f00b1a2b32fa0eaaaa3583a6b80, 0x91a1889c6ab2045e7a34773491a611, 0x003362], + ), + F::from_limbs( + [0x7b55024e5ba8cf5f15555ba7c59481, 0x15b1a10112962edb5dd3926d465f42, 0x00408b], + ), + F::from_limbs( + [0x0c078154d7c539a4c94125ad9dc176, 0x0931b15c62562ce4ba2c4bf31f353e, 0x006905], + ), + F::from_limbs( + [0xb19c81ab2696c55b36bed952623e8b, 0x9e2178411af206551ddbbdaeb8d015, 0x000ae8], + ), + F::from_limbs( + [0x9ad324193961627372e26d5720949f, 0x2ca6312ad70d5e3ab4ed8e1c3483aa, 0x0004a4], + ), + F::from_limbs( + [0x22d0dee6c4fa9c8c8d1d91a8df6b62, 0x7aacf872a63ad4ff231a7b85a381a9, 0x006f49], + ), + F::from_limbs( + [0xdf8723cf6834a9b16c92903c30681c, 0x7af602a41b0e4a7055b0fa4b32af44, 0x002a33], + ), + F::from_limbs( + [0xde1cdf309627554e936d6ec3cf97e5, 0x2c5d26f96239e8c982570f56a5560e, 0x0049ba], + ), + F::from_limbs( + [0xa005008f5fa2fe6cd888c85ca05ae9, 0xeeb1a28cdf1a91ecc533285f28b4ad, 0x001b61], + ), + F::from_limbs( + [0x1d9f02709eb90093277736a35fa518, 0xb8a187109e2da14d12d4e142af50a6, 0x00588b], + ), + F::from_limbs( + [0xec083a342b6152dc6c5431b7a01194, 0x444efe927bc8a141881064cd54d304, 0x002aaf], + ), + F::from_limbs( + [0xd19bc8cbd2faac2393abcd485fee6d, 0x63042b0b017f91f84ff7a4d483324e, 0x00493e], + ), + F::from_limbs( + [0xbf1d8539e5c50b799bd1773c3aadf2, 0xd6eec90f1e192c0cc5b558b3509c77, 0x00455e], + ), + F::from_limbs( + [0xfe867dc61896f386642e87c3c5520f, 0xd064608e5f2f072d1252b0ee8768db, 0x002e8e], + ), + F::from_limbs( + [0x4148b024d3ffa61cfd232fb7ac2d01, 0x8edaee2eeaed1ac42c62e56cb955a3, 0x0058ad], + ), + F::from_limbs( + [0x7c5b52db2a5c58e302dccf4853d300, 0x18783b6e925b1875aba524351eafb0, 0x001b40], + ), + F::from_limbs( + [0x8bf3cd9093c0a2b6e7d38c824464d3, 0x5f24ab69299e82782d7daff3118923, 0x00223a], + ), + F::from_limbs( + [0x31b0356f6a9b5c49182c727dbb9b2e, 0x482e7e3453a9b0c1aa8a59aec67c30, 0x0051b3], + ), + F::from_limbs( + [0xd0cb7ff2325177578545b4e64baae6, 0x86f9eb22d5720a288c1ac768fd31db, 0x00344b], + ), + F::from_limbs( + [0xecd8830dcc0a87a87aba4a19b4551b, 0x20593e7aa7d629114bed4238dad377, 0x003fa2], + ), + F::from_limbs( + [0x49071f297def3c20da606ff4a3ba2b, 0x096ad9987ad9cbf93d062b4fda502a, 0x0072bf], + ), + F::from_limbs( + [0x749ce3d6806cc2df259f8f0b5c45d6, 0x9de85005026e67409b01de51fdb529, 0x00012e], + ), + F::from_limbs( + [0x9d3446b5219ed92c78c12b5913ffa2, 0x02082ceecbc03f01ab9eac85850baf, 0x0049e6], + ), + F::from_limbs( + [0x206fbc4adcbd25d3873ed3a6ec005f, 0xa54afcaeb187f4382c695d1c52f9a4, 0x002a07], + ), + F::from_limbs( + [0xb7b50e5693aeb64287ce1144fcf019, 0x4f3eb4931089c5be3aa28cfc810120, 0x00352c], + ), + F::from_limbs( + [0x05eef4a96aad48bd7831edbb030fe8, 0x5814750a6cbe6d7b9d657ca5570433, 0x003ec1], + ), + F::from_limbs( + [0x30d9ac186fc5451f5753e3ccc4922e, 0x33f624c17d074b024c21cfa2302540, 0x0041ae], + ), + F::from_limbs( + [0x8cca56e78e96b9e0a8ac1b333b6dd3, 0x735d04dc0040e8378be639ffa7e013, 0x00323f], + ), + F::from_limbs( + [0x4de56daf67ef102318f1f6844036ac, 0x01b7108f6c67604297e1df5b7fe9fe, 0x007097], + ), + F::from_limbs( + [0x6fbe9550966ceedce70e087bbfc955, 0xa59c190e10e0d2f740262a46581b55, 0x000356], + ), + F::from_limbs( + [0xdc15bbb51c14b8bde69ad1be866e28, 0x4d702f536f1aef56d22dab86198a12, 0x005741], + ), + F::from_limbs( + [0xe18e474ae247464219652d417991d9, 0x59e2fa4a0e2d43e305da5e1bbe7b40, 0x001cac], + ), + F::from_limbs( + [0x148b46fc8a9536b994f7e88da69099, 0xc54dedb0dd5c00f2b6fdeb2434990d, 0x0054a9], + ), + F::from_limbs( + [0xa918bc0373c6c8466b081672596f68, 0xe2053bec9fec3247210a1e7da36c46, 0x001f43], + ), + F::from_limbs( + [0xe0344c49d79b66f214cc49a9ca287b, 0x7bd852e497f37956c16f3a78ae28ee, 0x0051ec], + ), + F::from_limbs( + [0xdd6fb6b626c0980deb33b55635d786, 0x2b7ad6b8e554b9e31698cf2929dc64, 0x002201], + ), + F::from_limbs( + [0x29e9208281d2988e92a08175236817, 0x8c4fc8876304b7701b97622a206b2e, 0x000f79], + ), + F::from_limbs( + [0x93bae27d7c8966716d5f7d8adc97ea, 0x1b0361161a437bc9bc70a777b79a25, 0x006474], + ), + F::from_limbs( + [0x2d67a18dc838277b51fa789fe811c1, 0x6d59e26f95d8df3b80de686838f4c0, 0x00420a], + ), + F::from_limbs( + [0x903c61723623d784ae05866017ee40, 0x39f9472de76f53fe5729a1399f1093, 0x0031e3], + ), + F::from_limbs( + [0x98ce89ad3c4462f52172b7909c822f, 0x0f6f20aebd433bab579958add5d563, 0x000238], + ), + F::from_limbs( + [0x24d57952c2179c0ade8d476f637dd2, 0x97e408eec004f78e806eb0f4022ff0, 0x0071b5], + ), + F::from_limbs( + [0xad8bd407c8c41c02e2f94cd781d69e, 0xec60d8a45e9d074f9aa0ec1140c136, 0x0017c1], + ), + F::from_limbs( + [0x10182ef83597e2fd1d06b2287e2963, 0xbaf250f91eab2bea3d671d9097441d, 0x005c2b], + ), + F::from_limbs( + [0x0d246202280193fea7c33496a345f2, 0xbad21bb26cbe0156dd6f2d56b9c192, 0x0059a2], + ), + F::from_limbs( + [0xb07fa0fdd65a6b01583cca695cba0f, 0xec810deb108a31e2fa98dc4b1e43c1, 0x001a4a], + ), + F::from_limbs( + [0xb9bbd9b0a3590b2ee4c0317b41459b, 0x8c1a3548e372b5c82a603c67a3a3ba, 0x0016fd], + ), + F::from_limbs( + [0x03e8294f5b02f3d11b3fcd84beba66, 0x1b38f45499d57d71ada7cd3a346199, 0x005cf0], + ), + F::from_limbs( + [0xc58a0b042cd4dc35d1ae71abd0a54d, 0x72419d80770cd6be007959cfa1c61b, 0x001793], + ), + F::from_limbs( + [0xf819f7fbd18722ca2e518d542f5ab4, 0x35118c1d063b5c7bd78eafd2363f37, 0x005c5a], + ), + F::from_limbs( + [0x712f65dddcac5339a8f2d056a4027d, 0x8447f4db2f2599713674356834f476, 0x0059ac], + ), + F::from_limbs( + [0x4c749d2221afabc6570d2ea95bfd84, 0x230b34c24e2299c8a193d439a310dd, 0x001a41], + ), + F::from_limbs( + [0x620b99aa201e9b7554cb01f596606f, 0x550e339064cc77fc010ff1bb87e048, 0x0000de], + ), + F::from_limbs( + [0x5b986955de3d638aab34fd0a699f92, 0x5244f60d187bbb3dd6f817e650250b, 0x00730f], + ), + F::from_limbs( + [0x7feef21aa1455b1985e5010d1e28f9, 0xf7d7a6997c064a244131970ee26e59, 0x005cf3], + ), + F::from_limbs( + [0x3db510e55d16a3e67a1afdf2e1d708, 0xaf7b83040141e91596d67292f596fa, 0x0016f9], + ), + F::from_limbs( + [0xef0eef02e9618bbf1b369c0a8445b6, 0x330063d404e1d74a7534d0a5cfbcaf, 0x006be4], + ), + F::from_limbs( + [0xce9513fd14fa7340e4c962f57bba4b, 0x7452c5c978665bef62d338fc0848a3, 0x000809], + ), + F::from_limbs( + [0x42f05b2dd0efa96d4b3d6d88b9ec49, 0x2dcdcaf325db8a076a0804aaf03d6b, 0x005a7e], + ), + F::from_limbs( + [0x7ab3a7d22d6c5592b4c291774613b8, 0x79855eaa576ca9326e0004f6e7c7e8, 0x00196f], + ), + F::from_limbs( + [0x278442906cdcb997c7058ee0f32403, 0x15d0bc7ed9cb8c826031662df9e760, 0x006c7a], + ), + F::from_limbs( + [0x961fc06f917f456838fa701f0cdbfe, 0x91826d1ea37ca6b777d6a373de1df3, 0x000773], + ), + F::from_limbs( + [0x81b9b0030fff9b9dc2b95bda888cc3, 0x66c29c0c4d935f8efca0709e9fdc07, 0x004f0a], + ), + F::from_limbs( + [0x3bea52fcee5c63623d46a32577733e, 0x40908d912fb4d3aadb67990338294c, 0x0024e3], + ), + F::from_limbs( + [0xb13e62a6404a74daf6c1cc2b79b805, 0x1db2c4fc40430e536c4bf821b25948, 0x002e8d], + ), + F::from_limbs( + [0x0c65a059be118a25093e32d48647fc, 0x89a064a13d0524e66bbc118025ac0b, 0x004560], + ), + F::from_limbs( + [0x4ad0183cb4d23e3b9f40dc39226ef2, 0xbb8a5f91996cc7e207d405cec60f24, 0x004c63], + ), + F::from_limbs( + [0x72d3eac34989c0c460bf22c6dd910f, 0xebc8ca0be3db6b57d03403d311f62f, 0x002789], + ), + F::from_limbs( + [0x1d4b203d557fd3d0bd794485b1cd59, 0xff0465d7945d6b0fd286dc1624d8de, 0x001a8d], + ), + F::from_limbs( + [0xa058e2c2a8dc2b2f4286ba7a4e32a8, 0xa84ec3c5e8eac82a05812d8bb32c75, 0x00595f], + ), + F::from_limbs( + [0x7f4e7f70ec86ac05e2e6cb0db28404, 0x71b2bcbcebb0e07032ac4dd9f48655, 0x00222d], + ), + F::from_limbs( + [0x3e55838f11d552fa1d1933f24d7bfd, 0x35a06ce0919752c9a55bbbc7e37efe, 0x0051c0], + ), + F::from_limbs( + [0x31d6a3b689584dd2f0f5e5e994ff3a, 0x98eed454988b6dee792e47fe9ebe96, 0x003268], + ), + F::from_limbs( + [0x8bcd5f497503b12d0f0a19166b00c7, 0x0e645548e4bcc54b5ed9c1a33946bd, 0x004185], + ), + F::from_limbs( + [0xd1a69ef390c21d4a865bf20d7fe4ff, 0x7ca7fee6f701be6bd1e602f93f1e7a, 0x000a60], + ), + F::from_limbs( + [0xebfd640c6d99e1b579a40cf2801b02, 0x2aab2ab6864674ce062206a898e6d8, 0x00698d], + ), + F::from_limbs( + [0x62a8e248a5873997ef4c4862dac48b, 0x5edd0c55c21a756db007d73ddfd82b, 0x000083], + ), + F::from_limbs( + [0x5afb20b758d4c56810b3b69d253b76, 0x48761d47bb2dbdcc28003263f82d28, 0x00736a], + ), + F::from_limbs( + [0xfbf6b6977f335ccc7ee15d01f39a0d, 0x40eb8f3ff496463dea24c6c2f0113d, 0x005839], + ), + F::from_limbs( + [0xc1ad4c687f28a233811ea1fe0c65f4, 0x66679a5d88b1ecfbede342dee7f415, 0x001bb4], + ), + F::from_limbs( + [0xa998918baa4ee01f8dc38c14a70a7d, 0x9a0c8d46e5c1431b68c23ab353eb5a, 0x00529a], + ), + F::from_limbs( + [0x140b7174540d1ee0723c72eb58f584, 0x0d469c569786f01e6f45ceee8419f9, 0x002153], + ), + F::from_limbs( + [0xf5f8fb1cfd35bf416d25664132e681, 0xacd15cff4a085d468a777ba29478a8, 0x0063a1], + ), + F::from_limbs( + [0xc7ab07e301263fbe92da98becd1980, 0xfa81cc9e333fd5f34d908dff438caa, 0x00104b], + ), + F::from_limbs( + [0xa148a069f07e83085c098a064e640d, 0x1d433b70d20df332844e948cea8ef0, 0x0059bd], + ), + F::from_limbs( + [0x1c5b62960ddd7bf7a3f674f9b19bf4, 0x8a0fee2cab3a400753b97514ed7663, 0x001a30], + ), + F::from_limbs( + [0x323eed0b7541f7626cf66312dc75d4, 0xf0cfc53f02ad2cff5e64aca06bfdc0, 0x000521], + ), + F::from_limbs( + [0x8b6515f4891a079d93099bed238a2d, 0xb683645e7a9b063a79a35d016c0793, 0x006ecb], + ), + F::from_limbs( + [0x6d33f723b2c096edd01d1e9965d339, 0xe5c62447e6c5b903259bd01c07a223, 0x007091], + ), + F::from_limbs( + [0x50700bdc4b9b68122fe2e0669a2cc8, 0xc18d055596827a36b26c3985d06330, 0x00035b], + ), + F::from_limbs( + [0xced4862f3112b54a33b4ca4fa500d5, 0xe64e6e329643ccb9d7408ba4ad4f77, 0x0046d5], + ), + F::from_limbs( + [0xeecf7cd0cd4949b5cc4b34b05aff2c, 0xc104bb6ae704668000c77dfd2ab5db, 0x002d17], + ), + F::from_limbs( + [0xa7edc3eeb1ea0f3cd3d2e1c03a844c, 0xc7495e0793b32f9ded387ed31cf4f1, 0x001257], + ), + F::from_limbs( + [0x15b63f114c71efc32c2d1d3fc57bb5, 0xe009cb95e995039beacf8acebb1062, 0x006195], + ), + F::from_limbs( + [0xca9f6f63c7ee570593110cdd147867, 0x0c5a1acc4e039943b8c1f1c32bb124, 0x006d19], + ), + F::from_limbs( + [0xf304939c366da7fa6ceef222eb879a, 0x9af90ed12f4499f61f4617deac542e, 0x0006d4], + ), + F::from_limbs( + [0xa3138bbc3a874b460e884790b8c345, 0x8a70e4c6426c457a1f0b6f25f22f8b, 0x0049a9], + ), + F::from_limbs( + [0x1a907743c3d4b3b9f177b76f473cbc, 0x1ce244d73adbedbfb8fc9a7be5d5c8, 0x002a44], + ), + F::from_limbs( + [0x1169992c0dfff849ad9eda3ab2596b, 0xed13f5196adafec2c1e6f695673957, 0x006c32], + ), + F::from_limbs( + [0xac3a69d3f05c06b6526124c54da696, 0xba3f3484126d34771621130c70cbfc, 0x0007ba], + ), + F::from_limbs( + [0x55a2ee5f896a4409af8f18266456c5, 0xac223b8b00a756b079736230d8d1e0, 0x005356], + ), + F::from_limbs( + [0x680114a074f1baf65070e6d99ba93c, 0xfb30ee127ca0dc895e94a770ff3373, 0x002096], + ), + F::from_limbs( + [0x2b4bfeb55dfba683a202b9605bdc7f, 0xcd834da0dfe13d24b851b6e0e2940a, 0x005b37], + ), + F::from_limbs( + [0x9258044aa060587c5dfd459fa42382, 0xd9cfdbfc9d66f6151fb652c0f57149, 0x0018b5], + ), + F::from_limbs( + [0x95ffdf3831c932ebf8ff080a52e66f, 0x9145a9d644ccae7ba896e4494d8bb6, 0x00364c], + ), + F::from_limbs( + [0x27a423c7cc92cc140700f6f5ad1992, 0x160d7fc7387b84be2f7125588a799d, 0x003da1], + ), + F::from_limbs( + [0x548acb6d790da51557c2f3467bd1ca, 0x515b1711e6667471e199a39130b996, 0x0006b9], + ), + F::from_limbs( + [0x69193792854e59eaa83d0bb9842e37, 0x55f8128b96e1bec7f66e6610a74bbd, 0x006d34], + ), + F::from_limbs( + [0x0352b62f3f203eb38d064ea8444127, 0xfa03ad3c8255023718eed874887b51, 0x005aee], + ), + F::from_limbs( + [0xba514cd0bf3bc04c72f9b057bbbeda, 0xad4f7c60faf33102bf19312d4f8a02, 0x0018fe], + ), + F::from_limbs( + [0x6d63f8b28503442b436d7a469e3045, 0xd3a13151f5da0c095cf1e33152987a, 0x004c75], + ), + F::from_limbs( + [0x50400a4d7958bad4bc9284b961cfbc, 0xd3b1f84b876e27307b162670856cd9, 0x002777], + ), + F::from_limbs( + [0x62f6b763e08ab37846d9e1c754b5dc, 0x4af774526aa008078f5f1149b3a08b, 0x00327c], + ), + F::from_limbs( + [0x5aad4b9c1dd14b87b9261d38ab4a25, 0x5c5bb54b12a82b3248a8f8582464c8, 0x004171], + ), + F::from_limbs( + [0xe5fdb63351c0ec536a984065c92adf, 0xe30b5b7bc5bd438d2dbf46dd5590f9, 0x000898], + ), + F::from_limbs( + [0xd7a64cccac9b12ac9567be9a36d522, 0xc447ce21b78aefacaa48c2c4827459, 0x006b54], + ), + F::from_limbs( + [0x2db53007db7808cb26d9489265bf28, 0x370156cdae5227f2d34b0ee0bab27b, 0x006103], + ), + F::from_limbs( + [0x8feed2f822e3f634d926b66d9a40d9, 0x7051d2cfcef60b4704bcfac11d52d8, 0x0012ea], + ), + F::from_limbs( + [0xe92a5ff656e571e252f6a3681e0665, 0x48279a4d32928213bbd737bf0e62fa, 0x0067b7], + ), + F::from_limbs( + [0xd479a309a7768d1dad095b97e1f99c, 0x5f2b8f504ab5b1261c30d1e2c9a258, 0x000c36], + ), + F::from_limbs( + [0x4a3619fc303084522303685af9251f, 0xec39741c1ee0841ec896cf8d6b71cc, 0x003f80], + ), + F::from_limbs( + [0x736de903ce2b7aaddcfc96a506dae2, 0xbb19b5815e67af1b0f713a146c9387, 0x00346c], + ), + F::from_limbs( + [0x09b29d2aaa46f58fde839c9b10f95a, 0xf481668a98cc916653ef8ee10c3160, 0x000b47], + ), + F::from_limbs( + [0xb3f165d554150970217c6264ef06a7, 0xb2d1c312e47ba1d384187ac0cbd3f3, 0x0068a5], + ), + F::from_limbs( + [0x8d4f7d4f608b27831af13e1a684e43, 0xeabd406c3a9d1aaa8bc17630875b9a, 0x002669], + ), + F::from_limbs( + [0x305485b09dd0d77ce50ec0e597b1be, 0xbc95e93142ab188f4c46937150a9b9, 0x004d83], + ), + F::from_limbs( + [0x5f59426e561ac3a0d046361160c87d, 0xf67c9a365f924184a3278cbac76cf6, 0x001e28], + ), + F::from_limbs( + [0x5e4ac091a8413b5f2fb9c8ee9f3784, 0xb0d68f671db5f1b534e07ce710985d, 0x0055c4], + ), + F::from_limbs( + [0xb504c88bc20bd7cd2b2f4c41dff3cb, 0x1dab874c3d6a7726f871b0da235e08, 0x00698f], + ), + F::from_limbs( + [0x089f3a743c502732d4d0b2be200c36, 0x89a7a2513fddbc12df9658c7b4a74b, 0x000a5e], + ), + F::from_limbs( + [0x5f34977fa341337055b514a4510f6a, 0x373ad66cee9842076ef74d0b719d55, 0x005dd7], + ), + F::from_limbs( + [0x5e6f6b805b1acb8faa4aea5baef097, 0x701853308eaff1326910bc966667fe, 0x001616], + ), + F::from_limbs( + [0x6c461ae56f072df424341daddcab5d, 0x0d96bee11ebb5204f44088385855a8, 0x004aa1], + ), + F::from_limbs( + [0x515de81a8f54d10bdbcbe1522354a4, 0x99bc6abc5e8ce134e3c781697fafab, 0x00294c], + ), + F::from_limbs( + [0x0e8aaa2c0adab646add4de51661716, 0x17a81ec992dbd332c8edcb31b9c532, 0x006f8c], + ), + F::from_limbs( + [0xaf1958d3f38148b9522b20ae99e8eb, 0x8fab0ad3ea6c60070f1a3e701e4021, 0x000461], + ), + F::from_limbs( + [0x966df282c99da1552407971d6a01b3, 0xc4a1e86297dd1f72eaf592b1a5e37c, 0x001064], + ), + F::from_limbs( + [0x2736107d34be5daadbf867e295fe4e, 0xe2b1413ae56b13c6ed1276f03221d7, 0x006388], + ), + F::from_limbs( + [0xdf55fe0e814040452ccd3a84afddff, 0xc0bccf122cf17f89e05099b9346eb4, 0x004fc3], + ), + F::from_limbs( + [0xde4e04f17d1bbebad332c47b502202, 0xe6965a8b5056b3aff7b76fe8a3969e, 0x002429], + ), + F::from_limbs( + [0x9025299f9d89f8b0a40e557f4b46ae, 0xb7cf8d35960d07e1837d2ec951dce4, 0x000c0e], + ), + F::from_limbs( + [0x2d7ed96060d2064f5bf1a980b4b953, 0xef839c67e73b2b58548adad886286f, 0x0067de], + ), + F::from_limbs( + [0x627ca6b51d001a6f9d0064fac7137d, 0xba9652521c23efdb2f0828054b7fb3, 0x006f56], + ), + F::from_limbs( + [0x5b275c4ae15be49062ff9a0538ec84, 0xecbcd74b6124435ea8ffe19c8c85a0, 0x000496], + ), + F::from_limbs( + [0x57c9facced7b915f66134727f54889, 0xc12d8a6f82133cf6cd1d9efc7c146e, 0x006c0e], + ), + F::from_limbs( + [0x65da083310e06da099ecb7d80ab778, 0xe6259f2dfb34f6430aea6aa55bf0e5, 0x0007de], + ), + F::from_limbs( + [0x339834601eaf9df9b5ad7e3464f5a5, 0x51053381165e056f4fd9e2e5174451, 0x00510f], + ), + F::from_limbs( + [0x8a0bce9fdfac61064a5280cb9b0a5c, 0x564df61c66ea2dca882e26bcc0c102, 0x0022de], + ), + F::from_limbs( + [0xea1b243740a635ed1c6473b3e31cf7, 0x6e5ee340acc503a56cc8813aa331a6, 0x0022c3], + ), + F::from_limbs( + [0xd388dec8bdb5c912e39b8b4c1ce30a, 0x38f4465cd0832f946b3f886734d3ac, 0x00512a], + ), + F::from_limbs( + [0xa5a037f31901964ec74d66ce5ce51d, 0xd1a16317e2eef74564930e6096c055, 0x006852], + ), + F::from_limbs( + [0x1803cb0ce55a68b138b29831a31ae4, 0xd5b1c6859a593bf47374fb414144fe, 0x000b9a], + ), + F::from_limbs( + [0x5b9ca898999be0e41960cc8f7cf554, 0x10c103e349beeebdfa4d46a48617eb, 0x001be6], + ), + F::from_limbs( + [0x62075a6764c01e1be69f3270830aad, 0x969225ba3389447bddbac2fd51ed68, 0x005807], + ), + F::from_limbs( + [0xc9e646f0bc30f46b1ac0499b422b78, 0x36685571ebe59efaac6d4efab2f7a2, 0x00178c], + ), + F::from_limbs( + [0xf3bdbc0f422b0a94e53fb564bdd489, 0x70ead42b9162943f2b9abaa7250db0, 0x005c61], + ), + F::from_limbs( + [0x468edeb6787ad5963a9c566e8bd6b5, 0x92e90312698626747ffd80262ac35f, 0x003dfd], + ), + F::from_limbs( + [0x7715244985e12969c563a89174294c, 0x146a268b13c20cc5580a897bad41f4, 0x0035f0], + ), + F::from_limbs( + [0xa1f0d04b158d7aa271966e405dcffd, 0xeac8ef44b61d5e3ddfac65da256f88, 0x00378f], + ), + F::from_limbs( + [0x1bb332b4e8ce845d8e6990bfa23004, 0xbc8a3a58c72ad4fbf85ba3c7b295cb, 0x003c5d], + ), + F::from_limbs( + [0x719dedc145d3ee4580dba9fc46a574, 0x8c3a3826d76773a54de6e95a9de480, 0x00102b], + ), + F::from_limbs( + [0x4c06153eb88810ba7f245503b95a8d, 0x1b18f176a5e0bf948a2120473a20d3, 0x0063c2], + ), + F::from_limbs( + [0x6d85a7faf7c62885336974811c697a, 0xbda65519ec38a6266415c4d6ced228, 0x003b35], + ), + F::from_limbs( + [0x501e5b050695d67acc968a7ee39687, 0xe9acd483910f8d1373f244cb09332b, 0x0038b7], + ), + F::from_limbs( + [0x510ebfb4543a3efb350dbef02a116e, 0xa56e80f82b2df675522e37ad4eca1c, 0x001907], + ), + F::from_limbs( + [0x6c95434baa21c004caf2400fd5ee93, 0x01e4a8a5521a3cc485d9d1f4893b37, 0x005ae6], + ), + F::from_limbs( + [0x1102eb66f6fce55e501a6aa6138595, 0x8e203415456536060cc57d5ad557ea, 0x006d3d], + ), + F::from_limbs( + [0xaca11799075f19a1afe59459ec7a6c, 0x1932f58837e2fd33cb428c4702ad69, 0x0006b0], + ), + F::from_limbs( + [0x7dea6029017fdc9dac7b409d585d19, 0xc0e6aaf7c2d906dbeaab1ad525575d, 0x00634f], + ), + F::from_limbs( + [0x3fb9a2d6fcdc22625384be62a7a2e8, 0xe66c7ea5ba6f2c5ded5ceeccb2adf6, 0x00109d], + ), + F::from_limbs( + [0x3764a3ff5f912e67cf9ca3e9f5b1b1, 0xbee4fcf836297cc088f970ebac3ad3, 0x005f20], + ), + F::from_limbs( + [0x863f5f009ecad09830635b160a4e50, 0xe86e2ca5471eb6794f0e98b62bca80, 0x0014cc], + ), + F::from_limbs( + [0x738f0e49608f7fec3894fdbbc5e597, 0x6831b2c665dce522dc0df640392d0a, 0x002e91], + ), + F::from_limbs( + [0x4a14f4b69dcc7f13c76b01443a1a6a, 0x3f2176d7176b4e16fbfa13619ed849, 0x00455c], + ), + F::from_limbs( + [0xb1cebef9a7dbaf187a081bc020c9e9, 0x49dce1168ed72eb22d78a01a149188, 0x0048c6], + ), + F::from_limbs( + [0x0bd5440656804fe785f7e33fdf3618, 0x5d764886ee710487aa8f6987c373cb, 0x002b27], + ), + F::from_limbs( + [0x786c05f26d2d14072fff623d593acc, 0x4567920d7fbdd5ad1e34af8ba8297e, 0x004b0f], + ), + F::from_limbs( + [0x4537fd0d912eeaf8d0009cc2a6c535, 0x61eb978ffd8a5d8cb9d35a162fdbd5, 0x0028de], + ), + F::from_limbs( + [0xa08916e4882ed38e69d125b2613b98, 0x2412402056b9c587252e3f738f0291, 0x00154d], + ), + F::from_limbs( + [0x1d1aec1b762d2b71962ed94d9ec469, 0x8340e97d268e6db2b2d9ca2e4902c2, 0x005ea0], + ), + F::from_limbs( + [0xa44a292b2e5b2982758592725b5677, 0x3df3d2c48682ef7088ae62b6a01241, 0x004c5f], + ), + F::from_limbs( + [0x1959d9d4d000d57d8a7a6c8da4a98a, 0x695f56d8f6c543c94f59a6eb37f312, 0x00278e], + ), + F::from_limbs( + [0x3dc049317117871848f2442fea2cc8, 0x6e34562bbc52e204d5dce884424849, 0x002cb0], + ), + F::from_limbs( + [0x7fe3b9ce8d4477e7b70dbad015d339, 0x391ed371c0f55135022b211d95bd0a, 0x00473d], + ), + F::from_limbs( + [0xd2201ed10a653f0612b0fb6cc1107c, 0xcba74f737371896fb6a2fbba8ee922, 0x006c1b], + ), + F::from_limbs( + [0xeb83e42ef3f6bff9ed4f03933eef85, 0xdbabda2a09d6a9ca21650de7491c30, 0x0007d1], + ), + F::from_limbs( + [0xdf8a6e25303f2fd0c13b83274f45b0, 0xbb2eb5bc528c11781b3e716a0f505e, 0x002bdd], + ), + F::from_limbs( + [0xde1994dace1ccf2f3ec47bd8b0ba51, 0xec2473e12abc21c1bcc99837c8b4f4, 0x00480f], + ), + F::from_limbs( + [0xd22b0908293b435d970e0b0666e0d8, 0x0683301968fdb44d3b688f8492460a, 0x005b03], + ), + F::from_limbs( + [0xeb78f9f7d520bba268f1f3f9991f29, 0xa0cff984144a7eec9c9f7a1d45bf48, 0x0018ea], + ), + F::from_limbs( + [0xc5922e39ae0bf92ae6e2c121bfc3c3, 0x9e36de006c054af1a2d79a24d27ae1, 0x007000], + ), + F::from_limbs( + [0xf811d4c6505005d5191d3dde403c3e, 0x091c4b9d1142e84835306f7d058a71, 0x0003ed], + ), + F::from_limbs( + [0xe63a729649cca628f1221a8298a060, 0xe2fcb84cd789855a08d1b96d6c46b4, 0x001272], + ), + F::from_limbs( + [0xd7699069b48f58d70edde47d675fa1, 0xc4567150a5beaddfcf3650346bbe9e, 0x00617a], + ), + F::from_limbs( + [0x5fe456e0de774541fed1c1f077470a, 0xef9cfd0d5b9c3c011284ce2c0a5ae6, 0x0058ea], + ), + F::from_limbs( + [0x5dbfac1f1fe4b9be012e3d0f88b8f7, 0xb7b62c9021abf738c5833b75cdaa6d, 0x001b02], + ), + F::from_limbs( + [0x4e7bab3c93dde164936d794ecac754, 0x8efcbc9ffba397e292677efe6e684b, 0x00192d], + ), + F::from_limbs( + [0x6f2857c36a7e1d9b6c9285b13538ad, 0x18566cfd81a49b5745a08aa3699d08, 0x005ac0], + ), + F::from_limbs( + [0xf39aabdcbb7d0745a8d91e955983d1, 0xed933c287503e05891c9ff9c3987d4, 0x00075d], + ), + F::from_limbs( + [0xca09572342def7ba5726e06aa67c30, 0xb9bfed75084452e1463e0a059e7d7e, 0x006c8f], + ), + F::from_limbs( + [0x04d8e25880e9cee1d977e545af710b, 0x5fb6453833c4c973f8fca82606c27d, 0x00527d], + ), + F::from_limbs( + [0xb8cb20a77d72301e268819ba508ef6, 0x479ce465498369c5df0b617bd142d6, 0x002170], + ), + F::from_limbs( + [0x9741e455322d312856121a533306a0, 0xd41c2b82dcc6b2dd9a95731e9ccfab, 0x005d63], + ), + F::from_limbs( + [0x26621eaacc2ecdd7a9ede4acccf961, 0xd336fe1aa081805c3d7296833b35a8, 0x001689], + ), + F::from_limbs( + [0x9d89aade182224f825d2b60a32f87a, 0x4aec85b8f956e027a83558a1fa00b9, 0x001df4], + ), + F::from_limbs( + [0x201a5821e639da07da2d48f5cd0787, 0x5c66a3e483f153122fd2b0ffde049a, 0x0055f9], + ), + F::from_limbs( + [0x2d7dae9287cd043df47cf236da17e9, 0xf534d4599079c579b994cbef0c2ce9, 0x001306], + ), + F::from_limbs( + [0x9026546d768efac20b830cc925e818, 0xb21e5543ecce6dc01e733db2cbd86a, 0x0060e6], + ), + F::from_limbs( + [0xcbb1bd356f80cdcf2c53214fca9316, 0xe397c114f8f36fa873d6002f921fda, 0x003495], + ), + F::from_limbs( + [0xf1f245ca8edb3130d3acddb0356ceb, 0xc3bb68888454c3916432097245e578, 0x003f57], + ), + F::from_limbs( + [0x62629752f7b4ac743e6cd3f2d8b5e4, 0xb727404262a9c24956b7927d30eacb, 0x001874], + ), + F::from_limbs( + [0x5b416bad06a7528bc1932b0d274a1d, 0xf02be95b1a9e70f081507724a71a88, 0x005b78], + ), + F::from_limbs( + [0x0cfc2a8e76963e1cfb5b8201d3c611, 0xdbab8b1811260a0955d20478e94671, 0x0038a2], + ), + F::from_limbs( + [0xb0a7d87187c5c0e304a47cfe2c39f0, 0xcba79e856c22293082360528eebee2, 0x003b4a], + ), + F::from_limbs( + [0x501d116ae74916c40d56452b59c640, 0x823696c820865acd8b4a64b679a2e3, 0x0032e8], + ), + F::from_limbs( + [0x6d86f1951712e83bf2a9b9d4a639c1, 0x251c92d55cc1d86c4cbda4eb5e6270, 0x004105], + ), + F::from_limbs( + [0x9d714edf2c5d73e9fd3487793e0a1e, 0x777daecfbc8bf776f0b322161a54eb, 0x000c02], + ), + F::from_limbs( + [0x2032b420d1fe8b1602cb7786c1f5e3, 0x2fd57acdc0bc3bc2e754e78bbdb068, 0x0067eb], + ), + F::from_limbs( + [0xa019a046396b882f67888351b3aed0, 0x4490a807026fab8427037d4aaef513, 0x0000df], + ), + F::from_limbs( + [0x1d8a62b9c4f076d098777bae4c5131, 0x62c281967ad887b5b1048c57291040, 0x00730e], + ), + F::from_limbs( + [0xb7da58c5251abce7c952e4bd7af7d4, 0x42944aa32bee278a8c2e3d1fd8e115, 0x005e85], + ), + F::from_limbs( + [0x05c9aa3ad941421836ad1a4285082d, 0x64bedefa515a0baf4bd9cc81ff243e, 0x001568], + ), + F::from_limbs( + [0xb169206b7f3154077d390dd7d05b42, 0x0a68359a3f51e5084aaf8797a96f5e, 0x004197], + ), + F::from_limbs( + [0x0c3ae2947f2aaaf882c6f1282fa4bf, 0x9ceaf4033df64e318d58820a2e95f5, 0x003256], + ), + F::from_limbs( + [0x3c05a40dd7360af2be473f9f510696, 0x85d44e308ee97c96515b1b38427a7c, 0x004f02], + ), + F::from_limbs( + [0x819e5ef22725f40d41b8bf60aef96b, 0x217edb6cee5eb6a386acee69958ad7, 0x0024eb], + ), + F::from_limbs( + [0xc01d3617a563363c520c2b1a297a42, 0x1b34b95dfdc7a5455416cfcec9c93f, 0x0057d1], + ), + F::from_limbs( + [0xfd86cce858f8c8c3adf3d3e5d685bf, 0x8c1e703f7f808df483f139d30e3c13, 0x001c1c], + ), + F::from_limbs( + [0xd04289be4d5845428c9fe880b696f2, 0xefc99d37fe721eb3867a7d42417bfd, 0x003337], + ), + F::from_limbs( + [0xed617941b103b9bd7360167f49690f, 0xb7898c657ed61486518d8c5f968955, 0x0040b5], + ), + F::from_limbs( + [0x471747bfef212bcdcd38d6f117f52f, 0x873a1f951adfb6548e4a26c46cf637, 0x00260e], + ), + F::from_limbs( + [0x768cbb400f3ad33232c7280ee80ad2, 0x20190a0862687ce549bde2dd6b0f1c, 0x004ddf], + ), + F::from_limbs( + [0x1bd60176f653694582bcb64c16195c, 0xf7a2a21cae9a8382c4cf78190afc04, 0x0045c6], + ), + F::from_limbs( + [0xa1ce0189080895ba7d4348b3e9e6a5, 0xafb08780ceadafb713389188cd094f, 0x002e26], + ), + F::from_limbs( + [0x12d6dbc4da70eb9281ca5182004249, 0x6ee71fba800af7b5bc01b47b0c0cc1, 0x00524f], + ), + F::from_limbs( + [0xaacd273b23eb136d7e35ad7dffbdb8, 0x386c09e2fd3d3b841c065526cbf892, 0x00219e], + ), + F::from_limbs( + [0xdd88120258390fcf4a24368337be6a, 0xbc58cb5eb5c44cc9ff4bf19abce5bb, 0x0030e1], + ), + F::from_limbs( + [0xe01bf0fda622ef30b5dbc87cc84197, 0xeafa5e3ec783e66fd8bc18071b1f97, 0x00430b], + ), + F::from_limbs( + [0xa959dcb76fe5390c0871ffc19b100f, 0xce8ba2c48aa4894506e8611524fe2a, 0x002f73], + ), + F::from_limbs( + [0x144a26488e76c5f3f78dff3e64eff2, 0xd8c786d8f2a3a9f4d11fa88cb30729, 0x004479], + ), + F::from_limbs( + [0x73882ea6ce7aa9e15b2a94a295c9ad, 0x7fb3c3230d556d15603c30cffb92d1, 0x003d74], + ), + F::from_limbs( + [0x4a1bd4592fe1551ea4d56a5d6a3654, 0x279f667a6ff2c62477cbd8d1dc7282, 0x003679], + ), + F::from_limbs( + [0xf7ba1663b31d0376fd4001b4f824c8, 0x46853ef9fa574485c4aa168e870ab3, 0x006fbe], + ), + F::from_limbs( + [0xc5e9ec9c4b3efb8902bffd4b07db39, 0x60cdeaa382f0eeb4135df31350fa9f, 0x00042f], + ), + F::from_limbs( + [0x0119a77a9a472b1f0256b78db57e18, 0xf68db38f4a7b27a0943532cbc2db68, 0x00474c], + ), + F::from_limbs( + [0xbc8a5b856414d3e0fda947724a81e9, 0xb0c5760e32cd0b9943d2d6d61529eb, 0x002ca0], + ), + F::from_limbs( + [0x1592642caef3e5a869ecf2cc0d850a, 0xd792bef1368d6e952e48357708336a, 0x004164], + ), + F::from_limbs( + [0xa8119ed34f68195796130c33f27af7, 0xcfc06aac46bac4a4a9bfd42acfd1e9, 0x003288], + ), + F::from_limbs( + [0xea563e74aa3185e99ab4b0ce6c0c7c, 0xcb7ba7a1102bab1c2cbe2844a0ddd5, 0x00098b], + ), + F::from_limbs( + [0xd34dc48b542a7916654b4e3193f385, 0xdbd781fc6d1c881dab49e15d37277d, 0x006a61], + ), + F::from_limbs( + [0x437f9626fc085e3c28d666a5c2d854, 0xb5c3debf77a18f4de02c0f776af3ea, 0x00325d], + ), + F::from_limbs( + [0x7a246cd90253a0c3d729985a3d27ad, 0xf18f4ade05a6a3ebf7dbfa2a6d1169, 0x00418f], + ), + F::from_limbs( + [0x042bde9573c4ad1ff95ac74f4dd55e, 0xf518291d3e252d00a5be2412a997b6, 0x0050c8], + ), + F::from_limbs( + [0xb978246a8a9751e006a537b0b22aa3, 0xb23b00803f2306393249e58f2e6d9d, 0x002324], + ), + F::from_limbs( + [0xd42ce812d4161a128568bfed36d2d6, 0x61d6a24bc012a01a09222bf9650bd9, 0x006524], + ), + F::from_limbs( + [0xe9771aed2a45e4ed7a973f12c92d2b, 0x457c8751bd35931fcee5dda872f979, 0x000ec9], + ), + F::from_limbs( + [0x4eea3f60d8ba48352b5233bf7ba901, 0x9a5b87438c07220bc79e6b495d459f, 0x003304], + ), + F::from_limbs( + [0x6eb9c39f25a1b6cad4adcb40845700, 0x0cf7a259f141112e10699e587abfb4, 0x0040e9], + ), + F::from_limbs( + [0x67db8f3cd65da7c8f54ccb3906df6e, 0x385ab3740f1d0a08b8806bf140116a, 0x003ff0], + ), + F::from_limbs( + [0x55c873c327fe57370ab333c6f92093, 0x6ef876296e2b29311f879db097f3e9, 0x0033fd], + ), + F::from_limbs( + [0x10f133fcb8fede5de6afb9568b79d7, 0x555d2abe285e02fca0c6b9bfafb5fd, 0x00149f], + ), + F::from_limbs( + [0xacb2cf03455d20a2195045a974862a, 0x51f5fedf54ea303d37414fe2284f56, 0x005f4e], + ), + F::from_limbs( + [0xb769a52be75f80a78adc4c393f40fb, 0x8cf482eda4eaeba7fb8a7fa58fc5d9, 0x0007f3], + ), + F::from_limbs( + [0x063a5dd416fc7e587523b2c6c0bf06, 0x1a5ea6afd85d4791dc7d89fc483f7a, 0x006bfa], + ), + F::from_limbs( + [0x1d3d048e2bae51fb8bf031847f0368, 0x7d0f0c1d7fa06092d03a32cfcbe1a7, 0x004b4f], + ), + F::from_limbs( + [0xa066fe71d2adad04740fcd7b80fc99, 0x2a441d7ffda7d2a707cdd6d20c23ac, 0x00289e], + ), + F::from_limbs( + [0xcfc07ba26779319d6862e69abec349, 0x7fd1ffada9fb7ce80043e235fce4b6, 0x0027a5], + ), + F::from_limbs( + [0xede3875d96e2cd62979d1865413cb8, 0x278129efd34cb651d7c4276bdb209c, 0x004c48], + ), + F::from_limbs( + [0x2b9280b02b0f38389490a19470e8d1, 0x662f4b3bf7dd4a6b4b7925d178b97c, 0x00006c], + ), + F::from_limbs( + [0x9211824fd34cc6c76b6f5d6b8f1730, 0x4123de61856ae8ce8c8ee3d05f4bd7, 0x007381], + ), + F::from_limbs( + [0x626ce47a1970433653bbc394e0194f, 0x0ed3d812e1900c2d1e5df0ba7ba08d, 0x001b07], + ), + F::from_limbs( + [0x5b371e85e4ebbbc9ac443b6b1fe6b2, 0x987f518a9bb8270cb9aa18e75c64c6, 0x0058e6], + ), + F::from_limbs( + [0xbf59d5e64bbfa343aac380bd084cf0, 0xe70b5e0ee5d8a20cb37113cdf8a9af, 0x00534e], + ), + F::from_limbs( + [0xfe4a2d19b29c5bbc553c7e42f7b311, 0xc047cb8e976f912d2496f5d3df5ba3, 0x00209e], + ), + F::from_limbs( + [0x597b23df05312f8c2af61a8141cd2a, 0x0fd36013a65e8edf76cab18f8a37c7, 0x0008f6], + ), + F::from_limbs( + [0x6428df20f92acf73d509e47ebe32d7, 0x977fc989d6e9a45a613d58124dcd8c, 0x006af7], + ), + F::from_limbs( + [0x18d8297cc221bdb5e7ec7507841320, 0x300ff31bf898416efa2f23e851d93e, 0x00315f], + ), + F::from_limbs( + [0xa4cbd9833c3a414a181389f87bece1, 0x7743368184aff1caddd8e5b9862c15, 0x00428e], + ), + F::from_limbs( + [0xb9cfa13c9e7075a60c85450b7b2f47, 0x6723c0c73b43c6b58ce353a65ae24f, 0x000185], + ), + F::from_limbs( + [0x03d461c35feb8959f37ab9f484d0ba, 0x402f68d642046c844b24b5fb7d2304, 0x007268], + ), + F::from_limbs( + [0x4aa8865b38d3fe56375852f503eab6, 0x0a59d3076a69a11bab9cdb76c9aa34, 0x002e1d], + ), + F::from_limbs( + [0x72fb7ca4c58800a9c8a7ac0afc154b, 0x9cf9569612de921e2c6b2e2b0e5b1f, 0x0045d0], + ), + F::from_limbs( + [0x2f158931e7234f34277686b037a511, 0x36a53627e337d86327fa50db777aaf, 0x003bff], + ), + F::from_limbs( + [0x8e8e79ce1738afcbd889784fc85af0, 0x70adf3759a105ad6b00db8c6608aa4, 0x0037ee], + ), + F::from_limbs( + [0x5b11f7e8d7950307379aa242bef13a, 0x854d6e4b49d1a48d5cc9eb4b326da6, 0x003cd9], + ), + F::from_limbs( + [0x62920b1726c6fbf8c8655cbd410ec7, 0x2205bb5233768eac7b3e1e56a597ad, 0x003714], + ), + F::from_limbs( + [0x74c9b15c2f6c8157b9d269efd0d9fd, 0x43d2741d83a4ffa6a4d8853dc711ed, 0x00349a], + ), + F::from_limbs( + [0x48da51a3ceef7da8462d95102f2604, 0x6380b57ff9a33393332f846410f366, 0x003f53], + ), + F::from_limbs( + [0x922dc33e3981ed211c46be69369843, 0x792481d33f84533665b7ea0775febc, 0x004a34], + ), + F::from_limbs( + [0x2b763fc1c4da11dee3b94096c967be, 0x2e2ea7ca3dc3e00372501f9a620697, 0x0029b9], + ), + F::from_limbs( + [0x6fa92e866fdb2fb08e0577296c2a24, 0xadb60d8a7bf7640ac08abd3c0874ce, 0x00699a], + ), + F::from_limbs( + [0x4dfad4798e80cf4f71fa87d693d5dd, 0xf99d1c130150cf2f177d4c65cf9085, 0x000a52], + ), + F::from_limbs( + [0x10bc93086722d6faa75e2409644896, 0x0d36010c2912e9b9971968377e8f23, 0x0045cc], + ), + F::from_limbs( + [0xace76ff79739280558a1daf69bb76b, 0x9a1d28915435498040eea16a597630, 0x002e21], + ), + F::from_limbs( + [0x12974aa30cb0dbc3ad07b8488f216a, 0x599a73b32821076027ac452fa314e7, 0x0027f8], + ), + F::from_limbs( + [0xab0cb85cf1ab233c52f846b770de97, 0x4db8b5ea55272bd9b05bc47234f06c, 0x004bf5], + ), + F::from_limbs( + [0x07c23f803514299fe2121c20b86988, 0xb000d89ab17c3ca13436f849d0c5b7, 0x0052a3], + ), + F::from_limbs( + [0xb5e1c37fc947d5601dede2df479679, 0xf7525102cbcbf698a3d11158073f9c, 0x002149], + ), + F::from_limbs( + [0x54efb0bc8d997ff0498fbd3aed65cf, 0xb926e96be027edd2c44927ecd41b3a, 0x0021f9], + ), + F::from_limbs( + [0x68b4524370c27f0fb67041c5129a32, 0xee2c40319d20456713bee1b503ea19, 0x0051f3], + ), + F::from_limbs( + [0xc33eff3b2e005d15c92e1aac022f7a, 0x03f06c32134406419d72de2d04da5c, 0x0038dd], + ), + F::from_limbs( + [0xfa6503c4d05ba1ea36d1e453fdd087, 0xa362bd6b6a042cf83a952b74d32af6, 0x003b10], + ), + F::from_limbs( + [0x35e832d903d52910fc77c70f6789eb, 0x025cc14be0ad31420245361de9b12f, 0x00575f], + ), + F::from_limbs( + [0x87bbd026fa86d5ef038837f0987616, 0xa4f668519c9b01f7d5c2d383ee5424, 0x001c8e], + ), + F::from_limbs( + [0xb7ab8507f3920122be1a8aba702c85, 0x25e3c9a4ab06a671d938712e096896, 0x0058b6], + ), + F::from_limbs( + [0x05f87df80ac9fddd41e574458fd37c, 0x816f5ff8d2418cc7fecf9873ce9cbd, 0x001b37], + ), + F::from_limbs( + [0x69be7aef4c8d1ef94c14f22139573f, 0x6f3cc7d42821defa95e48ec5f0df7f, 0x004e12], + ), + F::from_limbs( + [0x53e58810b1cee006b3eb0cdec6a8c2, 0x381661c95526543f42237adbe725d4, 0x0025db], + ), + F::from_limbs( + [0x743ad6e2d471f5c5266f7287443e47, 0x5f70d71d12f4ac20bd03516e01a536, 0x002adc], + ), + F::from_limbs( + [0x49692c1d29ea093ad9908c78bbc1ba, 0x47e252806a5387191b04b833d6601d, 0x004911], + ), + F::from_limbs( + [0x2c25c55d44a0cda2c7312172f024d5, 0x856c0c995405fcbdc0f7c531d5529a, 0x004d16], + ), + F::from_limbs( + [0x917e3da2b9bb315d38cedd8d0fdb2c, 0x21e71d042942367c1710447002b2b9, 0x0026d7], + ), + F::from_limbs( + [0x223e998d178fb680440e833ea39b55, 0x42b69828825b5da8aa10fae01e8c0c, 0x00181c], + ), + F::from_limbs( + [0x9b656972e6cc487fbbf17bc15c64ac, 0x649c9174faecd5912df70ec1b97947, 0x005bd1], + ), + F::from_limbs( + [0x10989d7476cf2bc1bf28a8007ab548, 0xeb7d5ee5004ffc6c81de8478b8e220, 0x002099], + ), + F::from_limbs( + [0xad0b658b878cd33e40d756ff854ab9, 0xbbd5cab87cf836cd562985291f2333, 0x005353], + ), + F::from_limbs( + [0x96d79f8a3e8e0b93b28aebc303f074, 0xc9102a942d517007277851e8aec9ea, 0x0024db], + ), + F::from_limbs( + [0x26cc6375bfcdf36c4d75133cfc0f8d, 0xde42ff094ff6c332b08fb7b9293b69, 0x004f11], + ), + F::from_limbs( + [0x472415b0f60defaa8f3f7b31a9d713, 0x5bb263c0e75edaf8ea26346303cc91, 0x00406e], + ), + F::from_limbs( + [0x767fed4f084e0f5570c083ce5628ee, 0x4ba0c5dc95e95840ede1d53ed438c2, 0x00337f], + ), + F::from_limbs( + [0x22c16ba307dd3aa0d0db6053a9a3e0, 0xe0b7bf8e8c0fd7bcbd2b9d03b8b2db, 0x000042], + ), + F::from_limbs( + [0x9ae2975cf67ec45f2f249eac565c21, 0xc69b6a0ef1385b7d1adc6c9e1f5278, 0x0073aa], + ), + F::from_limbs( + [0xd8f9f506885a4f1784febbb03b452f, 0xd0cbdf62af6ec9809d68741ff12a30, 0x000d36], + ), + F::from_limbs( + [0xe4aa0df97601afe87b01434fc4bad2, 0xd6874a3acdd969b93a9f9581e6db22, 0x0066b6], + ), + F::from_limbs( + [0x657d647e701c3bc1294eb7f2f2f66d, 0x076752b9400f5ae617b0fcc5dbf9ca, 0x002887], + ), + F::from_limbs( + [0x58269e818e3fc33ed6b1470d0d0994, 0x9febd6e43d38d853c0570cdbfc0b89, 0x004b66], + ), + F::from_limbs( + [0xf3dc40acfe2b7256cfcec9c01c3ffe, 0xdab0be5128d795d19d03d8fd323cf7, 0x0068f0], + ), + F::from_limbs( + [0xc9c7c25300308ca93031353fe3c003, 0xcca26b4c54709d683b0430a4a5c85b, 0x000afc], + ), + F::from_limbs( + [0x39c74778c695afde09673bab61e898, 0xdf77f041dc9735c1728a223969d1ee, 0x0013c8], + ), + F::from_limbs( + [0x83dcbb8737c64f21f698c3549e1769, 0xc7db395ba0b0fd78657de7686e3365, 0x006024], + ), + F::from_limbs( + [0x16c96bf3f6890a98d0402a397d3074, 0xa203d88e626925ff7d17d595046f32, 0x0057df], + ), + F::from_limbs( + [0xa6da970c07d2f4672fbfd4c682cf8d, 0x054f510f1adf0d3a5af0340cd39621, 0x001c0e], + ), + F::from_limbs( + [0xd286c9c7b2f3fd967bc7d5bce1a804, 0xdd564bbe5d15ce91a6d6efc2c7ca96, 0x007073], + ), + F::from_limbs( + [0xeb1d39384b680169843829431e57fd, 0xc9fcdddf203264a8313119df103abc, 0x000379], + ), + F::from_limbs( + [0xe540b9c586fcea58550848d0259347, 0xba723ff8c505df9d9a8301247105a2, 0x00046c], + ), + F::from_limbs( + [0xd863493a775f14a7aaf7b62fda6cba, 0xece0e9a4b842539c3d85087d66ffb0, 0x006f80], + ), + F::from_limbs( + [0x97ac9b42b5bc323c3e9892b876b461, 0xd6151fc5ce2e0c824958cba91b6f97, 0x001128], + ), + F::from_limbs( + [0x25f767bd489fccc3c1676c47894ba0, 0xd13e09d7af1a26b78eaf3df8bc95bc, 0x0062c4], + ), + F::from_limbs( + [0xe306b538773eb4b850d2a3eabf958f, 0x7355217fce074c0bb60b247d0d6499, 0x0033dc], + ), + F::from_limbs( + [0xda9d4dc7871d4a47af2d5b15406a72, 0x33fe081daf40e72e21fce524caa0b9, 0x004011], + ), + F::from_limbs( + [0xd5081bd50bfe8c49ab063c9866233a, 0x8d40c2ef982f0174fd293ff31fa487, 0x00546f], + ), + F::from_limbs( + [0xe89be72af25d72b654f9c26799dcc7, 0x1a1266ade51931c4dadec9aeb860cb, 0x001f7e], + ), + F::from_limbs( + [0xd4dd6fb2dd1c1cec4a327b5d6681f3, 0x978bf9dde4f2a890bb7866fb5680a5, 0x00421a], + ), + F::from_limbs( + [0xe8c6934d213fe213b5cd83a2997e0e, 0x0fc72fbf98558aa91c8fa2a68184ad, 0x0031d3], + ), + F::from_limbs( + [0x46e6e574bb0264650613937dec903a, 0xc4fdd5553c2b935c9c3ce1c6e9f013, 0x0004e9], + ), + F::from_limbs( + [0x76bd1d8b43599a9af9ec6b82136fc7, 0xe2555448411c9fdd3bcb27daee1540, 0x006f03], + ), + F::from_limbs( + [0x967c6423a55ee21c6f641f5ca11dfc, 0x2962daeacf09aac3e29a57a5f0d8ef, 0x0000f1], + ), + F::from_limbs( + [0x27279edc58fd1ce3909bdfa35ee205, 0x7df04eb2ae3e8875f56db1fbe72c64, 0x0072fc], + ), + F::from_limbs( + [0xa48d852fc35b7c3556faf3eba03702, 0x7d9f742f652cb5537e7ab5699d8e10, 0x000a28], + ), + F::from_limbs( + [0x19167dd03b0082caa9050b145fc8ff, 0x29b3b56e181b7de6598d54383a7743, 0x0069c5], + ), + F::from_limbs( + [0x4ece6e79d374f7694d7d44aa42aaf2, 0x25830d537d2afc0117e00180409d8d, 0x005c98], + ), + F::from_limbs( + [0x6ed594862ae70796b282ba55bd550f, 0x81d01c4a001d3738c02808219767c6, 0x001755], + ), + F::from_limbs( + [0xb02312ec12eeec6e8f66fbf9b79cc1, 0xb52abbca218662fa4f9250a0361b14, 0x002c94], + ), + F::from_limbs( + [0x0d80f013eb6d129170990306486340, 0xf2286dd35bc1d03f8875b901a1ea3f, 0x004758], + ), + F::from_limbs( + [0x06b58844f30ad2b5006d3e54988604, 0x08e682580ff68a3ffa39d11f260543, 0x0051cb], + ), + F::from_limbs( + [0xb6ee7abb0b512c4aff92c0ab6779fd, 0x9e6ca7456d51a8f9ddce3882b20010, 0x002222], + ), + F::from_limbs( + [0x07e8ac00ccd608596a75b117ddfba0, 0x1c78170c4872ed5d290fa2d313f10c, 0x0021a0], + ), + F::from_limbs( + [0xb5bb56ff3185f6a6958a4de8220461, 0x8adb129134d545dcaef866cec41447, 0x00524d], + ), + F::from_limbs( + [0x309873a10967a45beb4be6840f3104, 0xdee51318c6e47085da8a68d064ea95, 0x005b93], + ), + F::from_limbs( + [0x8d0b8f5ef4f45aa414b4187bf0cefd, 0xc86e1684b663c2b3fd7da0d1731abe, 0x001859], + ), + F::from_limbs( + [0x6bccfd4eb9f5f9bac25779bd028d08, 0x4c188b40510d4553ed07dd76774c14, 0x00204e], + ), + F::from_limbs( + [0x51d705b1446605453da88542fd72f9, 0x5b3a9e5d2c3aede5eb002c2b60b93f, 0x00539f], + ), + F::from_limbs( + [0x9cde21536c74fac14aa34c68accbfa, 0xacabe5adc2561160383ee23ed3ba6d, 0x0017a9], + ), + F::from_limbs( + [0x20c5e1ac91e7043eb55cb297533407, 0xfaa743efbaf221d99fc92763044ae6, 0x005c43], + ), + F::from_limbs( + [0x0e05ddcf13a22fbd9b29beb5d8cc55, 0x7f61fc62e2a94bc3a5672aa39e4215, 0x000c58], + ), + F::from_limbs( + [0xaf9e2530eab9cf4264d6404a2733ac, 0x27f12d3a9a9ee77632a0defe39c33e, 0x006795], + ), + F::from_limbs( + [0x375b2142604d30f4d7712a9f7e571c, 0xcab5043cc4f48ad290c1186b578186, 0x005b3c], + ), + F::from_limbs( + [0x8648e1bd9e0ece0b288ed46081a8e5, 0xdc9e2560b853a8674746f1368083cd, 0x0018b0], + ), + F::from_limbs( + [0x0d311f3cdb74b04dc26f175eaf57e2, 0x9930e7bfc55513a31b5c3e627cc654, 0x00000d], + ), + F::from_limbs( + [0xb072e3c322e74eb23d90e7a150a81f, 0x0e2241ddb7f31f96bcabcb3f5b3eff, 0x0073e0], + ), + F::from_limbs( + [0x0a9c3e533dc34f63482f5e6ac7f5ee, 0x67bf56026f1264f3c71a7fc4285c1b, 0x001ef8], + ), + F::from_limbs( + [0xb307c4acc098af9cb7d0a095380a13, 0x3f93d39b0e35ce4610ed89ddafa938, 0x0054f5], + ), + F::from_limbs( + [0xf4363b42e95eb239d9acde14fb20e2, 0xa43cfc49003d2e82c238e01af647d6, 0x0034fe], + ), + F::from_limbs( + [0xc96dc7bd14fd4cc6265320eb04df1f, 0x03162d547d0b04b715cf2986e1bd7c, 0x003eef], + ), + F::from_limbs( + [0x537def6e0f30f92345e2553f15b27d, 0x399fdefa8ddc87f3c352e16c5500fb, 0x005ae6], + ), + F::from_limbs( + [0x6a261391ef2b05dcba1da9c0ea4d84, 0x6db34aa2ef6bab4614b52835830458, 0x001907], + ), + F::from_limbs( + [0x2f5049b1d0e187821f241ffda547a5, 0x8f3a988966e051b31982d33b68de07, 0x000c4e], + ), + F::from_limbs( + [0x8e53b94e2d7a777de0dbdf025ab85c, 0x181891141667e186be8536666f274c, 0x00679f], + ), + F::from_limbs( + [0x0f2fa24cca7e118a23f8184f67be53, 0x33bf9e5c6e898b6d5abad78fbbc311, 0x005a94], + ), + F::from_limbs( + [0xae7460b333dded75dc07e6b09841ae, 0x73938b410ebea7cc7d4d32121c4242, 0x001959], + ), + F::from_limbs( + [0x58b769fd60bae85dd0ba3600c21ea9, 0xcba700d5638da68d1e587fd67f193c, 0x00442a], + ), + F::from_limbs( + [0x64ec99029da116a22f45c8ff3de158, 0xdbac28c819ba8cacb9af89cb58ec17, 0x002fc2], + ), + F::from_limbs( + [0x49a4ab02e82f769ee500f647f7d43b, 0xb7446f10658c06ede0897762f302e9, 0x003cc1], + ), + F::from_limbs( + [0x73ff57fd162c88611aff08b8082bc6, 0xf00eba8d17bc2c4bf77e923ee5026a, 0x00372b], + ), + F::from_limbs( + [0x511800ae1cf2a898a5dc3fa6a50014, 0x687779a20ce0b1eeadb86ec0a240a1, 0x000f9d], + ), + F::from_limbs( + [0x6c8c0251e16956675a23bf595affed, 0x3edbaffb7067814b2a4f9ae135c4b2, 0x006450], + ), + F::from_limbs( + [0xa29e201b732f6dad4c4a46f5409741, 0xb39452ab3a4709599704eba189b706, 0x0017f3], + ), + F::from_limbs( + [0x1b05e2e48b2c9152b3b5b80abf68c0, 0xf3bed6f2430129e041031e004e4e4d, 0x005bf9], + ), + F::from_limbs( + [0x8c90ec812879e1589db18082632470, 0x0d64d5746e14f108e29cdc4cf25ab0, 0x000bd7], + ), + F::from_limbs( + [0x3113167ed5e21da7624e7e7d9cdb91, 0x99ee54290f334230f56b2d54e5aaa3, 0x006816], + ), + F::from_limbs( + [0xe820d586118b4a5213a84b62a68904, 0x52bba176b0cf4add1ac0d9aa0cc9d8, 0x0046e3], + ), + F::from_limbs( + [0xd5832d79ecd0b4adec57b39d5976fd, 0x54978826cc78e85cbd472ff7cb3b7a, 0x002d0a], + ), + F::from_limbs( + [0x285991341c908ed897ab600af26a9f, 0x4729896b3e93c2aeac62b2b1175d52, 0x006743], + ), + F::from_limbs( + [0x954a71cbe1cb702768549ef50d9562, 0x6029a0323eb4708b2ba556f0c0a801, 0x000caa], + ), + F::from_limbs( + [0xee64f977b0bc8213b864a44525e8e4, 0x576fae62c2747e9d59a9016efb44e8, 0x001b4d], + ), + F::from_limbs( + [0xcf3f09884d9f7cec479b5abada171d, 0x4fe37b3abad3b49c7e5f0832dcc06a, 0x0058a0], + ), + F::from_limbs( + [0xbb530e72b7bfc3855fca21c045e849, 0x249e0bfc4d51cc64d8b824c354c377, 0x0023d3], + ), + F::from_limbs( + [0x0250f48d469c3b7aa035dd3fba17b8, 0x82b51da12ff666d4ff4fe4de8341dc, 0x00501a], + ), + F::from_limbs( + [0x82849fa29e943275fe4524a3df9914, 0x4787c92fb6003ec786b72669f55ce5, 0x00043f], + ), + F::from_limbs( + [0x3b1f635d5fc7cc8a01bada5c2066ed, 0x5fcb606dc747f4725150e337e2a86e, 0x006fae], + ), + F::from_limbs( + [0x6b6f86bf14aefcc2338ad83cdfa657, 0xb53f58ce81940a859ee7dfedce98f1, 0x005c9d], + ), + F::from_limbs( + [0x52347c40e9ad023dcc7526c32059aa, 0xf213d0cefbb428b4392029b4096c62, 0x00174f], + ), + F::from_limbs( + [0xdcf47128786d2189831ce42c6138b3, 0x498eb85e702360db58e449ef2a892a, 0x0003f6], + ), + F::from_limbs( + [0xe0af91d785eedd767ce31ad39ec74e, 0x5dc4713f0d24d25e7f23bfb2ad7c28, 0x006ff7], + ), + F::from_limbs( + [0xf89acd6211e66705b59d4d67e78267, 0x51a561f4691450c8d1e120be501af7, 0x003dde], + ), + F::from_limbs( + [0xc509359dec7597fa4a62b198187d9a, 0x55adc7a91433e2710626e8e387ea5b, 0x00360f], + ), + F::from_limbs( + [0x5c622bba78e96e62ad6e618cd63fc9, 0xe604e2122797b4fc5b308c0f64c4b1, 0x006f1b], + ), + F::from_limbs( + [0x6141d7458572909d52919d7329c038, 0xc14e478b55b07e3d7cd77d927340a2, 0x0004d1], + ), + F::from_limbs( + [0x7e9861925f3c85728b638faa490c47, 0x8f85d4bb9c9568fd174cc19863a83f, 0x001590], + ), + F::from_limbs( + [0x3f0ba16d9f1f798d749c6f55b6f3ba, 0x17cd54e1e0b2ca3cc0bb4809745d14, 0x005e5d], + ), + F::from_limbs( + [0x5cc1b32b2a1950ab93f25b2906d21a, 0x69a09d5aa6587cf3f6638899a0097e, 0x00671e], + ), + F::from_limbs( + [0x60e24fd4d442ae546c0da3d6f92de7, 0x3db28c42d6efb645e1a4810837fbd5, 0x000ccf], + ), + F::from_limbs( + [0xc8f5dd633013028cfda586295ea84b, 0x7cce960c7027f14b86bb7c12055e83, 0x003da0], + ), + F::from_limbs( + [0xf4ae259cce48fc73025a78d6a157b6, 0x2a8493910d2041ee514c8d8fd2a6cf, 0x00364d], + ), + F::from_limbs( + [0x71d0d9c1e612bd99b980c752953536, 0x26c472d9a268f3d2329d2bd130b8e7, 0x005126], + ), + F::from_limbs( + [0x4bd3293e18494166467f37ad6acacb, 0x808eb6c3dadf3f67a56addd0a74c6c, 0x0022c7], + ), + F::from_limbs( + [0x735dfec23461fb447108a871678206, 0x593fb2d1e4796f84312c4cd1ae75c2, 0x000d82], + ), + F::from_limbs( + [0x4a46043dc9fa03bb8ef7568e987dfb, 0x4e1376cb98cec3b5a6dbbcd0298f91, 0x00666b], + ), + F::from_limbs( + [0x29130b18a08ed66bb7b793ab94d67d, 0xd9b87eff068a96987520a4a84e5315, 0x006d86], + ), + F::from_limbs( + [0x9490f7e75dcd289448486b546b2984, 0xcd9aaa9e76bd9ca162e764f989b23e, 0x000666], + ), + F::from_limbs( + [0xefd6b0570bf109d58a5af42d010ff9, 0xb09858f43cef3ed6d55a6350721d79, 0x002f27], + ), + F::from_limbs( + [0xcdcd52a8f26af52a75a50ad2fef008, 0xf6bad0a94058f46302ada65165e7d9, 0x0044c5], + ), + F::from_limbs( + [0x977360b30175c52dbb2cf227158434, 0x2fe0ca12c0b44b70ca6708f3104867, 0x002318], + ), + F::from_limbs( + [0x2630a24cfce639d244d30cd8ea7bcd, 0x77725f8abc93e7c90da100aec7bcec, 0x0050d5], + ), + F::from_limbs( + [0x835c9ca817ed357b3354fe4df74d21, 0xa535477e1384fba967880c356fda5d, 0x006d52], + ), + F::from_limbs( + [0x3a476657e66ec984ccab00b208b2e0, 0x021de21f69c33790707ffd6c682af6, 0x00069b], + ), + F::from_limbs( + [0x62f50c1fa01a6ebf12d1967f5228c6, 0xcccb86887bc1090ea1eafe6cd3d6f0, 0x0021c7], + ), + F::from_limbs( + [0x5aaef6e05e419040ed2e6880add73b, 0xda87a31501872a2b361d0b35042e63, 0x005225], + ), + F::from_limbs( + [0x783e184f0f10da4ad463040bfa6b96, 0x89d9a062ba8ff6e0797726f231b176, 0x004b12], + ), + F::from_limbs( + [0x4565eab0ef4b24b52b9cfaf405946b, 0x1d79893ac2b83c595e90e2afa653dd, 0x0028db], + ), + F::from_limbs( + [0x7fcbf22df21291ca782131084255da, 0xb49750ddb83253aa8f5c166504001b, 0x002164], + ), + F::from_limbs( + [0x3dd810d20c496d3587decdf7bdaa27, 0xf2bbd8bfc515df8f48abf33cd40538, 0x005288], + ), + F::from_limbs( + [0xeea8827f4e9ec602b926b27753b127, 0xfbbd7f20c3ced966ea577b468e20b9, 0x004f0e], + ), + F::from_limbs( + [0xcefb8080afbd38fd46d94c88ac4eda, 0xab95aa7cb97959d2edb08e5b49e499, 0x0024de], + ), + F::from_limbs( + [0xa933db67c24c70716d094756b66d63, 0x1aa615b346f8ebad67ddc10c732ae8, 0x0004d2], + ), + F::from_limbs( + [0x147027983c0f8e8e92f6b7a949929e, 0x8cad13ea364f478c702a489564da6b, 0x006f1b], + ), + F::from_limbs( + [0xf79311d4603ebe660cb35a9fa42972, 0xdb65a3240463f4216b3d286b5f60ee, 0x000b7b], + ), + F::from_limbs( + [0xc610f12b9e1d4099f34ca4605bd68f, 0xcbed867978e43f186ccae13678a464, 0x006871], + ), + F::from_limbs( + [0xafc701df2ef92f02a3555fc5ee25f7, 0x471ca69edd738a2bb3e93d180d6310, 0x004751], + ), + F::from_limbs( + [0x0ddd0120cf62cffd5caa9f3a11da0a, 0x603682fe9fd4a90e241ecc89caa243, 0x002c9c], + ), + F::from_limbs( + [0x83b10a7188a75be4d08b3a9bd95dc2, 0xc0e837c5ea1d5fd7929a9439bb000a, 0x0012c1], + ), + F::from_limbs( + [0x39f2f88e75b4a31b2f74c46426a23f, 0xe66af1d7932ad362456d75681d0549, 0x00612b], + ), + F::from_limbs( + [0x40d6987940175aa503ad6c44bc5ff8, 0xb1e6bfb9702607fd3c97042f2373a4, 0x005a03], + ), + F::from_limbs( + [0x7ccd6a86be44a45afc5292bb43a009, 0xf56c69e40d222b3c9b710572b491af, 0x0019e9], + ), + F::from_limbs( + [0x9c55f6ffe871ea5ddbbc4e9b6615b8, 0x0415d906203d93cbbee466fd232897, 0x00005c], + ), + F::from_limbs( + [0x214e0c0015ea14a22443b06499ea49, 0xa33d50975d0a9f6e1923a2a4b4dcbc, 0x007391], + ), + F::from_limbs( + [0xd30122c843684408d2342a11db2c67, 0xe20c7f6c968c5058ca294459777599, 0x002c14], + ), + F::from_limbs( + [0xeaa2e037baf3baf72dcbd4ee24d39a, 0xc546aa30e6bbe2e10ddec548608fb9, 0x0047d8], + ), + F::from_limbs( + [0xcf9853c5492f70dbe2b6ae6a65e380, 0x4b4b630bd746efffb256ee28750441, 0x000c94], + ), + F::from_limbs( + [0xee0baf3ab52c8e241d4950959a1c81, 0x5c07c691a601433a25b11b79630111, 0x006759], + ), + F::from_limbs( + [0xa240a2a069113c159a067743cae6c5, 0xeb7f91a0d0a7f1d0c3c19d09cf9306, 0x00585a], + ), + F::from_limbs( + [0x1b63605f954ac2ea65f987bc35193c, 0xbbd397fcaca0416914466c9808724d, 0x001b92], + ), + F::from_limbs( + [0xc301f4f32087447899594a115b42ec, 0xa53a04150fa19233a27cfafd0e6ca8, 0x002e4c], + ), + F::from_limbs( + [0xfaa20e0cddd4ba8766a6b4eea4bd15, 0x021925886da6a106358b0ea4c998aa, 0x0045a1], + ), + F::from_limbs( + [0xb12fefba555a4c968b0decdd5c8bff, 0xbdc683722a25b401681bc0a21dae2e, 0x001c50], + ), + F::from_limbs( + [0x0c741345a901b26974f21222a37402, 0xe98ca62b53227f386fec48ffba5725, 0x00579c], + ), + F::from_limbs( + [0xefb15e20ddffa892cbd498b8ae4748, 0x2ca691fde3753d113105a6f6224cab, 0x0037a8], + ), + F::from_limbs( + [0xcdf2a4df205c566d342b664751b8b9, 0x7aac979f99d2f628a70262abb5b8a7, 0x003c45], + ), + F::from_limbs( + [0xde6c81def05707ddd48b53c0632b7f, 0xb79237478ed134868d055a78d4d127, 0x006482], + ), + F::from_limbs( + [0xdf3781210e04f7222b74ab3f9cd482, 0xefc0f255ee76feb34b02af2903342b, 0x000f6a], + ), + F::from_limbs( + [0x905e68e892d76597534a53351aeb21, 0xc2b7e09e88cf54c6bcf61242906281, 0x001c1b], + ), + F::from_limbs( + [0x2d459a176b849968acb5abcae514e0, 0xe49b48fef478de731b11f75f47a2d2, 0x0057d1], + ), + F::from_limbs( + [0x3059b2dacb997091e05fa34880ee67, 0xb79d4996ad5169ae844074894dab48, 0x002374], + ), + F::from_limbs( + [0x8d4a502532c28e6e1fa05bb77f119a, 0xefb5e006cff6c98b53c795188a5a0b, 0x005078], + ), + F::from_limbs( + [0x81a6284dfcdcdb79aca024dfa3bea6, 0x4cf83a91c028b44b584b898ea2487e, 0x0032af], + ), + F::from_limbs( + [0x3bfddab2017f2386535fda205c415b, 0x5a5aef0bbd1f7eee7fbc801335bcd5, 0x00413e], + ), + F::from_limbs( + [0xe255d810db7c7ba57428937e370687, 0x2e7f20b138794741d7afe1d1739af4, 0x004cf7], + ), + F::from_limbs( + [0xdb4e2aef22df835a8bd76b81c8f97a, 0x78d408ec44ceebf8005827d0646a5e, 0x0026f6], + ), + F::from_limbs( + [0x2a36904e65334d504798a56d84b81b, 0x4e6452d677424619a91495c55a387a, 0x001963], + ), + F::from_limbs( + [0x936d72b19928b1afb86759927b47e6, 0x58eed6c70605ed202ef373dc7dccd9, 0x005a8a], + ), + F::from_limbs( + [0x892679c5bf83b3bedbfaac558c8d18, 0xe9ac49520d3dc9997bf03a451a6630, 0x003754], + ), + F::from_limbs( + [0x347d893a3ed84b41240552aa7372e9, 0xbda6e04b700a69a05c17cf5cbd9f23, 0x003c98], + ), + F::from_limbs( + [0xf254f66ae5ee531c14292bf0255fd5, 0x1effcfc73d5c86252263d4232859d9, 0x00526e], + ), + F::from_limbs( + [0xcb4f0c95186dabe3ebd6d30fdaa02c, 0x885359d63febad14b5a4357eafab79, 0x00217f], + ), + F::from_limbs( + [0xe17e99d8256761f9a5ad12c1f3853f, 0x36423bc3f0fae23f188a9a547b7d01, 0x006a6d], + ), + F::from_limbs( + [0xdc256927d8f49d065a52ec3e0c7ac2, 0x7110edd98c4d50fabf7d6f4d5c8851, 0x000980], + ), + F::from_limbs( + [0x306689091abed321eed5418571ac33, 0x92d95a4ef11d7cddd189d0ec4d20a0, 0x000e3d], + ), + F::from_limbs( + [0x8d3d79f6e39d2bde112abd7a8e53ce, 0x1479cf4e8c2ab65c067e38b58ae4b3, 0x0065b0], + ), + F::from_limbs( + [0x3d1d54f8f2982de43fdb36bf47bcc3, 0xba63f2b18adc6f2e9e0b45136d4f1c, 0x006efb], + ), + F::from_limbs( + [0x8086ae070bc3d11bc024c840b8433e, 0xecef36ebf26bc40b39fcc48e6ab637, 0x0004f1], + ), + F::from_limbs( + [0x902f381368c0b10a873d6c9d82cbdd, 0x7b0015a2d0fe32712683cabe07344f, 0x0050ee], + ), + F::from_limbs( + [0x2d74caec959b4df578c292627d3424, 0x2c5313faac4a00c8b1843ee3d0d104, 0x0022ff], + ), + F::from_limbs( + [0xee61519e282a1877ab619f936cb9e1, 0xf2c40c622d5c14a79f3664b930f42d, 0x002e62], + ), + F::from_limbs( + [0xcf42b161d631e688549e5f6c934620, 0xb48f1d3b4fec1e9238d1a4e8a71125, 0x00458a], + ), + F::from_limbs( + [0xc4dccaecd1fbf5e4f8b0b094a83cb3, 0xa8ec3ef066195ec440a4e3fd2ea14c, 0x000539], + ), + F::from_limbs( + [0xf8c738132c60091b074f4e6b57c34e, 0xfe66eaad172ed475976325a4a96406, 0x006eb3], + ), + F::from_limbs( + [0xea27b86283f69cf28211eacc0710ff, 0x0a61fb4687169578008f160eb02032, 0x0016a8], + ), + F::from_limbs( + [0xd37c4a9d7a65620d7dee1433f8ef02, 0x9cf12e56f6319dc1d778f39327e520, 0x005d45], + ), + F::from_limbs( + [0x53ec9a4a2ac078308183f53cba4097, 0x9444ba3d2df9d017f9d3a6beb55f1f, 0x004fb9], + ), + F::from_limbs( + [0x69b768b5d39b86cf7e7c09c345bf6a, 0x130e6f604f4e6321de3462e322a634, 0x002434], + ), + F::from_limbs( + [0xd20df595f39f2afdc2fcf153ad903c, 0x2ece77c82d2c0c03b16ef100307a6e, 0x000d33], + ), + F::from_limbs( + [0xeb960d6a0abcd4023d030dac526fc5, 0x7884b1d5501c2736269918a1a78ae4, 0x0066ba], + ), + F::from_limbs( + [0x0ac6a330a41421f54ee691e0643777, 0x4f96d2ac9b3923c8d9e9259802f7d7, 0x002194], + ), + F::from_limbs( + [0xb2dd5fcf5a47dd0ab1196d1f9bc88a, 0x57bc56f0e20f0f70fe1ee409d50d7c, 0x005259], + ), + F::from_limbs( + [0x0e3d52802ba363eb2b24461b367723, 0x0dba5e260f57ac9e3e8ba3ed80a750, 0x006e68], + ), + F::from_limbs( + [0xaf66b07fd2b89b14d4dbb8e4c988de, 0x9998cb776df0869b997c65b4575e03, 0x000585], + ), + F::from_limbs( + [0xc786c39e8d76c168070ff63089758b, 0x4bf2fd4556aba449afd09e0b523b9a, 0x0047cd], + ), + F::from_limbs( + [0xf61d3f6170e53d97f8f008cf768a76, 0x5b602c58269c8ef028376b9685c9b8, 0x002c20], + ), + F::from_limbs( + [0x5b740bab2ae626b3a288e56cbe6ba2, 0x2ec9ee1056d93f5bdf1610b8e02c02, 0x0061be], + ), + F::from_limbs( + [0x622ff754d375d84c5d77199341945f, 0x78893b8d266ef3ddf8f1f8e8f7d951, 0x00122f], + ), + F::from_limbs( + [0xb2b4506b58821b9782d98e09dd2095, 0x1180e4201fdd09faded963276eda9c, 0x001717], + ), + F::from_limbs( + [0x0aefb294a5d9e3687d2670f622df6c, 0x95d2457d5d6b293ef92ea67a692ab7, 0x005cd6], + ), + F::from_limbs( + [0x59d09e36445b2c8d76f7be4ffbdf0c, 0x7d907dfec3418f3e53c99a199f8fa5, 0x005deb], + ), + F::from_limbs( + [0x63d364c9ba00d272890840b00420f5, 0x29c2ab9eba06a3fb843e6f883875ae, 0x001602], + ), + F::from_limbs( + [0x5abe13ab2a152efe228225b0b37c11, 0x78ed18c25162b9575235ed65ee9b01, 0x005681], + ), + F::from_limbs( + [0x62e5ef54d446d001dd7dd94f4c83f0, 0x2e6610db2be579e285d21c3be96a52, 0x001d6c], + ), + F::from_limbs( + [0xd8c7e12991d3593a7478c980a80dcd, 0xb7a1c70a28635fea4420d98de0ddff, 0x00077f], + ), + F::from_limbs( + [0xe4dc21d66c88a5c58b87357f57f234, 0xefb1629354e4d34f93e73013f72753, 0x006c6d], + ), + F::from_limbs( + [0xbe7f08f42eb31a40103db7fbe67596, 0x76187ee6c6269fbef78669ab90d7d8, 0x005cb3], + ), + F::from_limbs( + [0xff24fa0bcfa8e4bfefc24704198a6b, 0x313aaab6b721937ae0819ff6472d7a, 0x00173a], + ), + F::from_limbs( + [0x1234f45f84b51a2458759b86aa9b46, 0xbce4857298de5aa7436a8e41578bef, 0x001ade], + ), + F::from_limbs( + [0xab6f0ea079a6e4dba78a63795564bb, 0xea6ea42ae469d892949d7b60807964, 0x00590e], + ), + F::from_limbs( + [0xe8cb30c74f3496a5de0a8cb929b435, 0x7142c749358132565e4a3f276dddcf, 0x00263d], + ), + F::from_limbs( + [0xd4d8d238af27685a21f57246d64bcc, 0x3610625447c700e379bdca7a6a2783, 0x004db0], + ), + F::from_limbs( + [0xc06812fcc08500e1b3a80d3dc99e5a, 0xde2bae7c6bb687328292c58f0914fc, 0x000a7a], + ), + F::from_limbs( + [0xfd3bf0033dd6fe1e4c57f1c23661a7, 0xc9277b211191ac0755754412cef056, 0x006972], + ), + F::from_limbs( + [0xc8b17cc28f5b5914730aa651dc14c6, 0x0a2862c6b0aa7e00857f06f8f13093, 0x001dca], + ), + F::from_limbs( + [0xf4f2863d6f00a5eb8cf558ae23eb3b, 0x9d2ac6d6cc9db539528902a8e6d4bf, 0x005623], + ), + F::from_limbs( + [0x1230bc0e387e9558bd52e8fdf0f3fa, 0x0e85c8adf888bf4821c2f7e1d5e5bb, 0x003755], + ), + F::from_limbs( + [0xab7346f1c5dd69a742ad16020f0c07, 0x98cd60ef84bf73f1b64511c0021f98, 0x003c98], + ), + F::from_limbs( + [0xe24941616914e7ad110ef96d2c8b89, 0x2f2b1ea09b86b3e9ced3336c9ff439, 0x001bbc], + ), + F::from_limbs( + [0xdb5ac19e95471752eef10592d37478, 0x78280afce1c17f500934d635381119, 0x005831], + ), + F::from_limbs( + [0xb530ecbcf382bb730881f99cce2b05, 0x97b86edc1c02dfa201d28456bec63b, 0x00008a], + ), + F::from_limbs( + [0x087316430ad9438cf77e056331d4fc, 0x0f9abac161455397d635854b193f18, 0x007363], + ), + F::from_limbs( + [0xa7275730b5b11515f4e3caddb042a0, 0xf0a1a79dc567185006d5ff757c19fe, 0x0056c8], + ), + F::from_limbs( + [0x167cabcf48aae9ea0b1c34224fbd61, 0xb6b181ffb7e11ae9d1320a2c5beb55, 0x001d24], + ), + F::from_limbs( + [0x61b6a2481f0bc6f89b6e4cc3f8a8d9, 0xcbcfbfa6e1cac504800176c799853b, 0x005048], + ), + F::from_limbs( + [0x5bed60b7df5038076491b23c075728, 0xdb8369f69b7d6e35580692da3e8018, 0x0023a4], + ), + F::from_limbs( + [0x65dd758be92292d21af29fac91cf26, 0xf5feecd35328814b1382cf67a22cc2, 0x00503f], + ), + F::from_limbs( + [0x57c68d7415396c2de50d5f536e30db, 0xb1543cca2a1fb1eec4853a3a35d891, 0x0023ad], + ), + F::from_limbs( + [0x1f5a7f98a0d41d2fb01e7994ae9e07, 0x266275af949d1efef1ea963a619c6d, 0x007145], + ), + F::from_limbs( + [0x9e4983675d87e1d04fe1856b5161fa, 0x80f0b3ede8ab143ae61d73677668e6, 0x0002a8], + ), + F::from_limbs( + [0x8d78320cf0b1dc0bf6682a1f324c98, 0xd95c3d037697cca953c9a7d7135772, 0x004e04], + ), + F::from_limbs( + [0x302bd0f30daa22f40997d4e0cdb369, 0xcdf6ec9a06b06690843e61cac4ade1, 0x0025e8], + ), + F::from_limbs( + [0xab429c42218eea9d1a8d0cdf05b3f5, 0xba420ebae0ca2485088dcd0eedfd0f, 0x004571], + ), + F::from_limbs( + [0x126166bddccd1462e572f220fa4c0c, 0xed111ae29c7e0eb4cf7a3c92ea0844, 0x002e7b], + ), + F::from_limbs( + [0x8a07f9f945e0a8a970b4f3f6820606, 0xc78bdc342aafc2989b69d7031f283b, 0x003573], + ), + F::from_limbs( + [0x339c0906b87b56568f4b0b097df9fb, 0xdfc74d69529870a13c9e329eb8dd18, 0x003e79], + ), + F::from_limbs( + [0x17df56d813171c551a3d49cec26fff, 0xd46e142d366d1862d870c69ea23d3b, 0x0034df], + ), + F::from_limbs( + [0xa5c4ac27eb44e2aae5c2b5313d9002, 0xd2e5157046db1ad6ff97430335c818, 0x003f0d], + ), + F::from_limbs( + [0x71280f074d1440d341280e40f6ff69, 0x493dd2c18195b3d4f002ab14fce7d7, 0x003657], + ), + F::from_limbs( + [0x4c7bf3f8b147be2cbed7f0bf090098, 0x5e1556dbfbb27f64e8055e8cdb1d7c, 0x003d96], + ), + F::from_limbs( + [0x7d5dfa3a479c8e611337171217a856, 0x8a69cc191d70c9bffed16f4a90e9b9, 0x0023f6], + ), + F::from_limbs( + [0x404608c5b6bf709eecc8e7ede857ab, 0x1ce95d845fd76979d9369a57471b9a, 0x004ff7], + ), + F::from_limbs( + [0x2297d77e27dabdc088bdd905a55f21, 0xe5ba74ab8f7b7943135dbd04ce91ce, 0x000ec6], + ), + F::from_limbs( + [0x9b0c2b81d681413f774225fa5aa0e0, 0xc198b4f1edccb9f6c4aa4c9d097385, 0x006526], + ), + F::from_limbs( + [0x1780f66062d06efdbc5c8f8076051c, 0xff129029040c12f30d72abc32d1510, 0x002214], + ), + F::from_limbs( + [0xa6230c9f9b8b900243a36f7f89fae5, 0xa8409974793c2046ca955ddeaaf043, 0x0051d8], + ), + F::from_limbs( + [0xff74fc1738cfd4e640defe9c3d1988, 0x5f9a2cb148576539d6e7048fb70e71, 0x002be5], + ), + F::from_limbs( + [0xbe2f06e8c58c2a19bf210063c2e679, 0x47b8fcec34f0ce000121051220f6e1, 0x004808], + ), + F::from_limbs( + [0xfee0e9919be7eb242860ad1233361d, 0x51765816dd0870c5f64dfff44c0fe1, 0x005251], + ), + F::from_limbs( + [0xbec3196e627413dbd79f51edccc9e4, 0x55dcd186a03fc273e1ba09ad8bf571, 0x00219c], + ), + F::from_limbs( + [0x1d417ac2d72f8681deb3aea33c8449, 0xf5bec7ef45efbf9de97916504aabd2, 0x002801], + ), + F::from_limbs( + [0xa062883d272c787e214c505cc37bb8, 0xb19461ae3758739bee8ef3518d5981, 0x004beb], + ), + F::from_limbs( + [0xffd9cd43748cd07e797c34f167e1ae, 0xfb8721c1baed95f9167176d30171d8, 0x0032d0], + ), + F::from_limbs( + [0xbdca35bc89cf2e818683ca0e981e53, 0xabcc07dbc25a9d40c19692ced6937a, 0x00411c], + ), + F::from_limbs( + [0x46efcbd5cbd25bcdea20340e865edc, 0x5cf7ea7460e71bb5ebece92e50178a, 0x003bbb], + ), + F::from_limbs( + [0x76b4372a3289a33215dfcaf179a125, 0x4a5b3f291c611783ec1b207387edc9, 0x003832], + ), + F::from_limbs( + [0x1acd98fa4e19e15adb37a5ea82fe43, 0x64500bde4ae6b522fed010b950c90d, 0x0039b7], + ), + F::from_limbs( + [0xa2d66a05b0421da524c859157d01be, 0x43031dbf32617e16d937f8e8873c46, 0x003a36], + ), + F::from_limbs( + [0xf97bf1fe6c26fcec89f106fb90245c, 0xcc7b13e9ecf1b6504cd2a95cc231ba, 0x00707c], + ), + F::from_limbs( + [0xc428110192350213760ef8046fdba5, 0xdad815b390567ce98b35604515d398, 0x000370], + ), + F::from_limbs( + [0xb40031a396daed1d58d36d2887248a, 0xefd47eb0b490fb4b5fe309008ffb30, 0x0025d6], + ), + F::from_limbs( + [0x09a3d15c678111e2a72c91d778db77, 0xb77eaaecc8b737ee782500a1480a23, 0x004e16], + ), + F::from_limbs( + [0xb896192a36d9e94f4e49f4db97e1d9, 0x2ffe51ef6ac663a47e046c9d5d166c, 0x003fd0], + ), + F::from_limbs( + [0x050de9d5c78215b0b1b60a24681e28, 0x7754d7ae1281cf955a039d047aeee7, 0x00341d], + ), + F::from_limbs( + [0x3c79d13bd65d4193ca2d1bc7fd9263, 0x66ae43c4c3c56831575a9d83a15eb2, 0x003933], + ), + F::from_limbs( + [0x812a31c427febd6c35d2e338026d9e, 0x40a4e5d8b982cb0880ad6c1e36a6a1, 0x003aba], + ), + F::from_limbs( + [0x8534756de28ddf9c097282f8518c00, 0x2e85cd535086081a5545bd583161c8, 0x005fc4], + ), + F::from_limbs( + [0x386f8d921bce1f63f68d7c07ae7401, 0x78cd5c4a2cc22b1f82c24c49a6a38b, 0x001429], + ), + F::from_limbs( + [0x7ad52f8a5c627be96a0110191444de, 0xd5d6f7db3f4f0f669bb5886c3af4cb, 0x000753], + ), + F::from_limbs( + [0x42ced375a1f9831695feeee6ebbb23, 0xd17c31c23df923d33c5281359d1088, 0x006c99], + ), + F::from_limbs( + [0xfcbf4084f4f9b2c30b3c3647dd9723, 0x82a49d6b5c74782c1cd532b1b61313, 0x002b73], + ), + F::from_limbs( + [0xc0e4c27b09624c3cf4c3c8b82268de, 0x24ae8c3220d3bb0dbb32d6f021f23f, 0x00487a], + ), + F::from_limbs( + [0x5167b6e1c6e7094e396cf2c8808fc1, 0x2b3fd45a67f93cbcdfb94554c90356, 0x00403c], + ), + F::from_limbs( + [0x6c3c4c1e3774f5b1c6930c377f7040, 0x7c135543154ef67cf84ec44d0f01fd, 0x0033b1], + ), + F::from_limbs( + [0xaad9d1e07e8ad1c6704a19b8498e4c, 0x9a8e6f552967166e1d63d16fa4191b, 0x002cfc], + ), + F::from_limbs( + [0x12ca311f7fd12d398fb5e547b671b5, 0x0cc4ba4853e11ccbbaa4383233ec38, 0x0046f1], + ), + F::from_limbs( + [0xa6f095c3e393ea78bad60fe8295af1, 0x51570dd9c749cd846dedf76d82d68e, 0x0018f1], + ), + F::from_limbs( + [0x16b36d3c1ac814874529ef17d6a510, 0x55fc1bc3b5fe65b56a1a1234552ec5, 0x005afc], + ), + F::from_limbs( + [0xd4799a1030031151641d355ed74859, 0xa82ef937f7a8184e37dc8531cf3300, 0x005c33], + ), + F::from_limbs( + [0xe92a68efce58edae9be2c9a128b7a8, 0xff24306585a01aeba02b847008d252, 0x0017b9], + ), + F::from_limbs( + [0x9183dce28ef8014fe8d6d7c4afe0a9, 0xcfdf2f836149018debf684e68567f3, 0x002b70], + ), + F::from_limbs( + [0x2c20261d6f63fdb01729273b501f58, 0xd773fa1a1bff31abec1184bb529d60, 0x00487c], + ), + F::from_limbs( + [0x78921f813dbb183c71a7402ec2eed5, 0x4ad5a9709b098e4630618320a9220e, 0x0034ff], + ), + F::from_limbs( + [0x4511e37ec0a0e6c38e58bed13d112c, 0x5c7d802ce23ea4f3a7a686812ee345, 0x003eee], + ), + F::from_limbs( + [0xb104627af5b12aeb15f8b2e0dc45d1, 0xafb9f051dae05d758652dede4d953e, 0x005765], + ), + F::from_limbs( + [0x0c9fa08508aad414ea074c1f23ba30, 0xf799394ba267d5c451b52ac38a7015, 0x001c87], + ), + F::from_limbs( + [0x076c47c5c2c17969253d44de1e4d00, 0x18e25537e45a543a827b37d2ebc611, 0x000970], + ), + F::from_limbs( + [0xb637bb3a3b9a8596dac2ba21e1b301, 0x8e70d46598eddeff558cd1ceec3f42, 0x006a7d], + ), + F::from_limbs( + [0x1a77c155967b404f527ffbb148e55b, 0x124a85c2aa3222dad195f08db8c103, 0x004820], + ), + F::from_limbs( + [0xa32c41aa67e0beb0ad80034eb71aa6, 0x9508a3dad316105f067219141f4450, 0x002bcd], + ), + F::from_limbs( + [0x526ac238e5a0c5a70265e120dec41a, 0xb91dbc2c171b610f40689e8bdb7e85, 0x0054a2], + ), + F::from_limbs( + [0x6b3940c718bb3958fd9a1ddf213be7, 0xee356d71662cd22a979f6b15fc86ce, 0x001f4a], + ), + F::from_limbs( + [0xbc3f5982e5d13e52ac9853b184617d, 0xcfe5971c4e6c2818670f0f6e1efe30, 0x005db5], + ), + F::from_limbs( + [0x0164a97d188ac0ad5367ab4e7b9e84, 0xd76d92812edc0b2170f8fa33b90723, 0x001637], + ), + F::from_limbs( + [0xea190ee72171b5bf96906be310d83a, 0xb49f8ab5bb56e6d4fddaed19d920a7, 0x005edc], + ), + F::from_limbs( + [0xd38af418dcea4940696f931cef27c7, 0xf2b39ee7c1f14c64da2d1c87fee4ab, 0x001510], + ), + F::from_limbs( + [0x1ca7fc06a7652dce89d9caeca2788e, 0x41484cc523db20e2ed344c1f0d27dc, 0x006fb2], + ), + F::from_limbs( + [0xa0fc06f956f6d131762634135d8773, 0x660adcd8596d1256ead3bd82cadd77, 0x00043b], + ), + F::from_limbs( + [0x24ee69f08086a145b0c011142f943c, 0xbc8be1039af2e00b5ea72b0ce3cc51, 0x002f6b], + ), + F::from_limbs( + [0x98b5990f7dd55dba4f3fedebd06bc5, 0xeac74899e255532e7960de94f43902, 0x004481], + ), + F::from_limbs( + [0x4e43d7d4c8cc800c599e831e62b8d6, 0xfe6e13f0c70ec64b7d75ada9bc94dc, 0x0020c6], + ), + F::from_limbs( + [0x6f602b2b358f7ef3a6617be19d472b, 0xa8e515acb6396cee5a925bf81b7077, 0x005326], + ), + F::from_limbs( + [0xa4cf29a5781cc8b8f0b1427b5e42f8, 0x14f60f00b7cfd56abdc480f96f516e, 0x001acf], + ), + F::from_limbs( + [0x18d4d95a863f36470f4ebc84a1bd09, 0x925d1a9cc5785dcf1a4388a868b3e5, 0x00591e], + ), + F::from_limbs( + [0x860ca3e0b0c8cd0d2607b31e34bf62, 0x39b5bc3017ffbab6734e04debb058b, 0x0046b3], + ), + F::from_limbs( + [0x37975f1f4d9331f2d9f84be1cb409f, 0x6d9d6d6d6548788364ba04c31cffc8, 0x002d3a], + ), + F::from_limbs( + [0xaa0aa405432df6ef7fba47f56fb3d8, 0x3e710294f33c1a7756ed868ab15142, 0x005dc7], + ), + F::from_limbs( + [0x13995efabb2e08108045b70a904c29, 0x68e227088a0c18c2811a831726b411, 0x001626], + ), + F::from_limbs( + [0xe49f3bc59065cd5a9925b13969600f, 0x8418db7c8f6c07faa3df067d96a234, 0x0062b2], + ), + F::from_limbs( + [0xd904c73a6df631a566da4dc6969ff2, 0x233a4e20eddc2b3f3429032441631e, 0x00113b], + ), + F::from_limbs( + [0x08f69bb5a34d7a4d4166e5018414f8, 0x0bd90a98a833477c49bd9f429e3221, 0x006bd5], + ), + F::from_limbs( + [0xb4ad674a5b0e84b2be9919fe7beb09, 0x9b7a1f04d514ebbd8e4a6a5f39d332, 0x000818], + ), + F::from_limbs( + [0x858e55d4b05011c65654cc6e143494, 0x5f38c3c0928bc650a7b8aabc2c90b0, 0x00637a], + ), + F::from_limbs( + [0x3815ad2b4e0bed39a9ab3291ebcb6d, 0x481a65dceabc6ce9304f5ee5ab74a3, 0x001073], + ), + F::from_limbs( + [0x56451a0f2e97031e3ac422a3bebfce, 0x375f4d14b97ee1c87bd168b412c9dc, 0x0007ce], + ), + F::from_limbs( + [0x675ee8f0cfc4fbe1c53bdc5c414033, 0x6ff3dc88c3c951715c36a0edc53b77, 0x006c1f], + ), + F::from_limbs( + [0x203872ef16ad220269e1371ad9a322, 0x6fbb53c9f81b01ac67d632538bc740, 0x00731a], + ), + F::from_limbs( + [0x9d6b9010e7aedcfd961ec7e5265cdf, 0x3797d5d3852d318d7031d74e4c3e13, 0x0000d3], + ), + F::from_limbs( + [0x46ca8e879475036676bb13db1cfdd7, 0xb14784ed9323b84e3224c2e800f6bf, 0x0044df], + ), + F::from_limbs( + [0x76d9747869e6fb998944eb24e3022a, 0xf60ba4afea247aeba5e346b9d70e94, 0x002f0d], + ), + F::from_limbs( + [0x3f2f1cdac0bdd61490fae57a7c33a7, 0xe357b3f96e6d94c1b71405e3140b1f, 0x001189], + ), + F::from_limbs( + [0x7e74e6253d9e28eb6f05198583cc5a, 0xc3fb75a40eda9e7820f403bec3fa34, 0x006263], + ), + F::from_limbs( + [0x55ed36483309549cee4813c5113cae, 0x623b190ab7ecc0e1424947746063b4, 0x006bbf], + ), + F::from_limbs( + [0x67b6ccb7cb52aa6311b7eb3aeec353, 0x45181092c55b725895bec22d77a19f, 0x00082e], + ), + F::from_limbs( + [0x1b0f77f0d55ea106e039f68e5ab3dd, 0x860235a7434baffb53bd6eab1fa801, 0x003664], + ), + F::from_limbs( + [0xa2948b0f28fd5df91fc60871a54c24, 0x2150f3f639fc833e844a9af6b85d52, 0x003d89], + ), + F::from_limbs( + [0xe78026be2d5e7457717af258d76b50, 0xdacf4627bc5be4665ae77a4160334d, 0x000eeb], + ), + F::from_limbs( + [0xd623dc41d0fd8aa88e850ca72894b1, 0xcc83e375c0ec4ed37d208f6077d205, 0x006501], + ), + F::from_limbs( + [0x67bb8c3c1db6ea8505ca50e03d6419, 0x9cbef4cf3ede358ff43badf4f95a4a, 0x004340], + ), + F::from_limbs( + [0x55e876c3e0a5147afa35ae1fc29be8, 0x0a9434ce3e69fda9e3cc5bacdeab09, 0x0030ad], + ), + F::from_limbs( + [0x5f6b1fce35a767a42cef3b59936aca, 0x330034910c6106697712ede6bda93f, 0x006c0d], + ), + F::from_limbs( + [0x5e38e331c8b4975bd310c3a66c9537, 0x7452f50c70e72cd060f51bbb1a5c14, 0x0007e0], + ), + F::from_limbs( + [0x3a056f49df88978ecfab339e06cb5b, 0x2071f73b29bb76665151b4cb89bba9, 0x000d56], + ), + F::from_limbs( + [0x839e93b61ed367713054cb61f934a6, 0x86e13262538cbcd386b654d64e49aa, 0x006697], + ), + F::from_limbs( + [0xef2c4c46e3ffffcb692d0528f44414, 0xacccb9468e3c4282dc4972a3cca5fb, 0x0005ca], + ), + F::from_limbs( + [0xce77b6b91a5bff3496d2f9d70bbbed, 0xfa867056ef0bf0b6fbbe96fe0b5f57, 0x006e22], + ), + F::from_limbs( + [0x881eea9a94f19f18bb67ac498bb306, 0xdd3a18e8bc717109bb87546c7be526, 0x001055], + ), + F::from_limbs( + [0x35851865696a5fe7449852b6744cfb, 0xca1910b4c0d6c2301c80b5355c202d, 0x006397], + ), + F::from_limbs( + [0xa7f2c626b2e4def707a2d2027625b3, 0x9b9923940fc900b3afc1442ae9abaf, 0x006fa1], + ), + F::from_limbs( + [0x15b13cd94b772008f85d2cfd89da4e, 0x0bba06096d7f32862846c576ee59a4, 0x00044c], + ), + F::from_limbs( + [0x10558d9aa509ab0e5ae9a70d5d061a, 0xc356d0de01d48ff79d5e980fce6409, 0x004e6f], + ), + F::from_limbs( + [0xad4e7565595253f1a51657f2a2f9e7, 0xe3fc58bf7b73a3423aa9719209a14a, 0x00257d], + ), + F::from_limbs( + [0x23c188df7ce263b135c7a97914d377, 0x39349820411f5fc93aca2333a367b1, 0x0031d6], + ), + F::from_limbs( + [0x99e27a2081799b4eca385586eb2c8a, 0x6e1e917d3c28d3709d3de66e349da2, 0x004217], + ), + F::from_limbs( + [0x6246eaafa91200119436ea05caedb2, 0xfe0d05b931869a29e30166d46cc7b6, 0x004b5e], + ), + F::from_limbs( + [0x5b5d18505549feee6bc914fa35124f, 0xa94623e44bc1990ff506a2cd6b3d9d, 0x00288e], + ), + F::from_limbs( + [0x9d99175038716628f47d40e82d15bd, 0x093fd8cc8c196a702485b38d5808f4, 0x00713d], + ), + F::from_limbs( + [0x200aebafc5ea98d70b82be17d2ea44, 0x9e1350d0f12ec8c9b38256147ffc5f, 0x0002b0], + ), + F::from_limbs( + [0xeb780345d8d48e768d55926c7e753e, 0x99ddf792e5371ad4958bc9e7000449, 0x005664], + ), + F::from_limbs( + [0xd22bffba2587708972aa6c93818ac3, 0x0d75320a98111865427c3fbad80109, 0x001d89], + ), + F::from_limbs( + [0x252bfa132081f9d0568f04b84b2a00, 0x3359a03f722a55433db658105171ca, 0x00726e], + ), + F::from_limbs( + [0x987808ecddda052fa970fa47b4d601, 0x73f9895e0b1dddf69a51b191869389, 0x00017f], + ), + F::from_limbs( + [0x4430904a87ce25144f897786ee3fb6, 0x09193ddd55abe3de5d7d83eacc3d55, 0x002f75], + ), + F::from_limbs( + [0x797372b5768dd9ebb076877911c04b, 0x9e39ebc0279c4f5b7a8a85b70bc7fe, 0x004478], + ), + F::from_limbs( + [0xe4fb2dcb4d9f1a4a9ebdd727b87a2e, 0x2b3e89f62de6e60238fe7599d7ec10, 0x0062ab], + ), + F::from_limbs( + [0xd8a8d534b0bce4b5614227d84785d3, 0x7c149fa74f614d379f099408001942, 0x001142], + ), + F::from_limbs( + [0xd620293ae0ef1d9da284bedb2f43d0, 0x180a5114016f798c9348185b0382e2, 0x003b69], + ), + F::from_limbs( + [0xe783d9c51d6ce1625d7b4024d0bc31, 0x8f48d8897bd8b9ad44bff146d48270, 0x003884], + ), + F::from_limbs( + [0x6e4a6abf88d933719ae8985de5540a, 0x852ff0a7b43ffbb7a8b0d7b33af34c, 0x002eae], + ), + F::from_limbs( + [0x4f5998407582cb8e651766a21aabf7, 0x222338f5c90837822f5731ee9d1207, 0x00453f], + ), + F::from_limbs( + [0xcc886ec1f3ffe0d1b7b97da44a349a, 0x156b1645203e0188cbbb016cf2efe2, 0x006934], + ), + F::from_limbs( + [0xf11b943e0a5c1e2e4846815bb5cb67, 0x91e813585d0a31b10c4d0834e51570, 0x000ab9], + ), + F::from_limbs( + [0xa3311e69461863c932b24d441a3598, 0x4a6827f60d795efd1735c252faeb40, 0x0061aa], + ), + F::from_limbs( + [0x1a72e496b8439b36cd4db1bbe5ca69, 0x5ceb01a76fced43cc0d2474edd1a13, 0x001243], + ), + F::from_limbs( + [0x82345ac27d7e4868b67310ef09a9cb, 0x92f702edb6d0f2507c5f193db6176b, 0x00110f], + ), + F::from_limbs( + [0x3b6fa83d80ddb697498cee10f65636, 0x145c26afc67740e95ba8f06421ede8, 0x0062de], + ), + F::from_limbs( + [0xdb0f7c98858057112f96e2b0f9b3dd, 0x58e0c574d4f3d63057d2ac2decc1c8, 0x001a68], + ), + F::from_limbs( + [0xe294866778dba7eed0691c4f064c24, 0x4e726428a8545d0980355d73eb438a, 0x005985], + ), + F::from_limbs( + [0x8c7c2afe21b8d4c669d39e6258ef1e, 0x02a17e71df56bfb88204fb95d7509b, 0x001696], + ), + F::from_limbs( + [0x3127d801dca32a39962c609da710e3, 0xa4b1ab2b9df1738156030e0c00b4b8, 0x005d57], + ), + F::from_limbs( + [0x4b6eef836791e9f54098590590f97a, 0x18a877b7ab1d7cfa546e4bac4497c4, 0x002a75], + ), + F::from_limbs( + [0x7235137c96ca150abf67a5fa6f0687, 0x8eaab1e5d22ab63f8399bdf5936d8f, 0x004978], + ), + F::from_limbs( + [0xda57a2483dd819a0521ef18aeb112b, 0x741f3f8e164dd0c49746d9253f440e, 0x005928], + ), + F::from_limbs( + [0xe34c60b7c083e55fade10d7514eed6, 0x3333ea0f66fa627540c1307c98c144, 0x001ac5], + ), + F::from_limbs( + [0x6d9efa01c14d946eb5dc3197a8ef92, 0x93e8f9bde758fed2674d81d6135835, 0x001439], + ), + F::from_limbs( + [0x500508fe3d0e6a914a23cd6857106f, 0x136a2fdf95ef346770ba87cbc4ad1e, 0x005fb4], + ), + F::from_limbs( + [0x6b343de16bed11f7715c2b59ea6e61, 0x4bd44428726e555938660d5f1259af, 0x003451], + ), + F::from_limbs( + [0x526fc51e926eed088ea3d3a61591a0, 0x5b7ee5750ad9dde09fa1fc42c5aba4, 0x003f9c], + ), + F::from_limbs( + [0xd7adea656c88ebe1c73198fced09ec, 0x858f3343b72247e4ce45ae3b842b6b, 0x0004ba], + ), + F::from_limbs( + [0xe5f6189a91d3131e38ce660312f615, 0x21c3f659c625eb5509c25b6653d9e7, 0x006f33], + ), + F::from_limbs( + [0x4396812497c58b3d6e0eb2267582d7, 0x19f1fc6fe5a19f799a4ac31e134aad, 0x00342f], + ), + F::from_limbs( + [0x7a0d81db669673c291f14cd98a7d2a, 0x8d612d2d97a693c03dbd4683c4baa6, 0x003fbe], + ), + F::from_limbs( + [0x330ac33976577896e7cd165be118af, 0x513188184d1e47fe7c0925272dc385, 0x006c00], + ), + F::from_limbs( + [0x8a993fc6880486691832e8a41ee752, 0x5621a1853029eb3b5bfee47aaa41ce, 0x0007ed], + ), + F::from_limbs( + [0xb422e761321f21d09645fe30b61c23, 0x9970ea51b0e6b23e7b35ed24a1e5c7, 0x00395c], + ), + F::from_limbs( + [0x09811b9ecc3cdd2f69ba00cf49e3de, 0x0de23f4bcc6180fb5cd21c7d361f8c, 0x003a91], + ), + F::from_limbs( + [0x0b160cf2d6797490f41560b245b067, 0xffc2ee6b0313ed07699a98a0e39141, 0x004a5a], + ), + F::from_limbs( + [0xb28df60d27e28a6f0bea9e4dba4f9a, 0xa7903b327a3446326e6d7100f47412, 0x002992], + ), + F::from_limbs( + [0xaba6e2d7d140d91f7cc4829e8423a4, 0xb6b450e6f2baafc992e5de759fc13a, 0x002110], + ), + F::from_limbs( + [0x11fd20282d1b25e0833b7c617bdc5d, 0xf09ed8b68a8d837045222b2c384419, 0x0052dc], + ), + F::from_limbs( + [0xa01148af98688c508dd3077d60548f, 0x935af62d62298775e60c31411c7d36, 0x0013e9], + ), + F::from_limbs( + [0x1d92ba5065f372af722cf7829fab72, 0x13f833701b1eabc3f1fbd860bb881d, 0x006004], + ), + F::from_limbs( + [0xc7276b0e0087cc7eb1318aca4306de, 0x43d57eb232ec56fb40f6e0bf66906e, 0x004451], + ), + F::from_limbs( + [0xf67c97f1fdd432814ece7435bcf923, 0x637daaeb4a5bdc3e971128e27174e4, 0x002f9c], + ), + F::from_limbs( + [0xeba7f573b3b0edb038298303139ae1, 0xe4ce8328676baf6a10b22f3eda88c1, 0x001629], + ), + F::from_limbs( + [0xd1fc0d8c4aab114fc7d67bfcec6520, 0xc284a67515dc83cfc755da62fd7c91, 0x005dc3], + ), + F::from_limbs( + [0x9bcab0951254eec1d795605c9454e1, 0x4f1ed5f3daea6d94451f7d62139849, 0x0030d1], + ), + F::from_limbs( + [0x21d9526aec07103e286a9ea36bab20, 0x583453a9a25dc5a592e88c3fc46d0a, 0x00431c], + ), + F::from_limbs( + [0x015a142b676f214fde7e2d7a559fd3, 0x6fb6de21ab8a003f81fccd9c6817e5, 0x00083d], + ), + F::from_limbs( + [0xbc49eed496ecddb02181d185aa602e, 0x379c4b7bd1be32fa560b3c056fed6e, 0x006bb0], + ), + F::from_limbs( + [0xb05750b0757d9b1b525693c4fdf276, 0xa020a192f58550d8f5fae982ba3ffb, 0x006226], + ), + F::from_limbs( + [0x0d4cb24f88de63e4ada96b3b020d8b, 0x0732880a87c2e260e20d201f1dc558, 0x0011c7], + ), + F::from_limbs( + [0x9589c6d02e429124ca49ae2654cfed, 0x93b1dca7fd1456679d9af60081e614, 0x000055], + ), + F::from_limbs( + [0x281a3c2fd0196ddb35b650d9ab3014, 0x13a14cf58033dcd23a6d13a1561f3f, 0x007398], + ), + F::from_limbs( + [0xe5f85ddf3c1b5cb31a1acd9d26ce3c, 0x0c64c68dd203f81ab9316428dff763, 0x003505], + ), + F::from_limbs( + [0xd7aba520c240a24ce5e53162d931c5, 0x9aee630fab443b1f1ed6a578f80def, 0x003ee8], + ), + F::from_limbs( + [0xaa559c25a323066982caeaed4863fd, 0x51ff3b932efd9f1ca45610bea15005, 0x000405], + ), + F::from_limbs( + [0x134e66da5b38f8967d351412b79c04, 0x5553ee0a4e4a941d33b1f8e336b54e, 0x006fe8], + ), + F::from_limbs( + [0x7c55cac91b46847d77398fb0253409, 0x54aa601bd20e14bc524e83f5dfdf0a, 0x0018aa], + ), + F::from_limbs( + [0x414e3836e3157a8288c66f4fdacbf8, 0x52a8c981ab3a1e7d85b985abf82649, 0x005b43], + ), + F::from_limbs( + [0x72ebfd53689d24efb99d766acb5fd5, 0x53b4e3288a76fc3f7b8a3bd7c507c1, 0x0018af], + ), + F::from_limbs( + [0x4ab805ac95beda104662889534a02c, 0x539e4674f2d136fa5c7dcdca12fd92, 0x005b3e], + ), + F::from_limbs( + [0xfd1bdd35d3c9d1c6cbff4af2be3916, 0x1e437926a687585966d8d7855d16d5, 0x00274d], + ), + F::from_limbs( + [0xc08825ca2a922d393400b40d41c6eb, 0x890fb076d6c0dae0712f321c7aee7d, 0x004ca0], + ), + F::from_limbs( + [0xb77311aa5733c02e36541e5c44ddc4, 0xf70a9c158f6fb5fca7743791401f4b, 0x00649c], + ), + F::from_limbs( + [0x0630f155a7283ed1c9abe0a3bb223d, 0xb0488d87edd87d3d3093d21097e608, 0x000f50], + ), + F::from_limbs( + [0xbec17bd32d28f964b877880b7bd162, 0x1c8e1645a812d561eb297d716c3f6e, 0x004732], + ), + F::from_limbs( + [0xfee2872cd133059b478876f4842e9f, 0x8ac51357d5355dd7ecde8c306bc5e4, 0x002cbb], + ), + F::from_limbs( + [0x4b9abc640df6a92392180523c30faa, 0xccb911dcb1ae544edf064df058b8a6, 0x000b8b], + ), + F::from_limbs( + [0x7209469bf06555dc6de7f9dc3cf057, 0xda9a17c0cb99deeaf901bbb17f4cad, 0x006861], + ), + F::from_limbs( + [0x43fba07004bb352fb97ddcbb685b7e, 0xfb15e4fc1addd4df8ea0dd402af30b, 0x0016aa], + ), + F::from_limbs( + [0x79a8628ff9a0c9d04682224497a483, 0xac3d44a1626a5e5a49672c61ad1248, 0x005d42], + ), + F::from_limbs( + [0x56e2bbfada26463ad32c3398b4cb0a, 0xf0957745c50282acff8e98d64e22c9, 0x003095], + ), + F::from_limbs( + [0x66c147052435b8c52cd3cb674b34f7, 0xb6bdb257b845b08cd87970cb89e28a, 0x004357], + ), + F::from_limbs( + [0x31dfefa8056f0bb4ad409f0a9afc82, 0x9150327c8a8167c605fb4aa50a4642, 0x002e81], + ), + F::from_limbs( + [0x8bc41357f8ecf34b52bf5ff565037f, 0x1602f720f2c6cb73d20cbefccdbf11, 0x00456c], + ), + F::from_limbs( + [0xe90e9f0a64c08bc2c919362a37a2f5, 0x90bdf40839f0ea8ca59fb662da9e1f, 0x003872], + ), + F::from_limbs( + [0xd49563f5999b733d36e6c8d5c85d0c, 0x16953595435748ad3268533efd6733, 0x003b7b], + ), + F::from_limbs( + [0x071011023ca1f11813365f2e4dd33f, 0x63d9876c3af1054103abfd750fa7e3, 0x0073d8], + ), + F::from_limbs( + [0xb693f1fdc1ba0de7ecc99fd1b22cc2, 0x4379a23142572df8d45c0c2cc85d70, 0x000015], + ), + F::from_limbs( + [0x694ee83ae27a47bed39a0919fadbc3, 0x4a3b47df5caa2bdad7b86e55e1c1cc, 0x0030e6], + ), + F::from_limbs( + [0x54551ac51be1b7412c65f5e605243e, 0x5d17e1be209e075f004f9b4bf64387, 0x004307], + ), + F::from_limbs( + [0x5e55696d530d23c829d3b1ec72d08f, 0xc09602866dfdcaae5a41e711829dab, 0x003c1e], + ), + F::from_limbs( + [0x5f4e9992ab4edb37d62c4d138d2f72, 0xe6bd27170f4a688b7dc622905567a8, 0x0037ce], + ), + F::from_limbs( + [0x288cf2ea23bfefa96caf3ac3f8ba22, 0xb3275950a9f9c4441b6584b2104f8d, 0x00719f], + ), + F::from_limbs( + [0x95171015da9c0f569350c43c0745df, 0xf42bd04cd34e6ef5bca284efc7b5c6, 0x00024d], + ), + F::from_limbs( + [0x8bc3b8285c996dbad4d376d1513768, 0x7256e5b76cb3175f0352ab72b4f874, 0x005ebd], + ), + F::from_limbs( + [0x31e04ad7a1c291452b2c882eaec899, 0x34fc43e610951bdad4b55e2f230cdf, 0x001530], + ), + F::from_limbs( + [0x894a39cb116c525af67e8ae5be1bb2, 0x8c6cd36c4d58e020f6ea3ff00d743a, 0x00625d], + ), + F::from_limbs( + [0x3459c934ecefaca50981741a41e44f, 0x1ae656312fef5318e11dc9b1ca9119, 0x001190], + ), + F::from_limbs( + [0x25e1a5766d24382bb250f695030649, 0xd5ae6d99265b8f18e758585cbb43c1, 0x005977], + ), + F::from_limbs( + [0x97c25d899137c6d44daf086afcf9b8, 0xd1a4bc0456eca420f0afb1451cc192, 0x001a75], + ), + F::from_limbs( + [0x108a14b7c70a6ad26c4075ed336c51, 0x0b039e7a6793034fce3be69716022a, 0x0041dd], + ), + F::from_limbs( + [0xad19ee483751942d93bf8912cc93b0, 0x9c4f8b2315b52fea09cc230ac20329, 0x003210], + ), + F::from_limbs( + [0x73d08bc76ccf5ba34807979b0215f8, 0x672456cb0e4d663c27a5ae14f1c97c, 0x006b48], + ), + F::from_limbs( + [0x49d37738918ca35cb7f86764fdea09, 0x402ed2d26efaccfdb0625b8ce63bd7, 0x0008a5], + ), + F::from_limbs( + [0xb194d22c9353d04f23e87d934f1f96, 0xd299fff47a28674a00d694f09259c6, 0x006a55], + ), + F::from_limbs( + [0x0c0f30d36b082eb0dc17816cb0e06b, 0xd4b929a9031fcbefd73174b145ab8d, 0x000997], + ), + F::from_limbs( + [0xe60667a30dabcfb52e13c743b9975c, 0x9bbee3ad9bc81a5f72c6f875ee7602, 0x001460], + ), + F::from_limbs( + [0xd79d9b5cf0b02f4ad1ec37bc4668a5, 0x0b9445efe18018da6541112be98f50, 0x005f8d], + ), + F::from_limbs( + [0xab86dadb989e51f0cbebe282c25f67, 0x985bbe50fcdf18c268a03833d98497, 0x0007a0], + ), + F::from_limbs( + [0x121d282465bdad0f34141c7d3da09a, 0x0ef76b4c80691a776f67d16dfe80bc, 0x006c4d], + ), + F::from_limbs( + [0xda7702676dea396d79c4d11332d72d, 0x2e7430a3a2a093042049534a4e9515, 0x004eda], + ), + F::from_limbs( + [0xe32d00989071c592863b2deccd28d4, 0x78def8f9daa7a035b7beb65789703d, 0x002513], + ), + F::from_limbs( + [0x3fea587c4affedc04f2ce41153449c, 0x22a7edcf8fa76606557aaa616f7f58, 0x003eaa], + ), + F::from_limbs( + [0x7db9aa83b35c113fb0d31aeeacbb65, 0x84ab3bcdeda0cd33828d5f406885fb, 0x003543], + ), + F::from_limbs( + [0xd6197d6c736880f50cd1a8e4c2db19, 0x175965785290878d175aaf9256fc91, 0x003bdf], + ), + F::from_limbs( + [0xe78a85938af37e0af32e561b3d24e8, 0x8ff9c4252ab7abacc0ad5a0f8108c1, 0x00380e], + ), + F::from_limbs( + [0xd541ba86f98b53e4a9ecb7395b88da, 0xdd06325810ac9f0db723ad6706b7b6, 0x002288], + ), + F::from_limbs( + [0xe862487904d0ab1b561347c6a47727, 0xca4cf7456c9b942c20e45c3ad14d9c, 0x005164], + ), + F::from_limbs( + [0xea6811be9c622d4a838b5d59cd79e5, 0x1f1b5c49c83409f1ca610a08f16655, 0x006d03], + ), + F::from_limbs( + [0xd33bf14161f9d1b57c74a1a632861c, 0x8837cd53b51429480da6ff98e69efd, 0x0006ea], + ), + F::from_limbs( + [0x4e1e3ba38d57fa7de6ee5fb11c8691, 0xc39cc1085e035b0395f3cb50c20339, 0x000d8b], + ), + F::from_limbs( + [0x6f85c75c7104048219119f4ee37970, 0xe3b668951f44d83642143e5116021a, 0x006661], + ), + F::from_limbs( + [0x11bb5ed43415b6eaa3a247fac9045c, 0x8ce61b57c643fab4ad0b6127b0bdf5, 0x006200], + ), + F::from_limbs( + [0xabe8a42bca4648155c5db70536fba5, 0x1a6d0e45b70438852afca87a27475e, 0x0011ed], + ), + F::from_limbs( + [0x66edf951391e017027b8876a00b1dd, 0x16bac381fe479a73369f5b7b9fbd66, 0x00269e], + ), + F::from_limbs( + [0x56b609aec53dfd8fd8477795ff4e24, 0x9098661b7f0098c6a168ae263847ed, 0x004d4f], + ), + F::from_limbs( + [0x8d3bda72fe32ac556446a1e4c8b12c, 0xdecdc861cdd2ba3c1894e10b47bb26, 0x0070a1], + ), + F::from_limbs( + [0x3068288d002952aa9bb95d1b374ed5, 0xc885613baf7578fdbf732896904a2d, 0x00034b], + ), + F::from_limbs( + [0xc2aede9421fa9e20d9bfae30c1dd53, 0x261192cf65c5eb82149a7ac5fda4ff, 0x0041af], + ), + F::from_limbs( + [0xfaf5246bdc6160df264050cf3e22ae, 0x814196ce178247b7c36d8edbda6053, 0x00323e], + ), + F::from_limbs( + [0x39f3a6db6531cdca1cb78883b5501f, 0x26227262918465175978507ae3f87a, 0x00650f], + ), + F::from_limbs( + [0x83b05c24992a3135e348767c4aafe2, 0x8130b73aebc3ce227e8fb926f40cd9, 0x000ede], + ), + F::from_limbs( + [0xc37dd45f1728e7f0d65f4eb1657ebb, 0xcbf627e693d811320caaca8a58a05a, 0x005d7a], + ), + F::from_limbs( + [0xfa262ea0e733170f29a0b04e9a8146, 0xdb5d01b6e9702207cb5d3f177f64f8, 0x001672], + ), + F::from_limbs( + [0xf0213a7d775a248c5cb6eb5617be18, 0x3d8529f4a57d3684ca197cb9b2697e, 0x0032a6], + ), + F::from_limbs( + [0xcd82c8828701da73a34913a9e841e9, 0x69cdffa8d7cafcb50dee8ce8259bd4, 0x004147], + ), + F::from_limbs( + [0x28b34e361f477916846a9d93c59012, 0x68771297c5f5cab5e5b78e6a8640e0, 0x000bb8], + ), + F::from_limbs( + [0x94f0b4c9df1485e97b95616c3a6fef, 0x3edc1705b7526883f2507b3751c473, 0x006835], + ), + F::from_limbs( + [0x2fcc7b4c5132e44eade4f1a131233d, 0x24993436058950f7e263c54ee6a9b5, 0x0053e3], + ), + F::from_limbs( + [0x8dd787b3ad291ab1521b0d5ecedcc4, 0x82b9f56777bee241f5a44452f15b9e, 0x00200a], + ), + F::from_limbs( + [0xe3b4dbe22b4392311d3304db643695, 0x6c675105ced67e07f5abd08cc0fb81, 0x00118c], + ), + F::from_limbs( + [0xd9ef271dd3186ccee2ccfa249bc96c, 0x3aebd897ae71b531e25c39151709d1, 0x006261], + ), + F::from_limbs( + [0xf11efe066d096281a3dfb44cd7d165, 0x9692bcbb22f340a207f615ad60750f, 0x003157], + ), + F::from_limbs( + [0xcc8504f991529c7e5c204ab3282e9c, 0x10c06ce25a54f297d011f3f4779043, 0x004296], + ), + F::from_limbs( + [0xdcb69c52a4e2ed82c4a6de94c8bf96, 0xadb5b738776bd7f6723b1e2ff13929, 0x0005c6], + ), + F::from_limbs( + [0xe0ed66ad5979117d3b59206b37406b, 0xf99d726505dc5b4365cceb71e6cc29, 0x006e26], + ), + F::from_limbs( + [0xbdddcc8bf7cd9ed4857eba4432963c, 0xae7241f1a002af8f5d5d7f44857a7f, 0x001987], + ), + F::from_limbs( + [0xffc63674068e602b7a8144bbcd69c5, 0xf8e0e7abdd4583aa7aaa8a5d528ad3, 0x005a65], + ), + F::from_limbs( + [0x403fec5dd82b2b02f99d83bd109f22, 0xad7b8eb369ebc5844282de960e20ea, 0x004e19], + ), + F::from_limbs( + [0x7d6416a22630d3fd06627b42ef60df, 0xf9d79aea135c6db595852b0bc9e469, 0x0025d3], + ), + F::from_limbs( + [0x667871334f5a17c81450fbaf4bac63, 0x8c39463268f3eff98a4b7b39d85563, 0x0054d1], + ), + F::from_limbs( + [0x572b91ccaf01e737ebaf0350b4539e, 0x1b19e36b145443404dbc8e67ffaff0, 0x001f1c], + ), + F::from_limbs( + [0xe5f786d3627dca98b3217a2417eb91, 0x2b1650a62e0d01d8396db702f1cebe, 0x007322], + ), + F::from_limbs( + [0xd7ac7c2c9bde34674cde84dbe81470, 0x7c3cd8f74f3b31619e9a529ee63694, 0x0000cb], + ), + F::from_limbs( + [0x14442a81d5dacf112f0e1c1ea12f87, 0x8dc193c234980989fd6dc601cf00dc, 0x0039df], + ), + F::from_limbs( + [0xa95fd87e28812feed0f1e2e15ed07a, 0x199195db48b029afda9a43a0090477, 0x003a0e], + ), + F::from_limbs( + [0x921cee975fa0e584ce4ae1e892a3c5, 0xc62efbed2b5cecef70db4531b7f32d, 0x000c2f], + ), + F::from_limbs( + [0x2b8714689ebb197b31b51d176d5c3c, 0xe1242db051eb464a672cc470201226, 0x0067bd], + ), + F::from_limbs( + [0x80e62a591e130ddff868f0a741ce9b, 0x73617687ce3861a1cbdaf40353ac4d, 0x005d2b], + ), + F::from_limbs( + [0x3cbdd8a6e048f12007970e58be3166, 0x33f1b315af0fd1980c2d159e845906, 0x0016c2], + ), + F::from_limbs( + [0xbebbfef511cfe3de78900fcc779e4b, 0x5e5d2d844e5ab78ecd7e8bbf2f114f, 0x004cc8], + ), + F::from_limbs( + [0xfee8040aec8c1b21876fef338861b6, 0x48f5fc192eed7bab0a897de2a8f403, 0x002725], + ), + F::from_limbs( + [0xfb644fa915d933a7364690463b8c5a, 0x3da87aae9f28ef0fa6840d0fb03214, 0x0035f4], + ), + F::from_limbs( + [0xc23fb356e882cb58c9b96eb9c473a7, 0x69aaaeeede1f442a3183fc9227d33e, 0x003df9], + ), + F::from_limbs( + [0x291078c0516e965d1f8871ac8e55dd, 0xd8a29031fa3b19ae5ba085ac0ef4a6, 0x005a92], + ), + F::from_limbs( + [0x94938a3faced68a2e0778d5371aa24, 0xceb0996b830d198b7c6783f5c910ad, 0x00195a], + ), + F::from_limbs( + [0xbe569a3a31f165c75c815f425cadf6, 0x91d2ea1bb63a6725ce5bff1ee40056, 0x003c67], + ), + F::from_limbs( + [0xff4d68c5cc6a9938a37e9fbda3520b, 0x15803f81c70dcc1409ac0a82f404fc, 0x003786], + ), + F::from_limbs( + [0xd4e8f014ba143af233e178fcd9035e, 0x187a05e3c16ef03e7c1f872a7e3d16, 0x007309], + ), + F::from_limbs( + [0xe8bb12eb4447c40dcc1e860326fca3, 0x8ed923b9bbd942fb5be8827759c83c, 0x0000e4], + ), + F::from_limbs( + [0x72c83deac35889a527d24cb6033b6d, 0x8dae310a1c6ed27159d1f41e8ecf38, 0x002a77], + ), + F::from_limbs( + [0x4adbc5153b03755ad82db249fcc494, 0x19a4f89360d960c87e36158349361b, 0x004976], + ), + F::from_limbs( + [0xed383bd6c47164f0f4a28beafd4b05, 0xfe95f6cd1c5ae51f8b3c2f31b064ca, 0x004b19], + ), + F::from_limbs( + [0xd06bc72939ea9a0f0b5d731502b4fc, 0xa8bd32d060ed4e1a4ccbda7027a088, 0x0028d3], + ), + F::from_limbs( + [0xc2af4e8c17ec9b12d6d2603dee0fe2, 0xaffd6163c6457b489fed890fd8e5be, 0x0055b0], + ), + F::from_limbs( + [0xfaf4b473e66f63ed292d9ec211f01f, 0xf755c839b702b7f1381a8091ff1f94, 0x001e3c], + ), + F::from_limbs( + [0x9902e6b674cd83c44a9dee0b94bba2, 0xe168decf4b8ed4289398be82882966, 0x001896], + ), + F::from_limbs( + [0x24a11c49898e7b3bb56210f46b445f, 0xc5ea4ace31b95f11446f4b1f4fdbed, 0x005b56], + ), + F::from_limbs( + [0x4e45ae2b0e3452a4529d1d508d95fc, 0x7722bad2894e16b2203d6eb58db41f, 0x0033f1], + ), + F::from_limbs( + [0x6f5e54d4f027ac5bad62e1af726a05, 0x30306ecaf3fa1c87b7ca9aec4a5134, 0x003ffc], + ), + F::from_limbs( + [0x37da9fd247b74cb41071ef7f2aea85, 0x217231241ba8cb044aeeeef2e88ea4, 0x003467], + ), + F::from_limbs( + [0x85c9632db6a4b24bef8e0f80d5157c, 0x85e0f879619f68358d191aaeef76af, 0x003f86], + ), + F::from_limbs( + [0x3f627cef182bf8f6139aa4696affcb, 0x10ac5d53a149416469b17618f6a047, 0x005364], + ), + F::from_limbs( + [0x7e418610e6300609ec655a96950036, 0x96a6cc49dbfef1d56e569388e1650c, 0x002089], + ), + F::from_limbs( + [0x7e981b72650bfeff3159bca6f143eb, 0xfc526f7aaa2242fa324ea12a7d5c51, 0x0011d4], + ), + F::from_limbs( + [0x3f0be78d99500000cea642590ebc16, 0xab00ba22d325f03fa5b968775aa902, 0x006218], + ), + F::from_limbs( + [0xd355e9996feaa77dfbd1f922488ad7, 0xb0058ff22890469a4cefef1ddd319e, 0x005848], + ), + F::from_limbs( + [0xea4e19668e715782042e05ddb7752a, 0xf74d99ab54b7ec9f8b181a83fad3b4, 0x001ba4], + ), + F::from_limbs( + [0x71709889e0167d409fadc1390c215b, 0x74aa326c7001fa831c8ac096dad4f9, 0x00693f], + ), + F::from_limbs( + [0x4c336a761e4581bf60523dc6f3dea6, 0x32a8f7310d4638b6bb7d490afd305a, 0x000aae], + ), + F::from_limbs( + [0x7f3c55e68a9ebe67f8591eaace97e5, 0x36a927134e53d5de7528fa90299f94, 0x000767], + ), + F::from_limbs( + [0x3e67ad1973bd409807a6e05531681c, 0x70aa028a2ef45d5b62df0f11ae65bf, 0x006c86], + ), + F::from_limbs( + [0xd68c4e218d617df86a5774c5ddad45, 0x3791051adf2dcf04d9abd55a75fca8, 0x00056b], + ), + F::from_limbs( + [0xe717b4de70fa810795a88a3a2252bc, 0x6fc224829e1a6434fe5c34476208aa, 0x006e82], + ), + F::from_limbs( + [0x7b2013f325133a921b388995bea7fd, 0x97cf9f1de049dea2d37f97aa42f19b, 0x001305], + ), + F::from_limbs( + [0x4283ef0cd948c46de4c7756a415804, 0x0f838a7f9cfe5497048871f79513b8, 0x0060e8], + ), + F::from_limbs( + [0x8ab8dd1277fe748ac4ce96c05922c8, 0x10e56eefef4251ebd9d921306ed45a, 0x005d42], + ), + F::from_limbs( + [0x32eb25ed865d8a753b31683fa6dd39, 0x966dbaad8e05e14dfe2ee8716930f9, 0x0016ab], + ), + F::from_limbs( + [0x0a4f7342f02550b7dd369ee24a4b2c, 0xfee53953c53b0cfcf5e4fb20e3fa23, 0x0006c4], + ), + F::from_limbs( + [0xb3548fbd0e36ae4822c9601db5b4d5, 0xa86df049b80d263ce2230e80f40b30, 0x006d28], + ), + F::from_limbs( + [0x7d50a297e01b9f76128ae4a4ec03cc, 0x48ee592217168094228f05f9a5f7b1, 0x0003cd], + ), + F::from_limbs( + [0x405360681e405f89ed751a5b13fc35, 0x5e64d07b6631b2a5b57903a8320da2, 0x007020], + ), + F::from_limbs( + [0x15ef3ee3ffc51b88fd3eb853540a9b, 0x0703b0d3a24c6f57d8c0bf34a21c9a, 0x001d2d], + ), + F::from_limbs( + [0xa7b4c41bfe96e37702c146acabf566, 0xa04f78c9dafbc3e1ff474a6d35e8b9, 0x0056c0], + ), + F::from_limbs( + [0xa0e87e3224359144dd54d2b5c75587, 0x4ac46b49ad06003051d8ebe9cfeefb, 0x003126], + ), + F::from_limbs( + [0x1cbb84cdda266dbb22ab2c4a38aa7a, 0x5c8ebe53d0423309862f1db8081658, 0x0042c7], + ), + F::from_limbs( + [0x8b986d29b33eb5f0def2eff45786de, 0xc59e71fd63b2bf1d7ff3348ecd758b, 0x0040be], + ), + F::from_limbs( + [0x320b95d64b1d490f210d0f0ba87923, 0xe1b4b7a01995741c5814d5130a8fc8, 0x00332e], + ), + F::from_limbs( + [0x99b19c7bca6174d7162d9719890f64, 0x9b45fa34b0b61f0b2d8c094d642020, 0x003b30], + ), + F::from_limbs( + [0x23f2668433fa8a28e9d267e676f09d, 0x0c0d2f68cc92142eaa7c005473e533, 0x0038bd], + ), + F::from_limbs( + [0xd107902335e8b13bda35e579e11aaf, 0x059e6e34b922e5757ecbd6781b5e62, 0x002ec2], + ), + F::from_limbs( + [0xec9c72dcc8734dc425ca19861ee552, 0xa1b4bb68c4254dc4593c3329bca6f0, 0x00452b], + ), + F::from_limbs( + [0x9e3c15394e6e1b208b52545e33565a, 0x494ae6fc135c86b8d15bf3d84bec66, 0x00191b], + ), + F::from_limbs( + [0x1f67edc6afede3df74adaaa1cca9a7, 0x5e0842a169ebac8106ac15c98c18ed, 0x005ad2], + ), + F::from_limbs( + [0x7d4b44384d28349ae50103d6566c65, 0x9d381a6230d31aa9d7cb35b628a6c7, 0x0057ad], + ), + F::from_limbs( + [0x4058bec7b133ca651afefb29a9939c, 0x0a1b0f3b4c751890003cd3ebaf5e8c, 0x001c40], + ), + F::from_limbs( + [0x86f87457e8d83a3e453abe1c7e3711, 0x8ca8ab8a88de4e6c5a7b26d84725a4, 0x005162], + ), + F::from_limbs( + [0x36ab8ea81583c4c1bac540e381c8f0, 0x1aaa7e12f469e4cd7d8ce2c990dfaf, 0x00228b], + ), + F::from_limbs( + [0xf1a3f8ee19dbd5ae0de328241583d7, 0xf540ec8a19daeeda67854d1fd03c74, 0x00330b], + ), + F::from_limbs( + [0xcc000a11e4802951f21cd6dbea7c2a, 0xb2123d13636d445f7082bc8207c8de, 0x0040e1], + ), + F::from_limbs( + [0x7f4a71e8149069d29f8a66433e17c6, 0x9b28721e8abbc3e8f9d6b214dd6309, 0x001c12], + ), + F::from_limbs( + [0x3e599117e9cb952d607598bcc1e83b, 0x0c2ab77ef28c6f50de31578cfaa24a, 0x0057db], + ), + F::from_limbs( + [0xa60a12a7fafe3326945a8982257a8c, 0x56b1edc476b1082be230899d88c0b8, 0x002d3f], + ), + F::from_limbs( + [0x1799f058035dcbd96ba5757dda8575, 0x50a13bd906972b0df5d780044f449b, 0x0046ae], + ), + F::from_limbs( + [0xeb5269e06340da74ad6f23b8331b7d, 0x812e1d221ea3c3d27fdf06de69822a, 0x00081d], + ), + F::from_limbs( + [0xd251991f9b1b248b5290db47cce484, 0x26250c7b5ea46f67582902c36e8328, 0x006bd0], + ), + F::from_limbs( + [0x5d72906ae5974656402311a3c88c0d, 0x20bdebb8c529b77a75fbc3e63a6bd7, 0x0060c5], + ), + F::from_limbs( + [0x6031729518c4b8a9bfdced5c3773f4, 0x86953de4b81e7bbf620c45bb9d997c, 0x001328], + ), + F::from_limbs( + [0x8ae0d36eaa8ceeb0ec520770f54dd3, 0x051ba804583083d632fb1caac7277b, 0x005e0e], + ), + F::from_limbs( + [0x32c32f9153cf104f13adf78f0ab22e, 0xa23781992517af63a50cecf710ddd8, 0x0015df], + ), + F::from_limbs( + [0x70ca1a6b232d5316951ae5ab0e6a4c, 0x0e9a156bfcdfe7a10eedb8e7072c92, 0x000599], + ), + F::from_limbs( + [0x4cd9e894db2eabe96ae51954f195b5, 0x98b9143180684b98c91a50bad0d8c1, 0x006e54], + ), + F::from_limbs( + [0x0f8c6a786fe9e866941a14b23a4155, 0x871fec91df9e50d66999b7f71ecb85, 0x00260d], + ), + F::from_limbs( + [0xae1798878e7216996be5ea4dc5beac, 0x20333d0b9da9e2636e6e51aab939ce, 0x004de0], + ), + F::from_limbs( + [0x728f805725223905648a06d5bf4779, 0x9f15f40745862c463c0f6c15f45234, 0x000eac], + ), + F::from_limbs( + [0x4b1482a8d939c5fa9b75f82a40b888, 0x083d359637c206f39bf89d8be3b31f, 0x006541], + ), + F::from_limbs( + [0xb10938a76e2590378e47a78cb232a2, 0x99c93e92dfca58c7a298d7828572ca, 0x000550], + ), + F::from_limbs( + [0x0c9aca5890366ec871b857734dcd5f, 0x0d89eb0a9d7dda72356f321f529289, 0x006e9d], + ), + F::from_limbs( + [0xe83b231555ac35ead6a82181c19293, 0xa2397a7ac4814435fb53a4ff017529, 0x001f23], + ), + F::from_limbs( + [0xd568dfeaa8afc9152957dd7e3e6d6e, 0x0519af22b8c6ef03dcb464a2d69029, 0x0054ca], + ), + F::from_limbs( + [0x6f49efba092206bec4af45a3dd836a, 0x8a349d98ba5804e0a5947115d93a2f, 0x005569], + ), + F::from_limbs( + [0x4e5a1345f539f8413b50b95c227c97, 0x1d1e8c04c2f02e593273988bfecb24, 0x001e84], + ), + F::from_limbs( + [0x1b702ad51911966e554ba438256c09, 0x4d7122d117efeb680de72cff169011, 0x006daa], + ), + F::from_limbs( + [0xa233d82ae54a6891aab45ac7da93f8, 0x59e206cc655847d1ca20dca2c17542, 0x000643], + ), + F::from_limbs( + [0x3bc1e33db1fabde67e9726e2110a9f, 0x5bf26247526e599fab5a4a1e19cff4, 0x0047a4], + ), + F::from_limbs( + [0x81e21fc24c6141198168d81deef562, 0x4b60c7562ad9d99a2cadbf83be355f, 0x002c49], + ), + F::from_limbs( + [0x92dc9c9ab9a192a42416165d386af9, 0x2e6ad1aa805d875c182d7bfe77cc17, 0x0035b9], + ), + F::from_limbs( + [0x2ac7666544ba6c5bdbe9e8a2c79508, 0x78e857f2fceaabddbfda8da360393c, 0x003e34], + ), + F::from_limbs( + [0xdbf9d401389e118356c2dfd4542a7e, 0x1beb3356e7eac8b5c49358e42cc261, 0x005d40], + ), + F::from_limbs( + [0xe1aa2efec5bded7ca93d1f2babd583, 0x8b67f646955d6a841374b0bdab42f1, 0x0016ad], + ), + F::from_limbs( + [0xde093f86dc82aee638c24bfb618f3f, 0xcc695696e15f33b6703722957141dc, 0x004b57], + ), + F::from_limbs( + [0xdf9ac37921d95019c73db3049e70c2, 0xdae9d3069be8ff8367d0e70c66c376, 0x002895], + ), + F::from_limbs( + [0x43cf43b8a4fea9a6910d41d80997d6, 0xb89955f3ac075693ab26c50bb8772e, 0x001b0a], + ), + F::from_limbs( + [0x79d4bf47595d55596ef2bd27f6682b, 0xeeb9d3a9d140dca62ce144961f8e25, 0x0058e2], + ), + F::from_limbs( + [0x6df74788bfddf547809a0593c52c29, 0x6e3537a8223b30a23b5534d53e7afc, 0x004be8], + ), + F::from_limbs( + [0x4facbb773e7e09b87f65f96c3ad3d8, 0x391df1f55b0d02979cb2d4cc998a57, 0x002805], + ), + F::from_limbs( + [0xecbebc0bb2bede8728abb983c104a2, 0xd259c48b91eaa8064226f6054683bc, 0x003083], + ), + F::from_limbs( + [0xd0e546f44b9d2078d754457c3efb5f, 0xd4f96511eb5d8b3395e1139c918196, 0x004369], + ), + F::from_limbs( + [0xd37ff2a87babb380c6c92288db9ca6, 0x72a1f9cd89124eb06d927e27a3fd9e, 0x007289], + ), + F::from_limbs( + [0xea24105782b04b7f3936dc7724635b, 0x34b12fcff435e4896a758b7a3407b4, 0x000164], + ), + F::from_limbs( + [0x3a7585c54ec264e3ee86325ff52f02, 0x34796ea0382b31d08ef46443e548e5, 0x000b97], + ), + F::from_limbs( + [0x832e7d3aaf999a1c1179cca00ad0ff, 0x72d9bafd451d01694913a55df2bc6e, 0x006856], + ), + F::from_limbs( + [0x83611805de11188d9fc12803667dbf, 0xd8489d9b1d2b7d981b5cc7400d058a, 0x00668c], + ), + F::from_limbs( + [0x3a42eafa204ae672603ed6fc998242, 0xcf0a8c02601cb5a1bcab4261caffc9, 0x000d60], + ), + F::from_limbs( + [0x6ace9eee636cfea106cdd2093221c4, 0x25a27aaf423e560d8375b9f57ddb5f, 0x004164], + ), + F::from_limbs( + [0x52d564119aef005ef9322cf6cdde3d, 0x81b0aeee3b09dd2c54924fac5a29f4, 0x003289], + ), + F::from_limbs( + [0x804da7679b1f2ab1d8a86c599c1125, 0x37ea83b297acb4d4cac9a82e460d7a, 0x000562], + ), + F::from_limbs( + [0x3d565b98633cd44e275792a663eedc, 0x6f68a5eae59b7e650d3e617391f7d9, 0x006e8b], + ), + F::from_limbs( + [0xac81ba0e9f27289accbc94269dcfed, 0xca7fe2354d973f2d66f302fd0a4109, 0x006288], + ), + F::from_limbs( + [0x112248f15f34d66533436ad9623014, 0xdcd347682fb0f40c711506a4cdc44a, 0x001164], + ), + F::from_limbs( + [0xaa925bcaf595931a976cec0c95430e, 0xf19446ee388087b66e87e6421ad7f4, 0x006e17], + ), + F::from_limbs( + [0x1311a73508c66be5689312f36abcf3, 0xb5bee2af44c7ab836980235fbd2d5f, 0x0005d5], + ), + F::from_limbs( + [0x7eebd047cbc2e51c5ec124a724f5d0, 0xf253594888ee9a00b7f8aae9ee446d, 0x0029f1], + ), + F::from_limbs( + [0x3eb832b8329919e3a13eda58db0a31, 0xb4ffd054f4599939200f5eb7e9c0e6, 0x0049fb], + ), + F::from_limbs( + [0xc3721ea6c79959350ce6a6828af90a, 0x65e4d3674be8111f4ebbffa0ac1554, 0x003f1a], + ), + F::from_limbs( + [0xfa31e45936c2a5caf319587d7506f7, 0x416e56363160221a894c0a012beffe, 0x0034d3], + ), + F::from_limbs( + [0xc955e365e603ea58bb2d6aa83247db, 0xdb61407a6cf482dcb6fbe1f248d57f, 0x006323], + ), + F::from_limbs( + [0xf44e1f9a185814a744d29457cdb826, 0xcbf1e9231053b05d210c27af8f2fd3, 0x0010c9], + ), + F::from_limbs( + [0x78a3d2d41320a58a91e7a363e4bf29, 0xf65a022ccf82e082eced9e4db37053, 0x004043], + ), + F::from_limbs( + [0x4500302beb3b59756e185b9c1b40d8, 0xb0f92770adc552b6eb1a6b54249500, 0x0033a9], + ), + F::from_limbs( + [0x51110b4d802457efc0e95192098448, 0x204ab0d2a8638e24584004aba6faa2, 0x001d4a], + ), + F::from_limbs( + [0x6c92f7b27e37a7103f16ad6df67bb9, 0x870878cad4e4a5157fc804f6310ab1, 0x0056a3], + ), + F::from_limbs( + [0xa76cbd7137e6f47e6e58015540096f, 0x17e3d47a499280db319a950d9b3877, 0x0024f7], + ), + F::from_limbs( + [0x1637458ec6750a8191a7fdaabff692, 0x8f6f552333b5b25ea66d74943cccdc, 0x004ef6], + ), + F::from_limbs( + [0x46cc3132ae68b8a5f2cc3b6ce6684c, 0xaeefe26d6d67ed111551f5aecd91b5, 0x006694], + ), + F::from_limbs( + [0x76d7d1cd4ff3465a0d33c3931997b5, 0xf86347300fe04628c2b613f30a739e, 0x000d58], + ), + F::from_limbs( + [0x356ebb9037c6036cf0c644e1105fba, 0xe6ce8ff225aa86da51c04c9130a03f, 0x005271], + ), + F::from_limbs( + [0x8835476fc695fb930f39ba1eefa047, 0xc08499ab579dac5f8647bd10a76514, 0x00217b], + ), + F::from_limbs( + [0x71972107f75956b53875e0be421d2a, 0xbd4090207fe16c1f9ade683c154e89, 0x0071bc], + ), + F::from_limbs( + [0x4c0ce1f80702a84ac78a1e41bde2d7, 0xea12997cfd66c71a3d29a165c2b6ca, 0x000230], + ), + F::from_limbs( + [0x62cc3eb2ba6bc6f7b5e5dc5beed42f, 0x4302c5125319ab5b6b747430015857, 0x0067d1], + ), + F::from_limbs( + [0x5ad7c44d43f038084a1a22a4112bd2, 0x6450648b2a2e87de6c939571d6acfc, 0x000c1c], + ), + F::from_limbs( + [0x4ded5e86515588409b42a1c622af82, 0xc18924c9ff6195534d6b669470a21f, 0x006db9], + ), + F::from_limbs( + [0x6fb6a479ad0676bf64bd5d39dd507f, 0xe5ca04d37de69de68a9ca30d676334, 0x000633], + ), + F::from_limbs( + [0xf940aaef199513b2942e1e96335b6e, 0x9fb0976b417260510ce0bd3d0820c3, 0x004908], + ), + F::from_limbs( + [0xc4635810e4c6eb4d6bd1e069cca493, 0x07a292323bd5d2e8cb274c64cfe48f, 0x002ae5], + ), + F::from_limbs( + [0x99f96384bc107506288c5822ce5a85, 0x472aaaaaf10a84bbb7015543f86105, 0x0031a4], + ), + F::from_limbs( + [0x23aa9f7b424b89f9d773a6dd31a57c, 0x60287ef28c3dae7e2106b45ddfa44e, 0x004249], + ), + F::from_limbs( + [0x380fc7606ef68763087e889370beba, 0xa48e895f4d79a04b607cacfddcb934, 0x0058be], + ), + F::from_limbs( + [0x85943b9f8f65779cf781766c8f4147, 0x02c4a03e2fce92ee778b5ca3fb4c1f, 0x001b2f], + ), + F::from_limbs( + [0x0d0e018ef12219eb96289ab55ac431, 0x583bb90996d418302d24d1f9482095, 0x0033d6], + ), + F::from_limbs( + [0xb09601710d39e51469d7644aa53bd0, 0x4f177093e6741b09aae337a88fe4be, 0x004017], + ), + F::from_limbs( + [0x720ee1ef0d377d0671c39b05d1219c, 0x0e3c672a9e17fe930bc21be24ae73d, 0x002bb2], + ), + F::from_limbs( + [0x4b952110f12481f98e3c63fa2ede65, 0x9916c272df3034a6cc45edbf8d1e16, 0x00483b], + ), + F::from_limbs( + [0x8f937d589f241863fb1675b6ea931b, 0x1c2179e9ba67fb96c016aa69f8fe7b, 0x0010f3], + ), + F::from_limbs( + [0x2e1085a75f37e69c04e98949156ce6, 0x8b31afb3c2e037a317f15f37df06d8, 0x0062fa], + ), + F::from_limbs( + [0x56e00d5f1e00882902252fc85dc59c, 0x3e901ee55f3ead151e1a9ffea6d1e0, 0x0020d7], + ), + F::from_limbs( + [0x66c3f5a0e05b76d6fddacf37a23a65, 0x68c30ab81e098624b9ed69a3313373, 0x005316], + ), + F::from_limbs( + [0xbc23b54455eb4351ac2ebbbbf58f0f, 0x9056fb6c09d687252eb8459705938c, 0x001765], + ), + F::from_limbs( + [0x01804dbba870bbae53d143440a70f2, 0x16fc2e317371ac14a94fc40ad271c7, 0x005c88], + ), + F::from_limbs( + [0x93c6b06754a128dff1056cfd5ec865, 0xf74df5e016d7a53f6b08885f52e784, 0x005e2a], + ), + F::from_limbs( + [0x29dd5298a9bad6200efa9202a1379c, 0xb00533bd66708dfa6cff8142851dcf, 0x0015c2], + ), + F::from_limbs( + [0x41d2f6c7f8a9395717a8e61423c05b, 0x3d0053a77263e322f86bf6d0dc3924, 0x0048ae], + ), + F::from_limbs( + [0x7bd10c3805b2c5a8e85718ebdc3fa6, 0x6a52d5f60ae45016df9c12d0fbcc2f, 0x002b3f], + ), + F::from_limbs( + [0x709eafc06c4ff19ad80a4b7b416ac5, 0x298eec226cfaea1765007c50fae425, 0x0031fc], + ), + F::from_limbs( + [0x4d05533f920c0d6527f5b384be953c, 0x7dc43d7b104d492273078d50dd212e, 0x0041f1], + ), + F::from_limbs( + [0x69099c2b782691822141c76792a203, 0x0bdedfe0d19fff137b4c5c01b22f1a, 0x003789], + ), + F::from_limbs( + [0x549a66d486356d7ddebe37986d5dfe, 0x9b7449bcaba834265cbbada025d639, 0x003c64], + ), + F::from_limbs( + [0x09b329fa1577ff554c99286208dfee, 0x6776f189910ff3a606914c38247b25, 0x005a7f], + ), + F::from_limbs( + [0xb3f0d905e8e3ffaab366d69df72013, 0x3fdc3813ec383f93d176bd69b38a2e, 0x00196e], + ), + F::from_limbs( + [0x24accfa767b8cf3d2cac8d90592e9c, 0xb0bff695f8bb1988ea48d61b0adbd7, 0x002e0c], + ), + F::from_limbs( + [0x98f7335896a32fc2d353716fa6d165, 0xf6933307848d19b0edbf3386cd297c, 0x0045e0], + ), + F::from_limbs( + [0x1c7ac41146f49ac18f962c2f958a43, 0x307fb2724e316afbbe1c20bf199667, 0x0065d9], + ), + F::from_limbs( + [0xa1293eeeb767643e7069d2d06a75be, 0x76d3772b2f16c83e19ebe8e2be6eec, 0x000e14], + ), + F::from_limbs( + [0xcd5e72e6bcb06297c78f3489f706ea, 0x1ed60f08ce06aadbb17ef22557b500, 0x005a6f], + ), + F::from_limbs( + [0xf045901941ab9c683870ca7608f917, 0x887d1a94af41885e2689177c805052, 0x00197e], + ), + F::from_limbs( + [0xe6b7a3bfecde634244d4514c7912ad, 0x0cb7e84409d6c970aa662616e8b847, 0x0037f5], + ), + F::from_limbs( + [0xd6ec5f40117d9bbdbb2badb386ed54, 0x9a9b4159737169c92da1e38aef4d0b, 0x003bf8], + ), + F::from_limbs( + [0x209b1c1b82cb497c47ca08d92d3855, 0x585dfc3bb27bf4ec94f6914ed44415, 0x000f94], + ), + F::from_limbs( + [0x9d08e6e47b90b583b835f626d2c7ac, 0x4ef52d61cacc3e4d4311785303c13e, 0x006459], + ), + F::from_limbs( + [0x0c3761f18348336e42f959081acdf7, 0xc7e6d1ada8b1413bf7a2546e4b2a2c, 0x0025f0], + ), + F::from_limbs( + [0xb16ca10e7b13cb91bd06a5f7e5320a, 0xdf6c57efd496f1fde065b5338cdb27, 0x004dfc], + ), + F::from_limbs( + [0xbd040be90c1f098bdfa8f11646bfd6, 0x43d46fcb1be37348df13ad0c2a5b55, 0x0010e9], + ), + F::from_limbs( + [0x009ff716f23cf57420570de9b9402b, 0x637eb9d26164bff0f8f45c95ada9fe, 0x006304], + ), + F::from_limbs( + [0x1d9aa77779df363215065a4e6c2abd, 0xc6a057415d04ff53233bd8fbdd0586, 0x004fa4], + ), + F::from_limbs( + [0xa0095b88847cc8cdeaf9a4b193d544, 0xe0b2d25c204333e6b4cc30a5faffcd, 0x002448], + ), + F::from_limbs( + [0x9cb31f0b9200b0648ac18a60c7b419, 0xedbddad8c9ed9ccc28ba8ce12efb12, 0x001deb], + ), + F::from_limbs( + [0x20f0e3f46c5b4e9b753e749f384be8, 0xb9954ec4b35a966daf4d7cc0a90a41, 0x005601], + ), + F::from_limbs( + [0x2e713efdc506192c3fd2500d74ed6a, 0xf5c94a9135d4738d8393fd1f618fcf, 0x005a3e], + ), + F::from_limbs( + [0x8f32c4023955e5d3c02daef28b1297, 0xb189df0c4773bfac54740c82767584, 0x0019ae], + ), + F::from_limbs( + [0x019f2521aea11163fdb1347e6d3c9b, 0xa3738160674ee6d82b9f88354b2359, 0x0015f0], + ), + F::from_limbs( + [0xbc04ddde4fbaed9c024eca8192c366, 0x03dfa83d15f94c61ac68816c8ce1fa, 0x005dfd], + ), + F::from_limbs( + [0x92fda99d579539f60c1d8e32539eed, 0x186ff76aea8fd621c79e7166b7c3ef, 0x004354], + ), + F::from_limbs( + [0x2aa65962a6c6c509f3e270cdac6114, 0x8ee3323292b85d181069983b204164, 0x003099], + ), + F::from_limbs( + [0x4724fc91e126a038f88846a27a42f1, 0x67d8299d6a032639726942cb41b3ab, 0x006903], + ), + F::from_limbs( + [0x767f066e1d355ec70777b85d85bd10, 0x3f7b000013450d00659ec6d69651a8, 0x000aea], + ), + F::from_limbs( + [0x36b2bbef5d95fb7d47e495b596c9e9, 0x7f053989ebbecb783501b9ec0fc922, 0x0073b2], + ), + F::from_limbs( + [0x86f14710a0c60382b81b694a693618, 0x284df013918967c1a3064fb5c83c31, 0x00003b], + ), + F::from_limbs( + [0xb23ca83d927621d3100b451544eeb2, 0xab0cf321b5b87b7be0e951d31d980f, 0x0001eb], + ), + F::from_limbs( + [0x0b675ac26be5dd2ceff4b9eabb114f, 0xfc46367bc78fb7bdf71eb7ceba6d44, 0x007201], + ), + F::from_limbs( + [0x55d00501e227d8804bf625d398d145, 0x32372fc6312f124acc1f42547e59ea, 0x005032], + ), + F::from_limbs( + [0x67d3fdfe1c34267fb409d92c672ebc, 0x751bf9d74c1920ef0be8c74d59ab69, 0x0023bb], + ), + F::from_limbs( + [0x179e352fd65140abe985536de528a4, 0xcebd48220fe6df7882f59ab9abc5a7, 0x000597], + ), + F::from_limbs( + [0xa605cdd0280abe54167aab921ad75d, 0xd895e17b6d6153c155126ee82c3fac, 0x006e55], + ), + F::from_limbs( + [0x6468c1fc0bd98bc3f6e8b28be3db63, 0x7ef3b4556ef6d679aecad160dc2576, 0x00313f], + ), + F::from_limbs( + [0x593b4103f282733c09174c741c249e, 0x285f75480e515cc0293d3840fbdfdd, 0x0042ae], + ), + F::from_limbs( + [0x13470f1ab3da1ef5d61e450be78a51, 0x2f1becd5cc2934506a82aac78647b9, 0x000c05], + ), + F::from_limbs( + [0xaa5cf3e54a81e00a29e1b9f41875b0, 0x78373cc7b11efee96d855eda51bd9a, 0x0067e8], + ), + F::from_limbs( + [0x661c5aa57383f79b12c70a99339b94, 0x46dd8726ce03b8415b884acecaf444, 0x001319], + ), + F::from_limbs( + [0x5787a85a8ad80764ed38f466cc646d, 0x6075a276af447af87c7fbed30d110f, 0x0060d4], + ), + F::from_limbs( + [0xce5f9885b2f745bfa666b56d5a311a, 0x2668128e4a2bc83ba98b6857538716, 0x000a71], + ), + F::from_limbs( + [0xef446a7a4b64b94059994992a5cee7, 0x80eb170f331c6afe2e7ca14a847e3c, 0x00697c], + ), + F::from_limbs( + [0x6aed1a564c146832d3560d5be17df8, 0x52d64d9b5c2fa87d62e7251e9f9727, 0x006b68], + ), + F::from_limbs( + [0x52b6e8a9b24796cd2ca9f1a41e8209, 0x547cdc0221188abc7520e483386e2c, 0x000885], + ), + F::from_limbs( + [0xd812068ac8f3657b45e33be2652de0, 0x309990b78e6f19be2ed4aae8454f92, 0x00411b], + ), + F::from_limbs( + [0xe591fc7535689984ba1cc31d9ad221, 0x76b998e5eed9197ba9335eb992b5c0, 0x0032d2], + ), + F::from_limbs( + [0xbd51462129070533c31b718832f5e8, 0x19426e03b06186e1de604ed007c9b0, 0x006903], + ), + F::from_limbs( + [0x0052bcded554f9cc3ce48d77cd0a19, 0x8e10bb99cce6ac57f9a7bad1d03ba3, 0x000aea], + ), + F::from_limbs( + [0x55d8768e908ff925fd2d98cb6dbbee, 0x8db0c855debd836ab3062d9fa9d8d9, 0x00547a], + ), + F::from_limbs( + [0x67cb8c716dcc05da02d26634924413, 0x19a261479e8aafcf2501dc022e2c7a, 0x001f73], + ), + F::from_limbs( + [0x8e0ba527eca417365149025f015d1e, 0xc3152df73f24a32669617e74f15ae1, 0x0070fc], + ), + F::from_limbs( + [0x2f985dd811b7e7c9aeb6fca0fea2e3, 0xe43dfba63e2390136ea68b2ce6aa72, 0x0002f0], + ), + F::from_limbs( + [0x8275c394add2deae53a0e275fd0cf4, 0x7b2aeb5230fa2c195afbea2192bd19, 0x00702f], + ), + F::from_limbs( + [0x3b2e3f6b50892051ac5f1c8a02f30d, 0x2c283e4b4c4e07207d0c1f8045483a, 0x0003be], + ), + F::from_limbs( + [0xb3c3d1d51852439775462cfb15928e, 0x5b03ee8a9e0c240a6ba7523bd51940, 0x00068f], + ), + F::from_limbs( + [0x09e0312ae609bb688ab9d204ea6d73, 0x4c4f3b12df3c0f2f6c60b76602ec13, 0x006d5e], + ), + F::from_limbs( + [0x2b5f0db0dd8f62428bf3d065323436, 0x3195598a28d8092bd18a7ee24d2161, 0x0001e3], + ), + F::from_limbs( + [0x9244f54f20cc9cbd740c2e9acdcbcb, 0x75bdd01354702a0e067d8abf8ae3f2, 0x00720a], + ), + F::from_limbs( + [0x9df86f28195171f1fe341312f98924, 0x54eb6b36c54b9602ae7a61023ae791, 0x0031b3], + ), + F::from_limbs( + [0x1fab93d7e50a8d0e01cbebed0676dd, 0x5267be66b7fc9d37298da89f9d1dc2, 0x00423a], + ), + F::from_limbs( + [0x32e14ea5c65fd882f06ddfe57fb749, 0xa4854293013e6b346b4a4b01e810da, 0x00109a], + ), + F::from_limbs( + [0x8ac2b45a37fc267d0f921f1a8048b8, 0x02cde70a7c09c8056cbdbe9feff479, 0x006353], + ), + F::from_limbs( + [0x423c71ad2b0dfa572131cee36007fa, 0x33b9c1df4ffd1b118bfbe33bd251a0, 0x001467], + ), + F::from_limbs( + [0x7b679152d34e04a8dece301c9ff807, 0x739967be2d4b18284c0c266605b3b3, 0x005f86], + ), + F::from_limbs( + [0x4312ad66d4b7e90d2b6da17aab81c3, 0xe4da640bbaac82fcb1b1e258caf7f7, 0x00218a], + ), + F::from_limbs( + [0x7a91559929a415f2d4925d85547e3e, 0xc278c591c29bb03d265627490d0d5c, 0x005262], + ), + F::from_limbs( + [0x7b3c07432c4bb846d7751759b82258, 0xbcb86c65c99f9735bdebf5628898ac, 0x00653a], + ), + F::from_limbs( + [0x4267fbbcd21046b9288ae7a647dda9, 0xea9abd37b3a89c041a1c143f4f6ca7, 0x000eb2], + ), + F::from_limbs( + [0x9ce7c297ab8d54db615b721e6888d5, 0x889f6574f553a2a6da1423fa9a8a78, 0x002313], + ), + F::from_limbs( + [0x20bc406852ceaa249ea48ce197772c, 0x1eb3c42887f49092fdf3e5a73d7adb, 0x0050da], + ), + F::from_limbs( + [0x73546ee70933efffe30ef5a9528edd, 0x0e58e6c6cf02feb911dc3dad3a3bad, 0x0054bc], + ), + F::from_limbs( + [0x4a4f9418f5280f001cf10956ad7124, 0x98fa42d6ae453480c62bcbf49dc9a6, 0x001f31], + ), + F::from_limbs( + [0x4b743731d6de69caf95626573b849e, 0x7b4eac93969def71980219544f4fd8, 0x0017e4], + ), + F::from_limbs( + [0x722fcbce277d953506a9d8a8c47b63, 0x2c047d09e6aa43c84005f04d88b57b, 0x005c09], + ), + F::from_limbs( + [0x76809182ba32c095d44706ae689c0c, 0xa9f46ae7f49b8041bad9d23de711f3, 0x0070d4], + ), + F::from_limbs( + [0x4723717d44293e6a2bb8f8519763f5, 0xfd5ebeb588acb2f81d2e3763f0f360, 0x000318], + ), + F::from_limbs( + [0x4311151b41f2e4a8b188dd1a6a4bf6, 0x66fd2e6a621ba27d46e4e6ebaaab28, 0x002920], + ), + F::from_limbs( + [0x7a92ede4bc691a574e7721e595b40b, 0x4055fb331b2c90bc912322b62d5a2b, 0x004acd], + ), + F::from_limbs( + [0x5cb240f458a0411af937dd7884b5bd, 0x5c392742ebcb8eda0f11c5920ab794, 0x004c46], + ), + F::from_limbs( + [0x60f1c20ba5bbbde506c821877b4a44, 0x4b1a025a917ca45fc8f6440fcd4dbf, 0x0027a7], + ), + F::from_limbs( + [0x6b26bf3a5b9cedc4de75f89a010b97, 0x7787223bc8fc5a52f2e3933f823d47, 0x006a5b], + ), + F::from_limbs( + [0x527d43c5a2bf113b218a0665fef46a, 0x2fcc0761b44bd8e6e524766255c80c, 0x000992], + ), + F::from_limbs( + [0x906daf54262b5a6d913c8a21d61a14, 0xfd20ce3f8b5ded02bf205d2103eac1, 0x00646e], + ), + F::from_limbs( + [0x2d3653abd830a4926ec374de29e5ed, 0xaa325b5df1ea463718e7ac80d41a92, 0x000f7e], + ), + F::from_limbs( + [0xd3fa076900a2701dc2e8ce1a0001e5, 0x8a061c5504e40c9c6d744ce76f9570, 0x004bae], + ), + F::from_limbs( + [0xe9a9fb96fdb98ee23d1730e5fffe1c, 0x1d4d0d487864269d6a93bcba686fe2, 0x00283f], + ), + F::from_limbs( + [0x841ffb42a9153d71f0aca0022c86e0, 0x0b4a3128782aad8b75eeb88658b3d3, 0x002b1f], + ), + F::from_limbs( + [0x398407bd5546c18e0f535efdd37921, 0x9c08f875051d85ae6219511b7f5180, 0x0048ce], + ), + F::from_limbs( + [0x328f11d9cdf877394e8363ac674b29, 0xfea00f8d24bf97d28a6cca10529e21, 0x004b21], + ), + F::from_limbs( + [0x8b14f126306387c6b17c9b5398b4d8, 0xa8b31a1058889b674d9b3f91856732, 0x0028cb], + ), + F::from_limbs( + [0x535ba390e22a934f2887da7a4613ac, 0x146fc82c471d6006a526adeef61511, 0x005d2c], + ), + F::from_limbs( + [0x6a485f6f1c316bb0d7782485b9ec55, 0x92e36171362ad33332e15bb2e1f042, 0x0016c1], + ), + F::from_limbs( + [0xe632049f8464426c8b9b2bf815aad7, 0x48ccf85251fc944d705267aef07995, 0x002fe5], + ), + F::from_limbs( + [0xd771fe6079f7bc937464d307ea552a, 0x5e86314b2b4b9eec67b5a1f2e78bbd, 0x004408], + ), + F::from_limbs( + [0xe3f58397fa59ca7ee8c97459708936, 0x49b450f7e1001fbfe1fc8d8a0d5fe7, 0x007294], + ), + F::from_limbs( + [0xd9ae7f680402348117368aa68f76cb, 0x5d9ed8a59c481379f60b7c17caa56b, 0x000159], + ), + F::from_limbs( + [0x9de328231391765bc4f547e17fae04, 0x7ae3db865ba7714dcc8e32350736c2, 0x002d93], + ), + F::from_limbs( + [0x1fc0dadceaca88a43b0ab71e8051fd, 0x2c6f4e1721a0c1ec0b79d76cd0ce91, 0x00465a], + ), + F::from_limbs( + [0x99e982481eb187c638ab874c146c0a, 0x850021892f6b10f3be96e9d4669892, 0x001b04], + ), + F::from_limbs( + [0x23ba80b7dfaa7739c75477b3eb93f7, 0x225308144ddd224619711fcd716cc1, 0x0058e9], + ), + F::from_limbs( + [0x22968828352a6e3f4bf52554d38e6f, 0xf1c7a7718e251607c0636d7990d68f, 0x00262a], + ), + F::from_limbs( + [0x9b0d7ad7c93190c0b40ad9ab2c7192, 0xb58b822bef231d3217a49c28472ec4, 0x004dc2], + ), + F::from_limbs( + [0x19d4b2a482d2fbc23c6ee8ac5a4aaf, 0xc9aafb60bcbac15b96d0a2f553f4e4, 0x002d95], + ), + F::from_limbs( + [0xa3cf505b7b89033dc3911653a5b552, 0xdda82e3cc08d71de413766ac84106f, 0x004657], + ), + F::from_limbs( + [0x9ac76eb653b8077d5feb370589ddcd, 0x1cea5e2d9df0734149137047b1786e, 0x003b8c], + ), + F::from_limbs( + [0x22dc9449aaa3f782a014c7fa762234, 0x8a68cb6fdf57bff88ef4995a268ce5, 0x003861], + ), + F::from_limbs( + [0x6ea99bee92c793b2126ee2e55d5b7b, 0x532503b950c74c9db999b77bc95b13, 0x006efd], + ), + F::from_limbs( + [0x4efa67116b946b4ded911c1aa2a486, 0x542e25e42c80e69c1e6e52260eaa40, 0x0004f0], + ), + F::from_limbs( + [0x4abd405dd655c9caba576e317c51c0, 0x5b7f47d7e3dde00b481b539b58b533, 0x006e5f], + ), + F::from_limbs( + [0x72e6c2a22806353545a890ce83ae41, 0x4bd3e1c5996a532e8fecb6067f5020, 0x00058e], + ), + F::from_limbs( + [0x231f19c71e8773da6453c4f956b91c, 0x019aedcb1f56b52853da3777fcc872, 0x000eaf], + ), + F::from_limbs( + [0x9a84e938dfd48b259bac3a06a946e5, 0xa5b83bd25df17e11842dd229db3ce1, 0x00653e], + ), + F::from_limbs( + [0x19668a6e56d866fa44b2cf5ea9ce3e, 0x3a4b78ab5c819959f3c1dbce24dcb2, 0x00567a], + ), + F::from_limbs( + [0xa43d7891a7839805bb4d2fa15631c3, 0x6d07b0f220c699dfe4462dd3b328a1, 0x001d73], + ), + F::from_limbs( + [0x8fc3ecb74d2370818a195b4030b82d, 0xda607fd657b1ecc589fe94d902934c, 0x002c8e], + ), + F::from_limbs( + [0x2de01648b1388e7e75e6a3bfcf47d4, 0xccf2a9c7259646744e0974c8d57207, 0x00475e], + ), + F::from_limbs( + [0x8586ae1f584b84c709f7cddb49aefe, 0x9d29782d7022884ec5a8cd2669f7cc, 0x0019fa], + ), + F::from_limbs( + [0x381d54e0a6107a38f6083124b65103, 0x0a29b1700d25aaeb125f3c7b6e0d87, 0x0059f3], + ), + F::from_limbs( + [0x97551d7eb479316903092c74d1b363, 0xc0dfcf0eae86c2b3ee68881b3131e8, 0x004b0e], + ), + F::from_limbs( + [0x264ee58149e2cd96fcf6d28b2e4c9e, 0xe6735a8ecec17085e99f8186a6d36b, 0x0028de], + ), + F::from_limbs( + [0x8f79025062832db2e14ff671c966ca, 0x39d976a5cc746815ff2c5df25e4c4b, 0x00500c], + ), + F::from_limbs( + [0x2e2b00af9bd8d14d1eb0088e369937, 0x6d79b2f7b0d3cb23d8dbabaf79b908, 0x0023e1], + ), + F::from_limbs( + [0x9d16dab72c6ea893501f19a2ae9b40, 0x9285f4b67ba0714fb14e35f116982e, 0x003c74], + ), + F::from_limbs( + [0x208d2848d1ed566cafe0e55d5164c1, 0x14cd34e701a7c1ea26b9d3b0c16d25, 0x003779], + ), + F::from_limbs( + [0x376a86c53fbaa0e7b0f84cf1693a6c, 0xd3d2ca0f2c04501eff841f6ad00440, 0x005f25], + ), + F::from_limbs( + [0x86397c3abea15e184f07b20e96c595, 0xd3805f8e5143e31ad883ea37080113, 0x0014c7], + ), + F::from_limbs( + [0xcfc741b88a6d90351e7a72117b4660, 0xbefa63943b3c9fb623bd7d8f468827, 0x00235e], + ), + F::from_limbs( + [0xeddcc14773ee6ecae1858cee84b9a1, 0xe858c609420b9383b44a8c12917d2b, 0x00508e], + ), + F::from_limbs( + [0x73d6ebd3f2d04ebd818c79e9b418c3, 0xa89d6917cf356fb52776257e47f6bd, 0x006d9c], + ), + F::from_limbs( + [0x49cd172c0b8bb0427e7385164be73e, 0xfeb5c085ae12c384b091e423900e96, 0x000650], + ), + F::from_limbs( + [0xcbed26a10189725865f49cae84c1f0, 0x51abf2ff1a7ac214f8af079281e8c2, 0x001c89], + ), + F::from_limbs( + [0xf1b6dc5efcd28ca79a0b62517b3e11, 0x55a7369e62cd7124df59020f561c90, 0x005764], + ), + F::from_limbs( + [0x5c2a2517ea29380d784d83532d58a4, 0xe5bdc2f376ef3fbfaf7cf36c98f23c, 0x002acb], + ), + F::from_limbs( + [0x6179dde81432c6f287b27bacd2a75d, 0xc19566aa0658f37a288b16353f1317, 0x004921], + ), + F::from_limbs( + [0x0c396a9fa67ea67e2a604403076877, 0xa9395cb8d476fab39024f46a4961d9, 0x003334], + ), + F::from_limbs( + [0xb16a986057dd5881d59fbafcf8978a, 0xfe19cce4a8d1388647e315378ea37a, 0x0040b8], + ), + F::from_limbs( + [0x659be0bb7e781e96ab11c20e5ad151, 0xbf9e4612a7a04b853daeb5686a7f1f, 0x005f0e], + ), + F::from_limbs( + [0x580822447fe3e06954ee3cf1a52eb0, 0xe7b4e38ad5a7e7b49a5954396d8634, 0x0014de], + ), + F::from_limbs( + [0x34af14b61e0abe74a1f6718c130477, 0x7a8bca252472eb674a1a620890d7a5, 0x004352], + ), + F::from_limbs( + [0x88f4ee49e051408b5e098d73ecfb8a, 0x2cc75f7858d547d28deda799472dae, 0x00309b], + ), + F::from_limbs( + [0x986d4f948654a8ddccfd2991cb1cc7, 0x529d1d76d858cc6ba0596eae27c4e4, 0x003b18], + ), + F::from_limbs( + [0x2536b36b780756223302d56e34e33a, 0x54b60c26a4ef66ce37ae9af3b0406f, 0x0038d5], + ), + F::from_limbs( + [0x9da80dc7ef9f0f200b5775cb7c7f34, 0xada04d5e74819262a96d0a5549b5f1, 0x000679], + ), + F::from_limbs( + [0x1ffbf5380ebcefdff4a889348380cd, 0xf9b2dc3f08c6a0d72e9aff4c8e4f62, 0x006d73], + ), + F::from_limbs( + [0x8076a04042fa6a4ae23d4887732cc7, 0x84efe7a91e54c20ba6c40efc806c85, 0x005327], + ), + F::from_limbs( + [0x3d2d62bfbb6194b51dc2b6788cd33a, 0x226341f45ef3712e3143faa55798ce, 0x0020c6], + ), + F::from_limbs( + [0xad338dc96b53f06d9bd93caef95435, 0x46d16b0ded487a772571e97d5605ea, 0x004ac4], + ), + F::from_limbs( + [0x1070753693080e926426c25106abcc, 0x6081be8f8fffb8c2b296202481ff69, 0x002929], + ), + F::from_limbs( + [0x640ded94a2153f4f3cf1b82d878f30, 0x620c501b6d5b34b1fe426ba069ee6f, 0x000904], + ), + F::from_limbs( + [0x5996156b5c46bfb0c30e46d27870d1, 0x4546d9820fecfe87d9c59e016e16e4, 0x006ae9], + ), + F::from_limbs( + [0x3fcc8fbece3ff36832c0e6cf2383d0, 0xb5ed3c6c5168d7a5b570137a2c4e8f, 0x0030a3], + ), + F::from_limbs( + [0x7dd77341301c0b97cd3f1830dc7c31, 0xf165ed312bdf5b942297f627abb6c4, 0x004349], + ), + F::from_limbs( + [0x950b898168358f10a2ea8dd9532d0b, 0x3fa6331dc12669b74e8a5f93d55dda, 0x0043a1], + ), + F::from_limbs( + [0x2898797e96266fef5d157126acd2f6, 0x67acf67fbc21c982897daa0e02a779, 0x00304c], + ), + F::from_limbs( + [0x87dd867c2846dfcc3b7f324100ce0b, 0xdd9346337dff0ec770162a016a73c0, 0x000934], + ), + F::from_limbs( + [0x35c67c83d6151f33c480ccbeff31f6, 0xc9bfe369ff49247267f1dfa06d9193, 0x006ab8], + ), + F::from_limbs( + [0xea948838d3a59e714fe5f9a319f08b, 0xd9b9e9bc0a45bca442260d0f5cc781, 0x0019ff], + ), + F::from_limbs( + [0xd30f7ac72ab6608eb01a055ce60f76, 0xcd993fe17302769595e1fc927b3dd1, 0x0059ed], + ), + F::from_limbs( + [0x42eaa33c21a6c3f8e855b7ca48e223, 0x2a883802cf8d5e7aadc120761b2157, 0x001430], + ), + F::from_limbs( + [0x7ab95fc3dcb53b0717aa4735b71dde, 0x7ccaf19aadbad4bf2a46e92bbce3fc, 0x005fbd], + ), + F::from_limbs( + [0xea26e3e861e9a6f03205e4801f0670, 0x521b43809c6f413f091a0442fe3b0a, 0x0057e2], + ), + F::from_limbs( + [0xd37d1f179c72580fcdfa1a7fe0f991, 0x5537e61ce0d8f1faceee055ed9ca48, 0x001c0b], + ), + F::from_limbs( + [0x888aca5f2cf18937eb9c08a6bad0a5, 0xb368c1bd3ec3d9a4667dbe97b7466b, 0x006c24], + ), + F::from_limbs( + [0x351938a0d16a75c81463f659452f5c, 0xf3ea67e03e845995718a4b0a20bee8, 0x0007c8], + ), + F::from_limbs( + [0xca463738abfdcceae6f7f2c97f6ddc, 0x37a8bdb046c980f6c206144132a757, 0x0053ca], + ), + F::from_limbs( + [0xf35dcbc7525e321519080c36809225, 0x6faa6bed367eb2431601f560a55dfb, 0x002023], + ), + F::from_limbs( + [0x33e248bb1c34f3d3daea56ba7f16a9, 0xf0818c66f93206930810c8ebd7cf6f, 0x002c56], + ), + F::from_limbs( + [0x89c1ba44e2270b2c2515a84580e958, 0xb6d19d3684162ca6cff740b60035e4, 0x004796], + ), + F::from_limbs( + [0xfa342f2e54d35b3efaf03e1f4c23a5, 0x4ed170bf21bac2867ad9bd62474fc4, 0x00426e], + ), + F::from_limbs( + [0xc36fd3d1a988a3c1050fc0e0b3dc5c, 0x5881b8de5b8d70b35d2e4c3f90b58e, 0x00317f], + ), + F::from_limbs( + [0xee7464cc2693acc7f2b0c7f97d0157, 0xcd54ee73a12d5a25364bab696dd707, 0x0044f2], + ), + F::from_limbs( + [0xcf2f9e33d7c852380d4f370682feaa, 0xd9fe3b29dc1ad914a1bc5e386a2e4b, 0x002efa], + ), + F::from_limbs( + [0x09bb3a7eed94b5ee1cb6e72b82c6d1, 0x2cf9a0599655f39dd358a82382f466, 0x002a3b], + ), + F::from_limbs( + [0xb3e8c88110c74911e34917d47d3930, 0x7a598943e6f23f9c04af617e5510ed, 0x0049b2], + ), + F::from_limbs( + [0xded1798f001c83984bae2ba9e576ec, 0x56ee3af2ac38ca85bda4670d2c2307, 0x000975], + ), + F::from_limbs( + [0xded28970fe3f7b67b451d3561a8915, 0x5064eeaad10f68b41a63a294abe24b, 0x006a78], + ), + F::from_limbs( + [0x4dc75cbe09f501a0b24ec3dca1f2ce, 0x3112ac902e13ee36737d3869b66204, 0x0031e6], + ), + F::from_limbs( + [0x6fdca641f466fd5f4db13b235e0d33, 0x76407d0d4f344503648ad13821a34f, 0x004207], + ), + F::from_limbs( + [0x156add501a1c6937b11e308bf0abc8, 0x363da95355ccf81be9d7b571ce05b1, 0x003e29], + ), + F::from_limbs( + [0xa83925afe43f95c84ee1ce740f5439, 0x7115804a277b3b1dee30543009ffa2, 0x0035c4], + ), + F::from_limbs( + [0xb50c83fd1f5c0dcd6dcd1e8a6d2938, 0x647da03f2b3cd52856ab58c24f30f6, 0x0025ad], + ), + F::from_limbs( + [0x08977f02defff1329232e07592d6c9, 0x42d5895e520b5e11815cb0df88d45d, 0x004e40], + ), + F::from_limbs( + [0xa73479f853c1eb8d14b4edec527670, 0x6dce2e5ec6630aa522414c846da37a, 0x001450], + ), + F::from_limbs( + [0x166f8907aa9a1372eb4b1113ad8991, 0x3984fb3eb6e52894b5c6bd1d6a61d9, 0x005f9d], + ), + F::from_limbs( + [0xd15d8f0976f55e06f8ee5e9777964d, 0x95ea54b09d10987f4e2ce1b79388c1, 0x00413d], + ), + F::from_limbs( + [0xec4673f68766a0f90711a0688869b4, 0x1168d4ece0379aba89db27ea447c91, 0x0032b0], + ), + F::from_limbs( + [0xb6afda9637ccb788a3d4bd18e66da6, 0x518219806ce2d8c3dd1ccbc1b529ec, 0x005581], + ), + F::from_limbs( + [0x06f42869c68f47775c2b41e719925b, 0x55d1101d10655a75faeb3de022db67, 0x001e6c], + ), + F::from_limbs( + [0x991b24aa25db0e40861b826cace87f, 0x5ee79ca9436b6c1feffb1c216f70a6, 0x007149], + ), + F::from_limbs( + [0x2488de55d880f0bf79e47c93531782, 0x486b8cf439dcc719e80ced806894ad, 0x0002a4], + ), + F::from_limbs( + [0xfb90de5161d3aa0e4f9e5a6854836c, 0x7730aabeaf2707d3acaf7b7234937b, 0x000453], + ), + F::from_limbs( + [0xc21324ae9c8854f1b061a497ab7c95, 0x30227edece212b662b588e2fa371d7, 0x006f9a], + ), + F::from_limbs( + [0x514cd4e04272c008e2fb108e12e22a, 0x80e1938cd09c9a3ae5427d8e18cb54, 0x000fe6], + ), + F::from_limbs( + [0x6c572e1fbbe93ef71d04ee71ed1dd7, 0x26719610acab98fef2c58c13bf39ff, 0x006407], + ), + F::from_limbs( + [0xad623bf3402bd57a9634b25637c216, 0x449c6a67b9ed93981376c9cd141418, 0x003869], + ), + F::from_limbs( + [0x1041c70cbe30298569cb4ca9c83deb, 0x62b6bf35c35a9fa1c4913fd4c3f13b, 0x003b84], + ), + F::from_limbs( + [0xc2dfa82313ad493a3e1a7aa260077d, 0xbce2aa1625f8acb62f7f17837a2577, 0x001c25], + ), + F::from_limbs( + [0xfac45adceaaeb5c5c1e5845d9ff884, 0xea707f87574f8683a888f21e5ddfdb, 0x0057c7], + ), + F::from_limbs( + [0x1db465016aecf09e6f74084c8e85a6, 0xf3dd5bee9b24bd298bcb9b46025a18, 0x006cbe], + ), + F::from_limbs( + [0x9fef9dfe936f0e61908bf6b3717a5b, 0xb375cdaee22376104c3c6e5bd5ab3b, 0x00072e], + ), + F::from_limbs( + [0x07ba425b194f3be868c32a5b94f4e5, 0x27101520c4b2e11d3393b8d009aa2c, 0x000eba], + ), + F::from_limbs( + [0xb5e9c0a4e50cc317973cd4a46b0b1c, 0x8043147cb895521ca47450d1ce5b27, 0x006533], + ), + F::from_limbs( + [0xe5eebb2c61bfc76d8878e6c92c1964, 0x3ea3f96c0440f88cd53e4cee2d698d, 0x00507c], + ), + F::from_limbs( + [0xd7b547d39c9c379277871836d3e69d, 0x68af303179073aad02c9bcb3aa9bc5, 0x002371], + ), + F::from_limbs( + [0xcaef2e1b379cbd65f21f6521b5ffe3, 0xb92efbacec2085f75cd0394e7e1493, 0x004c10], + ), + F::from_limbs( + [0xf2b4d4e4c6bf419a0de099de4a001e, 0xee242df09127ad427b37d05359f0bf, 0x0027dc], + ), + F::from_limbs( + [0x5a90d8902f34ee2ffffbac2e990b32, 0x85e3496a299b1a2b4aad24d743792b, 0x0042ce], + ), + F::from_limbs( + [0x63132a6fcf2710d0000452d166f4cf, 0x216fe03353ad190e8d5ae4ca948c28, 0x00311f], + ), + F::from_limbs( + [0xb5b47bb725cda97ed4be029bd47ddd, 0x6e0bba848829e2af1b87209c0c0556, 0x0072af], + ), + F::from_limbs( + [0x07ef8748d88e55812b41fc642b8224, 0x39476f18f51e508abc80e905cbfffd, 0x00013e], + ), + F::from_limbs( + [0x2bafd544a199a3fe213ce3f40c2fa1, 0x01cdf2ff819eb174b778fe8e29f421, 0x00158b], + ), + F::from_limbs( + [0x91f42dbb5cc25b01dec31b0bf3d060, 0xa585369dfba981c5208f0b13ae1132, 0x005e62], + ), + F::from_limbs( + [0xe7f96676286b47c433afe4d106b43d, 0x310d4f00fee0175ca29996af2afe4e, 0x004b52], + ), + F::from_limbs( + [0xd5aa9c89d5f0b73bcc501a2ef94bc4, 0x7645da9c7e681bdd356e72f2ad0704, 0x00289b], + ), + F::from_limbs( + [0xca2c4fd11289ccc9f8090ae9106aaf, 0x72623392274a8b3b1472c4aac7b30c, 0x00586f], + ), + F::from_limbs( + [0xf377b32eebd2323607f6f416ef9552, 0x34f0f60b55fda7fec39544f7105246, 0x001b7e], + ), + F::from_limbs( + [0xddcb3aae11b4f6a83569dad6cd41e9, 0xa2a0e40b14ad3ac082ec036858c652, 0x0042cb], + ), + F::from_limbs( + [0xdfd8c851eca70857ca96242932be18, 0x04b24592689af879551c06397f3f00, 0x003122], + ), + F::from_limbs( + [0xa633eb2bd252b8f338d1145bbf0bd5, 0x83fc39549f77c4b5af9e6def1f5a2e, 0x006953], + ), + F::from_limbs( + [0x177017d42c09460cc72eeaa440f42c, 0x2356f048ddd06e8428699bb2b8ab25, 0x000a9a], + ), + F::from_limbs( + [0xcd97301b698d332256b524d8b89e8b, 0x754e6966f69b3071acf3d7805a5c41, 0x004f5b], + ), + F::from_limbs( + [0xf00cd2e494cecbdda94ada27476176, 0x3204c03686ad02c82b1432217da911, 0x002492], + ), + F::from_limbs( + [0x85f998168289ca7f2423392adae5b9, 0xd7a8d381273c1b290213873ae175d7, 0x004fd7], + ), + F::from_limbs( + [0x37aa6ae97bd23480dbdcc5d5251a48, 0xcfaa561c560c1810d5f48266f68f7c, 0x002415], + ), + F::from_limbs( + [0x461c33c1a0f0b758be078a66b064a1, 0xe1a1f2cc7087dc66f4b808f364646b, 0x0037f4], + ), + F::from_limbs( + [0x7787cf3e5d6b47a741f874994f9b60, 0xc5b136d10cc056d2e35000ae73a0e8, 0x003bf8], + ), + F::from_limbs( + [0x10344b217e61bd034fe540f385a129, 0x7149c0f9efc012a497e72294fe0d1b, 0x000151], + ), + F::from_limbs( + [0xad6fb7de7ffa41fcb01abe0c7a5ed8, 0x360968a38d8820954020e70cd9f838, 0x00729c], + ), + F::from_limbs( + [0xaa12dad03920b780c10f21710ecb97, 0x2c08ab0d493cb63fc62f04e5adaf87, 0x0038b5], + ), + F::from_limbs( + [0x1391282fc53b477f3ef0dd8ef1346a, 0x7b4a7e90340b7cfa11d904bc2a55cc, 0x003b38], + ), + F::from_limbs( + [0xc9785e4b1a161953a535350d483019, 0x62ff5bf8d281fb472b23db94f42d8e, 0x00420b], + ), + F::from_limbs( + [0xf42ba4b4e445e5ac5acac9f2b7cfe8, 0x4453cda4aac637f2ace42e0ce3d7c4, 0x0031e2], + ), + F::from_limbs( + [0xf91bc8feb9b112808f505c45cb015c, 0x917dc58e99c00d615843aba8be67e6, 0x00109e], + ), + F::from_limbs( + [0xc4883a0144aaec7f70afa2ba34fea5, 0x15d5640ee38825d87fc45df9199d6c, 0x00634f], + ), + F::from_limbs( + [0xa0b2c8a4a7bc2e69a5eae3e0a37475, 0x723faf835210730c75680995aa200f, 0x006fb5], + ), + F::from_limbs( + [0x1cf13a5b569fd0965a151b1f5c8b8c, 0x35137a1a2b37c02d62a0000c2de544, 0x000438], + ), + F::from_limbs( + [0x5cf9ee56a0d33e35042724c5b436bb, 0xc0eebcb1f4772ef461072f445e70e7, 0x00080e], + ), + F::from_limbs( + [0x60aa14a95d88c0cafbd8da3a4bc946, 0xe6646ceb88d104457700da5d79946c, 0x006bde], + ), + F::from_limbs( + [0xe4ef4d5372d2492e81ced8221f9f8a, 0x1efd37f7f7e0769798bf3a5553980d, 0x0060b7], + ), + F::from_limbs( + [0xd8b4b5ac8b89b5d17e3126dde06077, 0x8855f1a58567bca23f48cf4c846d45, 0x001336], + ), + F::from_limbs( + [0xc6252dbf1b326892f4d9b3220826cd, 0xfeab6ca661472557041d93d5177942, 0x0013b1], + ), + F::from_limbs( + [0xf77ed540e329966d0b264bddf7d934, 0xa8a7bcf71c010de2d3ea75ccc08c10, 0x00603b], + ), + F::from_limbs( + [0x9b851d08727d4269878537a09ab251, 0xe2b20f3384ec13ab948f2be0c4358d, 0x005366], + ), + F::from_limbs( + [0x221ee5f78bdebc96787ac75f654db0, 0xc4a11a69f85c1f8e4378ddc113cfc6, 0x002086], + ), + F::from_limbs( + [0x97fa6b553424bce61ba1af6202359a, 0x62790c9ec5709483ded871817d0f54, 0x0027cf], + ), + F::from_limbs( + [0x25a997aaca374219e45e4f9dfdca67, 0x44da1cfeb7d79eb5f92f98205af5ff, 0x004c1e], + ), + F::from_limbs( + [0xc62920e6caa9f8f2292b77ec6944b7, 0x17e308d1480c85fddad45ca496fc0c, 0x006ddc], + ), + F::from_limbs( + [0xf77ae21933b2060dd6d4871396bb4a, 0x8f7020cc353bad3bfd33acfd410946, 0x000611], + ), + F::from_limbs( + [0xcc6493ffad656f51eae331d45e4567, 0x9478a2d01333d6a928516c6c492af2, 0x0048b3], + ), + F::from_limbs( + [0xf13f6f0050f68fae151ccd2ba1ba9a, 0x12da86cd6a145c90afb69d358eda60, 0x002b3a], + ), + F::from_limbs( + [0xa4b9a7d9b44f7d6609134c8fd05714, 0xef733c2089cf6b37fc2d2bce9a49f6, 0x006304], + ), + F::from_limbs( + [0x18ea5b264a0c8199f6ecb2702fa8ed, 0xb7dfed7cf378c801dbdaddd33dbb5d, 0x0010e8], + ), + F::from_limbs( + [0x01287aa8e28eee99c2146c444e519a, 0xaa852cf69d9898ecff7fc2e04b67ab, 0x0025ea], + ), + F::from_limbs( + [0xbc7b88571bcd10663deb92bbb1ae67, 0xfccdfca6dfaf9a4cd88846c18c9da8, 0x004e02], + ), + F::from_limbs( + [0x6c05295b5fb41cb8d6b4ecef99c9e8, 0x71a09ca75e9ecf0144808af6112ecb, 0x001783], + ), + F::from_limbs( + [0x519ed9a49ea7e247294b1210663619, 0x35b28cf61ea9643893877eabc6d688, 0x005c6a], + ), + F::from_limbs( + [0x0dab4c4a2a63ad2369ef864781d95e, 0x2f7c6017a94f9b01da56279eb5d9e5, 0x003cd1], + ), + F::from_limbs( + [0xaff8b6b5d3f851dc961078b87e26a3, 0x77d6c985d3f89837fdb1e203222b6e, 0x00371c], + ), + F::from_limbs( + [0xfbbf05605e22049088086fe345cf99, 0x9962d49e98f824a86f10b7e39f2849, 0x004955], + ), + F::from_limbs( + [0xc1e4fd9fa039fa6f77f78f1cba3068, 0x0df054fee4500e9168f751be38dd09, 0x002a98], + ), + F::from_limbs( + [0x6ea85e98587c4a13068409bc82e244, 0x73eb7bcba57289a774bf888a996f9c, 0x0052c7], + ), + F::from_limbs( + [0x4efba467a5dfb4ecf97bf5437d1dbd, 0x3367add1d7d5a992634881173e95b7, 0x002126], + ), + F::from_limbs( + [0x15a25c56a25116ef4661cf681ac890, 0x122395c63dc1d8108a1f42d3561429, 0x000157], + ), + F::from_limbs( + [0xa801a6a95c0ae810b99e2f97e53771, 0x952f93d73f865b294de8c6ce81f12a, 0x007296], + ), + F::from_limbs( + [0xfa85c091fab993f2d6a61c264bba11, 0xc9de3a5deb69cc970bd5f2e6c815a4, 0x005469], + ), + F::from_limbs( + [0xc31e426e03a26b0d2959e2d9b445f0, 0xdd74ef3f91de66a2cc3216bb0fefae, 0x001f83], + ), + F::from_limbs( + [0x9cf7f79590474d5947ce0ad319cdc7, 0xe9425e38ffcc78b5a5b93d41590f4b, 0x0054d9], + ), + F::from_limbs( + [0x20ac0b6a6e14b1a6b831f42ce6323a, 0xbe10cb647d7bba84324ecc607ef608, 0x001f13], + ), + F::from_limbs( + [0x059903e0524868e55b60810a7f877b, 0xe6dafe0adda151ded54695836adc05, 0x006bea], + ), + F::from_limbs( + [0xb80aff1fac13961aa49f7df5807886, 0xc0782b929fa6e15b02c1741e6d294e, 0x000802], + ), + F::from_limbs( + [0xe617879a72d893b66d13df0b850d61, 0x14ed7cb17771b59db72419438d24fd, 0x002e07], + ), + F::from_limbs( + [0xd78c7b658b836b4992ec1ff47af2a0, 0x9265acec05d67d9c20e3f05e4ae055, 0x0045e6], + ), + F::from_limbs( + [0xe4824fbac5f8e7a21ac44df3477076, 0x4574e3442ee136aebb2396bd4f09d5, 0x0062b3], + ), + F::from_limbs( + [0xd921b3453863175de53bb10cb88f8b, 0x61de46594e66fc8b1ce472e488fb7d, 0x00113a], + ), + F::from_limbs( + [0xb8ecee197d9af0e3712b897f88b4d1, 0x00c45b561179be483f87c82a93f63f, 0x001a16], + ), + F::from_limbs( + [0x04b714e680c10e1c8ed47580774b30, 0xa68ece476bce74f198804177440f14, 0x0059d7], + ), + F::from_limbs( + [0x94ef84e6b7b995a1041f9488f68dae, 0x2ec1fc6138bd21f6d173aa046fe4ca, 0x0026c6], + ), + F::from_limbs( + [0x28b47e1946a2695efbe06a77097253, 0x78912d3c448b114306945f9d682089, 0x004d27], + ), + F::from_limbs( + [0x6d56a1d006b6372fac4dd82e55e945, 0x85187afb65a3c87c53ce3f7a76569b, 0x004129], + ), + F::from_limbs( + [0x504d612ff7a5c7d053b226d1aa16bc, 0x223aaea217a46abd8439ca2761aeb8, 0x0032c4], + ), + F::from_limbs( + [0x63ef45ad4908e6f172f93272aef9c6, 0xa5933f9d639627bceabba9c13bcb9a, 0x0011b5], + ), + F::from_limbs( + [0x59b4bd52b553180e8d06cc8d51063b, 0x01bfea0019b20b7ced4c5fe09c39b9, 0x006238], + ), + F::from_limbs( + [0x435d45df81fc513e24cf88d26d14bd, 0x4e82e0a4d4c5a66c4465ffe15f6be2, 0x00628f], + ), + F::from_limbs( + [0x7a46bd207c5fadc1db30762d92eb44, 0x58d048f8a8828ccd93a209c0789971, 0x00115e], + ), + F::from_limbs( + [0x5755762ed0dc2e1fda0410c4e4d674, 0x48feadc8d91349f2892deb1068f424, 0x0025ff], + ), + F::from_limbs( + [0x664e8cd12d7fd0e025fbee3b1b298d, 0x5e547bd4a434e9474eda1e916f112f, 0x004dee], + ), + F::from_limbs( + [0x976a04577e50444bc5e118fb425b35, 0xe8512409c3857773b21c8454d0d6c7, 0x001273], + ), + F::from_limbs( + [0x2639fea8800bbab43a1ee604bda4cc, 0xbf020593b9c2bbc625eb854d072e8c, 0x006179], + ), + F::from_limbs( + [0x4fb65d28974f6792018eab205ac3e1, 0x8d26543a3a60f8147ec78eec0ecf24, 0x006da6], + ), + F::from_limbs( + [0x6deda5d7670c976dfe7153dfa53c20, 0x1a2cd56342e73b2559407ab5c9362f, 0x000647], + ), + F::from_limbs( + [0x98fe6b6879e3c225a29005376888d7, 0x028e0bf569fd1c2b22c48fbf68ae2d, 0x000ebb], + ), + F::from_limbs( + [0x24a5979784783cda5d6ff9c897772a, 0xa4c51da8134b170eb54379e26f5726, 0x006532], + ), + F::from_limbs( + [0x5c491d95facfe2393b548d4204a51f, 0xc40edecaced7de301cf8986c431565, 0x0020c0], + ), + F::from_limbs( + [0x615ae56a038c1cc6c4ab71bdfb5ae2, 0xe3444ad2ae705509bb0f713594efee, 0x00532c], + ), + F::from_limbs( + [0xad139cafdaa772d6e616c9c1421c9e, 0x0a3d1e68f810578306d723b212c53f, 0x00348b], + ), + F::from_limbs( + [0x1090665023b48c2919e9353ebde363, 0x9d160b348537dbb6d130e5efc54014, 0x003f62], + ), + F::from_limbs( + [0x700a79da2ac3c6085f76ac583f79a0, 0x140bc42b07da6b95d0e40b88b4ff01, 0x002e99], + ), + F::from_limbs( + [0x4d998925d39838f7a08952a7c08661, 0x93476572756dc7a40723fe19230652, 0x004554], + ), + F::from_limbs( + [0x81818041738bf1e847f9433776feb1, 0x0ebca8a36a05a5b6c8dde49bad804f, 0x00290a], + ), + F::from_limbs( + [0x3c2282be8ad00d17b806bbc8890150, 0x989680fa13428d830f2a25062a8504, 0x004ae3], + ), + F::from_limbs( + [0x309e790e65064e32306af340c1db2d, 0x686764a69972d87fb06401dd4ca805, 0x000bd0], + ), + F::from_limbs( + [0x8d0589f19955b0cdcf950bbf3e24d4, 0x3eebc4f6e3d55aba27a407c48b5d4e, 0x00681d], + ), + F::from_limbs( + [0xde5b52cfa56e5ef9702d02ce6b3081, 0xdded4361edc32293b4da09077a31d3, 0x001395], + ), + F::from_limbs( + [0xdf48b03058eda0068fd2fc3194cf80, 0xc965e63b8f8510a6232e009a5dd37f, 0x006057], + ), + F::from_limbs( + [0x3a7a3a30e164ebf89184cfc722bd9f, 0x110afa3cec1ecf530b2c40345efea5, 0x000c0f], + ), + F::from_limbs( + [0x8329c8cf1cf713076e7b2f38dd4262, 0x96482f60912963e6ccdbc96d7906ae, 0x0067de], + ), + F::from_limbs( + [0x82c7aa2f50c6718c98f99408577a27, 0x59b976e328f1826addffd2285db4e5, 0x002059], + ), + F::from_limbs( + [0x3adc58d0ad958d7367066af7a885da, 0x4d99b2ba5456b0cefa0837797a506e, 0x005394], + ), + F::from_limbs( + [0x8fd7eef9244cb298fb4636446409e3, 0x01c7ef28e18206ab7288252332b360, 0x004783], + ), + F::from_limbs( + [0x2dcc1406da0f4c6704b9c8bb9bf61e, 0xa58b3a749bc62c8e657fe47ea551f3, 0x002c6a], + ), + F::from_limbs( + [0x32aeceebd86026c4febf0b91c6806d, 0xa560942c6498c9107c1635743781d4, 0x0012a7], + ), + F::from_limbs( + [0x8af5341425fbd83b0140f36e397f94, 0x01f2957118af6a295bf1d42da0837f, 0x006146], + ), + F::from_limbs( + [0x1d7f2bc75be4ac1b670bcfcf1f849a, 0x509f02a10d5b316a6fe11176b0f9a8, 0x003c30], + ), + F::from_limbs( + [0xa024d738a27752e498f42f30e07b67, 0x56b426fc6fed01cf6826f82b270bab, 0x0037bd], + ), + F::from_limbs( + [0xafa9321aff17c9004c5e11eb9505f9, 0x07f5cae1a195084571c7ab7696e4c1, 0x002e99], + ), + F::from_limbs( + [0x0dfad0e4ff4435ffb3a1ed146afa08, 0x9f5d5ebbdbb32af466405e2b412092, 0x004554], + ), + F::from_limbs( + [0x292d24283ac6fa129eee3f986b8455, 0x05c46d5e39f3855c0d1a0fb582e60a, 0x003852], + ), + F::from_limbs( + [0x9476ded7c39504ed6111bf67947bac, 0xa18ebc3f4354adddcaedf9ec551f49, 0x003b9b], + ), + F::from_limbs( + [0xff6d043f13d90de781a5b5ae382857, 0xc1f34621fa6d9a2287d5f9220e2fb7, 0x003caa], + ), + F::from_limbs( + [0xbe36fec0ea82f1187e5a4951c7d7aa, 0xe55fe37b82da99175032107fc9d59b, 0x003742], + ), + F::from_limbs( + [0x36a4cdd6c52bf66dea2db07aecfb2c, 0xb07666086a21dc850dde1ba420a978, 0x00081f], + ), + F::from_limbs( + [0x86ff35293930089215d24e851304d5, 0xf6dcc395132656b4ca29edfdb75bdb, 0x006bcd], + ), + F::from_limbs( + [0xcff89970e84a2fd43576dcf6601f6a, 0x95fd98daca15ee47fe04bc7132137e, 0x0020d0], + ), + F::from_limbs( + [0xedab698f1611cf2bca8922099fe097, 0x115590c2b33244f1da034d30a5f1d4, 0x00531d], + ), + F::from_limbs( + [0x4bf510cf7c7c8c9e768704f04e2b80, 0x2d1b75a1ffc63094c7611bdd129b82, 0x002527], + ), + F::from_limbs( + [0x71aef23081df72618978fa0fb1d481, 0x7a37b3fb7d8202a510a6edc4c569d1, 0x004ec6], + ), + F::from_limbs( + [0xc766da81eb5f3a10cba8cca132a4af, 0x9895da559f7bcc1f97abceafe390c3, 0x002aef], + ), + F::from_limbs( + [0xf63d287e12fcc4ef3457325ecd5b52, 0x0ebd4f47ddcc671a405c3af1f4748f, 0x0048fe], + ), + F::from_limbs( + [0x77ccfd0e68f45d81c3ad1e35f68aa0, 0x04249a2841514c8df7a0b2153271d0, 0x007214], + ), + F::from_limbs( + [0x45d705f19567a17e3c52e0ca097561, 0xa32e8f753bf6e6abe067578ca59383, 0x0001d9], + ), + F::from_limbs( + [0xe42b3486654278312cda878efea016, 0x69b4cb4cf4fafbed3003ef8c3a813e, 0x001cc7], + ), + F::from_limbs( + [0xd978ce79991986ced3257771015feb, 0x3d9e5e50884d374ca8041a159d8414, 0x005726], + ), + F::from_limbs( + [0xdc08ba88d180d93188d4192bcfb84d, 0xa6db496e5b977354760383a269ab6e, 0x001e05], + ), + F::from_limbs( + [0xe19b48772cdb25ce772be5d43047b4, 0x0077e02f21b0bfe5620485ff6e59e4, 0x0055e8], + ), + F::from_limbs( + [0x9617aa98504fbcdf57909bea0a2da4, 0x5272602dee9b726a2311ddae84a49a, 0x005643], + ), + F::from_limbs( + [0x278c5867ae0c4220a86f6315f5d25d, 0x54e0c96f8eacc0cfb4f62bf35360b9, 0x001daa], + ), + F::from_limbs( + [0x74a072f75e1eafc6b7ae4cbe9918df, 0x0ca1fa1ca2ce7bd130433636e1f719, 0x003963], + ), + F::from_limbs( + [0x49039008a03d4f394851b24166e722, 0x9ab12f80da79b768a7c4d36af60e3a, 0x003a8a], + ), + F::from_limbs( + [0x0e4544b75517c16711866509b0117e, 0x8e613f107412f75f355eb5219f4d29, 0x005860], + ), + F::from_limbs( + [0xaf5ebe48a9443d98ee7999f64fee83, 0x18f1ea8d09353bdaa2a9548038b82a, 0x001b8d], + ), + F::from_limbs( + [0x6b2362c6e3206af330c75237fd3287, 0xcf9dbeeb7a113d432c185eaed41723, 0x003918], + ), + F::from_limbs( + [0x5280a0391b3b940ccf38acc802cd7a, 0xd7b56ab20336f5f6abefaaf303ee30, 0x003ad4], + ), + F::from_limbs( + [0xfe6141c56e87705d1a4de431b14902, 0xb6f79972f279436a9109526def19bc, 0x000611], + ), + F::from_limbs( + [0xbf42c13a8fd48ea2e5b21ace4eb6ff, 0xf05b902a8aceefcf46feb733e8eb96, 0x006ddb], + ), + F::from_limbs( + [0x771ac41ed853a25780bbfe03ec55d5, 0xa563d5b51c810b94291b65dd88b855, 0x000bf6], + ), + F::from_limbs( + [0x46893ee126085ca87f4400fc13aa2c, 0x01ef53e860c727a5aeeca3c44f4cfe, 0x0067f7], + ), + F::from_limbs( + [0x3ef3285a12e45cc86a0ebf672f9539, 0x73a1f676d8115d3e5f439eda2e7ab2, 0x001b27], + ), + F::from_limbs( + [0x7eb0daa5eb77a23795f13f98d06ac8, 0x33b13326a536d5fb78c46ac7a98aa1, 0x0058c6], + ), + F::from_limbs( + [0x078bb4a345264200b56e295c87eb31, 0x8d23be8445a567589623fdf89c7c4c, 0x002c63], + ), + F::from_limbs( + [0xb6184e5cb935bcff4a91d5a37814d0, 0x1a2f6b1937a2cbe141e40ba93b8907, 0x00478a], + ), + F::from_limbs( + [0xc428f8a2654518b52166440df9b688, 0x3d89e044cc6c8191cc5fd4eb468731, 0x002ec4], + ), + F::from_limbs( + [0xf97b0a5d9916e64ade99baf2064979, 0x69c94958b0dbb1a80ba834b6917e21, 0x004529], + ), + F::from_limbs( + [0x356a0242c49b8fb3212df6a0e2db64, 0x410905166866b24236a3c7e932fe37, 0x004cde], + ), + F::from_limbs( + [0x883a00bd39c06f4cded2085f1d249d, 0x664a248714e180f7a16441b8a5071c, 0x00270f], + ), + F::from_limbs( + [0x4a92da52332af0b26f1f6b19b802a2, 0x903bb1db99afcd62607b6d2f5a7aed, 0x005ee5], + ), + F::from_limbs( + [0x731128adcb310e4d90e093e647fd5f, 0x171777c1e39865d7778c9c727d8a66, 0x001508], + ), + F::from_limbs( + [0x34b261df65292e9ebf6443bba0f2ed, 0x19bd16418157f24ce6e76cd2d04b7e, 0x0060b4], + ), + F::from_limbs( + [0x88f1a1209932d061409bbb445f0d14, 0x8d96135bfbf040ecf1209ccf07b9d5, 0x001339], + ), + F::from_limbs( + [0x3654f0611097c6b6a28c1f1914c201, 0x62bf4cb52ef4097fce3915c694a5c5, 0x004e30], + ), + F::from_limbs( + [0x874f129eedc438495d73dfe6eb3e00, 0x4493dce84e5429ba09cef3db435f8e, 0x0025bd], + ), + F::from_limbs( + [0xa053141f7d3d7cf9065e7bcadcfc19, 0xb655d0e63d59e74dac8f8f64831f8c, 0x006be1], + ), + F::from_limbs( + [0x1d50eee0811e8206f9a183352303e8, 0xf0fd58b73fee4bec2b787a3d54e5c7, 0x00080b], + ), + F::from_limbs( + [0x1211542079c63a04b57a388ce6c261, 0x7bac5f90a18bb38f7e83bd6db07800, 0x00699e], + ), + F::from_limbs( + [0xab92aedf8495c4fb4a85c673193da0, 0x2ba6ca0cdbbc7faa59844c34278d53, 0x000a4f], + ), + F::from_limbs( + [0x0ee0c64f8b7ac1ff7ba2024a37b7bb, 0x93e4697b1d9ce0c431b6db18076ff9, 0x000834], + ), + F::from_limbs( + [0xaec33cb072e13d00845dfcb5c84846, 0x136ec0225fab5275a6512e89d0955a, 0x006bb9], + ), + F::from_limbs( + [0x01fa182468ba7c595e445abe442dca, 0x879144d0fcd2fcc9670838442647e3, 0x0051e8], + ), + F::from_limbs( + [0xbba9eadb95a182a6a1bba441bbd237, 0x1fc1e4cc8075367070ffd15db1bd70, 0x002205], + ), + F::from_limbs( + [0x9afd4618c5e1bc80afccf22a6f8a52, 0x1540ac49fb06bbc6c6b9a9fc918afb, 0x005101], + ), + F::from_limbs( + [0x22a6bce7387a427f50330cd59075af, 0x92127d5382417773114e5fa5467a58, 0x0022ec], + ), + F::from_limbs( + [0x1ee525b1ec67d1c5c9581135a7ab68, 0x30ea2e1c440d8b23d1f54cdf1fae7b, 0x00349e], + ), + F::from_limbs( + [0x9ebedd4e11f42d3a36a7edca585499, 0x7668fb81393aa8160612bcc2b856d8, 0x003f4f], + ), + F::from_limbs( + [0xae2ac8e1522fb525497b14298a9c76, 0x29bc131a89602fe31e0bda03eafb9b, 0x005ebe], + ), + F::from_limbs( + [0x0f793a1eac2c49dab684ead675638b, 0x7d971682f3e80356b9fc2f9ded09b8, 0x00152f], + ), + F::from_limbs( + [0x5b2f702a43d37b7ab8dac27f3e254c, 0x42d5471bc24662632562d7c80a5369, 0x0064a9], + ), + F::from_limbs( + [0x627492d5ba88838547253c80c1dab5, 0x647de281bb01d0d6b2a531d9cdb1ea, 0x000f44], + ), + F::from_limbs( + [0x77c91e81814f8b58eef8ea01b32225, 0xbbcf1c263cfc2d486a35143271ee7d, 0x003ea3], + ), + F::from_limbs( + [0x45dae47e7d0c73a7110714fe4cdddc, 0xeb840d77404c05f16dd2f56f6616d6, 0x003549], + ), + F::from_limbs( + [0x7e33d54601da6d389208e6356979ab, 0xc09b9fa4dfb218819428c8056d1d39, 0x0028c1], + ), + F::from_limbs( + [0x3f702db9fc8191c76df718ca968656, 0xe6b789f89d961ab843df419c6ae81a, 0x004b2b], + ), + F::from_limbs( + [0xa5905736c46ea4c5475b119e356265, 0xd098fc0f8207b6faf0e0d74f7a1025, 0x00690b], + ), + F::from_limbs( + [0x1813abc939ed5a3ab8a4ed61ca9d9c, 0xd6ba2d8dfb407c3ee72732525df52e, 0x000ae1], + ), + F::from_limbs( + [0xc3720c7bf19f0c42aa886429513423, 0xef4adbfcd69d77f7f625dacb9ddb3b, 0x0045eb], + ), + F::from_limbs( + [0xfa31f6840cbcf2bd55779ad6aecbde, 0xb8084da0a6aabb41e1e22ed63a2a17, 0x002e01], + ), + F::from_limbs( + [0xd1b9212b65bf214e921640c47a0a45, 0xd6554ec4fbad86e639ebf267f538dd, 0x00278f], + ), + F::from_limbs( + [0xebeae1d4989cddb16de9be3b85f5bc, 0xd0fddad8819aac539e1c1739e2cc75, 0x004c5d], + ), + F::from_limbs( + [0x0c31c44ac745f527c512ff22e85c3a, 0x2e4cd97518258238f206e24c0b1c2b, 0x002cbc], + ), + F::from_limbs( + [0xb1723eb5371609d83aecffdd17a3c7, 0x790650286522b100e6012755cce928, 0x004731], + ), + F::from_limbs( + [0x9989268429206117d51008e47afac8, 0x2c5a3a4f9c6aeb6b7a036c657da412, 0x001856], + ), + F::from_limbs( + [0x241adc7bd53b9de82aeff61b850539, 0x7af8ef4de0dd47ce5e049d3c5a6141, 0x005b97], + ), + F::from_limbs( + [0x3c1bffa488ae4c91a9d99c561db4f3, 0x5df95918a808d3a4931256f1413ddf, 0x002162], + ), + F::from_limbs( + [0x8188035b75adb26e562662a9e24b0e, 0x4959d084d53f5f9544f5b2b096c774, 0x00528b], + ), + F::from_limbs( + [0xfb570516b5e5cefc96ef08c768f7bb, 0x202424aab720e62747593b3d0256dd, 0x004ae0], + ), + F::from_limbs( + [0xc24cfde9487630036910f638970846, 0x872f04f2c6274d1290aece64d5ae75, 0x00290d], + ), + F::from_limbs( + [0x6d477b956af945571da68e63a7c767, 0xa9008ab58c52c373a0f84872096ba6, 0x005eed], + ), + F::from_limbs( + [0x505c876a9362b9a8e259709c58389a, 0xfe529ee7f0f56fc6370fc12fce99ad, 0x0014ff], + ), + F::from_limbs( + [0xc5dd2ae9e83d223d69281ae1af9955, 0x35a347e2e5a7d5bf621e6cdc1ff837, 0x00668d], + ), + F::from_limbs( + [0xf7c6d816161edcc296d7e41e5066ac, 0x71afe1ba97a05d7a75e99cc5b80d1b, 0x000d60], + ), + F::from_limbs( + [0xba0324468f865128736875d438f2d6, 0x73380eda1d3ba312905b71fb212d57, 0x001dae], + ), + F::from_limbs( + [0x03a0deb96ed5add78c97892bc70d2b, 0x341b1ac3600c902747ac97a6b6d7fc, 0x00563f], + ), + F::from_limbs( + [0x5e326a7b6d1553fd517bb125e87aa6, 0xbdab877991b02c465a03f89c87977d, 0x000c40], + ), + F::from_limbs( + [0x5f7198849146ab02ae844dda17855b, 0xe9a7a223eb9806f37e041105506dd6, 0x0067ac], + ), + F::from_limbs( + [0x5b47aa7fc702df407a3035875afd49, 0xa961d2308993234e4002f9a199a5c3, 0x004f00], + ), + F::from_limbs( + [0x625c588037591fbf85cfc978a502b8, 0xfdf1576cf3b50feb980510003e5f90, 0x0024ec], + ), + F::from_limbs( + [0xfb9dc693cfbdcbd6d7b660f42ebdf7, 0xe8ad2baf59d5de4ac442c8ffc9599c, 0x004111], + ), + F::from_limbs( + [0xc2063c6c2e9e332928499e0bd1420a, 0xbea5fdee237254ef13c540a20eabb6, 0x0032db], + ), + F::from_limbs( + [0x14d71f3d115d480b10922f5983b2e8, 0x80c524bd040ea27554f6cda2dd8143, 0x0046bf], + ), + F::from_limbs( + [0xa8cce3c2ecfeb6f4ef6dcfa67c4d19, 0x268e04e0793990c483113bfefa8410, 0x002d2e], + ), + F::from_limbs( + [0x8a4ccd5a8ffdaea479ce0adf737d2c, 0x281fc9738b6acf6a3c9e3de03c4b9f, 0x0057b4], + ), + F::from_limbs( + [0x335735a56e5e505b8631f4208c82d5, 0x7f336029f1dd63cf9b69cbc19bb9b4, 0x001c39], + ), + F::from_limbs( + [0xfa9da9aea7b7a807f3949ff7497ac4, 0x94e273230bc82fa52c43468bc2cb46, 0x0067d1], + ), + F::from_limbs( + [0xc306595156a456f80c6b5f08b6853d, 0x1270b67a71800394abc4c316153a0c, 0x000c1c], + ), + F::from_limbs( + [0xf90efcf7889498c0fa84462b5be3f9, 0x506cf5b4ad5c5dfa071dbcb2f776a7, 0x004583], + ), + F::from_limbs( + [0xc495060875c7663f057bb8d4a41c08, 0x56e633e8cfebd53fd0ea4ceee08eab, 0x002e6a], + ), + F::from_limbs( + [0x4bd6bd4ae9ab1cba6dbc0d400aabca, 0x020cfd306c1de084a51cd4d6f9f64b, 0x00678e], + ), + F::from_limbs( + [0x71cd45b514b0e2459243f1bff55437, 0xa5462c6d112a52b532eb34cade0f08, 0x000c5f], + ), + F::from_limbs( + [0xadc30be0afecd9400809b932c038e7, 0x6d07fcafce4a9a767be86caf30f381, 0x0063a0], + ), + F::from_limbs( + [0x0fe0f71f4e6f25bff7f645cd3fc71a, 0x3a4b2cedaefd98c35c1f9cf2a711d2, 0x00104d], + ), + F::from_limbs( + [0xfe8d47e5eb3bac52f1982243ace47a, 0xd6124eee8fcbbcf665d106968cdd39, 0x0039da], + ), + F::from_limbs( + [0xbf16bb1a132052ad0e67dcbc531b87, 0xd140daaeed7c76437237030b4b2819, 0x003a12], + ), + F::from_limbs( + [0x8b5ce291f218c9dd74958e6cca1c43, 0x7e5763a2583ce605c2850effefc8c8, 0x00144b], + ), + F::from_limbs( + [0x3247206e0c4335228b6a709335e3be, 0x28fbc5fb250b4d341582faa1e83c8b, 0x005fa2], + ), + F::from_limbs( + [0x2e5e696f842cffe144608f74eaac1b, 0x8fb393a3ab78c209cb769b65fa1ebe, 0x0030f6], + ), + F::from_limbs( + [0x8f4599907a2eff1ebb9f6f8b1553e6, 0x179f95f9d1cf71300c916e3bdde695, 0x0042f7], + ), + F::from_limbs( + [0xa5b8d3dda353e8a443e6dbbea71c3d, 0x4da2acaeebdd573de9e05c005ca05c, 0x003e26], + ), + F::from_limbs( + [0x17eb2f225b08165bbc19234158e3c4, 0x59b07cee916adbfbee27ada17b64f7, 0x0035c7], + ), + F::from_limbs( + [0x78b65b0a65311a96bd8776dcb3a3de, 0x40eea7b1a760a3c8fb7b4ca1b1ceb3, 0x000c7f], + ), + F::from_limbs( + [0x44eda7f5992ae469427888234c5c23, 0x666481ebd5e78f70dc8cbd002636a0, 0x00676e], + ), + F::from_limbs( + [0xdc89a891d9f52411e9aa243ff64fb7, 0xf8687719af42f436be5744d2fd476f, 0x0005fd], + ), + F::from_limbs( + [0xe11a5a6e2466daee1655dac009b04a, 0xaeeab283ce053f0319b0c4cedabde3, 0x006def], + ), + F::from_limbs( + [0xa76a4d12a65a59e004a8616ad310f0, 0xdcd7f3e6f15ec6c4f5b601e21ff0d9, 0x0016c4], + ), + F::from_limbs( + [0x1639b5ed5801a51ffb579d952cef11, 0xca7b35b68be96c74e25207bfb8147a, 0x005d28], + ), + F::from_limbs( + [0x0467bb084c964790407b4446e144b0, 0x40ff209302f1e88adcdbbfcc7732aa, 0x004269], + ), + F::from_limbs( + [0xb93c47f7b1c5b76fbf84bab91ebb51, 0x6654090a7a564aaefb2c49d560d2a9, 0x003184], + ), + F::from_limbs( + [0x7f89984e1f494bd58aa66bb4834fd9, 0xf85ceb431b3e231aa97f1b81adbf24, 0x000a1c], + ), + F::from_limbs( + [0x3e1a6ab1df12b32a7559934b7cb028, 0xaef63e5a620a101f2e88ee202a462f, 0x0069d0], + ), + F::from_limbs( + [0x6e71b10378df567095602a91bfeb57, 0x333f31a2b277845fe7e2ace6ee7a68, 0x0068bf], + ), + F::from_limbs( + [0x4f3251fc857ca88f6a9fd46e4014aa, 0x7413f7facad0aed9f0255cbae98aeb, 0x000b2e], + ), + F::from_limbs( + [0x72e12d4ef7b1bc1d048d5e4c8f92d5, 0x1919c9e42d245edfec475cd95fd90c, 0x0006dd], + ), + F::from_limbs( + [0x4ac2d5b106aa42e2fb72a0b3706d2c, 0x8e395fb95023d459ebc0acc8782c47, 0x006d10], + ), + F::from_limbs( + [0xa6caeec0019cce89f8a28c04b02908, 0x4254d49cb10f9468da4449c73ffa3f, 0x002507], + ), + F::from_limbs( + [0x16d9143ffcbf3076075d72fb4fd6f9, 0x64fe5500cc389ed0fdc3bfda980b14, 0x004ee6], + ), + F::from_limbs( + [0x7678b48bb1db8fb4bd8e160157197c, 0x9af535ae0e253b310b396831542a11, 0x004279], + ), + F::from_limbs( + [0x472b4e744c806f4b4271e8fea8e685, 0x0c5df3ef6f22f808cccea17083db42, 0x003174], + ), + F::from_limbs( + [0xc281a93aef62e96137a691be2497f9, 0xd3cb28a3b5a16588627f08e73b1b20, 0x004bab], + ), + F::from_limbs( + [0xfb2259c50ef9159ec8596d41db6808, 0xd38800f9c7a6cdb1758900ba9cea32, 0x002841], + ), + F::from_limbs( + [0xf4c10059af274ee2cc0434baf3e2fb, 0xd18546fdbca8764eb4562d580122db, 0x001aec], + ), + F::from_limbs( + [0xc8e302a64f34b01d33fbca450c1d06, 0xd5cde29fc09fbceb23b1dc49d6e277, 0x005900], + ), + F::from_limbs( + [0x2d6fb35a5cecb4467864c0e822f4f6, 0x40d594cfa384a9b31eb7a0574d1a1c, 0x001a4b], + ), + F::from_limbs( + [0x90344fa5a16f4ab9879b3e17dd0b0b, 0x667d94cdd9c38986b950694a8aeb37, 0x0059a2], + ), + F::from_limbs( + [0x0048cde3a189929b8c6581b7a57bb6, 0xc9c6a859b493283d27539aa3079e7e, 0x001a9f], + ), + F::from_limbs( + [0xbd5b351c5cd26c64739a7d485a844b, 0xdd8c8143c8b50afcb0b46efed066d5, 0x00594d], + ), + F::from_limbs( + [0x901f632ec9e7867e4f0728f664f220, 0x29d3d7d78713ff0e7a5f644cc3151a, 0x00256e], + ), + F::from_limbs( + [0x2d849fd134747881b0f8d6099b0de1, 0x7d7f51c5f634342b5da8a55514f039, 0x004e7f], + ), + F::from_limbs( + [0x8f4de46dd12913aa9ae8a21f3d3b2a, 0xc598ec5b2425c7cd9306078735756a, 0x006528], + ), + F::from_limbs( + [0x2e561e922d32eb5565175ce0c2c4d7, 0xe1ba3d4259226b6c4502021aa28fe9, 0x000ec4], + ), + F::from_limbs( + [0x13ba7565944c5b1543c85450272199, 0xf3850c2463a95f9cce23d45411857f, 0x00207f], + ), + F::from_limbs( + [0xa9e98d9a6a0fa3eabc37aaafd8de68, 0xb3ce1d79199ed39d09e4354dc67fd4, 0x00536d], + ), + F::from_limbs( + [0x46eb57ea4ac470f442b205efee0514, 0x43f88c427dfaf9484c246f79adca12, 0x00333c], + ), + F::from_limbs( + [0x76b8ab15b3978e0bbd4df91011faed, 0x635a9d5aff4d39f18be39a282a3b41, 0x0040b1], + ), + F::from_limbs( + [0xd2b436f50932afdcd4eae782b30688, 0x64dd8e54b387f9512866d3f7d41f14, 0x000837], + ), + F::from_limbs( + [0xeaefcc0af5294f232b15177d4cf979, 0x42759b48c9c039e8afa135aa03e63e, 0x006bb6], + ), + F::from_limbs( + [0x99d9214c68d624dc714980be571087, 0x9f73e4a877e46ea11c8dfdfe84358b, 0x001f19], + ), + F::from_limbs( + [0x23cae1b39585da238eb67e41a8ef7a, 0x07df44f50563c498bb7a0ba353cfc8, 0x0054d4], + ), + F::from_limbs( + [0x399fcbaaa521a98ea8afae00d170ae, 0x373c48aa371fc73ef01e4237d0cd62, 0x004d0a], + ), + F::from_limbs( + [0x84043755593a5571575050ff2e8f53, 0x7016e0f346286bfae7e9c76a0737f1, 0x0026e3], + ), + F::from_limbs( + [0x500eb02ee2d9b63e9fe4a0fd9609b0, 0x23d941e9787714e54cb0055d4e79e0, 0x0034ae], + ), + F::from_limbs( + [0x6d9552d11b8248c1601b5e0269f651, 0x8379e7b404d11e548b580444898b73, 0x003f3f], + ), + F::from_limbs( + [0x352480fa0142bbab3354b95ae621bc, 0x5126bd58cd82930f5e8f92bf19b8f0, 0x000cc6], + ), + F::from_limbs( + [0x887f8205fd194354ccab45a519de45, 0x562c6c44afc5a02a797876e2be4c63, 0x006727], + ), + F::from_limbs( + [0x62ded52fd700885ee20c0dd1b4a838, 0x1c067801129b35ed2aecb3a3c45a67, 0x00368a], + ), + F::from_limbs( + [0x5ac52dd0275b76a11df3f12e4b57c9, 0x8b4cb19c6aacfd4cad1b55fe13aaec, 0x003d63], + ), + F::from_limbs( + [0x66e7055dd8b9a9362010e8b6f2fca0, 0xb1192af8a686ae9351a4b09f45cf52, 0x006626], + ), + F::from_limbs( + [0x56bcfda225a255c9dfef16490d0361, 0xf639fea4d6c184a686635902923601, 0x000dc6], + ), + F::from_limbs( + [0x829fa9756239065149e6b135daad43, 0x1d92c648e00ac9797442364e2a520c, 0x0042df], + ), + F::from_limbs( + [0x3b04598a9c22f8aeb6194dca2552be, 0x89c063549d3d69c063c5d353adb347, 0x00310e], + ), + F::from_limbs( + [0x039c93ab01de8dc45d6a0ee42c235e, 0xe9a05d32ae0c342f0b767f189f73b8, 0x005802], + ), + F::from_limbs( + [0xba076f54fc7d713ba295f01bd3dca3, 0xbdb2cc6acf3bff0acc918a8938919b, 0x001bea], + ), + F::from_limbs( + [0x607690dcfab6e9e6e915abaf97bc2d, 0x7a3834c2b60b8fa3fe5f9b3c8ae049, 0x000023], + ), + F::from_limbs( + [0x5d2d722303a5151916ea53506843d4, 0x2d1af4dac73ca395d9a86e654d250a, 0x0073ca], + ), + F::from_limbs( + [0xf7e8d06558cc09c2361a9ef0904d55, 0xcd45c3e35c09548b704bd2ae612416, 0x003a9d], + ), + F::from_limbs( + [0xc5bb329aa58ff53dc9e5600f6fb2ac, 0xda0d65ba213edeae67bc36f376e13c, 0x00394f], + ), + F::from_limbs( + [0x366ec9858bbf6c69998015cfb618f9, 0x55e541519389f820338273189ec513, 0x0070c9], + ), + F::from_limbs( + [0x8735397a729c9296667fe93049e708, 0x516de84be9be3b19a4859689394040, 0x000324], + ), + F::from_limbs( + [0x991a8549b179952dfc1c048b1eebba, 0x4c4e68daaf27eca0d4a90b42cef9db, 0x002fd7], + ), + F::from_limbs( + [0x24897db64ce269d203e3fa74e11447, 0x5b04c0c2ce204699035efe5f090b78, 0x004416], + ), + F::from_limbs( + [0xaa6d581ed2c4bd1bfec4e31db595da, 0x7d5b0ed096e4303bd342e46dae0b30, 0x000674], + ), + F::from_limbs( + [0x1336aae12b9741e4013b1be24a6a27, 0x29f81acce66402fe04c5253429fa23, 0x006d79], + ), + F::from_limbs( + [0x81e1b366348d59d5008b415742cf2c, 0x1de08c44b05c5f9615ada1567cea0f, 0x001a24], + ), + F::from_limbs( + [0x3bc24f99c9cea52aff74bda8bd30d5, 0x89729d58ccebd3a3c25a684b5b1b44, 0x0059c9], + ), + F::from_limbs( + [0xe75b2f9b862e777f2812860a5e7bf6, 0x603dcb33a8f035c2af174b0de333ac, 0x002fce], + ), + F::from_limbs( + [0xd648d364782d8780d7ed78f5a1840b, 0x47155e69d457fd7728f0be93f4d1a6, 0x00441f], + ), + F::from_limbs( + [0x192102577134b3fe804b693688c917, 0x152542076b192914da850aa8c1ca1b, 0x003d77], + ), + F::from_limbs( + [0xa48300a88d274b017fb495c97736ea, 0x922de796122f0a24fd82fef9163b38, 0x003676], + ), + F::from_limbs( + [0xf4bccd99cb9046c44608878e56b18d, 0xe4da84bd62fbae9aa110d4844095c6, 0x001266], + ), + F::from_limbs( + [0xc8e7356632cbb83bb9f77771a94e74, 0xc278a4e01a4c849f36f7351d976f8c, 0x006186], + ), + F::from_limbs( + [0x311fa027a0f568823cb99f2c17bdcd, 0xf7cf11927e6353a2ae829e2dd36e96, 0x0072d2], + ), + F::from_limbs( + [0x8c8462d85d66967dc3465fd3e84234, 0xaf84180afee4df9729856b740496bd, 0x00011a], + ), + F::from_limbs( + [0x5c255fec426d8cdc8023c433014b7a, 0x1125fb8d170db8f63036640b7cfca4, 0x005ec0], + ), + F::from_limbs( + [0x617ea313bbee72237fdc3accfeb487, 0x962d2e10663a7a43a7d1a5965b08af, 0x00152d], + ), + F::from_limbs( + [0x234cc83e129d05cac696b0e5c3fcac, 0xfeb419a46ea5fcd501b9c2cf437010, 0x001c0a], + ), + F::from_limbs( + [0x9a573ac1ebbef93539694e1a3c0355, 0xa89f0ff90ea23664d64e46d2949543, 0x0057e2], + ), + F::from_limbs( + [0xe716e0f033f72b72498848fbc00998, 0xd0588d6029adaf665203abefaf0457, 0x001323], + ), + F::from_limbs( + [0xd68d220fca64d38db677b6043ff669, 0xd6fa9c3d539a83d386045db22900fb, 0x0060c9], + ), + F::from_limbs( + [0xa69c5cb7b5339c8b28202568c1191a, 0x7473aec107d89fd3fc0a318afa7228, 0x0010f4], + ), + F::from_limbs( + [0x1707a64849286274d7dfd9973ee6e7, 0x32df7adc756f9365dbfdd816dd932b, 0x0062f9], + ), + F::from_limbs( + [0x181f2d5d9e2a131245b9b503b948f7, 0x10fc1f1f45c512e78cf448f8beafff, 0x004bab], + ), + F::from_limbs( + [0xa584d5a26031ebedba4649fc46b70a, 0x96570a7e378320524b13c0a9195554, 0x002842], + ), + F::from_limbs( + [0x899c749fdaf665bc1548facb7b03c5, 0xc7d005315cea488effc435dd9245f1, 0x0047e6], + ), + F::from_limbs( + [0x34078e6023659943eab7043484fc3c, 0xdf83246c205deaaad843d3c445bf62, 0x002c06], + ), + F::from_limbs( + [0x980680010107783cd0d52868bd62f1, 0xff4f2394b51c1d27378dd579388bb1, 0x001b6d], + ), + F::from_limbs( + [0x259d82fefd5486c32f2ad697429d10, 0xa8040608c82c1612a07a34289f79a2, 0x00587f], + ), + F::from_limbs( + [0x0fda5051a37d3acd0cf163f403c594, 0x25d07b49a277db8a3197f6667f0a7c, 0x000aa3], + ), + F::from_limbs( + [0xadc9b2ae5adec432f30e9b0bfc3a6d, 0x8182ae53dad057afa670133b58fad7, 0x00694a], + ), + F::from_limbs( + [0xc4daee200c52605c067d108a5ba95a, 0x92c2bf28e2003a96940c094299dc62, 0x002976], + ), + F::from_limbs( + [0xf8c914dff2099ea3f982ee75a456a7, 0x14906a749b47f8a343fc005f3e28f0, 0x004a77], + ), + F::from_limbs( + [0xde75070be93e05f8f3ba3d42f36d2c, 0xd5e4479c8df0ecb3f50fb0f21337d1, 0x002414], + ), + F::from_limbs( + [0xdf2efbf4151df9070c45c1bd0c92d5, 0xd16ee200ef574685e2f858afc4cd81, 0x004fd8], + ), + F::from_limbs( + [0xf7bca4242070fcbc79729bfc181d87, 0xb15ea032d2eb3432303860656bc2eb, 0x004e23], + ), + F::from_limbs( + [0xc5e75edbddeb0243868d6303e7e27a, 0xf5f4896aaa5cff07a7cfa93c6c4267, 0x0025c9], + ), + F::from_limbs( + [0x5ef5e86046408143a898fb31c9c4ee, 0x91addd75800726e4c08df8991f67a0, 0x0056bd], + ), + F::from_limbs( + [0x5eae1a9fb81b7dbc576703ce363b13, 0x15a54c27fd410c55177a1108b89db3, 0x001d30], + ), + F::from_limbs( + [0x6e588415ecaa66b136effd3f67e4f0, 0xd8fd7bb9852f096506fcb28d9b7cf6, 0x0038ce], + ), + F::from_limbs( + [0x4f4b7eea11b1984ec91001c0981b11, 0xce55ade3f81929d4d10b57143c885d, 0x003b1e], + ), + F::from_limbs( + [0x8f36cb9e84d1b1630642f16c936994, 0xe75a382cbf2e02f0663c969124c698, 0x0067dc], + ), + F::from_limbs( + [0x2e6d3761798a4d9cf9bd0d936c966d, 0xbff8f170be1a304971cb7310b33ebb, 0x000c10], + ), + F::from_limbs( + [0xc391a44d095efb7975e7721deb1be9, 0xd069b7229003170842e6e017c538ea, 0x001403], + ), + F::from_limbs( + [0xfa125eb2f4fd03868a188ce214e418, 0xd6e9727aed451c319521298a12cc68, 0x005fe9], + ), + F::from_limbs( + [0x51d7689baf0f40f6c18c8d1ea26560, 0xb6ddd5775cb0f1982c73f8102e9d6d, 0x001b19], + ), + F::from_limbs( + [0x6bcc9a644f4cbe093e7371e15d9aa1, 0xf0755426209741a1ab941191a967e6, 0x0058d3], + ), + F::from_limbs( + [0xb10ea7a313f73e11fa377f6160c3e7, 0xf76f040b0a89bed4581761f087904e, 0x00346e], + ), + F::from_limbs( + [0x0c955b5cea64c0ee05c87f9e9f3c1a, 0xafe4259272be74657ff0a7b1507505, 0x003f7e], + ), + F::from_limbs( + [0xd73d5d3d1ebf4c2b27692f9d97b929, 0xc253a232e71502e1414cf60bcb7626, 0x004dd4], + ), + F::from_limbs( + [0xe666a5c2df9cb2d4d896cf626846d8, 0xe4ff876a9633305896bb13960c8f2c, 0x002618], + ), + F::from_limbs( + [0x01ab792405734124e37d7512d665de, 0x4efd72d699b6ad23b531fa5e728f48, 0x00502a], + ), + F::from_limbs( + [0xbbf889dbf8e8bddb1c8289ed299a23, 0x5855b6c6e391861622d60f4365760b, 0x0023c3], + ), + F::from_limbs( + [0x04625fcd552eb47e4f18a74d8f0ffc, 0x74e27cad0a2c5df5679e2874a63c51, 0x001b14], + ), + F::from_limbs( + [0xb941a332a92d4a81b0e757b270f005, 0x3270acf0731bd5447069e12d31c902, 0x0058d9], + ), + F::from_limbs( + [0x128954af94fd14686873f8ebe729d3, 0xaf07783cd487ebc8683b74daafca98, 0x0067d2], + ), + F::from_limbs( + [0xab1aae50695eea97978c061418d62e, 0xf84bb160a8c047716fcc94c7283abb, 0x000c1a], + ), + F::from_limbs( + [0x39c3bd751f2997989a8b21cb4b1481, 0xb14019f2da1c4b94376b4bf82d9ec8, 0x001e87], + ), + F::from_limbs( + [0x83e0458adf3267676574dd34b4eb80, 0xf6130faaa32be7a5a09cbda9aa668b, 0x005565], + ), + F::from_limbs( + [0x224e8044fb9b302d358051fe142663, 0x7e5dd2080df78bfe971e712d186e0a, 0x0041ee], + ), + F::from_limbs( + [0x9b5582bb02c0ced2ca7fad01ebd99e, 0x28f557956f50a73b40e99874bf9749, 0x0031ff], + ), + F::from_limbs( + [0x266e7302d6261ee8604ef138481f67, 0x4af099edb3d6b0bba73275b4fd222d, 0x003fb0], + ), + F::from_limbs( + [0x97358ffd2835e0179fb10dc7b7e09a, 0x5c628fafc971827e30d593ecdae326, 0x00343d], + ), + F::from_limbs( + [0xcd04d4f26b49a51297254297f78ee1, 0x396fe69b76655402529839aa08e182, 0x0029a6], + ), + F::from_limbs( + [0xf09f2e0d931259ed68dabc68087120, 0x6de3430206e2df37856fcff7cf23d0, 0x004a47], + ), + F::from_limbs( + [0x9a0420135c1e74d004fced7127bbd0, 0xfdaea9b84859439bb05a2196d21ca9, 0x006730], + ), + F::from_limbs( + [0x239fe2eca23d8a2ffb03118ed84431, 0xa9a47fe534eeef9e27ade80b05e8aa, 0x000cbc], + ), + F::from_limbs( + [0x9389ca095aa500706ae67706c752d6, 0x240d9f9006949ad4f83cf67b6dbbbc, 0x00710a], + ), + F::from_limbs( + [0x2a1a38f6a3b6fe8f951987f938ad2b, 0x83458a0d76b39864dfcb13266a4997, 0x0002e3], + ), + F::from_limbs( + [0x3128560305c8ef5a2396bbf9697fb6, 0xccabef53799b1e88e1d0d1f0dc5dc7, 0x003bc4], + ), + F::from_limbs( + [0x8c7bacfcf8930fa5dc69430696804b, 0xdaa73a4a03ad14b0f63737b0fba78c, 0x003828], + ), + F::from_limbs( + [0x7bdee41758cacac6c8da15682a43ad, 0xa255a42715a228e1ce9a9398792771, 0x0061ed], + ), + F::from_limbs( + [0x41c51ee8a59134393725e997d5bc54, 0x04fd857667a60a58096d76095edde2, 0x001200], + ), + F::from_limbs( + [0x36460c54463cd8f3645a8d9dd0449e, 0xc5e63ebd7c87a1375287bdfc69b2e7, 0x005f7a], + ), + F::from_limbs( + [0x875df6abb81f260c9ba571622fbb63, 0xe16ceae000c0920285804ba56e526c, 0x001472], + ), + F::from_limbs( + [0xe527d3c618bd91111135e45e927581, 0x651a3c71c35b24f44b3cbdee5bb69e, 0x0034e9], + ), + F::from_limbs( + [0xd87c2f39e59e6deeeeca1aa16d8a80, 0x4238ed2bb9ed0e458ccb4bb37c4eb4, 0x003f04], + ), + F::from_limbs( + [0x14bad0bf6f6300650f9beee20b5515, 0xe269c37d4d8412f381403b89980ee9, 0x00217b], + ), + F::from_limbs( + [0xa8e932408ef8fe9af064101df4aaec, 0xc4e966202fc4204656c7ce183ff66a, 0x005271], + ), + F::from_limbs( + [0x762a4c86bee8123a5f306e81360e77, 0x7337cf2dbc5743ce881218684db954, 0x0009e9], + ), + F::from_limbs( + [0x4779b6793f73ecc5a0cf907ec9f18a, 0x341b5a6fc0f0ef6b4ff5f1398a4bff, 0x006a04], + ), + F::from_limbs( + [0x9937ed82cb4a9fc76cd46491730168, 0xdc87d269cdd4133553ee41427fca0f, 0x001f19], + ), + F::from_limbs( + [0x246c157d33115f38932b9a6e8cfe99, 0xcacb5733af7420048419c85f583b44, 0x0054d3], + ), + F::from_limbs( + [0x56d7ccb64bbb09a91f10acaa57449b, 0x3d85d572d287a73bb732faaf08a75a, 0x004c45], + ), + F::from_limbs( + [0x66cc3649b2a0f556e0ef5255a8bb66, 0x69cd542aaac08bfe20d50ef2cf5df9, 0x0027a8], + ), + F::from_limbs( + [0x6f93db2578f813a18e4c1292f11cf2, 0x1640b859af326965abb4bbaf508f24, 0x003059], + ), + F::from_limbs( + [0x4e1027da8563eb5e71b3ec6d0ee30f, 0x91127143ce15c9d42c534df287762f, 0x004394], + ), + F::from_limbs( + [0x60ca413c1470f069cd62c92c7d3417, 0x0c87494cf671479a275b158a6c0d06, 0x006c26], + ), + F::from_limbs( + [0x5cd9c1c3e9eb0e96329d35d382cbea, 0x9acbe05086d6eb9fb0acf4176bf84d, 0x0007c7], + ), + F::from_limbs( + [0xb124828724cb9e6154c10541689b3b, 0x28ea95e4e4c038654cd2bddea77d27, 0x005169], + ), + F::from_limbs( + [0x0c7f8078d990609eab3ef9be9764c6, 0x7e6893b89887fad48b354bc330882c, 0x002284], + ), + F::from_limbs( + [0xd65e0a886ccc459e92185783bbf588, 0xf9623fbe85bf577afaa3b0aa4366e4, 0x003525], + ), + F::from_limbs( + [0xe745f877918fb9616de7a77c440a79, 0xadf0e9def788dbbedd6458f7949e6e, 0x003ec7], + ), + F::from_limbs( + [0x39b33948d004277c7c788388618a21, 0xd5d37bc89361ba87d73f16df38f517, 0x00166f], + ), + F::from_limbs( + [0x83f0c9b72e57d78383877b779e75e0, 0xd17fadd4e9e678b200c8f2c29f103c, 0x005d7d], + ), + F::from_limbs( + [0x0184807cbb3ccd17563741f5395c61, 0x191d96a87bdcf9bfabd2f465302102, 0x002917], + ), + F::from_limbs( + [0xbc1f8283431f31e8a9c8bd0ac6a3a0, 0x8e3592f5016b397a2c35153ca7e451, 0x004ad6], + ), + F::from_limbs( + [0x70b480ff3c8ada180c9ea7df3e2e1c, 0xb24c47cd173318b38cd42c7775b82f, 0x006df1], + ), + F::from_limbs( + [0x4cef8200c1d124e7f3615720c1d1e5, 0xf506e1d066151a864b33dd2a624d24, 0x0005fb], + ), + F::from_limbs( + [0xe0618f7723728fadfafe11076f83fb, 0xb65b78377562265e0e278de1545148, 0x0033f7], + ), + F::from_limbs( + [0xdd427388dae96f520501edf8907c06, 0xf0f7b16607e60cdbc9e07bc083b40a, 0x003ff5], + ), + F::from_limbs( + [0xe5d866c41107068d880fd835f7e59c, 0xfd30fb91fe1846ee4785af0c016f5e, 0x000ff9], + ), + F::from_limbs( + [0xd7cb9c3bed54f87277f026ca081a65, 0xaa222e0b7f2fec4b90825a95d695f4, 0x0063f3], + ), + F::from_limbs( + [0xb426361576c9da4906585ea02264ed, 0x7eb308dc00235023c5a79a89d2bbdf, 0x0032a6], + ), + F::from_limbs( + [0x097dccea879224b6f9a7a05fdd9b14, 0x28a020c17d24e31612606f18054974, 0x004147], + ), + F::from_limbs( + [0xa8b71686c297c367949e884db344bf, 0xdc7f753c1d55d80c7e16600602f704, 0x00100d], + ), + F::from_limbs( + [0x14ecec793bc43b986b6176b24cbb42, 0xcad3b4615ff25b2d59f1a99bd50e4f, 0x0063df], + ), + F::from_limbs( + [0xc575ec1a329a5541f33ede3b9f9399, 0x7826ed24369781fc49d19b208571ff, 0x002b29], + ), + F::from_limbs( + [0xf82e16e5cbc1a9be0cc120c4606c68, 0x2f2c3c7946b0b13d8e366e81529353, 0x0048c4], + ), + F::from_limbs( + [0xd485c1f50cc769de0283afe1cb6584, 0x56553e601b81d52738de72cd45e191, 0x005dda], + ), + F::from_limbs( + [0xe91e410af1949521fd7c4f1e349a7d, 0x50fdeb3d61c65e129f2996d49223c1, 0x001613], + ), + F::from_limbs( + [0x1fe5a5c8cfa8db155697e920b8c870, 0x4ccf3a7b715b6346c4d279d010a3a4, 0x000160], + ), + F::from_limbs( + [0x9dbe5d372eb323eaa96815df473791, 0x5a83ef220beccff313358fd1c761af, 0x00728d], + ), + F::from_limbs( + [0x99795435ca67fef6cc5689c1f540e1, 0x2cd7cfa083667322f2be809c88ff9b, 0x001572], + ), + F::from_limbs( + [0x242aaeca33f4000933a9753e0abf20, 0x7a7b59fcf9e1c016e54989054f05b8, 0x005e7b], + ), + F::from_limbs( + [0xba3d2b430423bbd2fee202f8577732, 0x8b74a34e54522dfa0d10e94de8286c, 0x002fb5], + ), + F::from_limbs( + [0x0366d7bcfa38432d011dfc07a888cf, 0x1bde864f28f6053fcaf72053efdce7, 0x004438], + ), + F::from_limbs( + [0xdbc3b2b164561896ce8e2e452c03e9, 0x67d41c98b8fa9829526ed6eec7578b, 0x0043ec], + ), + F::from_limbs( + [0xe1e0504e9a05e6693171d0bad3fc18, 0x3f7f0d04c44d9b10859932b310adc7, 0x003001], + ), + F::from_limbs( + [0x3a3bcba4e33b5f6e7f2a73337c97eb, 0xb18d510dd282977c9c840d057bc4a8, 0x0012ad], + ), + F::from_limbs( + [0x8368375b1b209f9180d58bcc836816, 0xf5c5d88faac59bbd3b83fc9c5c40ab, 0x00613f], + ), + F::from_limbs( + [0x546f42d2f2136ab70c1a97d4a5a28b, 0x519305a6a34d00a54824fbd3c944df, 0x0032b8], + ), + F::from_limbs( + [0x6934c02d0c489448f3e5672b5a5d76, 0x55c023f6d9fb32948fe30dce0ec074, 0x004135], + ), + F::from_limbs( + [0x565938c72e8dc88dd6a6cbf1ff3e4a, 0xdbdc2c56cc7d4b28d83b2561c2568a, 0x002e17], + ), + F::from_limbs( + [0x674aca38cfce36722959330e00c1b7, 0xcb76fd46b0cae810ffcce44015aec9, 0x0045d5], + ), + F::from_limbs( + [0x77ba8dbe3dfb062809456c05e23c98, 0x14671281b8a4b1b3a9be35f3271afe, 0x001935], + ), + F::from_limbs( + [0x45e97541c060f8d7f6ba92fa1dc369, 0x92ec171bc4a381862e49d3aeb0ea55, 0x005ab8], + ), + F::from_limbs( + [0x1096f45046dd52a99f6a0d133d06aa, 0x861a7b23584626170d92377f7b5e79, 0x004ed7], + ), + F::from_limbs( + [0xad0d0eafb77eac566095f1ecc2f957, 0x2138ae7a25020d22ca75d2225ca6da, 0x002516], + ), + F::from_limbs( + [0xe1ab1e5b93f822d0b94eb237110d9f, 0x5fa125e49db89d2655af277ba7868c, 0x0069f2], + ), + F::from_limbs( + [0xdbf8e4a46a63dc2f46b14cc8eef262, 0x47b203b8df8f96138258e226307ec6, 0x0009fb], + ), + F::from_limbs( + [0x6db8fecb665fa64c727ae95a4f1504, 0x4de5de9d149d0992379cc3665e3b80, 0x006d5c], + ), + F::from_limbs( + [0x4feb043497fc58b38d8515a5b0eafd, 0x596d4b0068ab29a7a06b463b79c9d3, 0x000691], + ), + F::from_limbs( + [0x62eebd2d2d03301254d2facb9c65ec, 0x9789160e7b8c0fe7473fe43df5ffa2, 0x000707], + ), + F::from_limbs( + [0x5ab545d2d158ceedab2d0434639a15, 0x0fca138f01bc235290c82563e205b1, 0x006ce6], + ), + F::from_limbs( + [0x34fabfe22bf195070a40826b0a8a22, 0x496805d716afcfe47a545cdc549868, 0x0045de], + ), + F::from_limbs( + [0x88a9431dd26a69f8f5bf7c94f575df, 0x5deb23c6669863555db3acc5836ceb, 0x002e0f], + ), + F::from_limbs( + [0x8e36a4f207ed7934afa23e4d664fb9, 0xe13b38a0e39adb1535f05011c0f97d, 0x001f5f], + ), + F::from_limbs( + [0x2f6d5e0df66e85cb505dc0b299b048, 0xc617f0fc99ad5824a217b990170bd6, 0x00548d], + ), + F::from_limbs( + [0x0efba3add1439fcda6025fcec5f85e, 0x23e39e3bddb85c5f7c6f1f39bb4a43, 0x004172], + ), + F::from_limbs( + [0xaea85f522d185f3259fd9f313a07a3, 0x836f8b619f8fd6da5b98ea681cbb10, 0x00327b], + ), + F::from_limbs( + [0x50fd367a04217a99f8b35c4feecc72, 0x3aeef6d281f2894bb176dc6c03beb7, 0x0000fa], + ), + F::from_limbs( + [0x6ca6cc85fa3a8466074ca2b011338f, 0x6c6432cafb55a9ee26912d35d4469c, 0x0072f3], + ), + F::from_limbs( + [0x3abeed94b4f1634be87dab9013c5e6, 0x7c84cd1b601bec56a6760508dcf493, 0x002bd5], + ), + F::from_limbs( + [0x82e5156b496a9bb41782536fec3a1b, 0x2ace5c821d2c46e331920498fb10c0, 0x004818], + ), + F::from_limbs( + [0x8726c067a90bbe12024f89b257ee62, 0x2e08318aeeacb408378170769053cb, 0x006b7e], + ), + F::from_limbs( + [0x367d4298555040edfdb0754da8119f, 0x794af8128e9b7f31a086992b47b188, 0x00086f], + ), + F::from_limbs( + [0xd18fa289732f688a5ee031a9245ad3, 0xbc0e64c9d219a8d562efc8186a2d24, 0x002969], + ), + F::from_limbs( + [0xec1460768b2c9675a11fcd56dba52e, 0xeb44c4d3ab2e8a64751841896dd82e, 0x004a83], + ), + F::from_limbs( + [0x427c3d5132b42adb5bf0d17886f914, 0x1b7bf18b694222c41c5896457592c9, 0x0009bb], + ), + F::from_limbs( + [0x7b27c5aecba7d424a40f2d877906ed, 0x8bd7381214061075bbaf735c62728a, 0x006a32], + ), + F::from_limbs( + [0xf4a328d6df60c441d4d6f8a6035ba1, 0x0e4e224ed50ccd12172874ef649f75, 0x0015ff], + ), + F::from_limbs( + [0xc900da291efb3abe2b290659fca460, 0x9905074ea83b6627c0df94b27365dd, 0x005dee], + ), + F::from_limbs( + [0x32eadeb2eaebb63bfd3383d2361246, 0xc05b04c9044fc6c5f0964c53353c45, 0x004c30], + ), + F::from_limbs( + [0x8ab9244d137048c402cc7b2dc9edbb, 0xe6f824d478f86c73e771bd4ea2c90e, 0x0027bc], + ), + F::from_limbs( + [0xe64e1a0d2e560d6e1499e715bda543, 0x278c6eed86f45ec8092b13ec8a7ecd, 0x00484d], + ), + F::from_limbs( + [0xd755e8f2d005f191eb6617ea425abe, 0x7fc6baaff653d471cedcf5b54d8685, 0x002ba0], + ), + F::from_limbs( + [0xa2a69107b6a980b482447428fa23ee, 0x7561de37d95e60cd66c57736477daa, 0x001a2c], + ), + F::from_limbs( + [0x1afd71f847b27e4b7dbb8ad705dc13, 0x31f14b65a3e9d26c7142926b9087a9, 0x0059c1], + ), + F::from_limbs( + [0x34a8335508915c9da5d0cc12724318, 0x78fad28e89573fde62c6b46b658a0f, 0x00242c], + ), + F::from_limbs( + [0x88fbcfaaf5caa2625a2f32ed8dbce9, 0x2e58570ef3f0f35b75415536727b44, 0x004fc1], + ), + F::from_limbs( + [0xd771dbf6e9599e6ae672da7b46fa2c, 0x3a0e0347179ccc16de33046dedfd4f, 0x005276], + ), + F::from_limbs( + [0xe632270915026095198d2484b905d5, 0x6d45265665ab6722f9d50533ea0803, 0x002177], + ), + F::from_limbs( + [0x50f41a25187433d5401e0e3fd3cfc1, 0x51bd4c910d3fe33c91024f7a8e43e3, 0x006e98], + ), + F::from_limbs( + [0x6cafe8dae5e7cb2abfe1f0c02c3040, 0x5595dd0c70084ffd4705ba2749c170, 0x000555], + ), + F::from_limbs( + [0x693136244c47d39006fed3cdaa0066, 0xa274da64baa96fb21ab194d4741dbd, 0x00004a], + ), + F::from_limbs( + [0x5472ccdbb2142b6ff9012b3255ff9b, 0x04de4f38c29ec387bd5674cd63e796, 0x0073a3], + ), + F::from_limbs( + [0x960d51bf6ae6f4e4ab5ac48f2bd9a6, 0x11dd7971e55a4d99e7da903c25f117, 0x006584], + ), + F::from_limbs( + [0x2796b14093750a1b54a53a70d4265b, 0x9575b02b97ede59ff02d7965b2143c, 0x000e69], + ), + F::from_limbs( + [0x60c1d07e6eeefc87b5eac39c929ac3, 0xe6212869277b67c6ec8885a28cd25a, 0x005d5f], + ), + F::from_limbs( + [0x5ce232818f6d02784a153b636d653e, 0xc132013455cccb72eb7f83ff4b32f9, 0x00168d], + ), + F::from_limbs( + [0xddf56e2cd4099acf38136ebca02c29, 0xac21cd03c9f223c6493f18cca8f69b, 0x003a40], + ), + F::from_limbs( + [0xdfae94d32a526430c7ec90435fd3d8, 0xfb315c99b3560f738ec8f0d52f0eb7, 0x0039ac], + ), + F::from_limbs( + [0x02b232af695bcf227fe83d53c1ddee, 0x912d964c2baf45393450556cb92530, 0x006af1], + ), + F::from_limbs( + [0xbaf1d05095002fdd8017c1ac3e2213, 0x162593515198ee00a3b7b4351ee023, 0x0008fc], + ), + F::from_limbs( + [0xa642214f0552fce5dcbdb1a601c023, 0xc5389b8a77563adc60186611634372, 0x001ccb], + ), + F::from_limbs( + [0x1761e1b0f909021a23424d59fe3fde, 0xe21a8e1305f1f85d77efa39074c1e1, 0x005721], + ), + F::from_limbs( + [0x62c16e272104bf004be4bfd097d114, 0xef816bc349c995e8b12f9a81eaa16a, 0x003adb], + ), + F::from_limbs( + [0x5ae294d8dd573fffb41b3f2f682eed, 0xb7d1bdda337e9d5126d86f1fed63e9, 0x003911], + ), + F::from_limbs( + [0xe4c9e2213e75a9aea4435a94a73592, 0x7bacf43b42c5ad0303a3834b35fc71, 0x005f05], + ), + F::from_limbs( + [0xd8da20debfe655515bbca46b58ca6f, 0x2ba635623a828636d4648656a208e1, 0x0014e8], + ), + F::from_limbs( + [0xaea472d254c55dee3ac1bc2e985d0e, 0x481c5fd3e525670a5d517f05737bda, 0x005dc7], + ), + F::from_limbs( + [0x0eff902da996a111c53e42d167a2f3, 0x5f36c9c99822cc2f7ab68a9c648979, 0x001626], + ), + F::from_limbs( + [0x95714916b52a44a1d1b433c6d47388, 0xf72b124899b39b47aca9f79b77ff22, 0x000957], + ), + F::from_limbs( + [0x2832b9e94931ba5e2e4bcb392b8c79, 0xb0281754e39497f22b5e1206600631, 0x006a95], + ), + F::from_limbs( + [0x3dab9667fd8d6bc0b912fc6ebb6b4d, 0xa957470b3b35b9ebd8849e767d8f1a, 0x00723d], + ), + F::from_limbs( + [0x7ff86c9800ce933f46ed02914494b4, 0xfdfbe2924212794dff836b2b5a7639, 0x0001af], + ), + F::from_limbs( + [0x1a6dd107013e8f532cb2e6d8d5aba7, 0x5fb4f46a87242dcbdd1d919b4e16c6, 0x004c9c], + ), + F::from_limbs( + [0xa33631f8fd1d6facd34d18272a545a, 0x479e3532f624056dfaea780689ee8d, 0x002751], + ), + F::from_limbs( + [0xdefdd5e0a986ed1c437a27915897ce, 0x95170c6c7a701e40b397a45127173a, 0x0043fb], + ), + F::from_limbs( + [0xdea62d1f54d511e3bc85d76ea76833, 0x123c1d3102d814f924706550b0ee18, 0x002ff2], + ), + F::from_limbs( + [0xbba69476fa5eda3561bfd6c71847fd, 0xc0f1216b6c3e53e37f41765245dfb3, 0x003b35], + ), + F::from_limbs( + [0x01fd6e8903fd24ca9e402838e7b804, 0xe66208321109df5658c6934f9225a0, 0x0038b7], + ), + F::from_limbs( + [0x1e4f3c2848bde33792a0704d7f3d5c, 0xa41db4f4117fa6964523fbe0428afd, 0x0028ea], + ), + F::from_limbs( + [0x9f54c6d7b59e1bc86d5f8eb280c2a5, 0x033574a96bc88ca392e40dc1957a56, 0x004b03], + ), + F::from_limbs( + [0x499179728f96587b47364abb902a7f, 0x06969e493afaf1cae603a9624c7f48, 0x0026cb], + ), + F::from_limbs( + [0x7412898d6ec5a684b8c9b4446fd582, 0xa0bc8b54424d416ef204603f8b860b, 0x004d22], + ), + F::from_limbs( + [0x2eab334af1e1da6d7b0ac353e2e894, 0xc71899852062fc6ecc48d2fcc38796, 0x0034e7], + ), + F::from_limbs( + [0x8ef8cfb50c7a249284f53bac1d176d, 0xe03a90185ce536cb0bbf36a5147dbd, 0x003f05], + ), + F::from_limbs( + [0xbaaa75d37ac780d245d76b67f27d60, 0x6941c2658187de20aaf30c6e820a8f, 0x0009bf], + ), + F::from_limbs( + [0x02f98d2c83947e2dba2893980d82a1, 0x3e116737fbc055192d14fd3355fac4, 0x006a2e], + ), + F::from_limbs( + [0x4d58135e5084d45283c7e8f859236e, 0xd03359beb3ea94caca1076aabb329a, 0x002fc3], + ), + F::from_limbs( + [0x704befa1add72aad7c381607a6dc93, 0xd71fcfdec95d9e6f0df792f71cd2b9, 0x004429], + ), + F::from_limbs( + [0x10e5e09d4a435c9c77c878f2bb8464, 0xf72162824b43a150ed4182d6c5cc71, 0x0021a4], + ), + F::from_limbs( + [0xacbe2262b418a2638837860d447b9d, 0xb031c71b320491e8eac686cb1238e2, 0x005248], + ), + F::from_limbs( + [0xf51d82b4bab62433c15d109a2b1351, 0xc51b3151c9ef8fa6d009cc1e058c1f, 0x000714], + ), + F::from_limbs( + [0xc886804b43a5dacc3ea2ee65d4ecb0, 0xe237f84bb358a39307fe3d83d27933, 0x006cd8], + ), + F::from_limbs( + [0x34ef3e831e2ed58ba307e4e30ab1d4, 0x08d18af837ce39c12f6fd503a491da, 0x006d88], + ), + F::from_limbs( + [0x88b4c47ce02d29745cf81a1cf54e2d, 0x9e819ea54579f978a898349e337379, 0x000665], + ), + F::from_limbs( + [0x336da7150fc15dddd56ac9a7dc56c7, 0x7d5317cd6abce54817f7fd9bdce46e, 0x004011], + ), + F::from_limbs( + [0x8a365beaee9aa1222a95355823a93a, 0x2a0011d0128b4df1c0100c05fb20e5, 0x0033dc], + ), + F::from_limbs( + [0x6ec9d66ed0d05112d7c36272dfa403, 0xc5d21eec1555ed81ca1bbc982e7922, 0x001ec1], + ), + F::from_limbs( + [0x4eda2c912d8baded283c9c8d205bfe, 0xe1810ab167f245b80dec4d09a98c31, 0x00552b], + ), + F::from_limbs( + [0xfa8f9106dce56dec7ec96011f79a3c, 0x1ac2f79b05e28225f2afe1f417c2c5, 0x0052ee], + ), + F::from_limbs( + [0xc31471f92176911381369eee0865c5, 0x8c9032027765b113e55827adc0428d, 0x0020ff], + ), + F::from_limbs( + [0x088b2b3a9aec775d554ddf3121ab7d, 0xfa53f3c7787f73c5ee3d79f317d56d, 0x00357f], + ), + F::from_limbs( + [0xb518d7c5636f87a2aab21fcede5484, 0xacff35d604c8bf73e9ca8faec02fe6, 0x003e6d], + ), + F::from_limbs( + [0xab1d2a69326150035433bf5ab27518, 0x9450acd956d2d3e5beb3e22dd68c4c, 0x0011d9], + ), + F::from_limbs( + [0x1286d896cbfaaefcabcc3fa54d8ae9, 0x13027cc426755f5419542774017907, 0x006214], + ), + F::from_limbs( + [0xb422d75c3d666f868f9ace7f0c05ad, 0x08fa0da5731b7a4f6bf340fd338d21, 0x003186], + ), + F::from_limbs( + [0x09812ba3c0f58f7970653080f3fa54, 0x9e591bf80a2cb8ea6c14c8a4a47832, 0x004267], + ), + F::from_limbs( + [0xa13ca9ab7aec628d9e085dbcf627b3, 0x2ceae6375943e17d761d599629634f, 0x0061f7], + ), + F::from_limbs( + [0x1c675954836f9c7261f7a14309d84e, 0x7a684366240451bc61eab00baea204, 0x0011f6], + ), + F::from_limbs( + [0x5a435445e20ad1603533d63a46811e, 0x107acd46e6ead73902c051a4f47a89, 0x001099], + ), + F::from_limbs( + [0x6360aeba1c512d9fcacc28c5b97ee3, 0x96d85c56965d5c00d547b7fce38aca, 0x006354], + ), + F::from_limbs( + [0x0f556c7dd965c9e662abd652bab712, 0x2868b33df772d83728a650fec1696a, 0x0039ae], + ), + F::from_limbs( + [0xae4e968224f635199d5428ad4548ef, 0x7eea765f85d55b02af61b8a3169be9, 0x003a3f], + ), + F::from_limbs( + [0x095888daa8cfdbbb8cc4d2edbd46d3, 0xae4dd751366cffd24594deb8870dde, 0x0007e3], + ), + F::from_limbs( + [0xb44b7a25558c2344733b2c1242b92e, 0xf905524c46db336792732ae950f775, 0x006c09], + ), + F::from_limbs( + [0x5aeccb05e4e36060803fc8de4668e8, 0x193723dba47ad8cbb8d047f3a39b0c, 0x00414b], + ), + F::from_limbs( + [0x62b737fa19789e9f7fc03621b99719, 0x8e1c05c1d8cd5a6e1f37c1ae346a47, 0x0032a2], + ), + F::from_limbs( + [0x1853b4ee0a8f23056507ef2eaa6a09, 0x0a90ca49d553e549f2ee40567332ca, 0x002d21], + ), + F::from_limbs( + [0xa5504e11f3ccdbfa9af80fd15595f8, 0x9cc25f53a7f44defe519c94b64d289, 0x0046cc], + ), + F::from_limbs( + [0x2624f47a7cc3c3863217230f4471f9, 0xa98b3d9bb1a86d72e5e027b600ea16, 0x00382c], + ), + F::from_limbs( + [0x977f0e8581983b79cde8dbf0bb8e08, 0xfdc7ec01cb9fc5c6f227e1ebd71b3d, 0x003bc0], + ), + F::from_limbs( + [0x833c9a0c4b5810f5b4c6b50487ae1f, 0x21f3bb92f58d494135cedd7cc2a033, 0x001be4], + ), + F::from_limbs( + [0x3a6768f3b303ee0a4b3949fb7851e2, 0x855f6e0a87bae9f8a2392c25156520, 0x005809], + ), + F::from_limbs( + [0xf382d2cf899e1c66a46ab4699489c6, 0xcabaccd26113e0b7a9efc26faa9532, 0x002803], + ), + F::from_limbs( + [0xca21303074bde2995b954a966b763b, 0xdc985ccb1c3452822e1847322d7020, 0x004be9], + ), + F::from_limbs( + [0x6910d639aefe17754b6a53fddc4c94, 0x88cd7576b823f47dfc583fe631a439, 0x0021d0], + ), + F::from_limbs( + [0x54932cc64f5de78ab495ab0223b36d, 0x1e85b426c5243ebbdbafc9bba6611a, 0x00521d], + ), + F::from_limbs( + [0x0d613cc36bfa358f848821e4356469, 0x09516722769df28de6c16bb4bbee36, 0x002f2b], + ), + F::from_limbs( + [0xb042c63c9261c9707b77dd1bca9b98, 0x9e01c27b06aa40abf1469ded1c171d, 0x0044c2], + ), + F::from_limbs( + [0x75d2d8c194a702ae113bb568e33c3c, 0xfd9bbe2b455b567ce9424c694ca7ba, 0x00596e], + ), + F::from_limbs( + [0x47d12a3e69b4fc51eec449971cc3c5, 0xa9b76b7237ecdcbceec5bd388b5d99, 0x001a7e], + ), + F::from_limbs( + [0xd67644ecb1ec23b5e2c92f7207066f, 0x3669f0b510aff120489b258ca13d29, 0x000c90], + ), + F::from_limbs( + [0xe72dbe134c6fdb4a1d36cf8df8f992, 0x70e938e86c9842198f6ce41536c829, 0x00675d], + ), + F::from_limbs( + [0xc313287b50ee6ceb107d107792e331, 0xf5f496036dda75d6467e78880bd899, 0x001f92], + ), + F::from_limbs( + [0xfa90da84ad6d9214ef82ee886d1cd0, 0xb15e939a0f6dbd6391899119cc2cb9, 0x00545a], + ), + F::from_limbs( + [0x0bd4e6a7e888998588ec8712bbb533, 0xc466e9f46b9b99b02b0d0da9e471ba, 0x003367], + ), + F::from_limbs( + [0xb1cf1c5815d3657a771377ed444ace, 0xe2ec3fa911ac9989acfafbf7f39399, 0x004085], + ), + F::from_limbs( + [0x3be97480c55418f45dadfa7ab57531, 0xea964384940530c5e2bc37a1533ac3, 0x0066b4], + ), + F::from_limbs( + [0x81ba8e7f3907e60ba25204854a8ad0, 0xbcbce618e9430273f54bd20084ca90, 0x000d38], + ), + F::from_limbs( + [0xc2430643e8182d35323eec80747457, 0xfcbdae14d82de463155db41faca3da, 0x006021], + ), + F::from_limbs( + [0xfb60fcbc1643d1cacdc1127f8b8baa, 0xaa957b88a51a4ed6c2aa55822b6178, 0x0013cb], + ), + F::from_limbs( + [0xc7a2c8ab4cebe3229d28add06fa1a0, 0x36b466b8ceec2076b2987fe06886b8, 0x001769], + ), + F::from_limbs( + [0xf6013a54b1701bdd62d7512f905e61, 0x709ec2e4ae5c12c3256f89c16f7e9a, 0x005c84], + ), + F::from_limbs( + [0xd8a879169dd8991a08d5e4e2e01343, 0x192fb0cd079daf0f64a02464f057f6, 0x00679a], + ), + F::from_limbs( + [0xe4fb89e9608365e5f72a1a1d1fecbe, 0x8e2378d075aa842a7367e53ce7ad5c, 0x000c53], + ), + F::from_limbs( + [0xb5485481194aefa65b28ed517d4354, 0xde37523e64d4ddbaddb9f90e7d697a, 0x000019], + ), + F::from_limbs( + [0x085bae7ee5110f59a4d711ae82bcad, 0xc91bd75f1873557efa4e10935a9bd9, 0x0073d3], + ), + F::from_limbs( + [0x970eedd0930abc1f41e0a2ec24c764, 0x76aca5cbffa191b659acf68394e8b7, 0x006b2f], + ), + F::from_limbs( + [0x2695152f6b5142e0be1f5c13db389d, 0x30a683d17da6a1837e5b131e431c9c, 0x0008be], + ), + F::from_limbs( + [0xea426fe3382da5ccd6232e773a7be0, 0xbccf1d2163b24879f55520eec3096c, 0x005fc0], + ), + F::from_limbs( + [0xd361931cc62e593329dcd088c58421, 0xea840c7c1995eabfe2b2e8b314fbe6, 0x00142c], + ), + F::from_limbs( + [0x5ded1899239a88898b0554d218a61c, 0xd11ff6f7fa6cbcbe9301f686e86bf9, 0x0044c1], + ), + F::from_limbs( + [0x5fb6ea66dac1767674faaa2de759e5, 0xd63332a582db767b4506131aef995a, 0x002f2b], + ), + F::from_limbs( + [0x62a1c1fa6e32aa1b529e40de1d7c4d, 0x5788394251987c11e63de35442f626, 0x0054e6], + ), + F::from_limbs( + [0x5b024105902954e4ad61be21e283b4, 0x4fcaf05b2bafb727f1ca264d950f2d, 0x001f07], + ), + F::from_limbs( + [0x23483beb660aa3126c1c8e445a8a5b, 0x12a22a888026f6f5faa93431d39300, 0x005726], + ), + F::from_limbs( + [0x9a5bc71498515bed93e370bba575a6, 0x94b0ff14fd213c43dd5ed570047253, 0x001cc7], + ), + F::from_limbs( + [0xd34a8629e2a390579464a37d34c01f, 0xe95e089c5912926d173883e9142489, 0x006800], + ), + F::from_limbs( + [0xea597cd61bb86ea86b9b5b82cb3fe2, 0xbdf521012435a0ccc0cf85b8c3e0c9, 0x000bec], + ), + F::from_limbs( + [0x12f7a9a2ba4c6f2289841708c47e76, 0x8d51514e6d3ba1fb1ad2f91bea10fe, 0x006c5c], + ), + F::from_limbs( + [0xaaac595d440f8fdd767be7f73b818b, 0x1a01d84f100c913ebd351085edf455, 0x000791], + ), + F::from_limbs( + [0x1084d1e459c2644faaa91388ae574d, 0xed8c43ec33b5e17e82746da5a2b076, 0x0047d7], + ), + F::from_limbs( + [0xad1f311ba4999ab05556eb7751a8b4, 0xb9c6e5b1499251bb55939bfc3554dd, 0x002c15], + ), + F::from_limbs( + [0xf9870d09b49934594ef32abcf775b9, 0xd339e9bdd168c902e32bba607579dc, 0x00220b], + ), + F::from_limbs( + [0xc41cf5f649c2caa6b10cd443088a48, 0xd4193fdfabdf6a36f4dc4f41628b76, 0x0051e1], + ), + F::from_limbs( + [0xba5587cee31ba92218afc24fb3fb6d, 0x26f47becfa9260ab9a24e417ab6e2a, 0x00010c], + ), + F::from_limbs( + [0x034e7b311b4055dde7503cb04c0494, 0x805eadb082b5d28e3de3258a2c9729, 0x0072e1], + ), + F::from_limbs( + [0xb1101b4a6a67fce5fb1ba223a764f8, 0x59b150561c08ee82c31d8e145688a9, 0x001f99], + ), + F::from_limbs( + [0x0c93e7b593f4021a04e45cdc589b09, 0x4da1d947613f44b714ea7b8d817caa, 0x005454], + ), + F::from_limbs( + [0x33e7e7f45b14fb3783b2614bebb0c2, 0x6a09c6e30dc4df9d916b36a30c5404, 0x006136], + ), + F::from_limbs( + [0x89bc1b0ba34703c87c4d9db4144f3f, 0x3d4962ba6f83539c469cd2fecbb14f, 0x0012b7], + ), + F::from_limbs( + [0x3eb77e93fdfad62d5d0f5c33535fd6, 0x31fb8102066d8296d9a9c6a10e2512, 0x006457], + ), + F::from_limbs( + [0x7eec846c006128d2a2f0a2ccaca02b, 0x7557a89b76dab0a2fe5e4300c9e041, 0x000f96], + ), + F::from_limbs( + [0x8fd58359d39d07910b8b9b66684add, 0x7d8c49ec4fb7f6900d91db7be189f1, 0x005363], + ), + F::from_limbs( + [0x2dce7fa62abef76ef474639997b524, 0x29c6dfb12d903ca9ca762e25f67b62, 0x00208a], + ), + F::from_limbs( + [0x5b9ae4008d73829ab0eaa775faa012, 0x76e29080b50f1cd896a4b3705edc8a, 0x004256], + ), + F::from_limbs( + [0x62091eff70e87c654f15578a055fef, 0x3070991cc8391661416356317928c9, 0x003197], + ), + F::from_limbs( + [0x5415c7e32b57d8f14c6ea5a428c753, 0x2871d8bbf1938804b57eba0c7f48b2, 0x005ea3], + ), + F::from_limbs( + [0x698e3b1cd304260eb391595bd738ae, 0x7ee150e18bb4ab3522894f9558bca1, 0x00154a], + ), + F::from_limbs( + [0x454cc072521a80dee4982fe73f0476, 0xc15b4cc4b5699059b96ae5d8e22ca0, 0x002ec1], + ), + F::from_limbs( + [0x7857428dac417e211b67cf18c0fb8b, 0xe5f7dcd8c7dea2e01e9d23c8f5d8b3, 0x00452b], + ), + F::from_limbs( + [0x6a4174f9d391c3c1bc0e2e75444e71, 0xd2c2aeff4f7c1033a694607d9089ee, 0x00585f], + ), + F::from_limbs( + [0x53628e062aca3b3e43f1d08abbb190, 0xd4907a9e2dcc23063173a924477b65, 0x001b8d], + ), + F::from_limbs( + [0x077fb2af5f3968498cb1c004d751da, 0x9f9a7567a04fcef4eeac0deb62a9e2, 0x002f41], + ), + F::from_limbs( + [0xb62450509f2296b6734e3efb28ae27, 0x07b8b435dcf86444e95bfbb6755b71, 0x0044ac], + ), + F::from_limbs( + [0x7f4b22ee86c90c6e3bf01c498740f6, 0xc509aec45575756fdf33240b9eb8c2, 0x004322], + ), + F::from_limbs( + [0x3e58e0117792f291c40fe2b678bf0b, 0xe2497ad927d2bdc9f8d4e596394c91, 0x0030ca], + ), + F::from_limbs( + [0x62ff60cc15dea0c8e2dd3ed107d499, 0x0cdd9173bbfd3e8c95924f0548cbe5, 0x004c1c], + ), + F::from_limbs( + [0x5aa4a233e87d5e371d22c02ef82b68, 0x9a759829c14af4ad4275ba9c8f396e, 0x0027d1], + ), + F::from_limbs( + [0xc9f9aa166bf26bc0797107b1cb3124, 0x3826c895df7f4b00e4140110a4aed7, 0x001896], + ), + F::from_limbs( + [0xf3aa58e99269933f868ef74e34cedd, 0x6f2c61079dc8e838f3f4089133567b, 0x005b57], + ), + F::from_limbs( + [0x6b1f176bbbafe77f0e8114b6a0d047, 0xe6b5bd56753f2c848ff6620f2d19a0, 0x0021fa], + ), + F::from_limbs( + [0x5284eb9442ac1780f17eea495f2fba, 0xc09d6c47080906b54811a792aaebb3, 0x0051f2], + ), + F::from_limbs( + [0x24dfe0eff265eeb9f443beec8e4a98, 0xd12f488a4f008dde048d37f34632d0, 0x006ab6], + ), + F::from_limbs( + [0x98c422100bf610460bbc401371b569, 0xd623e1132e47a55bd37ad1ae91d283, 0x000936], + ), + F::from_limbs( + [0x89389d045ecd85912bd03df9174127, 0x5678784bdd314b69773fb25cf78088, 0x0009e9], + ), + F::from_limbs( + [0x346b65fb9f8e796ed42fc106e8beda, 0x50dab151a016e7d060c85744e084cb, 0x006a04], + ), + F::from_limbs( + [0xb2c43c2678b650937dff33b29a7067, 0x10012f49cbdbb0c057cfa5a042c808, 0x0032f6], + ), + F::from_limbs( + [0x0adfc6d985a5ae6c8200cb4d658f9a, 0x9751fa53b16c827980386401953d4b, 0x0040f7], + ), + F::from_limbs( + [0x89db099f5aa3d61cf9c8103c36f106, 0x04026adc48a1cb249422c0b1923c84, 0x00420f], + ), + F::from_limbs( + [0x33c8f960a3b828e30637eec3c90efb, 0xa350bec134a6681543e548f045c8cf, 0x0031de], + ), + F::from_limbs( + [0x131960517113c6aa3f1fa1135a9163, 0xb023314a82dbfe42fdcdc306e96f61, 0x006fbc], + ), + F::from_limbs( + [0xaa8aa2ae8d483855c0e05deca56e9e, 0xf72ff852fa6c34f6da3a469aee95f2, 0x000430], + ), + F::from_limbs( + [0xa8dfb2d95d08eebad594175ea0777d, 0xd15d1348757839ea78d5ebd557ac68, 0x000fa5], + ), + F::from_limbs( + [0x14c45026a15310452a6be7a15f8884, 0xd5f6165507cff94f5f321dcc8058eb, 0x006447], + ), + F::from_limbs( + [0xb49eae14ca61adfb5a74bbf196694f, 0x78e42eccf77a299af2a89d3d9a9503, 0x0004a5], + ), + F::from_limbs( + [0x090554eb33fa5104a58b430e6996b2, 0x2e6efad085ce099ee55f6c643d7050, 0x006f48], + ), + F::from_limbs( + [0xc57c7aae3c5d192fc39139d30accaa, 0x6a37e78478720ac2b9a3a71bc6dee6, 0x0052ff], + ), + F::from_limbs( + [0xf8278851c1fee5d03c6ec52cf53357, 0x3d1b421904d628771e64628611266c, 0x0020ee], + ), + F::from_limbs( + [0xbfe4d04bc3af5abd41931e6ad8fbc4, 0xb4226f2d37b4092596aa02af41df19, 0x0052df], + ), + F::from_limbs( + [0xfdbf32b43aaca442be6ce09527043d, 0xf330ba7045942a14415e06f2962639, 0x00210d], + ), + F::from_limbs( + [0x5d4c8253345fc0da9862bcfa4152a5, 0xb67b052567d36d907e855e18e24fe2, 0x001666], + ), + F::from_limbs( + [0x605780acc9fc3e25679d4205bead5c, 0xf0d824781574c5a95982ab88f5b571, 0x005d86], + ), + F::from_limbs( + [0x2a6b489ba9d4071dd477a1a8fb9943, 0x2f1ccbe3e2f477c805e7d68aa60033, 0x0057e3], + ), + F::from_limbs( + [0x9338ba645487f7e22b885d570466be, 0x78365db99a53bb71d2203317320520, 0x001c0a], + ), + F::from_limbs( + [0x1ab551c326a152b58257bb2e5d71db, 0xbc560f4a92e069085360a46e5262e7, 0x004bf9], + ), + F::from_limbs( + [0xa2eeb13cd7baac4a7da843d1a28e26, 0xeafd1a52ea67ca3184a7653385a26c, 0x0027f3], + ), + F::from_limbs( + [0x58997c0bcf1c7ec8ed5cac7b9d2bac, 0xb301523084ffbb94572c1757cd8070, 0x001998], + ), + F::from_limbs( + [0x650a86f42f3f803712a3528462d455, 0xf451d76cf84877a580dbf24a0a84e3, 0x005a54], + ), + F::from_limbs( + [0xbf85946a2dad3bd8b9c1884f38f043, 0x2e2d253894999a00ad991d57396878, 0x000645], + ), + F::from_limbs( + [0xfe1e6e95d0aec327463e76b0c70fbe, 0x79260464e8ae99392a6eec4a9e9cda, 0x006da8], + ), + F::from_limbs( + [0x79d0abcc6b92776cfd5fd90654dc47, 0x92b5ba1dbfdb4e6157ba4c1415819b, 0x001b33], + ), + F::from_limbs( + [0x43d3573392c9879302a025f9ab23ba, 0x149d6f7fbd6ce4d8804dbd8dc283b8, 0x0058ba], + ), + F::from_limbs( + [0x68d3d308f6af752367d21449c614fb, 0x7acb9966a71884d4224a351c246aaa, 0x001e8c], + ), + F::from_limbs( + [0x54d02ff707ac89dc982deab639eb06, 0x2c879036d62fae65b5bdd485b39aa9, 0x005561], + ), + F::from_limbs( + [0xd1347b378fbf96e206da11a5d36306, 0x0a11a0f704f4fc3e8acfe0f8245f0a, 0x00564c], + ), + F::from_limbs( + [0xec6f87c86e9c681df925ed5a2c9cfb, 0x9d4188a6785336fb4d3828a9b3a648, 0x001da1], + ), + F::from_limbs( + [0xad4b8238fb15a2cd5f7b9753dbc950, 0x8876214b5ea64b7394e9aacb5a271f, 0x002bb6], + ), + F::from_limbs( + [0x105880c703465c32a08467ac2436b1, 0x1edd08521ea1e7c6431e5ed67dde34, 0x004837], + ), + F::from_limbs( + [0x63fff9337fecd313c7c03ef17a2033, 0xabee7c028923cc0affedaf37b5bb4e, 0x001c39], + ), + F::from_limbs( + [0x59a409cc7e6f2bec383fc00e85dfce, 0xfb64ad9af424672ed81a5a6a224a05, 0x0057b3], + ), + F::from_limbs( + [0x91a1faeb4b36d5cc2201b834e74a04, 0x8f5b87d7a05090eb099e349e17639b, 0x00605b], + ), + F::from_limbs( + [0x2c020814b3252933ddfe46cb18b5fd, 0x17f7a1c5dcf7a24ece69d503c0a1b8, 0x001392], + ), + F::from_limbs( + [0xa2df4d8921e8aff1867882e0b9cae8, 0xcb41966a5661788743c7818f06051d, 0x0006f3], + ), + F::from_limbs( + [0x1ac4b576dc734f0e79877c1f463519, 0xdc11933326e6bab294408812d20036, 0x006cf9], + ), + F::from_limbs( + [0x5c5d4be5b92c7b5ab670793f534c85, 0x7f1658569f752082ae264b6ae7cc8d, 0x003a09], + ), + F::from_limbs( + [0x6146b71a452f83a5498f85c0acb37c, 0x283cd146ddd312b729e1be36f038c6, 0x0039e4], + ), + F::from_limbs( + [0x6736009fa130119f9a06a539dcc7bd, 0xf5a12bf093b927ab9acee22625ab94, 0x005351], + ), + F::from_limbs( + [0x566e02605d2bed6065f959c6233844, 0xb1b1fdace98f0b8e3d39277bb259bf, 0x00209b], + ), + F::from_limbs( + [0x24c2fd6a62162b6b37d19f83bb87e0, 0xac8524669b3262d47d6f3069a6b4a9, 0x002146], + ), + F::from_limbs( + [0x98e105959c45d394c82e5f7c447821, 0xface0536e215d0655a98d9383150aa, 0x0052a6], + ), + F::from_limbs( + [0xa24a9bd470cd67ca0a0220aec02fa4, 0x3ba7dfb14308007b0e472badec8d39, 0x0057e0], + ), + F::from_limbs( + [0x1b59672b8d8e9735f5fdde513fd05d, 0x6bab49ec3a4032bec9c0ddf3eb781a, 0x001c0d], + ), + F::from_limbs( + [0xbf80d6881dc2190c850dd65aaaaefa, 0x4708ac66bf63479ddf15c7b33589c3, 0x001bab], + ), + F::from_limbs( + [0xfe232c77e099e5f37af228a5555107, 0x604a7d36bde4eb9bf8f241eea27b8f, 0x005842], + ), + F::from_limbs( + [0xd6c764f82602a7228bc1c0e7e3fdf5, 0x4cef0ca52f27785009eb7e7ecdaa03, 0x000658], + ), + F::from_limbs( + [0xe6dc9e07d85957dd743e3e181c020c, 0x5a641cf84e20bae9ce1c8b230a5b4f, 0x006d95], + ), + F::from_limbs( + [0x74957c1d2728744430911d2ef02d6c, 0x00c1a3aeef45073c6cb1200432d367, 0x00688a], + ), + F::from_limbs( + [0x490e86e2d7338abbcf6ee1d10fd295, 0xa69185ee8e032bfd6b56e99da531ec, 0x000b63], + ), + F::from_limbs( + [0xb39fb2d51ad78d473ea412a309a77c, 0x9915614f3901e5434787eb246e5cea, 0x003d3d], + ), + F::from_limbs( + [0x0a04502ae38471b8c15bec5cf65885, 0x0e3dc84e44464df690801e7d69a869, 0x0036b0], + ), + F::from_limbs( + [0x7203a676aa3fae360419ba7b4a732f, 0x208bd4a64316c3de999d9c5ccf8954, 0x00200d], + ), + F::from_limbs( + [0x4ba05c89541c50c9fbe64484b58cd2, 0x86c754f73a316f5b3e6a6d45087bff, 0x0053e0], + ), + F::from_limbs( + [0xcb18f70b1666477b49fff1eb1daf38, 0x4e933af6252c6dc58e41cd427dbe5f, 0x00009c], + ), + F::from_limbs( + [0xf28b0bf4e7f5b784b6000d14e250c9, 0x58bfeea7581bc57449c63c5f5a46f3, 0x007351], + ), + F::from_limbs( + [0x4567cac5c777f44c56fb3866d3a809, 0xffb392002a5b378787829b9e0abd13, 0x0067b3], + ), + F::from_limbs( + [0x783c383a36e40ab3a904c6992c57f8, 0xa79f979d52ecfbb250856e03cd4840, 0x000c39], + ), + F::from_limbs( + [0xdca0ae49bc978f29ebf33886000c8a, 0xabc5b7c03be4cc772df2b06be7d8d7, 0x0053d7], + ), + F::from_limbs( + [0xe10354b641c46fd6140cc679fff377, 0xfb8d71dd416366c2aa155935f02c7b, 0x002015], + ), + F::from_limbs( + [0x940867fad3080cff61da335d218c69, 0x9d4a6f36bb328011781ae2eb8338e5, 0x00596a], + ), + F::from_limbs( + [0x299b9b052b53f2009e25cba2de7398, 0x0a08ba66c215b3285fed26b654cc6e, 0x001a83], + ), + F::from_limbs( + [0x542b67f83c49199e3ccb8dd576b0f5, 0xadb736656798954b937d9da775086a, 0x004a41], + ), + F::from_limbs( + [0x69789b07c212e561c334712a894f0c, 0xf99bf33815af9dee448a6bfa62fce9, 0x0029ab], + ), + F::from_limbs( + [0x76cfa8688aad937936281d725764c6, 0xda887f345f79f45562e9505e5e255d, 0x005b21], + ), + F::from_limbs( + [0x46d45a9773ae6b86c9d7e18da89b3b, 0xcccaaa691dce3ee4751eb94379dff6, 0x0018cb], + ), + F::from_limbs( + [0xeafd87bcdafda8cb6a70e04f526a21, 0x340846157bd5c13b498f50314635ca, 0x0029d8], + ), + F::from_limbs( + [0xd2a67b43235e5634958f1eb0ad95e0, 0x734ae388017271fe8e78b97091cf88, 0x004a15], + ), + F::from_limbs( + [0x1da259503de1389ec8f2d00aa19cc2, 0xbf6ff47ecf4640000ffa7ee6b74af1, 0x002250], + ), + F::from_limbs( + [0xa001a9afc07ac661370d2ef55e633f, 0xe7e3351eae01f339c80d8abb20ba62, 0x00519c], + ), + F::from_limbs( + [0x03dab19044e968a5e53cecd36dabb8, 0xfcab3ad741ebc624a6bf28c35e8472, 0x00592e], + ), + F::from_limbs( + [0xb9c9516fb972965a1ac3122c925449, 0xaaa7eec63b5c6d153148e0de7980e1, 0x001abe], + ), + F::from_limbs( + [0x9d5d562fb82e29d6e0934f96c7a283, 0x5287a19abf3c4b844ced5de375e7cb, 0x0009c6], + ), + F::from_limbs( + [0x2046acd0462dd5291f6caf69385d7e, 0x54cb8802be0be7b58b1aabbe621d88, 0x006a27], + ), + F::from_limbs( + [0x726517ced91929d4910b491b0f88ae, 0x5ec1c5949c07f55d7b47c3dbbb90a2, 0x0010c6], + ), + F::from_limbs( + [0x4b3eeb312542d52b6ef4b5e4f07753, 0x48916408e1403ddc5cc045c61c74b1, 0x006327], + ), + F::from_limbs( + [0x93ecc4fa926abf15507909d573d669, 0x2ddbb6673ea3ae29036141e291016e, 0x00394a], + ), + F::from_limbs( + [0x29b73e056bf13feaaf86f52a8c2998, 0x797773363ea48510d4a6c7bf4703e5, 0x003aa3], + ), + F::from_limbs( + [0xdb8c0f19e4d5789314520692a107bf, 0x559da0d834d894ef9b74b96b0020a5, 0x006d5b], + ), + F::from_limbs( + [0xe217f3e61986866cebadf86d5ef842, 0x51b588c5486f9e4a3c935036d7e4ad, 0x000692], + ), + F::from_limbs( + [0x4ce9d6b7ae56c76a7878b810d6b679, 0xd0cbecb1569285bfd4bf0aae06bd36, 0x004ed8], + ), + F::from_limbs( + [0x70ba2c4850053795878746ef294988, 0xd6873cec26b5ad7a0348fef3d1481d, 0x002514], + ), + F::from_limbs( + [0x9a7d5bdaf34775fa3f8e60a92902ec, 0x7e6ad59835800491be3e124c5646a5, 0x0052a2], + ), + F::from_limbs( + [0x2326a7250b148905c0719e56d6fd15, 0x28e8540547c82ea819c9f75581beae, 0x00214b], + ), + F::from_limbs( + [0x930a3974130cf21f0bf5b12e2ad57b, 0xa88d3bb843f1e59a0efbb9fbdaac29, 0x003f00], + ), + F::from_limbs( + [0x2a99c98beb4f0ce0f40a4dd1d52a86, 0xfec5ede539564d9fc90c4fa5fd592a, 0x0034ec], + ), + F::from_limbs( + [0x0ca2ec307a54e23de675002a1dc598, 0xeaab319d871b6f8272abdf5878899b, 0x001327], + ), + F::from_limbs( + [0xb10116cf84071cc2198afed5e23a69, 0xbca7f7fff62cc3b7655c2a495f7bb8, 0x0060c5], + ), + F::from_limbs( + [0x7b78bbf9fcf6ac1a8ce009481b06f4, 0xcd295c0ef9e69f7e9ea74befd40aec, 0x00681c], + ), + F::from_limbs( + [0x422b4706016552e5731ff5b7e4f90d, 0xda29cd8e836193bb3960bdb203fa67, 0x000bd0], + ), + F::from_limbs( + [0x684c6a14b706e6a4e458d205940a65, 0xb4baeca30de2fa564db1db4df55ad5, 0x00160f], + ), + F::from_limbs( + [0x555798eb4755185b1ba72cfa6bf59c, 0xf2983cfa6f6538e38a562e53e2aa7e, 0x005ddd], + ), + F::from_limbs( + [0x357125c09f65d2f6bc04f1ccc8a05b, 0x75ece38b6b216509c259b1a0a550a2, 0x002e7a], + ), + F::from_limbs( + [0x8832dd3f5ef62c0943fb0d33375fa6, 0x316646121226ce3015ae580132b4b1, 0x004573], + ), + F::from_limbs( + [0x21340434d0af3d0e2bce377d6c3748, 0x53137d74125bb90512b69f97c1abe0, 0x003162], + ), + F::from_limbs( + [0x9c6ffecb2dacc1f1d431c78293c8b9, 0x543fac296aec7a34c5516a0a165973, 0x00428b], + ), + F::from_limbs( + [0xb75ebf1fa6a848f2dcd7de352e7812, 0xfa066178e33c85eb74ae061ea0c95e, 0x005b88], + ), + F::from_limbs( + [0x064543e057b3b60d232820cad187ef, 0xad4cc8249a0bad4e635a0383373bf5, 0x001864], + ), + F::from_limbs( + [0x7841ddfd61aa748afd27280b1d26d5, 0xb5dc03165af6d7e53ad367a6de9eee, 0x004736], + ), + F::from_limbs( + [0x456225029cb18a7502d8d6f4e2d92c, 0xf177268722515b549d34a1faf96665, 0x002cb6], + ), + F::from_limbs( + [0xa3fca4c95e97ef62e4bc4334d24aa2, 0x970f33b7a49db81d211727eccfa32c, 0x00148a], + ), + F::from_limbs( + [0x19a75e369fc40f9d1b43bbcb2db55f, 0x1043f5e5d8aa7b1cb6f0e1b5086227, 0x005f63], + ), + F::from_limbs( + [0x1af71607b2c66dfea4a56081023372, 0xb346b11ea91175e3dbeb28007ad97d, 0x0036e2], + ), + F::from_limbs( + [0xa2acecf84b9591015b5a9e7efdcc8f, 0xf40c787ed436bd55fc1ce1a15d2bd6, 0x003d0a], + ), + F::from_limbs( + [0xd98e5d422c5d1b27ff824c52dca1d0, 0x28e8851cb172fab2b64503252a7def, 0x004e8f], + ), + F::from_limbs( + [0xe415a5bdd1fee3d8007db2ad235e31, 0x7e6aa480cbd5388721c3067cad8763, 0x00255e], + ), + F::from_limbs( + [0x47a42d475447363d44f03d6a565b97, 0xbe856f6bbf1c5d54f3a81142092b09, 0x005168], + ), + F::from_limbs( + [0x75ffd5b8aa14c8c2bb0fc195a9a46a, 0xe8cdba31be2bd5e4e45ff85fceda4a, 0x002284], + ), + F::from_limbs( + [0x31d674997b53dae2b092cec051cab3, 0x4c464e1891f0c3c830738958768167, 0x001f64], + ), + F::from_limbs( + [0x8bcd8e668308241d4f6d303fae354e, 0x5b0cdb84eb576f71a79480496183ec, 0x005489], + ), + F::from_limbs( + [0xa86a543b84b81418e39ed00f0fb9e9, 0x2c67e97367ce5c3e6671824479d465, 0x003d75], + ), + F::from_limbs( + [0x1539aec479a3eae71c612ef0f04618, 0x7aeb402a1579d6fb7196875d5e30ee, 0x003678], + ), + F::from_limbs( + [0x8378bf20f973c70da3b463586d4b7b, 0xcdaeaa9b7abf7cc0ce06072e27a588, 0x003aa6], + ), + F::from_limbs( + [0x3a2b43df04e837f25c4b9ba792b486, 0xd9a47f020288b6790a020273b05fcb, 0x003946], + ), + F::from_limbs( + [0x010585e07a712c0b6729335818e69a, 0x2bac15e611d6564ae36561f30c5d45, 0x00369d], + ), + F::from_limbs( + [0xbc9e7d1f83ead2f498d6cba7e71967, 0x7ba713b76b71dceef4a2a7aecba80e, 0x003d50], + ), + F::from_limbs( + [0xa526579d681c965a90ff08490bfddc, 0x09f9fa970046d8d2e1418a37800c8a, 0x0027ad], + ), + F::from_limbs( + [0x187dab62963f68a56f00f6b6f40225, 0x9d592f067d015a66f6c67f6a57f8c9, 0x004c40], + ), + F::from_limbs( + [0x203f88cbdc4471948cb801db257f24, 0xa39c71e06fdf474e1e622995bbb22e, 0x000088], + ), + F::from_limbs( + [0x9d647a3422178d6b7347fd24da80dd, 0x03b6b7bd0d68ebebb9a5e00c1c5325, 0x007365], + ), + F::from_limbs( + [0xd9640467b89b62bb3664bc5da730c0, 0xf25d387914b42e95a8ce3dab9495f8, 0x00070c], + ), + F::from_limbs( + [0xe43ffe9845c09c44c99b42a258cf41, 0xb4f5f124689404a42f39cbf6436f5a, 0x006ce0], + ), + F::from_limbs( + [0xcb1c4c78afeecd4318a4cc529de646, 0x8ab180b6121766d0fbf770c619f590, 0x006722], + ), + F::from_limbs( + [0xf287b6874e6d31bce75b32ad6219bb, 0x1ca1a8e76b30cc68dc1098dbbe0fc2, 0x000ccb], + ), + F::from_limbs( + [0xf232337ef6eba4549c3333d5cdae87, 0x1b7d643dcbb06052961d233134d2bd, 0x001131], + ), + F::from_limbs( + [0xcb71cf8107705aab63cccb2a32517a, 0x8bd5c55fb197d2e741eae670a33295, 0x0062bc], + ), + F::from_limbs( + [0xd2a6543bf0a923b8baa3c5f39511a9, 0xfaafbd50344cd931eb4e7d8227c6d9, 0x0033f1], + ), + F::from_limbs( + [0xeafdaec40db2db47455c390c6aee58, 0xaca36c4d48fb5a07ecb98c1fb03e79, 0x003ffb], + ), + F::from_limbs( + [0x1777ae6de43c3bcc3cf45503a26bf9, 0x4930044f66d8675907d64a5c2feb97, 0x005605], + ), + F::from_limbs( + [0xa62c54921a1fc333c30ba9fc5d9408, 0x5e23254e166fcbe0d031bf45a819bc, 0x001de8], + ), + F::from_limbs( + [0x7664eaa2d713a5c7b1b0deaf488dc0, 0xdecc5a66647f9784a0b1a526c1fc01, 0x00040b], + ), + F::from_limbs( + [0x473f185d274859384e4f2050b77241, 0xc886cf3718c89bb53756647b160952, 0x006fe1], + ), + F::from_limbs( + [0xadbc1a2c46fc2c8d7616ca9a1232dd, 0x417472eed79049a3167cfffc90e27f, 0x0057d6], + ), + F::from_limbs( + [0x0fe7e8d3b75fd27289e93465edcd24, 0x65deb6aea5b7e996c18b09a54722d4, 0x001c17], + ), + F::from_limbs( + [0xfa62bbbbd6b631a42d6916ba23404c, 0x404b2b3e80406629c6836b11a80e95, 0x001e1a], + ), + F::from_limbs( + [0xc341474427a5cd5bd296e845dcbfb5, 0x6707fe5efd07cd1011849e902ff6bd, 0x0055d3], + ), + F::from_limbs( + [0xd481d0bb6911548cb29e5f68cdc81a, 0xaaa3d798d21e94dadff55c6cbfdb7f, 0x00630e], + ), + F::from_limbs( + [0xe9223244954aaa734d619f973237e7, 0xfcaf5204ab299e5ef812ad351829d3, 0x0010de], + ), + F::from_limbs( + [0x030f7af2e756bfa10792d623ec078b, 0xaf53a7f8913c194caac36ab9b39ee1, 0x001fef], + ), + F::from_limbs( + [0xba94880d17053f5ef86d28dc13f876, 0xf7ff81a4ec0c19ed2d449ee8246672, 0x0053fd], + ), + F::from_limbs( + [0xca4d3655b7f65a7a73df2ecd0e2030, 0x7518b9fd3554c0f19a67641063833c, 0x004b1d], + ), + F::from_limbs( + [0xf356ccaa4665a4858c20d032f1dfd1, 0x323a6fa047f372483da0a591748216, 0x0028d0], + ), + F::from_limbs( + [0xd3049773ed303c881867a03315f5d3, 0x2b4acc7c704c4f38a455be37d321ba, 0x0048b5], + ), + F::from_limbs( + [0xea9f6b8c112bc277e7985eccea0a2e, 0x7c085d210cfbe40133b24b6a04e398, 0x002b38], + ), + F::from_limbs( + [0xc2d66725116e6c0e39c5c0deac938d, 0x7b09d8722543e50d1ed404838c3942, 0x003c85], + ), + F::from_limbs( + [0xfacd9bdaeced92f1c63a3e21536c74, 0x2c49512b58044e2cb934051e4bcc10, 0x003768], + ), + F::from_limbs( + [0xc4f44254bfe3f098c01ebb90ee775e, 0x6d9caec03381a9ee3c0868e70f5777, 0x0043bc], + ), + F::from_limbs( + [0xf8afc0ab3e780e673fe1436f1188a3, 0x39b67add49c6894b9bffa0bac8addb, 0x003031], + ), + F::from_limbs( + [0xfddd235c7a98ac608be7900aae3100, 0xa244819154424d60ebf9f5ac99f13f, 0x005cb7], + ), + F::from_limbs( + [0xbfc6dfa383c3529f74186ef551cf01, 0x050ea80c2905e5d8ec0e13f53e1413, 0x001736], + ), + F::from_limbs( + [0x4a0fd486334f79d808d5c0d3ae1f12, 0x9daab2457724a2a6708e58d280c315, 0x005ac9], + ), + F::from_limbs( + [0x73942e79cb0c8527f72a3e2c51e0ef, 0x09a87758062390936779b0cf57423e, 0x001924], + ), + F::from_limbs( + [0xea8c83047a0348092bc156145ae3be, 0x6498d3d08cd0b43f4591e262934f10, 0x001299], + ), + F::from_limbs( + [0xd3177ffb8458b6f6d43ea8eba51c43, 0x42ba55ccf0777efa9276273f44b642, 0x006154], + ), + F::from_limbs( + [0xc9e71e9ad981f3f9bee777f505a670, 0xa66cf5599656047e8cec0c7be22c07, 0x0015ed], + ), + F::from_limbs( + [0xf3bce46524da0b064118870afa5991, 0x00e63443e6f22ebb4b1bfd25f5d94b, 0x005e00], + ), + F::from_limbs( + [0xaa95c116471933d23a4a114812d636, 0x1521f33b59d5e1255a25981421ff14, 0x0052c0], + ), + F::from_limbs( + [0x130e41e9b742cb2dc5b5edb7ed29cb, 0x92313662237252147de2718db6063f, 0x00212d], + ), + F::from_limbs( + [0xd54a83f5ca1be3e25cfe9c39fa442b, 0xf39fdb8f4cc1ff72289a55de1ef66f, 0x003042], + ), + F::from_limbs( + [0xe8597f0a34401b1da30162c605bbd6, 0xb3b34e0e308633c7af6db3c3b90ee3, 0x0043aa], + ), + F::from_limbs( + [0x6df133f7321a25f20ce8d579e35cee, 0xa3f774f19f1ff7a8b04d2828931d48, 0x0018c6], + ), + F::from_limbs( + [0x4fb2cf08cc41d90df31729861ca313, 0x035bb4abde283b9127bae17944e80b, 0x005b27], + ), + F::from_limbs( + [0x0f9d3b81d8d23eded4a5f256a9c7fa, 0xe84cc460e97596051ddbd646a327cd, 0x00211d], + ), + F::from_limbs( + [0xae06c77e2589c0212b5a0ca9563807, 0xbf06653c93d29d34ba2c335b34dd86, 0x0052cf], + ), + F::from_limbs( + [0x6d32c4bc785ddf8f84dcc764345e6f, 0x440f93c3062bad415ce2d67286aaff, 0x005d3d], + ), + F::from_limbs( + [0x50713e4385fe1f707b23379bcba192, 0x634395da771c85f87b25332f515a54, 0x0016b0], + ), + F::from_limbs( + [0x65f7f950b8ea85342030e7ba39b3a6, 0x509b496b983f565de17858f422f2df, 0x002b01], + ), + F::from_limbs( + [0x57ac09af457179cbdfcf1745c64c5b, 0x56b7e031e508dcdbf68fb0adb51274, 0x0048ec], + ), + F::from_limbs( + [0x0cf136ceac4b7be81282d9762849c5, 0x475dcfa943c0ac10e91b6361e98f4d, 0x004e05], + ), + F::from_limbs( + [0xb0b2cc3152108317ed7d2589d7b63c, 0x5ff559f439878728eeeca63fee7606, 0x0025e8], + ), + F::from_limbs( + [0xf5a38f02d0d9e3f6e035ff20282882, 0x92eb3eb00addf10be3c3f4a15ce3d9, 0x004f48], + ), + F::from_limbs( + [0xc80073fd2d821b091fc9ffdfd7d77f, 0x1467eaed726a422df44415007b2179, 0x0024a5], + ), + F::from_limbs( + [0x15abe4dc2aec8fda060609b2b47d85, 0x138145182f544c8a68d80bcba67af2, 0x0069de], + ), + F::from_limbs( + [0xa7f81e23d36f6f25f9f9f54d4b827c, 0x93d1e4854df3e6af6f2ffdd6318a61, 0x000a0f], + ), + F::from_limbs( + [0x1876aef7cc205e21ae42d827deca30, 0x6f29f2073a63626669c7c06691d161, 0x0010c7], + ), + F::from_limbs( + [0xa52d5408323ba0de51bd26d82135d1, 0x3829379642e4d0d36e40493b4633f2, 0x006326], + ), + F::from_limbs( + [0xd8e98cba8c851f53dbcceebb1aec4c, 0x7da509b2c067c30ab0c323dcd93343, 0x005edb], + ), + F::from_limbs( + [0xe4ba764571d6dfac24331044e513b5, 0x29ae1feabce0702f2744e5c4fed20f, 0x001512], + ), + F::from_limbs( + [0x34466bd37b654e75fbe2738ef6ec21, 0xf7bdf6d2576613871ea55580a605e5, 0x002f9e], + ), + F::from_limbs( + [0x895d972c82f6b08a041d8b710913e0, 0xaf9532cb25e21fb2b962b42131ff6e, 0x00444e], + ), + F::from_limbs( + [0xe3d5c95963601cef87c9f995096338, 0x788108ad69a5b53f9e776978ee912d, 0x0022c0], + ), + F::from_limbs( + [0xd9ce39a69afbe2107836056af69cc9, 0x2ed220f013a27dfa3990a028e97425, 0x00512d], + ), + F::from_limbs( + [0xa52764195066cb368bf892d23cfbea, 0x4ffc4e3af3f346bc2d29fe6ef3b600, 0x0000a1], + ), + F::from_limbs( + [0x187c9ee6adf533c974076c2dc30417, 0x5756db628954ec7daade0b32e44f53, 0x00734c], + ), + F::from_limbs( + [0xe7644948035d564c122ce446b3b25c, 0xf7e46fad681a2e91cb91310e85e484, 0x003e4b], + ), + F::from_limbs( + [0xd63fb9b7fafea8b3edd31ab94c4da5, 0xaf6eb9f0152e04a80c76d8935220ce, 0x0035a1], + ), + F::from_limbs( + [0xf2d9bfd5140d699cc42e43382e70a4, 0x083148cb1058349ee0fb910de629c0, 0x001bdd], + ), + F::from_limbs( + [0xcaca432aea4e95633bd1bbc7d18f5d, 0x9f21e0d26ceffe9af70c7893f1db92, 0x005810], + ), + F::from_limbs( + [0xff8a227dfd1dec38fa67bcd4f84471, 0xbd7da7f332978a73656310ab4c6c08, 0x0066e4], + ), + F::from_limbs( + [0xbe19e082013e12c70598422b07bb90, 0xe9d581aa4ab0a8c672a4f8f68b994a, 0x000d08], + ), + F::from_limbs( + [0xdac5574c6b36285f26172cbdae7696, 0x467880c3870fe5f29a8023d2eb1261, 0x001a74], + ), + F::from_limbs( + [0xe2deabb39325d6a0d9e8d24251896b, 0x60daa8d9f6384d473d87e5ceecf2f1, 0x005979], + ), + F::from_limbs( + [0x092a39c6a48f459c533e348b6eff5f, 0x1db7d0376a78528b2ecd3ea8ae6c56, 0x0011e5], + ), + F::from_limbs( + [0xb479c93959ccb963acc1ca749100a2, 0x899b596612cfe0aea93acaf92998fd, 0x006208], + ), + F::from_limbs( + [0x209c683b1f1277f13eb4a91bb6a4f8, 0xdb28617d36ba715ec5ec903e27b135, 0x0051e8], + ), + F::from_limbs( + [0x9d079ac4df49870ec14b55e4495b09, 0xcc2ac820468dc1db121b7963b0541e, 0x002204], + ), + F::from_limbs( + [0x39d9bec3468ebe119a0380eb0bbdd4, 0xf5fcf2b2518e4d3d9ef4fd3ca74c1a, 0x00493d], + ), + F::from_limbs( + [0x83ca443cb7cd40ee65fc7e14f4422d, 0xb15636eb2bb9e5fc39130c6530b939, 0x002aaf], + ), + F::from_limbs( + [0xc036c97cdeccdb1309e8f8e477af4b, 0x633fec31a36e9a52920637cefbb3a0, 0x0053b9], + ), + F::from_limbs( + [0xfd6d39831f8f23ecf617061b8850b6, 0x44133d6bd9d998e74601d1d2dc51b2, 0x002034], + ), + F::from_limbs( + [0xb83acfc8e1fc9f12f727121ee0964a, 0x4d4c275307f975b7d7ce0cb29b36bc, 0x0017fa], + ), + F::from_limbs( + [0x056933371c5f5fed08d8ece11f69b7, 0x5a07024a754ebd820039fcef3cce97, 0x005bf3], + ), + F::from_limbs( + [0x59be7af6c293cfd283f3b304941cef, 0x20f7ffe182d1e66aa095c3e85fc919, 0x0072b6], + ), + F::from_limbs( + [0x63e588093bc82f2d7c0c4bfb6be312, 0x865b29bbfa764ccf377245b9783c3a, 0x000137], + ), + F::from_limbs( + [0x03249c8429f87e6844532496014769, 0xf040e1fdfca4b40f89ddd68b08bfde, 0x000116], + ), + F::from_limbs( + [0xba7f667bd4638097bbacda69feb898, 0xb712479f80a37f2a4e2a3316cf4575, 0x0072d6], + ), + F::from_limbs( + [0x9356da41aa6f8f02e7836bb3ab600d, 0x64c674e3478a1a81fdfbfaf9e23819, 0x00690f], + ), + F::from_limbs( + [0x2a4d28be53ec6ffd187c934c549ff4, 0x428cb4ba35be18b7da0c0ea7f5cd3a, 0x000ade], + ), + F::from_limbs( + [0xcf83fe0ae1e6a534ea9661ff26117d, 0xfe13068acf76d38555ddf2b6be9f66, 0x005e47], + ), + F::from_limbs( + [0xee2004f51c7559cb15699d00d9ee84, 0xa9402312add15fb4822a16eb1965ec, 0x0015a5], + ), + F::from_limbs( + [0xad1740d605853de7454aa702a3c258, 0x76c88e274f02c447c149769ccad950, 0x0000a0], + ), + F::from_limbs( + [0x108cc229f8d6c118bab557fd5c3da9, 0x308a9b762e456ef216be93050d2c03, 0x00734d], + ), + F::from_limbs( + [0xaec3d9a57ccd3297472f2054fecfd5, 0xb9661959f10d1a81eafd4497a5304a, 0x0054dd], + ), + F::from_limbs( + [0x0ee0295a818ecc68b8d0deab01302c, 0xeded10438c3b18b7ed0ac50a32d509, 0x001f0f], + ), + F::from_limbs( + [0xd7652e15e99c4fa549c326bd5ec839, 0x7e6d3b984ce333a79fcc2c033c1a9e, 0x0029e0], + ), + F::from_limbs( + [0xe63ed4ea14bfaf5ab63cd842a137c8, 0x28e5ee053064ff92383bdd9e9beab4, 0x004a0d], + ), + F::from_limbs( + [0x4c88ff93efa64a2f0a407c5295fb98, 0xfac010dea4409740b7a0a0fd537819, 0x005882], + ), + F::from_limbs( + [0x711b036c0eb5b4d0f5bf82ad6a0469, 0xac9318bed9079bf9206768a4848d3a, 0x001b6a], + ), + F::from_limbs( + [0x5e84d56af0f9ca4f7f8d52f0dc3992, 0x3119b933616cdbe1801187d7696ce6, 0x001772], + ), + F::from_limbs( + [0x5f1f2d950d6234b08072ac0f23c66f, 0x7639706a1bdb575857f681ca6e986d, 0x005c7b], + ), + F::from_limbs( + [0x1f60d0941e92cd6a0c566da29d6b4e, 0x36ed69e2548982af2ca67090f30a51, 0x0007ca], + ), + F::from_limbs( + [0x9e43326bdfc93195f3a9915d6294b3, 0x7065bfbb28beb08aab619910e4fb02, 0x006c23], + ), + F::from_limbs( + [0xe983b035dd777461db389f0c72ef67, 0xaaa63a9561e15c725eab59b885b4dc, 0x000a23], + ), + F::from_limbs( + [0xd42052ca20e48a9e24c75ff38d109a, 0xfcacef081b66d6c7795cafe9525076, 0x0069c9], + ), + F::from_limbs( + [0x1026bb7cc4a92cb1a5916f0c03c77e, 0x52872cea0502fba135f7b61b767f8b, 0x00673d], + ), + F::from_limbs( + [0xad7d478339b2d24e5a6e8ff3fc3883, 0x54cbfcb378453798a21053866185c8, 0x000cb0], + ), + F::from_limbs( + [0xcc96ca4f8ddbb2b42b0658a8edfb6b, 0x43de3052b6648a3783538c1c28ad2f, 0x005c9c], + ), + F::from_limbs( + [0xf10d38b070804c4bd4f9a657120496, 0x6374f94ac6e3a90254b47d85af5823, 0x001751], + ), + F::from_limbs( + [0xf152a3c0f1c231ff49725a1870375c, 0xf7d3c4edc935ffc2941254837a46d2, 0x006b82], + ), + F::from_limbs( + [0xcc515f3f0c99cd00b68da4e78fc8a5, 0xaf7f64afb412337743f5b51e5dbe80, 0x00086a], + ), + F::from_limbs( + [0x9f913cac2cc77977ee6e82bfd3a1f9, 0xad1a0314eff2961eaed1c485488a76, 0x00706e], + ), + F::from_limbs( + [0x1e12c653d194858811917c402c5e08, 0xfa3926888d559d1b2936451c8f7add, 0x00037e], + ), + F::from_limbs( + [0x2ae97a5238177d86f50a21463dd536, 0x89498b4a364c53f06d7099b29ccb04, 0x004723], + ), + F::from_limbs( + [0x92ba88adc64481790af5ddb9c22acb, 0x1e099e5346fbdf496a976fef3b3a4f, 0x002cca], + ), + F::from_limbs( + [0xb3b215b2a1cb8a7d5e2afb958221be, 0xa16e424912fc4b00c302811881c325, 0x0021e9], + ), + F::from_limbs( + [0x09f1ed4d5c907482a1d5036a7dde43, 0x05e4e7546a4be8391505888956422e, 0x005204], + ), + F::from_limbs( + [0x4e85ecd63f5c377a6298c0d8230e4f, 0x740ddd00e10d2b0611c4592c433219, 0x0062fa], + ), + F::from_limbs( + [0x6f1e1629beffc7859d673e27dcf1b2, 0x33454c9c9c3b0833c643b07594d33a, 0x0010f3], + ), + F::from_limbs( + [0xe9678b025e60f28b161ada6afe9538, 0xf7a59a09cbe80551530ffb9aa031dd, 0x0027b8], + ), + F::from_limbs( + [0xd43c77fd9ffb0c74e9e52495016ac9, 0xafad8f93b1602de884f80e0737d375, 0x004c34], + ), + F::from_limbs( + [0x7ff15c409eef5bc3a92ef2ca3fd8cc, 0xfb4c9980bb944a5586179e02d5dc88, 0x004869], + ), + F::from_limbs( + [0x3db2a6bf5f6ca33c56d10c35c02735, 0xac06901cc1b3e8e451f06b9f0228cb, 0x002b83], + ), + F::from_limbs( + [0x85709d15b42a3e0c14b9b4139f47cc, 0xb392702c989dd317c3b03bc4cc00cc, 0x006104], + ), + F::from_limbs( + [0x383365ea4a31c0f3eb464aec60b835, 0xf3c0b970e4aa60221457cddd0c0487, 0x0012e8], + ), + F::from_limbs( + [0xd0d4498d8b5ced307b71c0af325c62, 0x9d954e4bc32d2071129882629c2840, 0x00278e], + ), + F::from_limbs( + [0xeccfb97272ff11cf848e3e50cda39f, 0x09bddb51ba1b12c8c56f873f3bdd12, 0x004c5f], + ), + F::from_limbs( + [0x525b7e8ba1b24d98d86a7929758ccd, 0x15da7d5d01b023f671701bbd40ca3b, 0x006b5e], + ), + F::from_limbs( + [0x6b4884745ca9b167279585d68a7334, 0x9178ac407b980f436697ede4973b18, 0x00088f], + ), + F::from_limbs( + [0x908e545d34e2793c0867a94b248b6c, 0x7d213aed98fd4b3905264a3e4317e5, 0x006bcc], + ), + F::from_limbs( + [0x2d15aea2c97985c3f79855b4db7495, 0x2a31eeafe44ae800d2e1bf6394ed6e, 0x000821], + ), + F::from_limbs( + [0xc94cff0b73a8b9be2ad0a5f63874ba, 0xed38e13513aa7562ef27c3910418f9, 0x0056f9], + ), + F::from_limbs( + [0xf45703f48ab34541d52f5909c78b47, 0xba1a4868699dbdd6e8e04610d3ec59, 0x001cf3], + ), + F::from_limbs( + [0x36fe219d2f1ca32551d25163a57d86, 0xa592c8e79d78eb4ed97a2ea201b711, 0x002f18], + ), + F::from_limbs( + [0x86a5e162cf3f5bdaae2dad9c5a827b, 0x01c060b5dfcf47eafe8ddaffd64e42, 0x0044d5], + ), + F::from_limbs( + [0xa4784e5cefc9be2e1b980e4cafe433, 0x577770c381e5cbe1a229495b4b99c7, 0x0042db], + ), + F::from_limbs( + [0x192bb4a30e9240d1e467f0b3501bce, 0x4fdbb8d9fb62675835dec0468c6b8c, 0x003112], + ), + F::from_limbs( + [0xb3c2c92942824865084a31ecb924fa, 0x2a1ecf656d32a30763627a6886702e, 0x001c62], + ), + F::from_limbs( + [0x09e139d6bbd9b69af7b5cd1346db07, 0x7d345a381015903274a58f39519525, 0x00578b], + ), + F::from_limbs( + [0x3d902f03551049f127d7c393e202c0, 0xf9cfd3370d6c944417a9fc1f8cfeb5, 0x00056b], + ), + F::from_limbs( + [0x8013d3fca94bb50ed8283b6c1dfd41, 0xad8356666fdb9ef5c05e0d824b069e, 0x006e81], + ), + F::from_limbs( + [0x4ba5d295058ca307a2b4097373ef5a, 0x85b55ab26d8ac390432f293555e2ba, 0x001d20], + ), + F::from_limbs( + [0x71fe306af8cf5bf85d4bf58c8c10a7, 0x219dceeb0fbd6fa994d8e06c822299, 0x0056cd], + ), + F::from_limbs( + [0xc2c4351645ca60d00d8e28e597ebb9, 0x937f818d465e2b8a21cbde1084c7d2, 0x0019b8], + ), + F::from_limbs( + [0xfadfcde9b8919e2ff271d61a681448, 0x13d3a81036ea07afb63c2b91533d80, 0x005a35], + ), + F::from_limbs( + [0x449d265c117b30c24ac967f93d8b01, 0xb6bfa3edb16c0360158fd6702a37e9, 0x00141f], + ), + F::from_limbs( + [0x7906dca3ece0ce3db5369706c27500, 0xf09385afcbdc2fd9c2783331adcd6a, 0x005fcd], + ), + F::from_limbs( + [0x3651759b44053677b99f0eca393e84, 0xa01b180d7fc3a4c3b9f74a56ca0543, 0x00077b], + ), + F::from_limbs( + [0x87528d64ba56c8884660f035c6c17d, 0x0738118ffd848e761e10bf4b0e0010, 0x006c72], + ), + F::from_limbs( + [0x5c324df87197f007401cd383ea6433, 0x19ddb92d997b13b0e0ff9f159f428e, 0x006b23], + ), + F::from_limbs( + [0x6171b5078cc40ef8bfe32b7c159bce, 0x8d75706fe3cd1f88f7086a8c38c2c5, 0x0008ca], + ), + F::from_limbs( + [0xa3ed8c7d553c366294367b3eef0647, 0x6b11dbd832ff1fb4c9583417520f25, 0x0008b2], + ), + F::from_limbs( + [0x19b67682a91fc89d6bc983c110f9ba, 0x3c414dc54a4913850eafd58a85f62e, 0x006b3b], + ), + F::from_limbs( + [0x9f779c216532e9654dff9acfc27353, 0xbb20340e48cb13a9b86723f41d63bd, 0x002365], + ), + F::from_limbs( + [0x1e2c66de9929159ab20064303d8cae, 0xec32f58f347d1f901fa0e5adbaa196, 0x005087], + ), + F::from_limbs( + [0x4badbde5b349d3512f0d5b5d19ba24, 0x6365555433d7803a1a95d55fc37552, 0x004e56], + ), + F::from_limbs( + [0x71f6451a4b122baed0f2a3a2e645dd, 0x43edd4494970b2ffbd723442149001, 0x002597], + ), + F::from_limbs( + [0x0acf4a881882c49d95b848783baff6, 0x6ef4daa39a3398ecd2bc6003abf49e, 0x004b0e], + ), + F::from_limbs( + [0xb2d4b877e5d93a626a47b687c4500b, 0x385e4ef9e3149a4d054ba99e2c10b5, 0x0028df], + ), + F::from_limbs( + [0xff7db1e208ca5762d37d2f50142c1d, 0x1798ccc9781075e48186a0f936f2f9, 0x00655b], + ), + F::from_limbs( + [0xbe26511df591a79d2c82cfafebd3e4, 0x8fba5cd40537bd55568168a8a11259, 0x000e92], + ), + F::from_limbs( + [0xe4385aa59379304eb87f06f3052074, 0xb8a802a174ea379ba1457efc2e2881, 0x0011f9], + ), + F::from_limbs( + [0xd96ba85a6ae2ceb14780f80cfadf8d, 0xeeab26fc085dfb9e36c28aa5a9dcd1, 0x0061f3], + ), + F::from_limbs( + [0xec510028ee108633efbda071957818, 0x8ee91d8b9f540e171f160493e14fee, 0x0003a1], + ), + F::from_limbs( + [0xd15302d7104b78cc10425e8e6a87e9, 0x186a0c11ddf42522b8f2050df6b564, 0x00704c], + ), + F::from_limbs( + [0xa7bbb5ec527557ba4fa14e54bbedf6, 0x417cb0e82b9ffd191ef6acc3e59f9d, 0x000c5e], + ), + F::from_limbs( + [0x15e84d13abe6a745b05eb0ab44120b, 0x65d678b551a83620b9115cddf265b6, 0x00678f], + ), + F::from_limbs( + [0xc024153f96227a1683c9b2579ec673, 0x898d8eda40f85e2f7f8a626b1f2011, 0x0035fc], + ), + F::from_limbs( + [0xfd7fedc0683984e97c364ca861398e, 0x1dc59ac33c4fd50a587da736b8e541, 0x003df1], + ), + F::from_limbs( + [0xe952a25430c3b9c15e92b69fb876f2, 0x4d58a5b97c0d1ffa0fefe7651f7418, 0x004a57], + ), + F::from_limbs( + [0xd45160abcd98453ea16d486047890f, 0x59fa83e4013b133fc818223cb8913a, 0x002996], + ), + F::from_limbs( + [0xc16e47ee9344e623a5a02af7352846, 0x1570af1eaed89534129c442b9b50b0, 0x0039b2], + ), + F::from_limbs( + [0xfc35bb116b1718dc5a5fd408cad7bb, 0x91e27a7ece6f9e05c56bc5763cb4a2, 0x003a3b], + ), + F::from_limbs( + [0xc9ff6bc17ee0c0300dcd481613376a, 0xf4786d303126047688651a184c8190, 0x003750], + ), + F::from_limbs( + [0xf3a4973e7f7b3ecff232b6e9ecc897, 0xb2dabc6d4c222ec34fa2ef898b83c2, 0x003c9c], + ), + F::from_limbs( + [0xe47938602798ee2feabcab1eb5c580, 0x8bd6fa1e279cd00145595a25cf22fa, 0x000af4], + ), + F::from_limbs( + [0xd92aca9fd6c310d0154353e14a3a81, 0x1b7c2f7f55ab633892aeaf7c08e258, 0x0068f9], + ), + F::from_limbs( + [0x82450dbe073be8162efe65f1c2b990, 0xe506ed3420bd548b26494c5a621e78, 0x002335], + ), + F::from_limbs( + [0x3b5ef541f72016e9d101990e3d4671, 0xc24c3c695c8adeaeb1bebd4775e6db, 0x0050b7], + ), + F::from_limbs( + [0x1a903d8f52d2a90dff66838d9c7fbd, 0x8a08974d8c1bf1ec877e19a187e39b, 0x004c87], + ), + F::from_limbs( + [0xa313c570ab8955f200997b72638044, 0x1d4a924ff12c414d5089f0005021b8, 0x002766], + ), + F::from_limbs( + [0x96c3746709260726d987fa9e3bbed3, 0xa27be85055e8b203921cd6971c63e4, 0x004e25], + ), + F::from_limbs( + [0x26e08e98f535f7d926780461c4412e, 0x04d7414d275f813645eb330abba16f, 0x0025c8], + ), + F::from_limbs( + [0xbdee817f227e486819b9b9795c3e0f, 0x00154a61744cbb7789c88db15913ad, 0x000d03], + ), + F::from_limbs( + [0xffb58180dbddb697e6464586a3c1f2, 0xa73ddf3c08fb77c24e3f7bf07ef1a5, 0x0066ea], + ), + F::from_limbs( + [0x07a6e79adda5afa3109ba77f2518c7, 0x867bd40a744e3d649126de0af18e82, 0x0063ea], + ), + F::from_limbs( + [0xb5fd1b6520b64f5cef645780dae73a, 0x20d7559308f9f5d546e12b96e676d1, 0x001003], + ), + F::from_limbs( + [0x5b78d7ad57b0f38547116436757283, 0xfdd66062acb5a269327c0efa5e5c8c, 0x004514], + ), + F::from_limbs( + [0x622b2b52a6ab0b7ab8ee9ac98a8d7e, 0xa97cc93ad09290d0a58bfaa779a8c7, 0x002ed8], + ), + F::from_limbs( + [0xa56f61a006515a17be1566d99a7483, 0x4f501ad75aad02dac68288140c42da, 0x0043c5], + ), + F::from_limbs( + [0x1834a15ff80aa4e841ea9826658b7e, 0x58030ec6229b305f1185818dcbc279, 0x003028], + ), + F::from_limbs( + [0x065584e021791f1391419338a0badc, 0xe82a30c630237655b39804b4c4a0e3, 0x003951], + ), + F::from_limbs( + [0xb74e7e1fdce2dfec6ebe6bc75f4525, 0xbf28f8d74d24bce4247004ed136470, 0x003a9b], + ), + F::from_limbs( + [0xf92ae474cef12d5145aca500592c77, 0x9d1eaf1c0b155b90729187a8961bf7, 0x000c7c], + ), + F::from_limbs( + [0xc4791e8b2f6ad1aeba5359ffa6d38a, 0x0a347a817232d7a9657681f941e95b, 0x006771], + ), + F::from_limbs( + [0x97eb526090f342f807dc397d6d14ee, 0x13ef0677dcd750c7a1520e76702560, 0x00627c], + ), + F::from_limbs( + [0x25b8b09f6d68bc07f823c58292eb13, 0x93642325a070e27236b5fb2b67dff3, 0x001171], + ), + F::from_limbs( + [0x94ea7f998e3036d6bed2498a5d8638, 0x448b1d5cbea6dfc72166834e512278, 0x003922], + ), + F::from_limbs( + [0x28b98366702bc829412db575a279c9, 0x62c80c40bea15372b6a1865386e2db, 0x003acb], + ), + F::from_limbs( + [0xff614331a1c5ee416c0cec37d6d1e3, 0x358697a1948bdde939ccba7d1a0b56, 0x006912], + ), + F::from_limbs( + [0xbe42bfce5c9610be93f312c8292e1e, 0x71cc91fbe8bc55509e3b4f24bdf9fc, 0x000adb], + ), + F::from_limbs( + [0xf453443751352cd5ec27c20801dd0c, 0xe39b16faf7c46cc7ac221e46db195c, 0x005428], + ), + F::from_limbs( + [0xc950bec8ad26d22a13d83cf7fe22f5, 0xc3b812a28583c6722be5eb5afcebf6, 0x001fc4], + ), + F::from_limbs( + [0x55db26760dbddac00db50a8b455478, 0xd94bd5ed9311a8d9ff5e4d8aea5817, 0x001b03], + ), + F::from_limbs( + [0x67c8dc89f09e243ff24af474baab89, 0xce0753afea368a5fd8a9bc16edad3c, 0x0058e9], + ), + F::from_limbs( + [0x49b65c7d1fed03f5b384a538296000, 0x7c3942fa7cfd9aed68d099c5eb4e62, 0x006288], + ), + F::from_limbs( + [0x73eda682de6efb0a4c7b59c7d6a001, 0x2b19e6a3004a984c6f376fdbecb6f1, 0x001165], + ), + F::from_limbs( + [0x3a5b42deb5e4c1b66d42eea88ef658, 0xd75572234819e092ac4898119b265f, 0x0020b2], + ), + F::from_limbs( + [0x8348c02148773d4992bd10577109a9, 0xcffdb77a352e52a72bbf71903cdef4, 0x00533a], + ), + F::from_limbs( + [0x9789fe6f5e6d87ec21011e1910e3f6, 0xddfe267b290a0c6b6dbfa5a338e877, 0x0062a3], + ), + F::from_limbs( + [0x261a04909fee7713defee0e6ef1c0b, 0xc9550322543e26ce6a4863fe9f1cdc, 0x001149], + ), + F::from_limbs( + [0x4759df07c81cf588e130df905786d7, 0xe1eeb4fc8bcd8ed5ffac85a790ec7a, 0x000af2], + ), + F::from_limbs( + [0x764a23f8363f09771ecf1f6fa8792a, 0xc56474a0f17aa463d85b83fa4718d9, 0x0068fa], + ), + F::from_limbs( + [0x5186929cb753ce8a84298fd3ddf34c, 0xba25714e3e69008fab821a3ee08d64, 0x006086], + ), + F::from_limbs( + [0x6c1d7063470830757bd66f2c220cb5, 0xed2db84f3edf32aa2c85ef62f777ef, 0x001366], + ), + F::from_limbs( + [0xe7a0348b8faec254f0afb89d963fea, 0x64ab3a29297f3027fbcec0f933fe6b, 0x003eee], + ), + F::from_limbs( + [0xd603ce746ead3cab0f50466269c017, 0x42a7ef7453c90311dc3948a8a406e7, 0x0034ff], + ), + F::from_limbs( + [0x3b845b65ff13ce04b81c740d89cb54, 0xd4ceaa3502758601997f45fa4a4b00, 0x0049b8], + ), + F::from_limbs( + [0x821fa799ff4830fb47e38af27634ad, 0xd2847f687ad2ad383e88c3a78dba53, 0x002a34], + ), + F::from_limbs( + [0xe365db905d5bbf2f11ec355270b1d7, 0x6c686f4d606c07c39a15c300ab83e5, 0x004b5f], + ), + F::from_limbs( + [0xda3e276fa1003fd0ee13c9ad8f4e2a, 0x3aeaba501cdc2b763df246a12c816d, 0x00288e], + ), + F::from_limbs( + [0xe2d540a29e52cd9cab5805fc609431, 0xba317c9334f608b7a43373d7cd3962, 0x006450], + ), + F::from_limbs( + [0xdacec25d6009316354a7f9039f6bd0, 0xed21ad0a48522a8233d495ca0acbf0, 0x000f9c], + ), + F::from_limbs( + [0x2b493a84dfb36896b6a5c9464cd413, 0x24db15ec7c17375f6988a630da2245, 0x006eb6], + ), + F::from_limbs( + [0x925ac87b1ea89669495a35b9b32bee, 0x827813b10130fbda6e7f6370fde30e, 0x000537], + ), + F::from_limbs( + [0x9b4d224b0528c83d046a082716bcad, 0x86515fbcd4407b19ef363b2e531257, 0x002064], + ), + F::from_limbs( + [0x2256e0b4f93336c2fb95f6d8e94354, 0x2101c9e0a907b81fe8d1ce7384f2fc, 0x005389], + ), + F::from_limbs( + [0xeb12eb2761d20c77841793f2e1f3bd, 0xf7216cd9a914d05c53c86f28bcf1f1, 0x00683d], + ), + F::from_limbs( + [0xd29117d89c89f2887be86b0d1e0c44, 0xb031bcc3d43362dd843f9a791b1361, 0x000baf], + ), + F::from_limbs( + [0x8beb6ddae7129a65bf313b1012d3c3, 0x6543cac258cb9e754890fcc1363893, 0x003e2d], + ), + F::from_limbs( + [0x31b895251749649a40cec3efed2c3e, 0x420f5edb247c94c48f770ce0a1ccc0, 0x0035c0], + ), + F::from_limbs( + [0xedd3f0704fcd8f277505ba720effe1, 0xa8a8ede82d0fb1e20890ceda6f1723, 0x0043a3], + ), + F::from_limbs( + [0xcfd0128fae8e6fd88afa448df10020, 0xfeaa3bb550388157cf773ac768ee2f, 0x003049], + ), + F::from_limbs( + [0xd1ce9ac4ad54c9e879678fda473b16, 0xae4c1953da0602d3749c19fa0c5093, 0x0056cb], + ), + F::from_limbs( + [0xebd5683b5107351786986f25b8c4eb, 0xf9071049a3423066636befa7cbb4bf, 0x001d21], + ), + F::from_limbs( + [0xa589adcd54196cf6b1a5c2e3dca6d2, 0xfd08c1065f9bee4333f2689c749b27, 0x000dba], + ), + F::from_limbs( + [0x181a5532aa4292094e5a3c1c23592f, 0xaa4a68971dac44f6a415a105636a2c, 0x006632], + ), + F::from_limbs( + [0x2f8dfa512822d59b3f666708cf6ab9, 0xd0072ac754cfe2a8f07114efb1bbae, 0x002c53], + ), + F::from_limbs( + [0x8e1608aed6392964c09997f7309548, 0xd74bfed628785090e796f4b22649a5, 0x004799], + ), + F::from_limbs( + [0xc31a16ae503a1dbb4d3aef9624f018, 0xe6e12b03a3ac400f72460d090590de, 0x004c37], + ), + F::from_limbs( + [0xfa89ec51ae21e144b2c50f69db0fe9, 0xc071fe99d99bf32a65c1fc98d27474, 0x0027b5], + ), + F::from_limbs( + [0x8cd6fdc62b7832b8bc7c0276b4eb5c, 0x0c57398282e4d2ba7b1aeab16b3187, 0x004445], + ), + F::from_limbs( + [0x30cd0539d2e3cc474383fc894b14a5, 0x9afbf01afa63607f5ced1ef06cd3cc, 0x002fa8], + ), + F::from_limbs( + [0x56f9dc800d97f131c91d435c7c321f, 0xe64eb0a6f68528607cdf9e439ef7d2, 0x00469d], + ), + F::from_limbs( + [0x66aa267ff0c40dce36e2bba383cde2, 0xc10478f686c30ad95b286b5e390d81, 0x002d4f], + ), + F::from_limbs( + [0x4b10df195a1e62c5f3a1fed8434f96, 0x7b876a5c766a1e9f60b772f6f9d3e6, 0x000afd], + ), + F::from_limbs( + [0x729323e6a43d9c3a0c5e0027bcb06b, 0x2bcbbf4106de149a775096aade316d, 0x0068f0], + ), + F::from_limbs( + [0xfbd130f283c5b69e922efa201850aa, 0x6ccf34bf27600b6ce3857940d09152, 0x001f8c], + ), + F::from_limbs( + [0xc1d2d20d7a9648616dd104dfe7af57, 0x3a83f4de55e827ccf4829061077400, 0x005461], + ), + F::from_limbs( + [0xa6a757eea27f2fa9af23aa807c2be1, 0x059ee3a1b642e96a613abae5c1d9bc, 0x005306], + ), + F::from_limbs( + [0x16fcab115bdccf5650dc547f83d420, 0xa1b445fbc70549cf76cd4ebc162b97, 0x0020e7], + ), + F::from_limbs( + [0xec67bec93ed7b8fcc288eadc69885e, 0xb2024f06f16a517e48c887951e3cc8, 0x004547], + ), + F::from_limbs( + [0xd13c4436bf8446033d7714239677a3, 0xf550da968bdde1bb8f3f820cb9c88a, 0x002ea5], + ), + F::from_limbs( + [0x2257110db62c1989285663ad98ee1f, 0x5151c6756d96e98d0ff23a9eb5a0ae, 0x0020d4], + ), + F::from_limbs( + [0x9b4cf1f2482fe576d7a99b526711e2, 0x560163280fb149acc815cf032264a5, 0x005319], + ), + F::from_limbs( + [0x0edb74177d38a4ad4cd59e471baa4d, 0x9e2545372c7b28f86f4786ee953296, 0x006cfe], + ), + F::from_limbs( + [0xaec88ee881235a52b32a60b8e455b4, 0x092de46650cd0a4168c082b342d2bd, 0x0006ef], + ), + F::from_limbs( + [0x412dab573abf941818f477fd67a800, 0x9584c239f193a789079521925a487d, 0x00439b], + ), + F::from_limbs( + [0x7c7657a8c39c6ae7e70b8702985801, 0x11ce67638bb48bb0d072e80f7dbcd6, 0x003052], + ), + F::from_limbs( + [0x7f2231c95ebaaa709feba3bd78dc6b, 0xca0f0381c911ddb1b93891f3063039, 0x0057ce], + ), + F::from_limbs( + [0x3e81d1369fa1548f60145b42872396, 0xdd44261bb43655881ecf77aed1d51a, 0x001c1e], + ), + F::from_limbs( + [0xde10ef35c170a32825b20112cdd5e9, 0xcd1b39a42a351e4dedee0a80e57d26, 0x002bd5], + ), + F::from_limbs( + [0xdf9313ca3ceb5bd7da4dfded322a18, 0xda37eff9531314ebea19ff20f2882c, 0x004817], + ), + F::from_limbs( + [0xdd1684a82174337180d4984f1ebc40, 0x3177280da2870d25a01bec21dfa01e, 0x002abe], + ), + F::from_limbs( + [0xe08d7e57dce7cb8e7f2b66b0e143c1, 0x75dc018fdac1261437ec1d7ff86534, 0x00492f], + ), + F::from_limbs( + [0x3d7f2a56a5a89fc8a744a668a546f7, 0x302ac56ea9dfeb1198dd3db79ebe10, 0x000a71], + ), + F::from_limbs( + [0x8024d8a958b35f3758bb58975ab90a, 0x7728642ed36848283f2acbea394743, 0x00697c], + ), + F::from_limbs( + [0x052f439346a8b05b12288d994b4771, 0xb9bad3328e426f695c45a377ddfd7e, 0x00682e], + ), + F::from_limbs( + [0xb874bf6cb7b34ea4edd77166b4b890, 0xed98566aef05c3d07bc26629fa07d5, 0x000bbe], + ), + F::from_limbs( + [0xba62b0c4e030ef1f583b87d6ade6f9, 0x014d6c8e9858d2bbd398ad664ee592, 0x002257], + ), + F::from_limbs( + [0x0341523b1e2b0fe0a7c47729521908, 0xa605bd0ee4ef607e046f5c3b891fc1, 0x005196], + ), + F::from_limbs( + [0x21e6561a1920b10c72391c8a1cc159, 0x16faab48860710a81440947ef47c01, 0x0003e6], + ), + F::from_limbs( + [0x9bbdace5e53b4df38dc6e275e33ea8, 0x90587e54f7412291c3c77522e38952, 0x007007], + ), + F::from_limbs( + [0x8aa947145e5a1fec90dd2dde7b5bef, 0x1560147bf3b782cd30aa038c9c0d6a, 0x00520e], + ), + F::from_limbs( + [0x32fabbeba001df136f22d12184a412, 0x91f315218990b06ca75e06153bf7e9, 0x0021df], + ), + F::from_limbs( + [0x29f6779cbe3cee50df9925dcf2a32c, 0x5c422ae049929893a83fe0e4945804, 0x006de1], + ), + F::from_limbs( + [0x93ad8b63401f10af2066d9230d5cd5, 0x4b10febd33b59aa62fc828bd43ad4f, 0x00060c], + ), + F::from_limbs( + [0x1c29ca120a5e788da46467972393bf, 0x37a599bc3caad9f3d4cbc2d492945a, 0x006d29], + ), + F::from_limbs( + [0xa17a38edf3fd86725b9b9768dc6c42, 0x6fad8fe1409d5946033c46cd4570f9, 0x0006c4], + ), + F::from_limbs( + [0x8bdc93a30df3b872ba7cd748c22385, 0x0d6b5a03665f72c462365d4b3dd6b5, 0x0015a8], + ), + F::from_limbs( + [0x31c76f5cf068468d458327b73ddc7c, 0x99e7cf9a16e8c07575d1ac569a2e9e, 0x005e45], + ), + F::from_limbs( + [0x594d11234a23b7fd8eaaee8a4332e5, 0x6bbb0c03c90c1fc1bd3e89411619ec, 0x00539f], + ), + F::from_limbs( + [0x6456f1dcb438470271551075bccd1c, 0x3b981d99b43c13781ac98060c1eb67, 0x00204e], + ), + F::from_limbs( + [0xbe36f366cdac04fe33f22717ae9a38, 0x1bf270758c7cedda892c24b801fffa, 0x001fcf], + ), + F::from_limbs( + [0xff6d0f9930affa01cc0dd7e85165c9, 0x8b60b927f0cb455f4edbe4e9d60558, 0x00541e], + ), + F::from_limbs( + [0xa2bc16d1f444dd3d8631f87a66bd9b, 0xb86c4fe25686801afb3bb037c2a2a3, 0x006d81], + ), + F::from_limbs( + [0x1ae7ec2e0a1721c279ce0685994266, 0xeee6d9bb26c1b31edccc596a1562b0, 0x00066b], + ), + F::from_limbs( + [0x429fc4b615dc88fbaeb3bdb102cf18, 0x62c9a6820e51c2d5d0d5ef27c7e4d5, 0x003b8b], + ), + F::from_limbs( + [0x7b043e49e87f7604514c414efd30e9, 0x4489831b6ef6706407321a7a10207e, 0x003862], + ), + F::from_limbs( + [0xf771c7881bf39e9792c9e792201cec, 0xf49510f16df834c2564b0fa575d528, 0x000708], + ), + F::from_limbs( + [0xc6323b77e26860686d36176ddfe315, 0xb2be18ac0f4ffe7781bcf9fc62302a, 0x006ce4], + ), + F::from_limbs( + [0x032279af1aaeba30316f6a5cbe727c, 0xe71dd75bc2ecd64c8f0c367f618e97, 0x000c66], + ), + F::from_limbs( + [0xba818950e3ad44cfce9094a3418d85, 0xc0355241ba5b5ced48fbd3227676bc, 0x006786], + ), + F::from_limbs( + [0x95285f31f3aad9c2b862b5a29aa404, 0x4aebd7d15d91b9f6a3756239a7394f, 0x005c5c], + ), + F::from_limbs( + [0x287ba3ce0ab1253d479d495d655bfd, 0x5c6751cc1fb679433492a76830cc04, 0x001791], + ), + F::from_limbs( + [0x5e256b68b3e8a4cd3a2a932e00323d, 0x168e51f06071676c71539cd85de38c, 0x001e97], + ), + F::from_limbs( + [0x5f7e97974a735a32c5d56bd1ffcdc4, 0x90c4d7ad1cd6cbcd66b46cc97a21c7, 0x005556], + ), + F::from_limbs( + [0x87e437986d307d92538c02aa2f6e16, 0xb672f7fb05252c5e0d6a5b267af071, 0x006080], + ), + F::from_limbs( + [0x35bfcb67912b816dac73fc55d091eb, 0xf0e031a2782306dbca9dae7b5d14e2, 0x00136c], + ), + F::from_limbs( + [0x0c2482681b3eecc7d230d176d2502b, 0xd166744e9433dbc0ece48bd069c490, 0x005a31], + ), + F::from_limbs( + [0xb17f8097e31d12382dcf2d892dafd6, 0xd5ecb54ee9145778eb237dd16e40c3, 0x0019bb], + ), + F::from_limbs( + [0x86b8b99e949a02a08d6542914ee68a, 0x2a3b847f9576527c4feb08776b8971, 0x001129], + ), + F::from_limbs( + [0x36eb496169c1fc5f729abc6eb11977, 0x7d17a51de7d1e0bd881d012a6c7be2, 0x0062c4], + ), + F::from_limbs( + [0x4dcb7d01ac2baaa6a808ecba9ac50b, 0x596e3a73a678b5b2804924315b5201, 0x002545], + ), + F::from_limbs( + [0x6fd885fe5230545957f71245653af6, 0x4de4ef29d6cf7d8757bee5707cb352, 0x004ea8], + ), + F::from_limbs( + [0xac76cc4049dd79650254e725ec2473, 0x0e33010313dbc8d859f57cc1de01fe, 0x005030], + ), + F::from_limbs( + [0x112d36bfb47e859afdab17da13db8e, 0x9920289a696c6a617e128cdffa0355, 0x0023bd], + ), + F::from_limbs( + [0x998959ee6be9e2410139dd5d09fffd, 0xf17cbc4b985729a80acaddf2df26ce, 0x001503], + ), + F::from_limbs( + [0x241aa91192721cbefec621a2f60004, 0xb5d66d51e4f10991cd3d2baef8de85, 0x005ee9], + ), + F::from_limbs( + [0x71139ca7d67729c5bde460a2bdde47, 0x104a66cf8ad94927833498c5a6b856, 0x002bf7], + ), + F::from_limbs( + [0x4c90665827e4d53a421b9e5d4221ba, 0x9708c2cdf26eea1254d370dc314cfd, 0x0047f6], + ), + F::from_limbs( + [0x8b90011d36f27ab1f8b0fada34ec97, 0xa849a2a72f072104cea55f96f8dc55, 0x0036a4], + ), + F::from_limbs( + [0x321401e2c769844e074f0425cb136a, 0xff0986f64e4112350962aa0adf28fe, 0x003d48], + ), + F::from_limbs( + [0xefe96b3eb765c50b865660e5468565, 0xdc08604089a07e4077bf84d06c3ecf, 0x007390], + ), + F::from_limbs( + [0xcdba97c146f639f479a99e1ab97a9c, 0xcb4ac95cf3a7b4f9604884d16bc683, 0x00005c], + ), + F::from_limbs( + [0xdefcb7f945a2551e66a066094d7636, 0x02f3870607e14fa3bbdd211d8337d4, 0x004421], + ), + F::from_limbs( + [0xdea74b06b8b9a9e1995f98f6b289cb, 0xa45fa2977566e3961c2ae88454cd7e, 0x002fcc], + ), + F::from_limbs( + [0x5822b64e0b9b26373a682660761944, 0xa7eef5328e8818fe26781cf3ff9137, 0x001c36], + ), + F::from_limbs( + [0x65814cb1f2c0d8c8c597d89f89e6bd, 0xff64346aeec01a3bb18fecadd8741c, 0x0057b6], + ), + F::from_limbs( + [0xfb335a0dcf92b2fc5c7a8d9430e9cb, 0xa76183551e88d8097dcb514c5654dd, 0x005f25], + ), + F::from_limbs( + [0xc270a8f22ec94c03a385716bcf1636, 0xfff1a6485ebf5b305a3cb85581b075, 0x0014c7], + ), + F::from_limbs( + [0x31363172d494c26fb839a9faf8188e, 0x2c9f639a3a5ab566a93088cd7eb1c4, 0x006c1a], + ), + F::from_limbs( + [0x8c6dd18d29c73c9047c6550507e773, 0x7ab3c60342ed7dd32ed780d459538f, 0x0007d3], + ), + F::from_limbs( + [0xaa1c87567b5903e83915b2035faea7, 0x57b15ac7081ca9b60f8f2c9fb54863, 0x0048b0], + ), + F::from_limbs( + [0x13877ba98302fb17c6ea4cfca0515a, 0x4fa1ced6752b8983c878dd0222bcf0, 0x002b3d], + ), + F::from_limbs( + [0xafbb716bbc387cca1310530cc044fa, 0x5601643b2882d8a0074dfb20e2d164, 0x00211f], + ), + F::from_limbs( + [0x0de8919442238235ecefabf33fbb07, 0x5151c56254c55a99d0ba0e80f533ef, 0x0052ce], + ), + F::from_limbs( + [0x10e1a8f2f64bf41a2ef73c66cbb7c6, 0x8f02f37c8d2455ee9f580df9527030, 0x00173a], + ), + F::from_limbs( + [0xacc25a0d08100ae5d108c29934483b, 0x18503620f023dd4b38affba8859523, 0x005cb3], + ), + F::from_limbs( + [0xa6122f655c997c2d3f94e98ca49bbb, 0xde0653949e912e81c1c7698c577526, 0x00143d], + ), + F::from_limbs( + [0x1791d39aa1c282d2c06b15735b6446, 0xc94cd608deb704b81640a01580902d, 0x005faf], + ), + F::from_limbs( + [0x1124d405bf7aabdf8d55151ef4f9ec, 0xc3c3bed53d882ad9387c916f12854a, 0x002055], + ), + F::from_limbs( + [0xac7f2efa3ee1532072aae9e10b0615, 0xe38f6ac83fc008609f8b7832c58009, 0x005397], + ), + F::from_limbs( + [0x2c74299a10e7c95e09090a764f6390, 0xbfebc2782a92610f3e639653fe3c1c, 0x006efc], + ), + F::from_limbs( + [0x912fd965ed7435a1f6f6f489b09c71, 0xe767672552b5d22a99a4734dd9c937, 0x0004f0], + ), + F::from_limbs( + [0x886bbc04a47c4088112f52fe2c4432, 0x3dfdc5b94c147f938adf9e252d8003, 0x006eef], + ), + F::from_limbs( + [0x353846fb59dfbe77eed0ac01d3bbcf, 0x695563e43133b3a64d286b7caa8550, 0x0004fe], + ), + F::from_limbs( + [0xbd0f5c286ae03a2c5fd0ee29a61068, 0x4b0ce3eea8ca794fdc040507aba85a, 0x003012], + ), + F::from_limbs( + [0x0094a6d7937bc4d3a02f10d659ef99, 0x5c4645aed47db9e9fc04049a2c5cf9, 0x0043db], + ), + F::from_limbs( + [0x36b7edd690eb355bbdd1528660c72d, 0x4bd9de921697a1e738e2f329ab8e0b, 0x001152], + ), + F::from_limbs( + [0x86ec15296d70c9a4422eac799f38d4, 0x5b794b0b66b091529f2516782c7748, 0x00629b], + ), + F::from_limbs( + [0xd72ad65f46d726783ee4e9030b121d, 0x4f5a2a19f612bc5b54bb9d04899f77, 0x0032ec], + ), + F::from_limbs( + [0xe6792ca0b784d887c11b15fcf4ede4, 0x57f8ff83873576de834c6c9d4e65db, 0x004101], + ), + F::from_limbs( + [0xc38dc29ee64919bd5b0d2da1fdb04f, 0xadda3175e8ed6509386b35e64b9e42, 0x005508], + ), + F::from_limbs( + [0xfa1640611812e542a4f2d15e024fb2, 0xf978f827945ace309f9cd3bb8c6710, 0x001ee4], + ), + F::from_limbs( + [0x8e7c5ddb1443d706f0db8c7121f9f3, 0x81191b6befa46edbc381958375eb7d, 0x001666], + ), + F::from_limbs( + [0x2f27a524ea1827f90f24728ede060e, 0x263a0e318da3c45e1486741e6219d6, 0x005d87], + ), + F::from_limbs( + [0x362129fcf80f3a0c35fe1ecc54fea6, 0x7330eb7307e28a976c40c41df52101, 0x00446d], + ), + F::from_limbs( + [0x8782d903064cc4f3ca01e033ab015b, 0x34223e2a7565a8a26bc74583e2e452, 0x002f80], + ), + F::from_limbs( + [0x896469b6669563c15ccddff613e6c3, 0x5ad7346c2a74d501f59804e685491d, 0x0045ad], + ), + F::from_limbs( + [0x343f994997c69b3ea3321f09ec193e, 0x4c7bf53152d35e37e27004bb52bc36, 0x002e40], + ), + F::from_limbs( + [0x71eca35d5272bc11b2b030ee121117, 0xac36dbd7d8ed6f40d43527acf89d16, 0x004c3a], + ), + F::from_limbs( + [0x4bb75fa2abe942ee4d4fce11edeeea, 0xfb1c4dc5a45ac3f903d2e1f4df683d, 0x0027b2], + ), + F::from_limbs( + [0x02b20f5415c8edfd3888c1a912f735, 0x7dd6b49f8d01590557dbc7ff3a72c5, 0x007263], + ), + F::from_limbs( + [0xbaf1f3abe8931102c7773d56ed08cc, 0x297c74fdf046da34802c41a29d928e, 0x00018a], + ), + F::from_limbs( + [0x07af22564f84f8f83aecc92580b8aa, 0x5a42aef9c0269ffb74496a8aa8d45f, 0x004f6e], + ), + F::from_limbs( + [0xb5f4e0a9aed70607c51335da7f4757, 0x4d107aa3bd21933e63be9f172f30f4, 0x00247f], + ), + F::from_limbs( + [0x9c70269bbd114690350f4e3f8df6a5, 0x89e17d7aec42fb14952aba78db9462, 0x0017ca], + ), + F::from_limbs( + [0x2133dc64414ab86fcaf0b0c072095c, 0x1d71ac229105382542dd4f28fc70f1, 0x005c23], + ), + F::from_limbs( + [0x5984f698b67a4f84e0147535fc4cc7, 0x9fb480cf1962424ccc9781abb5d4bd, 0x005cc5], + ), + F::from_limbs( + [0x641f0c6747e1af7b1feb89ca03b33a, 0x079ea8ce63e5f0ed0b7087f6223096, 0x001728], + ), + F::from_limbs( + [0xcc3eb7bca53cba14e4436934073cf8, 0xa29cc0a9b176bab082cf14139ca439, 0x000be1], + ), + F::from_limbs( + [0xf1654b43591f44eb1bbc95cbf8c309, 0x04b668f3cbd178895538f58e3b6119, 0x00680c], + ), + F::from_limbs( + [0x577ec3fec64b94ffa0768034358069, 0x2f0427377bf2559ffc5a62719e22db, 0x001c74], + ), + F::from_limbs( + [0x66253f0138106a005f897ecbca7f98, 0x784f02660155dd99dbada73039e278, 0x005779], + ), + F::from_limbs( + [0x336422fb2484bea951fae8db934564, 0x8cfc63f4ce5809a7f4331ef665f6ff, 0x002060], + ), + F::from_limbs( + [0x8a3fe004d9d74056ae0516246cba9d, 0x1a56c5a8aef02991e3d4eaab720e54, 0x00538d], + ), + F::from_limbs( + [0x2fee58775d07250cdf6a3a35ecf57f, 0x5f739bcb6b817b150a3d799a20a549, 0x001e1e], + ), + F::from_limbs( + [0x8db5aa88a154d9f32095c4ca130a82, 0x47df8dd211c6b824cdca9007b7600a, 0x0055cf], + ), + F::from_limbs( + [0xacd165ded9ee4bee85bd9f44eadafc, 0x8c66cae96230cc8ca46d95273f8560, 0x0043aa], + ), + F::from_limbs( + [0x10d29d21246db3117a425fbb152505, 0x1aec5eb41b1766ad339a747a987ff3, 0x003043], + ), + F::from_limbs( + [0xa62701b792b4b927428087510b4690, 0x4dfbddaa0f7018a5f6c9d6ee753c3a, 0x000c3e], + ), + F::from_limbs( + [0x177d01486ba745d8bd7f77aef4b971, 0x59574bf36dd81a93e13e32b362c919, 0x0067af], + ), + F::from_limbs( + [0x2bb8a6efad1e27f723ac02bc953aad, 0x19512cc16fca078fe779deb9655e56, 0x0027db], + ), + F::from_limbs( + [0x91eb5c10513dd708dc53fc436ac554, 0x8e01fcdc0d7e2ba9f08e2ae872a6fd, 0x004c12], + ), + F::from_limbs( + [0x4b2cfa769fd7090da3400381fcc74e, 0x37ba404a0d987ba20ac46f869f0e03, 0x002a5f], + ), + F::from_limbs( + [0x727708895e84f5f25cbffb7e0338b3, 0x6f98e9536fafb797cd439a1b38f750, 0x00498e], + ), + F::from_limbs( + [0x4c63965a705ecf9e985c7e18ed3d94, 0x676f45ec4c4be580c83d05f64c7819, 0x00641b], + ), + F::from_limbs( + [0x71406ca58dfd2f6167a380e712c26d, 0x3fe3e3b130fc4db90fcb03ab8b8d3a, 0x000fd2], + ), + F::from_limbs( + [0x40a5a6bee95b75b0a24612e823d13d, 0xb243df1e9853a678f914d4d20ec0cd, 0x004d3d], + ), + F::from_limbs( + [0x7cfe5c411500894f5db9ec17dc2ec4, 0xf50f4a7ee4f48cc0def334cfc94486, 0x0026af], + ), + F::from_limbs( + [0xe486ab9c1d181d325a4c24c7ca7cc7, 0x380a113e0de0bb589129ecd866e89a, 0x0004e7], + ), + F::from_limbs( + [0xd91d5763e143e1cda5b3da3835833a, 0x6f49185f6f6777e146de1cc9711cb8, 0x006f06], + ), + F::from_limbs( + [0xdad8d7196fb3f65c1941863d1168cd, 0x90308f169ce69e837a858ba1f4dbec, 0x0014da], + ), + F::from_limbs( + [0xe2cb2be68ea808a3e6be78c2ee9734, 0x17229a86e06194b65d827dffe32966, 0x005f13], + ), + F::from_limbs( + [0x74bd923dc36a592cc0d7becb4f8876, 0x61262f282dcae92f7171df3b47edda, 0x005b1b], + ), + F::from_limbs( + [0x48e670c23af1a5d33f284034b0778b, 0x462cfa754f7d4a0a66962a66901779, 0x0018d2], + ), + F::from_limbs( + [0x6d7db0e788ca47358d0356fe5c9dd1, 0x3bf5a632c343afe3c67ccb9bc555d5, 0x004101], + ), + F::from_limbs( + [0x502652187591b7ca72fca801a36230, 0x6b5d836aba048356118b3e0612af7e, 0x0032ec], + ), + F::from_limbs( + [0x8478c058ba081aa9a5318b553b5055, 0x204b4d180e5fafaf710124fe64cc2f, 0x00303b], + ), + F::from_limbs( + [0x392b42a74453e4565ace73aac4afac, 0x8707dc856ee8838a6706e4a3733924, 0x0043b2], + ), + F::from_limbs( + [0xdedeaa3d44c908d6481057712b62db, 0xae5fdb8f2f3d6ddcbaedc9453e96d0, 0x001bb7], + ), + F::from_limbs( + [0xdec558c2b992f629b7efa78ed49d26, 0xf8f34e0e4e0ac55d1d1a405c996e82, 0x005835], + ), + F::from_limbs( + [0xc6be59ee6c4978fab7b69fb529b7e3, 0x6c09a50cc22023fa498ade54827584, 0x006aeb], + ), + F::from_limbs( + [0xf6e5a9119212860548495f4ad6481e, 0x3b498490bb280f3f8e7d2b4d558fce, 0x000902], + ), + F::from_limbs( + [0x8f864a71161064a192553890378d77, 0x17ee086c6e073fd463744dfe796c4c, 0x004698], + ), + F::from_limbs( + [0x2e1db88ee84b9a5e6daac66fc8728a, 0x8f6521310f40f3657493bba35e9907, 0x002d55], + ), + F::from_limbs( + [0x9a9969bef61c7030607eed4e106241, 0xd1f0e3ff52986368034091730c6b9d, 0x000b2c], + ), + F::from_limbs( + [0x230a9941083f8ecf9f8111b1ef9dc0, 0xd562459e2aafcfd1d4c7782ecb99b6, 0x0068c0], + ), + F::from_limbs( + [0x507e6d99ae9fb5cf3f5b54b4aec959, 0x04f0408c123beba4f8ff3b7a8c1be7, 0x00027f], + ), + F::from_limbs( + [0x6d2595664fbc4930c0a4aa4b5136a8, 0xa262e9116b0c4794df08ce274be96c, 0x00716e], + ), + F::from_limbs( + [0xd9ded9e5b846364876072015b5eb65, 0xf33c820d1972523c36cb307c474c66, 0x002c3d], + ), + F::from_limbs( + [0xe3c5291a4615c8b789f8deea4a149c, 0xb416a79063d5e0fda13cd92590b8ec, 0x0047af], + ), + F::from_limbs( + [0xeb1be306684058ab89474dafefa2eb, 0xad8e0aff72fddd5f394035f10efc55, 0x004171], + ), + F::from_limbs( + [0xd2881ff9961ba65476b8b150105d16, 0xf9c51e9e0a4a55da9ec7d3b0c908fd, 0x00327b], + ), + F::from_limbs( + [0x254f5541ef7930a331a41b73f7abaa, 0xc571ec70792379996efebe4f0acfa9, 0x002115], + ), + F::from_limbs( + [0x9854adbe0ee2ce5cce5be38c085457, 0xe1e13d2d0424b9a069094b52cd35aa, 0x0052d7], + ), + F::from_limbs( + [0xb41f6fa66c6185499dc9307637db4e, 0x33aa2adfa3d536b7641585985e553c, 0x000617], + ), + F::from_limbs( + [0x0984935991fa79b66236ce89c824b3, 0x73a8febdd972fc8273f2840979b017, 0x006dd6], + ), + F::from_limbs( + [0xf9ceeec6dcc80182ea775599840a35, 0xfeed9f0db0a00b8ee40fc17a7860b4, 0x00597c], + ), + F::from_limbs( + [0xc3d514392193fd7d1588a9667bf5cc, 0xa8658a8fcca827aaf3f848275fa49e, 0x001a70], + ), + F::from_limbs( + [0x7c3afc63865e0d5abea05493f97fa6, 0x8700c692c174b22a86412d8ed07cee, 0x0040a9], + ), + F::from_limbs( + [0x4169069c77fdf1a5415faa6c06805b, 0x2052630abbd3810f51c6dc13078865, 0x003344], + ), + F::from_limbs( + [0x6fce9cfc06ce536b61e1f83655b4f5, 0xd69266a9fcde925a42a6d3f34fed4c, 0x0040d7], + ), + F::from_limbs( + [0x4dd56603f78dab949e1e06c9aa4b0c, 0xd0c0c2f38069a0df956135ae881807, 0x003315], + ), + F::from_limbs( + [0x6da96883a873462ccc2c2cf47c63df, 0x9ad5a4f61993a52471a84bb496a6c3, 0x0007f6], + ), + F::from_limbs( + [0x4ffa9a7c55e8b8d333d3d20b839c22, 0x0c7d84a763b48e15665fbded415e90, 0x006bf7], + ), + F::from_limbs( + [0xcdadabd0b38af56c035d9eab203dbe, 0x7ca455960f91959b712aca7c881bfe, 0x0021b1], + ), + F::from_limbs( + [0xeff6572f4ad10993fca26054dfc243, 0x2aaed4076db69d9e66dd3f254fe954, 0x00523c], + ), + F::from_limbs( + [0xe00594924fb402d6cd14fd27e25700, 0x44261676fcc9f3bc3df6273fd94bd1, 0x003186], + ), + F::from_limbs( + [0xdd9e6e6daea7fc2932eb01d81da901, 0x632d1326807e3f7d9a11e261feb981, 0x004267], + ), + F::from_limbs( + [0x0ee7d30e12b23d1ab447818017f222, 0xc6b854445b5ea6798aa04ee79bdb41, 0x0068aa], + ), + F::from_limbs( + [0xaebc2ff1eba9c1e54bb87d7fe80ddf, 0xe09ad55921e98cc04d67baba3c2a12, 0x000b42], + ), + F::from_limbs( + [0xfea3e5c0c9365a897755321979df0f, 0x1526811d79ccb36c6e20369d140fc1, 0x00306c], + ), + F::from_limbs( + [0xbf001d3f3525a47688aacce68620f2, 0x922ca880037b7fcd69e7d304c3f591, 0x004381], + ), + F::from_limbs( + [0x749a7cd475fcba89e3a03ed602252d, 0x3d4724f28a112be91e58eee71d4355, 0x006a7a], + ), + F::from_limbs( + [0x4909862b885f44761c5fc029fddad4, 0x6a0c04aaf3370750b9af1ababac1fe, 0x000973], + ), + F::from_limbs( + [0x0f1173523113cd28d02344081ebd9c, 0x6aa34cdcd1600752f686c03aab1979, 0x0072a9], + ), + F::from_limbs( + [0xae928fadcd4831d72fdcbaf7e14265, 0x3cafdcc0abe82be6e18149672cebda, 0x000144], + ), + F::from_limbs( + [0x19809deb59fb23d7cd720d549ab2eb, 0x7b346cc7e5c436afd1adf36438b891, 0x001f2d], + ), + F::from_limbs( + [0xa4236514a460db28328df1ab654d16, 0x2c1ebcd59783fc8a065a163d9f4cc2, 0x0054c0], + ), + F::from_limbs( + [0x61c74f88aecaa3f8518c32a0f5203d, 0x2e03ec6552ab659ae7550d5fbfbdcb, 0x001264], + ), + F::from_limbs( + [0x5bdcb3774f915b07ae73cc5f0adfc4, 0x794f3d382a9ccd9ef0b2fc42184788, 0x006189], + ), + F::from_limbs( + [0x0f7509eb12bf7a12d6b6c03800e954, 0xd14a7eea8bf2615934146cd481131e, 0x006ced], + ), + F::from_limbs( + [0xae2ef914eb9c84ed29493ec7ff16ad, 0xd608aab2f155d1e0a3f39ccd56f235, 0x0006ff], + ), + F::from_limbs( + [0x5972f0c64c836900ff94c5632452fe, 0xb39695b0958edb6e036992fd59a041, 0x000050], + ), + F::from_limbs( + [0x64311239b1d895ff006b399cdbad03, 0xf3bc93ece7b957cbd49e76a47e6512, 0x00739c], + ), + F::from_limbs( + [0x82918a1275e4859be951ce740d7fdb, 0xba9bb0ed7d9163545d0bf99fcaa395, 0x0056d7], + ), + F::from_limbs( + [0x3b1278ed8877796416ae308bf28026, 0xecb778afffb6cfe57afc10020d61be, 0x001d15], + ), + F::from_limbs( + [0x1601a76229c1adfbecb0a04cff1fd5, 0x7a5cdde8aca2e66faae39b39c088f7, 0x00292f], + ), + F::from_limbs( + [0xa7a25b9dd49a5104134f5eb300e02c, 0x2cf64bb4d0a54cca2d246e68177c5c, 0x004abe], + ), + F::from_limbs( + [0xb612d30c081aabf34e05525f877021, 0x4bfe667932157f92916e86d96b6930, 0x004bf2], + ), + F::from_limbs( + [0x07912ff3f641530cb1faaca0788fe0, 0x5b54c3244b32b3a7469982c86c9c23, 0x0027fb], + ), + F::from_limbs( + [0xd5ea380ce32e6b2dd42bd931d880fa, 0xe427c36951f6d473cff7407c6dcfb4, 0x006e88], + ), + F::from_limbs( + [0xe7b9caf31b2d93d22bd425ce277f07, 0xc32b66342b515ec60810c9256a359e, 0x000564], + ), + F::from_limbs( + [0x0f84475022fe939470465bee013097, 0x58bad03c9dbd58155a83a8ea6c3390, 0x002cda], + ), + F::from_limbs( + [0xae1fbbafdb5d6b6b8fb9a311fecf6a, 0x4e985960df8adb247d8460b76bd1c3, 0x004713], + ), + F::from_limbs( + [0xa16ef813f31e5f83b68b581d21fd33, 0xd5284c1600d347aae07d7872a6391a, 0x005202], + ), + F::from_limbs( + [0x1c350aec0b3d9f7c4974a6e2de02ce, 0xd22add877c74eb8ef78a912f31cc39, 0x0021ea], + ), + F::from_limbs( + [0x48051e0746d4d27634d53c101b484f, 0x274c05b653d0979001b1a9c1802b67, 0x00425b], + ), + F::from_limbs( + [0x759ee4f8b7872c89cb2ac2efe4b7b2, 0x800723e729779ba9d6565fe057d9ec, 0x003192], + ), + F::from_limbs( + [0x8503100bf4f456b35f7bf5575c7b23, 0x45cdf7a9ba4cf1bf9c0b78cfea72b9, 0x006f01], + ), + F::from_limbs( + [0x38a0f2f40967a84ca08409a8a384de, 0x618531f3c2fb417a3bfc90d1ed929a, 0x0004ec], + ), + F::from_limbs( + [0xf49d1fef18fe446a96b2f8aba94ca5, 0x0381d5637adbe052493f508ebbd64e, 0x005062], + ), + F::from_limbs( + [0xc906e310e55dba95694d065456b35c, 0xa3d1543a026c52e78ec8b9131c2f04, 0x00238b], + ), + F::from_limbs( + [0xe70398715625d1fe45dab729efaea5, 0x48d147f9e07b866b74814bbc6fc20e, 0x00284b], + ), + F::from_limbs( + [0xd6a06a8ea8362d01ba2547d610515c, 0x5e81e1a39cccacce6386bde5684344, 0x004ba2], + ), + F::from_limbs( + [0x43e19212b8aa4df3a5ad5791a994d8, 0x540c98122505b6ecd0eb892cffb184, 0x000dd3], + ), + F::from_limbs( + [0x79c270ed45b1b10c5a52a76e566b29, 0x5346918b58427c4d071c8074d853cf, 0x00661a], + ), + F::from_limbs( + [0x6bc6576070693cb7d4f57ca8e234d2, 0x78031812872bf13558bc3f0560e2d7, 0x00695a], + ), + F::from_limbs( + [0x51ddab9f8df2c2482b0a82571dcb2f, 0x2f50118af61c42047f4bca9c77227c, 0x000a93], + ), + F::from_limbs( + [0xfe1703fe711c29b80e538fb0db8eac, 0xdb43a94f5b7bb38f39714deeb1ae8a, 0x0014bd], + ), + F::from_limbs( + [0xbf8cff018d3fd547f1ac6f4f247155, 0xcc0f804e21cc7faa9e96bbb32656c8, 0x005f2f], + ), + F::from_limbs( + [0x24660d2d313d631f591af96e8a7fee, 0xc197a37224f76ca24d962e9700475f, 0x00347c], + ), + F::from_limbs( + [0x993df5d2cd1e9be0a6e50591758013, 0xe5bb862b5850c6978a71db0ad7bdf4, 0x003f70], + ), + F::from_limbs( + [0x88d41415a9d2b7905e2d22cc47814f, 0x81307e7897487efc9679d3ae6717af, 0x0029a4], + ), + F::from_limbs( + [0x34cfeeea5489476fa1d2dc33b87eb2, 0x2622ab24e5ffb43d418e35f370eda4, 0x004a49], + ), + F::from_limbs( + [0xf108e4ee1b6fb6162787b451688c10, 0x962e55e3bd5fbe8f28ffbc2667540c, 0x000c3d], + ), + F::from_limbs( + [0xcc9b1e11e2ec48e9d8784aae9773f1, 0x1124d3b9bfe874aaaf084d7b70b146, 0x0067b0], + ), + F::from_limbs( + [0x206cf9748b83dd96d828215664721a, 0xe83969d643cbcec6ec3b08bdf75cb5, 0x006a6b], + ), + F::from_limbs( + [0x9d37098b72d8216927d7dda99b8de7, 0xbf19bfc7397c6472ebcd00e3e0a89e, 0x000981], + ), + F::from_limbs( + [0x44895d478fa9ddd1291c9619ff853a, 0x8c88d24405c2e8c071ee884d75d3a4, 0x004ef4], + ), + F::from_limbs( + [0x791aa5b86eb2212ed6e368e6007ac7, 0x1aca575977854a79661981546231af, 0x0024f9], + ), + F::from_limbs( + [0x5a424237cbda19892e38be9f062611, 0x11bc8052d3e3f0c732b4b9a2d2ebd0, 0x000a94], + ), + F::from_limbs( + [0x6361c0c83281e576d1c74060f9d9f0, 0x9596a94aa9644272a5534fff051983, 0x006959], + ), + F::from_limbs( + [0x7d89921705901e5de06a0b012d0243, 0x594fdeb2e307f3e1fb2deb76f3bb71, 0x006c45], + ), + F::from_limbs( + [0x401a70e8f8cbe0a21f95f3fed2fdbe, 0x4e034aea9a403f57dcda1e2ae449e2, 0x0007a8], + ), + F::from_limbs( + [0xa788bc6d17181423c79bd954755494, 0x0481d07a7e9f35032fbef532789ce5, 0x00611b], + ), + F::from_limbs( + [0x161b4692e743eadc386425ab8aab6d, 0xa2d15922fea8fe36a849146f5f686e, 0x0012d2], + ), + F::from_limbs( + [0x1653d1c1bc6e308ea22d6694856daa, 0xb4cc459331ab514ca0d0085bb39e9d, 0x005068], + ), + F::from_limbs( + [0xa750313e41edce715dd2986b7a9257, 0xf286e40a4b9ce1ed373801462466b6, 0x002384], + ), + F::from_limbs( + [0x054f3e075b729d81098d794dea5701, 0x6abf41700b9842a65fa559497c8810, 0x004f9d], + ), + F::from_limbs( + [0xb854c4f8a2e9617ef67285b215a900, 0x3c93e82d71aff0937862b0585b7d43, 0x002450], + ), + F::from_limbs( + [0x5057d57703f9a87e126235ecd43026, 0x74affe564b7a8b3844deac9ea56431, 0x001736], + ), + F::from_limbs( + [0x6d4c2d88fa625681ed9dc9132bcfdb, 0x32a32b4731cda80193295d0332a122, 0x005cb7], + ), + F::from_limbs( + [0xb47dbca9cae90afbe221bbe8b0070f, 0x1707ef01055ae713812af75c3ce340, 0x006e6d], + ), + F::from_limbs( + [0x092646563372f4041dde43174ff8f2, 0x904b3a9c77ed4c2656dd12459b2213, 0x000580], + ), + F::from_limbs( + [0x6f364ee6ca599e2a57e7c2e3829f5d, 0xbff09ddfad632d741d8ddfa5d583ef, 0x0061f4], + ), + F::from_limbs( + [0x4e6db419340260d5a8183c1c7d60a4, 0xe7628bbdcfe505c5ba7a29fc028164, 0x0011f8], + ), + F::from_limbs( + [0x0b303e3b187bfe2d29236b4aba2c30, 0x7d686e321ed7e2bf66e7d85fbbf104, 0x004f5a], + ), + F::from_limbs( + [0xb273c4c4e5e000d2d6dc93b545d3d1, 0x29eabb6b5e70507a712031421c144f, 0x002493], + ), + F::from_limbs( + [0x8af5568bee084eafc9284dc5c825b3, 0x1e8cce6557ae443ba5d28686f073a4, 0x001c5b], + ), + F::from_limbs( + [0x32aeac741053b05036d7b13a37da4e, 0x88c65b382599eefe3235831ae791af, 0x005792], + ), + F::from_limbs( + [0x7e09e82f1c3e9d4efb199435cf1951, 0x5d7839b1fcfcf9503d8f57a4d6614e, 0x003b14], + ), + F::from_limbs( + [0x3f9a1ad0e21d61b104e66aca30e6b0, 0x49daefeb804b39e99a78b1fd01a405, 0x0038d9], + ), + F::from_limbs( + [0x55d107b1c203eab17bd0bb5bad1182, 0x9c8b5342ec1d44944d3f7324eb7480, 0x001cb9], + ), + F::from_limbs( + [0x67d2fb4e3c58144e842f43a452ee7f, 0x0ac7d65a912aeea58ac8967cec90d3, 0x005734], + ), + F::from_limbs( + [0xcc98e5c7db5187d8c1d40bb10adc59, 0xc0675265fa2dfc519755c087a32876, 0x003c33], + ), + F::from_limbs( + [0xf10b1d38230a77273e2bf34ef523a8, 0xe6ebd737831a36e840b2491a34dcdc, 0x0037b9], + ), + F::from_limbs( + [0xc2ff3e383faedce4a93fcddb1211f4, 0x208ddf82338cb12eca28a2ee1691e3, 0x0035c4], + ), + F::from_limbs( + [0xfaa4c4c7bead221b56c03124edee0d, 0x86c54a1b49bb820b0ddf66b3c1736f, 0x003e29], + ), + F::from_limbs( + [0x770750a3295ce013845fe3e81af4a9, 0x5e069cf1ffd4b20beea0d3d2717cab, 0x0040d6], + ), + F::from_limbs( + [0x469cb25cd4ff1eec7ba01b17e50b58, 0x494c8cab7d73812de96735cf6688a8, 0x003317], + ), + F::from_limbs( + [0x4b6d768688f6163f7aef5a8d5a484b, 0xc4e0a34ac8817ca0911d55cb959127, 0x003367], + ), + F::from_limbs( + [0x72368c797565e8c08510a472a5b7b6, 0xe2728652b4c6b69946eab3d642742c, 0x004085], + ), + F::from_limbs( + [0x0454e65c549e730c28faecaf1e8d22, 0x56b81cdb2573eb5e4c7cc761dd4520, 0x005d92], + ), + F::from_limbs( + [0xb94f1ca3a9bd8bf3d7051250e172df, 0x509b0cc257d447db8b8b423ffac033, 0x00165b], + ), + F::from_limbs( + [0x51ee0472a016488c27b766a60882f9, 0x11507fe896a5498eb71d7559be4c99, 0x0052c2], + ), + F::from_limbs( + [0x6bb5fe8d5e45b673d8489859f77d08, 0x9602a9b4e6a2e9ab20ea944819b8ba, 0x00212b], + ), + F::from_limbs( + [0xc5bca14681745c76d754972b0417a7, 0x2f86c9d8d39011f0f8130ff3be0f88, 0x0018f0], + ), + F::from_limbs( + [0xf7e761b97ce7a28928ab67d4fbe85a, 0x77cc5fc4a9b82148dff4f9ae19f5ca, 0x005afd], + ), + F::from_limbs( + [0x638559361842718ac62a5b6e5ad517, 0x6fb41d42210a721065e2d58541d8ed, 0x004100], + ), + F::from_limbs( + [0x5a1ea9c9e6198d7539d5a391a52aea, 0x379f0c5b5c3dc1297225341c962c66, 0x0032ed], + ), + F::from_limbs( + [0x1950751921323a56171b04b937cdaf, 0x937ddeaca07bc012d70246b27dc065, 0x0024ee], + ), + F::from_limbs( + [0xa4538de6dd29c4a9e8e4fa46c83252, 0x13d54af0dccc73270105c2ef5a44ee, 0x004eff], + ), + F::from_limbs( + [0x2a319f1febe961d72e9ae3be101d4a, 0x9c3f07698480401ec4aa8199861df1, 0x004b05], + ), + F::from_limbs( + [0x937263e012729d28d1651b41efe2b7, 0x0b142233f8c7f31b135d880851e762, 0x0028e8], + ), + F::from_limbs( + [0x6741faefb9fa2d5aa8609bb6978a8a, 0x21978e244f9d146d95e0e0022b3e03, 0x001a07], + ), + F::from_limbs( + [0x566208104461d1a5579f6349687577, 0x85bb9b792dab1ecc4227299facc750, 0x0059e6], + ), + F::from_limbs( + [0x45ddc7c4867210129ed5dca288fdad, 0xda03c2eccc63b00e689f35ee7c4f17, 0x000145], + ), + F::from_limbs( + [0x77c63b3b77e9eeed612a225d770254, 0xcd4f66b0b0e4832b6f68d3b35bb63c, 0x0072a7], + ), + F::from_limbs( + [0xb74b780ee14bd5ffd348ed4368ea6b, 0xe856ea5ac03fc0e50bf8399e8a372b, 0x0030c0], + ), + F::from_limbs( + [0x06588af11d1029002cb711bc971596, 0xbefc3f42bd087254cc0fd0034dce28, 0x00432c], + ), + F::from_limbs( + [0xb180cc06183fdc238b0dcafb1476da, 0x9abcdc6fffbff88b8ccd41b6fe9072, 0x006dae], + ), + F::from_limbs( + [0x0c2336f9e61c22dc74f23404eb8927, 0x0c964d2d7d883aae4b3ac7ead974e1, 0x00063f], + ), + F::from_limbs( + [0xa0aa4b47b65a9aa9b9e943288d1377, 0x1a344d6f5983ebaddafe1ce61a3e55, 0x002139], + ), + F::from_limbs( + [0x1cf9b7b8480164564616bbd772ec8a, 0x8d1edc2e23c4478bfd09ecbbbdc6fe, 0x0052b4], + ), + F::from_limbs( + [0xda2c1965bb0e4df3f081d760a857c1, 0x717dde8a10fab09cc8a6d690d6d975, 0x002b2c], + ), + F::from_limbs( + [0xe377e99a434db10c0f7e279f57a840, 0x35d54b136c4d829d0f613311012bdd, 0x0048c1], + ), + F::from_limbs( + [0x4b18da6a0cb40d9f323ea3d74cb3ed, 0xd903bc2a828e0a910beaf7801c3c4a, 0x0068a3], + ), + F::from_limbs( + [0x728b2895f1a7f160cdc15b28b34c14, 0xce4f6d72faba28a8cc1d1221bbc909, 0x000b49], + ), + F::from_limbs( + [0xdbfda03b545ae6d8953347b71b2763, 0x4045701c2afdeb6b10d0ae8fdb6702, 0x004e58], + ), + F::from_limbs( + [0xe1a662c4aa0118276accb748e4d89e, 0x670db981524a47cec7375b11fc9e50, 0x002595], + ), + F::from_limbs( + [0x29f1a50e3889f85141aa86a2a5ecfe, 0xb7b08d8f15ade18c576cea199d2fa8, 0x000189], + ), + F::from_limbs( + [0x93b25df1c5d206aebe55785d5a1303, 0xefa29c0e679a51ad809b1f883ad5ab, 0x007263], + ), + F::from_limbs( + [0xb6ef0eb662097c3848f25bc12e55e5, 0x0f09621ec698c303dcd2525aa8e1d5, 0x00207c], + ), + F::from_limbs( + [0x06b4f4499c5282c7b70da33ed1aa1c, 0x9849c77eb6af7035fb35b7472f237e, 0x005371], + ), + F::from_limbs( + [0xfee96131f8a2c92461b61f8c172710, 0x3925f9b4c85b4d19a6dc30bd3cf9de, 0x0034d0], + ), + F::from_limbs( + [0xbebaa1ce05b935db9e49df73e8d8f1, 0x6e2d2fe8b4ece620312bd8e49b0b74, 0x003f1d], + ), + F::from_limbs( + [0x141e3d346407c47189304e56429ad5, 0xb91199af6c50c47d1bfcf63d8da28f, 0x0056f5], + ), + F::from_limbs( + [0xa985c5cb9a543a8e76cfb0a9bd652c, 0xee418fee10f76ebcbc0b13644a62c4, 0x001cf7], + ), + F::from_limbs( + [0x8bc773e8f76ec48f6d8cad9a860cd0, 0x8ac912456e1d8865c216fafad6f949, 0x004228], + ), + F::from_limbs( + [0x31dc8f1706ed3a709273516579f331, 0x1c8a17580f2aaad415f10ea7010c0a, 0x0031c5], + ), + F::from_limbs( + [0x0738e3b14d3321adc2f5fb7a0f9779, 0xe3491835bf37c77b9884e9951f09f5, 0x001285], + ), + F::from_limbs( + [0xb66b1f4eb128dd523d0a0385f06888, 0xc40a1167be106bbe3f83200cb8fb5e, 0x006167], + ), + F::from_limbs( + [0xede3c44914fead6b72120c1df2a4b7, 0xe8be4df796d59f6c51b91a1bb80965, 0x0057f2], + ), + F::from_limbs( + [0xcfc03eb6e95d51948dedf2e20d5b4a, 0xbe94dba5e67293cd864eef861ffbed, 0x001bfa], + ), + F::from_limbs( + [0x02db433ead26c61eff4e410f51f541, 0xac8c4cf028e96b55b53b85b3aaaf65, 0x004f11], + ), + F::from_limbs( + [0xbac8bfc1513538e100b1bdf0ae0ac0, 0xfac6dcad545ec7e422cc83ee2d55ee, 0x0024db], + ), + F::from_limbs( + [0xcdd406650e46c8d98b75fb7861f2ca, 0x7cbfb59eea4ac9eaecdc39624a74d6, 0x00337d], + ), + F::from_limbs( + [0xefcffc9af0153626748a03879e0d37, 0x2a9373fe92fd694eeb2bd03f8d907c, 0x004070], + ), + F::from_limbs( + [0xa5bc30f24fec3acc3d6f4f809b0a53, 0x6ed642e8c59a514c846d5f0e44976d, 0x002013], + ), + F::from_limbs( + [0x17e7d20dae6fc433c290af7f64f5ae, 0x387ce6b4b7ade1ed539aaa93936de6, 0x0053da], + ), + F::from_limbs( + [0xdeb7a80902a9c5efdf3ccfe8e53a24, 0x1a50f8bb8a7d92a4ae617d426c9358, 0x0070ba], + ), + F::from_limbs( + [0xdeec5af6fbb2391020c32f171ac5dd, 0x8d0230e1f2caa09529a68c5f6b71fa, 0x000333], + ), + F::from_limbs( + [0x682f007f22bb81fdd7ada825dfd8e9, 0xba432991de5065a9a51a6b3c1aee25, 0x003c87], + ), + F::from_limbs( + [0x55750280dba07d02285256da202718, 0xed10000b9ef7cd9032ed9e65bd172e, 0x003765], + ), + F::from_limbs( + [0xdc15430c03b1e93f800f008fb12ae6, 0xab089b07419bb6f14d619c69d89866, 0x00665b], + ), + F::from_limbs( + [0xe18ebff3faaa15c07ff0fe704ed51b, 0xfc4a8e963bac7c488aa66d37ff6cec, 0x000d91], + ), + F::from_limbs( + [0x9e920fb609ba358d5ceacfe1dffb42, 0x817f573e38be9b763b9e8a078d875c, 0x004094], + ), + F::from_limbs( + [0x1f11f349f4a1c972a3152f1e2004bf, 0x25d3d25f448997c39c697f9a4a7df7, 0x003359], + ), + F::from_limbs( + [0x5f4c56d978347b10decd73542a05fd, 0x12ef8c4b82539a2ef0ffba88222629, 0x005c58], + ), + F::from_limbs( + [0x5e57ac26862783ef21328babd5fa04, 0x94639d51faf4990ae7084f19b5df2a, 0x001795], + ), + F::from_limbs( + [0x1a0584cc517b2805c42dc5891560a9, 0x9d33e7931ce4ecbc30602b356bce70, 0x0016b0], + ), + F::from_limbs( + [0xa39e7e33ace0d6fa3bd23976ea9f58, 0x0a1f420a6063467da7a7de6c6c36e3, 0x005d3d], + ), + F::from_limbs( + [0x628e600a788e04ab750b85650ebd1b, 0x45839982795b2e6635a42125b2c691, 0x004faf], + ), + F::from_limbs( + [0x5b15a2f585cdfa548af4799af142e6, 0x61cf901b03ed04d3a263e87c253ec2, 0x00243e], + ), + F::from_limbs( + [0x5fd0a3184059075334c20cef94dd35, 0x069a3f7275ed6f16b28321f60d75c3, 0x001a8e], + ), + F::from_limbs( + [0x5dd35fe7be02f7accb3df2106b22cc, 0xa0b8ea2b075ac4232584e7abca8f90, 0x00595f], + ), + F::from_limbs( + [0x5321e5ff1832016c9ec31e57800535, 0x6fde6d9f8cf58100484127999969e6, 0x0058d2], + ), + F::from_limbs( + [0x6a821d00e629fd93613ce0a87ffacc, 0x3774bbfdf052b2398fc6e2083e9b6d, 0x001b1b], + ), + F::from_limbs( + [0x24e42aa8d5aec08ce356eec0b581c3, 0x96482f24fb2a6806482acecf123181, 0x004ad6], + ), + F::from_limbs( + [0x98bfd85728ad3e731ca9103f4a7e3e, 0x110afa78821dcb338fdd3ad2c5d3d2, 0x002917], + ), + F::from_limbs( + [0x346f499430ac3e8834e343be816ade, 0x1c7a1e79b28af076c80674fbea502b, 0x003324], + ), + F::from_limbs( + [0x8934b96bcdafc077cb1cbb417e9523, 0x8ad90b23cabd42c3100194a5edb528, 0x0040c9], + ), + F::from_limbs( + [0x57918f034022d6713037f8b64415e9, 0x19fd78f51a8800de167d51cdd33239, 0x0000b2], + ), + F::from_limbs( + [0x661273fcbe39288ecfc80649bbea18, 0x8d55b0a862c0325bc18ab7d404d31a, 0x00733b], + ), + F::from_limbs( + [0xf59be099efbbbf1e9ee7f422718376, 0x28cf3247eb4450669afedabf51d50f, 0x006d6b], + ), + F::from_limbs( + [0xc80822660ea03fe161180add8e7c8b, 0x7e83f7559203e2d33d092ee2863043, 0x000682], + ), + F::from_limbs( + [0x717496b394e228bde1fcdaa1e27c0c, 0xc92134ed8fe810bde4e31b054a62bd, 0x001f39], + ), + F::from_limbs( + [0x4c2f6c4c6979d6421e03245e1d83f5, 0xde31f4afed60227bf324ee9c8da296, 0x0054b3], + ), + F::from_limbs( + [0x7d09d03af59770f1d0fcc7934e784a, 0xe258d964b59394e25115d08b5a107a, 0x005651], + ), + F::from_limbs( + [0x409a32c508c48e0e2f03376cb187b7, 0xc4fa5038c7b49e5786f239167df4d9, 0x001d9b], + ), + F::from_limbs( + [0xaaeb71ec0f716e68b025c69346bf09, 0x88ac099cc542dbc85d2e72f3dee770, 0x0004ca], + ), + F::from_limbs( + [0x12b89113eeea90974fda386cb940f8, 0x1ea72000b80557717ad996adf91de3, 0x006f23], + ), + F::from_limbs( + [0x3f0ed736ba61d95846912ad0cd72e8, 0xa976934ab9259ff3085d4c741c88b3, 0x00184a], + ), + F::from_limbs( + [0x7e952bc943fa25a7b96ed42f328d19, 0xfddc9652c4229346cfaabd2dbb7ca0, 0x005ba2], + ), + F::from_limbs( + [0x62b291c828ec3ebaf26067815711fc, 0xbb8260b46d2c51e40cbf75a7ee58fd, 0x0062e0], + ), + F::from_limbs( + [0x5af17137d56fc0450d9f977ea8ee05, 0xebd0c8e9101be155cb4893f9e9ac56, 0x00110c], + ), + F::from_limbs( + [0xf1944f8062e2362fd7908ad327998c, 0xfae10609ac308c560763e9b339ee02, 0x005d20], + ), + F::from_limbs( + [0xcc0fb37f9b79c8d0286f742cd86675, 0xac722393d117a6e3d0a41fee9e1750, 0x0016cc], + ), + F::from_limbs( + [0x238124a0db2fb18fbde3dcc5b9f194, 0x2223c6d14ff1cf5fcb7416a05e18ff, 0x002605], + ), + F::from_limbs( + [0x9a22de5f232c4d70421c223a460e6d, 0x852f62cc2d5663da0c93f30179ec54, 0x004de8], + ), + F::from_limbs( + [0x2f181b14aed10ff6e67eefaeab0cff, 0xa75b010005d75274ac3b3a23333006, 0x004d09], + ), + F::from_limbs( + [0x8e8be7eb4f8aef0919810f5154f302, 0xfff8289d7770e0c52bcccf7ea4d54d, 0x0026e3], + ), + F::from_limbs( + [0x84f64a6ba25a938975fe3c072f5f5c, 0xbd52dee2d5f7a21bae96e51a32d19d, 0x005087], + ), + F::from_limbs( + [0x38adb8945c016b768a01c2f8d0a0a5, 0xea004abaa750911e29712487a533b6, 0x002365], + ), + F::from_limbs( + [0x2ae0e11e73c3f16ca52fc81438540d, 0x08c778383129c0429531c4dd5df66d, 0x001ebd], + ), + F::from_limbs( + [0x92c321e18a980d935ad036ebc7abf4, 0x9e8bb1654c1e72f742d644c47a0ee6, 0x005530], + ), + F::from_limbs( + [0xe7fa646df251b192383683e59ecc6a, 0xc7fe5a5827024c14c0e444da9cff88, 0x000ef4], + ), + F::from_limbs( + [0xd5a99e920c0a4d6dc7c97b1a613397, 0xdf54cf455645e7251723c4c73b05ca, 0x0064f8], + ), + F::from_limbs( + [0xeef0bcd91847d841253cc2a928d6be, 0x37718307eb1a9579e0bf9778e20bdc, 0x005a0c], + ), + F::from_limbs( + [0xceb34626e61426bedac33c56d72943, 0x6fe1a695922d9dbff7487228f5f976, 0x0019e1], + ), + F::from_limbs( + [0xa701b8e3a721e0fefce536fb906424, 0x78afcd6fbd8fcad332db11efc5f13f, 0x00420e], + ), + F::from_limbs( + [0x16a24a1c573a1e01031ac8046f9bdd, 0x2ea35c2dbfb86866a52cf7b2121414, 0x0031df], + ), + F::from_limbs( + [0x2703973a98577b707f616b8ee5bc69, 0x35a38c635602c55fbb5a72a5dee0a8, 0x002220], + ), + F::from_limbs( + [0x96a06bc56604838f809e93711a4398, 0x71af9d3a27456dda1cad96fbf924ab, 0x0051cd], + ), + F::from_limbs( + [0xd426ce3bc379cebaa02908f78226c1, 0x3b64fc8a8d3697b57a95d72f49a7ec, 0x006531], + ), + F::from_limbs( + [0xe97d34c43ae230455fd6f6087dd940, 0x6bee2d12f0119b845d7232728e5d66, 0x000ebc], + ), + F::from_limbs( + [0x1aee8a70a157bc3db5dce28b3ecf15, 0xa940ed13adc86207c5cca3e248bbea, 0x0066a7], + ), + F::from_limbs( + [0xa2b5788f5d0442c24a231c74c130ec, 0xfe123c89cf7fd132123b65bf8f4969, 0x000d45], + ), + F::from_limbs( + [0x8d825a7d11480cdc99619927e24871, 0x40afc2350d54fc80dd3fde8f89eaed, 0x0012b8], + ), + F::from_limbs( + [0x3021a882ed13f223669e65d81db790, 0x66a367686ff336b8fac82b124e1a66, 0x006135], + ), + F::from_limbs( + [0x6d89d1cf521a52f9730ea6ccca6aa9, 0x874736ffd05944b37a5bdf5fc29b8e, 0x00017a], + ), + F::from_limbs( + [0x501a3130ac41ac068cf15833359558, 0x200bf29daceeee865dac2a421569c5, 0x007273], + ), + F::from_limbs( + [0x2ebb72dd507ad3e370ae5c9d88c367, 0xcad2981271db38af49782c25cc6a83, 0x002982], + ), + F::from_limbs( + [0x8ee89022ade12b1c8f51a262773c9a, 0xdc80918b0b6cfa8a8e8fdd7c0b9ad0, 0x004a6a], + ), + F::from_limbs( + [0x40bb9966258c7e444ef5bf9f9eaf5d, 0x50d0cd0a9c9ad02239843d3a7238d0, 0x00238a], + ), + F::from_limbs( + [0x7ce86999d8cf80bbb10a3f606150a4, 0x56825c92e0ad63179e83cc6765cc83, 0x005063], + ), + F::from_limbs( + [0xd860053850eb383390d76bb3f42bd6, 0x4a15cbfaab68c4280ae7caa60cf1aa, 0x003f5e], + ), + F::from_limbs( + [0xe543fdc7ad70c6cc6f28934c0bd42b, 0x5d3d5da2d1df6f11cd203efbcb13a8, 0x00348f], + ), + F::from_limbs( + [0xaef4419c79da6004e08d670c53a44e, 0xf7bd11fb6ad2133b0600858128f29b, 0x0069fc], + ), + F::from_limbs( + [0x0eafc16384819efb1f7297f3ac5bb3, 0xaf9617a212761ffed2078420af12b8, 0x0009f0], + ), + F::from_limbs( + [0x7f907f020a14b917b055c5dfbd2d5c, 0xe05ec31861f5674bdaf8e72b8709a1, 0x006927], + ), + F::from_limbs( + [0x3e1383fdf44745e84faa392042d2a5, 0xc6f466851b52cbedfd0f227650fbb2, 0x000ac5], + ), + F::from_limbs( + [0xebc1bad8e840c2ad13f6bbb95ec8ec, 0xcb2b258381423a47594a3ac9ba80ed, 0x000ba4], + ), + F::from_limbs( + [0xd1e24827161b3c52ec094346a13715, 0xdc280419fc05f8f27ebdced81d8465, 0x006848], + ), + F::from_limbs( + [0x2b07db533eecf717c095e63014ae72, 0x14ee8e4ee0069beb9bd9e5a49c9517, 0x002bbf], + ), + F::from_limbs( + [0x929c27acbf6f07e83f6a18cfeb518f, 0x92649b4e9d41974e3c2e23fd3b703c, 0x00482e], + ), + F::from_limbs( + [0xfce3f1ae16e1352f27668740f423f4, 0x53b32e18eb883962e4267ad3b836c2, 0x000776], + ), + F::from_limbs( + [0xc0c01151e77ac9d0d89977bf0bdc0d, 0x539ffb8491bff9d6f3e18ece1fce90, 0x006c77], + ), + F::from_limbs( + [0x0cb139b40f4c25efde2d1e3d91bdd7, 0x607ce8d23ffed09655e7bf9bbb56a0, 0x002fac], + ), + F::from_limbs( + [0xb0f2c94bef0fd91021d2e0c26e422a, 0x46d640cb3d4962a382204a061caeb3, 0x004441], + ), + F::from_limbs( + [0x9056c4e381145f218592573596e4e9, 0x1da7c6d8816a814bffbf8d20cef142, 0x000e09], + ), + F::from_limbs( + [0x2d4d3e1c7d479fde7a6da7ca691b18, 0x89ab62c4fbddb1edd8487c81091411, 0x0065e4], + ), + F::from_limbs( + [0x85d191ac75223523bb85f2da7f3e51, 0xb26339d05091e20e765bc6522c3d49, 0x0023fb], + ), + F::from_limbs( + [0x37d271538939c9dc447a0c2580c1b0, 0xf4efefcd2cb6512b61ac434fabc80a, 0x004ff1], + ), + F::from_limbs( + [0x42dd56d39e955417d408cfe1efe0da, 0x6dd7b2cf3c059a45ee2eabefd88d8d, 0x001286], + ), + F::from_limbs( + [0x7ac6ac2c5fc6aae82bf72f1e101f27, 0x397b76ce414298f3e9d95db1ff77c6, 0x006167], + ), + F::from_limbs( + [0x8ff68b2704622d8db3b98e4423fc50, 0x8734ba95974fe0a610e2a9cc4f55cf, 0x0021c7], + ), + F::from_limbs( + [0x2dad77d8f9f9d1724c4670bbdc03b1, 0x201e6f07e5f85293c7255fd588af84, 0x005226], + ), + F::from_limbs( + [0x8beba55b423887eb9775afe0580eb6, 0xc6493ca6f7bafdd94ab18c03456354, 0x00021f], + ), + F::from_limbs( + [0x31b85da4bc237714688a4f1fa7f14b, 0xe109ecf6858d35608d567d9e92a1ff, 0x0071cd], + ), + F::from_limbs( + [0xddf65cfc1c7f198f6e446f0ba80111, 0xfc3367b27efadae203a5d04d12b33b, 0x00547e], + ), + F::from_limbs( + [0xdfada603e1dce57091bb8ff457fef0, 0xab1fc1eafe4d5857d4623954c55217, 0x001f6e], + ), + F::from_limbs( + [0xb2111259c0e6827b9f2d0dfbe1fda0, 0xea46adb91f8909429055d788c6ef35, 0x0045e8], + ), + F::from_limbs( + [0x0b92f0a63d757c8460d2f1041e0261, 0xbd0c7be45dbf29f747b2321911161e, 0x002e04], + ), + F::from_limbs( + [0xd451939d2efc7530d247f9f1b06a9d, 0x723488ddb269aa2a0bb898bac279da, 0x002e0f], + ), + F::from_limbs( + [0xe9526f62cf5f89cf2db8050e4f9564, 0x351ea0bfcade890fcc4f70e7158b78, 0x0045de], + ), + F::from_limbs( + [0xcdfd800f910da40d61b57cc139d00a, 0x6f4e20fb2f20f36c5be4373da4ad3e, 0x002436], + ), + F::from_limbs( + [0xefa682f06d4e5af29e4a823ec62ff7, 0x380508a24e273fcd7c23d264335814, 0x004fb7], + ), + F::from_limbs( + [0xad59732db132de9f70a3a4625a28a2, 0x30d35a07976b6f22eeb847e6a4c2c5, 0x000455], + ), + F::from_limbs( + [0x104a8fd24d2920608f5c5a9da5d75f, 0x767fcf95e5dcc416e94fc1bb33428e, 0x006f98], + ), + F::from_limbs( + [0xa83f0d64199428796ae7ed987e3031, 0x66c481043d84ce7b5b9a58967a125a, 0x006e11], + ), + F::from_limbs( + [0x1564f59be4c7d6869518116781cfd0, 0x408ea8993fc364be7c6db10b5df2f9, 0x0005dc], + ), + F::from_limbs( + [0xfeec51f753cc687c69d6ae5df2c7e5, 0x01672a864c45dae541d1fd7ab0cf3b, 0x00252a], + ), + F::from_limbs( + [0xbeb7b108aa8f9683962950a20d381c, 0xa5ebff173102585496360c27273617, 0x004ec3], + ), + F::from_limbs( + [0x3737709114df79354b1b9355e6a54e, 0x4098bda9ad6a6469757c2498b0fd99, 0x006a78], + ), + F::from_limbs( + [0x866c926ee97c85cab4e46baa195ab3, 0x66ba6bf3cfddced0628be5092707ba, 0x000975], + ), + F::from_limbs( + [0x51ed8769fd01bf945fda78a7f367d9, 0x753bf1d2a62039f1517d74049b890e, 0x004fe3], + ), + F::from_limbs( + [0x6bb67b96015a3f6ba02586580c9828, 0x321737cad727f948868a959d3c7c45, 0x00240a], + ), + F::from_limbs( + [0x3fe7cabd0b23e5bf705eba460abe55, 0x3151de041923e02a79c24740b9cac2, 0x0008cf], + ), + F::from_limbs( + [0x7dbc3842f33819408fa144b9f541ac, 0x76014b996424530f5e45c2611e3a91, 0x006b1e], + ), + F::from_limbs( + [0x66c55dea845e4933d0b97dedcbec39, 0xbe534af38fff28cbbe5b58d6539c1a, 0x002362], + ), + F::from_limbs( + [0x56dea51579fdb5cc2f4681123413c8, 0xe8ffdea9ed490a6e19acb0cb846939, 0x00508a], + ), + F::from_limbs( + [0xe74ce466f28a996afd86c991620276, 0x6a14aab731397177349c6cb97b7c51, 0x005ffd], + ), + F::from_limbs( + [0xd6571e990bd165950279356e9dfd8b, 0x3d3e7ee64c0ec1c2a36b9ce85c8901, 0x0013f0], + ), + F::from_limbs( + [0xfc885d40f73760387ca37368ee6036, 0xfdacb64f6dcef359c6db5d8d487fc5, 0x003810], + ), + F::from_limbs( + [0xc11ba5bf07249ec7835c8b97119fcb, 0xa9a6734e0f793fe0112cac148f858d, 0x003bdc], + ), + F::from_limbs( + [0xe66d78cb626cc03ccda280ddf7c676, 0xaa5aa0b483b385f66bd08a1d249b53, 0x006a97], + ), + F::from_limbs( + [0xd7368a349bef3ec3325d7e2208398b, 0xfcf888e8f994ad436c377f84b369ff, 0x000955], + ), + F::from_limbs( + [0xe73f7a50c5aaeb5db85ae6ebfcb38d, 0xbca65083b25f7ee89ab1508940ca94, 0x001c15], + ), + F::from_limbs( + [0xd66488af38b113a247a51814034c74, 0xeaacd919cae8b4513d56b918973abe, 0x0057d7], + ), + F::from_limbs( + [0x3041d38fa295c8677f529da0db3616, 0x61b3e4c04bcf4cc051000148d5479a, 0x006b8b], + ), + F::from_limbs( + [0x8d622f705bc6369880ad615f24c9eb, 0x459f44dd3178e6798708085902bdb9, 0x000862], + ), + F::from_limbs( + [0x36ba5d59a1fdb3918b8ff2657cb799, 0x73141aa50ce8e0448856303668e326, 0x001a6f], + ), + F::from_limbs( + [0x86e9a5a65c5e4b6e74700c9a834868, 0x343f0ef8705f52f54fb1d96b6f222d, 0x00597e], + ), + F::from_limbs( + [0x6ccba57529ef3a2e69b325f8c2d10e, 0x4d647a8586116f35f254c16ac4e2e8, 0x000d42], + ), + F::from_limbs( + [0x50d85d8ad46cc4d1964cd9073d2ef3, 0x59eeaf17f736c403e5b3483713226b, 0x0066ab], + ), + F::from_limbs( + [0xd6a430a0bc13faa1c38e986fed60b7, 0xce5eedbb83c74a15db11a3b554b5d3, 0x006858], + ), + F::from_limbs( + [0xe6ffd25f4248045e3c716690129f4a, 0xd8f43be1f980e923fcf665ec834f7f, 0x000b94], + ), + F::from_limbs( + [0xbb69b1e997262c5f8b75eb59322015, 0xada1e5d0b6bf2aca0bb3f1eaef08eb, 0x0038e8], + ), + F::from_limbs( + [0x023a51166735d2a0748a13a6cddfec, 0xf9b143ccc689086fcc5417b6e8fc68, 0x003b04], + ), + F::from_limbs( + [0xb9c653a69df49edefa7c37d09c36a2, 0xadf904b0681b511569231f5f35c687, 0x0049b2], + ), + F::from_limbs( + [0x03ddaf59606760210583c72f63c95f, 0xf95a24ed152ce2246ee4ea42a23ecc, 0x002a3a], + ), + F::from_limbs( + [0x544e0eef300ebb6922152d741da680, 0xf4657f7341d681f7a80461466d15fc, 0x00633f], + ), + F::from_limbs( + [0x6955f410ce4d4396ddead18be25981, 0xb2edaa2a3b71b1423003a85b6aef57, 0x0010ad], + ), + F::from_limbs( + [0x3cb7a69485ca0129ceb6ef8030b2de, 0x6468a2d46ee05d32b857f28457a44c, 0x00702f], + ), + F::from_limbs( + [0x80ec5c6b7891fdd631490f7fcf4d23, 0x42ea86c90e67d6071fb0171d806107, 0x0003be], + ), + F::from_limbs( + [0x690adce0d4559ad0bab5f02b35aea3, 0x8d7a680f4f615969a24f8e2106f81a, 0x005dc7], + ), + F::from_limbs( + [0x5499261f2a06642f454a0ed4ca515e, 0x19d8c18e2de6d9d035b87b80d10d39, 0x001626], + ), + F::from_limbs( + [0xbf6566f761bbaaa58ea51a15cb2a93, 0xa436bbf70ebc9a481043f60ec7964f, 0x0042fa], + ), + F::from_limbs( + [0xfe3e9c089ca0545a715ae4ea34d56e, 0x031c6da66e8b98f1c7c41393106f03, 0x0030f3], + ), + F::from_limbs( + [0x3c61e635e16ea6e68378ad80a7bb00, 0x1824c50aa16fccd46c8c0a5d9be527, 0x004d3d], + ), + F::from_limbs( + [0x81421cca1ced58197c87517f584501, 0x8f2e6492dbd866656b7bff443c202c, 0x0026b0], + ), + F::from_limbs( + [0x32055cd6e43a26efe507326576562d, 0x3a3febc19c74e00c852874294fe1a0, 0x006623], + ), + F::from_limbs( + [0x8b9ea6291a21d8101af8cc9a89a9d4, 0x6d133ddbe0d3532d52df95788823b3, 0x000dca], + ), + F::from_limbs( + [0x920cdabfd84a8600c41c7ed4c36731, 0xe4e20eda21e3bc795bd8f25ded6ef3, 0x000937], + ), + F::from_limbs( + [0x2b972840261178ff3be3802b3c98d0, 0xc2711ac35b6476c07c2f1743ea9660, 0x006ab5], + ), + F::from_limbs( + [0xca1d8869e45cb67ef2f5436db89ce5, 0x428cd15fec9829f4d52d022a11c056, 0x003d18], + ), + F::from_limbs( + [0xf3867a9619ff48810d0abb9247631c, 0x64c6583d90b0094502db0777c644fc, 0x0036d5], + ), + F::from_limbs( + [0xc512d0ba6e3f20da7810f90a14ed63, 0xe965ba4aab15753bb87fe847a6e84a, 0x001400], + ), + F::from_limbs( + [0xf8913245901cde2587ef05f5eb129e, 0xbded6f52d232bdfe1f88215a311d08, 0x005fec], + ), + F::from_limbs( + [0xb385262d0e06a7bf046f046933915c, 0x2fcbe3d8e169f25d115b2909df5fae, 0x0070a5], + ), + F::from_limbs( + [0x0a1edcd2f0555740fb90fa96cc6ea5, 0x778745c49bde40dcc6ace097f8a5a5, 0x000348], + ), + F::from_limbs( + [0x8d607f4ee699ae051d64216ef65230, 0xb7a8f24647997c6daa193db1745c67, 0x003466], + ), + F::from_limbs( + [0x304383b117c250fae29bdd9109add1, 0xefaa375735aeb6cc2deecbf063a8ec, 0x003f86], + ), + F::from_limbs( + [0xd5f7ce03dd2713a624911665fba78b, 0x63171cfd358f14986d8c2b99885009, 0x002862], + ), + F::from_limbs( + [0xe7ac34fc2134eb59db6ee89a045876, 0x443c0ca047b91ea16a7bde084fb549, 0x004b8b], + ), + F::from_limbs( + [0xfe70a1a000bdeededa81868d68b00a, 0xd7c52f795ab5a3cbe846b833307b38, 0x0063a9], + ), + F::from_limbs( + [0xbf33615ffd9e1021257e7872974ff7, 0xcf8dfa2422928f6defc1516ea78a1a, 0x001043], + ), + F::from_limbs( + [0xe211b10f8f4244573cc1221781e0bc, 0xa9ee4fed8c9defe5bf47c589849963, 0x0002ca], + ), + F::from_limbs( + [0xdb9251f06f19baa8c33edce87e1f45, 0xfd64d9aff0aa435418c04418536bef, 0x007122], + ), + F::from_limbs( + [0x377cbd2bf36fcc3ec268ec688da522, 0x1c5a67a005fe6aef4b6396adfc608c, 0x004310], + ), + F::from_limbs( + [0x862745d40aec32c13d971297725adf, 0x8af8c1fd7749c84a8ca472f3dba4c7, 0x0030dd], + ), + F::from_limbs( + [0x258de8ab7c6bf6492d72265c8bb286, 0x12dd6a762ba5433ae5253027a86d6c, 0x001e57], + ), + F::from_limbs( + [0x98161a5481f008b6d28dd8a3744d7b, 0x9475bf2751a2effef2e2d97a2f97e7, 0x005596], + ), + F::from_limbs( + [0xfc6245c2276cfe52b9e2e3d8e363f5, 0x8f91391224f82d1509ea7380eb432e, 0x006724], + ), + F::from_limbs( + [0xc141bd3dd6ef00ad461d1b271c9c0c, 0x17c1f08b58500624ce1d9620ecc224, 0x000cc9], + ), + F::from_limbs( + [0xab98917739772b3fcea5a50aafcbdb, 0x2bbc74577df8687bcc2850f602ddf5, 0x002b9d], + ), + F::from_limbs( + [0x120b7188c4e4d3c0315a59f5503426, 0x7b96b545ff4fcabe0bdfb8abd5275e, 0x004850], + ), + F::from_limbs( + [0x59749fab0ea4f5cad4d5192ef12ff5, 0xf00a1aaafd469e2d6961368dca2476, 0x002787], + ), + F::from_limbs( + [0x642f6354efb709352b2ae5d10ed00c, 0xb7490ef28001950c6ea6d3140de0dd, 0x004c65], + ), + F::from_limbs( + [0xc74b9514983765d71e1882e1dd7f28, 0x927973e027868355da437798fef908, 0x00730c], + ), + F::from_limbs( + [0xf6586deb66249928e1e77c1e2280d9, 0x14d9b5bd55c1afe3fdc49208d90c4a, 0x0000e1], + ), + F::from_limbs( + [0xe18a0dbf32e81b22ac28512f733ac0, 0x88e2477fbf79aba7460fd9c360ec14, 0x006684], + ), + F::from_limbs( + [0xdc19f540cb73e3dd53d7add08cc541, 0x1e70e21dbdce879291f82fde77193e, 0x000d69], + ), + F::from_limbs( + [0x67f6c836862ed38368bc3ff9fe041d, 0x3f6664ca78be793846d6244234b80d, 0x005e13], + ), + F::from_limbs( + [0x55ad3ac9782d2b7c9743bf0601fbe4, 0x67ecc4d30489ba019131e55fa34d46, 0x0015da], + ), + F::from_limbs( + [0x95610ecb9899c53b6ead007648781c, 0xf6f4afb976d236fa3357bfa851e961, 0x0022da], + ), + F::from_limbs( + [0x2842f43465c239c49152fe89b787e5, 0xb05e79e40675fc3fa4b049f9861bf2, 0x005112], + ), + F::from_limbs( + [0xaa1b5e34bb77878b236035fa24c486, 0x954412900ed54088745ec1f2c16631, 0x0050d0], + ), + F::from_limbs( + [0x1388a4cb42e47774dc9fc905db3b7b, 0x120f170d6e72f2b163a947af169f22, 0x00231d], + ), + F::from_limbs( + [0x8a241be93dc8974e02b11bd3a217c2, 0x84a58f018d4c9b113b0587c1e3580c, 0x005870], + ), + F::from_limbs( + [0x337fe716c09367b1fd4ee32c5de83f, 0x22ad9a9beffb98289d0281dff4ad47, 0x001b7d], + ), + F::from_limbs( + [0x8dba7176a3140438e61a2bdb947cfb, 0x7d36756abfa6e6de4760c9223ca35d, 0x006d9b], + ), + F::from_limbs( + [0x2fe991895b47fac719e5d3246b8306, 0x2a1cb432bda14c5b90a7407f9b61f6, 0x000652], + ), + F::from_limbs( + [0x7a93ae34c98803cc138ce5decb272f, 0x9d92ac58ff78ea09ac3f1bdf706976, 0x002877], + ), + F::from_limbs( + [0x431054cb34d3fb33ec73192134d8d2, 0x09c07d447dcf49302bc8edc2679bdd, 0x004b76], + ), + F::from_limbs( + [0xf0341a13b3565ad286345e7ac747d6, 0x7c023d791f0bdc6832ada0a4abdbb2, 0x001473], + ), + F::from_limbs( + [0xcd6fe8ec4b05a42d79cba08538b82b, 0x2b50ec245e3c56d1a55a68fd2c29a0, 0x005f7a], + ), + F::from_limbs( + [0x4c4fa5f5263d07bfb59bd6f3e3410f, 0x1ddc11c537cbfe3ed86585643677f4, 0x00641b], + ), + F::from_limbs( + [0x71545d0ad81ef7404a64280c1cbef2, 0x897717d8457c34faffa2843da18d5f, 0x000fd2], + ), + F::from_limbs( + [0x2144b16886b434df3737d784288d49, 0x98ef059d3185cc257d69e121cd84b3, 0x006755], + ), + F::from_limbs( + [0x9c5f519777a7ca20c8c8277bd772b8, 0x0e6424004bc267145a9e28800a80a0, 0x000c98], + ), + F::from_limbs( + [0xdad8f147195417f8e3b085a77afbf2, 0xd402f8d47177c758c7a4112d4a8bea, 0x003aff], + ), + F::from_limbs( + [0xe2cb11b8e507e7071c4f795885040f, 0xd35030c90bd06be11063f8748d7968, 0x0038ed], + ), + F::from_limbs( + [0x13b822085973279feb3060dee77336, 0xec04bf19f89eb75b9bf5262d598072, 0x002dd3], + ), + F::from_limbs( + [0xa9ebe0f7a4e8d76014cf9e21188ccb, 0xbb4e6a8384a97bde3c12e3747e84e1, 0x004619], + ), + F::from_limbs( + [0xce316d93c6b00bb50855547902c03e, 0x97ca4d2c7b6a0c1945109c1f1e9c3a, 0x006ce3], + ), + F::from_limbs( + [0xef72956c37abf34af7aaaa86fd3fc3, 0x0f88dc7101de272092f76d82b96918, 0x00070a], + ), + F::from_limbs( + [0x694267eeda9311b9bc81d1e5f516e1, 0x5846cd4336b188de7c8b11604d8ff0, 0x006fb0], + ), + F::from_limbs( + [0x54619b1123c8ed46437e2d1a0ae920, 0x4f0c5c5a4696aa5b5b7cf8418a7563, 0x00043d], + ), + F::from_limbs( + [0x24f213c919d43d562e491138e601de, 0xe28f29fa7cfa57c3839a0140d9f2bb, 0x0007dd], + ), + F::from_limbs( + [0x98b1ef36e487c1a9d1b6edc719fe23, 0xc4c3ffa3004ddb76546e0860fe1298, 0x006c0f], + ), + F::from_limbs( + [0x6b7e5ff4d425ec22ae86624a026d8f, 0xf1287fe086b18251211dc7db069146, 0x00583a], + ), + F::from_limbs( + [0x5225a30b2a3612dd51799cb5fd9272, 0xb62aa9bcf696b0e8b6ea41c6d1740d, 0x001bb2], + ), + F::from_limbs( + [0x80b253331456f274067e67d28a7bf9, 0xe5fb6401d35e8b476c3d92001ca186, 0x000d83], + ), + F::from_limbs( + [0x3cf1afccea050c8bf981972d758408, 0xc157c59ba9e9a7f26bca77a1bb63cd, 0x006669], + ), + F::from_limbs( + [0xd98dbcb16d6b2bc8c4f400030cd5c1, 0x16f7a347bb978b3074eb9fb6094903, 0x0047b1], + ), + F::from_limbs( + [0xe416464e90f0d3373b0bfefcf32a40, 0x905b8655c1b0a809631c69ebcebc4f, 0x002c3c], + ), + F::from_limbs( + [0xb330e761da3be1436d1d98942671d5, 0xa5e3e36a9bf331e93cc37de09f5274, 0x006d89], + ), + F::from_limbs( + [0x0a731b9e24201dbc92e2666bd98e2c, 0x016f4632e15501509b448bc138b2df, 0x000664], + ), + F::from_limbs( + [0x3fb3867287d861038cb90b5f9e2564, 0x2156aa8bb80679fa31d23cd3c210ae, 0x0014ef], + ), + F::from_limbs( + [0x7df07c8d76839dfc7346f3a061da9d, 0x85fc7f11c541b93fa635ccce15f4a5, 0x005efe], + ), + F::from_limbs( + [0x32317a2cdbea65c58c12f0eb455e6b, 0x4698b9e42244abdd2198bdf7fde562, 0x00244b], + ), + F::from_limbs( + [0x8b7288d32271993a73ed0e14baa196, 0x60ba6fb95b03875cb66f4ba9da1ff1, 0x004fa2], + ), + F::from_limbs( + [0x8ed195331b98672808faa3ccaafe7d, 0xa34e6b5142c7e48095cf2e1b9d09fa, 0x00138f], + ), + F::from_limbs( + [0x2ed26dcce2c397d7f7055b33550184, 0x0404be4c3a804eb94238db863afb59, 0x00605e], + ), + F::from_limbs( + [0x6ce50ce8631ddc37c974247e893e37, 0xbafc2e8182867d9f8711636eb28e84, 0x004348], + ), + F::from_limbs( + [0x50bef6179b3e22c8368bda8176c1ca, 0xec56fb1bfac1b59a50f6a6332576cf, 0x0030a4], + ), + F::from_limbs( + [0xdb3d1d363620c7059279cc46720e88, 0x4bc4b85d0584dfd6b5fa91067e76e4, 0x000d5b], + ), + F::from_limbs( + [0xe266e5c9c83b37fa6d8632b98df179, 0x5b8e714077c35363220d789b598e6e, 0x006692], + ), + F::from_limbs( + [0x6ad7cae3c87627c98f6b3a48df5a28, 0xd4863b46a956c8dcee098ed888b038, 0x0029fb], + ), + F::from_limbs( + [0x52cc381c35e5d7367094c4b720a5d9, 0xd2ccee56d3f16a5ce9fe7ac94f551b, 0x0049f1], + ), + F::from_limbs( + [0xc9b512172293bb81396ff313d3bb80, 0x1736abd6d04b4739c52b4fabaab4dd, 0x005da9], + ), + F::from_limbs( + [0xf3eef0e8dbc8437ec6900bec2c4481, 0x901c7dc6acfcec0012dcb9f62d5075, 0x001644], + ), + F::from_limbs( + [0x977a45ccd1f4913ff0793ba434977c, 0x8bcb0af58a52192a995975d7064454, 0x003af5], + ), + F::from_limbs( + [0x2629bd332c676dc00f86c35bcb6885, 0x1b881ea7f2f61a0f3eae93cad1c0ff, 0x0038f8], + ), + F::from_limbs( + [0xef2fb42e82a91c3aaf009278b4b454, 0xef630dea07dd87c170f9a2a01856a4, 0x00038b], + ), + F::from_limbs( + [0xce744ed17bb2e2c550ff6c874b4bad, 0xb7f01bb3756aab78670e6701bfaeae, 0x007061], + ), + F::from_limbs( + [0xc8e73f1fb0956aac66e8dafc81fe1e, 0x059efabd9ae1387d443ddded77add3, 0x00321c], + ), + F::from_limbs( + [0xf4bcc3e04dc69453991724037e01e3, 0xa1b42edfe266fabc93ca2bb460577f, 0x0041d1], + ), + F::from_limbs( + [0x3933c1beda8052e1a0aa54ab584031, 0xe11c874ac1ff523154d2355e4e4176, 0x000605], + ), + F::from_limbs( + [0x8470414123dbac1e5f55aa54a7bfd0, 0xc636a252bb48e1088335d44389c3dd, 0x006de7], + ), + F::from_limbs( + [0x434bad0898bac4640aa66581465d9a, 0xaf57ad62903dde30dfbc088a2d14cc, 0x002840], + ), + F::from_limbs( + [0x7a5855f765a13a9bf559997eb9a267, 0xf7fb7c3aed0a5508f84c0117aaf087, 0x004bac], + ), + F::from_limbs( + [0xa295c7dfe550262e424716d6fbaa2d, 0xd989cae69b749be1ba8e713c6bf63c, 0x000224], + ), + F::from_limbs( + [0x1b0e3b20190bd8d1bdb8e8290455d4, 0xcdc95eb6e1d397581d7998656c0f17, 0x0071c8], + ), + F::from_limbs( + [0x027b481a99f8d7f13eed8a7afc59cc, 0x1cc9790e8f2c1db924e35b38caf6b5, 0x00086c], + ), + F::from_limbs( + [0xbb28bae56463270ec112748503a635, 0x8a89b08eee1c1580b324ae690d0e9e, 0x006b81], + ), + F::from_limbs( + [0x2f35aea290ac55b604c24be38ed2f2, 0xaa61fc26cd5f4c7a8318ba28706e7c, 0x004bf1], + ), + F::from_limbs( + [0x8e6e545d6dafa949fb3db31c712d0f, 0xfcf12d76afe8e6bf54ef4f796796d7, 0x0027fb], + ), + F::from_limbs( + [0x44c8d9317399ddb4c3351d1f85a494, 0x5c08fdb7b5f58ca2789772dc1ee600, 0x00527c], + ), + F::from_limbs( + [0x78db29ce8ac2214b3ccae1e07a5b6d, 0x4b4a2be5c752a6975f7096c5b91f53, 0x002171], + ), + F::from_limbs( + [0xacd8c18fd788b79108eb0359f985a8, 0xa5fb219c39b3597fd7cdb7cb9ec359, 0x0020c5], + ), + F::from_limbs( + [0x10cb417026d3476ef714fba6067a59, 0x015808014394d9ba003a51d63941fa, 0x005328], + ), + F::from_limbs( + [0x336e8b0eaa01fdee91311271ee45a3, 0x6b1c12f87566ddd0bf944a8e6d750a, 0x003ee3], + ), + F::from_limbs( + [0x8a3577f1545a01116eceec8e11ba5e, 0x3c3716a507e155691873bf136a9049, 0x00350a], + ), + F::from_limbs( + [0x0e3a4a2c1307877112e3fc3d4ace71, 0x75e2c927a7c9d2046ce027a513df74, 0x001ada], + ), + F::from_limbs( + [0xaf69b8d3eb54778eed1c02c2b53190, 0x31706075d57e61356b27e1fcc425df, 0x005913], + ), + F::from_limbs( + [0x531d011069710c1aadbdf0d9becb26, 0xfe392258bd3c57b360a745e7386083, 0x005264], + ), + F::from_limbs( + [0x6a8701ef94eaf2e552420e264134db, 0xa91a0744c00bdb867760c3ba9fa4d0, 0x002188], + ), + F::from_limbs( + [0xe9187454698944ac775919154154c1, 0x8c85aab132d3f04ce0af0a60f99468, 0x001dba], + ), + F::from_limbs( + [0xd48b8eab94d2ba5388a6e5eabeab40, 0x1acd7eec4a7442ecf758ff40de70ea, 0x005633], + ), + F::from_limbs( + [0x6c1604b24820a3770340790d55dc4c, 0x70485191eb56fc775110f342bec6f3, 0x003e60], + ), + F::from_limbs( + [0x518dfe4db63b5b88fcbf85f2aa23b5, 0x370ad80b91f136c286f7165f193e60, 0x00358d], + ), + F::from_limbs( + [0xeafb428e38a30928c22245d72bb2a3, 0xce32f7e962fa2b3e31afd97e204be3, 0x004902], + ), + F::from_limbs( + [0xd2a8c071c5b8f5d73dddb928d44d5e, 0xd92031b41a4e07fba6583023b7b96f, 0x002aea], + ), + F::from_limbs( + [0x3a451584a96e0ef35f980490fcc053, 0xd4e5faca74e951f07361d72a49f4b1, 0x00173b], + ), + F::from_limbs( + [0x835eed7b54edf00ca067fa6f033fae, 0xd26d2ed3085ee14964a632778e10a2, 0x005cb1], + ), + F::from_limbs( + [0x2e15a71ff3bb6b1793eb9057fda39b, 0x6d1eafc21e45b97be27adfc8bad8f1, 0x00170c], + ), + F::from_limbs( + [0x8f8e5be00aa093e86c146ea8025c66, 0x3a3479db5f0279bdf58d29d91d2c62, 0x005ce1], + ), + F::from_limbs( + [0x91a01cb11e1d388fbbb51771aacdbc, 0x5543e381889b38beaaccd6ea72786b, 0x003dcd], + ), + F::from_limbs( + [0x2c03e64ee03ec670444ae78e553245, 0x520f461bf4acfa7b2d3b32b7658ce8, 0x003620], + ), + F::from_limbs( + [0x1b2c2bf57e2ffa8bff0d76e779efd8, 0x136e7973448a6e8452d09af6d4fe0b, 0x002579], + ), + F::from_limbs( + [0xa277d70a802c047400f28818861029, 0x93e4b02a38bdc4b585376eab030748, 0x004e74], + ), + F::from_limbs( + [0x965114af80d5f237b8489e744cdb6a, 0x34a8111b5e6c4c02091f65cedfc07a, 0x000798], + ), + F::from_limbs( + [0x2752ee507d860cc847b7608bb32497, 0x72ab18821edbe737cee8a3d2f844d9, 0x006c55], + ), + F::from_limbs( + [0xe7ccd1f49218bcde0a39b54757baf4, 0x55b1570da586ba40c31e363e1506aa, 0x006c6a], + ), + F::from_limbs( + [0xd5d7310b6c434221f5c649b8a8450d, 0x51a1d28fd7c178f914e9d363c2fea8, 0x000783], + ), + F::from_limbs( + [0xd75a4c1d0a47bc8a57f67a92771886, 0xf7e713a14f663701ec08b9515cc1d4, 0x00504d], + ), + F::from_limbs( + [0xe649b6e2f4144275a809846d88e77b, 0xaf6c15fc2de1fc37ebff50507b437e, 0x00239f], + ), + F::from_limbs( + [0x4a6f5157ee66feed092f02034b4427, 0x089313ebbb63ab112c6e47f651c56b, 0x004f80], + ), + F::from_limbs( + [0x7334b1a80ff50012f6d0fcfcb4bbda, 0x9ec015b1c1e48828ab99c1ab863fe8, 0x00246d], + ), + F::from_limbs( + [0x960a2dbf6b89282bb928b6c2bc3afc, 0x9de0cb3644273fde5012c262290cdd, 0x000f2b], + ), + F::from_limbs( + [0x2799d54092d2d6d446d7483d43c505, 0x09725e673920f35b87f5473faef876, 0x0064c2], + ), + F::from_limbs( + [0xd8f900e407b7f428bce7e30c66a081, 0xa99e4a437b505d95dfd1630242422e, 0x005a1e], + ), + F::from_limbs( + [0xe4ab021bf6a40ad743181bf3995f80, 0xfdb4df5a01f7d5a3f836a69f95c324, 0x0019ce], + ), + F::from_limbs( + [0x7d648cf9f44e1804ceeaa511f4fae9, 0x69d70232147b3a090bcaa59c776b2b, 0x0041e4], + ), + F::from_limbs( + [0x403f76060a0de6fb311559ee0b0518, 0x3d7c276b68ccf930cc3d6405609a28, 0x003209], + ), + F::from_limbs( + [0x25da2e047033fefbbcff900fcc827f, 0x02ebc6464d846f98cb09f9865d83d0, 0x004d59], + ), + F::from_limbs( + [0x97c9d4fb8e28000443006ef0337d82, 0xa46763572fc3c3a10cfe101b7a8183, 0x002694], + ), + F::from_limbs( + [0xee0ffdf718781e60b137ab482066e4, 0xbc8d78d3c3cc9173a7c9c3c994b807, 0x001459], + ), + F::from_limbs( + [0xcf940508e5e3e09f4ec853b7df991d, 0xeac5b0c9b97ba1c6303e45d8434d4b, 0x005f93], + ), + F::from_limbs( + [0x525bc3d1cd03ba13854305ef54b104, 0x6d82f16d68853bf7bb74b643ac07c9, 0x000956], + ), + F::from_limbs( + [0x6b483f2e315844ec7abcf910ab4efd, 0x39d0383014c2f7421c93535e2bfd8a, 0x006a97], + ), + F::from_limbs( + [0x5e2f10a51b5409e93521dc76f14b89, 0x6a17ed37cedbd2dff79cd54a6ea067, 0x000beb], + ), + F::from_limbs( + [0x5f74f25ae307f516cade22890eb478, 0x3d3b3c65ae6c6059e06b34576964ec, 0x006802], + ), + F::from_limbs( + [0x55735e16b82bb0a2073fb0e02a7667, 0x7f1df880e7c227e024663dc027bae4, 0x006a70], + ), + F::from_limbs( + [0x6830a4e946304e5df8c04e1fd5899a, 0x2835311c95860b59b3a1cbe1b04a6f, 0x00097d], + ), + F::from_limbs( + [0x3c367ca1d1ffe6e2ae57afb246966b, 0xe0e87f964513f8ddba3c5316c7ec75, 0x0013e7], + ), + F::from_limbs( + [0x816d865e2c5c181d51a84f4db96996, 0xc66aaa0738343a5c1dcbb68b1018de, 0x006005], + ), + F::from_limbs( + [0xb3e11681c510a6dd5a6a3e91095dc7, 0x32d749c30d1dc4895811317d780782, 0x004019], + ), + F::from_limbs( + [0x09c2ec7e394b5822a595c06ef6a23a, 0x747bdfda702a6eb07ff6d8245ffdd1, 0x0033d4], + ), + F::from_limbs( + [0xbd453fb132b4682cdfe9db0ff4374b, 0x9c9a35f12409aee55906ba0e6f2ed2, 0x003225], + ), + F::from_limbs( + [0x005ec34ecba796d3201623f00bc8b6, 0x0ab8f3ac593e84547f014f9368d681, 0x0041c8], + ), + F::from_limbs( + [0xc6f53956b47ef98c1e4633a1e79a90, 0xf8a65c0009dce5d7361d5906eb273a, 0x002444], + ), + F::from_limbs( + [0xf6aec9a949dd0573e1b9cb5e186571, 0xaeaccd9d736b4d62a1eab09aecde18, 0x004fa8], + ), + F::from_limbs( + [0x73a69a942f840ad1d45960e9d626dc, 0xfe77b2223aa587ca2ddd92f73d486e, 0x001875], + ), + F::from_limbs( + [0x49fd686bced7f42e2ba69e1629d925, 0xa8db777b42a2ab6faa2a76aa9abce5, 0x005b77], + ), + F::from_limbs( + [0x880501279a899bcee868ce8587a13b, 0x8f1b04bfd10c7250976724baad776d, 0x0018f1], + ), + F::from_limbs( + [0x359f01d863d263311797307a785ec6, 0x183824ddac3bc0e940a0e4e72a8de6, 0x005afc], + ), + F::from_limbs( + [0xb3d3b950311f02a824f0ba9a8f2963, 0x7cb97acb4245d1566d60c3a6ba5720, 0x0036d4], + ), + F::from_limbs( + [0x09d049afcd3cfc57db0f446570d69e, 0x2a99aed23b0261e36aa745fb1dae33, 0x003d19], + ), + F::from_limbs( + [0x8992a0b4aebe62c3176cafbba6ece2, 0x3e3e42733334ed43caff7cac4fa484, 0x005665], + ), + F::from_limbs( + [0x3411624b4f9d9c3ce8934f4459131f, 0x6914e72a4a1345f60d088cf58860cf, 0x001d88], + ), + F::from_limbs( + [0x3e333e731c6d86ea2f0310654c1c69, 0x45e320a61c7930dd4640b8259046fa, 0x0072e0], + ), + F::from_limbs( + [0x7f70c48ce1ee7815d0fcee9ab3e398, 0x617008f760cf025c91c7517c47be59, 0x00010d], + ), + F::from_limbs( + [0xb4fac3c927f6e90d16741ca2ea19f3, 0x2ea688ce95690fb3e7765ded195901, 0x005fc4], + ), + F::from_limbs( + [0x08a93f36d66515f2e98be25d15e60e, 0x78aca0cee7df2385f091abb4beac52, 0x001429], + ), + F::from_limbs( + [0x38250aebdfea19439e2c0f3fec014c, 0x0c68a0cd2567ed61c7c501f9cc757c, 0x005f62], + ), + F::from_limbs( + [0x857ef8141e71e5bc61d3efc013feb5, 0x9aea88d057e045d8104307a80b8fd7, 0x00148b], + ), + F::from_limbs( + [0x315044d26ab11b7f5d7bffe0b305c8, 0x73d2528c3d883247ea42471dd1c0ed, 0x006381], + ), + F::from_limbs( + [0x8c53be2d93aae380a283ff1f4cfa39, 0x3380d7113fc000f1edc5c284064466, 0x00106c], + ), + F::from_limbs( + [0x80ec4b796d3c1fa24716c0654b3fca, 0x7624f7423ea31f36512a3c42e181bd, 0x006902], + ), + F::from_limbs( + [0x3cb7b786911fdf5db8e93e9ab4c037, 0x312e325b3ea5140386ddcd5ef68396, 0x000aeb], + ), + F::from_limbs( + [0xd55c9043bd712ec2374a085a04cf77, 0x4dce95290db96dbc6e981c87cc0d39, 0x0039dd], + ), + F::from_limbs( + [0xe84772bc40ead03dc8b5f6a5fb308a, 0x598494746f8ec57d696fed1a0bf819, 0x003a10], + ), + F::from_limbs( + [0xbf7472dae4da3860bf9e6bf6e31812, 0xb2cbafa33fb884780e7c68542c3f12, 0x006bd1], + ), + F::from_limbs( + [0xfe2f90251981c69f406193091ce7ef, 0xf48779fa3d8faec1c98ba14dabc640, 0x00081b], + ), + F::from_limbs( + [0xdd1b58249906be9ff079ce58af3199, 0xcedb6916a28c6ca682e24066db3c86, 0x001c77], + ), + F::from_limbs( + [0xe088aadb655540600f8630a750ce68, 0xd877c086dabbc6935525c93afcc8cc, 0x005775], + ), + F::from_limbs( + [0xb2c473d5eff1b216b4e9b27e7dd10b, 0x04f3b5c0b97878d28972a2a650511c, 0x0052f6], + ), + F::from_limbs( + [0x0adf8f2a0e6a4ce94b164c81822ef6, 0xa25f73dcc3cfba674e9566fb87b437, 0x0020f7], + ), + F::from_limbs( + [0x8ad7d4ab3b17b51f1f8779e781781b, 0x9112fa9f6cf5817199711eebb68441, 0x00416b], + ), + F::from_limbs( + [0x32cc2e54c34449e0e07885187e87e6, 0x16402efe1052b1c83e96eab6218112, 0x003282], + ), + F::from_limbs( + [0x388900a081efcebb6ed1c6d5c49f1c, 0xb4fd14ec51aeca9da4521c768d51ec, 0x001d1d], + ), + F::from_limbs( + [0x851b025f7c6c3044912e382a3b60e5, 0xf25614b12b99689c33b5ed2b4ab367, 0x0056cf], + ), + F::from_limbs( + [0x7bc9af0716769144464acf1f36c0d2, 0xf594e8c1b0eaeb8fc60143a855ad12, 0x006cdf], + ), + F::from_limbs( + [0x41da53f8e7e56dbbb9b52fe0c93f2f, 0xb1be40dbcc5d47aa1206c5f9825841, 0x00070d], + ), + F::from_limbs( + [0x9c31869ce1406981ccf144abd15da6, 0x3ce0bc31b687d449f891cf11c7f71e, 0x0032a7], + ), + F::from_limbs( + [0x21727c631d1b957e330eba542ea25b, 0x6a726d6bc6c05eefdf763a90100e35, 0x004146], + ), + F::from_limbs( + [0x3287e1eea50550f6cff67feb0214a3, 0x2edb568a00aaae9ef31c7368529f7b, 0x001469], + ), + F::from_limbs( + [0x8b1c21115956ae0930097f14fdeb5e, 0x7877d3137c9d849ae4eb96398565d8, 0x005f84], + ), + F::from_limbs( + [0x1765e37219c59a01744eaf22f61cd5, 0xa5ee072d800a1ddf4a71f83fdd1ad2, 0x005ac1], + ), + F::from_limbs( + [0xa63e1f8de49664fe8bb14fdd09e32c, 0x0165226ffd3e155a8d961161faea81, 0x00192c], + ), + F::from_limbs( + [0x9cafd3f14593be08db6cfdab4f5cbc, 0x28b7d9ee0088d8fd5273b9e4c23a8a, 0x0057b4], + ), + F::from_limbs( + [0x20f42f0eb8c840f724930154b0a345, 0x7e9b4faf7cbf5a3c85944fbd15cac9, 0x001c39], + ), + F::from_limbs( + [0x1d9eb5efde33ed0116fc035b9ef1e4, 0xbde86d834a067c0302160fb86d4f84, 0x00151e], + ), + F::from_limbs( + [0xa0054d10202811fee903fba4610e1d, 0xe96abc1a3341b736d5f1f9e96ab5cf, 0x005ece], + ), + F::from_limbs( + [0x6855f02b9c14d37b254b4c16aecf49, 0xebabeb3d7ef48c4988b6f7e98663fa, 0x0034ca], + ), + F::from_limbs( + [0x554e12d462472b84dab4b2e95130b8, 0xbba73e5ffe53a6f04f5111b851a159, 0x003f22], + ), + F::from_limbs( + [0x018d3725a347a231aef389d1650159, 0xe15e3ad0ea849dd9032a8990ebcab4, 0x00055b], + ), + F::from_limbs( + [0xbc16cbda5b145cce510c752e9afea8, 0xc5f4eecc92c39560d4dd8010ec3a9f, 0x006e91], + ), + F::from_limbs( + [0x291cf291adb45adf4f59597e92099f, 0x5f789f1b1294ee932d062fe4dad38d, 0x0016a6], + ), + F::from_limbs( + [0x9487106e50a7a420b0a6a5816df662, 0x47da8a826ab344a6ab01d9bcfd31c6, 0x005d47], + ), + F::from_limbs( + [0x6c7c3031e114547e10569404305b4e, 0x0bfd1bdf8a97e9ebe9b3a7f47018b5, 0x005d66], + ), + F::from_limbs( + [0x5127d2ce1d47aa81efa96afbcfa4b3, 0x9b560dbdf2b0494dee5461ad67ec9e, 0x001687], + ), + F::from_limbs( + [0xd91b48dadb210c247b1a81979f35c0, 0x6ac519183e52453eabbc8a1e13a637, 0x0065d5], + ), + F::from_limbs( + [0xe488ba25233af2db84e57d6860ca41, 0x3c8e10853ef5edfb2c4b7f83c45f1b, 0x000e18], + ), + F::from_limbs( + [0xf9c0f86360276418f827bbe6225400, 0xde0c2c3ab91f997809bf4d6d1952fa, 0x0026db], + ), + F::from_limbs( + [0xc3e30a9c9e349ae707d84319ddac01, 0xc946fd62c42899c1ce48bc34beb258, 0x004d11], + ), + F::from_limbs( + [0x80d9b39a09327511be38f00fe0e15b, 0x0ed0b718d075007221b4e63392be47, 0x006b81], + ), + F::from_limbs( + [0x3cca4f65f52989ee41c70ef01f1ea6, 0x98827284acd332c7b653236e45470c, 0x00086c], + ), + F::from_limbs( + [0x37d5f8a16c4f0f051e1aa4af01a637, 0x04ef549725e3a992bf6d27f26ad9a0, 0x006706], + ), + F::from_limbs( + [0x85ce0a5e920ceffae1e55a50fe59ca, 0xa263d506576489a7189ae1af6d2bb3, 0x000ce7], + ), + F::from_limbs( + [0xd3148a4e36e3f07250f3cf33f08243, 0x11b3253731a2f1970b62d2eeb13eaf, 0x001c8e], + ), + F::from_limbs( + [0xea8f78b1c7780e8daf0c2fcc0f7dbe, 0x95a004664ba541a2cca536b326c6a3, 0x00575f], + ), + F::from_limbs( + [0xd921850e3e933c628e568582ec954a, 0x63d8ead24230b1313472e590e57dc9, 0x0010ec], + ), + F::from_limbs( + [0xe4827df1bfc8c29d71a9797d136ab7, 0x437a3ecb3b178208a3952410f28789, 0x006301], + ), + F::from_limbs( + [0xca58916c4689cf7045743933f004c4, 0x0c8b650b839487fbfdffef881252a8, 0x0025e5], + ), + F::from_limbs( + [0xf34b7193b7d22f8fba8bc5cc0ffb3d, 0x9ac7c491f9b3ab3dda081a19c5b2aa, 0x004e08], + ), + F::from_limbs( + [0x98a02aabd7ff53948a74e7d72a06cd, 0x3cd150debfd777dd0e7b4cd77e3590, 0x006129], + ), + F::from_limbs( + [0x2503d854265cab6b758b1728d5f934, 0x6a81d8bebd70bb5cc98cbcca59cfc3, 0x0012c4], + ), + F::from_limbs( + [0x8d3c5d8e2ae3c2772ae3260559361e, 0x29d913bae95cd300eb8ed538a67baf, 0x006233], + ), + F::from_limbs( + [0x3067a571d3783c88d51cd8faa6c9e3, 0x7d7a15e293eb6038ec7934693189a4, 0x0011ba], + ), + F::from_limbs( + [0x7cb9e132d2958e4a821d18d001905b, 0x4d1e9a0e31c08c8b929e83caa601f1, 0x0042c1], + ), + F::from_limbs( + [0x40ea21cd2bc670b57de2e62ffe6fa6, 0x5a348f8f4b87a6ae456985d7320362, 0x00312c], + ), + F::from_limbs( + [0xb6a6109f87dc09a945ddfd3194d6d4, 0x6a5b221a98193db17c13a115ad244a, 0x006b90], + ), + F::from_limbs( + [0x06fdf260767ff556ba2201ce6b292d, 0x3cf80782e52ef5885bf4688c2ae109, 0x00085d], + ), + F::from_limbs( + [0xb409a53b4e735b3e20998093f034d1, 0x4132904aebad93d405cac07f33f025, 0x002dcc], + ), + F::from_limbs( + [0x099a5dc4afe8a3c1df667e6c0fcb30, 0x66209952919a9f65d23d4922a4152e, 0x004621], + ), + F::from_limbs( + [0x347967c3bc6e57d128b5e565be28ca, 0xd7c469a307201e75fc005a4b76b707, 0x0040d8], + ), + F::from_limbs( + [0x892a9b3c41eda72ed74a199a41d737, 0xcf8ebffa762814c3dc07af56614e4c, 0x003314], + ), + F::from_limbs( + [0xe64499b0d7caec0b00709d16ad9a83, 0xb54c8d72e98d795445bdfc60240f61, 0x00365f], + ), + F::from_limbs( + [0xd75f694f269112f4ff8f61e952657e, 0xf2069c2a93bab9e5924a0d41b3f5f1, 0x003d8d], + ), + F::from_limbs( + [0xd7a3987f769bcdcca9e87f5a7f1839, 0x28c04a0ebb7cef135ae7b8e3362098, 0x000aaf], + ), + F::from_limbs( + [0xe6006a8087c0313356177fa580e7c8, 0x7e92df8ec1cb44267d2050bea1e4ba, 0x00693e], + ), + F::from_limbs( + [0x46526f56e933837b9a7281e045bece, 0xca3c7024fc860c906c9a837e1ef6c9, 0x0051c3], + ), + F::from_limbs( + [0x775193a915287b84658d7d1fba4133, 0xdd16b97880c226a96b6d8623b90e8a, 0x002229], + ), + F::from_limbs( + [0x7bf2539257c17e7aad249861212753, 0x694837b9391d085fa60b9f017e7069, 0x0036a0], + ), + F::from_limbs( + [0x41b1af6da69a808552db669eded8ae, 0x3e0af1e4442b2ada31fc6aa05994ea, 0x003d4d], + ), + F::from_limbs( + [0x08ab2a2ad21968eec3c5de94bad69d, 0xc186cf00b349406509fe76f63710de, 0x0054c8], + ), + F::from_limbs( + [0xb4f8d8d52c4296113c3a206b452964, 0xe5cc5a9cc9fef2d4ce0992aba0f475, 0x001f24], + ), + F::from_limbs( + [0x944f00370ccf4f13fb91c643fb2d66, 0x95a692611ba92c8972a756f96cb36c, 0x003bbe], + ), + F::from_limbs( + [0x295502c8f18cafec046e38bc04d29b, 0x11ac973c619f06b06560b2a86b51e7, 0x00382f], + ), + F::from_limbs( + [0x272c6068d63114246a617ab5b1d7c1, 0xc9ed81babb1d1bd763ca4d6bdfd295, 0x005026], + ), + F::from_limbs( + [0x9677a297282aeadb959e844a4e2840, 0xdd65a7e2c22b1762743dbc35f832be, 0x0023c6], + ), + F::from_limbs( + [0x951e797897dba86fdf5cf1dc0d5e2d, 0xeff498b8905fcb05b3a6dd0acdcfa0, 0x00328e], + ), + F::from_limbs( + [0x288589876680569020a30d23f2a1d4, 0xb75e90e4ece8683424612c970a35b3, 0x00415e], + ), + F::from_limbs( + [0x6c51f4dd49bc1edfaec8846128af8c, 0xec951e59e820a34667352ae9d5dc49, 0x00565e], + ), + F::from_limbs( + [0x51520e22b49fe02051377a9ed75075, 0xbabe0b4395278ff370d2deb802290a, 0x001d8e], + ), + F::from_limbs( + [0x564a7da1b902e56caf3d28aac9a3c4, 0xb58e63be683db556ce006a3e0689cf, 0x0032f3], + ), + F::from_limbs( + [0x6759855e4559199350c2d655365c3d, 0xf1c4c5df150a7de30a079f63d17b84, 0x0040f9], + ), + F::from_limbs( + [0xc813f4bdbc74d2b530d23b962f2a33, 0xdc158b69f2a11da67680a3c4d0af46, 0x004500], + ), + F::from_limbs( + [0xf5900e4241e72c4acf2dc369d0d5ce, 0xcb3d9e338aa71593618765dd07560c, 0x002eec], + ), + F::from_limbs( + [0x5b041f5f9708988f8dae3158baa4f0, 0xfeb5f831eb4b4062055dbcce3169b1, 0x00257e], + ), + F::from_limbs( + [0x629fe3a0675366707251cda7455b11, 0xa89d316b91fcf2d7d2aa4cd3a69ba2, 0x004e6e], + ), + F::from_limbs( + [0xd87eea1587a122a77fcdb6e01fc805, 0xddb0d6f819ff9a970fd511c11cc817, 0x005111], + ), + F::from_limbs( + [0xe52518ea76badc588032481fe037fc, 0xc9a252a5634898a2c832f7e0bb3d3b, 0x0022db], + ), + F::from_limbs( + [0xcbb32eecd136f3bd36b91fbcc4d9b6, 0x5004d39bdc27c60b52058c6a5d992c, 0x0036d5], + ), + F::from_limbs( + [0xf1f0d4132d250b42c946df433b264b, 0x574e5601a1206d2e86027d377a6c26, 0x003d18], + ), + F::from_limbs( + [0x31775507138bf4d55710af424be9d8, 0xced1d9e77067fa868a71c6f77de16d, 0x006ab5], + ), + F::from_limbs( + [0x8c2cadf8ead00a2aa8ef4fbdb41629, 0xd8814fb60ce038b34d9642aa5a23e6, 0x000937], + ), + F::from_limbs( + [0x22be3aea24e089a73c2d0794e42fd6, 0x2e20bfe4966c7b20ecd45027f90dba, 0x002641], + ), + F::from_limbs( + [0x9ae5c815d97b7558c3d2f76b1bd02b, 0x793269b8e6dbb818eb33b979def799, 0x004dac], + ), + F::from_limbs( + [0x44e9ca24af3f23db594c625e551d2f, 0xaa708ba0d9387fc2ea6188ea73aeba, 0x005797], + ), + F::from_limbs( + [0x78ba38db4f1cdb24a6b39ca1aae2d2, 0xfce29dfca40fb376eda680b7645699, 0x001c55], + ), + F::from_limbs( + [0x1a389fbb63a04a5f354e65971de4d9, 0x55f4c40d039d403ad68fd45a57b606, 0x00422e], + ), + F::from_limbs( + [0xa36b63449abbb4a0cab19968e21b28, 0x515e659079aaf2ff01783547804f4d, 0x0031bf], + ), + F::from_limbs( + [0xb6cdeb0f626ed00651b1676d885461, 0x33380951bff039cc3eca9b8f12386f, 0x0033f6], + ), + F::from_limbs( + [0x06d617f09bed2ef9ae4e979277aba0, 0x741b204bbd57f96d993d6e12c5cce4, 0x003ff7], + ), + F::from_limbs( + [0xda6ff3d514cd34f981d24464db09e3, 0x09b0db598773f7ce184aa37ed63aa3, 0x0007f7], + ), + F::from_limbs( + [0xe3340f2ae98eca067e2dba9b24f61e, 0x9da24e43f5d43b6bbfbd662301caaf, 0x006bf6], + ), + F::from_limbs( + [0xd1f0ef63638923521de4c4c32db9ab, 0xbf2f35a097b959e1e80e2b91530396, 0x0021cc], + ), + F::from_limbs( + [0xebb3139c9ad2dbade21b3a3cd24656, 0xe823f3fce58ed957eff9de108501bc, 0x005220], + ), + F::from_limbs( + [0xd4938d032e32e3680c16c5a25aa156, 0x3cf7027be69cc607157d64fd6ad8aa, 0x007110], + ), + F::from_limbs( + [0xe91075fcd0291b97f3e9395da55eab, 0x6a5c272196ab6d32c28aa4a46d2ca8, 0x0002dd], + ), + F::from_limbs( + [0x49f11bcd26167e652046ce1ccb0b04, 0x0ab5a536a2bc4ae3bc899b9f299d3d, 0x006f24], + ), + F::from_limbs( + [0x73b2e732d845809adfb930e334f4fd, 0x9c9d8466da8be8561b7e6e02ae6816, 0x0004c9], + ), + F::from_limbs( + [0x86d07b2a764c768bf2bded30b49e55, 0x35c886192d15cdecb2b5626ba1982a, 0x001d5e], + ), + F::from_limbs( + [0x36d387d5880f88740d4211cf4b61ac, 0x718aa3845032654d2552a736366d29, 0x00568f], + ), + F::from_limbs( + [0x741dccc9d3b837864148660c5ff769, 0x674a258c9a5f5df0c9cf432b619672, 0x0044a4], + ), + F::from_limbs( + [0x498636362aa3c779beb798f3a00898, 0x40090410e2e8d5490e38c676766ee1, 0x002f49], + ), + F::from_limbs( + [0xf349c07945e5e0edb443dca4bddafd, 0xb2d557f9bc8f70459aa181f5b2c711, 0x00091a], + ), + F::from_limbs( + [0xca5a4286b8761e124bbc225b422504, 0xf47dd1a3c0b8c2f43d6687ac253e41, 0x006ad2], + ), + F::from_limbs( + [0x00d055d2a9b0bc6d8a5054451ad0e3, 0x34fba2e3d54058c59b99b8084fe171, 0x007059], + ), + F::from_limbs( + [0xbcd3ad2d54ab429275afaabae52f1e, 0x725786b9a807da743c6e51998823e2, 0x000394], + ), + F::from_limbs( + [0xdf38bbada9907b5c19b4d0ea2cf552, 0xe3137f39dc7cc1b70fdd68b0c23c3a, 0x0064a0], + ), + F::from_limbs( + [0xde6b475254cb83a3e64b2e15d30aaf, 0xc43faa63a0cb7182c82aa0f115c918, 0x000f4c], + ), + F::from_limbs( + [0xf33e0433d82ab9c8eb3ce41f9b3865, 0x856912a85c660aad656ffeb6c2bf63, 0x006c1f], + ), + F::from_limbs( + [0xca65fecc2631453714c31ae064c79c, 0x21ea16f520e2288c72980aeb1545ef, 0x0007ce], + ), + F::from_limbs( + [0xa761ed7f56302d96809abbf18276db, 0xe1596b71f9bc589a263dde7e697951, 0x005505], + ), + F::from_limbs( + [0x16421580a82bd1697f65430e7d8926, 0xc5f9be2b838bda9fb1ca2b236e8c02, 0x001ee7], + ), + F::from_limbs( + [0x4999895b894e7b3bcce44cd25431fe, 0x099c42c3c3a0f3e1f8c910f610b39b, 0x00349e], + ), + F::from_limbs( + [0x740a79a4750d83c4331bb22dabce03, 0x9db6e6d9b9a73f57df3ef8abc751b8, 0x003f4f], + ), + F::from_limbs( + [0xef365d8f564d8665d97d20da8a4880, 0x019e35705d3df95a130822cd786187, 0x005d09], + ), + F::from_limbs( + [0xce6da570a80e789a2682de2575b781, 0xa5b4f42d200a39dfc4ffe6d45fa3cb, 0x0016e4], + ), + F::from_limbs( + [0xbc1a689171d2cf978fe23164f37571, 0xf0e9d4f0de132b3dd8b8c5ad4beab0, 0x0073cf], + ), + F::from_limbs( + [0x01899a6e8c892f68701dcd9b0c8a90, 0xb66954ac9f3507fbff4f43f48c1aa3, 0x00001d], + ), + F::from_limbs( + [0x3ffb8f77520ffff2a23b550a4ab2db, 0x0b24e9dfe12818744d82593f6f34d6, 0x0057cf], + ), + F::from_limbs( + [0x7da87388ac4bff0d5dc4a9f5b54d26, 0x9c2e3fbd9c201ac58a85b06268d07d, 0x001c1e], + ), + F::from_limbs( + [0x997826bfc8ad389e25e3fe6cef99eb, 0x78749cc708a949a477553bc2f4fc33, 0x000ab3], + ), + F::from_limbs( + [0x242bdc4035aec661da1c0093106616, 0x2ede8cd6749ee99560b2cddee30920, 0x00693a], + ), + F::from_limbs( + [0x586184211e1e67d4f1c280878dd156, 0xde92b22d5da44740e70657943af37e, 0x0059db], + ), + F::from_limbs( + [0x65427edee03d972b0e3d7e78722eab, 0xc8c077701fa3ebf8f101b20d9d11d5, 0x001a11], + ), + F::from_limbs( + [0xcda463a8d1c74bd10369bd08096f25, 0xee4c927ff242f2211ffa4190c7122f, 0x0005f6], + ), + F::from_limbs( + [0xefff9f572c94b32efc9641f7f690dc, 0xb906971d8b054118b80dc81110f323, 0x006df6], + ), + F::from_limbs( + [0x064b923b363ae2563bf5faa91ed24b, 0xba6d9970e394849ed4fd6170ed5c48, 0x0061b0], + ), + F::from_limbs( + [0xb75870c4c8211ca9c40a0456e12db6, 0xece5902c99b3ae9b030aa830eaa90b, 0x00123c], + ), + F::from_limbs( + [0xac287e54e95f83e124da9b67220f6a, 0x9a86ccaef3e24ca64c8224be01c20b, 0x005fe6], + ), + F::from_limbs( + [0x117b84ab14fc7b1edb256398ddf097, 0x0ccc5cee8965e6938b85e4e3d64348, 0x001407], + ), + F::from_limbs( + [0xbdc8bec4ca55090a1159e33226fddc, 0x01452a43350e9ccd0a8ad0d9ab6b1b, 0x004ded], + ), + F::from_limbs( + [0xffdb443b3406f5f5eea61bcdd90225, 0xa60dff5a4839966ccd7d38c82c9a37, 0x002600], + ), + F::from_limbs( + [0x5e1c54792bce639cc1766f87d12b83, 0xfc8a65c7f929a997bfdd4f35e3ed22, 0x003339], + ), + F::from_limbs( + [0x5f87ae86d28d9b633e898f782ed47e, 0xaac8c3d5841e89a2182aba6bf41831, 0x0040b3], + ), + F::from_limbs( + [0xa43adf717e6f5462df3334e6f50603, 0x78efac810f398ebea89d164fda7eb5, 0x00194a], + ), + F::from_limbs( + [0x1969238e7fecaa9d20ccca190af9fe, 0x2e637d1c6e0ea47b2f6af351fd869e, 0x005aa3], + ), + F::from_limbs( + [0xc24e588eeaf243b62ac02fe31ee32e, 0x8a30a21a1e10ea55f945e2ab111301, 0x004765], + ), + F::from_limbs( + [0xfb55aa711369bb49d53fcf1ce11cd3, 0x1d2287835f3748e3dec226f6c6f251, 0x002c88], + ), + F::from_limbs( + [0xc6c68d42f47a67560dced4fdd1fa58, 0x7540ddef6d67d1f5d35735e4bd5e3b, 0x002f01], + ), + F::from_limbs( + [0xf6dd75bd09e197a9f2312a022e05a9, 0x32124bae0fe0614404b0d3bd1aa717, 0x0044ec], + ), + F::from_limbs( + [0xca9e3b165ffd945b504b3bb34e64db, 0x5e2e8b0cfbfa61bd24d49a89618b24, 0x0012ad], + ), + F::from_limbs( + [0xf305c7e99e5e6aa4afb4c34cb19b26, 0x49249e90814dd17cb3336f18767a2e, 0x006140], + ), + F::from_limbs( + [0x96f2f1c97a5e1a3a3e804ffc87763e, 0xbb98eb7f7419a70793f2a8652ad8ed, 0x002c07], + ), + F::from_limbs( + [0x26b1113683fde4c5c17faf037889c3, 0xebba3e1e092e8c324415613cad2c66, 0x0047e5], + ), + F::from_limbs( + [0x140327f4c971e021cd8ea769a094a8, 0xaaff762d242c005f3353a3f16a497c, 0x002959], + ), + F::from_limbs( + [0xa9a0db0b34ea1ede327157965f6b59, 0xfc53b370591c32daa4b465b06dbbd7, 0x004a93], + ), + F::from_limbs( + [0x0f71e5bc71e446fdc1747a63ca7ac3, 0x9afc610afa905bd996a93f88b570c4, 0x002c32], + ), + F::from_limbs( + [0xae321d438c77b8023e8b849c35853e, 0x0c56c89282b7d760415eca1922948f, 0x0047bb], + ), + F::from_limbs( + [0xf4cfbb63e2c54e74aa45a97409d198, 0x989b5812a14b95b3455dc1fc4ccd45, 0x00472e], + ), + F::from_limbs( + [0xc8d4479c1b96b08b55ba558bf62e69, 0x0eb7d18adbfc9d8692aa47a58b380d, 0x002cbf], + ), + F::from_limbs( + [0x93cc71925057864dbe0415c94990ca, 0xc088a84a78536f2265c88b14e72ab3, 0x0036e4], + ), + F::from_limbs( + [0x29d7916dae0478b241fbe936b66f37, 0xe6ca815304f4c417723f7e8cf0daa0, 0x003d08], + ), + F::from_limbs( + [0x84298ae8c5a849168f04747c6dd5f6, 0xafa0841de6392d45266b5073cdd55a, 0x002780], + ), + F::from_limbs( + [0x397a781738b3b5e970fb8a83922a0b, 0xf7b2a57f970f05f4b19cb92e0a2ff9, 0x004c6c], + ), + F::from_limbs( + [0x3e0b597663520df89d77764e3c697d, 0x98e3d7cffb2883fe05d75d187fb448, 0x000e2d], + ), + F::from_limbs( + [0x7f98a9899b09f107628888b1c39684, 0x0e6f51cd821faf3bd230ac8958510b, 0x0065c0], + ), + F::from_limbs( + [0x19ce40ca252a482fa108ef1d9fd883, 0xa5be459b5d08fae658577ea875bd85, 0x0053b2], + ), + F::from_limbs( + [0xa3d5c235d931b6d05ef70fe260277e, 0x0194e402203f38537fb08af96247ce, 0x00203b], + ), + F::from_limbs( + [0x8e834b9d101cc30553818f08ec3792, 0x732ccb933eb66f82430836ca2cb22d, 0x002a8a], + ), + F::from_limbs( + [0x2f20b762ee3f3bfaac7e6ff713c86f, 0x34265e0a3e91c3b794ffd2d7ab5326, 0x004963], + ), + F::from_limbs( + [0x578c6d4d68ed7dca98bd685bd2aadb, 0xcf54a97840df560670b0af632fe115, 0x0002a8], + ), + F::from_limbs( + [0x661795b2956e8135674296a42d5526, 0xd7fe80253c68dd3367575a3ea8243e, 0x007144], + ), + F::from_limbs( + [0x34d2b570c678cbc0cb94250c958ba6, 0x1552c8b68e2f38b6e13590d0570de6, 0x0025a8], + ), + F::from_limbs( + [0x88d14d8f37e3333f346bd9f36a745b, 0x920060e6ef18fa82f6d278d180f76d, 0x004e45], + ), + F::from_limbs( + [0x1184a5a8c9d0c61c94431cded59c35, 0x120f1f2bdbbd7a988914f8099e95c1, 0x00607e], + ), + F::from_limbs( + [0xac1f5d57348b38e36bbce2212a63cc, 0x95440a71a18ab8a14ef31198396f92, 0x00136f], + ), + F::from_limbs( + [0xd6fefe5e71e4af3ce5516b5b587650, 0x34b9a353074fe5db498087c0b30bec, 0x002f22], + ), + F::from_limbs( + [0xe6a504a18c774fc31aae93a4a789b1, 0x7299864a75f84d5e8e8781e124f966, 0x0044cb], + ), + F::from_limbs( + [0x7afe2f33b2d29c01e3f791190a25d7, 0x177195db06ee6206cad3f8f8edd20f, 0x000ffe], + ), + F::from_limbs( + [0x42a5d3cc4b8962fe1c086de6f5da2a, 0x8fe193c27659d1330d3410a8ea3344, 0x0063ef], + ), + F::from_limbs( + [0x5406346f9e88c9af3e5868ce1e4fa4, 0xf3250b114352a07bbae29228324286, 0x0037a1], + ), + F::from_limbs( + [0x699dce905fd33550c1a79631e1b05d, 0xb42e1e8c39f592be1d257779a5c2cd, 0x003c4b], + ), + F::from_limbs( + [0x32052ccde9b4a9e6681bf64684319d, 0x21267ce32c4122aea787e30b9f31d8, 0x005561], + ), + F::from_limbs( + [0x8b9ed63214a7551997e408b97bce64, 0x862cacba5107108b3080269638d37b, 0x001e8c], + ), + F::from_limbs( + [0x7297ee3889650ac76cad1646b4761b, 0x3c8ebc9a02da5d2bc85bcb435da336, 0x00018a], + ), + F::from_limbs( + [0x4b0c14c774f6f4389352e8b94b89e6, 0x6ac46d037a6dd60e0fac3e5e7a621d, 0x007263], + ), + F::from_limbs( + [0x254665e6c64ce581eae2c4dce4c189, 0x28fa32bbdcdfe1800790e64116d4ae, 0x006d41], + ), + F::from_limbs( + [0x985d9d19380f197e151d3a231b3e78, 0x7e58f6e1a06851b9d0772360c130a5, 0x0006ac], + ), + F::from_limbs( + [0xf3441dca163541a496c81e00ff1276, 0xbde858c524939b5eade1d86f47824f, 0x00678d], + ), + F::from_limbs( + [0xca5fe535e826bd5b6937e0ff00ed8b, 0xe96ad0d858b497db2a263132908303, 0x000c5f], + ), + F::from_limbs( + [0xe51ebc10b57b63a5e9eab8152b4839, 0xee15d6617551bb90e37cb272360e41, 0x004f8c], + ), + F::from_limbs( + [0xd88546ef48e09b5a161546ead4b7c8, 0xb93d533c07f677a8f48b572fa1f711, 0x002460], + ), + F::from_limbs( + [0x22cebc18e0dfea53811fb238fd2814, 0x90a3cef9da73ce6a4f2099a0af14fb, 0x0021bb], + ), + F::from_limbs( + [0x9ad546e71d7c14ac7ee04cc702d7ed, 0x16af5aa3a2d464cf88e7700128f058, 0x005232], + ), + F::from_limbs( + [0xfa1af59c87e3c79575577ad3edf1cb, 0x27562b6a9a47cd994218dfd57859ef, 0x00061a], + ), + F::from_limbs( + [0xc3890d637678376a8aa8842c120e36, 0x7ffcfe32e30065a095ef29cc5fab63, 0x006dd3], + ), + F::from_limbs( + [0x82dfab906848c79c3c62b3f1e99da1, 0x28bbc7ee1bd43b6c686683ad41bf33, 0x0012d8], + ), + F::from_limbs( + [0x3ac4576f96133763c39d4b0e166260, 0x7e9761af6173f7cd6fa185f4964620, 0x006115], + ), + F::from_limbs( + [0x55abba30f4c41cd573721eba4465da, 0x1de7a6c125e8339bd6dd4c22a7b59c, 0x0014b0], + ), + F::from_limbs( + [0x67f848cf0997e22a8c8de045bb9a27, 0x896b82dc575fff9e012abd7f304fb7, 0x005f3d], + ), + F::from_limbs( + [0x2d52cdfd0b98891cc466c414f63fc0, 0x2c10967cc466405960131e7988212b, 0x00237a], + ), + F::from_limbs( + [0x90513502f2c375e33b993aeb09c041, 0x7b429320b8e1f2e077f4eb284fe428, 0x005073], + ), + F::from_limbs( + [0x1c1e85d06fe60186a9252bd472f5c3, 0xa8ec47f5c95bf245914235998e63d5, 0x003282], + ), + F::from_limbs( + [0xa1857d2f8e75fd7956dad32b8d0a3e, 0xfe66e1a7b3ec40f446c5d40849a17e, 0x00416a], + ), + F::from_limbs( + [0x020c89ecc0849375daa8809864b9c9, 0xcb5137860e4d96b953a9110b8bc722, 0x0047e3], + ), + F::from_limbs( + [0xbb9779133dd76b8a25577e679b4638, 0xdc01f2176efa9c80845ef8964c3e31, 0x002c09], + ), + F::from_limbs( + [0xdc61fcccb02913fc394ee9057469b2, 0x555589c733ab00def2f546ab11bdb3, 0x006841], + ), + F::from_limbs( + [0xe14206334e32eb03c6b115fa8b964f, 0x51fd9fd6499d325ae512c2f6c6479f, 0x000bac], + ), + F::from_limbs( + [0x726e23ee95bde2252d6661602d7435, 0x26d40fbaeeb2b594020b8675359421, 0x0060ae], + ), + F::from_limbs( + [0x4b35df11689e1cdad2999d9fd28bcc, 0x807f19e28e957da5d5fc832ca27132, 0x00133f], + ), + F::from_limbs( + [0x9a0662c6b842dae4bdeee08a005d23, 0x5a11d5a09148a256aa11611dc01ba3, 0x001d34], + ), + F::from_limbs( + [0x239da0394619241b42111e75ffa2de, 0x4d4153fcebff90e32df6a88417e9b0, 0x0056b9], + ), + F::from_limbs( + [0xac53ac97accee001ed731a05753b82, 0x2e90157bd61796b1028e1af5170f0b, 0x000a2c], + ), + F::from_limbs( + [0x11505668518d1efe128ce4fa8ac47f, 0x78c31421a7309c88d579eeacc0f648, 0x0069c1], + ), + F::from_limbs( + [0xb6f5ee2e46bfbbca14e7c13bdd9bf7, 0x1801a4e66be3bb20514a762a99af1c, 0x00441c], + ), + F::from_limbs( + [0x06ae14d1b79c4335eb183dc422640a, 0x8f5184b71164781986bd93773e5637, 0x002fd1], + ), + F::from_limbs( + [0x439ad148d806a7ccdf8183b63ed567, 0x8c89b8e828873394d984953e9c4dc3, 0x0010e4], + ), + F::from_limbs( + [0x7a0931b726555733207e7b49c12a9a, 0x1ac970b554c0ffa4fe8374633bb790, 0x006309], + ), + F::from_limbs( + [0x3e07bd495b317f1e77078e4a922207, 0x5c0d57961afe92b25ed1032a82f445, 0x0041c9], + ), + F::from_limbs( + [0x7f9c45b6a32a7fe188f870b56dddfa, 0x4b45d2076249a0877937067755110e, 0x003224], + ), + F::from_limbs( + [0x3ab0758cbe037ad272322f2e9b1d0f, 0xce3c4a3cd9a490a6c43e4346125662, 0x000ae3], + ), + F::from_limbs( + [0x82f38d734058842d8dcdcfd164e2f2, 0xd916df60a3a3a29313c9c65bc5aef1, 0x006909], + ), + F::from_limbs( + [0x466a99fb5f7bef1e6017af6230182b, 0x7eb0960434809577da230e2c88260c, 0x0003df], + ), + F::from_limbs( + [0x773969049ee00fe19fe84f9dcfe7d6, 0x28a2939948c79dc1fde4fb754fdf47, 0x00700e], + ), + F::from_limbs( + [0x6ed968e5c09240096c2d089156eaed, 0x5fefa464baa254d980d9d59b1f65bd, 0x005bb3], + ), + F::from_limbs( + [0x4eca9a1a3dc9bef693d2f66ea91514, 0x47638538c2a5de60572e3406b89f96, 0x00183a], + ), + F::from_limbs( + [0x999c758ec8080ab8e9e36ceea971b7, 0x146d0722977916eed0bc549904aba0, 0x002254], + ), + F::from_limbs( + [0x24078d713653f447161c9211568e4a, 0x92e6227ae5cf1c4b074bb508d359b3, 0x005199], + ), + F::from_limbs( + [0x4d72814a2d66d08895e916b75c0586, 0x130e3be6e721dff06413633821356e, 0x0023c2], + ), + F::from_limbs( + [0x703181b5d0f52e776a16e848a3fa7b, 0x9444edb69626534973f4a669b6cfe5, 0x00502b], + ), + F::from_limbs( + [0x4f3dcab708c5c68b54a44d5eb5f239, 0xafacdf20a18221d002ebd6d577c87d, 0x004b6e], + ), + F::from_limbs( + [0x6e663848f5963874ab5bb1a14a0dc8, 0xf7a64a7cdbc61169d51c32cc603cd6, 0x00287e], + ), + F::from_limbs( + [0x3cd85a008ad190414dbdcb15d0dac0, 0x18c3495bb2a9b4c1265d710a862f5f, 0x006749], + ), + F::from_limbs( + [0x80cba8ff738a6ebeb24233ea2f2541, 0x8e8fe041ca9e7e78b1aa989751d5f4, 0x000ca4], + ), + F::from_limbs( + [0xfc5bbb5fe6d85bf135c083512c9fe8, 0xfacd0f29438dc279c735326262a715, 0x00443c], + ), + F::from_limbs( + [0xc14847a01783a30eca3f7baed36019, 0xac861a7439ba70c010d2d73f755e3d, 0x002fb0], + ), + F::from_limbs( + [0xddd69a355f5807ccd7ce20289e7057, 0xc73dd7b7381292525534a336790988, 0x0021bd], + ), + F::from_limbs( + [0xdfcd68ca9f03f7332831ded7618faa, 0xe01551e64535a0e782d3666b5efbca, 0x00522f], + ), + F::from_limbs( + [0x2e72025de4a0c712a4159d38ee7edf, 0x93133a3a6b7193b0142074a447361e, 0x00210f], + ), + F::from_limbs( + [0x8f3200a219bb37ed5bea61c7118122, 0x143fef6311d69f89c3e794fd90cf35, 0x0052de], + ), + F::from_limbs( + [0x668bb61eabbf26efe8b7c5f4cdbb8a, 0x8055f6f56ceef2a6ba04234203090d, 0x005169], + ), + F::from_limbs( + [0x57184ce1529cd8101748390b324477, 0x26fd32a8105940931e03e65fd4fc46, 0x002284], + ), + F::from_limbs( + [0x151dff81d368d532dbe75201147c74, 0xf563dca47733442fccebb3b272904a, 0x0015aa], + ), + F::from_limbs( + [0xa886037e2af329cd2418acfeeb838d, 0xb1ef4cf90614ef0a0b1c55ef657509, 0x005e42], + ), + F::from_limbs( + [0x0a8dbfebab4f06748e13419b319c10, 0x1d7727add9dd135d2ad0956ba98d78, 0x00528e], + ), + F::from_limbs( + [0xb3164314530cf88b71ecbd64ce63f1, 0x89dc01efa36b1fdcad3774362e77db, 0x00215f], + ), + F::from_limbs( + [0x9f0e6768335b1d2b9a21f44b8839df, 0xcffa24a5ed86e22b586a2e37e5b16a, 0x0039b5], + ), + F::from_limbs( + [0x1e959b97cb00e1d465de0ab477c622, 0xd75904f78fc1510e7f9ddb69f253e9, 0x003a37], + ), + F::from_limbs( + [0xe12f618a02f52636e22842492675f1, 0x1578dddc06904031a5b1f1d0e35a2d, 0x00465a], + ), + F::from_limbs( + [0xdc74a175fb66d8c91dd7bcb6d98a10, 0x91da4bc176b7f308325617d0f4ab25, 0x002d93], + ), + F::from_limbs( + [0xfc7593aacae8f0048c998c718b18fa, 0xb132aace436810593938764cd2873c, 0x005e9f], + ), + F::from_limbs( + [0xc12e6f5533730efb7366728e74e707, 0xf6207ecf39e022e09ecf9355057e16, 0x00154d], + ), + F::from_limbs( + [0x855c98f03e4ec9bbc878488ea71ba8, 0x4f4d80e421236231f3707b9d46a099, 0x005765], + ), + F::from_limbs( + [0x38476a0fc00d35443787b67158e459, 0x5805a8b95c24d107e4978e049164ba, 0x001c88], + ), + F::from_limbs( + [0xa9e6457cbef76d1fccde66fc588d7d, 0x6964e2c2128178dec9a67d6bf69ab1, 0x004c6b], + ), + F::from_limbs( + [0x13bdbd833f6491e033219803a77284, 0x3dee46db6ac6ba5b0e618c35e16aa2, 0x002782], + ), + F::from_limbs( + [0x0ab900fdd04ba0c27a1a12d0f2c7b4, 0x958f86d2b38d13cebad18da8de97be, 0x004fe1], + ), + F::from_limbs( + [0xb2eb02022e105e3d85e5ec2f0d384d, 0x11c3a2cac9bb1f6b1d367bf8f96d95, 0x00240c], + ), + F::from_limbs( + [0xfec709676525a283ae887be3b065d2, 0x31dc646483ada7ec9b7504f5c08d9a, 0x004ea3], + ), + F::from_limbs( + [0xbedcf99899365c7c5177831c4f9a2f, 0x7576c538f99a8b4d3c9304ac1777b8, 0x00254a], + ), + F::from_limbs( + [0x6236400ce1a035463b81e35706dc93, 0x794174efafe9bbb1da00479695453e, 0x0008ab], + ), + F::from_limbs( + [0x5b6dc2f31cbbc9b9c47e1ba8f9236e, 0x2e11b4adcd5e7787fe07c20b42c015, 0x006b42], + ), + F::from_limbs( + [0xac3ff58faca4e3edadb1101621f8bf, 0x844c97b849b37e115e7879e5fe85de, 0x003d52], + ), + F::from_limbs( + [0x11640d7051b71b12524eeee9de0742, 0x230691e53394b528798f8fbbd97f75, 0x00369b], + ), + F::from_limbs( + [0x7c85bcff563e231e8623e352e51c35, 0xcdffedfad78d5fe87ca61ae9abc08f, 0x002b43], + ), + F::from_limbs( + [0x411e4600a81ddbe179dc1bad1ae3cc, 0xd9533ba2a5bad3515b61eeb82c44c4, 0x0048a9], + ), + F::from_limbs( + [0xa804027c23b9f95376802e91e05be8, 0xe9c4cef6cbefe6c9741d8956584aee, 0x001cdb], + ), + F::from_limbs( + [0x15a00083daa205ac897fd06e1fa419, 0xbd8e5aa6b1584c7063ea804b7fba65, 0x005711], + ), + F::from_limbs( + [0x0e0cd54bd4aa61826d2d37f94a447f, 0x63512d6507eff7e74e36ebb406ab4a, 0x0065c6], + ), + F::from_limbs( + [0xaf972db429b19d7d92d2c706b5bb82, 0x4401fc3875583b5289d11dedd15a09, 0x000e27], + ), + F::from_limbs( + [0x1d8f59d2e0d8f517d1f555defa4965, 0xce0a6cf41e04d1f37da3193dc2f7e1, 0x000e39], + ), + F::from_limbs( + [0xa014a92d1d8309e82e0aa92105b69c, 0xd948bca95f4361465a64f064150d72, 0x0065b3], + ), + F::from_limbs( + [0xe9debb01a73a7d2d2fd8f2b8879fa4, 0x9ddf450c9503f6d1e86fff13f87f5a, 0x0010af], + ), + F::from_limbs( + [0xd3c547fe572181d2d0270c4778605d, 0x0973e490e8443c67ef980a8ddf85f8, 0x00633e], + ), + F::from_limbs( + [0x82a869b076061adec6750f6279f487, 0xe06fd1d55ed610877582a2642dfdc9, 0x0052c8], + ), + F::from_limbs( + [0x3afb994f8855e421398aef9d860b7a, 0xc6e357c81e7222b26285673daa078a, 0x002124], + ), + F::from_limbs( + [0xcd0477f8b300e2e8072dcdffa22a4b, 0x0427dc1ed46b959d6213b9fb9ca34b, 0x006cfb], + ), + F::from_limbs( + [0xf09f8b074b5b1c17f8d231005dd5b6, 0xa32b4d7ea8dc9d9c75f44fa63b6207, 0x0006f2], + ), + F::from_limbs( + [0x6e9b05922fb4ca4db6496c5f476610, 0x7f60ea83e3914376d6422502433719, 0x004ee5], + ), + F::from_limbs( + [0x4f08fd6dcea734b249b692a0b899f1, 0x27f23f1999b6efc301c5e49f94ce3a, 0x002508], + ), + F::from_limbs( + [0xa62fc0089b634dbf2aac25d7d75fee, 0xdb944f0c588276cb7f8865b7d9ba3e, 0x0035ed], + ), + F::from_limbs( + [0x177442f762f8b140d553d92828a013, 0xcbbeda9124c5bc6e587fa3e9fe4b15, 0x003dff], + ), + F::from_limbs( + [0x98290aa8b6ad53f2043aa3f401dfdc, 0x09673fc03acedd09ac836e1ca7736a, 0x0053e1], + ), + F::from_limbs( + [0x257af85747aeab0dfbc55b0bfe2025, 0x9debe9dd427956302b849b853091e9, 0x00200c], + ), + F::from_limbs( + [0x647448c7b0afb7ec1c61775ab7abdd, 0x889ebec7d61b637217c82c971d9e4f, 0x005239], + ), + F::from_limbs( + [0x592fba384dac4713e39e87a5485424, 0x1eb46ad5a72ccfc7c03fdd0aba6704, 0x0021b4], + ), + F::from_limbs( + [0xfdccab18b6ef1df95145ce9d220f41, 0xae5fde2b4f5827052bda8626455524, 0x0033b2], + ), + F::from_limbs( + [0xbfd757e7476ce106aeba3062ddf0c0, 0xf8f34b722df00c34ac2d837b92b02e, 0x00403a], + ), + F::from_limbs( + [0x48364c6d02ded0006ae02ab74add69, 0x07e0704b0c97aead5c4e44e64375c3, 0x000c8d], + ), + F::from_limbs( + [0x756db692fb7d2eff951fd448b52298, 0x9f72b95270b0848c7bb9c4bb948f90, 0x006760], + ), + F::from_limbs( + [0x0fa82de7378c5647041bcb6bd46fcc, 0x5e373ec8ee1bbc8c8f5360d1f7b0e5, 0x00450a], + ), + F::from_limbs( + [0xadfbd518c6cfa8b8fbe433942b9035, 0x491bead48f2c76ad48b4a8cfe0546e, 0x002ee3], + ), + F::from_limbs( + [0xd7924989f5052ba483ec3b98206641, 0xa817449255ff6eb0398da5372b4151, 0x0008d0], + ), + F::from_limbs( + [0xe611b9760956d35b7c13c367df99c0, 0xff3be50b2748c4899e7a646aacc401, 0x006b1c], + ), + F::from_limbs( + [0xcaad5df72cd49bbe86414d32e186de, 0xdad728f81f15d7ed9ff23c94d4b3e1, 0x00493c], + ), + F::from_limbs( + [0xf2f6a508d187634179beb1cd1e7923, 0xcc7c00a55e325b4c3815cd0d035171, 0x002ab0], + ), + F::from_limbs( + [0x1247f31227b7d49e32a2c19d55f8d3, 0xded3eebc215ddeea461ee0cd7d94d6, 0x001f0e], + ), + F::from_limbs( + [0xab5c0fedd6a42a61cd5d3d62aa072e, 0xc87f3ae15bea544f91e928d45a707d, 0x0054de], + ), + F::from_limbs( + [0xdc89075d67ed7e317050f884ca576b, 0x281b92bda8a01a3a778c086ff4e1ad, 0x0001ed], + ), + F::from_limbs( + [0xe11afba2966e80ce8faf067b35a896, 0x7f3796dfd4a818ff607c0131e323a5, 0x007200], + ), + F::from_limbs( + [0xcdb87cb712877e0bf60e7c63c2437b, 0x4efb2363ab2f1ff78cb0023480e8f9, 0x001a6f], + ), + F::from_limbs( + [0xefeb8648ebd480f409f1829c3dbc86, 0x58580639d21913424b58076d571c59, 0x00597e], + ), + F::from_limbs( + [0xd45c8361c9f7297117194176b34fcd, 0xabbd11933f13d0bd028d2df1d8d2ea, 0x00657c], + ), + F::from_limbs( + [0xe9477f9e3464d58ee8e6bd894cb034, 0xfb96180a3e34627cd57adbafff3268, 0x000e70], + ), + F::from_limbs( + [0xf77a7bafa8af3673a70628281b1030, 0x37b660a6007a671cd104321d3da423, 0x00523d], + ), + F::from_limbs( + [0xc629875055acc88c58f9d6d7e4efd1, 0x6f9cc8f77ccdcc1d0703d7849a612f, 0x0021b0], + ), + F::from_limbs( + [0xa5adf88739a7bd9d7f8fd7d5e17d4c, 0xa451b990fd38ff18af03ba072d922e, 0x0030ed], + ), + F::from_limbs( + [0x17f60a78c4b441628070272a1e82b5, 0x0301700c800f342129044f9aaa7325, 0x004300], + ), + F::from_limbs( + [0xd55f49d6b5a1fa4a715cef814e4239, 0x8cd22f924921ab164cf3cbcd563e6d, 0x005b3b], + ), + F::from_limbs( + [0xe844b92948ba04b58ea30f7eb1bdc8, 0x1a80fa0b342688238b143dd481c6e5, 0x0018b2], + ), + F::from_limbs( + [0xaa756712f2bc015611aad4215f6c1d, 0x446d71965b3a8e20c5aa738a332574, 0x001a1a], + ), + F::from_limbs( + [0x132e9bed0b9ffda9ee552adea093e4, 0x62e5b807220da519125d9617a4dfdf, 0x0059d3], + ), + F::from_limbs( + [0xdf1a3727fd721d20a3252151ac98a0, 0x0d63de7126601d7386b1d14b886090, 0x001c40], + ), + F::from_limbs( + [0xde89cbd800e9e1df5cdaddae536761, 0x99ef4b2c56e815c6515638564fa4c2, 0x0057ad], + ), + F::from_limbs( + [0xfb22b17b1b8fce193fef7af0333d31, 0x8d54f1ac8eda45244257bc7eed74d0, 0x001373], + ), + F::from_limbs( + [0xc2815184e2cc30e6c010840fccc2d0, 0x19fe37f0ee6dee1595b04d22ea9082, 0x00607a], + ), + F::from_limbs( + [0xd94eb86ff1ed3c7833cda901f237d1, 0x6cac58e7d4d227ece7306d1ad0f73b, 0x003446], + ), + F::from_limbs( + [0xe4554a900c6ec287cc3255fe0dc830, 0x3aa6d0b5a8760b4cf0d79c87070e17, 0x003fa7], + ), + F::from_limbs( + [0x0a0b6dc3344e9740aa98279de1d272, 0x396f0bbba2006c10dffbc6e2ccfd1f, 0x0043ce], + ), + F::from_limbs( + [0xb398953cca0d67bf5567d7621e2d8f, 0x6de41de1db47c728f80c42bf0b0834, 0x00301f], + ), + F::from_limbs( + [0x2774aacbd8e5410e990b7ea6099539, 0x0ff19575c66a5d823a24eadcf44034, 0x00013a], + ), + F::from_limbs( + [0x962f58342576bdf166f48059f66ac8, 0x97619427b6ddd5b79de31ec4e3c51f, 0x0072b3], + ), + F::from_limbs( + [0x98cfc228cdac64c0f4b12f26fbee10, 0x608230bf89f522f30a822df80cebab, 0x006bbe], + ), + F::from_limbs( + [0x24d440d730af9a3f0b4ecfd90411f1, 0x46d0f8ddf3531046cd85dba9cb19a8, 0x00082f], + ), + F::from_limbs( + [0xfcae5ba09e0c9e7936dad504dd20d8, 0xd14ad990c5d94abc61794fedbb7b37, 0x0004fd], + ), + F::from_limbs( + [0xc0f5a75f604f6086c92529fb22df29, 0xd608500cb76ee87d768eb9b41c8a1b, 0x006eef], + ), + F::from_limbs( + [0x2dd2cd0d439bf99df86a7b583e6a7a, 0x334ff56b12c0fe4d544102494ce813, 0x000313], + ), + F::from_limbs( + [0x8fd135f2bac00562079583a7c19587, 0x740334326a8734ec83c707588b1d40, 0x0070da], + ), + F::from_limbs( + [0x012acc92ab4930bd516cd62ba82664, 0xc77d512a5bc54b53c2020e1531be45, 0x0008b1], + ), + F::from_limbs( + [0xbc79366d5312ce42ae9328d457d99d, 0xdfd5d8732182e7e61605fb8ca6470e, 0x006b3b], + ), + F::from_limbs( + [0xa0896f1080c1eee49d3bc9f665878a, 0x46f8c3bf1cc0a4b9f13d221641f726, 0x0029aa], + ), + F::from_limbs( + [0x1d1a93ef7d9a101b62c435099a7877, 0x605a65de60878e7fe6cae78b960e2d, 0x004a43], + ), + F::from_limbs( + [0x53929cdf5d53f68046a0338d19eb21, 0x4ecf71c935ff0ddb58cba88e385eb4, 0x00701c], + ), + F::from_limbs( + [0x6a116620a108087fb95fcb72e614e0, 0x5883b7d44749255e7f3c61139fa69f, 0x0003d1], + ), + F::from_limbs( + [0x4d116daf42538b08c8845e74a76e3c, 0x3df169bd66227d167a1aa89fd1bf92, 0x006073], + ), + F::from_limbs( + [0x70929550bc0873f7377ba08b5891c5, 0x6961bfe01725b6235ded61020645c1, 0x00137a], + ), + F::from_limbs( + [0x7ec84bcbd1676791088fac0c4f9032, 0x2f32a44ea3b5e5353491392eb969f1, 0x004928], + ), + F::from_limbs( + [0x3edbb7342cf4976ef77052f3b06fcf, 0x7820854ed9924e04a376d0731e9b62, 0x002ac5], + ), + F::from_limbs( + [0x9fefa0239bcb3e8a28db7c68591369, 0xab965ee2dd62dc7f696be9aa0ec978, 0x0028e0], + ), + F::from_limbs( + [0x1db462dc6290c075d7248297a6ec98, 0xfbbccaba9fe556ba6e9c1ff7c93bdb, 0x004b0c], + ), + F::from_limbs( + [0xb1df0d7f11055f353f8e344469d5db, 0xee2957ec3250ae111cfbdc4970ab0d, 0x006a85], + ), + F::from_limbs( + [0x0bc4f580ed569fcac071cabb962a26, 0xb929d1b14af78528bb0c2d58675a46, 0x000967], + ), + F::from_limbs( + [0xcaf14f19ed7d03a0f0d6fddf65ab78, 0x1d09b8983f31effc399a99a0f0774b, 0x001ce3], + ), + F::from_limbs( + [0xf2b2b3e610defb5f0f2901209a5489, 0x8a4971053e16433d9e6d7000e78e07, 0x00570a], + ), + F::from_limbs( + [0x0eb926614be1a588cdfcb063137ed0, 0xde7ab1959c4bc6a2ed06d37f167a03, 0x00407f], + ), + F::from_limbs( + [0xaeeadc9eb27a597732034e9cec8131, 0xc8d87807e0fc6c96eb013622c18b50, 0x00336d], + ), + F::from_limbs( + [0x7ea24c2e5ec8f8aa638667dde3590d, 0x5373bf1e91d9fef178082e44ecc0c7, 0x002ce4], + ), + F::from_limbs( + [0x3f01b6d19f9306559c7997221ca6f4, 0x53df6a7eeb6e34485fffdb5ceb448c, 0x004709], + ), + F::from_limbs( + [0x908be130f926723ad61f87d207308f, 0xd1772f77e6a8eea341e88434f19304, 0x004a4c], + ), + F::from_limbs( + [0x2d1821cf05358cc529e0772df8cf72, 0xd5dbfa25969f4496961f856ce6724f, 0x0029a0], + ), + F::from_limbs( + [0xe8222d4428fff63a9a7c5389c73e8f, 0x6f9d1eeb0abdf3bac4d64a36538a64, 0x007363], + ), + F::from_limbs( + [0xd581d5bbd55c08c56583ab7638c172, 0x37b60ab2728a3f7f1331bf6b847aee, 0x00008a], + ), + F::from_limbs( + [0x931b5f8b6cbdcc7974730b5c3ba924, 0x64469d1accc8fc62eef966d0253b7f, 0x003675], + ), + F::from_limbs( + [0x2a88a374919e32868b8cf3a3c456dd, 0x430c8c82b07f36d6e90ea2d1b2c9d4, 0x003d78], + ), + F::from_limbs( + [0x67e34e22abef508c9d7369401c9ce9, 0x6cd186a4d1bf23bfab53572bc8e62a, 0x007179], + ), + F::from_limbs( + [0x55c0b4dd526cae73628c95bfe36318, 0x3a81a2f8ab890f7a2cb4b2760f1f29, 0x000274], + ), + F::from_limbs( + [0x523efd9a4034293bcb639a86de8161, 0x70e5bd7314ec89710171d3095acded, 0x002dc3], + ), + F::from_limbs( + [0x6b650565be27d5c4349c6479217ea0, 0x366d6c2a685ba9c8d69636987d3766, 0x00462a], + ), + F::from_limbs( + [0xdc86cb3ee5aeda0dc44788191c6694, 0x85025f6fc6b635ee1289a4af9cc708, 0x000a03], + ), + F::from_limbs( + [0xe11d37c118ad24f23bb876e6e3996d, 0x2250ca2db691fd4bc57e64f23b3e4a, 0x0069ea], + ), + F::from_limbs( + [0xfb20b8ec99d14e44d969247a3b9ea0, 0x8d984cf2bbe3e84864fbbaf6ca1a19, 0x003a17], + ), + F::from_limbs( + [0xc2834a13648ab0bb2696da85c46161, 0x19badcaac1644af1730c4eab0deb39, 0x0039d6], + ), + F::from_limbs( + [0x3e4ce9b0b4d29e8ddb46c387d94289, 0x9c0f10c48a5ee2c04f5308e4117c29, 0x006e01], + ), + F::from_limbs( + [0x7f57194f4989607224b93b7826bd78, 0x0b4418d8f2e9507988b500bdc6892a, 0x0005ec], + ), + F::from_limbs( + [0x0843767d0372343f1f18f7ffc6877b, 0x6f733cc9941e4d1f292459f8fcb93b, 0x000f19], + ), + F::from_limbs( + [0xb5608c82fae9cac0e0e70700397886, 0x37dfecd3e929e61aaee3afa8db4c18, 0x0064d4], + ), + F::from_limbs( + [0x88b0025d0d21897a73822ebdcd10f4, 0xad7c3cd1771ded6b0d595d2df89be8, 0x00255b], + ), + F::from_limbs( + [0x34f400a2f13a75858c7dd04232ef0d, 0xf9d6eccc062a45cecaaeac73df696b, 0x004e91], + ), + F::from_limbs( + [0x33a0cc91de22b00210a61427617e32, 0xf107893997a09e1935feb8328692f2, 0x003e5f], + ), + F::from_limbs( + [0x8a03366e20394efdef59ead89e81cf, 0xb64ba063e5a79520a209516f517261, 0x00358d], + ), + F::from_limbs( + [0xaba4806747cbbb3ed3c6695778c414, 0x6b7fc7d64506fd4c8ab2f0d9a0c2ef, 0x001fd5], + ), + F::from_limbs( + [0x11ff8298b69043c12c3995a8873bed, 0x3bd361c7384135ed4d5518c8374264, 0x005418], + ), + F::from_limbs( + [0x9793cdc553268fdb8c8c9df25f113f, 0xc8b8a6bed3ce2e4295f13884893e82, 0x00569a], + ), + F::from_limbs( + [0x2610353aab356f247373610da0eec2, 0xde9a82dea97a04f74216d11d4ec6d1, 0x001d52], + ), + F::from_limbs( + [0x48c725f84f95c141afaf92fc44c150, 0x2ec90d8645b8541c402b6099de87a6, 0x006430], + ), + F::from_limbs( + [0x74dcdd07aec63dbe50506c03bb3eb1, 0x788a1c17378fdf1d97dca907f97dad, 0x000fbd], + ), + F::from_limbs( + [0x3d298b3fdcee949d23158904db414e, 0x5b2f0cdcb97b5ef4890c09efc1b9e8, 0x002c4a], + ), + F::from_limbs( + [0x807a77c0216d6a62dcea75fb24beb3, 0x4c241cc0c3ccd4454efbffb2164b6b, 0x0047a3], + ), + F::from_limbs( + [0x54bc8d5e005d10a64eed6a5818a4bf, 0x165bdc32edd97d8cc8889c8a298881, 0x005ab7], + ), + F::from_limbs( + [0x68e775a1fdfeee59b11294a7e75b42, 0x90f74d6a8f6eb5ad0f7f6d17ae7cd2, 0x001936], + ), + F::from_limbs( + [0x5d543983bbd49126324200928abe0a, 0x82d48a57fa1bf0d2b13a179c103085, 0x005e68], + ), + F::from_limbs( + [0x604fc97c42876dd9cdbdfe6d7541f7, 0x247e9f45832c426726cdf205c7d4ce, 0x001585], + ), + F::from_limbs( + [0x4959e25753f8727e4cddf5bbcf9e2e, 0x0e9ae069d4854261fc6d52cd9f472f, 0x001c9a], + ), + F::from_limbs( + [0x744a20a8aa638c81b32209443061d3, 0x98b84933a8c2f0d7db9ab6d438be24, 0x005753], + ), + F::from_limbs( + [0xfb52a4a4084049b64635a1fca37cd4, 0x97060617002b139d9e55125fd6a0da, 0x0006a1], + ), + F::from_limbs( + [0xc2515e5bf61bb549b9ca5d035c832d, 0x104d23867d1d1f9c39b2f742016478, 0x006d4c], + ), + F::from_limbs( + [0x46b757d37646ad5f6ed9d54ebc7dfd, 0x115e1973082b57191cb038744d3fda, 0x0059ad], + ), + F::from_limbs( + [0x76ecab2c881551a0912629b1438204, 0x95f5102a751cdc20bb57d12d8ac579, 0x001a40], + ), + F::from_limbs( + [0x3a3fdb27ce4620c9037884585beeed, 0x7ba852c1b35fd6ee452a97c16ac388, 0x004c29], + ), + F::from_limbs( + [0x836427d83015de36fc877aa7a41114, 0x2baad6dbc9e85c4b92dd71e06d41cb, 0x0027c4], + ), + F::from_limbs( + [0x5007e38c90bf5a1406a9e74470eb1c, 0x2d7256bac7644923c535f42197488e, 0x0059a7], + ), + F::from_limbs( + [0x6d9c1f736d9ca4ebf95617bb8f14e5, 0x79e0d2e2b5e3ea1612d2158040bcc5, 0x001a46], + ), + F::from_limbs( + [0x58596cd9180f6351eeda0bf1f9d15c, 0xdbac48ffd83b5b50fba542ee045f2d, 0x000cc1], + ), + F::from_limbs( + [0x654a9626e64c9bae1125f30e062ea5, 0xcba6e09da50cd7e8dc62c6b3d3a626, 0x00672b], + ), + F::from_limbs( + [0xda385259825e8ff7de74762844b59b, 0x8d1d32ee41ea7fa57c0bb07ba2861e, 0x004a07], + ), + F::from_limbs( + [0xe36bb0a67bfd6f08218b88d7bb4a66, 0x1a35f6af3b5db3945bfc5926357f34, 0x0029e6], + ), + F::from_limbs( + [0x663b19281ecf204a13c9090a5de344, 0x6cb1b8029d0f4ea7520a9e1f45fed2, 0x000264], + ), + F::from_limbs( + [0x5768e9d7df8cdeb5ec36f5f5a21cbd, 0x3aa1719ae038e49285fd6b82920681, 0x007189], + ), + F::from_limbs( + [0x424c5b7c97a6d27d1881b7fb2a11e6, 0x8b263946eb224cb0fea682711f56cf, 0x000526], + ), + F::from_limbs( + [0x7b57a78366b52c82e77e4704d5ee1b, 0x1c2cf0569225e688d9618730b8ae84, 0x006ec7], + ), + F::from_limbs( + [0xbf61c5f3d0832796c52d21fbc61f0f, 0xb379c9183ffc813bcf1073aceca325, 0x000ef4], + ), + F::from_limbs( + [0xfe423d0c2dd8d7693ad2dd0439e0f2, 0xf3d960853d4bb1fe08f795f4eb622d, 0x0064f8], + ), + F::from_limbs( + [0xe3a6cd55d29c43736afc498dd8c1d1, 0xa19828da9aab0564b5a8d1072ba42b, 0x00445e], + ), + F::from_limbs( + [0xd9fd35aa2bbfbb8c9503b572273e30, 0x05bb00c2e29d2dd5225f389aac6127, 0x002f8f], + ), + F::from_limbs( + [0xead8a0448ecebabcdf1235752b0ef3, 0xe8ee9237909732d4a06d7aa57eb71b, 0x006bcb], + ), + F::from_limbs( + [0xd2cb62bb6f8d444320edc98ad4f10e, 0xbe649765ecb10065379a8efc594e37, 0x000821], + ), + F::from_limbs( + [0x4119ad873614884d66efb4fed2279a, 0xd9900b7ae25a95dfadf106e3f002de, 0x005ae6], + ), + F::from_limbs( + [0x7c8a5578c84776b299104a012dd867, 0xcdc31e229aed9d5a2a1702bde80275, 0x001906], + ), + F::from_limbs( + [0xb4f7967f7e42a5fda4841718420054, 0x2f3fb51cf0a715d27b6251fc311c17, 0x0062fb], + ), + F::from_limbs( + [0x08ac6c80801959025b7be7e7bdffad, 0x781374808ca11d675ca5b7a5a6e93c, 0x0010f2], + ), + F::from_limbs( + [0x180e0e8b24f12309f239f760b82267, 0xba636d174692ad5a534045625d9514, 0x0058c3], + ), + F::from_limbs( + [0xa595f474d96adbf60dc6079f47dd9a, 0xecefbc8636b585df84c7c43f7a703f, 0x001b29], + ), + F::from_limbs( + [0xc7e8901137ff0153a93b55b4fea0eb, 0xc4a69476d9fc4bb6f34c1c58a0568e, 0x000e7c], + ), + F::from_limbs( + [0xf5bb72eec65cfdac56c4a94b015f16, 0xe2ac9526a34be782e4bbed4937aec4, 0x006570], + ), + F::from_limbs( + [0x72a5c3f51c283524eb6f79660ba729, 0x4cc8ec848f9932f96660e46b8b0362, 0x00548e], + ), + F::from_limbs( + [0x4afe3f0ae233c9db14908599f458d8, 0x5a8a3d18edaf004071a725364d01f1, 0x001f5f], + ), + F::from_limbs( + [0xb69e5da3889e1b2613fb0ba0d0c8b9, 0x48f2bdc1f969a35750fccdbd565adc, 0x0045f4], + ), + F::from_limbs( + [0x0705a55c75bde3d9ec04f35f2f3748, 0x5e606bdb83de8fe2870b3be481aa77, 0x002df9], + ), + F::from_limbs( + [0xeeae11e7bccf3f082cf84eeb77b539, 0xd3cae75d7dcbb02266098876489699, 0x006a92], + ), + F::from_limbs( + [0xcef5f118418cbff7d307b014884ac8, 0xd388423fff7c831771fe812b8f6eb9, 0x00095a], + ), + F::from_limbs( + [0x9edcfa443aea1905a885cb88412fc6, 0x71fcb801d5d5172aa6aa52827f4c0e, 0x00140c], + ), + F::from_limbs( + [0x1ec708bbc371e5fa577a3377bed03b, 0x3556719ba7731c0f315db71f58b945, 0x005fe1], + ), + F::from_limbs( + [0x2c95af5bc18faa930fa010bc171746, 0x7dc1d3176b166ae305e12c0d0f3845, 0x003659], + ), + F::from_limbs( + [0x910e53a43ccc546cf05fee43e8e8bb, 0x299156861231c856d226dd94c8cd0e, 0x003d94], + ), + F::from_limbs( + [0x85a508df2452feef976635fc779c0c, 0x54744d4336448dd7a2cb1fe4cabc60, 0x00509e], + ), + F::from_limbs( + [0x37fefa20da0900106899c9038863f5, 0x52dedc5a4703a562353ce9bd0d48f3, 0x00234f], + ), + F::from_limbs( + [0x2a457ac1b1515e66caf0bfe0dc71bd, 0xde54f97535615e9a245b3b982d893b, 0x007033], + ), + F::from_limbs( + [0x935e883e4d0aa099350f3f1f238e44, 0xc8fe302847e6d49fb3acce09aa7c18, 0x0003b9], + ), + F::from_limbs( + [0xe681ffa04fd14425cd201433440674, 0xde62396f17618541eba544010dc6e2, 0x0031d2], + ), + F::from_limbs( + [0xd722035fae8abada32dfeaccbbf98d, 0xc8f0f02e65e6adf7ec62c5a0ca3e70, 0x00421a], + ), + F::from_limbs( + [0x52dc972de8dd1ae0ef5504d0804371, 0xd7d00aa6d47ea06254fd521a05e75b, 0x0063c3], + ), + F::from_limbs( + [0x6ac76bd2157ee41f10aafa2f7fbc90, 0xcf831ef6a8c992d7830ab787d21df8, 0x001029], + ), + F::from_limbs( + [0x4804de0259a52492093ce6634374ea, 0x74a1cf96403463f289036f16b94858, 0x002037], + ), + F::from_limbs( + [0x759f24fda4b6da6df6c3189cbc8b17, 0x32b15a073d13cf474f049a8b1ebcfb, 0x0053b6], + ), + F::from_limbs( + [0x0b4a6523f47a1ff8e0b04c3b1af356, 0x83b623d916a3ad6c4c7ac3494271a8, 0x005a8d], + ), + F::from_limbs( + [0xb2599ddc09e1df071f4fb2c4e50cab, 0x239d05c466a485cd8b8d46589593ab, 0x001960], + ), + F::from_limbs( + [0x3acd5edbf5700358a7bfe4303c5b1e, 0xb52b913e7460fc8fc271fb692c97c4, 0x0021a2], + ), + F::from_limbs( + [0x82d6a42408ebfba758401acfc3a4e3, 0xf227985f08e736aa15960e38ab6d8f, 0x00524a], + ), + F::from_limbs( + [0x751f4f8dda18c726694b3c0708989b, 0x74e808084266d6dc71af08a18e5f03, 0x000d2f], + ), + F::from_limbs( + [0x4884b372244337d996b4c2f8f76766, 0x326b21953ae15c5d6659010049a650, 0x0066be], + ), + F::from_limbs( + [0x4d9b4898d2ec0030ad1815af2831cb, 0xb9b40807616a9227838f3a3ed300cf, 0x003d4c], + ), + F::from_limbs( + [0x7008ba672b6ffecf52e7e950d7ce36, 0xed9f21961bdda1125478cf63050484, 0x0036a0], + ), + F::from_limbs( + [0x5661caa9b88f7bc99c409c32cbe93c, 0x81febdfe94276a8aad8807a5d7050b, 0x006767], + ), + F::from_limbs( + [0x6742385645cc833663bf62cd3416c5, 0x25546b9ee920c8af2a8001fc010048, 0x000c86], + ), + F::from_limbs( + [0xe1b8db4b0c6ea3ab3dcd74abc0acc5, 0x518f26f7d15431ab14182ee5361144, 0x003309], + ), + F::from_limbs( + [0xdbeb27b4f1ed5b54c2328a543f533c, 0x55c402a5abf4018ec3efdabca1f40e, 0x0040e4], + ), + F::from_limbs( + [0xef2afdb60852031c3f34a887d3c3e1, 0xcb3506e60a81f0394c93a42b5b72e9, 0x00064c], + ), + F::from_limbs( + [0xce790549f609fbe3c0cb56782c3c20, 0xdc1e22b772c643008b7465767c9269, 0x006da0], + ), + F::from_limbs( + [0x8cdb76a42676ccb187cd4b5130698f, 0x41db3bd37280e077b68e7eab756cb8, 0x006959], + ), + F::from_limbs( + [0x30c88c5bd7e5324e7832b3aecf9672, 0x6577edca0ac752c221798af662989b, 0x000a94], + ), + F::from_limbs( + [0xb80be01829aa6e6b4e1dd7a6e41adf, 0x6de1daf8905fb9f70b105865f3b1cf, 0x004c84], + ), + F::from_limbs( + [0x059822e7d4b19094b1e227591be522, 0x39714ea4ece87942ccf7b13be45384, 0x002769], + ), + F::from_limbs( + [0xcad3633089749adf4e63d01af609aa, 0x0be46010a6b28fce2e90dce28a6db3, 0x003d3e], + ), + F::from_limbs( + [0xf2d09fcf74e76420b19c2ee509f657, 0x9b6ec98cd695a36ba9772cbf4d979f, 0x0036af], + ), + F::from_limbs( + [0x3fe56d15f19fd9d3a88f9769d85682, 0xa2628ede060eab8f2d5800a8be3b0f, 0x006281], + ), + F::from_limbs( + [0x7dbe95ea0cbc252c5770679627a97f, 0x04f09abf773987aaaab008f919ca44, 0x00116c], + ), + F::from_limbs( + [0x33b77d2d66205cd6436789acd58a6a, 0x0e51924a73f486c6d515c6dbbd56d8, 0x00661d], + ), + F::from_limbs( + [0x89ec85d2983ba229bc9875532a7597, 0x990197530953ac7302f242c61aae7b, 0x000dd0], + ), + F::from_limbs( + [0xbbd52b782f347dae0408970b4aab1a, 0x678caa916b48f296454a57be9a3dd2, 0x000554], + ), + F::from_limbs( + [0x01ced787cf278151fbf767f4b554e7, 0x3fc67f0c11ff40a392bdb1e33dc781, 0x006e99], + ), + F::from_limbs( + [0x7fe07d8d824b70a6b05f18a33c32b1, 0x4018a4fba9970315f7d6239cfdfbbe, 0x004ea9], + ), + F::from_limbs( + [0x3dc385727c108e594fa0e65cc3cd50, 0x673a84a1d3b13023e031e604da0995, 0x002544], + ), + F::from_limbs( + [0x50bf4dbafd02920d87e416425a1f5b, 0x43b8831183496fc9fedba1ca177ecf, 0x004c47], + ), + F::from_limbs( + [0x6ce4b54501596cf2781be8bda5e0a6, 0x639aa68bf9fec36fd92c67d7c08684, 0x0027a6], + ), + F::from_limbs( + [0x9c92782418d9a6f68d125f81344d2e, 0x3ae417d106a4752a779731a01e141a, 0x0005a4], + ), + F::from_limbs( + [0x21118adbe582580972ed9f7ecbb2d3, 0x6c6f11cc76a3be0f6070d801b9f139, 0x006e49], + ), + F::from_limbs( + [0xa9568098dc13297c139a093efa1190, 0x1f8538db87179f115b32fd34f9e257, 0x0044e7], + ), + F::from_limbs( + [0x144d82672248d583ec65f5c105ee71, 0x87cdf0c1f63094287cd50c6cde22fc, 0x002f06], + ), + F::from_limbs( + [0xdb59a295eea1fad891f7ce48c338da, 0x0bc19af45832cd3e67ec475459da28, 0x001a56], + ), + F::from_limbs( + [0xe24a606a0fba04276e0830b73cc727, 0x9b918ea9251565fb701bc24d7e2b2a, 0x005997], + ), + F::from_limbs( + [0x7cc816a910521c8f7f77012d9d64d2, 0xfd5789c0e146b081e9cf98bbfed9d6, 0x00483a], + ), + F::from_limbs( + [0x40dbec56ee09e2708088fdd2629b2f, 0xa9fb9fdc9c0182b7ee3870e5d92b7d, 0x002bb2], + ), + F::from_limbs( + [0xc356be3d0f029aa409d9ee00585213, 0xb147452598293eb810c81a72553cb7, 0x0025b3], + ), + F::from_limbs( + [0xfa4d44c2ef59645bf62610ffa7adee, 0xf60be477e51ef481c73fef2f82c89b, 0x004e39], + ), + F::from_limbs( + [0xb871097a9f0c6f53f1742ce989b5a2, 0xdd8280effb6326d76b58b9434f6ec5, 0x00686f], + ), + F::from_limbs( + [0x0532f9855f4f8fac0e8bd216764a5f, 0xc9d0a8ad81e50c626caf505e88968e, 0x000b7d], + ), + F::from_limbs( + [0x1a129e137f0039c2fcba24fbaa6740, 0xaf9519ca80d68d67bc688c2a21ffa8, 0x0046ea], + ), + F::from_limbs( + [0xa39164ec7f5bc53d0345da045598c1, 0xf7be0fd2fc71a5d21b9f7d77b605ab, 0x002d02], + ), + F::from_limbs( + [0x077dddb5761a734e2a017e4ffb6836, 0xe1e4f08eb7ec1e23d4338ba1fdbc33, 0x00099a], + ), + F::from_limbs( + [0xb626254a88418bb1d5fe80b00497cb, 0xc56e390ec55c151603d47dffda4920, 0x006a52], + ), + F::from_limbs( + [0xc00f384e56df5ab098af553e858ddc, 0x772639e0f2e0bdf93ce28c12b17e9a, 0x003d4d], + ), + F::from_limbs( + [0xfd94cab1a77ca44f6750a9c17a7225, 0x302cefbc8a6775409b257d8f2686b8, 0x0036a0], + ), + F::from_limbs( + [0xbbcd0457572ea4ba6f047a391e07cd, 0xdb9969605428e20283d330193c8c22, 0x00227d], + ), + F::from_limbs( + [0x01d6fea8a72d5a4590fb84c6e1f834, 0xcbb9c03d291f51375434d9889b7931, 0x00516f], + ), + F::from_limbs( + [0x3d78a715d35e675f5607600ebe8e85, 0x45bcd7037c97ac5bec5d064c7b2fa1, 0x0068c0], + ), + F::from_limbs( + [0x802b5bea2afd97a0a9f89ef141717c, 0x6196529a00b086ddebab03555cd5b2, 0x000b2d], + ), + F::from_limbs( + [0x5255f97b2f5f8a3aab39c40d504e47, 0x3931c4e8a3365aa19c692fd480ceff, 0x0022e9], + ), + F::from_limbs( + [0x6b4e0984cefc74c554c63af2afb1ba, 0x6e2164b4da11d8983b9ed9cd573654, 0x005104], + ), + F::from_limbs( + [0xe8628b87c4717f74298e4f1f6b05b8, 0x86ffd6389f469bbcecee7941985189, 0x006d89], + ), + F::from_limbs( + [0xd541777839ea7f8bd671afe094fa49, 0x20535364de01977ceb1990603fb3c9, 0x000664], + ), + F::from_limbs( + [0xc4b3dde8d99b1da59b819134b83579, 0x3f3b319dd1b9a8cc0754083d8a76de, 0x001476], + ), + F::from_limbs( + [0xf8f0251724c0e15a647e6dcb47ca88, 0x6817f7ffab8e8a6dd0b401644d8e74, 0x005f77], + ), + F::from_limbs( + [0x5e5d72ca14bf355b2c4072b03330aa, 0xfcb9bed9a1d0c039e6a24828a4d111, 0x0044cb], + ), + F::from_limbs( + [0x5f469035e99cc9a4d3bf8c4fcccf57, 0xaa996ac3db7772fff165c179333442, 0x002f21], + ), + F::from_limbs( + [0xa6b76707616830fca70889363d0810, 0x474a16a937608616f4669de6d37aa6, 0x004100], + ), + F::from_limbs( + [0x16ec9bf89cf3ce0358f775c9c2f7f1, 0x600912f445e7ad22e3a16bbb048aad, 0x0032ed], + ), + F::from_limbs( + [0x034ce5f2a0e16cc71a57258e59e205, 0x4a3b69d18144f376ca920c31a41df2, 0x005d4a], + ), + F::from_limbs( + [0xba571d0d5d7a9238e5a8d971a61dfc, 0x5d17bfcbfc033fc30d75fd7033e761, 0x0016a3], + ), + F::from_limbs( + [0x479c06b64c620e54913a5fad66493e, 0xe8eccb401e43ab35fb17c2ef06e1ff, 0x004f0e], + ), + F::from_limbs( + [0x7607fc49b1f9f0ab6ec59f5299b6c3, 0xbe665e5d5f048803dcf046b2d12354, 0x0024de], + ), + F::from_limbs( + [0x8301162f9b026bdf8f0a899f9ee419, 0x8d97e4ea5441615140b6e155e9ab76, 0x001aa6], + ), + F::from_limbs( + [0x3aa2ecd06359932070f57560611be8, 0x19bb44b32906d1e89751284bee59dd, 0x005947], + ), + F::from_limbs( + [0x9c1028848c11d02b0801fe4d03f4b3, 0xddace4e38717b5fc4d667f921f06b3, 0x001110], + ), + F::from_limbs( + [0x2193da7b724a2ed4f7fe00b2fc0b4e, 0xc9a644b9f6307d3d8aa18a0fb8fea0, 0x0062dc], + ), + F::from_limbs( + [0x3288fa993675c6b000ebfccd728a11, 0x3393fe4edec850a6b9493521aaddad, 0x006be2], + ), + F::from_limbs( + [0x8b1b0866c7e6384fff1402328d75f0, 0x73bf2b4e9e7fe2931ebed4802d27a6, 0x00080b], + ), + F::from_limbs( + [0x199a38673d1c784644f6e6d10cdb65, 0x5763a14834a7853a33904d076ea499, 0x0005fe], + ), + F::from_limbs( + [0xa409ca98c13f86b9bb09182ef3249c, 0x4fef885548a0adffa477bc9a6960ba, 0x006def], + ), + F::from_limbs( + [0x50d9ce6be8ab7e9afd17ae1c79b3cc, 0x6f3c81d65abe294532501559ab8009, 0x003e12], + ), + F::from_limbs( + [0x6cca349415b0806502e850e3864c35, 0x3816a7c7228a09f4a5b7f4482c854a, 0x0035db], + ), + F::from_limbs( + [0x2086a26309099ab289450a2c8c785c, 0x78639fbbfa1a19c8f6a5547ef0cb37, 0x005cae], + ), + F::from_limbs( + [0x9d1d609cf552644d76baf4d37387a5, 0x2eef89e1832e1970e162b522e73a1c, 0x00173f], + ), + F::from_limbs( + [0x726a6f11fd5d1e41a26186d0f7d95a, 0x480ded0b0a2522ed236d0d4ec5e8bf, 0x005b39], + ), + F::from_limbs( + [0x4b3993ee00fee0be5d9e782f0826a7, 0x5f453c927323104cb49afc53121c94, 0x0018b4], + ), + F::from_limbs( + [0xac9edb793129a56d2a3526d2c2e46a, 0x40f093ad57bc107ae64b724aae15f9, 0x006831], + ), + F::from_limbs( + [0x11052786cd325992d5cad82d3d1b97, 0x666295f0258c22bef1bc975729ef5a, 0x000bbc], + ), + F::from_limbs( + [0x6a7dd7ea6053089d718125b7898a67, 0xf96ecc6b5153abf178d66922bda5cb, 0x005b3c], + ), + F::from_limbs( + [0x53262b159e08f6628e7ed94876759a, 0xade45d322bf487485f31a07f1a5f88, 0x0018b0], + ), + F::from_limbs( + [0xa04848fde48575abf74fde099c325f, 0x7857f96a44b11675db3747d3d791a7, 0x003395], + ), + F::from_limbs( + [0x1d5bba0219d6895408b020f663cda2, 0x2efb303338971cc3fcd0c1ce0073ac, 0x004058], + ), + F::from_limbs( + [0x69b1ce32ce51fbe4282ad9e2553334, 0x6ea21fc2a195c87adc4b385e8304b6, 0x005bd0], + ), + F::from_limbs( + [0x53f234cd300a031bd7d5251daacccd, 0x38b109dadbb26abefbbcd14355009d, 0x00181d], + ), + F::from_limbs( + [0x5f6c03f0f179646b0b935e5c78f259, 0x287edbd07e2b04b4c968ebc0152690, 0x005995], + ), + F::from_limbs( + [0x5e37ff0f0ce29a94f46ca0a3870da8, 0x7ed44dccff1d2e850e9f1de1c2dec3, 0x001a58], + ), + F::from_limbs( + [0x5ed2cf19172e412e59452c2173c6ea, 0xb895c01840aecfda8e31c5ff001739, 0x005656], + ), + F::from_limbs( + [0x5ed133e6e72dbdd1a6bad2de8c3917, 0xeebd69853c99635f49d643a2d7ee1a, 0x001d96], + ), + F::from_limbs( + [0x9dcb7f92ea6a9b8d444a5beec3aaaf, 0x07e606bceb10c1d6263b3c797138ff, 0x00654d], + ), + F::from_limbs( + [0x1fd8836d13f16372bbb5a3113c5552, 0x9f6d22e092377163b1cccd2866cc54, 0x000ea0], + ), + F::from_limbs( + [0xb9b3a0749e60cb8768c9f875b63680, 0x291981e1a6ffd922ef4010fd623046, 0x003a9e], + ), + F::from_limbs( + [0x03f0628b5ffb33789736068a49c981, 0x7e39a7bbd6485a16e8c7f8a475d50d, 0x00394f], + ), + F::from_limbs( + [0xf2172bc7473892459629b66ba900be, 0xeb28f1112e24ae07a577ed5adb9833, 0x003ec2], + ), + F::from_limbs( + [0xcb8cd738b7236cba69d6489456ff43, 0xbc2a388c4f23853232901c46fc6d1f, 0x00352a], + ), + F::from_limbs( + [0x6c73629eb540ea3f9554aa5ac511e9, 0xba428345abaac34c773123acc36bcc, 0x004a8a], + ), + F::from_limbs( + [0x5130a061491b14c06aab54a53aee18, 0xed10a657d19d6fed60d6e5f5149987, 0x002962], + ), + F::from_limbs( + [0xd2b29f89691c73686d7450c33d5a33, 0x95c67b9ea2efa1729a4994ac329b4c, 0x0057b5], + ), + F::from_limbs( + [0xeaf16376953f8b97928bae3cc2a5ce, 0x118cadfeda5891c73dbe74f5a56a06, 0x001c38], + ), + F::from_limbs( + [0x0da05f62a2205a038764a74650d0c5, 0x264ed896f8869866cb67d02650f974, 0x00192c], + ), + F::from_limbs( + [0xb003a39d5c3ba4fc789b57b9af2f3c, 0x8104510684c19ad30ca0397b870bdf, 0x005ac1], + ), + F::from_limbs( + [0x07f2b8fe1b995c6f51caab160744d9, 0x45b7ef86f69047659707080c8273d8, 0x00724c], + ), + F::from_limbs( + [0xb5b14a01e2c2a290ae3553e9f8bb28, 0x619b3a1686b7ebd44101019555917b, 0x0001a1], + ), + F::from_limbs( + [0xe6a93079ee7cccc934e486ecc125c0, 0x355dce7eaf368f76379c2c28653e10, 0x002031], + ), + F::from_limbs( + [0xd6fad2860fdf3236cb1b78133eda41, 0x71f55b1ece11a3c3a06bdd7972c742, 0x0053bc], + ), + F::from_limbs( + [0xf79fc3d741bf226521696c6179297c, 0x9ae2c216552207600419c3f6115aeb, 0x0063bc], + ), + F::from_limbs( + [0xc6043f28bc9cdc9ade96929e86d685, 0x0c70678728262bd9d3ee45abc6aa67, 0x001031], + ), + F::from_limbs( + [0xc4ded9ffbba24056e5deedda27244b, 0x8f8601768ac3bbb9b61429944d0c24, 0x00213e], + ), + F::from_limbs( + [0xf8c5290042b9bea91a211125d8dbb6, 0x17cd2826f284778021f3e00d8af92e, 0x0052af], + ), + F::from_limbs( + [0xf518b492651ba347ad66c74d7bca64, 0x5064e14b100a32e73c0848a259cce0, 0x004409], + ), + F::from_limbs( + [0xc88b4e6d99405bb8529937b284359d, 0x56ee48526d3e00529bffc0ff7e3872, 0x002fe4], + ), + F::from_limbs( + [0x31564fda741ade70b774835f62ee3c, 0x1ce4194322964607884498bbcb8c71, 0x001e85], + ), + F::from_limbs( + [0x8c4db3258a41208f488b7ba09d11c5, 0x8a6f105a5ab1ed324fc370e60c78e2, 0x005568], + ), + F::from_limbs( + [0xddec933364680fd1c931b0f7188c6e, 0x2e92d9ce55819bcfd2af02a07aa006, 0x000456], + ), + F::from_limbs( + [0xdfb76fcc99f3ef2e36ce4e08e77393, 0x78c04fcf27c6976a055907015d654c, 0x006f97], + ), + F::from_limbs( + [0x960fc9c499955198e1e535f0666860, 0x5f24e19b3eee4df7efe5f71e0abf44, 0x0054a5], + ), + F::from_limbs( + [0x2794393b64c6ad671e1ac90f9997a1, 0x482e48023e59e541e8221283cd460f, 0x001f48], + ), + F::from_limbs( + [0x1bc63ba1f12ba86a96e7321bc04210, 0x5ec81887c4f43e877567664189754e, 0x0045df], + ), + F::from_limbs( + [0xa1ddc75e0d3056956918cce43fbdf1, 0x488b1115b853f4b262a0a3604e9005, 0x002e0e], + ), + F::from_limbs( + [0x7c81ae1d87699d225d35c86477d58b, 0x400e38958dc7f5783bcc2a7ca18b18, 0x004293], + ), + F::from_limbs( + [0x412254e276f261dda2ca369b882a76, 0x6744f107ef803dc19c3bdf25367a3b, 0x00315a], + ), + F::from_limbs( + [0x2611cec67dd54be518be27e7093f4e, 0x9743b4e0d46958698576f11c4a2e78, 0x0011ea], + ), + F::from_limbs( + [0x979234398086b31ae741d718f6c0b3, 0x100f74bca8dedad0529118858dd6db, 0x006203], + ), + F::from_limbs( + [0x0223751b720a0cf2dab1c8c4a189ff, 0xdcb7690555b9127b1606420ade2a86, 0x002ac9], + ), + F::from_limbs( + [0xbb808de48c51f20d254e363b5e7602, 0xca9bc098278f20bec201c796f9dacd, 0x004923], + ), + F::from_limbs( + [0xa5dd527cd71fb7976ac7f5f6c72a88, 0x6117fe37a234a60a47cec5cb1a85e6, 0x001f1c], + ), + F::from_limbs( + [0x17c6b083273c47689538090938d579, 0x463b2b65db138d2f903943d6bd7f6d, 0x0054d1], + ), + F::from_limbs( + [0x8b12057546a348bd571c059c104014, 0xb61776734f89d0fc55508e07bb7098, 0x00699c], + ), + F::from_limbs( + [0x3291fd8ab7b8b642a8e3f963efbfed, 0xf13bb32a2dbe623d82b77b9a1c94bb, 0x000a50], + ), + F::from_limbs( + [0x9e8b72db6f1e2653fd29142d3819a2, 0xd3f9439750aa38a37afc68b0fafae2, 0x0054a1], + ), + F::from_limbs( + [0x1f1890248f3dd8ac02d6ead2c7e65f, 0xd359e6062c9dfa965d0ba0f0dd0a71, 0x001f4b], + ), + F::from_limbs( + [0xd7c1a278ec608700a9be0299817ca4, 0x55532c1abbaf9ef11dfefbb02e5e62, 0x0007a0], + ), + F::from_limbs( + [0xe5e2608711fb77ff5641fc667e835d, 0x51fffd82c1989448ba090df1a9a6f0, 0x006c4d], + ), + F::from_limbs( + [0x1fd547be4b6ce2b275fb29418f4c5d, 0x428c158ed643f84e55b954bddacbef, 0x003076], + ), + F::from_limbs( + [0x9dcebb41b2ef1c4d8a04d5be70b3a4, 0x64c7140ea7043aeb824eb4e3fd3964, 0x004377], + ), + F::from_limbs( + [0xc86ad30700ce774a3b8d2e0f596020, 0xba2fd3948857eb766ca2207244f211, 0x006a3e], + ), + F::from_limbs( + [0xf5392ff8fd8d87b5c472d0f0a69fe1, 0xed235608f4f047c36b65e92f931341, 0x0009ae], + ), + F::from_limbs( + [0x855177336fb60fdca2ca5cd99ce3c3, 0xe0d6b37e59679e533b9248389fa8c1, 0x00324a], + ), + F::from_limbs( + [0x38528bcc8ea5ef235d35a226631c3e, 0xc67c761f23e094e69c75c169385c92, 0x0041a2], + ), + F::from_limbs( + [0xa947be6ae0adca67112eaf34e9f6be, 0x377e8099fa46465283e47a582918fe, 0x001b23], + ), + F::from_limbs( + [0x145c44951dae3498eed14fcb160943, 0x6fd4a9038301ece754238f49aeec55, 0x0058ca], + ), + F::from_limbs( + [0x1d79c870ba25b6c9e1715651f94edb, 0xe6471ba2107df5f9703e00bf2460a7, 0x002bbe], + ), + F::from_limbs( + [0xa02a3a8f443648361e8ea8ae06b126, 0xc10c0dfb6cca3d4067ca08e2b3a4ac, 0x00482e], + ), + F::from_limbs( + [0x180a97607b7b75ee0a9b7720fe18ea, 0x61caaccddcb331fc82977997ab4493, 0x003441], + ), + F::from_limbs( + [0xa5996b9f82e08911f56487df01e717, 0x45887ccfa095013d5570900a2cc0c0, 0x003fac], + ), + F::from_limbs( + [0x7a4cdd8c345f311415ae6f648ca4c4, 0x11970ddf05c3476edefa503afd9c0a, 0x0017ae], + ), + F::from_limbs( + [0x43572573c9fccdebea518f9b735b3d, 0x95bc1bbe7784ebcaf90db966da6949, 0x005c3f], + ), + F::from_limbs( + [0x2431336dffbd3ff302032d443d58d3, 0xda94c4d882d868bd470adc88c0ecd8, 0x0026c2], + ), + F::from_limbs( + [0x9972cf91fe9ebf0cfdfcd1bbc2a72e, 0xccbe64c4fa6fca7c90fd2d1917187b, 0x004d2a], + ), + F::from_limbs( + [0x8b73877a32f62bdfe96721a6cd7b3e, 0x0231915bdd4603e21d77f00f7c14ae, 0x004f5b], + ), + F::from_limbs( + [0x32307b85cb65d3201698dd593284c3, 0xa5219841a0022f57ba9019925bf0a5, 0x002492], + ), + F::from_limbs( + [0xe566e43fbfb3adcaa4621ab46a4d30, 0xe4c6b3243876efd27177d6ce56ad87, 0x00583a], + ), + F::from_limbs( + [0xd83d1ec03ea851355b9de44b95b2d1, 0xc28c767944d14367669032d38157cb, 0x001bb2], + ), + F::from_limbs( + [0x7e23dd40142c5f9422d2c34101124c, 0x9b8792f6512f934f79299c50142c3d, 0x0024ea], + ), + F::from_limbs( + [0x3f8025bfea2f9f6bdd2d3bbefeedb5, 0x0bcb96a72c189fea5ede6d51c3d916, 0x004f03], + ), + F::from_limbs( + [0xec9c0406a08f265cce2c30333b187f, 0x6ca4e92bd0ad946fec5826cc03719d, 0x000206], + ), + F::from_limbs( + [0xd107fef95dccd8a331d3ceccc4e782, 0x3aae4071ac9a9ec9ebafe2d5d493b5, 0x0071e7], + ), + F::from_limbs( + [0x7f3449b8bd93686beadab96405ae3a, 0x1ab61fc3015bf5412a443f8e57f148, 0x003965], + ), + F::from_limbs( + [0x3e6fb94740c896941525459bfa51c7, 0x8c9d09da7bec3df8adc3ca1380140b, 0x003a88], + ), + F::from_limbs( + [0xd9c57133e56dfad3ea280c5f782f2b, 0xead5a7d140e1e3fff1c4cd5cae127b, 0x0024c2], + ), + F::from_limbs( + [0xe3de91cc18ee042c15d7f2a087d0d6, 0xbc7d81cc3c664f39e6433c4529f2d7, 0x004f2a], + ), + F::from_limbs( + [0xa7fbcbd8c1ce86f75167878ef4c2b7, 0x118566730cb78c4efcd85ee6395889, 0x007110], + ), + F::from_limbs( + [0x15a837273c8d7808ae9877710b3d4a, 0x95cdc32a7090a6eadb2faabb9eacca, 0x0002dd], + ), + F::from_limbs( + [0x1ffcba3c12bc2b9ee90b3d11c2dd21, 0x102ef837861bde2c7551f9dff19445, 0x0006b7], + ), + F::from_limbs( + [0x9da748c3eb9fd36116f4c1ee3d22e0, 0x97243165f72c550d62b60fc1e6710e, 0x006d36], + ), + F::from_limbs( + [0xd017e31cf0cb08eef8f30684ce9026, 0x8d3c8185d7d529293c2d54cc37eba5, 0x00519e], + ), + F::from_limbs( + [0xed8c1fe30d90f611070cf87b316fdb, 0x1a16a817a5730a109bdab4d5a019ad, 0x00224f], + ), + F::from_limbs( + [0x7a986565c2a5d1c9be282a115f3af5, 0x9b7c85ec9ffed0759691f8350bcf77, 0x002dfe], + ), + F::from_limbs( + [0x430b9d9a3bb62d3641d7d4eea0c50c, 0x0bd6a3b0dd4962c44176116ccc35dc, 0x0045ef], + ), + F::from_limbs( + [0xa9e37a3c78a6f03c5e8cd07ac27967, 0xa77bf4482596c40e6ea7ec15f1e470, 0x006957], + ), + F::from_limbs( + [0x13c088c385b50ec3a1732e853d869a, 0xffd7355557b16f2b69601d8be620e3, 0x000a95], + ), + F::from_limbs( + [0xda1d1c2ae95f6ed46bc78329689a4e, 0xd3feed71abf08747974362d7998504, 0x005f55], + ), + F::from_limbs( + [0xe386e6d514fc902b94387bd69765b3, 0xd3543c2bd157abf240c4a6ca3e804e, 0x001497], + ), + F::from_limbs( + [0xdc7f318ce3896129a67c58c11af270, 0x33b32d96101f50bdf12f11ba2ba3f6, 0x004407], + ), + F::from_limbs( + [0xe124d1731ad29dd65983a63ee50d91, 0x739ffc076d28e27be6d8f7e7ac615c, 0x002fe6], + ), + F::from_limbs( + [0x277cbb3e7a777eeeb008d78b019434, 0xfbfe7fba4f67c98d9a4ba421a74a5e, 0x006892], + ), + F::from_limbs( + [0x962747c183e480114ff72774fe6bcd, 0xab54a9e32de069ac3dbc658030baf5, 0x000b5a], + ), + F::from_limbs( + [0x20997b1fdd66bd53ec18ed560e5c0c, 0x74a3e7e4ae661be49858d07f3e273d, 0x000bdf], + ), + F::from_limbs( + [0x9d0a87e020f541ac13e711a9f1a3f5, 0x32af41b8cee217553faf392299de16, 0x00680e], + ), + F::from_limbs( + [0xe792ae1b302effd0b0f21e5dd18de6, 0x1d8cfff841ef8c787035f36a072656, 0x0051d1], + ), + F::from_limbs( + [0xd61154e4ce2cff2f4f0de0a22e721b, 0x89c629a53b58a6c167d21637d0defc, 0x00221c], + ), + F::from_limbs( + [0x1a01cc28fefe11f643be94ebcf7272, 0x3a3286fa30c54b3fe9256008c92553, 0x00491c], + ), + F::from_limbs( + [0xa3a236d6ff5ded09bc416a14308d8f, 0x6d20a2a34c82e7f9eee2a9990ee000, 0x002ad1], + ), + F::from_limbs( + [0x3fdeea97c6fe196470728429de50e2, 0x0a1474f2943817443ffa79edc2405a, 0x003edc], + ), + F::from_limbs( + [0x7dc51868375de59b8f8d7ad621af1f, 0x9d3eb4aae9101bf5980d8fb415c4f9, 0x003511], + ), + F::from_limbs( + [0xeaa5fd91eb8ad60697528e66468f8b, 0xf542a4cb0e56a928854e7f46c10779, 0x0037ca], + ), + F::from_limbs( + [0xd2fe056e12d128f968ad7099b97076, 0xb21084d26ef18a1152b98a5b16fdd9, 0x003c22], + ), + F::from_limbs( + [0x13924feb1eeca0f1045bd496c219a4, 0x1bdcc7a762a7a1e2d45135ad7c1cf7, 0x000303], + ), + F::from_limbs( + [0xaa11b314df6f5e0efba42a693de65d, 0x8b7661f61aa0915703b6d3f45be85c, 0x0070ea], + ), + F::from_limbs( + [0x4daa4a99dbb5b03fbacc5e6dc71317, 0x8eb4ab2df85240fdd323261f47b06d, 0x002bbf], + ), + F::from_limbs( + [0x6ff9b86622a64ec04533a09238ecea, 0x189e7e6f84f5f23c04e4e3829054e6, 0x00482e], + ), + F::from_limbs( + [0x6af2a3df55476564cabfb80ccdf965, 0xa8bb5dc5e43d9aaa551e3cb295f125, 0x006bfb], + ), + F::from_limbs( + [0x52b15f20a914999b354046f332069c, 0xfe97cbd7990a988f82e9ccef42142e, 0x0007f1], + ), + F::from_limbs( + [0x57cb9f5410cdb13e4972bf66f482c6, 0x0a0c78d1f4e98c45d4e61e2afaf2e3, 0x006534], + ), + F::from_limbs( + [0x65d863abed8e4dc1b68d3f990b7d3b, 0x9d46b0cb885ea6f40321eb76dd1270, 0x000eb9], + ), + F::from_limbs( + [0x47df7ab3dcb27be44ecf3b78cfad97, 0x5daa7c9b91da67e2903db4b2328356, 0x000cb4], + ), + F::from_limbs( + [0x75c4884c21a9831bb130c38730526a, 0x49a8ad01eb6dcb5747ca54efa581fd, 0x006739], + ), + F::from_limbs( + [0x335495b3e381a61803b5a2380d0d30, 0xdc57672d00970d536c25c56fe7a60f, 0x0021d1], + ), + F::from_limbs( + [0x8a4f6d4c1ada58e7fc4a5cc7f2f2d1, 0xcafbc2707cb125e66be24431f05f44, 0x00521b], + ), + F::from_limbs( + [0xb619876811f53367d96ac4dec2a7c5, 0x205c599f30a57bf990ec45bb4a8b69, 0x003ef1], + ), + F::from_limbs( + [0x078a7b97ec66cb9826953a213d583c, 0x86f6cffe4ca2b740471bc3e68d79ea, 0x0034fc], + ), + F::from_limbs( + [0x41e2dc3cbcaa821d94f28bd2c67835, 0x1f70aeb2ebcd2b0325dad02c36de2e, 0x0014b9], + ), + F::from_limbs( + [0x7bc126c341b17ce26b0d732d3987cc, 0x87e27aea917b0836b22d3975a12725, 0x005f34], + ), + F::from_limbs( + [0x4afcc358f070656798b57cfe3321aa, 0xf69b92ab6fc454e75abe206844831d, 0x001654], + ), + F::from_limbs( + [0x72a73fa70deb9998674a8201ccde57, 0xb0b796f20d83de527d49e939938236, 0x005d98], + ), + F::from_limbs( + [0xb646d5a9ae7de4fb27d64d21924534, 0x29fc62fee1ef3730c5466a640457fe, 0x003c13], + ), + F::from_limbs( + [0x075d2d564fde1a04d829b1de6dbacd, 0x7d56c69e9b58fc0912c19f3dd3ad55, 0x0037da], + ), + F::from_limbs( + [0x89d821e1ae06b63c3d590cd42f742e, 0x63ad8b42d73f52437581fc31b4cb3b, 0x0045cb], + ), + F::from_limbs( + [0x33cbe11e505548c3c2a6f22bd08bd3, 0x43a59e5aa608e0f662860d70233a18, 0x002e22], + ), + F::from_limbs( + [0xd7c6c5de7c9c7598942eff1093543f, 0x475a4ded008f25944c39b09897e604, 0x006e29], + ), + F::from_limbs( + [0xe5dd3d2181bf89676bd0ffef6cabc2, 0x5ff8dbb07cb90da58bce5909401f4e, 0x0005c4], + ), + F::from_limbs( + [0xac5823be4c981f8af00971a8493ef2, 0x1d363d4b2f15805a9b50ec0d2d83c6, 0x003175], + ), + F::from_limbs( + [0x114bdf41b1c3df750ff68d57b6c10f, 0x8a1cec524e32b2df3cb71d94aa818d, 0x004278], + ), + F::from_limbs( + [0x9f60bd799619a78b235e378dc9fa7c, 0x81e948ae5bc5fe101b8c580f1b2242, 0x0067b0], + ), + F::from_limbs( + [0x1e43458668425774dca1c772360585, 0x2569e0ef21823529bc7bb192bce311, 0x000c3d], + ), + F::from_limbs( + [0xee8492ee3da22ff3e3e1962f75a6b8, 0x5dd7ff6f5999d3d22736d22e5d8107, 0x0073d3], + ), + F::from_limbs( + [0xcf1f7011c0b9cf0c1c1e68d08a5949, 0x497b2a2e23ae5f67b0d137737a844b, 0x00001a], + ), + F::from_limbs( + [0xcec740fed7840e6dbad9a23e72f81c, 0xb9a5d59ea6535f2fce20817a78d7c3, 0x004785], + ), + F::from_limbs( + [0xeedcc20126d7f09245265cc18d07e5, 0xedad53fed6f4d40a09e788275f2d8f, 0x002c67], + ), + F::from_limbs( + [0x069ac76165652518b66c7d8e84b7fb, 0x6824377d54128a64cca9517059cf6b, 0x0033f1], + ), + F::from_limbs( + [0xb7093b9e98f6d9e7499381717b4806, 0x3f2ef2202935a8d50b5eb8317e35e8, 0x003ffc], + ), + F::from_limbs( + [0x0ecd974f2a3b506efed909666fe227, 0x79afbe389bf399a8cb100ba938f0ea, 0x005eac], + ), + F::from_limbs( + [0xaed66bb0d420ae910126f599901dda, 0x2da36b64e15499910cf7fdf89f1469, 0x001541], + ), + F::from_limbs( + [0x010631e01cbc9f572cb84cf2c5ba09, 0x861b644b42c375aa55f89169d7ad93, 0x005b59], + ), + F::from_limbs( + [0xbc9dd11fe19f5fa8d347b20d3a45f8, 0x2137c5523a84bd8f820f78380057c0, 0x001894], + ), + F::from_limbs( + [0x036aeea430a057753ed7c94fb0eeb9, 0x421b969856edaeada54c5497aad2cf, 0x002aa4], + ), + F::from_limbs( + [0xba39145bcdbba78ac12835b04f1148, 0x65379305265a848c32bbb50a2d3284, 0x004949], + ), + F::from_limbs( + [0x27f1e0971010d57a3c81696a211fdf, 0xa91f129e2638b0ee8a91eb8b9e25cb, 0x0065f1], + ), + F::from_limbs( + [0x95b22268ee4b2985c37e9595dee022, 0xfe3416ff570f824b4d761e1639df88, 0x000dfb], + ), + F::from_limbs( + [0xb6b627c983a9d2e73458ac79b074ee, 0x26f9a1f2fb63a902b699f27a42bda3, 0x0066ae], + ), + F::from_limbs( + [0x06eddb367ab22c18cba752864f8b13, 0x805987aa81e48a37216e17279547b0, 0x000d3f], + ), + F::from_limbs( + [0x2345c5177d051a336503a91e97e5d7, 0xe82a9d82d223e607676361fe30e365, 0x002b64], + ), + F::from_limbs( + [0x9a5e3de88156e4cc9afc55e1681a2a, 0xbf288c1aab244d3270a4a7a3a721ee, 0x004888], + ), + F::from_limbs( + [0xb5d08955ff9e20e0480ab0fd9a31fa, 0x67c5369459aa472ce39066e706af49, 0x005bf5], + ), + F::from_limbs( + [0x07d379a9febdde1fb7f54e0265ce07, 0x3f8df309239dec0cf477a2bad1560a, 0x0017f8], + ), + F::from_limbs( + [0x21a614ccdb8d0356d6ec5ed1e118ad, 0x4cbaa9097311544f0b99685cfd7fc2, 0x003715], + ), + F::from_limbs( + [0x9bfdee3322cefba92913a02e1ee754, 0x5a9880940a36deeacc6ea144da8591, 0x003cd8], + ), + F::from_limbs( + [0x4004660ebbfc8136ef495f9fe8668d, 0xd2acd3b1314f047d8c5e8e943d7b0f, 0x00158c], + ), + F::from_limbs( + [0x7d9f9cf1425f7dc910b69f60179974, 0xd4a655ec4bf92ebc4ba97b0d9a8a44, 0x005e60], + ), + F::from_limbs( + [0xef7cb95c169e236f344925d273570b, 0xed4d89397e65a1e265fc1fb2d6cb41, 0x0039d6], + ), + F::from_limbs( + [0xce2749a3e7bddb90cbb6d92d8ca8f6, 0xba05a063fee29157720be9ef013a11, 0x003a16], + ), + F::from_limbs( + [0xbfd8fb21c9bc312aafa84a8f32c4c3, 0x725ed9887c0d76a737cfb9ec903271, 0x006fd9], + ), + F::from_limbs( + [0xfdcb07de349fcdd55057b470cd3b3e, 0x34f45015013abc92a0384fb547d2e1, 0x000414], + ), + F::from_limbs( + [0xac5555ad914c92614850e921b50b55, 0x888e1bc2c0f01f01546fd8631e66e8, 0x0027fc], + ), + F::from_limbs( + [0x114ead526d0f6c9eb7af15de4af4ac, 0x1ec50ddabc5814388398313eb99e6b, 0x004bf1], + ), + F::from_limbs( + [0x54fbc08c604c0bc827edff9f54ca63, 0xdddc6facd3a427840b4f6a4b3ffe3c, 0x0000cc], + ), + F::from_limbs( + [0x68a842739e0ff337d811ff60ab359e, 0xc976b9f0a9a40bb5ccb89f56980717, 0x007320], + ), + F::from_limbs( + [0xf4f876d5d1189994dd945218bdbbc2, 0xfb376ec72a786796c6567f5b161232, 0x005e8f], + ), + F::from_limbs( + [0xc8ab8c2a2d43656b226bace742443f, 0xac1bbad652cfcba311b18a46c1f320, 0x00155d], + ), + F::from_limbs( + [0x33fc05de37b96a5c092cddae2df4ca, 0x946abc676c5ed913df0b62773d4fbd, 0x000822], + ), + F::from_limbs( + [0x89a7fd21c6a294a3f6d32151d20b37, 0x12e86d3610e95a25f8fca72a9ab596, 0x006bcb], + ), + F::from_limbs( + [0x9d80b5ada11a750907a4e8b7d58e6a, 0x3c12226705777b23957d3889bcbf4d, 0x005b5e], + ), + F::from_limbs( + [0x20234d525d4189f6f85b16482a7197, 0x6b41073677d0b816428ad1181b4606, 0x00188f], + ), + F::from_limbs( + [0xdeb374606e7481ab9cb369c352cef9, 0x386f0661f1a7f25ded5a7525beba19, 0x0030c6], + ), + F::from_limbs( + [0xdef08e9f8fe77d54634c953cad3108, 0x6ee4233b8ba040dbeaad947c194b39, 0x004327], + ), + F::from_limbs( + [0x5b1a2164b6dd1896e6c704e507a68c, 0xa11049970467d95853e14bf970d3fc, 0x00736a], + ), + F::from_limbs( + [0x6289e19b477ee6691938fa1af85975, 0x0642e00678e059e18426bda8673157, 0x000083], + ), + F::from_limbs( + [0xa0c3b85cc1625c18889dbb4c8fc93f, 0x554ad434a3a77303d14549438829dd, 0x002db8], + ), + F::from_limbs( + [0x1ce04aa33cf9a2e7776243b37036c2, 0x52085568d9a0c03606c2c05e4fdb76, 0x004635], + ), + F::from_limbs( + [0x495a3f68e907e71bb3e6377c8ca828, 0x42dcd31ae38aaeeb020aab9a427042, 0x00136d], + ), + F::from_limbs( + [0x7449c397155417e44c19c7837357d9, 0x6476568299bd844ed5fd5e07959511, 0x006080], + ), + F::from_limbs( + [0x03fca33ae80a7fc83b37a3b9e12e68, 0x42747c135aee51c1f421f069545a96, 0x0016f8], + ), + F::from_limbs( + [0xb9a75fc516517f37c4c85b461ed199, 0x64dead8a2259e177e3e6193883aabd, 0x005cf5], + ), + F::from_limbs( + [0x2e14681c99205c3efbab2e58a9a902, 0xd98628e0476857354101f90fd89fc1, 0x002975], + ), + F::from_limbs( + [0x8f8f9ae3653ba2c10454d0a75656ff, 0xcdcd00bd35dfdc0497061091ff6592, 0x004a77], + ), + F::from_limbs( + [0x8b8205eb6bd64213c2c46305798d57, 0xc8a83119f25dcd4785621a77f02003, 0x0029a8], + ), + F::from_limbs( + [0x3221fd149285bcec3d3b9bfa8672aa, 0xdeaaf8838aea65f252a5ef29e7e550, 0x004a44], + ), + F::from_limbs( + [0x3a7975240c453467f53af052532623, 0x65af92d4f70159b29ee57bf65f7f96, 0x00622b], + ), + F::from_limbs( + [0x832a8ddbf216ca980ac50eadacd9de, 0x41a396c88646d98739228dab7885bd, 0x0011c2], + ), + F::from_limbs( + [0x63e200e9d8e2e5305f74f884460d5a, 0xf96b57d1fb5374dfde2f880fa03f19, 0x0023a8], + ), + F::from_limbs( + [0x59c20216257919cfa08b067bb9f2a7, 0xade7d1cb81f4be59f9d8819237c63a, 0x005044], + ), + F::from_limbs( + [0xe6f3a7aa7aa027d5ef58fc555a6545, 0xc3a26d8d2d0b63363c75ac7b61fa06, 0x001efe], + ), + F::from_limbs( + [0xd6b05b5583bbd72a10a702aaa59abc, 0xe3b0bc10503cd0039b925d26760b4c, 0x0054ee], + ), + F::from_limbs( + [0x8cc4e59271bc254675e44de9acb089, 0x90622d1b33952336df41aa60d8fd88, 0x002a16], + ), + F::from_limbs( + [0x30df1d6d8c9fd9b98a1bb116534f78, 0x16f0fc8249b31002f8c65f40ff07cb, 0x0049d7], + ), + F::from_limbs( + [0x5a4984bd3033326a314c573c060e79, 0x4308610110d950309e5d6881371a44, 0x00251f], + ), + F::from_limbs( + [0x635a7e42ce28cc95ceb3a7c3f9f188, 0x644ac89c6c6ee30939aaa120a0eb0f, 0x004ece], + ), + F::from_limbs( + [0x6261dae436c20e1ae655f9c67cb4ee, 0x22db31ab8d36fc199e379693433fef, 0x00590d], + ), + F::from_limbs( + [0x5b42281bc799f0e519aa0539834b13, 0x8477f7f1f011372039d0730e94c564, 0x001ae0], + ), + F::from_limbs( + [0x97df7b82540d7f520fa375ce78b879, 0xd257d52cc247f82e1823a6a0a604df, 0x0013e4], + ), + F::from_limbs( + [0x25c4877daa4e7fadf05c8931874788, 0xd4fb5470bb003b0bbfe46301320074, 0x006008], + ), + F::from_limbs( + [0x27e28d07b063a01ddcc828594b2606, 0x18800771dd7f441b5c5cba7e08c60a, 0x006e7a], + ), + F::from_limbs( + [0x95c175f84df85ee22337d6a6b4d9fb, 0x8ed3222b9fc8ef1e7bab4f23cf3f49, 0x000573], + ), + F::from_limbs( + [0x122a6bda001d781a1d628b12064a8f, 0xbef1ee380b4c3884583970d8ed1f28, 0x000d69], + ), + F::from_limbs( + [0xab799725fe3e86e5e29d73edf9b572, 0xe8613b6571fbfab57fce98c8eae62b, 0x006683], + ), + F::from_limbs( + [0x4109d826db2ff20301669f731697cb, 0xefe5327bd2b34713d04cbf2d404699, 0x005999], + ), + F::from_limbs( + [0x7c9a2ad9232c0cfcfe995f8ce96836, 0xb76df721aa94ec2607bb4a7497beba, 0x001a53], + ), + F::from_limbs( + [0x279b87d2e6b387fcf5fe3b045dd181, 0x1fd88f51bc49ee62c37382b0353690, 0x004f16], + ), + F::from_limbs( + [0x96087b2d17a877030a01c3fba22e80, 0x877a9a4bc0fe44d7149486f1a2cec3, 0x0024d7], + ), + F::from_limbs( + [0xb5d2af6411c8553712b61b70f50fdc, 0xfef871d9d6648a833323701f1e4282, 0x003dba], + ), + F::from_limbs( + [0x07d1539bec93a9c8ed49e38f0af025, 0xa85ab7c3a6e3a8b6a4e49982b9c2d1, 0x003632], + ), + F::from_limbs( + [0x15c80f017c9aa2a069d1dc9b7042bc, 0xa5269bf2095fdaa09ca8fc7421e5f7, 0x0019e0], + ), + F::from_limbs( + [0xa7dbf3fe81c15c5f962e22648fbd45, 0x022c8dab73e858993b5f0d2db61f5c, 0x005a0d], + ), + F::from_limbs( + [0x62db18feb3e506f88c9f388c0677df, 0x3b9eaedc5bb79b6f2492431540cb08, 0x005385], + ), + F::from_limbs( + [0x5ac8ea014a76f8077360c673f98822, 0x6bb47ac1219097cab375c68c973a4b, 0x002068], + ), + F::from_limbs( + [0x655490bf2eb5c842ba9cf6eeeeae9b, 0xd2474b10f54a9e3e5c6ba11db18f5c, 0x003d7f], + ), + F::from_limbs( + [0x584f7240cfa636bd45630811115166, 0xd50bde8c87fd94fb7b9c68842675f7, 0x00366d], + ), + F::from_limbs( + [0xdbd2559a884245d72951864d8fa8da, 0x1375b8c0af7b737efcd5f01ebdb95c, 0x001fb6], + ), + F::from_limbs( + [0xe1d1ad657619b928d6ae78b2705727, 0x93dd70dccdccbfbadb3219831a4bf6, 0x005437], + ), + F::from_limbs( + [0x5879432fea7a51222aedd803cfa5cb, 0x4886f803ad1dad27b4014dedfaed14, 0x001b15], + ), + F::from_limbs( + [0x652abfd013e1adddd51226fc305a36, 0x5ecc3199d02a86122406bbb3dd183f, 0x0058d8], + ), + F::from_limbs( + [0xc99defc2a29159bca5d0ce219b4711, 0x7214004ab09d69632374d00f8a2e91, 0x001737], + ), + F::from_limbs( + [0xf406133d5bcaa5435a2f30de64b8f0, 0x353f2952ccaac9d6b49339924dd6c1, 0x005cb6], + ), + F::from_limbs( + [0x4901bbd26428fd3608266993cc1060, 0xf73cd3a330df9a39086a6948da8562, 0x004f39], + ), + F::from_limbs( + [0x74a2472d9a3301c9f7d9956c33efa1, 0xb01655fa4c689900cf9da058fd7ff1, 0x0024b3], + ), + F::from_limbs( + [0x077d669930bd57b515ba906dbfc129, 0x63cbfdc3672250f2476c3902b234c3, 0x0025eb], + ), + F::from_limbs( + [0xb6269c66cd9ea74aea456e92403ed8, 0x43872bda1625e247909bd09f25d090, 0x004e02], + ), + F::from_limbs( + [0x63a3ef0a0dc0eda56e5338c1cb228f, 0x4dcd2085462924021dd09c3abc78e7, 0x003d7c], + ), + F::from_limbs( + [0x5a0013f5f09b115a91acc63e34dd72, 0x59860918371f0f37ba376d671b8c6c, 0x003671], + ), + F::from_limbs( + [0x17f78b09396083ed9be33e30f62aaa, 0xb650aa0b473d0bd9e6a77fb9d5d6ca, 0x007369], + ), + F::from_limbs( + [0xa5ac77f6c4fb7b12641cc0cf09d557, 0xf1027f92360b275ff16089e8022e89, 0x000083], + ), + F::from_limbs( + [0xb3ac610f977e33a5d11204dfbed99d, 0xbb4b42cf1f3a9b0feb4704453bb48b, 0x0046df], + ), + F::from_limbs( + [0x09f7a1f066ddcb5a2eedfa20412664, 0xec07e6ce5e0d9829ecc1055c9c50c8, 0x002d0d], + ), + F::from_limbs( + [0x55ad625c181f556065bcd7a01c30f2, 0x781a7c2239ae887a36503010401e36, 0x004f5b], + ), + F::from_limbs( + [0x67f6a0a3e63ca99f9a43275fe3cf0f, 0x2f38ad7b4399aabfa1b7d99197e71d, 0x002492], + ), + F::from_limbs( + [0x41edb4801671b387553452e7d61777, 0xd29ba4c63ee76548d5a502b249e7f1, 0x006dc9], + ), + F::from_limbs( + [0x7bb64e7fe7ea4b78aacbac1829e88a, 0xd4b784d73e60cdf1026306ef8e1d62, 0x000623], + ), + F::from_limbs( + [0xc3fa6b12b3b74ec8b70acd9cf0d865, 0x2c1755de706dc08e3aa03315ca7a63, 0x003b64], + ), + F::from_limbs( + [0xf9a997ed4aa4b03748f531630f279c, 0x7b3bd3bf0cda72ab9d67d68c0d8aef, 0x003889], + ), + F::from_limbs( + [0xef690241dfa3963ce8fa61277fed1a, 0x4b9f0b721eb1bf8908719fe1ec6949, 0x005e90], + ), + F::from_limbs( + [0xce3b00be1eb868c317059dd88012e7, 0x5bb41e2b5e9673b0cf9669bfeb9c09, 0x00155d], + ), + F::from_limbs( + [0xe791c9632c5ea306ce63b513ad4ce0, 0xe3baa6b4f02c0689adb2f9082fb65f, 0x004e36], + ), + F::from_limbs( + [0xd612399cd1fd5bf9319c49ec52b321, 0xc39882e88d1c2cb02a551099a84ef3, 0x0025b6], + ), + F::from_limbs( + [0x0cde3a17cbf71e5f622b1f50d9fdd2, 0x2cf1d0e1dadb041561a5e218abee3e, 0x002002], + ), + F::from_limbs( + [0xb0c5c8e83264e0a09dd4dfaf26022f, 0x7a6158bba26d2f24766227892c1715, 0x0053eb], + ), + F::from_limbs( + [0x537e43d8e58b2372f85bc98bc40e5a, 0xeaa7d4663a5035d056852237c9d923, 0x002481], + ), + F::from_limbs( + [0x6a25bf2718d0db8d07a435743bf1a7, 0xbcab553742f7fd698182e76a0e2c30, 0x004f6b], + ), + F::from_limbs( + [0x47b2f144954b140bbd1890bb6705e7, 0xff7adae82fa6558f5be8e50b86a696, 0x001707], + ), + F::from_limbs( + [0x75f111bb6910eaf442e76e4498fa1a, 0xa7d84eb54da1ddaa7c1f2496515ebd, 0x005ce5], + ), + F::from_limbs( + [0xe680f5dafc6153a131aa10fd632e00, 0x134c2edfd8640e2f577d0ff387b8a5, 0x005ff3], + ), + F::from_limbs( + [0xd7230d2501faab5ece55ee029cd201, 0x9406fabda4e4250a808af9ae504cad, 0x0013fa], + ), + F::from_limbs( + [0x52d122bd538957e4cb00352c21f113, 0x6b967a02c84b89d12a87006d579ea1, 0x0027d8], + ), + F::from_limbs( + [0x6ad2e042aad2a71b34ffc9d3de0eee, 0x3bbcaf9ab4fca968ad8109348066b2, 0x004c15], + ), + F::from_limbs( + [0x6069bbc672bcd63fc6e7f37a5b26a1, 0x12f82c0988ef81ca254da703f317b7, 0x002c4a], + ), + F::from_limbs( + [0x5d3a47398b9f28c039180b85a4d960, 0x945afd93f458b16fb2ba629de4ed9c, 0x0047a3], + ), + F::from_limbs( + [0x550d70148336689facaa64d3610ad5, 0x07745a6b893c3d980cdab38ca1760a, 0x0002f8], + ), + F::from_limbs( + [0x689692eb7b25966053559a2c9ef52c, 0x9fdecf31f40bf5a1cb2d5615368f49, 0x0070f5], + ), + F::from_limbs( + [0xca0410a1c9a10a62c107092a653563, 0x89b5205c01ad36eb0ad3b74e021dec, 0x002aa8], + ), + F::from_limbs( + [0xf39ff25e34baf49d3ef8f5d59aca9e, 0x1d9e09417b9afc4ecd345253d5e766, 0x004945], + ), + F::from_limbs( + [0x0607c9bc523c31742ddf5eef4d4eaa, 0x891e1db52597a9c0b4d6e6ac40094a, 0x00155d], + ), + F::from_limbs( + [0xb79c3943ac1fcd8bd220a010b2b157, 0x1e350be857b08979233122f597fc09, 0x005e90], + ), + F::from_limbs( + [0xdadda702f99ca6235747e7245ca8f3, 0x989c317709ce3761dca398879864ee, 0x0067f5], + ), + F::from_limbs( + [0xe2c65bfd04bf58dca8b817dba3570e, 0x0eb6f8267379fbd7fb64711a3fa064, 0x000bf8], + ), + F::from_limbs( + [0x26cb392f9cd37aa223717637b2a39a, 0x7bac12ba0cc14923b1de5d054ff5cd, 0x0008ac], + ), + F::from_limbs( + [0x96d8c9d06188845ddc8e88c84d5c67, 0x2ba716e37086ea162629ac9c880f86, 0x006b41], + ), + F::from_limbs( + [0xcc5d3b6c2f14c021e5adbdd7b45b67, 0xa957448e60fb4ed489c94adbeee64a, 0x004438], + ), + F::from_limbs( + [0xf146c793cf473ede1a5241284ba49a, 0xfdfbe50f1c4ce4654e3ebec5e91f08, 0x002fb4], + ), + F::from_limbs( + [0xbd422a206f6b6a21a0019cde8aa342, 0x4dfd3ba86f2050548384249ecf71c4, 0x00178c], + ), + F::from_limbs( + [0x0061d8df8ef094de5ffe6221755cbf, 0x5955edf50e27e2e55483e50308938f, 0x005c61], + ), + F::from_limbs( + [0xcc4b7382a961c6042cdc510b610c75, 0x371b67e5b1e369b3acd7001093f4a1, 0x00431e], + ), + F::from_limbs( + [0xf1588f7d54fa38fbd323adf49ef38c, 0x7037c1b7cb64c9862b3109914410b1, 0x0030cf], + ), + F::from_limbs( + [0x6fd201e8f5cc40a3afe5b2094fc128, 0xfe671be7bb3770be381d1d554a5b40, 0x0018bf], + ), + F::from_limbs( + [0x4dd20117088fbe5c501a4cf6b03ed9, 0xa8ec0db5c210c27b9feaec4c8daa13, 0x005b2d], + ), + F::from_limbs( + [0xf025db383b07030c5949b99fe0cf18, 0x293af972bc06e684d71edb9b48c8fb, 0x005514], + ), + F::from_limbs( + [0xcd7e27c7c354fbf3a6b645601f30e9, 0x7e18302ac1414cb500e92e068f3c57, 0x001ed9], + ), + F::from_limbs( + [0x3562ca05a2228a61650d680b8a6595, 0x9add509bfeb324c70882829c954881, 0x003f8f], + ), + F::from_limbs( + [0x884138fa5c39749e9af296f4759a6c, 0x0c75d9017e950e72cf85870542bcd2, 0x00345e], + ), + F::from_limbs( + [0x6b3c313aa95aee82f6451c0ffd9e4b, 0x6d8766a0943a502e6324c3508a3d5d, 0x001de8], + ), + F::from_limbs( + [0x5267d1c55501107d09bae2f00261b6, 0x39cbc2fce90de30b74e346514dc7f6, 0x005605], + ), + F::from_limbs( + [0x654ce80fe96082a1e43aaa7b821ea8, 0xf72b923064c0be698f7263e18fd0b9, 0x002cc7], + ), + F::from_limbs( + [0x58571af014fb7c5e1bc554847de159, 0xb027976d188774d04895a5c048349a, 0x004725], + ), + F::from_limbs( + [0x54ae98f2436032489a67c9866dd8ad, 0xe4d12bf37061256021f248c7908c5b, 0x005e75], + ), + F::from_limbs( + [0x68f56a0dbafbccb765983579922754, 0xc281fdaa0ce70dd9b615c0da4778f8, 0x001577], + ), + F::from_limbs( + [0x8497fcc49d0aa40b429d38e35259ba, 0x99a26cd1eb74403a1340a2d6a1bb64, 0x003475], + ), + F::from_limbs( + [0x390c063b61515af4bd62c61cada647, 0x0db0bccb91d3f2ffc4c766cb3649ef, 0x003f78], + ), + F::from_limbs( + [0x3be6ce0d94c6fa2af3b166edf32104, 0xdd86f64b2b584cdc6ccbf204e89982, 0x00386c], + ), + F::from_limbs( + [0x81bd34f2699504d50c4e98120cdefd, 0xc9cc335251efe65d6b3c179cef6bd1, 0x003b80], + ), + F::from_limbs( + [0xfe230845799344541d2d22e8741f95, 0xb81eac8a6b93f11de21f95fdc20639, 0x0019a3], + ), + F::from_limbs( + [0xbf80faba84c8baabe2d2dc178be06c, 0xef347d1311b4421bf5e873a415ff19, 0x005a49], + ), + F::from_limbs( + [0xfe8d642079b117e2b984147df9fa0c, 0x54602f81f7daddb4495985ce8faabc, 0x00268a], + ), + F::from_limbs( + [0xbf169edf84aae71d467bea820605f5, 0x52f2fa1b856d55858eae83d3485a96, 0x004d63], + ), + F::from_limbs( + [0xac10045770c08b8c60ff7cd1cb44b7, 0x548cbf1cc89059674f9cea35a7984c, 0x002455], + ), + F::from_limbs( + [0x1193fea88d9b73739f00822e34bb4a, 0x52c66a80b4b7d9d2886b1f6c306d07, 0x004f98], + ), + F::from_limbs( + [0x3682e1dd8e09eea1bf6608e5f02061, 0x4966d963f03feefe5024fc878e21d5, 0x007052], + ), + F::from_limbs( + [0x872121227052105e4099f61a0fdfa0, 0x5dec50398d08443b87e30d1a49e37e, 0x00039b], + ), + F::from_limbs( + [0x2e052cb748d5c0c04adf434b4e09ff, 0xf2bbe685dbe29aa1cac699a261938d, 0x00218a], + ), + F::from_limbs( + [0x8f9ed648b5863e3fb520bbb4b1f602, 0xb4974317a16598980d416fff7671c6, 0x005262], + ), + F::from_limbs( + [0x6d28a175fac82773be83cb00213581, 0x05a1a5d4698d5ee9e090bc999a0261, 0x002710], + ), + F::from_limbs( + [0x507b618a0393d78c417c33ffdeca80, 0xa1b183c913bad44ff7774d083e02f2, 0x004cdd], + ), + F::from_limbs( + [0xc71ad10f1cb57ed38797c866a2d324, 0x5a3fce4392a5b6641cef26ddbb1e10, 0x00543a], + ), + F::from_limbs( + [0xf68931f0e1a6802c786836995d2cdd, 0x4d135b59eaa27cd5bb18e2c41ce742, 0x001fb3], + ), + F::from_limbs( + [0x3b0e7eef22839ee457f3a8335b7c95, 0x7dc08530f7efe3a32515bfe9049360, 0x000a3e], + ), + F::from_limbs( + [0x82958410dbd8601ba80c56cca4836c, 0x2992a46c85584f96b2f249b8d371f3, 0x0069af], + ), + F::from_limbs( + [0x010d11ad78e67deb7dbe225750689c, 0xc1ce8fe57512b096e947760ffd71d2, 0x001478], + ), + F::from_limbs( + [0xbc96f152857581148241dca8af9765, 0xe58499b8083582a2eec09391da9381, 0x005f74], + ), + F::from_limbs( + [0x0d7b400461dcb7a69e3537d4ebbcf1, 0xf8671d4058336373dcdb72a544f8c7, 0x000aab], + ), + F::from_limbs( + [0xb028c2fb9c7f475961cac72b144310, 0xaeec0c5d2514cfc5fb2c96fc930c8c, 0x006941], + ), + F::from_limbs( + [0xbcb5780f8ed96932b18098666562a4, 0xbd71f2c2ea600d38d4f3d4ea6f549f, 0x004256], + ), + F::from_limbs( + [0x00ee8af06f8295cd4e7f66999a9d5d, 0xe9e136da92e82601031434b768b0b4, 0x003196], + ), + F::from_limbs( + [0x38d17454846f3841f49d74735570ea, 0x165fbd58c5a8755dc5938773609f0e, 0x0003ed], + ), + F::from_limbs( + [0x84d28eab79ecc6be0b628a8caa8f17, 0x90f36c44b79fbddc1274822e776645, 0x007000], + ), + F::from_limbs( + [0xfcb916c626e0e9bc29f6173ab70b65, 0x3d073a9c55cdd85ea2235bfe4d4804, 0x005b5b], + ), + F::from_limbs( + [0xc0eaec39d77b1543d609e7c548f49c, 0x6a4bef01277a5adb35e4ada38abd4e, 0x001892], + ), + F::from_limbs( + [0xc37b9a1dfaaf4193724cef26d4b27a, 0x9c2994f61e115e9f0991476ba4f346, 0x004ae3], + ), + F::from_limbs( + [0xfa2868e203acbd6c8db30fd92b4d87, 0x0b2994a75f36d49ace76c23633120c, 0x00290a], + ), + F::from_limbs( + [0x377a276c1c5329c1018e5e8284261e, 0xd80ac1ce9fe1755c33da05a269c910, 0x0053fd], + ), + F::from_limbs( + [0x8629db93e208d53efe71a07d7bd9e3, 0xcf4867cedd66bddda42e03ff6e3c43, 0x001fef], + ), + F::from_limbs( + [0x45dc24dbfdb880c6163bc865dd8bfa, 0x904b30cf1672d3253aaf3beeedf700, 0x0032fe], + ), + F::from_limbs( + [0x77c7de2400a37e39e9c4369a227407, 0x1707f8ce66d560149d58cdb2ea0e53, 0x0040ef], + ), + F::from_limbs( + [0xba16207a4ed9735b36b24c6dd788a9, 0x460aee018137df4643f06e17e34196, 0x001af7], + ), + F::from_limbs( + [0x038de285af828ba4c94db292287758, 0x61483b9bfc1053f394179b89f4c3bd, 0x0058f6], + ), + F::from_limbs( + [0x5051b124a48d44acceb7bbce4cc395, 0x49a9f4f29b3a002bc0adb6fdc0f664, 0x006fcb], + ), + F::from_limbs( + [0x6d5251db59ceba5331484331b33c6c, 0x5da934aae20e330e175a52a4170eef, 0x000422], + ), + F::from_limbs( + [0xdce6f23222f777c94bdd9d3ac706d2, 0x815b057415a7e25cd2e9271b27153d, 0x000455], + ), + F::from_limbs( + [0xe0bd10cddb648736b42261c538f92f, 0x25f8242967a050dd051ee286b0f015, 0x006f98], + ), + F::from_limbs( + [0x66373acc16d886ceddaf21e77fc517, 0xa9919ec5166a85cf008f30e27fbec0, 0x0010b0], + ), + F::from_limbs( + [0x576cc833e78378312250dd18803aea, 0xfdc18ad866ddad6ad778d8bf584693, 0x00633c], + ), + F::from_limbs( + [0xcf5dfbcdebe183e6e206d7bdffab49, 0x14f3cf6874649b5de195f3b709f16f, 0x000d09], + ), + F::from_limbs( + [0xee460732127a7b191df927420054b8, 0x925f5a3508e397dbf67215eace13e3, 0x0066e4], + ), + F::from_limbs( + [0x620e2e04af3cb774d607ae86c135cd, 0x379a5ac72106a7f3d9eeeea2803ed8, 0x002032], + ), + F::from_limbs( + [0x5b95d4fb4f1f478b29f850793eca34, 0x6fb8ced65c418b45fe191aff57c67b, 0x0053bb], + ), + F::from_limbs( + [0xbe8983b787f09a3fda16b703ae79d7, 0xc42675dd613b3489b26bb21f6c258f, 0x0056da], + ), + F::from_limbs( + [0xff1a7f48766b64c025e947fc51862a, 0xe32cb3c01c0cfeb0259c57826bdfc3, 0x001d12], + ), + F::from_limbs( + [0x4e939154c03c580acc2b5ef5216f61, 0x9334769b3974daaf8d6debc056151e, 0x001ead], + ), + F::from_limbs( + [0x6f1071ab3e1fa6f533d4a00ade90a0, 0x141eb30243d3588a4a9a1de181f035, 0x005540], + ), + F::from_limbs( + [0x6b31e32115dd92996c19a5568c67f4, 0x5347f1132f4d1e57fcce6b05f90380, 0x0036c7], + ), + F::from_limbs( + [0x52721fdee87e6c6693e659a973980d, 0x540b388a4dfb14e1db399e9bdf01d3, 0x003d26], + ), + F::from_limbs( + [0xf2bdccb70a6ef709cbca5b7a65aab2, 0xbd04f7f6b469d3ddff14a41bbd9dd2, 0x0036f1], + ), + F::from_limbs( + [0xcae63648f3ed07f63435a3859a554f, 0xea4e31a6c8de5f5bd8f365861a6780, 0x003cfb], + ), + F::from_limbs( + [0x66f13b1ab5685cd8cdc7146b807204, 0x9469afda287a4012a1a3ae0c60acc9, 0x004fd2], + ), + F::from_limbs( + [0x56b2c7e548f3a2273238ea947f8dfd, 0x12e979c354cdf32736645b9577588a, 0x00241b], + ), + F::from_limbs( + [0x7853b66b61d5200372e53f548f8ce3, 0x87ce2ad498442d5e019288a337976e, 0x003b03], + ), + F::from_limbs( + [0x45504c949c86defc8d1abfab70731e, 0x1f84fec8e50405dbd67580fea06de5, 0x0038ea], + ), + F::from_limbs( + [0x70bff3af461bc0ca31c421a753efa0, 0xa63dfd84ffaec090ac87917778335b, 0x0056b5], + ), + F::from_limbs( + [0x4ce40f50b8403e35ce3bdd58ac1061, 0x01152c187d9972a92b80782a5fd1f8, 0x001d38], + ), + F::from_limbs( + [0xc5373ec9c8343b1e4ca4d8ce229e36, 0x5d229a04387d9c5d5a214d0488f0ef, 0x00455e], + ), + F::from_limbs( + [0xf86cc4363627c3e1b35b2631dd61cb, 0x4a308f9944ca96dc7de6bc9d4f1463, 0x002e8f], + ), + F::from_limbs( + [0x5dcdee102c3ba87f2f48f3eb5d88d3, 0xa72bf8109fde405a5c49fdd0824580, 0x0013de], + ), + F::from_limbs( + [0x5fd614efd2205680d0b70b14a2772e, 0x0027318cdd69f2df7bbe0bd155bfd3, 0x00600f], + ), + F::from_limbs( + [0xd2826073fe1c3d9541142e4bebfa33, 0x8b9ab81f31622738fb770b6f7db0fd, 0x006321], + ), + F::from_limbs( + [0xeb21a28c003fc16abeebd0b41405ce, 0x1bb8717e4be60c00dc90fe325a5455, 0x0010cc], + ), + F::from_limbs( + [0x2655a4f2a71153bc164249c8f6ae4c, 0xed9f7c0b36665bc1b21db066728eec, 0x00230a], + ), + F::from_limbs( + [0x974e5e0d574aab43e9bdb5370951b5, 0xb9b3ad9246e1d77825ea593b657667, 0x0050e2], + ), + F::from_limbs( + [0x47c28ba9fd6add445358152fe9e30e, 0x4d75bff8bc844cda745819c6a69193, 0x000182], + ), + F::from_limbs( + [0x75e1775600f121bbaca7e9d0161cf3, 0x59dd69a4c0c3e65f63afefdb3173c0, 0x00726b], + ), + F::from_limbs( + [0xeccbd814da06896454b1247b57539e, 0xde70f6f89e7b9b7862421542c6ade1, 0x002cc2], + ), + F::from_limbs( + [0xd0d82aeb2455759bab4eda84a8ac63, 0xc8e232a4decc97c175c5f45f115771, 0x00472a], + ), + F::from_limbs( + [0x94d9614b087f3c1980045ae4b78723, 0xd97a1ce103e07e6e65b246bd533015, 0x0044dd], + ), + F::from_limbs( + [0x28caa1b4f5dcc2e67ffba41b4878de, 0xcdd90cbc7967b4cb7255c2e484d53e, 0x002f0f], + ), + F::from_limbs( + [0x51fbc98b29ffba9c5a4354bbba58aa, 0x3cb2c5f57ea5b26b1d49f27a08e557, 0x003f3d], + ), + F::from_limbs( + [0x6ba83974d45c4463a5bcaa4445a757, 0x6aa063a7fea280cebabe1727cf1ffc, 0x0034b0], + ), + F::from_limbs( + [0x61db1d1b9c0b08cb773551758ecaa4, 0xe37eb8a506acf1f91c7b55db3a8be4, 0x00593a], + ), + F::from_limbs( + [0x5bc8e5e46250f63488caad8a71355d, 0xc3d470f8769b4140bb8cb3c69d796f, 0x001ab2], + ), + F::from_limbs( + [0x444d8a302c8da96e37bfb94751e58e, 0x6690ae243ef976f6b24227dd5cb253, 0x005ec0], + ), + F::from_limbs( + [0x795678cfd1ce5591c84045b8ae1a73, 0x40c27b793e4ebc4325c5e1c47b5300, 0x00152d], + ), + F::from_limbs( + [0x3dfdc600984107cda32780a77f8f5f, 0xa1529986e0edb5dd9e2d3dd12687a9, 0x002eb2], + ), + F::from_limbs( + [0x7fa63cff661af7325cd87e588070a2, 0x060090169c5a7d5c39dacbd0b17daa, 0x00453b], + ), + F::from_limbs( + [0x2489344a456b47cae21e3bd7150af7, 0xea05243f47f6f7db687fb68d902acb, 0x005750], + ), + F::from_limbs( + [0x991aceb5b8f0b7351de1c328eaf50a, 0xbd4e055e35513b5e6f88531447da88, 0x001c9c], + ), + F::from_limbs( + [0xca05a65a819a818d65f283960c64f6, 0xfcc67803f85a9d91f530887530a761, 0x004c36], + ), + F::from_limbs( + [0xf39e5ca57cc17d729a0d7b69f39b0b, 0xaa8cb19984ed95a7e2d7812ca75df1, 0x0027b6], + ), + F::from_limbs( + [0x5c3a002f47ebc42d07692bea45f396, 0xa5fa42eabba5613a5c9f9b3231c3b6, 0x007192], + ), + F::from_limbs( + [0x616a02d0b6703ad2f896d315ba0c6b, 0x0158e6b2c1a2d1ff7b686e6fa6419d, 0x00025b], + ), + F::from_limbs( + [0xeceaad029bec7ce943f9b1660bb1a9, 0x59ff4eddaac6fee6711ca11606eba0, 0x001658], + ), + F::from_limbs( + [0xd0b955fd626f8216bc064d99f44e58, 0x4d53dabfd281345366eb688bd119b2, 0x005d95], + ), + F::from_limbs( + [0x218f1dd4394b56b4953e423b9c04e0, 0x87019792e16ae4979dbd6023b97478, 0x004970], + ), + F::from_limbs( + [0x9c14e52bc510a84b6ac1bcc463fb21, 0x2051920a9bdd4ea23a4aa97e1e90db, 0x002a7d], + ), + F::from_limbs( + [0x37f73343b719ecede15ecd60b3df65, 0x624c06087cb6ad30ccd8f447ed080a, 0x0059ba], + ), + F::from_limbs( + [0x85accfbc474212121ea1319f4c209c, 0x45072395009186090b2f1559eafd49, 0x001a33], + ), + F::from_limbs( + [0x467cc6e972110032c5ece8b055e8a9, 0x62d2f2b315a015393dcc435c95bf3a, 0x000274], + ), + F::from_limbs( + [0x77273c168c4afecd3a13164faa1758, 0x448036ea67a81e009a3bc645424619, 0x007179], + ), + F::from_limbs( + [0xc2941dbdeb3eff86bbc2821a7c954d, 0x4e5fe188f49e4f87f802ec2872f93e, 0x0043c8], + ), + F::from_limbs( + [0xfb0fe542131cff79443d7ce5836ab4, 0x58f3481488a9e3b1e0051d79650c14, 0x003025], + ), + F::from_limbs( + [0x5315b31507ceb8d2aa93f770b9c8e1, 0x9106ee3a43fd12880e5eefdbae2ab6, 0x004b9b], + ), + F::from_limbs( + [0x6a8e4feaf68d462d556c078f463720, 0x164c3b63394b20b1c9a919c629da9d, 0x002852], + ), + F::from_limbs( + [0xcbd2211181fe944077e77ff3104df5, 0xaa51988e575837557c3b5ebdfea8e8, 0x0060c6], + ), + F::from_limbs( + [0xf1d1e1ee7c5d6abf88187f0cefb20c, 0xfd01910f25effbe45bccaae3d95c6a, 0x001326], + ), + F::from_limbs( + [0xe7ea60eb7cbec10bffa78086fdf997, 0xf61c4bca67ebd5e3fdd1c6dc2cea86, 0x005f7c], + ), + F::from_limbs( + [0xd5b9a214819d3df400587e7902066a, 0xb136ddd3155c5d55da3642c5ab1acc, 0x001470], + ), + F::from_limbs( + [0xade32f51e3b92db7b324b4eaa555a9, 0xf91f5315f9552e1b95e6b724cde4ee, 0x0008b5], + ), + F::from_limbs( + [0x0fc0d3ae1aa2d1484cdb4a155aaa58, 0xae33d68783f3051e4221527d0a2065, 0x006b37], + ), + F::from_limbs( + [0xf8a4660d27320008b429fd878ffa9e, 0x7d7b53ab5425e3b013ebe22d4afdb4, 0x003702], + ), + F::from_limbs( + [0xc4ff9cf2d729fef74bd60178700563, 0x29d7d5f229224f89c41c27748d079e, 0x003ceb], + ), + F::from_limbs( + [0xd3a1081b7dc34879cad7e40b802754, 0xb1694de1defdc9b305be4031baafd7, 0x004d4c], + ), + F::from_limbs( + [0xea02fae48098b68635281af47fd8ad, 0xf5e9dbbb9e4a6986d249c9701d557b, 0x0026a0], + ), + F::from_limbs( + [0xbb4de382da6cec9b679276f6e92cd5, 0x81b1b3b9f48d763ed728d201436845, 0x004de2], + ), + F::from_limbs( + [0x02561f7d23ef1264986d880916d32c, 0x25a175e388babcfb00df37a0949d0e, 0x00260b], + ), + F::from_limbs( + [0xfea794c0e0d6b46940f19dbc185b43, 0xe9cede62c18b938f1b083fb184c56e, 0x000168], + ), + F::from_limbs( + [0xbefc6e3f1d854a96bf0e6143e7a4be, 0xbd844b3abbbc9faabcffc9f0533fe4, 0x007284], + ), + F::from_limbs( + [0xadf465bebef8ccebfad58878130b3d, 0xc395d5f911b303cec6f905265aae1a, 0x00446a], + ), + F::from_limbs( + [0x0faf9d413f633214052a7687ecf4c4, 0xe3bd53a46b952f6b110f047b7d5739, 0x002f82], + ), + F::from_limbs( + [0x9f1ddab1d4fa82932aebc0965a4202, 0xf36fa2b47ddb5a73c6e65398047a50, 0x000364], + ), + F::from_limbs( + [0x1e86284e29617c6cd5143e69a5bdff, 0xb3e386e8ff6cd8c61121b609d38b03, 0x007088], + ), + F::from_limbs( + [0xc769faa4402f293c314964fd4408c9, 0x849c98537bacc5b2f69cad1dade64b, 0x00177b], + ), + F::from_limbs( + [0xf63a085bbe2cd5c3ceb69a02bbf738, 0x22b6914a019b6d86e16b5c842a1f07, 0x005c72], + ), + F::from_limbs( + [0x79365f811d5769926a3c0cfe4005c3, 0x79a31835c7e2ccb2e5196d0deb2ba5, 0x003864], + ), + F::from_limbs( + [0x446da37ee104956d95c3f201bffa3e, 0x2db01167b5656686f2ee9c93ecd9ae, 0x003b89], + ), + F::from_limbs( + [0x6df44639124f2ba81be6d8edda7638, 0x668413c019df4374af12eabf982893, 0x006f87], + ), + F::from_limbs( + [0x4fafbcc6ec0cd357e41926122589c9, 0x40cf15dd6368efc528f51ee23fdcc0, 0x000466], + ), + F::from_limbs( + [0x43a907c09f060427d329827aa98fff, 0xb856c1b52cf9492d043c2e74cf231b, 0x00354b], + ), + F::from_limbs( + [0x79fafb3f5f55fad82cd67c85567002, 0xeefc67e8504eea0cd3cbdb2d08e238, 0x003ea1], + ), + F::from_limbs( + [0xb9bf92bae7e7fe896a2d7f2d01187c, 0x0f53d6c54c0941a9861e5c72b0d523, 0x000277], + ), + F::from_limbs( + [0x03e470451674007695d27fd2fee785, 0x97ff52d8313ef19051e9ad2f273030, 0x007176], + ), + F::from_limbs( + [0x1b0da0ac3997d798ff94a498f96017, 0x732533ddaf1a10b0beb4fee8a1769d, 0x006801], + ), + F::from_limbs( + [0xa2966253c4c42767006b5a67069fea, 0x342df5bfce2e228919530ab9368eb6, 0x000bec], + ), + F::from_limbs( + [0x26c30fdbf9ba3500c4ee9032afcc94, 0x105c8329a6955caccf15dda0d8ad03, 0x002fff], + ), + F::from_limbs( + [0x96e0f32404a1c9ff3b116ecd50336d, 0x96f6a673d6b2d68d08f22c00ff5850, 0x0043ee], + ), + F::from_limbs( + [0x236a92397b76349a0f0a5f9fbb73b7, 0x6e8046dfa7d7b0dba6fd299e303d1d, 0x000cc2], + ), + F::from_limbs( + [0x9a3970c682e5ca65f0f59f60448c4a, 0x38d2e2bdd570825e310ae003a7c836, 0x00672b], + ), + F::from_limbs( + [0x3b84c03955634d9dafd3593bc10665, 0x7aa88f051d3d6e47e7481dbd70b738, 0x004f3a], + ), + F::from_limbs( + [0x821f42c6a8f8b162502ca5c43ef99c, 0x2caa9a98600ac4f1f0bfebe4674e1b, 0x0024b3], + ), + F::from_limbs( + [0x0a98ca924c9853cdf99d946705e265, 0xb82069c37ab55ff8776e9d4b000112, 0x002b67], + ), + F::from_limbs( + [0xb30b386db1c3ab3206626a98fa1d9c, 0xef32bfda0292d34160996c56d80441, 0x004885], + ), + F::from_limbs( + [0x50631ef088678db03b789302413b7c, 0xcd6afbf40e773e053844b1d7c4c0ec, 0x00455e], + ), + F::from_limbs( + [0x6d40e40f75f4714fc4876bfdbec485, 0xd9e82da96ed0f5349fc357ca134467, 0x002e8e], + ), + F::from_limbs( + [0x1279da43e3f45b1ede5de981ebf8f8, 0xce9f04a28d115ecc4f16874611b142, 0x000db4], + ), + F::from_limbs( + [0xab2a28bc1a67a3e121a2157e140709, 0xd8b424faf036d46d88f1825bc65411, 0x006638], + ), + F::from_limbs( + [0x91e47e376c2e5b6ff7d691b3198b23, 0xe821190696fc5d6ecc9a8405e05629, 0x005133], + ), + F::from_limbs( + [0x2bbf84c8922da39008296d4ce674de, 0xbf321096e64bd5cb0b6d859bf7af2a, 0x0022b9], + ), + F::from_limbs( + [0xc528e11bb8f362bbb3efec893f294f, 0x10302a2f39be6d2099caa9324c56d8, 0x005679], + ), + F::from_limbs( + [0xf87b21e445689c444c101276c0d6b2, 0x9722ff6e4389c6193e3d606f8bae7a, 0x001d74], + ), + F::from_limbs( + [0xd83c84ed265e50977e9c4587dfe508, 0x739e84003bec789aed56b517a468ea, 0x000076], + ), + F::from_limbs( + [0xe5677e12d7fdae688163b978201af9, 0x33b4a59d415bba9eeab1548a339c68, 0x007377], + ), + F::from_limbs( + [0x235c660dcd47d87bf14d05ce8047ea, 0xef848d536f6afc0071a614f0a4770c, 0x00643c], + ), + F::from_limbs( + [0x9a479cf2311426840eb2f9317fb817, 0xb7ce9c4a0ddd37396661f4b1338e47, 0x000fb0], + ), + F::from_limbs( + [0x7f1ed0313f9e0fe150bea48f8d1dea, 0xe117dc9238c29fb9c14a0e4d763a00, 0x0024c9], + ), + F::from_limbs( + [0x3e8532cebebdef1eaf415a7072e217, 0xc63b4d0b4485938016bdfb5461cb53, 0x004f23], + ), + F::from_limbs( + [0x81791f3a6308454c51bb17349f0783, 0xe041d03cc117b367e019a720931783, 0x001d2d], + ), + F::from_limbs( + [0x3c2ae3c59b53b9b3ae44e7cb60f87e, 0xc7115960bc307fd1f7ee628144edd0, 0x0056bf], + ), + F::from_limbs( + [0xc3ba13d252c0e88f18500f83965a8e, 0x641539037f771f1b83b02e67527a4d, 0x0055b6], + ), + F::from_limbs( + [0xf9e9ef2dab9b1670e7afef7c69a573, 0x433df099fdd1141e5457db3a858b05, 0x001e37], + ), + F::from_limbs( + [0x5502a77ae6332fa6600254a7d754be, 0x4cdc36f88410f5d7bfef36de3b7834, 0x00027e], + ), + F::from_limbs( + [0x68a15b851828cf599ffdaa5828ab43, 0x5a76f2a4f9373d621818d2c39c8d1f, 0x00716f], + ), + F::from_limbs( + [0x8d41cd7ab1753ea7303c63152c1640, 0x4a2297423679aee4b37190faa6c7d5, 0x004f91], + ), + F::from_limbs( + [0x306235854ce6c058cfc39bead3e9c1, 0x5d30925b46ce8455249678a7313d7e, 0x00245c], + ), + F::from_limbs( + [0x87cba345c1658b64271241619da532, 0x46ae7297a21a8f4310cd2220399c88, 0x0037d2], + ), + F::from_limbs( + [0x35d85fba3cf6739bd8edbd9e625acf, 0x60a4b705db2da3f6c73ae7819e68cb, 0x003c1b], + ), + F::from_limbs( + [0x2651d853c9eca95343e645167ee188, 0x1331dca429aad2f2eb5255c656c902, 0x00258b], + ), + F::from_limbs( + [0x97522aac346f55acbc19b9e9811e79, 0x94214cf9539d6046ecb5b3db813c51, 0x004e62], + ), + F::from_limbs( + [0x5390d0e60bdfb3b93907b7592ea586, 0xe4164e07f2ab58063db3959fe0ef23, 0x003596], + ), + F::from_limbs( + [0x6a133219f27c4b46c6f847a6d15a7b, 0xc33cdb958a9cdb339a547401f71630, 0x003e56], + ), + F::from_limbs( + [0xb8b209e98b7e0f2fa61198c7de7bd4, 0x75e0a5e4145fb34bad5f4e9cfdb6f3, 0x003811], + ), + F::from_limbs( + [0x04f1f91672ddefd059ee663821842d, 0x317283b968e87fee2aa8bb04da4e60, 0x003bdc], + ), + F::from_limbs( + [0x6e76cf4f775ba9242cce972bd82d65, 0x812b15a0625c3583f1f0c36ae9d2f5, 0x0011d0], + ), + F::from_limbs( + [0x4f2d33b0870055dbd33167d427d29c, 0x262813fd1aebfdb5e6174636ee325e, 0x00621d], + ), + F::from_limbs( + [0x7524de9c02b81cf5045a21462659cf, 0x5fa6f3c3db8efc130759d8cd8c1f9d, 0x0017bf], + ), + F::from_limbs( + [0x487f2463fba3e20afba5ddb9d9a632, 0x47ac35d9a1b93726d0ae30d44be5b6, 0x005c2e], + ), + F::from_limbs( + [0x66175e422e5e04509c353c559ce0e4, 0xc2a34bbcc1de81c01f6a38e43c7150, 0x0028ff], + ), + F::from_limbs( + [0x578ca4bdcffdfaaf63cac2aa631f1d, 0xe4afdde0bb69b179b89dd0bd9b9403, 0x004aed], + ), + F::from_limbs( + [0xc17fed2efa16c0bf255236c073301f, 0x95c68591a521990ffbee982e626b47, 0x00713f], + ), + F::from_limbs( + [0xfc2415d104453e40daadc83f8ccfe2, 0x118ca40bd8269a29dc197173759a0b, 0x0002ae], + ), + F::from_limbs( + [0x37692cb91745a591e0a5ec1dbb4517, 0x2b1236ce1f78bd6f986d418b46797f, 0x006418], + ), + F::from_limbs( + [0x863ad646e716596e1f5a12e244baea, 0x7c40f2cf5dcf75ca3f9ac816918bd4, 0x000fd5], + ), + F::from_limbs( + [0x743adadff7878293e97ac2c7bf5f23, 0x47fe2645c3ccca5cf55c4cee43e80b, 0x005d20], + ), + F::from_limbs( + [0x4969282006d47c6c16853c3840a0de, 0x5f550357b97b68dce2abbcb3941d48, 0x0016cd], + ), + F::from_limbs( + [0x1f5b434515524094eb42b26bd7cec8, 0x5d84c1e11520848c1259d579deff61, 0x006ae4], + ), + F::from_limbs( + [0x9e48bfbae909be6b14bd4c94283139, 0x49ce67bc6827aeadc5ae3427f905f2, 0x000909], + ), + F::from_limbs( + [0x7a83f4b3620a8bc1ab543280174b65, 0x4fe4101d764247b839b40665b9ab31, 0x004d4e], + ), + F::from_limbs( + [0x43200e4c9c51733e54abcc7fe8b49c, 0x576f19800705eb819e54033c1e5a22, 0x00269f], + ), + F::from_limbs( + [0x16e6f88f393313659ed34f1ba7c758, 0x479f6d036dbe156e6d5f1cd1d95835, 0x004f05], + ), + F::from_limbs( + [0xa6bd0a70c528eb9a612cafe45838a9, 0x5fb3bc9a0f8a1dcb6aa8eccffead1e, 0x0024e8], + ), + F::from_limbs( + [0xb4744f8cf411c654449ec24eff1d4a, 0xae41472c7c0e590ce3fe74cee9cc36, 0x0061df], + ), + F::from_limbs( + [0x092fb3730a4a38abbb613cb100e2b7, 0xf911e2710139da2cf40994d2ee391d, 0x00120d], + ), + F::from_limbs( + [0x1b7ec3a436588065b8118cdf67b4c8, 0x457a8a468be812b6b2973fbcaa7c77, 0x003d49], + ), + F::from_limbs( + [0xa2253f5bc8037e9a47ee7220984b39, 0x61d89f56f16020832570c9e52d88dc, 0x0036a4], + ), + F::from_limbs( + [0x3412c9cd2a9b3731e9ab2413ce6403, 0x8dc1af53e39e07ae39bf50998fa407, 0x004686], + ), + F::from_limbs( + [0x89913932d3c0c7ce1654daec319bfe, 0x19917a4999aa2b8b9e48b90848614c, 0x002d67], + ), + F::from_limbs( + [0x89c1bd2dd357cf20f00f1e8819ff37, 0x2f0c9a6585b33115765c3d23d4949e, 0x003fb7], + ), + F::from_limbs( + [0x33e245d22b042fdf0ff0e077e600ca, 0x78468f37f795022461abcc7e0370b5, 0x003436], + ), + F::from_limbs( + [0xdd464b1c886d78042cef5c92e33195, 0x557b73b7e48b242355a680b717f586, 0x0025de], + ), + F::from_limbs( + [0xe05db7e375ee86fbd310a26d1cce6c, 0x51d7b5e598bd0f16826188eac00fcc, 0x004e0f], + ), + F::from_limbs( + [0xedf499ef3076be4475c4d42b7a4b38, 0x602954fc0ca6ba46042c3d326406d9, 0x0054de], + ), + F::from_limbs( + [0xcfaf6910cde540bb8a3b2ad485b4c9, 0x4729d4a170a178f3d3dbcc6f73fe79, 0x001f0f], + ), + F::from_limbs( + [0xfcd31b702dd686c47e6812cda15c19, 0xf2d45a69922bb0a0d0c53a6b502bef, 0x005861], + ), + F::from_limbs( + [0xc0d0e78fd085783b8197ec325ea3e8, 0xb47ecf33eb1c82990742cf3687d963, 0x001b8b], + ), + F::from_limbs( + [0x8425612ae7e671237bffd304e4fe50, 0xf9f2176adc1d48e923008e61d9c58e, 0x004067], + ), + F::from_limbs( + [0x397ea1d516758ddc84002bfb1b01b1, 0xad611232a12aea50b5077b3ffe3fc5, 0x003385], + ), + F::from_limbs( + [0xba411117fb1be0bb14f4f365c1b600, 0x58bcb55478df34740bade3183ade28, 0x000335], + ), + F::from_limbs( + [0x0362f1e803401e44eb0b0b9a3e4a01, 0x4e9674490468fec5cc5a26899d272b, 0x0070b8], + ), + F::from_limbs( + [0x9fcc4cdb6f0c10a87049c0b5897879, 0x9424325317c08c97b1f14e6a7312cd, 0x006329], + ), + F::from_limbs( + [0x1dd7b6248f4fee578fb63e4a768788, 0x132ef74a6587a6a22616bb3764f286, 0x0010c4], + ), + F::from_limbs( + [0x9f899703062de0d3baa1acb4e5b0f5, 0x090a68110f9092a633fc64cef521ba, 0x0065eb], + ), + F::from_limbs( + [0x1e1a6bfcf82e1e2c455e524b1a4f0c, 0x9e48c18c6db7a093a40ba4d2e2e399, 0x000e02], + ), + F::from_limbs( + [0xd96ff2cd8b2f2e472cb619daac4bd2, 0x0f2dbc497381f411d51f076e4466de, 0x00573a], + ), + F::from_limbs( + [0xe4341032732cd0b8d349e52553b42f, 0x98256d5409c63f2802e90233939e74, 0x001cb3], + ), + F::from_limbs( + [0xb84c544876a9c789aa8cb2686396ce, 0xa3313c8414b9bdb48d3a72566086b0, 0x006dbc], + ), + F::from_limbs( + [0x0557aeb787b2377655734c979c6933, 0x0421ed19688e75854acd974b777ea3, 0x000631], + ), + F::from_limbs( + [0xe7613894a9b5c86333defbe1eafec8, 0xecb3aff7822dc90fd38cadbdeab57e, 0x0051a0], + ), + F::from_limbs( + [0xd642ca6b54a6369ccc21031e150139, 0xba9f79a5fb1a6a2a047b5be3ed4fd4, 0x00224c], + ), + F::from_limbs( + [0xbd99d6f7d72c9825c9330c166c32b6, 0x656984a80d04d77f485529026c165c, 0x0008f3], + ), + F::from_limbs( + [0x000a2c08272f66da36ccf2e993cd4b, 0x41e9a4f570435bba8fb2e09f6beef7, 0x006afa], + ), + F::from_limbs( + [0x00ac7d231f0dcc77f716ad84ec3f4e, 0x66b749227bc79c2b526b533ce6736d, 0x001236], + ), + F::from_limbs( + [0xbcf785dcdf4e328808e9517b13c0b3, 0x409be07b0180970e859cb664f191e6, 0x0061b7], + ), + F::from_limbs( + [0x44df453062977b35a87e2790b1aa63, 0x70a52543032792c60337c3de194e28, 0x004ca4], + ), + F::from_limbs( + [0x78c4bdcf9bc483ca5781d76f4e559e, 0x36ae045a7a20a073d4d045c3beb72b, 0x002749], + ), + F::from_limbs( + [0x009c43f83b178b774638c79cf5dc1f, 0x3f6e8235ecae3905159358e0d38ebb, 0x0010c4], + ), + F::from_limbs( + [0xbd07bf07c3447388b9c737630a23e2, 0x67e4a7679099fa34c274b0c1047698, 0x006329], + ), + F::from_limbs( + [0x2a876351c2a2215759eb2f01eda387, 0xcb3d2bb78a0443275a5062c289ae5a, 0x0051ae], + ), + F::from_limbs( + [0x931c9fae3bb9dda8a614cffe125c7a, 0xdc15fde5f343f0127db7a6df4e56f9, 0x00223e], + ), + F::from_limbs( + [0xa8a3a7f2912453021ed75861bf15b2, 0xb5e368fea545ec1883b4b3c9abedbf, 0x0052cb], + ), + F::from_limbs( + [0x15005b0d6d37abfde128a69e40ea4f, 0xf16fc09ed8024721545355d82c1794, 0x002121], + ), + F::from_limbs( + [0x99bf3cadf47500466419f0acda4132, 0x0fab03bda4f931faf27e04e17cf31b, 0x004831], + ), + F::from_limbs( + [0x23e4c65209e6feb99be60e5325becf, 0x97a825dfd84f013ee58a04c05b1238, 0x002bbc], + ), + F::from_limbs( + [0x2af33beac6f68086ebdd53f2e05b8c, 0x18dfadf4968e6c38c06e52f5b19228, 0x003f52], + ), + F::from_limbs( + [0x92b0c71537657e791422ab0d1fa475, 0x8e737ba8e6b9c7011799b6ac26732b, 0x00349b], + ), + F::from_limbs( + [0x532ae018561e10623432bc97e66621, 0x7d758178f8009d3d7a7ff033103d20, 0x003c40], + ), + F::from_limbs( + [0x6a7922e7a83dee9dcbcd42681999e0, 0x29dda824854795fc5d88196ec7c833, 0x0037ad], + ), + F::from_limbs( + [0x5fdb8562ecaee38095506aaf2ed4e8, 0x40fa9e92971b3b44484802d2908ee1, 0x005327], + ), + F::from_limbs( + [0x5dc87d9d11ad1b7f6aaf9450d12b19, 0x66588b0ae62cf7f58fc006cf477672, 0x0020c6], + ), + F::from_limbs( + [0xc00587548157407cc2c1b551422388, 0x2433aacc79664fd54b05535ed75859, 0x0006c4], + ), + F::from_limbs( + [0xfd9e7bab7d04be833d3e49aebddc79, 0x831f7ed103e1e3648d02b64300acf9, 0x006d29], + ), + F::from_limbs( + [0xabf9af77e7e83655b9012175a8cc3b, 0xe87fd6b51c9c4226a334d73bebcb2b, 0x000b72], + ), + F::from_limbs( + [0x11aa53881673c8aa46fedd8a5733c6, 0xbed352e860abf11334d33265ec3a28, 0x00687a], + ), + F::from_limbs( + [0x1fbcdb53444abbab0181bccc152b72, 0xedc455355287c6bf314728f7672064, 0x0068e3], + ), + F::from_limbs( + [0x9de727acba114354fe7e4233ead48f, 0xb98ed4682ac06c7aa6c0e0aa70e4ef, 0x000b09], + ), + F::from_limbs( + [0x5603226dcddca5147d1e72d2b5d06e, 0xc12baea83c091f5a39e548082c8807, 0x0064a3], + ), + F::from_limbs( + [0x67a0e092307f59eb82e18c2d4a2f93, 0xe6277af5413f13df9e22c199ab7d4c, 0x000f49], + ), + F::from_limbs( + [0x2ed8500386c76648c8e50cb39616ec, 0xef6739da92bc569aa8da7c3ebc2a85, 0x005a31], + ), + F::from_limbs( + [0x8ecbb2fc779498b7371af24c69e915, 0xb7ebefc2ea8bdc9f2f2d8d631bdace, 0x0019bb], + ), + F::from_limbs( + [0xfe3a2e7b95c6469630cf3b08b533d4, 0x2a8f2e2a85919ad23e75d282b2d3b6, 0x006802], + ), + F::from_limbs( + [0xbf69d4846895b869cf30c3f74acc2d, 0x7cc3fb72f7b698679992371f25319c, 0x000beb], + ), + F::from_limbs( + [0xcae90dfb3c0064c6123fa45fb28c2e, 0xd4cb52a34e3d7519670d09634336d4, 0x0023ce], + ), + F::from_limbs( + [0xf2baf504c25b9a39edc05aa04d73d3, 0xd287d6fa2f0abe2070fb003e94ce7e, 0x00501e], + ), + F::from_limbs( + [0x5ca0f385906331980144927341bf91, 0xe145a4a45855dd7ae283294477734f, 0x006964], + ), + F::from_limbs( + [0x61030f7a6df8cd67febb6c8cbe4070, 0xc60d84f924f255bef584e05d609204, 0x000a88], + ), + F::from_limbs( + [0xa47df0bc824e8ea22755dfe7bb9750, 0xfb32f90ffda0d607ced8ce69bc11a9, 0x0046cf], + ), + F::from_limbs( + [0x192612437c0d705dd8aa1f184468b1, 0xac20308d7fa75d32092f3b381bf3aa, 0x002d1d], + ), + F::from_limbs( + [0xec958cdc54a63cc7a96c1c03278845, 0x14461e4a1131fa3b366dda348f3893, 0x000791], + ), + F::from_limbs( + [0xd10e7623a9b5c2385693e2fcd877bc, 0x930d0b536c1638fea19a2f6d48ccbf, 0x006c5c], + ), + F::from_limbs( + [0xb5abf8c3e544b7cec40dd9d4019abd, 0xe3e21a204627ca43fa39cf3715caad, 0x002b0f], + ), + F::from_limbs( + [0x07f80a3c191747313bf2252bfe6544, 0xc3710f7d372068f5ddce3a6ac23aa6, 0x0048dd], + ), + F::from_limbs( + [0x40722db5a2fdf30997af02bca933c9, 0x56c300383c82d6ab35ba4d5db3f1f7, 0x00688a], + ), + F::from_limbs( + [0x7d31d54a5b5e0bf66850fc4356cc38, 0x5090296540c55c8ea24dbc4424135c, 0x000b63], + ), + F::from_limbs( + [0x564fcbc247d6d6ac9cc344a8cfff5a, 0xeb803c23772e9c6afb16ff55ea304f, 0x004b12], + ), + F::from_limbs( + [0x6754373db6852853633cba573000a7, 0xbbd2ed7a061996cedcf10a4bedd504, 0x0028da], + ), + F::from_limbs( + [0xcdd1364d8cfacb93f88bc67b7b3721, 0x665f2b83a6deb7fdceb13345570e65, 0x0022a4], + ), + F::from_limbs( + [0xefd2ccb27161336c0774388484c8e0, 0x40f3fe19d6697b3c0956d65c80f6ed, 0x005149], + ), + F::from_limbs( + [0x0e9d35b6ed76adf7713ef284c069ff, 0xcf43948b469bcd431486dfe074f000, 0x002d69], + ), + F::from_limbs( + [0xaf06cd4910e551088ec10c7b3f9602, 0xd80f951236ac65f6c38129c1631553, 0x004683], + ), + F::from_limbs( + [0x67d80e0380c9dd297e9abd55f848ed, 0x70bfd3999432941131a1638c47aaf6, 0x002ffb], + ), + F::from_limbs( + [0x55cbf4fc7d9221d6816541aa07b714, 0x36935603e9159f28a666a615905a5d, 0x0043f2], + ), + F::from_limbs( + [0x8032cefe4d368500c64cd40384f439, 0xe7910a9571c7e580abd9bdea663091, 0x001d7f], + ), + F::from_limbs( + [0x3d713401b12579ff39b32afc7b0bc8, 0xbfc21f080b804db92c2e4bb771d4c2, 0x00566d], + ), + F::from_limbs( + [0x121d901c68c49123c031d18d8c2649, 0xd8bc987365098ce1593a825ad83ef5, 0x006fc8], + ), + F::from_limbs( + [0xab8672e395976ddc3fce2d7273d9b8, 0xce96912a183ea6587ecd8746ffc65e, 0x000424], + ), + F::from_limbs( + [0xe9d91c5935fd49f4b6cc71968e9630, 0xab942a7f28f2aeb5acc56ef4dd0686, 0x003414], + ), + F::from_limbs( + [0xd3cae6a6c85eb50b49338d697169d1, 0xfbbeff1e545584842b429aacfafecc, 0x003fd8], + ), + F::from_limbs( + [0x40d3a6dad17cfb58253c958a750acb, 0xd11e6709e3150b19cc92362eeaac79, 0x00503d], + ), + F::from_limbs( + [0x7cd05c252cdf03a7dac369758af536, 0xd634c2939a3328200b75d372ed58da, 0x0023af], + ), + F::from_limbs( + [0x25871b96c0742e75161473966a53f7, 0x032dedb0b892480e75bd26e4e2ccb3, 0x000e42], + ), + F::from_limbs( + [0x981ce7693de7d08ae9eb8b6995ac0a, 0xa4253becc4b5eb2b624ae2bcf538a0, 0x0065ab], + ), + F::from_limbs( + [0x309054dce40022360156e8b623013e, 0xbaeda02a6ff092a7ec5a61b18bafed, 0x003381], + ), + F::from_limbs( + [0x8d13ae231a5bdcc9fea91649dcfec3, 0xec6589730d57a091ebada7f04c5566, 0x00406b], + ), + F::from_limbs( + [0xa9d4bab0b502dd86edbea447c942d5, 0x0a33a25ac40a26f8483151cc7c8088, 0x0060a2], + ), + F::from_limbs( + [0x13cf484f4959217912415ab836bd2c, 0x9d1f8742b93e0c418fd6b7d55b84cb, 0x00134b], + ), + F::from_limbs( + [0x269bddbc2b9df4ce9a534745bfd613, 0xeb58904936dbdf2b8960761678b86c, 0x001fa4], + ), + F::from_limbs( + [0x97082543d2be0a3165acb7ba4029ee, 0xbbfa9954466c540e4ea7938b5f4ce7, 0x005448], + ), + F::from_limbs( + [0xc4c8739d4475765bf0e8fec7a9af22, 0xd3a3929c4bb36342213767f33397b9, 0x002c4c], + ), + F::from_limbs( + [0xf8db8f62b9e688a40f1700385650df, 0xd3af97013194cff7b6d0a1aea46d99, 0x0047a0], + ), + F::from_limbs( + [0x8c7a99da8938647073084001146f23, 0x948861351141f0f5093f56be4518ad, 0x000b04], + ), + F::from_limbs( + [0x3129692575239a8f8cf7befeeb90de, 0x12cac8686c064244cec8b2e392eca6, 0x0068e9], + ), + F::from_limbs( + [0xab88365b6035748de74346b283c145, 0xa824ff74aa74280674d32da105c40d, 0x004f97], + ), + F::from_limbs( + [0x121bcca49e268a7218bcb84d7c3ebc, 0xff2e2a28d2d40b336334dc00d24146, 0x002455], + ), + F::from_limbs( + [0x76d28a9be629fb69e5dad127abcc9f, 0x7efc6393c8cfe857780d4fc57e7f03, 0x003ad2], + ), + F::from_limbs( + [0x46d17864183203961a252dd8543362, 0x2856c609b4784ae25ffab9dc598650, 0x00391b], + ), ]; diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr index a2391037447a..4320ae1f772a 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/unconstrained_config.nr @@ -1,17 +1,18 @@ -use bigint::{bignum::{BigNum, BigNumTrait}, fields::bls12_381Fr::BLS12_381_Fr_Params}; +use bigint::{bignum::BigNum, fields::bls12_381Fr::BLS12_381_Fr as F}; use types::constants::FIELDS_PER_BLOB; // TODO(#9982): Delete this file and go back to using config.nr - calculating ROOTS in unconstrained is insecure. -pub type F = BigNum<3, 255, BLS12_381_Fr_Params>; - pub global LOG_FIELDS_PER_BLOB: u32 = 12; pub global EXTRA_FIELDS_PER_BLOB: u32 = 16; // 16 = floor(4096 FIELDS_PER_BLOB / 254 noir_field_bits), wasting only 32 bits. pub global NOIR_FIELDS_PER_BLOB: u32 = FIELDS_PER_BLOB + EXTRA_FIELDS_PER_BLOB; pub global FIELDS_CARRYING_AN_EXTRA_BIT_PER_BLOB: u32 = EXTRA_FIELDS_PER_BLOB * 254; // EXTRA_FIELDS_PER_BLOB * 254 = 4064. So the first 4064 bls Fr fields in the blob will carry an extra bit in their 255th bit position, that will be used to reconstitute 16 extra fields. -pub global D: F = BigNum { limbs: [4096, 0, 0] }; -pub global D_INV: F = - BigNum { limbs: [0x686828bfce5c19400fffff00100001, 0x6878b46ae3705eb6a46a89213de7d3, 0x73e6] }; +pub global D: F = F::from_limbs([4096, 0, 0]); +pub global D_INV: F = F::from_limbs([ + 0x686828bfce5c19400fffff00100001, + 0x6878b46ae3705eb6a46a89213de7d3, + 0x73e6, +]); unconstrained fn compute_level(idx_: u32) -> u32 { // Count the number of trailing ones. @@ -81,8 +82,8 @@ unconstrained fn bit_reversal_permutation(arr: [F; FIELDS_PER_BLOB]) -> [F; FIEL // x ^ i for i in 0..4096 unconstrained fn compute_powers(x: F) -> [F; FIELDS_PER_BLOB] { - let mut powers: [F; FIELDS_PER_BLOB] = [BigNum::zero(); FIELDS_PER_BLOB]; - let mut current_power: F = BigNum::one(); + let mut powers: [F; FIELDS_PER_BLOB] = [F::zero(); FIELDS_PER_BLOB]; + let mut current_power: F = F::one(); for i in 0..FIELDS_PER_BLOB { powers[i] = current_power; current_power = current_power.__mul(x); @@ -96,9 +97,11 @@ pub unconstrained fn compute_roots_of_unity() -> [F; FIELDS_PER_BLOB] { // let exp = BLS_MODULUS_SUB_1.udiv_mod(order); // let exp: F = BigNum { limbs: [ 0x553bda402fffe5bfeffffffff00000, 0x3eda753299d7d483339d80809a1d80, 0x000007 ] }; // (MODULUS - 1) // 4096 // let root_of_unity = PRIMITIVE_ROOT_OF_UNITY.__pow(exp); - let root_of_unity: F = BigNum { - limbs: [0xd1347b378fbf96e206da11a5d36306, 0x0a11a0f704f4fc3e8acfe0f8245f0a, 0x00564c], - }; + let root_of_unity: F = F::from_limbs([ + 0xd1347b378fbf96e206da11a5d36306, + 0x0a11a0f704f4fc3e8acfe0f8245f0a, + 0x00564c, + ]); let mut roots_of_unity = compute_powers(root_of_unity); bit_reversal_permutation(roots_of_unity) // bit_reversal_permutation(&mut roots_of_unity); From 58da20bd8990893e8eb329a09a53323535077f38 Mon Sep 17 00:00:00 2001 From: Miranda Wood Date: Tue, 3 Jun 2025 09:54:48 +0100 Subject: [PATCH 03/11] feat: blob batching methods (#13583) Note: merging ts methods into this branch because many nr tests use the same inputs and process as the ts versions. It's useful (to me!) to have them side by side in the same branch. Hopefully it's not too difficult to review - the new unreviewed files in this PR are .nr code only, ignore all .ts. If that's not useful, I can recommit the ts files to `mw/blob-batching`, leaving only the nr ones here. TODOs: - [x] Remove copied/pasted fns by bumping bigcurve and `noir-protocol-circuits` to bignum 0.7.0 (blocked by bignum/bigcurve) - [x] Remove visibility warnings (blocked by mostly bigcurve, as required imports are marked as private in the repo) EDIT 16.5: my bigcurve branch `mw/bump` temporarily resolves these - [ ] Explore whether it's safe to use the output of a BN Poseidon2 hash as part of `gamma` (the 'challenge' for a random linear combination on BLS12 elts) - #13608 (not blocked, but requires some cryptography thinking) - [x] Decide whether to keep `finalize` as a separate fn once accumulators are complete (the only thing finalize actually does is hash the final `gamma_acc` with `z`). TODOs which can only be completed once batching is integrated: - [ ] Remove temp `pub`s all over the place - [ ] Remove old `BlobCommitment` type and replace entirely with the properties of `BatchingBlobCommitment` --- ## PR Stack - [ ] `mw/blob-batching` <- main feature - [x] ^ `mw/blob-batching-bls-utils` <- BLS12-381 bigcurve and bignum utils (noir) - [ ] ^ `mw/blob-batching-bls-utils-ts` <- BLS12-381 bigcurve and bignum utils (ts) - [ ] ^ `mw/blob-batching-integration` <- Integrate batching into noir protocol circuits - [ ] ^ `mw/blob-batching-integration-ts-sol` <- Integrate batching into ts and solidity --- .../crates/blob/Nargo.toml | 1 + .../crates/blob/src/blob.nr | 17 +- .../crates/blob/src/blob_batching.nr | 312 ++++++++++ .../blob/src/blob_batching_public_inputs.nr | 565 ++++++++++++++++++ .../crates/blob/src/lib.nr | 2 + .../src/abis/block_root_rollup_data.nr | 2 +- .../block_merge/block_merge_rollup_inputs.nr | 7 + .../rollup-lib/src/root/root_rollup_inputs.nr | 12 + .../crates/types/src/constants.nr | 15 +- .../crates/types/src/utils/field.nr | 12 + 10 files changed, 938 insertions(+), 7 deletions(-) create mode 100644 noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr create mode 100644 noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr diff --git a/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml b/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml index fa13c456bbae..393c58e88b6a 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml +++ b/noir-projects/noir-protocol-circuits/crates/blob/Nargo.toml @@ -6,5 +6,6 @@ compiler_version = ">=0.30.0" [dependencies] bigint = { tag = "v0.7.2", git = "https://github.com/noir-lang/noir-bignum" } +bigcurve = { tag = "mw/bump", git = "https://github.com/noir-lang/noir_bigcurve" } types = { path = "../types" } poseidon = { tag = "v0.1.1", git = "https://github.com/noir-lang/poseidon" } diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr index 42879efe2a52..66ba3b361bf9 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob.nr @@ -13,7 +13,10 @@ use types::{ utils::arrays::array_splice, }; -fn convert_blob_fields(blob_as_fields: [Field; FIELDS_PER_BLOB]) -> [F; FIELDS_PER_BLOB] { +// TODO(MW): remove pub when fully moved to batching +pub(crate) fn convert_blob_fields( + blob_as_fields: [Field; FIELDS_PER_BLOB], +) -> [F; FIELDS_PER_BLOB] { let mut blob: [F; FIELDS_PER_BLOB] = [F::zero(); FIELDS_PER_BLOB]; for i in 0..FIELDS_PER_BLOB { blob[i] = F::from(blob_as_fields[i]); @@ -42,7 +45,11 @@ pub fn check_block_blob_sponge( sponge_hash } -fn compute_challenge(hashed_blobs_fields: Field, kzg_commitment: BlobCommitment) -> Field { +// TODO(MW): remove pub when fully moved to batching +pub(crate) fn compute_challenge( + hashed_blobs_fields: Field, + kzg_commitment: BlobCommitment, +) -> Field { let preimage = [hashed_blobs_fields, kzg_commitment.inner[0], kzg_commitment.inner[1]]; let challenge = poseidon::poseidon2::Poseidon2::hash(preimage, 3); challenge @@ -52,7 +59,8 @@ fn compute_challenge(hashed_blobs_fields: Field, kzg_commitment: BlobCommitment) // we don't actually need to operate on it so we've simply encoded it as fitting inside a // [Field; 2], since two 254-bit fields more-than covers 381+1=382 bits. // See yarn-project/foundation/src/blob/index.ts -> commitmentToFields() for encoding -fn evaluate_blob( +// TODO(MW): remove pub when fully moved to batching +pub(crate) fn evaluate_blob( blob_as_fields: [Field; FIELDS_PER_BLOB], kzg_commitment: BlobCommitment, hashed_blobs_fields: Field, @@ -112,8 +120,9 @@ pub fn evaluate_blobs( * @param ys - the many y_i's of the blob. * * @return y = p(z) + * TODO(MW): remove pub when fully moved to batching */ -fn barycentric_evaluate_blob_at_z(z: F, ys: [F; FIELDS_PER_BLOB]) -> F { +pub(crate) fn barycentric_evaluate_blob_at_z(z: F, ys: [F; FIELDS_PER_BLOB]) -> F { // Note: it's more efficient (saving 30k constraints) to compute: // ___d-1 // \ / y_i \ diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr new file mode 100644 index 000000000000..0404ea28401a --- /dev/null +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr @@ -0,0 +1,312 @@ +use crate::{ + blob::{ + barycentric_evaluate_blob_at_z, check_block_blob_sponge, compute_challenge, + convert_blob_fields, + }, + blob_batching_public_inputs::{ + BatchingBlobCommitment, BlobAccumulationInputs, BlobAccumulatorPublicInputs, BLSPoint, + compress_to_blob_commitment, FinalBlobBatchingChallenges, + }, + blob_public_inputs::BlobCommitment, +}; +use bigint::{BigNum, BLS12_381_Fr as F}; +use types::{ + abis::sponge_blob::SpongeBlob, + constants::{BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, + traits::is_empty, + utils::arrays::array_splice, +}; + +// Evaluates a single blob: +// - Evaluates the blob at shared challenge z and returns result y_i +// - Calculates this blob's challenge z_i (= H(H(blob_i), C_i)), where C_i = kzg_commitment, and blob_i = blob_as_fields[i]. +fn evaluate_blob_for_batching( + blob_as_fields: [Field; FIELDS_PER_BLOB], + kzg_commitment: BatchingBlobCommitment, + hashed_blobs_fields: Field, + challenge_z: Field, +) -> (Field, F) { + let challenge_z_as_bignum = F::from(challenge_z); + let blob = convert_blob_fields(blob_as_fields); + + let y_i: F = barycentric_evaluate_blob_at_z(challenge_z_as_bignum, blob); + let z_i: Field = compute_challenge( + hashed_blobs_fields, + // TODO(MW): At some point BatchingBlobCommitment will replace BlobCommitment and we won't need this silly conversion + BlobCommitment { inner: kzg_commitment.to_compressed_fields() }, + ); + + (z_i, y_i) +} + +// Evaluates each blob required for a block: +// - Hashes all fields in the block's blobs (to use for the challenges z_i) +// - Compresses each of the blob's injected commitments (") +// - Evaluates each blob individually to find its challenge z_i & evaluation y_i +// - Updates the batched blob accumulator +pub fn evaluate_blobs_and_batch( + blobs_as_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], + kzg_commitments_points: [BLSPoint; BLOBS_PER_BLOCK], + mut sponge_blob: SpongeBlob, + final_blob_challenges: FinalBlobBatchingChallenges, + start_accumulator: BlobAccumulatorPublicInputs, +) -> BlobAccumulatorPublicInputs { + // See components.nr out_sponge definition as to why we copy here: + let mut end_accumulator = start_accumulator; + // Note that with multiple blobs per block, each blob uses the same hashed_blobs_fields in: + // z_i = H(hashed_blobs_fields, kzg_commitment[0], kzg_commitment[1]) + // This is ok, because each commitment is unique to the blob, and we need hashed_blobs_fields to encompass + // all fields in the blob, which it does. + let hashed_blobs_fields = check_block_blob_sponge(blobs_as_fields, sponge_blob); + for i in 0..BLOBS_PER_BLOCK { + let single_blob_fields = array_splice(blobs_as_fields, i * FIELDS_PER_BLOB); + let c_i = compress_to_blob_commitment(kzg_commitments_points[i]); + let (z_i, y_i) = evaluate_blob_for_batching( + single_blob_fields, + c_i, + hashed_blobs_fields, + final_blob_challenges.z, + ); + // TODO(MW): If the evaluation being zero is sufficient to say the blob i is empty, remove the range check. + // The range check exists because we cannot use c_i (it's injected and L1 relies on this circuit to check whether the blob is + // empty for c_i = O) or z_i (z_i relies on the hashed_blobs_fields, which is the hash of the items in ALL block blobs, not just i). + let is_empty_blob = sponge_blob.fields <= i * FIELDS_PER_BLOB; + if (!y_i.is_zero()) & (!is_empty_blob) { + // Only accumulate if the blob is non empty + if (is_empty(end_accumulator)) & (i == 0) { + // Init only if accumulator is empty: + // - This will be checked in root, where the left input's start acc will be constrained to be zero + // - No other accs can be zero since each block_merge checks left's end acc == right's start acc + // This can only happen at blob i = 0 for the first block of the epoch. Note: i == 0 was only added above in the hope + // that noir would be able to optimise out init gates for i > 0! + end_accumulator = BlobAccumulatorPublicInputs::init( + BlobAccumulationInputs { z_i, y_i, c_i }, + final_blob_challenges.gamma, + ); + } else { + end_accumulator = end_accumulator.accumulate( + BlobAccumulationInputs { z_i, y_i, c_i }, + final_blob_challenges.gamma, + ); + } + } + } + end_accumulator +} + +mod tests { + use crate::{ + blob_batching::evaluate_blobs_and_batch, + blob_batching_public_inputs::{ + BatchingBlobCommitment, BlobAccumulatorPublicInputs, compress_to_blob_commitment, + }, + }; + use crate::blob_batching_public_inputs::FinalBlobBatchingChallenges; + use bigcurve::{BigCurveTrait, curves::bls12_381::BLS12_381 as BLSPoint}; + use bigint::{BigNum, BLS12_381_Fr as F}; + use types::{ + abis::sponge_blob::SpongeBlob, + constants::{BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, + hash::sha256_to_field, + tests::utils::pad_end, + traits::Empty, + }; + + // All hardcoded values in this test are taken from yarn-project/foundation/src/blob/blob_batching.test.ts -> 'should construct and verify a batched blob of 400 items' + #[test] + unconstrained fn test_400_batched() { + // We evaluate 1 blob of 400 items using the batch methods. + // This ensures a block with a single blob will work: + let mut blob: [Field; FIELDS_PER_BLOB] = [0; FIELDS_PER_BLOB]; + for i in 0..400 { + blob[i] = 3; + } + let mut sponge_blob = SpongeBlob::new(400); + sponge_blob.absorb(blob, 400); + let kzg_commitment_in = BatchingBlobCommitment::from_limbs( + [ + 0xa971c7e8d8292be943d05bccebcfea, + 0xcddefc3721a54895a7a45e77504dd1, + 0x5fe972914ba3616033e2748bbaa6db, + 0x12803d, + ], + [ + 0x71bde5210b6cae1530202c8a928127, + 0x5e7d987fb4afc5bcee960c6fc0628c, + 0x64801e9aff2901eb6916e65c51f280, + 0x1996ca, + ], + ) + .point; + let kzg_commitments_in = + [kzg_commitment_in, BLSPoint::point_at_infinity(), BLSPoint::point_at_infinity()]; + + let final_challenges = FinalBlobBatchingChallenges { + // = z_0 + z: 0x135d767e8b86b949d264be7a6b71d257c538893f3cef60c95d76ba420df18c3c, + // = H(y_0, z_0) + gamma: F::from_limbs([ + 0xda0ebb0c577c62d5954852cf7a8863, + 0xaac05db8dabf148f011d29f2d308e4, + 0x0b28, + ]), + }; + // Evaluation + let res = evaluate_blobs_and_batch( + pad_end(blob, 0), + kzg_commitments_in, + sponge_blob, + final_challenges, + BlobAccumulatorPublicInputs::empty(), + ); + let final_acc = res.finalize_and_validate(final_challenges); + + assert_eq(final_acc.z, final_challenges.z); + // Since i = 1, gamma_pow = gamma^1 = gamma: + assert_eq(res.gamma_pow_acc, final_challenges.gamma); + + // y is a BLS field with value 0x212c4f0c0ee5e7dd037110686a4639d191dde7b57ab99b51e4b06e7d827b6c4c + let expected_y: F = F::from_limbs([ + 0xdde7b57ab99b51e4b06e7d827b6c4c, + 0x4f0c0ee5e7dd037110686a4639d191, + 0x212c, + ]); + assert_eq(final_acc.y, expected_y); + + let blob_commitment = compress_to_blob_commitment(kzg_commitments_in[0]); + + // Since i = 1, blob_commitments_hash is just the sha256 hash of the single (compressed) commitment + let expected_blob_commitments_hash = sha256_to_field(blob_commitment.compressed); + assert_eq(final_acc.blob_commitments_hash, expected_blob_commitments_hash); + + // Since i = 1, C = gamma^0 * C_0 = C_0 + assert_eq(final_acc.c, blob_commitment.to_compressed_fields()); + } + + // All hardcoded values in this test are taken from yarn-project/foundation/src/blob/blob_batching.test.ts -> 'should construct and verify a batch of 3 full blobs' + #[test] + unconstrained fn test_full_blobs_batched() { + // Fill three blobs completely with different values (to avoid a constant polynomial) + let mut blob: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK] = + [0; FIELDS_PER_BLOB * BLOBS_PER_BLOCK]; + for j in 0..BLOBS_PER_BLOCK { + for i in 0..FIELDS_PER_BLOB { + blob[j * FIELDS_PER_BLOB + i] = ((j + 3) * (i + 1)) as Field; + } + } + // Absorb the values into a sponge + let mut sponge_blob = SpongeBlob::new(FIELDS_PER_BLOB * BLOBS_PER_BLOCK); + sponge_blob.absorb(blob, FIELDS_PER_BLOB * BLOBS_PER_BLOCK); + // Init. injected values: + // - Commitments are injected and checked for correctness on L1 via acc.v + let kzg_commitments_in = [ + BatchingBlobCommitment::from_limbs( + [ + 0x2627fc88755984d7f002e5ef0e6b3e, + 0x0ea98f6a26672e17f919eb020b00ee, + 0xea6e5173f2ef1bedbb07bfa9ac6ed8, + 0x01c6e6, + ], + [ + 0xaa96f04ba1d419683f218cc4f15a3f, + 0x8887c5e719583b765309e4b3d18752, + 0x9ff512de37b8582f7167fdfbb29539, + 0x18f531, + ], + ) + .point, + BatchingBlobCommitment::from_limbs( + [ + 0x71556bb7217816fbb3f822fc873740, + 0x9c57d93d7fd33a388e13e95cfdba95, + 0x4f0ddbdc9d6a3653cd825ebd9f5730, + 0x12324e, + ], + [ + 0xabf9f60fc773ef1802a706d6b170a4, + 0x788f9000166d54151ac05df44e63be, + 0x0a8b45ead129885bb12837fb59033b, + 0x12aadd, + ], + ) + .point, + BatchingBlobCommitment::from_limbs( + [ + 0x69afb94a09e713e7fb94e26f33c3ed, + 0x8161293f65480c3b7bad57aaef1984, + 0xc34d68dc32d1ecd46f46ec4c969bb1, + 0x0d97ef, + ], + [ + 0x9837a79d9fa4d0370198419b273360, + 0x9e7340f07732e2cb3d51db22b1dcb3, + 0x8285e8cad42f634bb51ad7d2c68a12, + 0x07db3c, + ], + ) + .point, + ]; + + let final_challenges = FinalBlobBatchingChallenges { + // - The final z value is injected and checked for correctness in root (see below final_acc) + z: 0x02d6a54e591ada73e5eea35188a02ac87779f4293ea3e7d675fa50ae7ff332ce, + // - The final gamma value is injected and checked for correctness in root (see below final_acc) + gamma: F::from_limbs([ + 0x281287a8d44071d216177e06a02327, + 0x16571aa3dcfef75c2447c705c6c68a, + 0x16f2, + ]), + }; + // Init. the accumulator + let start_acc = BlobAccumulatorPublicInputs::empty(); + // Evaluate all three blobs and iteratively accumulate the results + let output = evaluate_blobs_and_batch( + blob, + kzg_commitments_in, + sponge_blob, + final_challenges, + start_acc, + ); + // Finalize the output (actually done in the root circuit) + let final_acc = output.finalize_and_validate(final_challenges); + + assert_eq(final_acc.z, final_challenges.z); + assert_eq( + output.gamma_pow_acc, + final_challenges.gamma.__pow(F::from(BLOBS_PER_BLOCK as Field)), + ); + + // y is a BLS Fr field with value 0x0cd2fd9a46ba70fd7f212d08ec7283024b0b1ff9446b1f78a482fb7443e49b57 + let expected_y = F::from_limbs([ + 0x0b1ff9446b1f78a482fb7443e49b57, + 0xfd9a46ba70fd7f212d08ec7283024b, + 0x0cd2, + ]); + + // C is a BLS point with value: + // x: 0x0f2f5f62cc6c3ab4c1ac1abcb9da9677e12796a76064f68c0d4f659f25a046a6d42616100269935afcb1b98c85d5e93e, + // y: 0x0af1e4abfa449daf65201c2b24507b1058d8ea9bf82ff948a1d01912615c4a8e507160da282e6c41bab917c868923254, + let expected_c = BatchingBlobCommitment::from_limbs( + [ + 0x2616100269935afcb1b98c85d5e93e, + 0x96a76064f68c0d4f659f25a046a6d4, + 0x62cc6c3ab4c1ac1abcb9da9677e127, + 0x0f2f5f, + ], + [ + 0x7160da282e6c41bab917c868923254, + 0xea9bf82ff948a1d01912615c4a8e50, + 0xabfa449daf65201c2b24507b1058d8, + 0x0af1e4, + ], + ); + + // blob_commitments_hash is a BN Fr field with value 0x00d2f7bffbc5a9008207a188e348e753087f54557a686efd7f74c90cac52a9a1 + let expected_blob_commitments_hash = + 0xd2f7bffbc5a9008207a188e348e753087f54557a686efd7f74c90cac52a9a1; + + assert_eq(final_acc.y, expected_y); + assert_eq(final_acc.c, expected_c.to_compressed_fields()); + assert_eq(final_acc.blob_commitments_hash, expected_blob_commitments_hash); + } +} diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr new file mode 100644 index 000000000000..4bb536db6b28 --- /dev/null +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr @@ -0,0 +1,565 @@ +use bigcurve::{ + BigCurveTrait, + curves::bls12_381::{BLS12_381, BLS12_381Scalar}, + scalar_field::ScalarFieldTrait, +}; +use bigint::{BigNum, BLS12_381_Fq as Q, BLS12_381_Fr as F}; +use std::ops::{Add, Mul}; +use types::{ + constants::{ + BLOB_ACCUMULATOR_PUBLIC_INPUTS, BLOCK_BLOB_PUBLIC_INPUTS, BLS12_FR_LIMBS, + BLS12_POINT_COMPRESSED_BYTES, + }, + hash::{poseidon2_hash, sha256_to_field}, + traits::{Deserialize, Empty, Serialize}, + utils::{arrays::array_splice, field::{byte_to_bits_be, field_from_bytes}, reader::Reader}, +}; + +pub type BLSPoint = BLS12_381; + +pub struct BatchingBlobCommitment { + pub point: BLSPoint, + pub compressed: [u8; BLS12_POINT_COMPRESSED_BYTES], +} + +impl BatchingBlobCommitment { + // The compressed form is a BLS12Fq field encoded as 2 BN254Fr fields. + // The first is the first 31 bytes, and the second is the next 17 bytes: + pub fn to_compressed_fields(self) -> [Field; 2] { + [ + // field 0 is bytes 0..31 + field_from_bytes::<31>(array_splice(self.compressed, 0), true), + // field 1 is bytes 31..48 + field_from_bytes::<17>(array_splice(self.compressed, 31), true), + ] + } + + // Helper fn largely used in testing to simplify fixtures + pub fn from_limbs(x_limbs: [u128; 4], y_limbs: [u128; 4]) -> Self { + let x = Q::from_limbs(x_limbs); + let y = Q::from_limbs(y_limbs); + let point = BLSPoint { x, y, is_infinity: (x.is_zero()) & (y.is_zero()) }; + compress_to_blob_commitment(point) + } + + // The commitment for an empty blob is (0, 0), which is compressed to [192, 0, ..., 0] + // NOT [0, 0, ..., 0] due to the is_compressed flag: + pub fn empty_blob() -> Self { + Self { + point: BLSPoint { x: Q::zero(), y: Q::zero(), is_infinity: true }, + compressed: [ + 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + ], + } + } +} + +impl Eq for BatchingBlobCommitment { + fn eq(self, other: Self) -> bool { + (self.point.eq(other.point)) & (self.compressed.eq(other.compressed)) + } +} + +impl Empty for BatchingBlobCommitment { + fn empty() -> Self { + Self { point: BLSPoint::point_at_infinity(), compressed: [0; BLS12_POINT_COMPRESSED_BYTES] } + } +} + +// TODO(MW): get_flags() and compress_to_bytes() will eventually be part of BigCurve. +/** + * Create a compressed representation of a BLS12Point. + * @dev NOTE: The compression standard for BLS12-381 differs from BN curves. Instead of + * one is_positive flag, we have three flags to prepend: + * - is_compressed: indicator that the point is compressed + * - is_infinity: whether the point the point at infinity + * - is_greater: only set if is_compressed && !is_infinity && y > (p - 1)/2 + * See https://github.com/arkworks-rs/algebra/blob/master/curves/bls12_381/src/curves/g1.rs -> serialize_with_mode() -> encoding + * and noble-curves/src/bls12-381.ts -> setMask() + */ +pub fn compress_to_blob_commitment(point: BLSPoint) -> (BatchingBlobCommitment) { + let (flags, x) = get_flags(point); + let mut compressed = x.to_be_bytes(); + let most_sig_bits = byte_to_bits_be(compressed[0]); + // TODO(MW): May not need to assert this since Bignum may check it's 381 bits? + for i in 0..3 { + assert_eq(most_sig_bits[i], 0, "Invalid BLS12-381 x coordinate given to compress()."); + } + compressed[0] = set_flags(flags, compressed[0]); + BatchingBlobCommitment { point, compressed } +} + +// TODO: Will be part of bigcurve's compression functionality +// Given a point in BLS12-381, returns [is_compressed, is_infinity, is_greater] and the point's x coordinate +fn get_flags(point: BLSPoint) -> ([bool; 3], Q) { + let x = point.x; + let y = point.y; + let is_compressed = true; + let is_infinity = point.is_infinity; + let is_greater = y > -y; + let flags = [is_compressed, is_infinity, is_greater]; + (flags, x) +} + +// TODO: Will be part of bigcurve's compression functionality +// Given [is_compressed, is_infinity, is_greater] and the point's most significant byte, returns that +// byte with the flags set. +fn set_flags(flags: [bool; 3], byte: u8) -> u8 { + // Flip some bits (NB: this is probably not efficient but just easier to log/visualise for now) + let mut flip = 0; + // flags = [is_compressed, is_infinity, is_greater] + // if (is_compressed) { flip most sig bit in u8 => byte |= 2**7 => byte |= 2 << 6 } + // if (is_infinity) { flip next most sig bit in u8 => byte |= 2**6 => byte |= 2 << 5 } + // if (is_greater) { flip next most sig bit in u8 => byte |= 2**5 => byte |= 2 << 4 } + for i in 0..3 { + if flags[i] { + flip += 2 << (6 - (i as u8)); + } + } + byte | flip +} + +/** +* The outputs we care about from using the barycentric to evaluate blob i at z: +* - z_i = Challenge for one blob (=H(H(blob_i), C_i)) +* - y_i = Evaluation for one blob (=p_i(z)) +* - c_i = Commitment for one blob (=C_i) +*/ +pub struct BlobAccumulationInputs { + pub z_i: Field, + pub y_i: F, + pub c_i: BatchingBlobCommitment, +} + +impl Empty for BlobAccumulationInputs { + fn empty() -> Self { + Self { z_i: 0, y_i: BigNum::zero(), c_i: BatchingBlobCommitment::empty() } + } +} + +/** +* Contains all fields required to construct a batched KZG proof of ALL blobs in the epoch. +* Instead of calling the point evaluation precompile on L1 for each blob, we create a multi-opening proof +* with the scheme below, and call it just once: +* point_evaluation_precompile(b, z, y, C, Q) +* Where b (= kzg_to_versioned_hash(C)) and Q (= KZG proof) are computed outside the circuit. The other params are +* calculated here across the rollup circuits (until root, when .finalize() is called). +* Other notes: +* - We use blob_commitments_hash to validate the commitments injected here correspond to blobs published on L1. +* - We use gamma as the challenge for multi opening, so it can be discarded once the rollup is complete. +* - We already know that the elements in each blob correspond to validated data from the kernels from the use of +* the blob_sponge and validating blob_sponge.squeeze() vs H(input_elements). +* - We encompass all the blob elements in challenges (z_i) unique to each blob by using the above H(input_elements) +* and the blob's commitment (c_i). +* +* TODO(MW): Compress F and Q values to reduce number of public inputs (BLOB_ACCUMULATOR_PUBLIC_INPUTS) +*/ +pub struct BlobAccumulatorPublicInputs { + pub blob_commitments_hash_acc: Field, // Hash of Cs (to link to L1 blob hashes) (BN254Fr) + pub z_acc: Field, // Challenge at which the batched blob polynomial is evaluated (BN254Fr) + pub y_acc: F, // Current state of y's linear combination (sum_i {gamma^i * y_i}) where y_i is blob_i's evaluation y (BLS12Fr) + pub c_acc: BLSPoint, // Current state of C's linear combination (sum_i {gamma^i * C_i}) where C_i is blob_i's commitment C (BLS12 point: { x: BLS12Fq, y: BLS12Fq }) + pub gamma_acc: Field, // Challenge for linear combination of each blob's y and C (BLS12Fr but represented here as BN254Fr, since it is hashed natively) + pub gamma_pow_acc: F, // gamma^i for current blob, used above (BLS12Fr) +} + +impl BlobAccumulatorPublicInputs { + /** + * Init the first accumulation state of the epoch. + * + * First state of the accumulator: + * - v_acc := sha256(C_0) + * - z_acc := z_0 + * - y_acc := gamma^0 * y_0 = y_0 + * - c_acc := gamma^0 * c_0 = c_0 + * - gamma_acc := poseidon2(y_0.limbs) + * - gamma^(i + 1) = gamma^1 = gamma // denoted gamma_pow_acc + * + * For all blobs i > 0 accumulated, see the below documentation for accumulate(). + * + */ + pub fn init(first_output: BlobAccumulationInputs, final_gamma: F) -> Self { + // TODO(#13608): use a BLS12 based hash? Is using BN based safe - since the output is smaller is there a skew? + let hashed_y_0 = poseidon2_hash(first_output.y_i.get_limbs().map(|l| l as Field)); + Self { + blob_commitments_hash_acc: sha256_to_field(first_output.c_i.compressed), + z_acc: first_output.z_i, + y_acc: first_output.y_i, + c_acc: first_output.c_i.point, + gamma_acc: hashed_y_0, + gamma_pow_acc: final_gamma, + } + } + + /** + * LHS Accumulator: Current state of param accumulation from blob 0 to i-1 + * RHS Accumulator: Outputs from evaluation of blob i + * + * NB: blob_commitments_hash is written as v below + * + * Each accumulation: + * - v_acc := sha256(v_acc, C_i) + * - z_acc := poseidon2(z_acc, z_i) + * - y_acc := y_acc + (gamma^i * y_i) + * - c_acc := c_acc + (gamma^i * c_i) + * - gamma_acc := poseidon2(gamma_acc, poseidon2(y_i.limbs)) + * - gamma^(i + 1) = gamma^i * gamma // denoted gamma_pow_acc + * + * Final accumulated values (from last blob of last block of epoch): + * - v := v_acc (hash of all commitments (C_i s) to be checked on L1) + * - z := z_acc (final challenge, at which all blobs are evaluated) + * - y := y_acc (final opening to be checked on L1) + * - c := c_acc (final commitment to be checked on L1) + * - gamma := poseidon2(gamma_acc, z) (challenge for linear combination of y and C, above) + * + * Final values z and gamma are injected into each block root circuit. We ensure they are correct by: + * - Checking equality in each block merge circuit and propagating up + * - Checking final z_acc == z in root circuit + * - Checking final gamma_acc == gamma in root circuit + * + */ + pub fn accumulate(self, other: BlobAccumulationInputs, final_gamma: F) -> Self { + // TODO(#13608): use a BLS12 based hash? Is using BN based safe - since the output is smaller is there a skew? + let hashed_y_i = poseidon2_hash(other.y_i.get_limbs().map(|l| l as Field)); + Self { + blob_commitments_hash_acc: sha256_to_field(self + .blob_commitments_hash_acc + .to_be_bytes::<32>() + .concat(other.c_i.compressed)), + z_acc: poseidon2_hash([self.z_acc, other.z_i]), + y_acc: self.y_acc.add(other.y_i.mul(self.gamma_pow_acc)), + c_acc: self.c_acc.add(other.c_i.point.mul(BLS12_381Scalar::from_bignum( + self.gamma_pow_acc, + ))), + gamma_acc: poseidon2_hash([self.gamma_acc, hashed_y_i]), + gamma_pow_acc: self.gamma_pow_acc.mul(final_gamma), + } + } + + // Completes the final checks for the last accumulator state. This is called in the root rollup and + // exists here to avoid importing bignum's to_field in the rollup_lib. + pub fn finalize_and_validate( + self, + injected: FinalBlobBatchingChallenges, + ) -> FinalBlobAccumulatorPublicInputs { + assert(self.z_acc == injected.z, "Final blob challenge z mismatch."); + let gamma = poseidon2_hash([self.gamma_acc, self.z_acc]); + assert( + gamma == bigint::bignum::to_field(injected.gamma), + "Final blob challenge gamma mismatch.", + ); + // TODO(MW): Refactor BlobBatchingCommitment once BlobCommitment can be safely deleted + let c = compress_to_blob_commitment(self.c_acc).to_compressed_fields(); + FinalBlobAccumulatorPublicInputs { + blob_commitments_hash: self.blob_commitments_hash_acc, + z: self.z_acc, + y: self.y_acc, + c, + } + } +} + +impl Empty for BlobAccumulatorPublicInputs { + fn empty() -> Self { + Self { + blob_commitments_hash_acc: 0, + z_acc: 0, + y_acc: F::zero(), + c_acc: BLSPoint::point_at_infinity(), + gamma_acc: 0, + gamma_pow_acc: F::zero(), + } + } +} + +impl Eq for BlobAccumulatorPublicInputs { + fn eq(self, other: Self) -> bool { + (self.blob_commitments_hash_acc.eq(other.blob_commitments_hash_acc)) + & (self.z_acc.eq(other.z_acc)) + & (self.y_acc.eq(other.y_acc)) + & (self.c_acc.eq(other.c_acc)) + & (self.gamma_acc.eq(other.gamma_acc)) + & (self.gamma_pow_acc.eq(other.gamma_pow_acc)) + } +} + +impl Serialize for BlobAccumulatorPublicInputs { + fn serialize(self) -> [Field; BLOB_ACCUMULATOR_PUBLIC_INPUTS] { + let mut fields: BoundedVec = BoundedVec::new(); + fields.push(self.blob_commitments_hash_acc); + fields.push(self.z_acc); + fields.extend_from_array(self.y_acc.get_limbs().map(|l| l as Field)); + fields.extend_from_array(self.c_acc.x.get_limbs().map(|l| l as Field)); + fields.extend_from_array(self.c_acc.y.get_limbs().map(|l| l as Field)); + fields.push(self.c_acc.is_infinity as Field); + fields.push(self.gamma_acc); + fields.extend_from_array(self.gamma_pow_acc.get_limbs().map(|l| l as Field)); + fields.storage() + } +} + +impl Deserialize for BlobAccumulatorPublicInputs { + fn deserialize(fields: [Field; BLOB_ACCUMULATOR_PUBLIC_INPUTS]) -> Self { + let mut reader = Reader::new(fields); + let mut item = Self { + blob_commitments_hash_acc: reader.read(), + z_acc: reader.read(), + y_acc: F::from_limbs(reader.read_array().map(|e| e as u128)), + c_acc: BLSPoint { + x: Q::from_limbs(reader.read_array().map(|e| e as u128)), + y: Q::from_limbs(reader.read_array().map(|e| e as u128)), + is_infinity: reader.read_bool(), + }, + gamma_acc: reader.read(), + gamma_pow_acc: F::from_limbs(reader.read_array().map(|e| e as u128)), + }; + item + } +} + +/** +* Final values z and gamma are injected into each block root circuit. We ensure they are correct by: +* - Checking equality in each block merge circuit and propagating up +* - Checking final z_acc == z in root circuit +* - Checking final gamma_acc == gamma in root circuit +* +* - z = H(...H(H(z_0, z_1) z_2)..z_n) +* - where z_i = H(H(fields of blob_i), C_i), +* - used such that p_i(z) = y_i = Blob.evaluationY for all n blob polynomials p_i(). +* - gamma = H(H(...H(H(y_0, y_1) y_2)..y_n), z) +* - used such that y = sum_i { gamma^i * y_i }, and C = sum_i { gamma^i * C_i } +* for all blob evaluations y_i (see above) and commitments C_i. +* +* Iteratively calculated by BlobAccumulatorPublicInputs.accumulate() above. See also precomputeBatchedBlobChallenges() in ts. +*/ +pub struct FinalBlobBatchingChallenges { + pub z: Field, + pub gamma: F, +} + +impl Empty for FinalBlobBatchingChallenges { + fn empty() -> Self { + Self { z: 0, gamma: F::zero() } + } +} + +impl Eq for FinalBlobBatchingChallenges { + fn eq(self, other: Self) -> bool { + (self.z.eq(other.z)) & (self.gamma.eq(other.gamma)) + } +} + +impl Serialize for FinalBlobBatchingChallenges { + fn serialize(self) -> [Field; BLS12_FR_LIMBS + 1] { + let mut fields: BoundedVec = BoundedVec::new(); + fields.push(self.z); + fields.extend_from_array(self.gamma.get_limbs().map(|l| l as Field)); + fields.storage() + } +} + +impl Deserialize for FinalBlobBatchingChallenges { + fn deserialize(fields: [Field; BLS12_FR_LIMBS + 1]) -> Self { + let mut reader = Reader::new(fields); + let mut item = + Self { z: reader.read(), gamma: F::from_limbs(reader.read_array().map(|e| e as u128)) }; + item + } +} + +/** +* Final values of a batched blob. Output in the root rollup circuit and validated on L1. +* +* - blob_commitments_hash = sha256( ...sha256(sha256(C_0), C_1) ... C_n) +* - z = poseidon2( ...poseidon2(poseidon2(z_0, z_1), z_2) ... z_n) +* - y = y_0 + gamma * y_1 + gamma^2 * y_2 + ... + gamma^n * y_n +* - c = C_0 + gamma * C_1 + gamma^2 * C_2 + ... + gamma^n * C_n +* +* Gamma has served its purpose in the 'random' linear combination and is not required as a public input. +*/ +pub struct FinalBlobAccumulatorPublicInputs { + pub blob_commitments_hash: Field, // Hash of Cs (to link to L1 blob hashes) (BN254Fr) + pub z: Field, // Challenge at which the batched blob polynomial is evaluated (BN254Fr) + pub y: F, // Batched blob's evaluation y (BLS12Fr) + pub c: [Field; 2], // Batched blob's commitment C (BLS12 point: { x: BLS12Fq, y: BLS12Fq }) compressed to 48 bytes, stored in 2 fields of 31 and 17 bytes +} + +impl Eq for FinalBlobAccumulatorPublicInputs { + fn eq(self, other: Self) -> bool { + (self.blob_commitments_hash.eq(other.blob_commitments_hash)) + & (self.z.eq(other.z)) + & (self.y.eq(other.y)) + & (self.c.eq(other.c)) + } +} + +/** +* - start_blob_accumulator: Accumulated opening proofs for all blobs before this block range. +* - end_blob_accumulator: Accumulated opening proofs for all blobs after adding this block range. +* - final_blob_challenges: Final values z and gamma, shared across the epoch. +*/ +pub struct BlockBlobPublicInputs { + pub start_blob_accumulator: BlobAccumulatorPublicInputs, + pub end_blob_accumulator: BlobAccumulatorPublicInputs, + pub final_blob_challenges: FinalBlobBatchingChallenges, +} + +impl Empty for BlockBlobPublicInputs { + fn empty() -> Self { + Self { + start_blob_accumulator: BlobAccumulatorPublicInputs::empty(), + end_blob_accumulator: BlobAccumulatorPublicInputs::empty(), + final_blob_challenges: FinalBlobBatchingChallenges::empty(), + } + } +} + +impl Eq for BlockBlobPublicInputs { + fn eq(self, other: Self) -> bool { + (self.start_blob_accumulator.eq(other.start_blob_accumulator)) + & (self.end_blob_accumulator.eq(other.end_blob_accumulator)) + & (self.final_blob_challenges.eq(other.final_blob_challenges)) + } +} + +impl Serialize for BlockBlobPublicInputs { + fn serialize(self) -> [Field; BLOCK_BLOB_PUBLIC_INPUTS] { + let mut fields: BoundedVec = BoundedVec::new(); + fields.extend_from_array(self.start_blob_accumulator.serialize()); + fields.extend_from_array(self.end_blob_accumulator.serialize()); + fields.extend_from_array(self.final_blob_challenges.serialize()); + fields.storage() + } +} + +impl Deserialize for BlockBlobPublicInputs { + fn deserialize(fields: [Field; BLOCK_BLOB_PUBLIC_INPUTS]) -> Self { + let mut reader = Reader::new(fields); + let mut item = Self { + start_blob_accumulator: reader.read_struct(BlobAccumulatorPublicInputs::deserialize), + end_blob_accumulator: reader.read_struct(BlobAccumulatorPublicInputs::deserialize), + final_blob_challenges: reader.read_struct(FinalBlobBatchingChallenges::deserialize), + }; + item + } +} + +mod tests { + use crate::blob_batching_public_inputs::{ + BatchingBlobCommitment, BlockBlobPublicInputs, BLSPoint, compress_to_blob_commitment, + get_flags, + }; + use bigcurve::{ + BigCurveTrait, + CurveParamsTrait, + curves::bls12_381::{BLS12_381 as Point, BLS12_381_Params}, + }; + use bigint::{BigNum, BLS12_381_Fq as Q}; + use std::ops::{Add, Mul}; + use types::traits::{Deserialize, Empty, Serialize}; + + #[test] + unconstrained fn point_compression() { + let point = Point::offset_generator(); + let (flags, x) = get_flags(point); + // is_compressed = true + assert_eq(flags[0], true); + // is_infinity = false + assert_eq(flags[1], false); + // is_greater = false (point.y < -point.y for G) + assert_eq(flags[2], false); + // Decompress back to the same point: + let mut bytes = compress_to_blob_commitment(point).compressed; + // Same as &= 0b0001_1111 - clear first three bits of our flags + bytes[0] &= 31; + let reconstructed_x = Q::from_be_bytes(bytes); + assert_eq(reconstructed_x, x); + let (a, b) = (BLS12_381_Params::a(), BLS12_381_Params::b()); + // y^2 = x^3 + ax + b + let reconstructed_y_squared = + reconstructed_x.__pow(Q::from(3)).add(a.mul(reconstructed_x)).add(b); + let mut reconstructed_y = reconstructed_y_squared.__tonelli_shanks_sqrt().unwrap(); + // If the sqrt returned is the 'greater' one, negate it (since here is_greater = false): + reconstructed_y = if reconstructed_y > -reconstructed_y { + -reconstructed_y + } else { + reconstructed_y + }; + assert_eq(reconstructed_y, point.y); + } + + #[test] + unconstrained fn test_point_compression_greater() { + // Note that this p is the negation of p from the test test_point_compression_not_greater... + let p = BLSPoint { + x: Q::from_limbs([ + 0x2616100269935afcb1b98c85d5e93e, + 0x96a76064f68c0d4f659f25a046a6d4, + 0x62cc6c3ab4c1ac1abcb9da9677e127, + 0x0f2f5f, + ]), + y: Q::from_limbs([ + 0x3a9f24892593bdff45e837976d7857, + 0x60e8fb551976c560b98e9554ab95ce, + 0x3e3f3b48eae5fb8b8b1efb31c70b9e, + 0x0f0f2d, + ]), + is_infinity: false, + }; + + let compressed_point = compress_to_blob_commitment(p).compressed; + + // ...so the compressed point only differs in the first byte, where the is_greater flag is stored. + let expected_compressed_point_greater = [ + 175, 47, 95, 98, 204, 108, 58, 180, 193, 172, 26, 188, 185, 218, 150, 119, 225, 39, 150, + 167, 96, 100, 246, 140, 13, 79, 101, 159, 37, 160, 70, 166, 212, 38, 22, 16, 2, 105, + 147, 90, 252, 177, 185, 140, 133, 213, 233, 62, + ]; + assert_eq(expected_compressed_point_greater, compressed_point); + } + + #[test] + unconstrained fn test_point_compression_not_greater() { + // Note that this p is the negation of p from the test test_point_compression_greater... + let p = BLSPoint { + x: Q::from_limbs([ + 0x2616100269935afcb1b98c85d5e93e, + 0x96a76064f68c0d4f659f25a046a6d4, + 0x62cc6c3ab4c1ac1abcb9da9677e127, + 0x0f2f5f, + ]), + y: Q::from_limbs([ + 0x7160da282e6c41bab917c868923254, + 0xea9bf82ff948a1d01912615c4a8e50, + 0xabfa449daf65201c2b24507b1058d8, + 0x0af1e4, + ]), + is_infinity: false, + }; + + let compressed_point = compress_to_blob_commitment(p).compressed; + + // ...so the compressed point only differs in the first byte, where the is_greater flag is stored. + let expected_compressed_point_not_greater = [ + 143, 47, 95, 98, 204, 108, 58, 180, 193, 172, 26, 188, 185, 218, 150, 119, 225, 39, 150, + 167, 96, 100, 246, 140, 13, 79, 101, 159, 37, 160, 70, 166, 212, 38, 22, 16, 2, 105, + 147, 90, 252, 177, 185, 140, 133, 213, 233, 62, + ]; + assert_eq(expected_compressed_point_not_greater, compressed_point); + } + + #[test] + unconstrained fn empty_blob_commitment() { + let expected = compress_to_blob_commitment(BLSPoint::point_at_infinity()); + assert_eq(expected, BatchingBlobCommitment::empty_blob()); + } + + #[test] + unconstrained fn serialization_of_empty() { + let item = BlockBlobPublicInputs::empty(); + let serialized = item.serialize(); + let deserialized = BlockBlobPublicInputs::deserialize(serialized); + assert(item.eq(deserialized)); + } +} diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/lib.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/lib.nr index 7e3e493991c7..31b51ca51fff 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/lib.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/lib.nr @@ -1,5 +1,7 @@ pub mod blob_public_inputs; +pub mod blob_batching_public_inputs; mod blob; +mod blob_batching; mod mock_blob_oracle; mod config; mod unconstrained_config; diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr index 7f78a28da1fd..c67cdc19c60d 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr @@ -33,7 +33,7 @@ pub struct BlockRootRollupBlobData { pub blobs_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], // see blob/src/blob.nr -> evaluate_blob() - these are used for creating the challenge z pub blob_commitments: [BlobCommitment; BLOBS_PER_BLOCK], - // Flat sha256 hash of the EVM blob hashes, can be injected here as the contract checks its validity vs the blob_public_inputs below + // Flat sha256 hash of the EVM blob hashes, can be injected here as the contract checks its validity vs the blob_public_inputs // NB: to fit it into a field, we truncate to 31 bytes pub blobs_hash: Field, } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr index 3136f8731ea1..a9e1489bc68d 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr @@ -60,6 +60,13 @@ impl BlockMergeRollupInputs { // let blob_public_inputs = left.blob_public_inputs.accumulate(right.blob_public_inputs); let blob_public_inputs = components::accumulate_blob_public_inputs(left, right); + // TODO(MW): Batching here will consist of checks: + // - left.end_blob_accumulator == right.start_blob_accumulator + // - left.challenge_z == right.challenge_z + // - left.challenge_gamma == right.challenge_gamma + // (^should probably exist in assert_prev_block_rollups_follow_on_from_each_other()) + // then assigning this.start_blob_accumulator = left.start_blob_accumulator & this.end_blob_accumulator = right.end_blob_accumulator + BlockRootOrBlockMergePublicInputs { previous_archive: left.previous_archive, new_archive: right.new_archive, diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr index 45cb9e1a11c2..e0f034053008 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr @@ -72,6 +72,18 @@ impl RootRollupInputs { // let blob_public_inputs = left.blob_public_inputs.accumulate(right.blob_public_inputs); let blob_public_inputs = components::accumulate_blob_public_inputs(left, right); + // TODO(MW): Batching here will consist of checks: + // - left.end_blob_accumulator == right.start_blob_accumulator + // - left.challenge_z == right.challenge_z + // - left.challenge_gamma == right.challenge_gamma + // (^should probably exist in assert_prev_block_rollups_follow_on_from_each_other()) + // Then: + // - Validate first (left.start_blob_accumulator) acc is empty + // - final_acc := right.end_blob_accumulator.finalize() + // - Validate final_acc.z = challenge_z + // - Validate final_acc.gamma = challenge_gamma + // => Validated public inputs from acc are: { v, z, y, C } (gamma is not required) + RootRollupPublicInputs { previous_archive_root: left.previous_archive.root, end_archive_root: right.new_archive.root, diff --git a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr index 18f028572b20..cefb7b6baa54 100644 --- a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr +++ b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr @@ -232,6 +232,16 @@ pub global GLOBAL_VARIABLES_LENGTH: u32 = 7 + GAS_FEES_LENGTH; pub global APPEND_ONLY_TREE_SNAPSHOT_LENGTH: u32 = 2; pub global APPEND_ONLY_TREE_SNAPSHOT_LENGTH_BYTES: u32 = 36; pub global SPONGE_BLOB_LENGTH: u32 = 11; +pub global BLS12_FR_LIMBS: u32 = 3; // TODO(MW): get this from bignum +pub global BLS12_FQ_LIMBS: u32 = 4; // TODO(MW): get this from bignum +pub global BLS12_POINT: u32 = 2 * BLS12_FQ_LIMBS + 1; // TODO(MW): reduce num fields needed here but avoid breaking recursion +pub global BLS12_POINT_COMPRESSED_BYTES: u32 = 48; // TODO(MW): get this from bignum +pub global BLOB_ACCUMULATOR_PUBLIC_INPUTS: u32 = 3 /* v_acc, z_acc, and gamma_acc */ + + 2 * BLS12_FR_LIMBS /* y_acc and gamma^i */ + + BLS12_POINT /* c_acc */; +pub global BLOCK_BLOB_PUBLIC_INPUTS: u32 = 2 * BLOB_ACCUMULATOR_PUBLIC_INPUTS /* start and end accumulators */ + + 1 /* z */ + + BLS12_FR_LIMBS /* gamma */; pub global BLOB_PUBLIC_INPUTS: u32 = 6; pub global BLOB_PUBLIC_INPUTS_BYTES: u32 = 112; // = commitment (48) + z (32) + y (32) pub global L1_TO_L2_MESSAGE_LENGTH: u32 = 6; @@ -439,8 +449,8 @@ pub global BASE_OR_MERGE_PUBLIC_INPUTS_LENGTH: u32 = CONSTANT_ROLLUP_DATA_LENGTH + PARTIAL_STATE_REFERENCE_LENGTH + 2 * SPONGE_BLOB_LENGTH + 5; -pub global BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH: u32 = 2 - * APPEND_ONLY_TREE_SNAPSHOT_LENGTH +pub global BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH: u32 = APPEND_ONLY_TREE_SNAPSHOT_LENGTH + + APPEND_ONLY_TREE_SNAPSHOT_LENGTH + 2 * GLOBAL_VARIABLES_LENGTH + 1 /* out_hash */ + AZTEC_MAX_EPOCH_DURATION /* proposedBlockHeaderHashes */ @@ -448,6 +458,7 @@ pub global BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH: u32 = 2 + 1 /* vk_tree_root */ + 1 /* protocol_contract_tree_root */ + 1 /* prover_id */ + + BLOCK_BLOB_PUBLIC_INPUTS /* blob_public_inputs */ + AZTEC_MAX_EPOCH_DURATION * BLOB_PUBLIC_INPUTS * BLOBS_PER_BLOCK; pub global ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH: u32 = 1 /* previous_archive_root */ + 1 /* end_archive_root */ diff --git a/noir-projects/noir-protocol-circuits/crates/types/src/utils/field.nr b/noir-projects/noir-protocol-circuits/crates/types/src/utils/field.nr index 5f396de8d1c6..ae2a9c6acfa0 100644 --- a/noir-projects/noir-protocol-circuits/crates/types/src/utils/field.nr +++ b/noir-projects/noir-protocol-circuits/crates/types/src/utils/field.nr @@ -34,6 +34,18 @@ pub fn field_from_bytes_32_trunc(bytes32: [u8; 32]) -> Field { low + high * v } +// TODO: This currently only exists to aid point compression in compress_to_blob_commitment(). +// Once compression is part of BigCurve it can either be removed or optimised to be used elsewhere. +pub fn byte_to_bits_be(byte: u8) -> [u1; 8] { + let mut mut_byte = byte; + let mut bits: [u1; 8] = [0; 8]; + for i in 0..8 { + bits[7 - i] = (mut_byte & 1) as u1; + mut_byte >>= 1; + } + bits +} + // TODO to radix returns u8, so we cannot use bigger radixes. It'd be ideal to use a radix of the maximum range-constrained integer noir supports pub fn full_field_less_than(lhs: Field, rhs: Field) -> bool { lhs.lt(rhs) From 2c453975fc64058aa9969989187784ce526c58a8 Mon Sep 17 00:00:00 2001 From: Miranda Wood Date: Tue, 3 Jun 2025 10:19:33 +0100 Subject: [PATCH 04/11] feat: blob batching methods (ts) (#13606) Ts only blob batching methods plus tests. Points to the parent methods PR: #13583. TODOs (Marked in files as `TODO(MW)`): - [ ] Remove the large trusted setup file? Not sure if it's required, but it is currently the only way I show in tests that our BLS12 methods match those in c-kzg. - [x] Add nr fixture where we can use `updateInlineTestData` for point compression. Other TODOs must wait until we actually integrate batching, otherwise I will break the repo. NB: The files `bls12_fields.ts` and `bls12_point.ts` and their tests are essentially copies of `./fields.ts` and `./point.ts`. When reviewing please keep that in mind and double check the original file if you see an issue before commenting (@iAmMichaelConnor ;) ). --- ## PR Stack - [ ] `mw/blob-batching` <- main feature - [ ] ^ `mw/blob-batching-bls-utils` <- BLS12-381 bigcurve and bignum utils (noir) (#13583) - [x] ^ `mw/blob-batching-bls-utils-ts` <- BLS12-381 bigcurve and bignum utils (ts) (#13606) - [ ] ^ `mw/blob-batching-integration` <- Integrate batching into noir protocol circuits (#13817) - [ ] ^ `mw/blob-batching-integration-ts-sol` <- Integrate batching into ts and solidity (#14329) --- playground/vite.config.ts | 3 +- yarn-project/blob-lib/src/blob.test.ts | 2 +- yarn-project/blob-lib/src/blob.ts | 4 +- .../blob-lib/src/blob_batching.test.ts | 186 + yarn-project/blob-lib/src/blob_batching.ts | 356 ++ yarn-project/blob-lib/src/index.ts | 1 + .../src/trusted_setup_bit_reversed.json | 4100 +++++++++++++++++ yarn-project/foundation/package.json | 2 +- .../src/fields/bls12_fields.test.ts | 305 ++ .../foundation/src/fields/bls12_fields.ts | 463 ++ .../foundation/src/fields/bls12_point.test.ts | 364 ++ .../foundation/src/fields/bls12_point.ts | 413 ++ yarn-project/foundation/src/fields/index.ts | 2 + yarn-project/foundation/src/fields/point.ts | 2 +- .../src/conversion/server.ts | 1 + yarn-project/yarn.lock | 2 +- 16 files changed, 6200 insertions(+), 6 deletions(-) create mode 100644 yarn-project/blob-lib/src/blob_batching.test.ts create mode 100644 yarn-project/blob-lib/src/blob_batching.ts create mode 100644 yarn-project/blob-lib/src/trusted_setup_bit_reversed.json create mode 100644 yarn-project/foundation/src/fields/bls12_fields.test.ts create mode 100644 yarn-project/foundation/src/fields/bls12_fields.ts create mode 100644 yarn-project/foundation/src/fields/bls12_point.test.ts create mode 100644 yarn-project/foundation/src/fields/bls12_point.ts diff --git a/playground/vite.config.ts b/playground/vite.config.ts index e0d100b8c856..f88def75cd0f 100644 --- a/playground/vite.config.ts +++ b/playground/vite.config.ts @@ -61,7 +61,8 @@ export default defineConfig(({ mode }) => { bundlesize({ // Bump log: // - AD: bumped from 1600 => 1680 as we now have a 20kb msgpack lib in bb.js and other logic got us 50kb higher, adding some wiggle room. - limits: [{ name: 'assets/index-*', limit: '1700kB' }], + // - MW: bumped from 1700 => 1750 after adding the noble curves pkg to foundation required for blob batching calculations. + limits: [{ name: 'assets/index-*', limit: '1750kB' }], }), ], define: { diff --git a/yarn-project/blob-lib/src/blob.test.ts b/yarn-project/blob-lib/src/blob.test.ts index fd67338b8fb4..24403dbe6822 100644 --- a/yarn-project/blob-lib/src/blob.test.ts +++ b/yarn-project/blob-lib/src/blob.test.ts @@ -7,7 +7,7 @@ import type { Blob as BlobBuffer, Bytes48, KZGProof } from 'c-kzg'; import { Blob } from './index.js'; import { makeEncodedBlob } from './testing.js'; -// Importing directly from 'c-kzg' does not work, ignoring import/no-named-as-default-member err: +// Importing directly from 'c-kzg' does not work: const { BYTES_PER_BLOB, diff --git a/yarn-project/blob-lib/src/blob.ts b/yarn-project/blob-lib/src/blob.ts index 4c7b0ad2088d..5ce86db0f6e9 100644 --- a/yarn-project/blob-lib/src/blob.ts +++ b/yarn-project/blob-lib/src/blob.ts @@ -2,7 +2,7 @@ import { poseidon2Hash, sha256 } from '@aztec/foundation/crypto'; import { Fr } from '@aztec/foundation/fields'; import { BufferReader, serializeToBuffer } from '@aztec/foundation/serialize'; -// Importing directly from 'c-kzg' does not work, ignoring import/no-named-as-default-member err: +// Importing directly from 'c-kzg' does not work: import cKzg from 'c-kzg'; import type { Blob as BlobBuffer } from 'c-kzg'; @@ -310,6 +310,8 @@ export class Blob { // Returns as many blobs as we require to broadcast the given fields // Assumes we share the fields hash between all blobs + // TODO(MW): Rename to more accurate getBlobsPerBlock() - the items here share a fields hash, + // which can only be done for one block because the hash is calculated in block root. static async getBlobs(fields: Fr[]): Promise { const numBlobs = Math.max(Math.ceil(fields.length / FIELD_ELEMENTS_PER_BLOB), 1); const multiBlobFieldsHash = await poseidon2Hash(fields); diff --git a/yarn-project/blob-lib/src/blob_batching.test.ts b/yarn-project/blob-lib/src/blob_batching.test.ts new file mode 100644 index 000000000000..24ad6664cc50 --- /dev/null +++ b/yarn-project/blob-lib/src/blob_batching.test.ts @@ -0,0 +1,186 @@ +import { BLOBS_PER_BLOCK, FIELDS_PER_BLOB } from '@aztec/constants'; +import { fromHex } from '@aztec/foundation/bigint-buffer'; +import { poseidon2Hash, randomBigInt, sha256ToField } from '@aztec/foundation/crypto'; +import { BLS12Fr, BLS12Point, Fr } from '@aztec/foundation/fields'; +import { fileURLToPath } from '@aztec/foundation/url'; + +import cKzg from 'c-kzg'; +import { readFileSync } from 'fs'; +import { dirname, resolve } from 'path'; + +import { BatchedBlob, Blob } from './index.js'; + +// TODO(MW): Remove below file and test? Only required to ensure commiting and compression are correct. +const trustedSetup = JSON.parse( + readFileSync(resolve(dirname(fileURLToPath(import.meta.url)), 'trusted_setup_bit_reversed.json')).toString(), +); + +// Importing directly from 'c-kzg' does not work: +const { FIELD_ELEMENTS_PER_BLOB, computeKzgProof, loadTrustedSetup, verifyKzgProof } = cKzg; + +try { + loadTrustedSetup(); +} catch (error: any) { + if (error.message.includes('trusted setup is already loaded')) { + // NB: The c-kzg lib has no way of checking whether the setup is loaded or not, + // and it throws an error if it's already loaded, even though nothing is wrong. + // This is a rudimentary way of ensuring we load the trusted setup if we need it. + } else { + throw new Error(error); + } +} + +describe('blob', () => { + it.each([10, 100, 400])('our BLS library should correctly commit to a blob of %p items', async size => { + const blobItems: Fr[] = Array(size).fill(new Fr(size + 1)); + const ourBlob = await Blob.fromFields(blobItems); + + const point = BLS12Point.decompress(ourBlob.commitment); + + // Double check we correctly decompress the commitment + const recompressed = point.compress(); + expect(recompressed.equals(ourBlob.commitment)).toBeTruthy(); + + let commitment = BLS12Point.ZERO; + const setupG1Points: BLS12Point[] = trustedSetup['g1_lagrange_bit_reversed'] + .slice(0, size) + .map((s: string) => BLS12Point.decompress(fromHex(s))); + + setupG1Points.forEach((p, i) => { + commitment = commitment.add(p.mul(BLS12Fr.fromBN254Fr(blobItems[i]))); + }); + + expect(commitment.equals(point)).toBeTruthy(); + }); + + it('should construct and verify a batched blob of 400 items', async () => { + // Initialise 400 fields. This test shows that a single blob works with batching methods. + // The values here are used to test Noir's blob evaluation in noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr -> test_400_batched + const blobItems = Array(400).fill(new Fr(3)); + const blobs = await Blob.getBlobs(blobItems); + + // Challenge for the final opening (z) + const zis = blobs.map(b => b.challengeZ); + const finalZ = zis[0]; + + // 'Batched' commitment + const commitments = blobs.map(b => BLS12Point.decompress(b.commitment)); + + // 'Batched' evaluation + const proofObjects = blobs.map(b => computeKzgProof(b.data, finalZ.toBuffer())); + const evalYs = proofObjects.map(p => BLS12Fr.fromBuffer(Buffer.from(p[1]))); + const qs = proofObjects.map(p => BLS12Point.decompress(Buffer.from(p[0]))); + + // Challenge gamma + const evalYsToBLSBignum = evalYs.map(y => y.toNoirBigNum()); + const hashedEvals = await Promise.all(evalYsToBLSBignum.map(e => poseidon2Hash(e.limbs.map(Fr.fromHexString)))); + const finalGamma = BLS12Fr.fromBN254Fr(await poseidon2Hash([hashedEvals[0], zis[0]])); + + let batchedC = BLS12Point.ZERO; + let batchedQ = BLS12Point.ZERO; + let finalY = BLS12Fr.ZERO; + let powGamma = new BLS12Fr(1n); // Since we start at gamma^0 = 1 + let finalBlobCommitmentsHash: Buffer = Buffer.alloc(0); + for (let i = 0; i < blobs.length; i++) { + const cOperand = commitments[i].mul(powGamma); + const yOperand = evalYs[i].mul(powGamma); + const qOperand = qs[i].mul(powGamma); + batchedC = batchedC.add(cOperand); + batchedQ = batchedQ.add(qOperand); + finalY = finalY.add(yOperand); + powGamma = powGamma.mul(finalGamma); + finalBlobCommitmentsHash = sha256ToField([finalBlobCommitmentsHash, blobs[i].commitment]).toBuffer(); + } + + expect(batchedC.equals(commitments[0])).toBeTruthy(); + expect(finalY.equals(evalYs[0])).toBeTruthy(); + expect(finalBlobCommitmentsHash.equals(sha256ToField([blobs[0].commitment]).toBuffer())).toBeTruthy(); + + const batchedBlob = await BatchedBlob.batch(blobs); + + expect(batchedC.equals(batchedBlob.commitment)).toBeTruthy(); + expect(batchedQ.equals(batchedBlob.q)).toBeTruthy(); + expect(finalZ.equals(batchedBlob.z)).toBeTruthy(); + expect(finalY.equals(batchedBlob.y)).toBeTruthy(); + expect(finalBlobCommitmentsHash.equals(batchedBlob.blobCommitmentsHash.toBuffer())).toBeTruthy(); + + const isValid = verifyKzgProof(batchedC.compress(), finalZ.toBuffer(), finalY.toBuffer(), batchedQ.compress()); + expect(isValid).toBe(true); + }); + + it('should construct and verify a batch of 3 full blobs', async () => { + // The values here are used to test Noir's blob evaluation in noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr -> test_full_blobs_batched + // Initialise enough fields to require 3 blobs + const items = [new Fr(3), new Fr(4), new Fr(5)].map(f => + new Array(FIELDS_PER_BLOB).fill(f).map((elt, i) => elt.mul(new Fr(i + 1))), + ); + const blobs = await Blob.getBlobs(items.flat()); + + // Challenge for the final opening (z) + const zis = blobs.map(b => b.challengeZ); + const finalZ = await poseidon2Hash([await poseidon2Hash([zis[0], zis[1]]), zis[2]]); + + // Batched commitment + const commitments = blobs.map(b => BLS12Point.decompress(b.commitment)); + + // Batched evaluation + // NB: we share the same finalZ between blobs + const proofObjects = blobs.map(b => computeKzgProof(b.data, finalZ.toBuffer())); + const evalYs = proofObjects.map(p => BLS12Fr.fromBuffer(Buffer.from(p[1]))); + const qs = proofObjects.map(p => BLS12Point.decompress(Buffer.from(p[0]))); + + // Challenge gamma + const evalYsToBLSBignum = evalYs.map(y => y.toNoirBigNum()); + const hashedEvals = await Promise.all(evalYsToBLSBignum.map(e => poseidon2Hash(e.limbs.map(Fr.fromHexString)))); + const finalGamma = BLS12Fr.fromBN254Fr( + await poseidon2Hash([ + await poseidon2Hash([await poseidon2Hash([hashedEvals[0], hashedEvals[1]]), hashedEvals[2]]), + finalZ, + ]), + ); + + let batchedC = BLS12Point.ZERO; + let batchedQ = BLS12Point.ZERO; + let finalY = BLS12Fr.ZERO; + let powGamma = new BLS12Fr(1n); // Since we start at gamma^0 = 1 + let finalBlobCommitmentsHash: Buffer = Buffer.alloc(0); + for (let i = 0; i < 3; i++) { + const cOperand = commitments[i].mul(powGamma); + const yOperand = evalYs[i].mul(powGamma); + const qOperand = qs[i].mul(powGamma); + batchedC = batchedC.add(cOperand); + batchedQ = batchedQ.add(qOperand); + finalY = finalY.add(yOperand); + powGamma = powGamma.mul(finalGamma); + finalBlobCommitmentsHash = sha256ToField([finalBlobCommitmentsHash, blobs[i].commitment]).toBuffer(); + } + + const batchedBlob = await BatchedBlob.batch(blobs); + + expect(batchedC.equals(batchedBlob.commitment)).toBeTruthy(); + expect(batchedQ.equals(batchedBlob.q)).toBeTruthy(); + expect(finalZ.equals(batchedBlob.z)).toBeTruthy(); + expect(finalY.equals(batchedBlob.y)).toBeTruthy(); + expect(finalBlobCommitmentsHash.equals(batchedBlob.blobCommitmentsHash.toBuffer())).toBeTruthy(); + + const isValid = verifyKzgProof(batchedC.compress(), finalZ.toBuffer(), finalY.toBuffer(), batchedQ.compress()); + expect(isValid).toBe(true); + }); + + it.each([ + 3, 5, 10, + // 32 <- NB Full 32 blocks currently takes around 30s to fully batch + ])('should construct and verify a batch of blobs over %p blocks', async blocks => { + const items = new Array(FIELD_ELEMENTS_PER_BLOB * blocks * BLOBS_PER_BLOCK) + .fill(Fr.ZERO) + .map((_, i) => new Fr(BigInt(i) + randomBigInt(120n))); + + const blobs = []; + for (let i = 0; i < blocks; i++) { + const start = i * FIELD_ELEMENTS_PER_BLOB * BLOBS_PER_BLOCK; + blobs.push(...(await Blob.getBlobs(items.slice(start, start + FIELD_ELEMENTS_PER_BLOB * BLOBS_PER_BLOCK)))); + } + // BatchedBlob.batch() performs a verification check: + await BatchedBlob.batch(blobs); + }); +}); diff --git a/yarn-project/blob-lib/src/blob_batching.ts b/yarn-project/blob-lib/src/blob_batching.ts new file mode 100644 index 000000000000..89bd896559df --- /dev/null +++ b/yarn-project/blob-lib/src/blob_batching.ts @@ -0,0 +1,356 @@ +import { AZTEC_MAX_EPOCH_DURATION, BLOBS_PER_BLOCK } from '@aztec/constants'; +import { poseidon2Hash, sha256, sha256ToField } from '@aztec/foundation/crypto'; +import { BLS12Field, BLS12Fr, BLS12Point, Fr } from '@aztec/foundation/fields'; +import { BufferReader, serializeToBuffer } from '@aztec/foundation/serialize'; + +// Importing directly from 'c-kzg' does not work: +import cKzg from 'c-kzg'; + +import { Blob, VERSIONED_HASH_VERSION_KZG } from './blob.js'; + +const { computeKzgProof, verifyKzgProof } = cKzg; + +/** + * A class to create, manage, and prove batched EVM blobs. + */ +export class BatchedBlob { + constructor( + /** Hash of Cs (to link to L1 blob hashes). */ + public readonly blobCommitmentsHash: Fr, + /** Challenge point z such that p_i(z) = y_i. */ + public readonly z: Fr, + /** Evaluation y, linear combination of all evaluations y_i = p_i(z) with gamma. */ + public readonly y: BLS12Fr, + /** Commitment C, linear combination of all commitments C_i = [p_i] with gamma. */ + public readonly commitment: BLS12Point, + /** KZG opening 'proof' Q (commitment to the quotient poly.), linear combination of all blob kzg 'proofs' Q_i with gamma. */ + public readonly q: BLS12Point, + ) {} + + /** + * Get the final batched opening proof from multiple blobs. + * + * TODO(MW): Using the old Blob struct means there are ignored values (e.g. blob.evaluationY, because we now evaluate at shared z). + * When switching to batching, create new class w/o useless values. + * + * @dev MUST input all blobs to be broadcast. Does not work in multiple calls because z and gamma are calculated + * beforehand from ALL blobs. + * + * @returns A batched blob. + */ + static async batch(blobs: Blob[]): Promise { + const numBlobs = blobs.length; + if (numBlobs > BLOBS_PER_BLOCK * AZTEC_MAX_EPOCH_DURATION) { + throw new Error( + `Too many blobs (${numBlobs}) sent to batch(). The maximum is ${BLOBS_PER_BLOCK * AZTEC_MAX_EPOCH_DURATION}.`, + ); + } + // Precalculate the values (z and gamma) and initialize the accumulator: + let acc = await this.newAccumulator(blobs); + // Now we can create a multi opening proof of all input blobs: + acc = await acc.accumulateBlobs(blobs); + return await acc.finalize(); + } + + /** + * Returns an empty BatchedBlobAccumulator with precomputed challenges from all blobs in the epoch. + * @dev MUST input all blobs to be broadcast. Does not work in multiple calls because z and gamma are calculated + * beforehand from ALL blobs. + */ + static async newAccumulator(blobs: Blob[]): Promise { + const finalBlobChallenges = await this.precomputeBatchedBlobChallenges(blobs); + return BatchedBlobAccumulator.newWithChallenges(finalBlobChallenges); + } + + /** + * Gets the final challenges based on all blobs and their elements to perform a multi opening proof. + * Used in BatchedBlobAccumulator as 'finalZ' and finalGamma': + * - z = H(...H(H(z_0, z_1) z_2)..z_n) + * - where z_i = H(H(fields of blob_i), C_i) = Blob.challengeZ, + * - used such that p_i(z) = y_i = Blob.evaluationY for all n blob polynomials p_i(). + * - gamma = H(H(...H(H(y_0, y_1) y_2)..y_n), z) + * - used such that y = sum_i { gamma^i * y_i }, and C = sum_i { gamma^i * C_i }, for all blob evaluations y_i (see above) and commitments C_i. + * @returns Challenges z and gamma. + */ + static async precomputeBatchedBlobChallenges(blobs: Blob[]): Promise { + // We need to precompute the final challenge values to evaluate the blobs. + let z = blobs[0].challengeZ; + // We start at i = 1, because z is initialised as the first blob's challenge. + for (let i = 1; i < blobs.length; i++) { + z = await poseidon2Hash([z, blobs[i].challengeZ]); + } + // Now we have a shared challenge for all blobs, evaluate them... + const proofObjects = blobs.map(b => computeKzgProof(b.data, z.toBuffer())); + const evaluations = proofObjects.map(([_, evaluation]) => BLS12Fr.fromBuffer(Buffer.from(evaluation))); + // ...and find the challenge for the linear combination of blobs. + let gamma = await hashNoirBigNumLimbs(evaluations[0]); + // We start at i = 1, because gamma is initialised as the first blob's evaluation. + for (let i = 1; i < blobs.length; i++) { + gamma = await poseidon2Hash([gamma, await hashNoirBigNumLimbs(evaluations[i])]); + } + gamma = await poseidon2Hash([gamma, z]); + + return new FinalBlobBatchingChallenges(z, BLS12Fr.fromBN254Fr(gamma)); + } + + static async precomputeEmptyBatchedBlobChallenges(): Promise { + const blobs = [await Blob.fromFields([])]; + // We need to precompute the final challenge values to evaluate the blobs. + const z = blobs[0].challengeZ; + // Now we have a shared challenge for all blobs, evaluate them... + const proofObjects = blobs.map(b => computeKzgProof(b.data, z.toBuffer())); + const evaluations = proofObjects.map(([_, evaluation]) => BLS12Fr.fromBuffer(Buffer.from(evaluation))); + // ...and find the challenge for the linear combination of blobs. + let gamma = await hashNoirBigNumLimbs(evaluations[0]); + gamma = await poseidon2Hash([gamma, z]); + + return new FinalBlobBatchingChallenges(z, BLS12Fr.fromBN254Fr(gamma)); + } + + // Returns ethereum's versioned blob hash, following kzg_to_versioned_hash: https://eips.ethereum.org/EIPS/eip-4844#helpers + getEthVersionedBlobHash(): Buffer { + const hash = sha256(this.commitment.compress()); + hash[0] = VERSIONED_HASH_VERSION_KZG; + return hash; + } + + static getEthVersionedBlobHash(commitment: Buffer): Buffer { + const hash = sha256(commitment); + hash[0] = VERSIONED_HASH_VERSION_KZG; + return hash; + } + + /** + * Returns a proof of opening of the blobs to verify on L1 using the point evaluation precompile: + * + * input[:32] - versioned_hash + * input[32:64] - z + * input[64:96] - y + * input[96:144] - commitment C + * input[144:192] - commitment Q (a 'proof' committing to the quotient polynomial q(X)) + * + * See https://eips.ethereum.org/EIPS/eip-4844#point-evaluation-precompile + */ + getEthBlobEvaluationInputs(): `0x${string}` { + const buf = Buffer.concat([ + this.getEthVersionedBlobHash(), + this.z.toBuffer(), + this.y.toBuffer(), + this.commitment.compress(), + this.q.compress(), + ]); + return `0x${buf.toString('hex')}`; + } +} + +/** + * Final values z and gamma are injected into each block root circuit. We ensure they are correct by: + * - Checking equality in each block merge circuit and propagating up + * - Checking final z_acc == z in root circuit + * - Checking final gamma_acc == gamma in root circuit + * + * - z = H(...H(H(z_0, z_1) z_2)..z_n) + * - where z_i = H(H(fields of blob_i), C_i), + * - used such that p_i(z) = y_i = Blob.evaluationY for all n blob polynomials p_i(). + * - gamma = H(H(...H(H(y_0, y_1) y_2)..y_n), z) + * - used such that y = sum_i { gamma^i * y_i }, and C = sum_i { gamma^i * C_i } + * for all blob evaluations y_i (see above) and commitments C_i. + * + * Iteratively calculated by BlobAccumulatorPublicInputs.accumulate() in nr. See also precomputeBatchedBlobChallenges() above. + */ +export class FinalBlobBatchingChallenges { + constructor( + public readonly z: Fr, + public readonly gamma: BLS12Fr, + ) {} + + equals(other: FinalBlobBatchingChallenges) { + return this.z.equals(other.z) && this.gamma.equals(other.gamma); + } + + static empty(): FinalBlobBatchingChallenges { + return new FinalBlobBatchingChallenges(Fr.ZERO, BLS12Fr.ZERO); + } + + static fromBuffer(buffer: Buffer | BufferReader): FinalBlobBatchingChallenges { + const reader = BufferReader.asReader(buffer); + return new FinalBlobBatchingChallenges(Fr.fromBuffer(reader), reader.readObject(BLS12Fr)); + } + + toBuffer() { + return serializeToBuffer(this.z, this.gamma); + } +} + +/** + * See noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr -> BlobAccumulatorPublicInputs + */ +export class BatchedBlobAccumulator { + constructor( + /** Hash of Cs (to link to L1 blob hashes). */ + public readonly blobCommitmentsHashAcc: Fr, + /** Challenge point z_acc. Final value used such that p_i(z) = y_i. */ + public readonly zAcc: Fr, + /** Evaluation y_acc. Final value is is linear combination of all evaluations y_i = p_i(z) with gamma. */ + public readonly yAcc: BLS12Fr, + /** Commitment c_acc. Final value is linear combination of all commitments C_i = [p_i] with gamma. */ + public readonly cAcc: BLS12Point, + /** KZG opening q_acc. Final value is linear combination of all blob kzg 'proofs' Q_i with gamma. */ + public readonly qAcc: BLS12Point, + /** + * Challenge point gamma_acc for multi opening. Used with y, C, and kzg 'proof' Q above. + * TODO(#13608): We calculate this by hashing natively in the circuit (hence Fr representation), but it's actually used + * as a BLS12Fr field elt. Is this safe? Is there a skew? + */ + public readonly gammaAcc: Fr, + /** Simply gamma^(i + 1) at blob i. Used for calculating the i'th element of the above linear comb.s */ + public readonly gammaPow: BLS12Fr, + /** Final challenge values used in evaluation. Optimistically input and checked in the final acc. */ + public readonly finalBlobChallenges: FinalBlobBatchingChallenges, + ) {} + + /** + * Init the first accumulation state of the epoch. + * We assume the input blob has not been evaluated at z. + * + * First state of the accumulator: + * - v_acc := sha256(C_0) + * - z_acc := z_0 + * - y_acc := gamma^0 * y_0 = y_0 + * - c_acc := gamma^0 * c_0 = c_0 + * - gamma_acc := poseidon2(y_0.limbs) + * - gamma^(i + 1) = gamma^1 = gamma // denoted gamma_pow_acc + * + * TODO(MW): When moved to batching, we should ONLY evaluate individual blobs at z => won't need finalZ input. + * @returns An initial blob accumulator. + */ + static async initialize( + blob: Blob, + finalBlobChallenges: FinalBlobBatchingChallenges, + ): Promise { + const [q, evaluation] = computeKzgProof(blob.data, finalBlobChallenges.z.toBuffer()); + const firstY = BLS12Fr.fromBuffer(Buffer.from(evaluation)); + // Here, i = 0, so: + return new BatchedBlobAccumulator( + sha256ToField([blob.commitment]), // blobCommitmentsHashAcc = sha256(C_0) + blob.challengeZ, // zAcc = z_0 + firstY, // yAcc = gamma^0 * y_0 = 1 * y_0 + BLS12Point.decompress(blob.commitment), // cAcc = gamma^0 * C_0 = 1 * C_0 + BLS12Point.decompress(Buffer.from(q)), // qAcc = gamma^0 * Q_0 = 1 * Q_0 + await hashNoirBigNumLimbs(firstY), // gammaAcc = poseidon2(y_0.limbs) + finalBlobChallenges.gamma, // gammaPow = gamma^(i + 1) = gamma^1 = gamma + finalBlobChallenges, + ); + } + + /** + * Create the empty accumulation state of the epoch. + * @returns An empty blob accumulator with challenges. + */ + static newWithChallenges(finalBlobChallenges: FinalBlobBatchingChallenges): BatchedBlobAccumulator { + return new BatchedBlobAccumulator( + Fr.ZERO, + Fr.ZERO, + BLS12Fr.ZERO, + BLS12Point.ZERO, + BLS12Point.ZERO, + Fr.ZERO, + BLS12Fr.ZERO, + finalBlobChallenges, + ); + } + + /** + * Given blob i, accumulate all state. + * We assume the input blob has not been evaluated at z. + * TODO(MW): Currently returning new accumulator. May be better to mutate in future? + * @returns An updated blob accumulator. + */ + async accumulate(blob: Blob) { + if (this.isEmptyState()) { + return BatchedBlobAccumulator.initialize(blob, this.finalBlobChallenges); + } else { + const [q, evaluation] = computeKzgProof(blob.data, this.finalBlobChallenges.z.toBuffer()); + const thisY = BLS12Fr.fromBuffer(Buffer.from(evaluation)); + + // Moving from i - 1 to i, so: + return new BatchedBlobAccumulator( + sha256ToField([this.blobCommitmentsHashAcc, blob.commitment]), // blobCommitmentsHashAcc := sha256(blobCommitmentsHashAcc, C_i) + await poseidon2Hash([this.zAcc, blob.challengeZ]), // zAcc := poseidon2(zAcc, z_i) + this.yAcc.add(thisY.mul(this.gammaPow)), // yAcc := yAcc + (gamma^i * y_i) + this.cAcc.add(BLS12Point.decompress(blob.commitment).mul(this.gammaPow)), // cAcc := cAcc + (gamma^i * C_i) + this.qAcc.add(BLS12Point.decompress(Buffer.from(q)).mul(this.gammaPow)), // qAcc := qAcc + (gamma^i * C_i) + await poseidon2Hash([this.gammaAcc, await hashNoirBigNumLimbs(thisY)]), // gammaAcc := poseidon2(gammaAcc, poseidon2(y_i.limbs)) + this.gammaPow.mul(this.finalBlobChallenges.gamma), // gammaPow = gamma^(i + 1) = gamma^i * final_gamma + this.finalBlobChallenges, + ); + } + } + + /** + * Given blobs, accumulate all state. + * We assume the input blobs have not been evaluated at z. + * @returns An updated blob accumulator. + */ + async accumulateBlobs(blobs: Blob[]) { + // eslint-disable-next-line @typescript-eslint/no-this-alias + let acc: BatchedBlobAccumulator = this; // TODO(MW): this.clone() + for (let i = 0; i < blobs.length; i++) { + acc = await acc.accumulate(blobs[i]); + } + return acc; + } + + /** + * Finalize accumulation state of the epoch. + * We assume ALL blobs in the epoch have been accumulated. + * + * Final accumulated values: + * - v := v_acc (hash of all commitments (C_i s) to be checked on L1) + * - z := z_acc (final challenge, at which all blobs are evaluated) + * - y := y_acc (final opening to be checked on L1) + * - c := c_acc (final commitment to be checked on L1) + * - gamma := poseidon2(gamma_acc, z) (challenge for linear combination of y and C, above) + * + * @returns A batched blob. + */ + async finalize(): Promise { + // All values in acc are final, apart from gamma := poseidon2(gammaAcc, z): + const calculatedGamma = await poseidon2Hash([this.gammaAcc, this.zAcc]); + // Check final values: + if (!this.zAcc.equals(this.finalBlobChallenges.z)) { + throw new Error( + `Blob batching mismatch: accumulated z ${this.zAcc} does not equal injected z ${this.finalBlobChallenges.z}`, + ); + } + if (!calculatedGamma.equals(this.finalBlobChallenges.gamma.toBN254Fr())) { + throw new Error( + `Blob batching mismatch: accumulated gamma ${calculatedGamma} does not equal injected gamma ${this.finalBlobChallenges.gamma.toBN254Fr()}`, + ); + } + if (!verifyKzgProof(this.cAcc.compress(), this.zAcc.toBuffer(), this.yAcc.toBuffer(), this.qAcc.compress())) { + throw new Error(`KZG proof did not verify.`); + } + + return new BatchedBlob(this.blobCommitmentsHashAcc, this.zAcc, this.yAcc, this.cAcc, this.qAcc); + } + + isEmptyState() { + return ( + this.blobCommitmentsHashAcc.isZero() && + this.zAcc.isZero() && + this.yAcc.isZero() && + this.cAcc.isZero() && + this.qAcc.isZero() && + this.gammaAcc.isZero() && + this.gammaPow.isZero() + ); + } +} + +// To mimic the hash accumulation in the rollup circuits, here we hash +// each u128 limb of the noir bignum struct representing the BLS field. +async function hashNoirBigNumLimbs(field: BLS12Field): Promise { + const num = field.toNoirBigNum(); + return await poseidon2Hash(num.limbs.map(Fr.fromHexString)); +} diff --git a/yarn-project/blob-lib/src/index.ts b/yarn-project/blob-lib/src/index.ts index e2339b805652..5e19e354cfc9 100644 --- a/yarn-project/blob-lib/src/index.ts +++ b/yarn-project/blob-lib/src/index.ts @@ -3,6 +3,7 @@ import cKzg from 'c-kzg'; const { loadTrustedSetup } = cKzg; export * from './blob.js'; +export * from './blob_batching.js'; export * from './encoding.js'; export * from './interface.js'; export * from './errors.js'; diff --git a/yarn-project/blob-lib/src/trusted_setup_bit_reversed.json b/yarn-project/blob-lib/src/trusted_setup_bit_reversed.json new file mode 100644 index 000000000000..382ff3b757c8 --- /dev/null +++ b/yarn-project/blob-lib/src/trusted_setup_bit_reversed.json @@ -0,0 +1,4100 @@ +{ + "g1_lagrange_bit_reversed": [ + "0xa0413c0dcafec6dbc9f47d66785cf1e8c981044f7d13cfe3e4fcbb71b5408dfde6312493cb3c1d30516cb3ca88c03654", + "0x837567ad073e42266951a9a54750919280a2ac835a73c158407c3a2b1904cf0d17b7195a393c71a18ad029cbd9cf79ee", + "0xabfae52f53a4b6e00760468d973a267f29321997c3dbb5aee36dc1f20619551229c0c45b9d9749f410e7f531b73378e8", + "0xb3b483d31c88f78d49bd065893bc1e3d2aa637e27dedb46d9a7d60be7660ce7a10aaaa7deead362284a52e6d14021178", + "0xa03dc4059b46effdd786a0a03cc17cfee8585683faa35bb07936ded3fa3f3a097f518c0b8e2db92fd700149db1937789", + 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"0x9064c688fec23441a274cdf2075e5a449caf5c7363cc5e8a5dc9747183d2e00a0c69f2e6b3f6a7057079c46014c93b3b", + "0x81381afe6433d62faf62ea488f39675e0091835892ecc238e02acf1662669c6d3962a71a3db652f6fe3bc5f42a0e5dc5", + "0xab59895cdafd33934ceedfc3f0d5d89880482cba6c99a6db93245f9e41987efd76e0640e80aef31782c9a8c7a83fccec", + "0x96b89f39181141a7e32986ac02d7586088c5a9662cec39843f397f3178714d02f929af70630c12cbaba0268f8ba2d4fa", + "0x81efb17de94400fdacc1deec2550cbe3eecb27c7af99d8207e2f9be397e26be24a40446d2a09536bb5172c28959318d9", + "0xb7201589de7bed094911dd62fcd25c459a8e327ac447b69f541cdba30233063e5ddffad0b67e9c3e34adcffedfd0e13d", + "0xb0c538dbba4954b809ab26f9f94a3cf1dcb77ce289eaec1d19f556c0ae4be1fa03af4a9b7057837541c3cc0a80538736", + "0x8526eb9bd31790fe8292360d7a4c3eed23be23dd6b8b8f01d2309dbfdc0cfd33ad1568ddd7f8a610f3f85a9dfafc6a92", + "0xa4f1f50e1e2a73f07095e0dd31cb45154f24968dae967e38962341c1241bcd473102fff1ff668b20c6547e9732d11701", + "0xaaaede243a9a1b6162afbc8f571a52671a5a4519b4062e3f26777664e245ba873ed13b0492c5dbf0258c788c397a0e9e", + "0xae8213378da1287ba1fe4242e1acaec19b877b6fe872400013c6eac1084b8d03156792fa3020201725b08228a1e80f49", + "0xaed3ab927548bc8bec31467ba80689c71a168e34f50dcb6892f19a33a099f5aa6b3f9cb79f5c0699e837b9a8c7f27efe", + "0xb208fabaa742d7db3148515330eb7a3577487845abdb7bd9ed169d0e081db0a5816595c33d375e56aeac5b51e60e49d3", + "0xa7af47cd0041295798f9779020a44653007444e8b4ef0712982b06d0dcdd434ec4e1f7c5f7a049326602cb605c9105b7", + "0x826891efbdff0360446825a61cd1fa04326dd90dae8c33dfb1ed97b045e165766dd070bd7105560994d0b2044bdea418", + "0xa389fd6c59fe2b4031cc244e22d3991e541bd203dd5b5e73a6159e72df1ab41d49994961500dcde7989e945213184778", + "0x821f9d27d6beb416abf9aa5c79afb65a50ed276dbda6060103bc808bcd34426b82da5f23e38e88a55e172f5c294b4d40", + "0x8c856089488803066bff3f8d8e09afb9baf20cecc33c8823c1c0836c3d45498c3de37e87c016b705207f60d2b00f8609", + "0x84681a883de8e4b93d68ac10e91899c2bbb815ce2de74bb48a11a6113b2a3f4df8aceabda1f5f67bc5aacac8c9da7221", + "0xa9554c5c921c07b450ee04e34ec58e054ac1541b26ce2ce5a393367a97348ba0089f53db6660ad76b60278b66fd12e3e", + "0x8cd488dd7a24f548a3cf03c54dec7ff61d0685cb0f6e5c46c2d728e3500d8c7bd6bba0156f4bf600466fda53e5b20444", + "0xa53249f417aac82f2c2a50c244ce21d3e08a5e5a8bd33bec2a5ab0d6cd17793e34a17edfa3690899244ce201e2fb9986", + "0xb3cc15f635080bc038f61b615f62b5b5c6f2870586191f59476e8368a73641d6ac2f7d0c1f54621982defdb318020230", + "0x8a00466abf3f109a1dcd19e643b603d3af23d42794ef8ca2514dd507ecea44a031ac6dbc18bd02f99701168b25c1791e", + "0xad3564332aa56cea84123fc7ca79ea70bb4fef2009fa131cb44e4b15e8613bd11ca1d83b9d9bf456e4b7fee9f2e8b017", + "0xa3f65884506d4a62b8775a0ea0e3d78f5f46bc07910a93cd604022154eabdf1d73591e304d61edc869e91462951975e1", + "0xb4b9e19edb4a33bde8b7289956568a5b6b6557404e0a34584b5721fe6f564821091013fbb158e2858c6d398293bb4b59", + "0xb87f2d4af6d026e4d2836bc3d390a4a18e98a6e386282ce96744603bab74974272e97ac2da281afa21885e2cbb3a8001", + "0xb69a12df293c014a40070e3e760169b6f3c627caf9e50b35a93f11ecf8df98b2bc481b410eecb7ab210bf213bbe944de", + "0xa27a60d219f1f0c971db73a7f563b371b5c9fc3ed1f72883b2eac8a0df6698400c9954f4ca17d7e94e44bd4f95532afb", + "0x8196b03d011e5be5288196ef7d47137d6f9237a635ab913acdf9c595fa521d9e2df722090ec7eb0203544ee88178fc5f", + "0xb5f0203233cf71913951e9c9c4e10d9243e3e4a1f2cb235bf3f42009120ba96e04aa414c9938ea8873b63148478927e8", + "0xa670542629e4333884ad7410f9ea3bd6f988df4a8f8a424ca74b9add2312586900cf9ae8bd50411f9146e82626b4af56", + "0xa3cb22f6b675a29b2d1f827cacd30df14d463c93c3502ef965166f20d046af7f9ab7b2586a9c64f4eae4fad2d808a164", + "0xa1e760f7fa5775a1b2964b719ff961a92083c5c617f637fc46e0c9c20ab233f8686f7f38c3cb27d825c54dd95e93a59b", + "0xb9636b2ffe305e63a1a84bd44fb402442b1799bd5272638287aa87ca548649b23ce8ce7f67be077caed6aa2dbc454b78", + "0x879e8eda589e1a279f7f49f6dd0580788c040d973748ec4942dbe51ea8fbd05983cc919b78f0c6b92ef3292ae29db875", + "0x8f5a97a801b6e9dcd66ccb80d337562c96f7914e7169e8ff0fda71534054c64bf2a9493bb830623d612cfe998789be65", + "0xa6217c311f2f3db02ceaa5b6096849fe92b6f4b6f1491535ef8525f6ccee6130bed2809e625073ecbaddd4a3eb3df186", + "0x87b3b36e725833ea0b0f54753c3728c0dbc87c52d44d705ffc709f2d2394414c652d3283bab28dcce09799504996cee0", + "0xa346aab07564432f802ae44738049a36f7ca4056df2d8f110dbe7fef4a3e047684dea609b2d03dc6bf917c9c2a47608f", + "0x8ee178937294b8c991337e0621ab37e9ffa4ca2bdb3284065c5e9c08aad6785d50cf156270ff9daf9a9127289710f55b", + "0x961b714faebf172ad2dbc11902461e286e4f24a99a939152a53406117767682a571057044decbeb3d3feef81f4488497", + "0xb60979ace17d6937ece72e4f015da4657a443dd01cebc7143ef11c09e42d4aa8855999a65a79e2ea0067f31c9fc2ab0f", + "0xb9c2535d362796dcd673640a9fa2ebdaec274e6f8b850b023153b0a7a30fffc87f96e0b72696f647ebe7ab63099a6963", + "0x80fff0bafcd058118f5e7a4d4f1ae0912efeb281d2cbe4d34ba8945cc3dbe5d8baf47fb077343b90b8d895c90b297aca", + "0x82155fd70f107ab3c8e414eadf226c797e07b65911508c76c554445422325e71af8c9a8e77fd52d94412a6fc29417cd3", + "0x91dcd6d14207aa569194aa224d1e5037b999b69ade52843315ca61ba26abe9a76412c9e88259bc5cf5d7b95b97d9c3bc", + "0x96ee0b91313c68bac4aa9e065ce9e1d77e51ca4cff31d6a438718c58264dee87674bd97fc5c6b8008be709521e4fd008", + "0x825a6f586726c68d45f00ad0f5a4436523317939a47713f78fd4fe81cd74236fdac1b04ecd97c2d0267d6f4981d7beb1" + ] +} diff --git a/yarn-project/foundation/package.json b/yarn-project/foundation/package.json index 6e16b2423847..da90be059905 100644 --- a/yarn-project/foundation/package.json +++ b/yarn-project/foundation/package.json @@ -103,7 +103,7 @@ "@aztec/bb.js": "portal:../../barretenberg/ts", "@koa/cors": "^5.0.0", "@noble/curves": "^1.2.0", - "c-kzg": "4.0.0-alpha.1", + "bn.js": "^5.2.1", "colorette": "^2.0.20", "detect-node": "^2.1.0", "hash.js": "^1.1.7", diff --git a/yarn-project/foundation/src/fields/bls12_fields.test.ts b/yarn-project/foundation/src/fields/bls12_fields.test.ts new file mode 100644 index 000000000000..3137c91e6595 --- /dev/null +++ b/yarn-project/foundation/src/fields/bls12_fields.test.ts @@ -0,0 +1,305 @@ +import { randomBigInt } from '../crypto/index.js'; +import { BLS12Fq, BLS12Fr } from './bls12_fields.js'; +import { Fr } from './fields.js'; + +function testFn(Field: any, name: string) { + describe(`${name} Serialization`, () => { + // Test case for Field.fromBuffer + it('fromBuffer should serialize and deserialize correctly', () => { + const original = Field.random(); + const buffer = original.toBuffer(); + const deserialized = Field.fromBuffer(buffer); + + // Check if the deserialized instance is equal to the original + expect(deserialized).toEqual(original); + }); + + // Test case for Field.fromNoirBigNum + it('fromNoirBigNum should serialize and deserialize correctly', () => { + const original = Field.random(); + const bignum = original.toNoirBigNum(); + const deserialized = Field.fromNoirBigNum(bignum); + + // Check if the deserialized instance is equal to the original + expect(deserialized).toEqual(original); + }); + + // Test case for Field.fromString + it('fromString should serialize and deserialize correctly', () => { + const original = Field.random(); + const hexString = original.toString(); + const deserialized = Field.fromString(hexString); + + // Check if the deserialized instance is equal to the original + expect(deserialized).toEqual(original); + + // Note odd number of digits + const arbitraryNumericString = '123'; + const arbitraryNumericStringPrepended = '0x123'; + const expectedBigIntFromHex = 291n; + + const anotherString = '1000a000'; + const anotherStringPrepended = '0x1000a000'; + + const expectedValueOfAnotherHexString = 268476416n; + + expect(Field.fromString(arbitraryNumericString).toBigInt()).toEqual(BigInt(arbitraryNumericString)); + expect(Field.fromString(arbitraryNumericStringPrepended).toBigInt()).toEqual(expectedBigIntFromHex); + + expect(() => Field.fromString(anotherString)).toThrow(`Tried to create a BLS12${name} from an invalid string`); + expect(Field.fromString(anotherStringPrepended).toBigInt()).toEqual(expectedValueOfAnotherHexString); + + const nonHexEncodedString = '0x12xx34xx45'; + expect(() => Field.fromHexString(nonHexEncodedString)).toThrow('Invalid hex-encoded string'); + }); + + // Test case for Field.fromHexString + it('fromHexString should serialize and deserialize correctly', () => { + const original = Field.random(); + const hexString = original.toString(); + const deserialized = Field.fromHexString(hexString); + + // Check if the deserialized instance is equal to the original** + expect(deserialized).toEqual(original); + + // Note odd number of digits + const arbitraryNumericString = '123'; + const arbitraryNumericStringPrepended = '0x123'; + const expectedBigIntFromHex = 291n; + + const anotherString = 'deadbeef'; + const anotherStringPrepended = '0xdeadbeef'; + + const expectedValueOfAnotherHexString = 3735928559n; + + expect(Field.fromHexString(arbitraryNumericString).toBigInt()).toEqual(expectedBigIntFromHex); + expect(Field.fromHexString(arbitraryNumericStringPrepended).toBigInt()).toEqual(expectedBigIntFromHex); + + expect(Field.fromHexString(anotherString).toBigInt()).toEqual(expectedValueOfAnotherHexString); + expect(Field.fromHexString(anotherStringPrepended).toBigInt()).toEqual(expectedValueOfAnotherHexString); + + const nonHexEncodedString = '12xx34xx45'; + + expect(() => Field.fromHexString(nonHexEncodedString).toBigInt()).toThrow(); + }); + + if (name == 'Fr') { + // Test case for Field.fromBN254Fr + it('fromBN254Fr and toBN254Fr should convert correctly', () => { + const original = Fr.random(); + const bls = Field.fromBN254Fr(original); + const bn = bls.toBN254Fr(); + // Check if the deserialized instance is equal to the original + expect(bn).toEqual(original); + }); + + // Test case for Field.fromBN254Fr + it('rejects fields too large for BN254', () => { + const bls = Field.MAX_FIELD_VALUE; + expect(() => bls.toBN254Fr()).toThrow('too large'); + const zero = new Field(Fr.MODULUS); + expect(() => zero.toBN254Fr()).toThrow('too large'); + }); + } + }); + + describe(`Arithmetic on ${name}`, () => { + describe('Addition', () => { + it('Low Boundary', () => { + // 0 + -1 = -1 + const a = Field.ZERO; + const b = Field.MAX_FIELD_VALUE; + const expected = Field.MAX_FIELD_VALUE; + + const actual = a.add(b); + + expect(actual).toEqual(expected); + }); + + it('High Boundary', () => { + // -1 + 1 = 0 + const a = Field.MAX_FIELD_VALUE; + const b = new Field(1); + const expected = Field.ZERO; + + const actual = a.add(b); + + expect(actual).toEqual(expected); + }); + + it('Performs addition correctly', () => { + const a = new Field(2); + const b = new Field(3); + const expected = new Field(5); + + const actual = a.add(b); + expect(actual).toEqual(expected); + }); + }); + + describe('Subtraction', () => { + it('Low Boundary', () => { + // 0 - 1 = -1 + const a = new Field(0); + const b = new Field(1); + const expected = Field.MAX_FIELD_VALUE; + + const actual = a.sub(b); + + expect(actual).toEqual(expected); + }); + + it('High Boundary', () => { + // -1 - (-1) = 0 + const a = Field.MAX_FIELD_VALUE; + const b = Field.MAX_FIELD_VALUE; + + const actual = a.sub(b); + + expect(actual).toEqual(Field.ZERO); + }); + + it('Performs subtraction correctly', () => { + const a = new Field(10); + const b = new Field(5); + const expected = new Field(5); + + const actual = a.sub(b); + expect(actual).toEqual(expected); + }); + }); + + describe('Multiplication', () => { + it('Identity', () => { + const a = Field.MAX_FIELD_VALUE; + const b = new Field(1); + const expected = Field.MAX_FIELD_VALUE; + + const actual = a.mul(b); + + expect(actual).toEqual(expected); + }); + + it('Performs multiplication correctly', () => { + const a = new Field(2); + const b = new Field(3); + const expected = new Field(6); + + const actual = a.mul(b); + expect(actual).toEqual(expected); + }); + + it('High Boundary', () => { + const a = Field.MAX_FIELD_VALUE; + const b = Field.random(); + const expected = b.negate(); + + const actual = a.mul(b); + expect(actual).toEqual(expected); + }); + }); + + describe('Division', () => { + it('Should succeed when mod inverse is -ve', () => { + const a = new Field(2); + const b = new Field(3); + + const actual = a.div(b); + expect(actual.mul(b)).toEqual(a); + }); + + it('Should succeed when mod inverse is +ve', () => { + const a = new Field(10); + const b = new Field(5); + const expected = new Field(2); + + const actual = a.div(b); + expect(actual.mul(b)).toEqual(a); + expect(actual).toEqual(expected); + }); + + it('Should not allow a division by 0', () => { + const a = new Field(10); + const b = Field.ZERO; + + expect(() => a.div(b)).toThrow(); + }); + }); + + describe('Square root', () => { + it.each([ + [new Field(0), 0n], + [new Field(4), 2n], + [new Field(9), 3n], + [new Field(16), 4n], + ])('Should return the correct square root for %p', (input, expected) => { + const actual = input.sqrt()!.toBigInt(); + + // The square root can be either the expected value or the modulus - expected value + const isValid = actual == expected || actual == Field.MODULUS - expected; + + expect(isValid).toBeTruthy(); + }); + + it('Should return the correct square root for random value', () => { + const a = Field.random(); + const squared = a.mul(a); + + const actual = squared.sqrt(); + expect(actual!.mul(actual!)).toEqual(squared); + }); + }); + + describe('Power', () => { + it.each([ + [new Field(0), 0n, 1n], + [new Field(2), 1n, 2n], + [new Field(2), 2n, 4n], + [new Field(10n), 8n, 100_000_000n], + ])('Should return the correct power for %p', (input, pow, expected) => { + const actual = input.pow(pow).toBigInt(); + + // The square root can be either the expected value or the modulus - expected value + const isValid = actual == expected || actual == Field.MODULUS - expected; + + expect(isValid).toBeTruthy(); + }); + + it('Should return the correct power for random value', () => { + const a = Field.random(); + const power = 11n; + let expected = a; + for (let i = 1; i < power; i++) { + expected = expected.mul(a); + } + const actual = a.pow(power); + expect(actual).toEqual(expected); + }); + + it('Performs power correctly', () => { + // (a^b) * (a^c) = a^(b + c) + const a = Field.random(); + const b = randomBigInt(10_000n); + const c = randomBigInt(10_000n); + const expected = a.pow(b + c); + const actual = a.pow(b).mul(a.pow(c)); + + expect(actual).toEqual(expected); + }); + + it('High Boundary', () => { + // (-1) ^ (odd) = -1 + const a = Field.MAX_FIELD_VALUE; + const b = randomBigInt(10_000n); + const expected = b % 2n ? Field.MAX_FIELD_VALUE : Field.ONE; + + const actual = a.pow(b); + + expect(actual).toEqual(expected); + }); + }); + }); +} + +testFn(BLS12Fr, 'Fr'); +testFn(BLS12Fq, 'Fq'); diff --git a/yarn-project/foundation/src/fields/bls12_fields.ts b/yarn-project/foundation/src/fields/bls12_fields.ts new file mode 100644 index 000000000000..7cef0c17113a --- /dev/null +++ b/yarn-project/foundation/src/fields/bls12_fields.ts @@ -0,0 +1,463 @@ +/* eslint-disable camelcase */ +import { bls12_381 } from '@noble/curves/bls12-381'; +import { inspect } from 'util'; + +import { toBigIntBE, toBufferBE } from '../bigint-buffer/index.js'; +import { randomBytes } from '../crypto/random/index.js'; +import { hexSchemaFor } from '../schemas/utils.js'; +import { BufferReader } from '../serialize/buffer_reader.js'; +import { TypeRegistry } from '../serialize/type_registry.js'; +import { Fr } from './fields.js'; + +/** + * Represents a field derived from BLS12Field. + */ +type BLS12DerivedField = { + new (value: any): T; + /** + * All derived fields will specify MODULUS and SIZE_IN_BYTES. + */ + MODULUS: bigint; + SIZE_IN_BYTES: number; +}; + +/** + * Base BLS12field class. + */ +export abstract class BLS12Field { + private asBuffer?: Buffer; + private asBigInt?: bigint; + + protected constructor(value: number | bigint | Buffer) { + if (Buffer.isBuffer(value)) { + if (value.length > this.size()) { + throw new Error(`Value length ${value.length} exceeds ${this.size()}`); + } + this.asBuffer = + value.length === this.size() ? value : Buffer.concat([Buffer.alloc(this.size() - value.length), value]); + this.toBigInt(); + } else if (typeof value === 'bigint' || typeof value === 'number') { + this.asBigInt = BigInt(value); + if (this.asBigInt >= this.modulus()) { + throw new Error(`Value 0x${this.asBigInt.toString(16)} is greater or equal to field modulus.`); + } + this.toBuffer(); + } else { + throw new Error(`Type '${typeof value}' with value '${value}' passed to BLS12Field constructor.`); + } + } + + protected abstract modulus(): bigint; + protected abstract size(): number; + + /** + * We return a copy of the Buffer to ensure this remains immutable. + */ + toBuffer(): Buffer { + if (!this.asBuffer) { + this.asBuffer = toBufferBE(this.asBigInt!, this.size()); + } + return Buffer.from(this.asBuffer); + } + + toString(): `0x${string}` { + return `0x${this.toBuffer().toString('hex')}`; + } + + toBigInt(): bigint { + if (this.asBigInt === undefined) { + this.asBigInt = toBigIntBE(this.asBuffer!); + if (this.asBigInt >= this.modulus()) { + throw new Error(`Value 0x${this.asBigInt.toString(16)} is greater or equal to field modulus.`); + } + } + return this.asBigInt; + } + + toNoirBigNum(): { limbs: string[] } { + const buffer = this.toBuffer(); + const limbs = []; + // Split into 120 bit (=15 byte) limbs + for (let i = 0; i < Math.ceil(this.size() / 15); i++) { + limbs.push(buffer.subarray(-(i + 1) * 15, this.size() - i * 15)); + } + return { + limbs: limbs.map(l => `0x${l.toString('hex')}`), + }; + } + + equals(rhs: BLS12Field): boolean { + return this.toBuffer().equals(rhs.toBuffer()); + } + + lt(rhs: BLS12Field): boolean { + return this.toBigInt() < rhs.toBigInt(); + } + + isZero(): boolean { + return this.toBigInt() === 0n; + } + + isEmpty(): boolean { + return this.isZero(); + } + + isNegative(): boolean { + // Returns whether the field element is above the halfway point of (p-1)/2 + // Generally referred to as 'negative' but also referred to as 'greater' (e.g. in point compression) + return this.toBigInt() > (this.modulus() - 1n) / 2n; + } + + toFriendlyJSON(): string { + return this.toString(); + } + + toField() { + return this; + } +} + +/** + * Constructs a field from a Buffer of BufferReader. + * It maybe not read the full SIZE_IN_BYTES bytes if the Buffer is shorter, but it will padded in BLS12Field constructor. + */ +function fromBuffer(buffer: Buffer | BufferReader, f: BLS12DerivedField) { + const reader = BufferReader.asReader(buffer); + return new f(reader.readBytes(f.SIZE_IN_BYTES)); +} + +/** + * Returns a random field element. + */ +function random(f: BLS12DerivedField): T { + return new f(toBigIntBE(randomBytes(f.SIZE_IN_BYTES * 2)) % f.MODULUS); +} + +/** + * Constructs a field from a 0x prefixed hex string. + */ +function fromHexString(str: string, f: BLS12DerivedField) { + return new f(bufferFromHexString(str)); +} + +/** + * Constructs a field from noir BigNum type. + */ +function fromNoirBigNum(bignum: { limbs: string[] }, f: BLS12DerivedField) { + // We have 120 bit (=15 byte) limbs + let bigint = 0n; + for (let i = 0; i < bignum.limbs.length; i++) { + bigint += BigInt(bignum.limbs[i]) << BigInt(120 * i); + } + return new f(bigint); +} + +/** + * Constructs a buffer from a hex string. + * Differs from bigint-buffer's fromHex() by allowing odd number of characters. + */ +function bufferFromHexString(str: string) { + const withoutPrefix = str.replace(/^0x/i, ''); + const checked = withoutPrefix.match(/^[0-9A-F]+$/i)?.[0]; + if (checked === undefined) { + throw new Error(`Invalid hex-encoded string: "${str}"`); + } + return Buffer.from(checked.length % 2 === 1 ? '0' + checked : checked, 'hex'); +} + +/** + * Fr field class. + * @dev This class is used to represent elements of BLS12-381 scalar field. + */ +export class BLS12Fr extends BLS12Field { + static SIZE_IN_BYTES = bls12_381.fields.Fr.BYTES; + static MODULUS = bls12_381.fields.Fr.ORDER; + static ZERO = new BLS12Fr(0n); + static ONE = new BLS12Fr(1n); + static MAX_FIELD_VALUE = new BLS12Fr(this.MODULUS - 1n); + + constructor(value: number | bigint | Buffer) { + super(value); + } + + [inspect.custom]() { + return `BLS12Fr<${this.toString()}>`; + } + + protected modulus() { + return BLS12Fr.MODULUS; + } + + protected size() { + return BLS12Fr.SIZE_IN_BYTES; + } + + static random() { + return random(BLS12Fr); + } + + static zero() { + return BLS12Fr.ZERO; + } + + static isZero(value: BLS12Fr) { + return value.isZero(); + } + + static fromBuffer(buffer: Buffer | BufferReader) { + return fromBuffer(buffer, BLS12Fr); + } + + /** + * Creates a BLS12Fr instance from a string. + * @param buf - the string to create a BLS12Fr from. + * @returns the BLS12Fr instance + * @remarks if the string only consists of numbers, we assume we are parsing a bigint, + * otherwise we require the hex string to be prepended with "0x", to ensure there is no misunderstanding + * as to what is being parsed. + */ + static fromString(buf: string) { + if (buf.match(/^\d+$/) !== null) { + return new BLS12Fr(toBufferBE(BigInt(buf), BLS12Fr.SIZE_IN_BYTES)); + } + if (buf.match(/^0x/i) !== null) { + return fromHexString(buf, BLS12Fr); + } + + throw new Error(`Tried to create a BLS12Fr from an invalid string: ${buf}`); + } + + /** + * Creates a BLS12Fr instance from a hex string. + * @param buf - a hex encoded string. + * @returns the BLS12Fr instance + */ + static fromHexString(buf: string) { + return fromHexString(buf, BLS12Fr); + } + + /** + * Constructs a field from noir BigNum type. + */ + static fromNoirBigNum(bignum: { limbs: string[] }) { + return fromNoirBigNum(bignum, BLS12Fr); + } + + /** + * Creates a BLS12Fr instance from a BN254 Fr instance. + * @dev The BN254 field size < BLS12_381, so we cannot overflow here. + * Useful for blob related calculations. + * @param field - a BN254 Fr instance. + * @returns the BLS12Fr instance + */ + static fromBN254Fr(field: Fr) { + return BLS12Fr.fromBuffer(field.toBuffer()); + } + + /** + * Creates a BN254 Fr instance from a BLS12Fr instance. + * @dev The BN254 field size < BLS12_381, so we must check the size here + * Useful for blob related calculations. + * @param field - a BLS12Fr instance. + * @returns the BN254 Fr instance + */ + toBN254Fr() { + if (this.toBigInt() >= Fr.MODULUS) { + throw new Error(`BLS12-381 Fr field ${this} too large to be converted into a BN254 Fr field`); + } + return Fr.fromBuffer(this.toBuffer()); + } + + /** Arithmetic - wrapper around noble curves */ + + add(rhs: BLS12Fr) { + return new BLS12Fr(bls12_381.fields.Fr.add(this.toBigInt(), rhs.toBigInt())); + } + + square() { + return new BLS12Fr(bls12_381.fields.Fr.sqr(this.toBigInt())); + } + + negate() { + return new BLS12Fr(bls12_381.fields.Fr.neg(this.toBigInt())); + } + + sub(rhs: BLS12Fr) { + return new BLS12Fr(bls12_381.fields.Fr.sub(this.toBigInt(), rhs.toBigInt())); + } + + mul(rhs: BLS12Fr) { + return new BLS12Fr(bls12_381.fields.Fr.mul(this.toBigInt(), rhs.toBigInt())); + } + + div(rhs: BLS12Fr) { + return new BLS12Fr(bls12_381.fields.Fr.div(this.toBigInt(), rhs.toBigInt())); + } + + sqrt() { + // The noble library throws when the field does not have a sqrt. + // We would rather have it return null to avoid throwing when (e.g.) checking candidates. + let res; + try { + res = bls12_381.fields.Fr.sqrt(this.toBigInt()); + } catch (error: any) { + if (error.message.includes('Cannot find square root')) { + return null; + } else { + throw error; + } + } + return new BLS12Fr(res); + } + + pow(rhs: bigint) { + return new BLS12Fr(bls12_381.fields.Fr.pow(this.toBigInt(), rhs)); + } + + toJSON() { + return this.toString(); + } + + static get schema() { + return hexSchemaFor(BLS12Fr); + } +} + +// For deserializing JSON. +TypeRegistry.register('BLS12Fr', BLS12Fr); + +/** + * Fq field class. + * @dev This class is used to represent elements of BLS12-381 base field. + */ +export class BLS12Fq extends BLS12Field { + static SIZE_IN_BYTES = bls12_381.fields.Fp.BYTES; + static MODULUS = bls12_381.fields.Fp.ORDER; + static ZERO = new BLS12Fq(0n); + static ONE = new BLS12Fq(1n); + static MAX_FIELD_VALUE = new BLS12Fq(this.MODULUS - 1n); + + constructor(value: number | bigint | Buffer) { + super(value); + } + + [inspect.custom]() { + return `BLS12Fq<${this.toString()}>`; + } + + protected modulus() { + return BLS12Fq.MODULUS; + } + + protected size() { + return BLS12Fq.SIZE_IN_BYTES; + } + + static random() { + return random(BLS12Fq); + } + + static zero() { + return BLS12Fq.ZERO; + } + + static isZero(value: BLS12Fq) { + return value.isZero(); + } + + static fromBuffer(buffer: Buffer | BufferReader) { + return fromBuffer(buffer, BLS12Fq); + } + + /** + * Creates a BLS12Fq instance from a string. + * @param buf - the string to create a BLS12Fq from. + * @returns the BLS12Fq instance + * @remarks if the string only consists of numbers, we assume we are parsing a bigint, + * otherwise we require the hex string to be prepended with "0x", to ensure there is no misunderstanding + * as to what is being parsed. + */ + static fromString(buf: string) { + if (buf.match(/^\d+$/) !== null) { + return new BLS12Fq(toBufferBE(BigInt(buf), BLS12Fq.SIZE_IN_BYTES)); + } + if (buf.match(/^0x/i) !== null) { + return fromHexString(buf, BLS12Fq); + } + + throw new Error(`Tried to create a BLS12Fq from an invalid string: ${buf}`); + } + + /** + * Creates a BLS12Fq instance from a hex string. + * @param buf - a hex encoded string. + * @returns the BLS12Fq instance + */ + static fromHexString(buf: string) { + return fromHexString(buf, BLS12Fq); + } + + /** + * Constructs a field from noir BigNum type. + */ + static fromNoirBigNum(bignum: { limbs: string[] }) { + return fromNoirBigNum(bignum, BLS12Fq); + } + + /** Arithmetic - wrapper around noble curves */ + + add(rhs: BLS12Fq) { + return new BLS12Fq(bls12_381.fields.Fp.add(this.toBigInt(), rhs.toBigInt())); + } + + square() { + return new BLS12Fq(bls12_381.fields.Fp.sqr(this.toBigInt())); + } + + negate() { + return new BLS12Fq(bls12_381.fields.Fp.neg(this.toBigInt())); + } + + sub(rhs: BLS12Fq) { + return new BLS12Fq(bls12_381.fields.Fp.sub(this.toBigInt(), rhs.toBigInt())); + } + + mul(rhs: BLS12Fq) { + return new BLS12Fq(bls12_381.fields.Fp.mul(this.toBigInt(), rhs.toBigInt())); + } + + div(rhs: BLS12Fq) { + return new BLS12Fq(bls12_381.fields.Fp.div(this.toBigInt(), rhs.toBigInt())); + } + + sqrt() { + // The noble library throws when the field does not have a sqrt. + // We would rather have it return null to avoid throwing when (e.g.) checking candidates. + let res; + try { + res = bls12_381.fields.Fp.sqrt(this.toBigInt()); + } catch (error: any) { + if (error.message.includes('Cannot find square root')) { + return null; + } else { + throw error; + } + } + return new BLS12Fq(res); + } + + pow(rhs: bigint) { + return new BLS12Fq(bls12_381.fields.Fp.pow(this.toBigInt(), rhs)); + } + + toJSON() { + return this.toString(); + } + + static get schema() { + return hexSchemaFor(BLS12Fq); + } +} + +// For deserializing JSON. +TypeRegistry.register('BLS12Fq', BLS12Fq); diff --git a/yarn-project/foundation/src/fields/bls12_point.test.ts b/yarn-project/foundation/src/fields/bls12_point.test.ts new file mode 100644 index 000000000000..b8b31c254fa1 --- /dev/null +++ b/yarn-project/foundation/src/fields/bls12_point.test.ts @@ -0,0 +1,364 @@ +import { jsonParseWithSchema, jsonStringify } from '../json-rpc/convert.js'; +import { updateInlineTestData } from '../testing/files/index.js'; +import { BLS12Fq, BLS12Fr } from './bls12_fields.js'; +import { BLS12Point } from './bls12_point.js'; + +describe('BLS12Point', () => { + describe('Random', () => { + it('always returns a valid point', () => { + for (let i = 0; i < 100; ++i) { + const point = BLS12Point.random(); + expect(BLS12Point.isOnCurve(point.x, point.y)).toEqual(true); + } + }); + + it('returns different points on each call', () => { + const set = new Set(); + for (let i = 0; i < 100; ++i) { + set.add(BLS12Point.random()); + } + + expect(set.size).toEqual(100); + }); + }); + + describe('Failures', () => { + it('fails with invalid point', () => { + // Input a point not on the curve: + expect(() => new BLS12Point(BLS12Fq.ONE, BLS12Fq.ZERO, false)).toThrow('point is not on the BLS12-381 curve'); + }); + + it('fails with invalid infinity', () => { + // Input a valid point with incorrect isInfinite flag: + expect(() => new BLS12Point(BLS12Fq.ZERO, new BLS12Fq(2n), true)).toThrow('is not infinite'); + }); + }); + + describe('Compression', () => { + it('converts to and from x and sign of y coordinate', () => { + const p = BLS12Point.random(); + + const [x, sign] = p.toXAndSign(); + const p2 = BLS12Point.fromXAndSign(x, sign); + + expect(p).toEqual(p2); + }); + + it('converts G to and from compressed point', () => { + const p = BLS12Point.ONE; + const compressedFirstByte = p.compress()[0].toString(2); + // BLS12-381 compression contains three flags: + // 1: is_compressed (expect true) + const isCompressed = compressedFirstByte[0]; + expect(isCompressed).toEqual('1'); + // 2: is_infinity (expect false for G) + const isInf = compressedFirstByte[1]; + expect(isInf).toEqual('0'); + // 3: is_greater (whether y > (p - 1)/ 2, expect false for G) + const isGreater = compressedFirstByte[2]; + expect(isGreater).toEqual('0'); + const p2 = BLS12Point.decompress(p.compress()); + + expect(p).toEqual(p2); + }); + + it('converts 0 to and from compressed point', () => { + const p = BLS12Point.ZERO; + const compressedFirstByte = p.compress()[0].toString(2); + // 1: is_compressed (expect true) + const isCompressed = compressedFirstByte[0]; + expect(isCompressed).toEqual('1'); + // 2: is_infinity (expect true for 0) + const isInf = compressedFirstByte[1]; + expect(isInf).toEqual('1'); + // 3: is_greater (whether y > (p - 1)/ 2, expect false for 0) + const isGreater = compressedFirstByte[2]; + expect(isGreater).toEqual('0'); + const p2 = BLS12Point.decompress(p.compress()); + + expect(p).toEqual(p2); + expect(p.compress()).toEqual(BLS12Point.COMPRESSED_ZERO); + }); + + it('converts to and from random compressed point', () => { + const p = BLS12Point.random(); + const compressedFirstByte = p.compress()[0].toString(2); + // 1: is_compressed (expect true) + const isCompressed = compressedFirstByte[0]; + expect(isCompressed).toEqual('1'); + // 2: is_infinity + const isInf = compressedFirstByte[1]; + expect(isInf).toEqual(`${+p.isInfinite}`); + // 3: is_greater (whether y > (p - 1)/ 2)) + // equivalently, whether y > -y in the field + const isGreater = compressedFirstByte[2]; + expect(isGreater).toEqual(`${+(p.y.toBigInt() > p.y.negate().toBigInt())}`); + const p2 = BLS12Point.decompress(p.compress()); + + expect(p).toEqual(p2); + }); + + it('converts to and from static compressed point', () => { + const p = new BLS12Point(new BLS12Fq(0n), new BLS12Fq(2n), false); + const compressedFirstByte = p.compress()[0].toString(2); + // 1: is_compressed (expect true) + const isCompressed = compressedFirstByte[0]; + expect(isCompressed).toEqual('1'); + // 2: is_infinity (expect false) + const isInf = compressedFirstByte[1]; + expect(isInf).toEqual('0'); + // 3: is_greater (whether y > (p - 1)/ 2, expect false) + const isGreater = compressedFirstByte[2]; + expect(isGreater).toEqual('0'); + const p2 = BLS12Point.decompress(p.compress()); + + expect(p).toEqual(p2); + }); + + it('fails with invalid compression encoding', () => { + const p = BLS12Point.random(); + const compressed = p.compress(); + let test = Buffer.from(compressed); + // 1: flip is_compressed + test[0] ^= 0b1000_0000; + expect(() => BLS12Point.decompress(test)).toThrow('Invalid compressed G1 point'); + // reset + test = Buffer.from(compressed); + // 2: flip is_infinity + test[0] ^= 0b0100_0000; + expect(() => BLS12Point.decompress(test)).toThrow('Non-empty compressed G1 point'); + }); + + it('fails with invalid point', () => { + // Choose x such that x^3 + 4 = a quadratic non residue + // (=> x is not a valid x-coord) + let x; + while (!x) { + const candidate = BLS12Fq.random(); + const res = candidate.pow(3n).add(new BLS12Fq(4n)); + if (!res.sqrt() && !candidate.isZero()) { + x = candidate; + } + } + const compressed = x.toBuffer(); + // Add the mask with compressed = 1, infinite = 0, sort = 1 + compressed[0] |= 0b1010_0000; + expect(() => BLS12Point.decompress(compressed)).toThrow('point is not on the BLS12-381 curve'); + expect(() => BLS12Point.fromXAndSign(x, true)).toThrow('point is not on the BLS12-381 curve'); + }); + }); + + it('compressed point with greater sign matches Noir', () => { + const p = new BLS12Point( + new BLS12Fq(0x0f2f5f62cc6c3ab4c1ac1abcb9da9677e12796a76064f68c0d4f659f25a046a6d42616100269935afcb1b98c85d5e93en), + new BLS12Fq(0x0f0f2d3e3f3b48eae5fb8b8b1efb31c70b9e60e8fb551976c560b98e9554ab95ce3a9f24892593bdff45e837976d7857n), + false, + ); + expect(p.toXAndSign()[1]).toBe(false); + + const compressed = p.compress().toString('hex'); + expect(compressed).toMatchInlineSnapshot( + `"af2f5f62cc6c3ab4c1ac1abcb9da9677e12796a76064f68c0d4f659f25a046a6d42616100269935afcb1b98c85d5e93e"`, + ); + + const byteArrayString = `[${compressed.match(/.{1,2}/g)!.map(byte => parseInt(byte, 16))}]`; + + // Run with AZTEC_GENERATE_TEST_DATA=1 to update noir test data + updateInlineTestData( + 'noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr', + 'expected_compressed_point_greater', + byteArrayString, + ); + }); + + it('compressed point with not greater sign matches Noir', () => { + const p = new BLS12Point( + new BLS12Fq(0x0f2f5f62cc6c3ab4c1ac1abcb9da9677e12796a76064f68c0d4f659f25a046a6d42616100269935afcb1b98c85d5e93en), + new BLS12Fq(0x0af1e4abfa449daf65201c2b24507b1058d8ea9bf82ff948a1d01912615c4a8e507160da282e6c41bab917c868923254n), + false, + ); + expect(p.toXAndSign()[1]).toBe(true); + + const compressed = p.compress().toString('hex'); + expect(compressed).toMatchInlineSnapshot( + `"8f2f5f62cc6c3ab4c1ac1abcb9da9677e12796a76064f68c0d4f659f25a046a6d42616100269935afcb1b98c85d5e93e"`, + ); + + const byteArrayString = `[${compressed.match(/.{1,2}/g)!.map(byte => parseInt(byte, 16))}]`; + + // Run with AZTEC_GENERATE_TEST_DATA=1 to update noir test data + updateInlineTestData( + 'noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr', + 'expected_compressed_point_not_greater', + byteArrayString, + ); + }); + + describe('Serialization', () => { + it('serializes to and from buffer', () => { + const p = BLS12Point.random(); + const p2 = BLS12Point.fromBuffer(p.toBuffer()); + + expect(p).toEqual(p2); + }); + + it('serializes to and from string', () => { + const p = BLS12Point.random(); + const p2 = BLS12Point.fromString(p.toString()); + + expect(p).toEqual(p2); + }); + + it('serializes to and from fields', () => { + const p = BLS12Point.random(); + const p2 = BLS12Point.fromBLS12FqFields(p.toBLS12FqFields()); + + expect(p).toEqual(p2); + }); + + it('serializes to and from noble/curves projective point', () => { + const p = BLS12Point.random(); + const p2 = BLS12Point.fromNobleProjectivePoint(p.toNobleProjectivePoint()); + + expect(p).toEqual(p2); + }); + + it('serializes from and to JSON', async () => { + const p = BLS12Point.random(); + const p2 = await jsonParseWithSchema(jsonStringify(p), BLS12Point.schema); + expect(p).toEqual(p2); + expect(p2).toBeInstanceOf(BLS12Point); + }); + }); + + describe('Arithmetic', () => { + describe('Addition', () => { + it('Identity', () => { + const p = BLS12Point.random(); + const p2 = p.add(BLS12Point.ZERO); + + expect(p).toEqual(p2); + }); + + it('Inverse', () => { + const p = BLS12Point.random(); + const p2 = p.add(p.negate()); + + expect(BLS12Point.ZERO).toEqual(p2); + }); + }); + + describe('Subtraction', () => { + it('Identity', () => { + const p = BLS12Point.random(); + const p2 = p.sub(BLS12Point.ZERO); + + expect(p).toEqual(p2); + }); + + it('Inverse', () => { + const p = BLS12Point.random(); + const p2 = p.sub(p); + + expect(BLS12Point.ZERO).toEqual(p2); + }); + + it('Performs subtraction correctly', () => { + const p = BLS12Point.random(); + const q = BLS12Point.random(); + const p2 = p.sub(q); + const p3 = p.add(q.negate()); + + expect(p3).toEqual(p2); + }); + }); + + describe('Multiplication', () => { + it('Identity', () => { + const p = BLS12Point.random(); + const p2 = p.mul(BLS12Fr.ONE); + const p2Unsafe = p.mulUnsafe(BLS12Fr.ONE); + + expect(p).toEqual(p2); + expect(p2Unsafe).toEqual(p2); + }); + + it('Zero', () => { + const p = BLS12Point.random(); + const p2 = p.mul(BLS12Fr.ZERO); + const p2Unsafe = p.mulUnsafe(BLS12Fr.ZERO); + + expect(BLS12Point.ZERO).toEqual(p2); + expect(p2Unsafe).toEqual(p2); + }); + + it('Inverse', () => { + const a = BLS12Fr.random(); + const ag = BLS12Point.ONE.mul(a); + const minusag = BLS12Point.ONE.mul(a.negate()); + const minusagUnsafe = BLS12Point.ONE.mulUnsafe(a.negate()); + expect(ag.negate()).toEqual(minusag); + expect(minusagUnsafe).toEqual(minusag); + + const p2 = ag.add(minusag); + expect(BLS12Point.ZERO).toEqual(p2); + }); + + it('Performs multiplication correctly', () => { + const p = BLS12Point.random(); + const a = new BLS12Fr(3); + const p2 = p.mul(a); + const p2Unsafe = p.mulUnsafe(a); + const expected = p.add(p).add(p); + + expect(expected).toEqual(p2); + expect(p2Unsafe).toEqual(p2); + }); + + it('Low Boundary', () => { + // (p - 1) * G = - G + const p = BLS12Point.ONE.mul(BLS12Fr.MAX_FIELD_VALUE); + const pUnsafe = BLS12Point.ONE.mulUnsafe(BLS12Fr.MAX_FIELD_VALUE); + const p2 = BLS12Point.ZERO.sub(BLS12Point.ONE); + + expect(p).toEqual(p2); + expect(pUnsafe).toEqual(p2); + }); + + it('High Boundary', () => { + // b * ( - G ) = ( - b ) * G + const p = BLS12Point.ONE.mul(BLS12Fr.MAX_FIELD_VALUE); + const b = BLS12Fr.random(); + const p2 = p.mul(b); + const p2Unsafe = p.mulUnsafe(b); + const expected = BLS12Point.ONE.mul(b.negate()); + + expect(expected).toEqual(p2); + expect(p2Unsafe).toEqual(p2); + }); + }); + describe('Multiply and Add', () => { + it('Performs simple multiplication and addition correctly', () => { + const p = BLS12Point.random(); + const a = BLS12Fr.random(); + const q = BLS12Point.random(); + const b = BLS12Fr.random(); + const p2 = p.mulAndAddUnsafe(a, b, q); + const expected = p.mul(a).add(q.mul(b)); + + expect(expected).toEqual(p2); + }); + + it('Performs multiplication and addition correctly', () => { + // aP + -aQ = a(P - Q), for P, Q in group + const p = BLS12Point.ONE.mul(BLS12Fr.random()); + const a = BLS12Fr.random(); + const q = BLS12Point.ONE.mul(BLS12Fr.random()); + const p2 = p.mulAndAddUnsafe(a, a.negate(), q); + const expected = p.sub(q).mul(a); + + expect(expected).toEqual(p2); + }); + }); + }); +}); diff --git a/yarn-project/foundation/src/fields/bls12_point.ts b/yarn-project/foundation/src/fields/bls12_point.ts new file mode 100644 index 000000000000..03728f892a29 --- /dev/null +++ b/yarn-project/foundation/src/fields/bls12_point.ts @@ -0,0 +1,413 @@ +import type { ProjPointType } from '@noble/curves/abstract/weierstrass'; +/* eslint-disable camelcase */ +import { bls12_381 } from '@noble/curves/bls12-381'; + +import { toBufferBE } from '../bigint-buffer/index.js'; +import { randomBoolean } from '../crypto/random/index.js'; +import { hexSchemaFor } from '../schemas/utils.js'; +import { BufferReader, serializeToBuffer } from '../serialize/index.js'; +import { bufferToHex, hexToBuffer } from '../string/index.js'; +import { BLS12Fq, BLS12Fr } from './bls12_fields.js'; + +/** + * Represents a Point on an elliptic curve with x and y coordinates. + * The Point class provides methods for creating instances from different input types, + * converting instances to various output formats, and checking the equality of points. + * TODO(#7386): Clean up this class. + */ +export class BLS12Point { + static ZERO = new BLS12Point(BLS12Fq.ZERO, BLS12Fq.ZERO, true); + static ONE = new BLS12Point(new BLS12Fq(bls12_381.G1.CURVE.Gx), new BLS12Fq(bls12_381.G1.CURVE.Gy), false); + static SIZE_IN_BYTES = BLS12Fq.SIZE_IN_BYTES * 2; + static COMPRESSED_SIZE_IN_BYTES = BLS12Fq.SIZE_IN_BYTES; + static COMPRESSED_ZERO = setMask(Buffer.alloc(BLS12Fq.SIZE_IN_BYTES), { infinity: true, compressed: true }); + + constructor( + /** + * The point's x coordinate + */ + public readonly x: BLS12Fq, + /** + * The point's y coordinate + */ + public readonly y: BLS12Fq, + /** + * Whether the point is at infinity + */ + public readonly isInfinite: boolean, + ) { + if (!BLS12Point.isOnCurve(x, y)) { + throw new BLSPointNotOnCurveError(x, y); + } + if (isInfinite && !(x.equals(BLS12Fq.ZERO) && y.equals(BLS12Fq.ZERO))) { + throw new Error(`BLS12-381 G1 point ( ${x.toString()}, ${y.toString()} ) is not infinite.`); + } + } + + toJSON() { + return this.toString(); + } + + static get schema() { + return hexSchemaFor(BLS12Point); + } + + /** + * Generate a random Point instance. + * + * @returns A randomly generated Point instance. + */ + static random() { + while (true) { + try { + return BLS12Point.fromXAndSign(BLS12Fq.random(), randomBoolean()); + } catch (e: any) { + if (!(e instanceof BLSPointNotOnCurveError)) { + throw e; + } + // The random point is not on the curve - we try again + continue; + } + } + } + + /** + * Create a Point instance from a given buffer or BufferReader. + * The input 'buffer' should have exactly 96 bytes representing the x and y coordinates. + * + * @param buffer - The buffer or BufferReader containing the x and y coordinates of the point. + * @returns A Point instance. + */ + static fromBuffer(buffer: Buffer | BufferReader) { + const reader = BufferReader.asReader(buffer); + const [x, y] = [BLS12Fq.fromBuffer(reader), BLS12Fq.fromBuffer(reader)]; + return new this(x, y, x.isZero() && y.isZero()); + } + + /** + * Create a Point instance from a hex-encoded string. + * The input should be prefixed with '0x' or not, and have exactly 128 hex characters representing the x and y coordinates. + * Throws an error if the input length is invalid or coordinate values are out of range. + * + * @param str - The hex-encoded string representing the Point coordinates. + * @returns A Point instance. + */ + static fromString(str: string) { + return this.fromBuffer(hexToBuffer(str)); + } + + /** + * Create a compressed buffer instance from a point. + * @dev NOTE: The compression standard for BLS12-381 differs from BN curves. Instead of + * one is_positive flag, we have three flags to prepend: + * - is_compressed: indicator that the point is compressed + * - is_infinity: whether the point the point at infinity + * - is_greater: only set if is_compressed && !is_infinity && y > (p - 1)/2 + * See https://github.com/arkworks-rs/algebra/blob/master/curves/bls12_381/src/curves/g1.rs -> serialize_with_mode() -> encoding + * and noble-curves/src/bls12-381.ts -> setMask() + * @dev Most of the logic below is taken from noble-curves/src/bls12-381.ts -> toBytes() + * @param point A BLS12Point instance. + * @returns The buffer containing the x coordinate and the flags of the y coordinate. + */ + compress(): Buffer { + if (this.isZero()) { + return BLS12Point.COMPRESSED_ZERO; + } + const isGreater = this.y.isNegative(); + return setMask(toBufferBE(this.x.toBigInt(), BLS12Fq.SIZE_IN_BYTES), { compressed: true, sort: isGreater }); + } + + /** + * Create a Point instance from a compressed buffer. + * @dev See compress() above for compression encoding for BLS12-381. + * @dev Most of the logic below is taken from noble-curves/src/bls12-381.ts -> fromBytes() + * @param buffer - The buffer containing the x coordinate and the flags of the y coordinate. + * @returns A BLS12Point instance. + */ + static decompress(buffer: Buffer): BLS12Point { + const { compressed, infinity, sort, value: decompressed } = parseMask(buffer); + if (decompressed.length === BLS12Fq.SIZE_IN_BYTES && compressed) { + const x = new BLS12Fq(decompressed); + if (infinity) { + if (!x.isZero()) { + throw new Error('Non-empty compressed G1 point at infinity'); + } + return new BLS12Point(x, BLS12Fq.ZERO, true); + } + let y = this.YFromX(x); + if (!y) { + throw new BLSPointNotOnCurveError(x); + } + if (y.isNegative() !== sort) { + y = y.negate(); + } + return new BLS12Point(x, y, infinity); + } else { + throw new Error('Invalid compressed G1 point of BLS12-381'); + } + } + + /** + * Creates a point from an array of 2 fields. + * @returns The point + */ + static fromBLS12FqFields(fields: BLS12Fq[]) { + return new this(fields[0], fields[1], !fields[2].isEmpty()); + } + + /** + * Creates a point from @noble/curves projective point definition. + * @returns The point + */ + static fromNobleProjectivePoint(point: ProjPointType) { + const affine = point.toAffine(); + return new BLS12Point( + new BLS12Fq(affine.x), + new BLS12Fq(affine.y), + point.equals(bls12_381.G1.ProjectivePoint.ZERO), + ); + } + + /** + * Uses the x coordinate and isPositive flag (+/-) to reconstruct the point. + * @param x - The x coordinate of the point + * @param sign - The "sign" of the y coordinate - note that this is not a sign as is known in integer arithmetic. + * Instead it is a boolean flag that determines whether the y coordinate is <= (Fr.MODULUS - 1) / 2 + * @returns The point as an array of 2 fields + */ + static fromXAndSign(x: BLS12Fq, sign: boolean) { + const y = BLS12Point.YFromX(x); + if (y == null) { + throw new BLSPointNotOnCurveError(x); + } + + const yPositiveBigInt = y.isNegative() ? BLS12Fq.MODULUS - y.toBigInt() : y.toBigInt(); + const yNegativeBigInt = BLS12Fq.MODULUS - yPositiveBigInt; + + // Choose the positive or negative root based on isPositive + const finalY = sign ? new BLS12Fq(yPositiveBigInt) : new BLS12Fq(yNegativeBigInt); + + // Create and return the new Point + return new this(x, finalY, false); + } + + /** + * @param x - The x coordinate of the point + * @returns y^2 such that y^2 = x^3 + 4 + */ + static YSquaredFromX(x: BLS12Fq): BLS12Fq { + return new BLS12Fq(bls12_381.G1.weierstrassEquation(x.toBigInt())); + } + + /** + * @param x - The x coordinate of the point + * @returns The y coordinate of the point, if it exists on BLS12-381 + */ + static YFromX(x: BLS12Fq): BLS12Fq | null { + const ySquared = this.YSquaredFromX(x); + // y is then simply the square root. Note however that not all square roots exist in the field: if sqrt returns null + // then there is no point in the curve with this x coordinate. + return ySquared.sqrt(); + } + + /** + * @param x - The x coordinate of the point + * @param y - The y coordinate of the point + * @returns Whether the point exists on BLS12-381 + */ + static isOnCurve(x: BLS12Fq, y: BLS12Fq) { + if (x.isZero() && y.isZero()) { + // Representation of inf point + return true; + } + + // The BLS12-381 equation is y^2 = x^3 + 4. We could use `YFromX` and then compare to `this.y`, but this would + // involve computing the square root of y, of which there are two possible valid values. This method is also faster. + const lhs = y.square(); + const rhs = this.YSquaredFromX(x); + return lhs.equals(rhs); + } + + /** + * Returns the contents of the point as an array of 2 fields. + * @returns The point as an array of 2 fields + */ + toBLS12FqFields() { + return [this.x, this.y, new BLS12Fq(this.isInfinite ? 1 : 0)]; + } + + /** + * Returns the x coordinate and the sign of the y coordinate. + * @dev The y sign can be determined by checking if the y coordinate is greater than half of the modulus. + * @returns The x coordinate and the sign of the y coordinate. + */ + toXAndSign(): [BLS12Fq, boolean] { + return [this.x, !this.y.isNegative()]; + } + + /** + * Returns the contents of the point as BigInts. + * @returns The point as BigInts + */ + toBigInts() { + return { + x: this.x.toBigInt(), + y: this.y.toBigInt(), + isInfinite: this.isInfinite ? 1n : 0n, + }; + } + + /** + * Converts the Point instance to a Buffer representation of the coordinates. + * @returns A Buffer representation of the Point instance. + * @dev Note that toBuffer does not include the isInfinite flag and other serialization methods do (e.g. toBigInts). + */ + toBuffer() { + const buf = serializeToBuffer([this.x, this.y]); + if (buf.length !== BLS12Point.SIZE_IN_BYTES) { + throw new Error(`Invalid buffer length for Point: ${buf.length}`); + } + return buf; + } + + /** + * Convert the Point instance to a hexadecimal string representation. + * The output string is prefixed with '0x' and consists of exactly 128 hex characters, + * representing the concatenated x and y coordinates of the point. + * + * @returns A hex-encoded string representing the Point instance. + */ + toString() { + return bufferToHex(this.toBuffer()); + } + + /** + * Check if two Point instances are equal by comparing their buffer values. + * Returns true if the buffer values are the same, and false otherwise. + * + * @param rhs - The Point instance to compare with the current instance. + * @returns A boolean indicating whether the two Point instances are equal. + */ + equals(rhs: BLS12Point) { + return this.x.equals(rhs.x) && this.y.equals(rhs.y); + } + + /** + * Check whether the point is zero. + */ + isZero() { + return this.x.isZero() && this.y.isZero(); + } + + /** + * Check if this is point at infinity. + * Check this is consistent with how bb is encoding the point at infinity + */ + public get inf() { + return this.isInfinite; + } + + /** Arithmetic - wrapper around noble curves */ + + toNobleProjectivePoint() { + return bls12_381.G1.ProjectivePoint.fromAffine(this.toBigInts()); + } + + add(rhs: BLS12Point) { + return BLS12Point.fromNobleProjectivePoint(this.toNobleProjectivePoint().add(rhs.toNobleProjectivePoint())); + } + + negate() { + return new BLS12Point(this.x, this.y.negate(), this.isInfinite); + } + + sub(rhs: BLS12Point) { + return BLS12Point.fromNobleProjectivePoint(this.toNobleProjectivePoint().subtract(rhs.toNobleProjectivePoint())); + } + + /** + * @dev From noble curves package: + * Constant time multiplication. Uses wNAF method. Windowed method may be 10% faster, + * but takes 2x longer to generate and consumes 2x memory. + * Uses precomputes when available, uses endomorphism for Koblitz curves. + * @param scalar by which the point would be multiplied + * @returns New point + */ + mul(rhs: BLS12Fr) { + // Note: noble curves throws on 0 + if (rhs.isZero()) { + return BLS12Point.ZERO; + } + return BLS12Point.fromNobleProjectivePoint(this.toNobleProjectivePoint().multiply(rhs.toBigInt())); + } + + /** + * @dev From noble curves package: + * Non-constant-time multiplication. Uses double-and-add algorithm. + * It's faster, but should only be used when you don't care about an exposed private key e.g. sig verification, which works over *public* keys. + * @param scalar by which the point would be multiplied + * @returns New point + */ + mulUnsafe(rhs: BLS12Fr) { + return BLS12Point.fromNobleProjectivePoint(this.toNobleProjectivePoint().multiplyUnsafe(rhs.toBigInt())); + } + + /** + * @dev From noble curves package: + * Efficiently calculate `aP + bQ`. Unsafe, can expose private key, if used incorrectly. + * Not using Strauss-Shamir trick: precomputation tables are faster. The trick could be useful if both P and Q are not G (not in our case). + * @returns affine point + */ + mulAndAddUnsafe(a: BLS12Fr, b: BLS12Fr, Q: BLS12Point) { + const res = this.toNobleProjectivePoint().multiplyAndAddUnsafe( + Q.toNobleProjectivePoint(), + a.toBigInt(), + b.toBigInt(), + ); + return res ? BLS12Point.fromNobleProjectivePoint(res) : BLS12Point.ZERO; + } +} + +export class BLSPointNotOnCurveError extends Error { + constructor(x: BLS12Fq, y?: BLS12Fq) { + super('The given G1 point is not on the BLS12-381 curve: (' + x.toString() + ', ' + (y ? y.toString() : '') + ')'); + this.name = 'NotOnCurveError'; + } +} + +/** + * Lifted from noble curves bls12_381 since it's not exposed. Sets the flags + * for BLS12-381 point compression. + * @dev 'sort' refers to 'is_greater' i.e. y > (p - 1)/2 + */ +function setMask(bytes: Buffer, mask: { compressed?: boolean; infinity?: boolean; sort?: boolean }) { + if (bytes[0] & 0b1110_0000) { + throw new Error('setMask: non-empty mask'); + } + if (mask.compressed) { + bytes[0] |= 0b1000_0000; + } + if (mask.infinity) { + bytes[0] |= 0b0100_0000; + } + if (mask.sort) { + bytes[0] |= 0b0010_0000; + } + return bytes; +} + +/** + * Lifted from noble curves bls12_381 since it's not exposed. Reads the flags + * for BLS12-381 point compression. + * @dev 'sort' refers to 'is_greater' i.e. y > (p - 1)/2 + */ +function parseMask(bytes: Buffer) { + // Copy, so we can remove mask data without affecting input bytes. + const value = Buffer.from(bytes); + const mask = value[0] & 0b1110_0000; + const compressed = !!((mask >> 7) & 1); // compression bit (0b1000_0000) + const infinity = !!((mask >> 6) & 1); // point at infinity bit (0b0100_0000) + const sort = !!((mask >> 5) & 1); // sort bit (0b0010_0000) + value[0] &= 0b0001_1111; // clear mask (zero first 3 bits) + return { compressed, infinity, sort, value }; +} diff --git a/yarn-project/foundation/src/fields/index.ts b/yarn-project/foundation/src/fields/index.ts index aa4e441f34fb..c8d41ab65399 100644 --- a/yarn-project/foundation/src/fields/index.ts +++ b/yarn-project/foundation/src/fields/index.ts @@ -1,3 +1,5 @@ export * from './fields.js'; export * from './point.js'; export * from './coordinate.js'; +export * from './bls12_fields.js'; +export * from './bls12_point.js'; diff --git a/yarn-project/foundation/src/fields/point.ts b/yarn-project/foundation/src/fields/point.ts index d09522cad73c..e9a85d6ab24d 100644 --- a/yarn-project/foundation/src/fields/point.ts +++ b/yarn-project/foundation/src/fields/point.ts @@ -188,7 +188,7 @@ export class Point { */ toBuffer() { if (this.isInfinite) { - throw new Error('Cannot serialize infinite point without isInfinite flag'); + throw new Error('Cannot serialize infinite point with isInfinite flag'); } const buf = serializeToBuffer([this.x, this.y]); if (buf.length !== Point.SIZE_IN_BYTES) { diff --git a/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts b/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts index daa6cb98ad50..2e5d604494b3 100644 --- a/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts +++ b/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts @@ -165,6 +165,7 @@ export function mapBLS12BigNumFromNoir(bignum: BigNum): bigint { return BigInt(paddedLimbs[0].concat(paddedLimbs[1], paddedLimbs[2])); } +// TODO(MW): Use BLS12Field's .toNoirBigNum() export function mapBLS12BigNumToNoir(number: bigint): BigNum { const hex = toHex(number, true); return { diff --git a/yarn-project/yarn.lock b/yarn-project/yarn.lock index bbfad6ca33e3..4135eb0712bf 100644 --- a/yarn-project/yarn.lock +++ b/yarn-project/yarn.lock @@ -735,7 +735,7 @@ __metadata: "@types/node": "npm:^22.15.17" "@types/pako": "npm:^2.0.0" "@types/supertest": "npm:^2.0.12" - c-kzg: "npm:4.0.0-alpha.1" + bn.js: "npm:^5.2.1" colorette: "npm:^2.0.20" comlink: "npm:^4.4.1" detect-node: "npm:^2.1.0" From e9726bbf4fec144b890599dd39a695a71eba22de Mon Sep 17 00:00:00 2001 From: Miranda Wood Date: Wed, 4 Jun 2025 09:13:12 +0100 Subject: [PATCH 05/11] feat: WIP batch blobs and validate in rollup (#13817) WIP TODOs - [ ] Compress BLS12 fq and fr values to fewer native fields to reduce number of public inputs (somewhat blocked by #13608 since that dictates how large bls12fr value gamma is) - [ ] Delete old `blob.nr` files and remove `pub`s w/o batching (will do this later so it's easier to review) - [x] Rework `RootRollupPublicInputs` so it doesn't contain unnecessary values not needed for L1 verification --- ## PR Stack - [ ] `mw/blob-batching` <- main feature - [ ] ^ `mw/blob-batching-bls-utils` <- BLS12-381 bigcurve and bignum utils (noir) (#13583) - [ ] ^ `mw/blob-batching-bls-utils-ts` <- BLS12-381 bigcurve and bignum utils (ts) (#13606) - [x] ^ `mw/blob-batching-integration` <- Integrate batching into noir protocol circuits (#13817) - [ ] ^ `mw/blob-batching-integration-ts-sol` <- Integrate batching into ts and solidity (#14329) --------- Co-authored-by: Tom French <15848336+TomAFrench@users.noreply.github.com> --- .../crates/blob/src/blob_public_inputs.nr | 2 + .../crates/rollup-lib/Nargo.toml | 1 + ...block_root_or_block_merge_public_inputs.nr | 15 +- .../src/abis/block_root_rollup_data.nr | 22 +- .../block_merge/block_merge_rollup_inputs.nr | 37 +++- .../block_root/block_root_rollup_inputs.nr | 189 ++++++++++++++++-- .../block_root_rollup_output_composer.nr | 91 ++++++--- .../empty_block_root_rollup_inputs.nr | 58 +++--- .../single_tx_block_root_rollup_inputs.nr | 2 +- .../crates/rollup-lib/src/components.nr | 37 ++-- .../crates/rollup-lib/src/root/mod.nr | 30 ++- .../rollup-lib/src/root/root_rollup_inputs.nr | 15 +- .../src/root/root_rollup_public_inputs.nr | 5 +- .../src/tests/previous_rollup_block_data.nr | 28 ++- .../src/tests/rollup_fixture_builder.nr | 24 ++- .../crates/types/src/constants.nr | 9 +- 16 files changed, 424 insertions(+), 141 deletions(-) diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr index 1222d8c19bab..fcb8f062c11f 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_public_inputs.nr @@ -6,6 +6,8 @@ use types::{ utils::reader::Reader, }; +// TODO(MW): delete + // NB: This only exists because a nested array of [[Field; 2]; N] did not build with ci2.5, but was fine otherwise // For blobs, we use the compressed 48 byte BLS12 commitment to compute the challenge. We never need to operate on it, // so it's encoded as 2 fields. The first is the first 31 bytes, and the second is the next 17 bytes. diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/Nargo.toml b/noir-projects/noir-protocol-circuits/crates/rollup-lib/Nargo.toml index 12e1bcfbd51e..d07ba1cefe98 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/Nargo.toml +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/Nargo.toml @@ -5,6 +5,7 @@ authors = [""] compiler_version = ">=0.18.0" [dependencies] +bigint = { tag = "v0.7.3", git = "https://github.com/noir-lang/noir-bignum" } types = { path = "../types" } parity_lib = { path = "../parity-lib" } blob = { path = "../blob" } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_or_block_merge_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_or_block_merge_public_inputs.nr index 28ef80788036..0a63d32e7b02 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_or_block_merge_public_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_or_block_merge_public_inputs.nr @@ -8,7 +8,7 @@ use dep::types::{ traits::{Deserialize, Empty, Serialize, ToField}, utils::reader::Reader, }; -use blob::blob_public_inputs::BlockBlobPublicInputs; +use blob::blob_batching_public_inputs::BlockBlobPublicInputs; pub struct FeeRecipient { pub recipient: EthAddress, @@ -53,7 +53,7 @@ pub struct BlockRootOrBlockMergePublicInputs { pub vk_tree_root: Field, // Root of allowed vk tree pub protocol_contract_tree_root: Field, // Root of protocol contract tree pub prover_id: Field, // TODO(#7346): Temporarily added prover_id while we verify block-root proofs on L1 - pub blob_public_inputs: [BlockBlobPublicInputs; AZTEC_MAX_EPOCH_DURATION], // z, y, and C s.t. p(z) = y and C commits to p, for blob verification + pub blob_public_inputs: BlockBlobPublicInputs, // Blob accumulators at the start and end of this block range } impl BlockRootOrBlockMergePublicInputs { @@ -75,7 +75,7 @@ impl Empty for BlockRootOrBlockMergePublicInputs { vk_tree_root: 0, protocol_contract_tree_root: 0, prover_id: 0, - blob_public_inputs: [BlockBlobPublicInputs::empty(); AZTEC_MAX_EPOCH_DURATION], + blob_public_inputs: BlockBlobPublicInputs::empty(), } } } @@ -113,9 +113,7 @@ impl Serialize for BlockRootOrBl fields.push(self.vk_tree_root); fields.push(self.protocol_contract_tree_root); fields.push(self.prover_id as Field); - for i in 0..AZTEC_MAX_EPOCH_DURATION { - fields.extend_from_array(self.blob_public_inputs[i].serialize()); - } + fields.extend_from_array(self.blob_public_inputs.serialize()); assert_eq(fields.len(), BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH); fields.storage() @@ -141,10 +139,7 @@ impl Deserialize for BlockRootOr vk_tree_root: reader.read(), protocol_contract_tree_root: reader.read(), prover_id: reader.read(), - blob_public_inputs: reader.read_struct_array( - BlockBlobPublicInputs::deserialize, - [BlockBlobPublicInputs::empty(); AZTEC_MAX_EPOCH_DURATION], - ), + blob_public_inputs: reader.read_struct(BlockBlobPublicInputs::deserialize), }; reader.finish(); diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr index c67cdc19c60d..594c40c65081 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr @@ -1,4 +1,6 @@ -use blob::blob_public_inputs::BlobCommitment; +use blob::blob_batching_public_inputs::{ + BlobAccumulatorPublicInputs, BLSPoint, FinalBlobBatchingChallenges, +}; use parity_lib::root::root_rollup_parity_input::RootRollupParityInput; use types::{ block_header::BlockHeader, @@ -23,17 +25,29 @@ pub struct BlockRootRollupData { // Its hash is checked against the previous archive. pub previous_block_header: BlockHeader, + // <-- NOTE: start_blob_accumulator and final_blob_challenges exist here and not BlockRootRollupBlobData + // so we can inject easily into EmptyBlockRootRollupInputs: + + // The current blob accumulation state across the epoch. + // Injected here and checked vs the previous end state in each block merge and root rollup circuit: + pub start_blob_accumulator: BlobAccumulatorPublicInputs, + // Finalized challenges z and gamma for performing blob batching. Shared value across the epoch + // Precompjuted, injected here, and confirmed in the root rollup circuit: + pub final_blob_challenges: FinalBlobBatchingChallenges, + + // --> + // TODO(#7346): Temporarily added prover_id while we verify block-root proofs on L1 pub prover_id: Field, } pub struct BlockRootRollupBlobData { // Fields for blob verification made of all tx effects in this block - // (will likely change to be accumulated and sent up to the final root) pub blobs_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], - // see blob/src/blob.nr -> evaluate_blob() - these are used for creating the challenge z - pub blob_commitments: [BlobCommitment; BLOBS_PER_BLOCK], + // see blob/src/blob.nr -> evaluate_blob() - these are used for creating each blob's challenge z_i + pub blob_commitments: [BLSPoint; BLOBS_PER_BLOCK], // Flat sha256 hash of the EVM blob hashes, can be injected here as the contract checks its validity vs the blob_public_inputs // NB: to fit it into a field, we truncate to 31 bytes + // TODO(MW): Replace with v? pub blobs_hash: Field, } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr index a9e1489bc68d..c2dc585999a1 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr @@ -8,6 +8,7 @@ use dep::types::{ }, traits::Empty, }; +use blob::blob_batching_public_inputs::BlockBlobPublicInputs; global ALLOWED_PREVIOUS_CIRCUITS: [u32; 4] = [ BLOCK_ROOT_ROLLUP_INDEX, @@ -54,11 +55,11 @@ impl BlockMergeRollupInputs { let fees = components::accumulate_blocks_fees(left, right); - // TODO: We need to eventually accumulate blob info to a single BlobPublicInputs instance which will verify multiple blobs in one call - // For now, we do them individually - // How we accumulate is being worked on by @Mike - // let blob_public_inputs = left.blob_public_inputs.accumulate(right.blob_public_inputs); - let blob_public_inputs = components::accumulate_blob_public_inputs(left, right); + let blob_public_inputs = BlockBlobPublicInputs { + start_blob_accumulator: left.blob_public_inputs.start_blob_accumulator, + end_blob_accumulator: right.blob_public_inputs.end_blob_accumulator, + final_blob_challenges: left.blob_public_inputs.final_blob_challenges, + }; // TODO(MW): Batching here will consist of checks: // - left.end_blob_accumulator == right.start_blob_accumulator @@ -107,6 +108,14 @@ mod tests { let _output = inputs.block_merge_rollup_circuit(); } + #[test(should_fail_with = "input blocks have different epoch blob challenges")] + fn blob_different_challenges_fails() { + let mut inputs = default_block_merge_rollup_inputs(); + inputs.previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges.z += + 1; + let _output = inputs.block_merge_rollup_circuit(); + } + #[test(should_fail_with = "input blocks have different archive tree snapshots")] fn previous_rollups_dont_follow_archive() { let mut inputs = default_block_merge_rollup_inputs(); @@ -126,6 +135,14 @@ mod tests { let _output = inputs.block_merge_rollup_circuit(); } + #[test(should_fail_with = "input block blob accumulators do not follow on from each other")] + fn previous_rollups_dont_follow_blob_accumulator() { + let mut inputs = default_block_merge_rollup_inputs(); + inputs.previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.z_acc += + 1; + let _output = inputs.block_merge_rollup_circuit(); + } + #[test] fn block_fees_are_accumulated() { let mut inputs = default_block_merge_rollup_inputs(); @@ -156,16 +173,18 @@ mod tests { let outputs = inputs.block_merge_rollup_circuit(); assert_eq( - outputs.blob_public_inputs[0], + outputs.blob_public_inputs.start_blob_accumulator, inputs.previous_rollup_data[0] .block_root_or_block_merge_public_inputs - .blob_public_inputs[0], + .blob_public_inputs + .start_blob_accumulator, ); assert_eq( - outputs.blob_public_inputs[1], + outputs.blob_public_inputs.end_blob_accumulator, inputs.previous_rollup_data[1] .block_root_or_block_merge_public_inputs - .blob_public_inputs[0], + .blob_public_inputs + .end_blob_accumulator, ); } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr index 04459094cf1b..c02a1900f3e9 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr @@ -49,9 +49,13 @@ pub(crate) mod tests { block_root::block_root_rollup_inputs::BlockRootRollupInputs, tests::rollup_fixture_builder::RollupFixtureBuilder, }; - use poseidon::poseidon2::Poseidon2; + use bigint::{BigNum, BLS12_381_Fr as F}; + use blob::blob_batching_public_inputs::BatchingBlobCommitment; use types::{ - hash::accumulate_sha256, tests::utils::assert_array_eq, utils::arrays::array_concat, + constants::{BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, + hash::{accumulate_sha256, poseidon2_hash}, + tests::utils::assert_array_eq, + utils::arrays::array_concat, }; pub struct TestBuilder { @@ -61,7 +65,7 @@ pub(crate) mod tests { impl TestBuilder { pub fn new() -> Self { let inputs = RollupFixtureBuilder::new_for_block_root(); - inputs.mock_evaluate_blobs(); + inputs.mock_evaluate_blobs_and_batch(); TestBuilder { inputs } } @@ -133,18 +137,35 @@ pub(crate) mod tests { 0x0000000000000000000000000000000000000000000000000000000004000001, 0x0000000000000000000000000000000000000000000000000000000000000045, ]; - let expected_blob_commitment = [ + + let expected_blob_commitment_fields_fixture = [ 0x008c32fe581c8fdba12c0d7597911dead2d937d68525bae655508412bb53bb98, 0x0000000000000000000000000000006aaa0680f21270e7d8de4e19da5164f95c, ]; - let expected_blobs_hash = - 0x00a965619c8668b834755678b32d023b9c5e8588ce449f44f7fa9335455b5cc5; - let expected_challenge_z = + let expected_challenge_z_fixture = 0x1f92b871671f27a378d23f1cef10fbd8f0d90dd7172da9e3c3fc1aa745a072c3; + // Blob commitment with value: + // x: 0x0c32fe581c8fdba12c0d7597911dead2d937d68525bae655508412bb53bb986aaa0680f21270e7d8de4e19da5164f95c, + // y: 0x07896936b96e9af0ecd6ef882c14dcc6e8d075ea61d11ae9df4bfab87396547b5e01b8a35d9a720733acdd92421f24e9, + let mut injected_blob_commitment = BatchingBlobCommitment::from_limbs( + [ + 0x0680f21270e7d8de4e19da5164f95c, + 0xd68525bae655508412bb53bb986aaa, + 0x581c8fdba12c0d7597911dead2d937, + 0x0c32fe, + ], + [ + 0x01b8a35d9a720733acdd92421f24e9, + 0x75ea61d11ae9df4bfab87396547b5e, + 0x36b96e9af0ecd6ef882c14dcc6e8d0, + 0x078969, + ], + ); + let injected_blob_commitment_fields = injected_blob_commitment.to_compressed_fields(); + let mut builder = TestBuilder::new_with_blobs_fields(blob_fields_0, blob_fields_1); - builder.inputs.blob_commitments[0].inner = expected_blob_commitment; - builder.inputs.blobs_hash = expected_blobs_hash; + builder.inputs.blob_commitments[0] = injected_blob_commitment.point; let output = builder.execute(); @@ -161,16 +182,152 @@ pub(crate) mod tests { assert(end_sponge_blob.eq(expected_sponge)); let hashed_tx_effects = expected_sponge.squeeze(); - let computed_challenge_z = Poseidon2::hash( - [hashed_tx_effects, expected_blob_commitment[0], expected_blob_commitment[1]], - 3, + let expected_challenge_z = poseidon2_hash([ + hashed_tx_effects, + injected_blob_commitment_fields[0], + injected_blob_commitment_fields[1], + ]); + let expected_gamma_acc = poseidon2_hash(output + .blob_public_inputs + .end_blob_accumulator + .y_acc + .get_limbs() + .map(|l| l as Field)); + + // We have a single blob, so the accumulated outputs are just those after a single evaluation: + assert_eq(output.blob_public_inputs.end_blob_accumulator.z_acc, expected_challenge_z); + assert_eq( + output.blob_public_inputs.end_blob_accumulator.z_acc, + expected_challenge_z_fixture, ); - assert_eq(computed_challenge_z, expected_challenge_z); - assert_eq(output.blob_public_inputs[0].inner[0].z, expected_challenge_z); assert_eq( - output.blob_public_inputs[0].inner[0].kzg_commitment.inner, - expected_blob_commitment, + output.blob_public_inputs.end_blob_accumulator.c_acc, + injected_blob_commitment.point, ); + assert_eq(injected_blob_commitment_fields, expected_blob_commitment_fields_fixture); + assert_eq(output.blob_public_inputs.end_blob_accumulator.gamma_acc, expected_gamma_acc); + } + + // All hardcoded values in this test are taken from yarn-project/foundation/src/blob/blob_batching.test.ts -> 'should construct and verify a batch of 3 full blobs' + // These values are also used in blob_batching.nr -> test_full_blobs_batched(), but the below ensures inputs are propagated properly throughout block_root + #[test] + unconstrained fn correct_blobs_with_non_empty_fields() { + // Fill three blobs completely with different values (to avoid a constant polynomial) + let mut blob: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK] = + [0; FIELDS_PER_BLOB * BLOBS_PER_BLOCK]; + for j in 0..BLOBS_PER_BLOCK { + for i in 0..FIELDS_PER_BLOB { + blob[j * FIELDS_PER_BLOB + i] = ((j + 3) * (i + 1)) as Field; + } + } + // Init. injected values: + // - Commitments are injected and checked for correctness on L1 via acc.v + let kzg_commitments_in = [ + BatchingBlobCommitment::from_limbs( + [ + 0x2627fc88755984d7f002e5ef0e6b3e, + 0x0ea98f6a26672e17f919eb020b00ee, + 0xea6e5173f2ef1bedbb07bfa9ac6ed8, + 0x01c6e6, + ], + [ + 0xaa96f04ba1d419683f218cc4f15a3f, + 0x8887c5e719583b765309e4b3d18752, + 0x9ff512de37b8582f7167fdfbb29539, + 0x18f531, + ], + ) + .point, + BatchingBlobCommitment::from_limbs( + [ + 0x71556bb7217816fbb3f822fc873740, + 0x9c57d93d7fd33a388e13e95cfdba95, + 0x4f0ddbdc9d6a3653cd825ebd9f5730, + 0x12324e, + ], + [ + 0xabf9f60fc773ef1802a706d6b170a4, + 0x788f9000166d54151ac05df44e63be, + 0x0a8b45ead129885bb12837fb59033b, + 0x12aadd, + ], + ) + .point, + BatchingBlobCommitment::from_limbs( + [ + 0x69afb94a09e713e7fb94e26f33c3ed, + 0x8161293f65480c3b7bad57aaef1984, + 0xc34d68dc32d1ecd46f46ec4c969bb1, + 0x0d97ef, + ], + [ + 0x9837a79d9fa4d0370198419b273360, + 0x9e7340f07732e2cb3d51db22b1dcb3, + 0x8285e8cad42f634bb51ad7d2c68a12, + 0x07db3c, + ], + ) + .point, + ]; + + let mut builder = TestBuilder::new_with_blobs_fields(blob, []); + + let start_sponge_blob = builder.inputs.previous_rollup_data[0] + .base_or_merge_rollup_public_inputs + .start_sponge_blob; + let mut expected_sponge = start_sponge_blob; + expected_sponge.absorb(blob, FIELDS_PER_BLOB * BLOBS_PER_BLOCK); + builder.inputs.blob_commitments = kzg_commitments_in; + // - The final z value is injected and checked for correctness in root (see below final_acc) + builder.inputs.final_blob_challenges.z = + 0x02d6a54e591ada73e5eea35188a02ac87779f4293ea3e7d675fa50ae7ff332ce; + // - The final gamma value is injected and checked for correctness in root (see below final_acc) + builder.inputs.final_blob_challenges.gamma = F::from_limbs([ + 0x281287a8d44071d216177e06a02327, + 0x16571aa3dcfef75c2447c705c6c68a, + 0x16f2, + ]); + + let output = builder.execute(); + let final_acc = output.blob_public_inputs.end_blob_accumulator; + + assert_eq(final_acc.z_acc, builder.inputs.final_blob_challenges.z); + + // y is a BLS Fr field with value 0x0cd2fd9a46ba70fd7f212d08ec7283024b0b1ff9446b1f78a482fb7443e49b57 + let expected_y_limbs = + [0x0b1ff9446b1f78a482fb7443e49b57, 0xfd9a46ba70fd7f212d08ec7283024b, 0x0cd2]; + + // C is a BLS point with value: + // x: 0x0f2f5f62cc6c3ab4c1ac1abcb9da9677e12796a76064f68c0d4f659f25a046a6d42616100269935afcb1b98c85d5e93e, + // y: 0x0af1e4abfa449daf65201c2b24507b1058d8ea9bf82ff948a1d01912615c4a8e507160da282e6c41bab917c868923254, + let expected_c = BatchingBlobCommitment::from_limbs( + [ + 0x2616100269935afcb1b98c85d5e93e, + 0x96a76064f68c0d4f659f25a046a6d4, + 0x62cc6c3ab4c1ac1abcb9da9677e127, + 0x0f2f5f, + ], + [ + 0x7160da282e6c41bab917c868923254, + 0xea9bf82ff948a1d01912615c4a8e50, + 0xabfa449daf65201c2b24507b1058d8, + 0x0af1e4, + ], + ) + .point; + + assert(builder.inputs.previous_rollup_data[1] + .base_or_merge_rollup_public_inputs + .end_sponge_blob + .eq(expected_sponge)); + + // blob_commitments_hash is a BN Fr field with value 0x00d2f7bffbc5a9008207a188e348e753087f54557a686efd7f74c90cac52a9a1 + let expected_blob_commitments_hash = + 0xd2f7bffbc5a9008207a188e348e753087f54557a686efd7f74c90cac52a9a1; + + assert_eq(final_acc.y_acc.get_limbs(), expected_y_limbs); + assert_eq(final_acc.c_acc, expected_c); + assert_eq(final_acc.blob_commitments_hash_acc, expected_blob_commitments_hash); } #[test(should_fail_with = "block's first blob sponge was not empty")] diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr index 31933c45eb1e..41e861b13990 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr @@ -6,7 +6,12 @@ use crate::{ }, merge::utils::merge_rollups::merge_rollups, }; -use blob::{blob::evaluate_blobs, blob_public_inputs::{BlobPublicInputs, BlockBlobPublicInputs}}; +use blob::{ + blob_batching::evaluate_blobs_and_batch, + blob_batching_public_inputs::{ + BlobAccumulationInputs, BlobAccumulatorPublicInputs, BlockBlobPublicInputs, + }, +}; use types::{ abis::{ append_only_tree_snapshot::AppendOnlyTreeSnapshot, constant_rollup_data::ConstantRollupData, @@ -18,7 +23,7 @@ use types::{ partial_state_reference::PartialStateReference, proposed_block_header::ProposedBlockHeader, state_reference::StateReference, - traits::{Empty, Hash}, + traits::{Empty, Hash, is_empty}, }; pub struct BlockRootRollupOutputComposer { @@ -59,14 +64,15 @@ impl BlockRootRollupOutputComposer { let new_archive = self.update_archive(constants.last_archive, new_block_hash); let proposed_block_header_hash = self.create_proposed_block_header(new_block_header).hash(); - let block_blob_public_inputs = self.get_block_blob_public_inputs(blob_data); + let end_blob_accumulator = self.get_blob_accumulator_public_inputs(blob_data); self.finish_with_new_values( constants, new_archive, proposed_block_header_hash, self.merged_rollup.out_hash, - block_blob_public_inputs, + self.data.start_blob_accumulator, + end_blob_accumulator, self.merged_rollup.accumulated_fees, ) } @@ -75,7 +81,7 @@ impl BlockRootRollupOutputComposer { self, constants: ConstantRollupData, empty_effect_blobs_hash: Field, - empty_effect_blob_public_input: BlobPublicInputs, + empty_effect_blob_accumulation_input: BlobAccumulationInputs, is_padding: bool, ) -> BlockRootOrBlockMergePublicInputs { let (new_archive, proposed_block_header_hash) = if is_padding { @@ -93,9 +99,20 @@ impl BlockRootRollupOutputComposer { ) }; - let mut block_blob_public_inputs = BlockBlobPublicInputs::empty(); - if !is_padding { - block_blob_public_inputs.inner[0] = empty_effect_blob_public_input; + let end_blob_accumulator = if is_padding { + self.data.start_blob_accumulator + } else { + if is_empty(self.data.start_blob_accumulator) { + BlobAccumulatorPublicInputs::init( + empty_effect_blob_accumulation_input, + self.data.final_blob_challenges.gamma, + ) + } else { + self.data.start_blob_accumulator.accumulate( + empty_effect_blob_accumulation_input, + self.data.final_blob_challenges.gamma, + ) + } }; self.finish_with_new_values( @@ -103,7 +120,8 @@ impl BlockRootRollupOutputComposer { new_archive, proposed_block_header_hash, 0 /* out_hash */, - block_blob_public_inputs, + self.data.start_blob_accumulator, + end_blob_accumulator, 0, /* accumulated_fees */ ) } @@ -114,7 +132,8 @@ impl BlockRootRollupOutputComposer { new_archive: AppendOnlyTreeSnapshot, proposed_block_header_hash: Field, out_hash: Field, - block_blob_public_inputs: BlockBlobPublicInputs, + start_blob_accumulator: BlobAccumulatorPublicInputs, + end_blob_accumulator: BlobAccumulatorPublicInputs, accumulated_fees: Field, ) -> BlockRootOrBlockMergePublicInputs { let mut proposed_block_header_hashes = [0; AZTEC_MAX_EPOCH_DURATION]; @@ -126,8 +145,11 @@ impl BlockRootRollupOutputComposer { value: accumulated_fees, }; - let mut blob_public_inputs = [BlockBlobPublicInputs::empty(); AZTEC_MAX_EPOCH_DURATION]; - blob_public_inputs[0] = block_blob_public_inputs; + let blob_public_inputs = BlockBlobPublicInputs { + start_blob_accumulator, + end_blob_accumulator, + final_blob_challenges: self.data.final_blob_challenges, + }; BlockRootOrBlockMergePublicInputs { previous_archive: constants.last_archive, // archive before this block was added @@ -209,22 +231,33 @@ impl BlockRootRollupOutputComposer { ) } - fn get_block_blob_public_inputs(self, data: BlockRootRollupBlobData) -> BlockBlobPublicInputs { - if !dep::std::runtime::is_unconstrained() { - evaluate_blobs( - data.blobs_fields, - data.blob_commitments, - self.merged_rollup.end_sponge_blob, - ) - } else { - // Safety: TODO(#10323): this was added to save simulation time, if/when simulation times of unconstrained are improved, remove this. - unsafe { - blob::mock_blob_oracle::evaluate_blobs( - data.blobs_fields, - data.blob_commitments, - self.merged_rollup.end_sponge_blob, - ) - } - } + fn get_blob_accumulator_public_inputs( + self, + data: BlockRootRollupBlobData, + ) -> BlobAccumulatorPublicInputs { + evaluate_blobs_and_batch( + data.blobs_fields, + data.blob_commitments, + self.merged_rollup.end_sponge_blob, + self.data.final_blob_challenges, + self.data.start_blob_accumulator, + ) + // TODO(MW): Remove below once simulation of above is tested + // if !dep::std::runtime::is_unconstrained() { + // evaluate_blobs( + // data.blobs_fields, + // data.blob_commitments, + // self.merged_rollup.end_sponge_blob, + // ) + // } else { + // // Safety: TODO(#10323): this was added to save simulation time, if/when simulation times of unconstrained are improved, remove this. + // unsafe { + // blob::mock_blob_oracle::evaluate_blobs( + // data.blobs_fields, + // data.blob_commitments, + // self.merged_rollup.end_sponge_blob, + // ) + // } + // } } } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/empty_block_root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/empty_block_root_rollup_inputs.nr index 9d326c9a9dd7..ad674158650f 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/empty_block_root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/empty_block_root_rollup_inputs.nr @@ -8,13 +8,13 @@ use crate::{ block_root_rollup_output_composer::BlockRootRollupOutputComposer, }, }; -use blob::blob_public_inputs::BlobPublicInputs; +use blob::blob_batching_public_inputs::{BatchingBlobCommitment, BlobAccumulationInputs}; use types::{abis::constant_rollup_data::ConstantRollupData, traits::Empty}; pub global EMPTY_EFFECT_BLOBS_HASH: Field = 0x001cedbd7ea5309ef9d1d159209835409bf41b6b1802597a52fa70cc82e934d9; -pub global EMPTY_EFFECT_BLOB_COMMITMENT: [Field; 2] = - [0x00c0000000000000000000000000000000000000000000000000000000000000, 0]; +pub global EMPTY_EFFECT_BLOB_COMMITMENT: BatchingBlobCommitment = + BatchingBlobCommitment::empty_blob(); pub global EMPTY_EFFECT_BLOB_CHALLENGE_Z: Field = 0x0ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb; @@ -35,15 +35,15 @@ impl EmptyBlockRootRollupInputs { ); validator.validate_without_previous_rollups(self.is_padding, self.constants.last_archive); - let mut blob_public_input = BlobPublicInputs::empty(); - blob_public_input.kzg_commitment.inner = EMPTY_EFFECT_BLOB_COMMITMENT; - blob_public_input.z = EMPTY_EFFECT_BLOB_CHALLENGE_Z; + let mut blob_accumulation_input = BlobAccumulationInputs::empty(); + blob_accumulation_input.z_i = EMPTY_EFFECT_BLOB_CHALLENGE_Z; + blob_accumulation_input.c_i = EMPTY_EFFECT_BLOB_COMMITMENT; let composer = BlockRootRollupOutputComposer::new_from_empty_rollup(self.data); composer.finish_empty( self.constants, EMPTY_EFFECT_BLOBS_HASH, - blob_public_input, + blob_accumulation_input, self.is_padding, ) } @@ -60,8 +60,11 @@ mod tests { }, tests::rollup_fixture_builder::RollupFixtureBuilder, }; - use poseidon::poseidon2::Poseidon2; - use types::{abis::sponge_blob::SpongeBlob, address::EthAddress, tests::utils::assert_array_eq}; + use bigint::BigNum; + use types::{ + abis::sponge_blob::SpongeBlob, address::EthAddress, hash::poseidon2_hash, + tests::utils::assert_array_eq, + }; pub struct TestBuilder { pub inputs: RollupFixtureBuilder, @@ -101,32 +104,36 @@ mod tests { // The below values are generated from block_building_helper.test.ts. let expected_empty_effect_blobs_hash = 0x001cedbd7ea5309ef9d1d159209835409bf41b6b1802597a52fa70cc82e934d9; - let expected_empty_effect_blob_commitment = + let expected_empty_effect_blob_commitment_fields = [0x00c0000000000000000000000000000000000000000000000000000000000000, 0]; let expected_empty_effect_challenge_z = 0x0ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb; assert_eq(expected_empty_effect_blobs_hash, EMPTY_EFFECT_BLOBS_HASH); - assert_eq(expected_empty_effect_blob_commitment, EMPTY_EFFECT_BLOB_COMMITMENT); + assert_eq( + expected_empty_effect_blob_commitment_fields, + EMPTY_EFFECT_BLOB_COMMITMENT.to_compressed_fields(), + ); assert_eq(expected_empty_effect_challenge_z, EMPTY_EFFECT_BLOB_CHALLENGE_Z); let mut expected_sponge = SpongeBlob::new(0); let hashed_tx_effects = expected_sponge.squeeze(); - let computed_z = Poseidon2::hash( - [ - hashed_tx_effects, - expected_empty_effect_blob_commitment[0], - expected_empty_effect_blob_commitment[1], - ], - 3, - ); + let computed_z = poseidon2_hash([ + hashed_tx_effects, + expected_empty_effect_blob_commitment_fields[0], + expected_empty_effect_blob_commitment_fields[1], + ]); - assert_eq(computed_z, expected_empty_effect_challenge_z); - assert_eq(output.blob_public_inputs[0].inner[0].z, expected_empty_effect_challenge_z); + assert_eq(computed_z, EMPTY_EFFECT_BLOB_CHALLENGE_Z); assert_eq( - output.blob_public_inputs[0].inner[0].kzg_commitment.inner, - expected_empty_effect_blob_commitment, + output.blob_public_inputs.end_blob_accumulator.z_acc, + EMPTY_EFFECT_BLOB_CHALLENGE_Z, ); + assert_eq( + output.blob_public_inputs.end_blob_accumulator.c_acc, + EMPTY_EFFECT_BLOB_COMMITMENT.point, + ); + assert_eq(output.blob_public_inputs.end_blob_accumulator.y_acc.get_limbs(), [0, 0, 0]); } #[test] @@ -140,8 +147,11 @@ mod tests { assert_eq(output.previous_archive, output.new_archive); assert_eq(output.start_global_variables, output.end_global_variables); assert_eq(output.out_hash, 0); + assert_eq( + output.blob_public_inputs.start_blob_accumulator, + output.blob_public_inputs.end_blob_accumulator, + ); assert_array_eq(output.fees, []); - assert_array_eq(output.blob_public_inputs, []); } #[test(should_fail_with = "hash of the previous block header is not the last leaf in the archive tree")] diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/single_tx_block_root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/single_tx_block_root_rollup_inputs.nr index 078161ca9118..96553610e777 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/single_tx_block_root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/single_tx_block_root_rollup_inputs.nr @@ -71,7 +71,7 @@ mod tests { #[test] unconstrained fn single_tx_block_root_rollup_output_propagated_from_base() { let builder = TestBuilder::new(); - builder.inputs.mock_evaluate_blobs(); + builder.inputs.mock_evaluate_blobs_and_batch(); let output = builder.execute(); diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/components.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/components.nr index 3ba26691c429..0af30f3dabd9 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/components.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/components.nr @@ -19,10 +19,9 @@ use dep::types::{ }, hash::compute_contract_class_log_hash, merkle_tree::VariableMerkleTree, - traits::{Empty, ToField}, + traits::ToField, utils::arrays::{array_length, array_length_until, array_merge, array_padded_with}, }; -use blob::blob_public_inputs::BlockBlobPublicInputs; pub fn assert_prev_block_rollups_follow_on_from_each_other( left: BlockRootOrBlockMergePublicInputs, @@ -45,6 +44,18 @@ pub fn assert_prev_block_rollups_follow_on_from_each_other( left.end_global_variables.version == right.start_global_variables.version, "input blocks have different chain version", ); + assert( + left.blob_public_inputs.end_blob_accumulator.eq( + right.blob_public_inputs.start_blob_accumulator, + ), + "input block blob accumulators do not follow on from each other", + ); + assert( + left.blob_public_inputs.final_blob_challenges.eq( + right.blob_public_inputs.final_blob_challenges, + ), + "input blocks have different epoch blob challenges", + ); if right.is_padding() { assert( @@ -87,28 +98,6 @@ pub fn accumulate_blocks_fees( array_merge(left.fees, right.fees) } -// TODO: This fn will be obselete once we have integrated accumulation of blob PIs -// The goal is to acc. the commitments and openings s.t. one set verifies the opening of many blobs -// How we accumulate is being worked on by @Mike -pub fn accumulate_blob_public_inputs( - left: BlockRootOrBlockMergePublicInputs, - right: BlockRootOrBlockMergePublicInputs, -) -> [BlockBlobPublicInputs; AZTEC_MAX_EPOCH_DURATION] { - let left_len = array_length(left.blob_public_inputs); - // NB: The below is cheaper than array_merge because assigning BlockBlobPublicInputs is cheaper than calling .equals - let mut add_from_left = true; - let mut result = [BlockBlobPublicInputs::empty(); AZTEC_MAX_EPOCH_DURATION]; - for i in 0..result.len() { - add_from_left &= i != left_len; - if (add_from_left) { - result[i] = left.blob_public_inputs[i]; - } else { - result[i] = right.blob_public_inputs[i - left_len]; - } - } - result -} - pub fn compute_kernel_out_hash(l2_to_l1_msgs: [Field; MAX_L2_TO_L1_MSGS_PER_TX]) -> Field { let non_empty_items = array_length(l2_to_l1_msgs); let merkle_tree = VariableMerkleTree::new_sha(l2_to_l1_msgs, non_empty_items); diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/mod.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/mod.nr index 72d664b7c1b2..92a21000a8ba 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/mod.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/mod.nr @@ -43,9 +43,35 @@ mod tests { assert_eq(outputs.prover_id, left.prover_id); assert_eq(outputs.prover_id, right.prover_id); - assert_array_eq( + assert_eq( outputs.blob_public_inputs, - [left.blob_public_inputs[0], right.blob_public_inputs[0]], + right.blob_public_inputs.end_blob_accumulator.finalize_and_validate( + left.blob_public_inputs.final_blob_challenges, + ), ); } + + #[test(should_fail_with = "Epoch did not start with empty blob state.")] + unconstrained fn non_empty_start_blob_fails() { + let mut inputs = default_root_rollup_inputs(); + inputs.previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.start_blob_accumulator.z_acc += + 1; + let _output = inputs.root_rollup_circuit(); + } + + #[test(should_fail_with = "Final blob challenge z mismatch.")] + unconstrained fn blob_different_challenge_z_fails() { + let mut inputs = default_root_rollup_inputs(); + inputs.previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.z_acc += + 1; + let _output = inputs.root_rollup_circuit(); + } + + #[test(should_fail_with = "Final blob challenge gamma mismatch.")] + unconstrained fn blob_different_challenge_gamma_fails() { + let mut inputs = default_root_rollup_inputs(); + inputs.previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.gamma_acc += + 1; + let _output = inputs.root_rollup_circuit(); + } } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr index e0f034053008..f957ca3f37dd 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr @@ -7,7 +7,7 @@ use types::{ AZTEC_MAX_EPOCH_DURATION, BLOCK_MERGE_ROLLUP_INDEX, BLOCK_ROOT_ROLLUP_EMPTY_INDEX, BLOCK_ROOT_ROLLUP_INDEX, BLOCK_ROOT_ROLLUP_SINGLE_TX_INDEX, PROOF_TYPE_ROOT_ROLLUP_HONK, }, - traits::Empty, + traits::{Empty, is_empty}, }; global ALLOWED_PREVIOUS_CIRCUITS: [u32; 4] = [ @@ -66,11 +66,10 @@ impl RootRollupInputs { let fees = components::accumulate_blocks_fees(left, right); - // TODO: We need to eventually accumulate blob info to a single BlobPublicInputs instance which will verify multiple blobs in one call - // For now, we do them individually - // How we accumulate is being worked on by @Mike - // let blob_public_inputs = left.blob_public_inputs.accumulate(right.blob_public_inputs); - let blob_public_inputs = components::accumulate_blob_public_inputs(left, right); + assert( + is_empty(left.blob_public_inputs.start_blob_accumulator), + "Epoch did not start with empty blob state.", + ); // TODO(MW): Batching here will consist of checks: // - left.end_blob_accumulator == right.start_blob_accumulator @@ -94,7 +93,9 @@ impl RootRollupInputs { vk_tree_root: left.vk_tree_root, protocol_contract_tree_root: left.protocol_contract_tree_root, prover_id: self.prover_id, - blob_public_inputs, + blob_public_inputs: right.blob_public_inputs.end_blob_accumulator.finalize_and_validate( + left.blob_public_inputs.final_blob_challenges, + ), } } } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_public_inputs.nr index 22c487ea9aab..0d9338b4279d 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_public_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_public_inputs.nr @@ -1,7 +1,6 @@ use crate::abis::block_root_or_block_merge_public_inputs::FeeRecipient; use dep::types::constants::AZTEC_MAX_EPOCH_DURATION; -use blob::blob_public_inputs::BlockBlobPublicInputs; - +use blob::blob_batching_public_inputs::FinalBlobAccumulatorPublicInputs; pub struct RootRollupPublicInputs { // Snapshot of archive tree before/after this rollup has been processed pub previous_archive_root: Field, @@ -13,5 +12,5 @@ pub struct RootRollupPublicInputs { pub vk_tree_root: Field, pub protocol_contract_tree_root: Field, pub prover_id: Field, - pub blob_public_inputs: [BlockBlobPublicInputs; AZTEC_MAX_EPOCH_DURATION], + pub blob_public_inputs: FinalBlobAccumulatorPublicInputs, } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/previous_rollup_block_data.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/previous_rollup_block_data.nr index 948fcad16586..1545c476d938 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/previous_rollup_block_data.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/previous_rollup_block_data.nr @@ -3,6 +3,7 @@ use dep::types::{ abis::append_only_tree_snapshot::AppendOnlyTreeSnapshot, constants::BLOCK_ROOT_ROLLUP_INDEX, merkle_tree::merkle_tree::MerkleTree, proof::vk_data::VkData, tests::fixtures, traits::Empty, }; +use bigint::{BigNum, BLS12_381_Fr as F}; pub fn default_previous_rollup_block_data() -> [PreviousRollupBlockData; 2] { let mut previous_rollup_data = [PreviousRollupBlockData::empty(); 2]; @@ -53,10 +54,33 @@ pub fn default_previous_rollup_block_data() -> [PreviousRollupBlockData; 2] { previous_rollup_data[0].block_root_or_block_merge_public_inputs.fees[0].value = 10; previous_rollup_data[1].block_root_or_block_merge_public_inputs.fees[0].value = 15; - previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs[0].inner[0].z = + previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.z_acc = 1; - previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs[0].inner[0].z = + previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.blob_commitments_hash_acc = 2; + previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.gamma_acc = + 3; + previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.start_blob_accumulator = previous_rollup_data[0] + .block_root_or_block_merge_public_inputs + .blob_public_inputs + .end_blob_accumulator; + previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.z_acc = + 4; + previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.blob_commitments_hash_acc = + 5; + previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.gamma_acc = + 6; + + previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges.z = + 4; + // = poseidon2([6, 4]) = 0x25f106373d285972efcdfcbc99096a989156495514c4e1bc6cfac2b288ade5e7: + previous_rollup_data[0].block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges.gamma = F::from_limbs( + [448024886556591125833969477526349287, 32274159084860741962424622034622609, 9713], + ); + previous_rollup_data[1].block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges = previous_rollup_data[0] + .block_root_or_block_merge_public_inputs + .blob_public_inputs + .final_blob_challenges; previous_rollup_data } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/rollup_fixture_builder.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/rollup_fixture_builder.nr index 7c26a30f2ac1..6e949e3c478d 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/rollup_fixture_builder.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/tests/rollup_fixture_builder.nr @@ -3,7 +3,9 @@ use crate::abis::{ block_root_rollup_data::{BlockRootRollupBlobData, BlockRootRollupData}, previous_rollup_data::PreviousRollupData, }; -use blob::blob_public_inputs::{BlobCommitment, BlockBlobPublicInputs}; +use blob::blob_batching_public_inputs::{ + BatchingBlobCommitment, BlobAccumulatorPublicInputs, BLSPoint, FinalBlobBatchingChallenges, +}; use parity_lib::root::root_rollup_parity_input::RootRollupParityInput; use std::test::OracleMock; use types::{ @@ -22,7 +24,7 @@ use types::{ partial_state_reference::PartialStateReference, proof::vk_data::VkData, tests::{fixtures, merkle_tree_utils::{compute_zero_hashes, NonEmptyMerkleTree}}, - traits::{Empty, Hash}, + traits::{Empty, Hash, Serialize}, }; pub struct RollupFixtureBuilder { @@ -35,8 +37,10 @@ pub struct RollupFixtureBuilder { pub last_archive_sibling_path: [Field; ARCHIVE_HEIGHT], pub new_archive: AppendOnlyTreeSnapshot, pub new_archive_sibling_path: [Field; ARCHIVE_HEIGHT], + pub start_blob_accumulator: BlobAccumulatorPublicInputs, + pub final_blob_challenges: FinalBlobBatchingChallenges, pub blobs_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], - pub blob_commitments: [BlobCommitment; BLOBS_PER_BLOCK], + pub blob_commitments: [BLSPoint; BLOBS_PER_BLOCK], pub blobs_hash: Field, pub vk_tree: MerkleTree, pub vk_tree_root: Field, @@ -63,8 +67,10 @@ impl RollupFixtureBuilder { last_archive_sibling_path: [0; ARCHIVE_HEIGHT], new_archive: AppendOnlyTreeSnapshot::zero(), new_archive_sibling_path: [0; ARCHIVE_HEIGHT], + start_blob_accumulator: BlobAccumulatorPublicInputs::empty(), + final_blob_challenges: FinalBlobBatchingChallenges::empty(), blobs_fields: [0; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], - blob_commitments: [BlobCommitment::empty(); BLOBS_PER_BLOCK], + blob_commitments: [BatchingBlobCommitment::empty().point; BLOBS_PER_BLOCK], blobs_hash: 0, vk_tree, vk_tree_root, @@ -169,7 +175,8 @@ impl RollupFixtureBuilder { self.blobs_fields[N + i] = blob_fields_1[i]; } - self.blob_commitments[0] = BlobCommitment { inner: [31, 75] }; + self.blob_commitments[0] = + BatchingBlobCommitment::from_limbs([31, 0, 0, 0], [75, 0, 0, 0]).point; self.blobs_hash = 8901; @@ -266,6 +273,8 @@ impl RollupFixtureBuilder { previous_archive_sibling_path: self.last_archive_sibling_path, new_archive_sibling_path: self.new_archive_sibling_path, previous_block_header: self.previous_block_header, + start_blob_accumulator: self.start_blob_accumulator, + final_blob_challenges: self.final_blob_challenges, prover_id: self.prover_id, } } @@ -278,10 +287,11 @@ impl RollupFixtureBuilder { } } - pub fn mock_evaluate_blobs(_self: Self) { + pub fn mock_evaluate_blobs_and_batch(_self: Self) { // Safety: Mock the oracle call when the blob data is not relevant to the test. unsafe { - let _ = OracleMock::mock("evaluateBlobs").returns(BlockBlobPublicInputs::empty()); + let _ = OracleMock::mock("evaluateBlobs").returns(BlobAccumulatorPublicInputs::empty() + .serialize()); } } } diff --git a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr index 1283e19ce45e..343069a144e7 100644 --- a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr +++ b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr @@ -234,6 +234,10 @@ pub global BLS12_POINT_COMPRESSED_BYTES: u32 = 48; // TODO(MW): get this from bi pub global BLOB_ACCUMULATOR_PUBLIC_INPUTS: u32 = 3 /* v_acc, z_acc, and gamma_acc */ + 2 * BLS12_FR_LIMBS /* y_acc and gamma^i */ + BLS12_POINT /* c_acc */; +pub global FINAL_BLOB_ACCUMULATOR_PUBLIC_INPUTS: u32 = 1 /* blob_commitments_hash */ + + 1 /* z */ + + BLS12_FR_LIMBS /* y */ + + 2 /* c */; pub global BLOCK_BLOB_PUBLIC_INPUTS: u32 = 2 * BLOB_ACCUMULATOR_PUBLIC_INPUTS /* start and end accumulators */ + 1 /* z */ + BLS12_FR_LIMBS /* gamma */; @@ -462,8 +466,7 @@ pub global BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH: u32 = APPEND_ONLY_TRE + 1 /* vk_tree_root */ + 1 /* protocol_contract_tree_root */ + 1 /* prover_id */ - + BLOCK_BLOB_PUBLIC_INPUTS /* blob_public_inputs */ - + AZTEC_MAX_EPOCH_DURATION * BLOB_PUBLIC_INPUTS * BLOBS_PER_BLOCK; + + BLOCK_BLOB_PUBLIC_INPUTS /* blob_public_inputs */; pub global ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH: u32 = 1 /* previous_archive_root */ + 1 /* end_archive_root */ + 1 /* chain_id */ @@ -473,7 +476,7 @@ pub global ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH: u32 = 1 /* previous_archive_root */ + 1 /* prover_id */ + AZTEC_MAX_EPOCH_DURATION /* proposedBlockHeaderHashes */ + AZTEC_MAX_EPOCH_DURATION * FEE_RECIPIENT_LENGTH /* fees */ - + AZTEC_MAX_EPOCH_DURATION * BLOB_PUBLIC_INPUTS * BLOBS_PER_BLOCK; + + FINAL_BLOB_ACCUMULATOR_PUBLIC_INPUTS /* blob_public_inputs */; pub global NOTE_HASHES_NUM_BYTES_PER_BASE_ROLLUP: u32 = 32 * MAX_NOTE_HASHES_PER_TX; pub global NULLIFIERS_NUM_BYTES_PER_BASE_ROLLUP: u32 = 32 * MAX_NULLIFIERS_PER_TX; pub global PUBLIC_DATA_WRITES_NUM_BYTES_PER_BASE_ROLLUP: u32 = From 3f75d580923367e3b92e9e6b0a0c6961365c7ab1 Mon Sep 17 00:00:00 2001 From: Miranda Wood Date: Wed, 4 Jun 2025 16:22:47 +0100 Subject: [PATCH 06/11] feat: WIP integrate batched blobs into l1 contracts + ts (#14329) ## Finalises integration of batched blobs `mw/blob-batching-integration` adds batching to the rollup .nr circuits only (=> will not run in the repo). This PR brings those changes downstream to the typescript and L1 contracts. Main changes: - L1 Contracts: - No longer calls the point evaluation precompile on `propose`, instead injects the blob commitments, check they correspond to the broadcast blobs, and stores them in the `blobCommitmentsHash` - Does not store any blob public inputs apart from the `blobCommitmentsHash` (no longer required) - Calls the point evaluation precompile once on `submitEpochRootProof` for ALL blobs in the epoch - Uses the same precompile inputs as pubic inputs to the root proof verification alonge with the `blobCommitmentsHash` to link the circuit batched blob, real L1 blobs, and the batched blob verified on L1 - Refactors mock blob oracle - Injects the final blob challenges used on each blob into all block building methods in `orchestrator` - Accumulates blobs in ts when building blocks and uses as inputs to each rollup circuit - Returns the blob inputs required for `submitEpochRootProof` on `finaliseEpoch()` - Updates nr structs in ts plus fixtures and tests ## TODOs/Current issues - ~When using real proofs (e.g. `yarn-project/prover-client/src/test/bb_prover_full_rollup.test.ts`), the root rollup proof is generated correctly but fails verification checks in `bb` due to incorrect number of public inputs. Changing the number correctly updates vks and all constants elsewhere, but `bb` does not change.~ EDIT: solved - must include the `is_inf` point member for now (see below TODO) - ~The `Prover.toml` for block-root is not executing. The error manifests in the same way as that in https://github.com/AztecProtocol/aztec-packages/pull/12540 (but may be different).~ EDIT: temporarily fixed - details in this repro (#14381) and noir issue (https://github.com/noir-lang/noir/issues/8563). - BLS points in noir take up 9 fields (4 for each coordinate as a limbed bignum, 1 for the `is_inf` flag) but can be compressed to only 2. For recursive verification in block root and above, would it be worth the gates to compress these? It depends whether the gate cost of compression is more/less than gate cost of recursively verifying 7 more public inputs. ## PR Stack - [ ] `mw/blob-batching` <- main feature - [ ] ^ `mw/blob-batching-bls-utils` <- BLS12-381 bigcurve and bignum utils (noir) (#13583) - [ ] ^ `mw/blob-batching-bls-utils-ts` <- BLS12-381 bigcurve and bignum utils (ts) (#13606) - [ ] ^ `mw/blob-batching-integration` <- Integrate batching into noir protocol circuits (#13817) - [x] ^ `mw/blob-batching-integration-ts-sol` <- Integrate batching into ts and solidity (#14329) --------- Co-authored-by: Tom French <15848336+TomAFrench@users.noreply.github.com> --- l1-contracts/src/core/Rollup.sol | 11 +- l1-contracts/src/core/interfaces/IRollup.sol | 13 +- .../src/core/libraries/ConstantsGen.sol | 5 +- l1-contracts/src/core/libraries/Errors.sol | 10 +- .../src/core/libraries/rollup/BlobLib.sol | 148 +- .../core/libraries/rollup/EpochProofLib.sol | 115 +- .../core/libraries/rollup/ExtRollupLib.sol | 2 +- .../src/core/libraries/rollup/ProposeLib.sol | 26 +- l1-contracts/test/Rollup.t.sol | 116 +- l1-contracts/test/base/DecoderBase.sol | 7 +- l1-contracts/test/base/RollupBase.sol | 63 +- l1-contracts/test/benchmark/happy.t.sol | 34 +- l1-contracts/test/fees/FeeRollup.t.sol | 34 +- l1-contracts/test/fixtures/empty_block_1.json | 15 +- l1-contracts/test/fixtures/empty_block_2.json | 17 +- l1-contracts/test/fixtures/mixed_block_1.json | 83 +- l1-contracts/test/fixtures/mixed_block_2.json | 87 +- .../test/fixtures/single_tx_block_1.json | 35 +- .../test/fixtures/single_tx_block_2.json | 39 +- .../ValidatorSelection.t.sol | 4 +- .../crates/blob/src/blob_batching.nr | 2 +- .../blob/src/blob_batching_public_inputs.nr | 4 +- .../crates/blob/src/mock_blob_oracle.nr | 32 +- .../crates/rollup-block-merge/Prover.toml | 6852 +++------------- .../crates/rollup-block-root/Prover.toml | 461 +- .../src/abis/block_root_rollup_data.nr | 4 +- .../block_merge/block_merge_rollup_inputs.nr | 12 +- .../block_root/block_root_rollup_inputs.nr | 4 +- .../block_root_rollup_output_composer.nr | 44 +- .../rollup-lib/src/root/root_rollup_inputs.nr | 23 +- .../crates/rollup-root/Prover.toml | 6862 +++-------------- .../crates/types/src/constants.nr | 9 +- yarn-project/blob-lib/src/blob.ts | 12 + yarn-project/blob-lib/src/blob_batching.ts | 25 + .../src/blob_batching_public_inputs.test.ts | 94 + .../src/blob_batching_public_inputs.ts | 241 + .../blob-lib/src/blob_public_inputs.test.ts | 80 - .../blob-lib/src/blob_public_inputs.ts | 157 - yarn-project/blob-lib/src/index.ts | 2 +- yarn-project/blob-lib/src/testing.ts | 32 +- yarn-project/constants/src/constants.gen.ts | 12 +- .../constants/src/scripts/constants.in.ts | 3 +- .../composed/integration_l1_publisher.test.ts | 49 +- .../e2e_epochs/epochs_empty_blocks.test.ts | 4 +- .../src/e2e_epochs/epochs_proof_fails.test.ts | 11 +- .../fixtures/dumps/epoch_proof_result.json | 2 +- yarn-project/ethereum/src/contracts/rollup.ts | 8 +- .../foundation/src/fields/bls12_point.ts | 9 + .../src/conversion/server.ts | 187 +- .../src/utils/server/foreign_call_handler.ts | 63 +- .../src/block-factory/light.test.ts | 27 +- .../prover-client/src/mocks/test_context.ts | 4 + .../orchestrator/block-building-helpers.ts | 25 +- .../src/orchestrator/block-proving-state.ts | 63 +- .../block_building_helpers.test.ts | 54 +- .../src/orchestrator/epoch-proving-state.ts | 33 +- .../src/orchestrator/orchestrator.ts | 49 +- .../orchestrator/orchestrator_errors.test.ts | 21 +- .../orchestrator_failures.test.ts | 6 +- .../orchestrator_lifecycle.test.ts | 5 +- .../orchestrator_mixed_blocks.test.ts | 6 +- ...rchestrator_multi_public_functions.test.ts | 9 +- .../orchestrator_multiple_blocks.test.ts | 30 +- .../orchestrator_public_functions.test.ts | 9 +- .../orchestrator_single_blocks.test.ts | 15 +- .../orchestrator_workflow.test.ts | 16 +- .../src/prover-client/server-epoch-prover.ts | 12 +- .../src/test/bb_prover_full_rollup.test.ts | 38 +- yarn-project/prover-node/package.json | 1 + .../src/job/epoch-proving-job.test.ts | 11 +- .../prover-node/src/job/epoch-proving-job.ts | 19 +- .../src/prover-node-publisher.test.ts | 10 + .../prover-node/src/prover-node-publisher.ts | 70 +- yarn-project/prover-node/tsconfig.json | 3 + .../src/publisher/sequencer-publisher.test.ts | 2 +- .../src/publisher/sequencer-publisher.ts | 2 +- .../stdlib/src/interfaces/epoch-prover.ts | 10 +- ...block_root_or_block_merge_public_inputs.ts | 6 +- .../stdlib/src/rollup/block_root_rollup.ts | 20 +- yarn-project/stdlib/src/rollup/root_rollup.ts | 10 +- yarn-project/stdlib/src/tests/factories.ts | 14 +- yarn-project/yarn.lock | 1 + 82 files changed, 4191 insertions(+), 12574 deletions(-) create mode 100644 yarn-project/blob-lib/src/blob_batching_public_inputs.test.ts create mode 100644 yarn-project/blob-lib/src/blob_batching_public_inputs.ts delete mode 100644 yarn-project/blob-lib/src/blob_public_inputs.test.ts delete mode 100644 yarn-project/blob-lib/src/blob_public_inputs.ts diff --git a/l1-contracts/src/core/Rollup.sol b/l1-contracts/src/core/Rollup.sol index d1dd91f60fb3..530da5d37d0b 100644 --- a/l1-contracts/src/core/Rollup.sol +++ b/l1-contracts/src/core/Rollup.sol @@ -316,7 +316,7 @@ contract Rollup is IStaking, IValidatorSelection, IRollup, RollupCore { external view override(IRollup) - returns (bytes32[] memory, bytes32, bytes32) + returns (bytes32[] memory, bytes32, bytes[] memory) { return ExtRollupLib.validateBlobs(_blobsInput, checkBlob); } @@ -357,13 +357,18 @@ contract Rollup is IStaking, IValidatorSelection, IRollup, RollupCore { return FeeHeaderLib.decompress(FeeLib.getStorage().feeHeaders[_blockNumber]); } - function getBlobPublicInputsHash(uint256 _blockNumber) + function getBlobCommitmentsHash(uint256 _blockNumber) external view override(IRollup) returns (bytes32) { - return STFLib.getStorage().blobPublicInputsHashes[_blockNumber]; + return STFLib.getStorage().blobCommitmentsHash[_blockNumber]; + } + + function getCurrentBlobCommitmentsHash() external view override(IRollup) returns (bytes32) { + RollupStore storage rollupStore = STFLib.getStorage(); + return rollupStore.blobCommitmentsHash[rollupStore.tips.pendingBlockNumber]; } function getConfig(address _attester) diff --git a/l1-contracts/src/core/interfaces/IRollup.sol b/l1-contracts/src/core/interfaces/IRollup.sol index 67f3ad643218..cfa59546c026 100644 --- a/l1-contracts/src/core/interfaces/IRollup.sol +++ b/l1-contracts/src/core/interfaces/IRollup.sol @@ -27,7 +27,7 @@ struct SubmitEpochRootProofArgs { uint256 end; // inclusive PublicInputArgs args; bytes32[] fees; - bytes blobPublicInputs; + bytes blobInputs; bytes proof; } @@ -93,18 +93,18 @@ struct RollupConfig { uint256 version; } -// The below blobPublicInputsHashes are filled when proposing a block, then used to verify an epoch proof. -// TODO(#8955): When implementing batched kzg proofs, store one instance per epoch rather than block struct RollupStore { ChainTips tips; // put first such that the struct slot structure is easy to follow for cheatcodes mapping(uint256 blockNumber => BlockLog log) blocks; - mapping(uint256 blockNumber => bytes32) blobPublicInputsHashes; mapping(address => uint256) sequencerRewards; mapping(Epoch => EpochRewards) epochRewards; // @todo Below can be optimised with a bitmap as we can benefit from provers likely proving for epochs close // to one another. mapping(address prover => mapping(Epoch epoch => bool claimed)) proverClaimed; RollupConfig config; + // TODO(#14646): We only ever need to store AZTEC_MAX_EPOCH_DURATION values below => make fixed length and overwrite once we start a new epoch + // Requires us to clear values on successful proven epoch and check when a block starts a new epoch. + mapping(uint256 blockNumber => bytes32) blobCommitmentsHash; // = H(...H(H(commitment_0), commitment_1).... commitment_n) - used to validate we are using the same blob commitments on L1 and in the rollup circuit } interface ITestRollup { @@ -184,7 +184,7 @@ interface IRollup is IRollupCore { function validateBlobs(bytes calldata _blobsInputs) external view - returns (bytes32[] memory, bytes32, bytes32); + returns (bytes32[] memory, bytes32, bytes[] memory); function getManaBaseFeeComponentsAt(Timestamp _timestamp, bool _inFeeAsset) external @@ -203,7 +203,8 @@ interface IRollup is IRollupCore { function getPendingBlockNumber() external view returns (uint256); function getBlock(uint256 _blockNumber) external view returns (BlockLog memory); function getFeeHeader(uint256 _blockNumber) external view returns (FeeHeader memory); - function getBlobPublicInputsHash(uint256 _blockNumber) external view returns (bytes32); + function getBlobCommitmentsHash(uint256 _blockNumber) external view returns (bytes32); + function getCurrentBlobCommitmentsHash() external view returns (bytes32); function getSequencerRewards(address _sequencer) external view returns (uint256); function getCollectiveProverRewardsForEpoch(Epoch _epoch) external view returns (uint256); diff --git a/l1-contracts/src/core/libraries/ConstantsGen.sol b/l1-contracts/src/core/libraries/ConstantsGen.sol index be744be97214..25e457e2cf86 100644 --- a/l1-contracts/src/core/libraries/ConstantsGen.sol +++ b/l1-contracts/src/core/libraries/ConstantsGen.sol @@ -23,10 +23,9 @@ library Constants { uint256 internal constant GENESIS_ARCHIVE_ROOT = 1002640778211850180189505934749257244705296832326768971348723156503780793518; uint256 internal constant FEE_JUICE_ADDRESS = 5; - uint256 internal constant BLOB_PUBLIC_INPUTS = 6; - uint256 internal constant BLOB_PUBLIC_INPUTS_BYTES = 112; + uint256 internal constant BLS12_POINT_COMPRESSED_BYTES = 48; uint256 internal constant PROPOSED_BLOCK_HEADER_LENGTH_BYTES = 348; - uint256 internal constant ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH = 1015; + uint256 internal constant ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH = 158; uint256 internal constant NUM_MSGS_PER_BASE_PARITY = 4; uint256 internal constant NUM_BASE_PARITY_PER_ROOT_PARITY = 4; } diff --git a/l1-contracts/src/core/libraries/Errors.sol b/l1-contracts/src/core/libraries/Errors.sol index 1687f2560eb1..74b321d48220 100644 --- a/l1-contracts/src/core/libraries/Errors.sol +++ b/l1-contracts/src/core/libraries/Errors.sol @@ -57,9 +57,8 @@ library Errors { error Rollup__InvalidProof(); // 0xa5b2ba17 error Rollup__InvalidProposedArchive(bytes32 expected, bytes32 actual); // 0x32532e73 error Rollup__InvalidTimestamp(Timestamp expected, Timestamp actual); // 0x3132e895 - error Rollup__InvalidBlobHash(bytes32 blobHash); // 0xc4a168c6 + error Rollup__InvalidBlobHash(bytes32 expected, bytes32 actual); // 0x13031e6a error Rollup__InvalidBlobProof(bytes32 blobHash); // 0x5ca17bef - error Rollup__InvalidBlobPublicInputsHash(bytes32 expected, bytes32 actual); // 0xfe6b4994 error Rollup__NoEpochToProve(); // 0xcbaa3951 error Rollup__NonSequentialProving(); // 0x1e5be132 error Rollup__NothingToPrune(); // 0x850defd3 @@ -71,9 +70,10 @@ library Errors { error Rollup__NonZeroDaFee(); // 0xd9c75f52 error Rollup__InvalidBasisPointFee(uint256 basisPointFee); // 0x4292d136 error Rollup__InvalidManaBaseFee(uint256 expected, uint256 actual); // 0x73b6d896 - error Rollup__StartAndEndNotSameEpoch(Epoch start, Epoch end); - error Rollup__StartIsNotFirstBlockOfEpoch(); - error Rollup__StartIsNotBuildingOnProven(); + error Rollup__StartAndEndNotSameEpoch(Epoch start, Epoch end); // 0xb64ec33e + error Rollup__StartIsNotFirstBlockOfEpoch(); // 0x4ef11e0d + error Rollup__StartIsNotBuildingOnProven(); // 0x4a59f42e + error Rollup__TooManyBlocksInEpoch(uint256 expected, uint256 actual); // 0x7d5b1408 error Rollup__AlreadyClaimed(address prover, Epoch epoch); error Rollup__NotPastDeadline(Slot deadline, Slot currentSlot); error Rollup__PastDeadline(Slot deadline, Slot currentSlot); diff --git a/l1-contracts/src/core/libraries/rollup/BlobLib.sol b/l1-contracts/src/core/libraries/rollup/BlobLib.sol index 4e48e4878eed..e87c0a3331d9 100644 --- a/l1-contracts/src/core/libraries/rollup/BlobLib.sol +++ b/l1-contracts/src/core/libraries/rollup/BlobLib.sol @@ -29,74 +29,134 @@ library BlobLib { * @notice Validate an L2 block's blobs and return the hashed blobHashes and public inputs. * Input bytes: * input[:1] - num blobs in block - * input[1:] - 192 * num blobs of the above _blobInput - * @param _blobsInput - The above bytes to verify a blob + * input[1:] - blob commitments (48 bytes * num blobs in block) + * @param _blobsInput - The above bytes to verify our input blob commitments match real blobs + * @param _checkBlob - Whether to skip blob related checks. Hardcoded to true (See RollupCore.sol -> checkBlob), exists only to be overriden in tests. */ function validateBlobs(bytes calldata _blobsInput, bool _checkBlob) internal view returns ( - // All of the blob hashes included in this blob + // All of the blob hashes included in this block bytes32[] memory blobHashes, bytes32 blobsHashesCommitment, - bytes32 blobPublicInputsHash + bytes[] memory blobCommitments ) { // We cannot input the incorrect number of blobs below, as the blobsHash // and epoch proof verification will fail. uint8 numBlobs = uint8(_blobsInput[0]); blobHashes = new bytes32[](numBlobs); - bytes memory blobPublicInputs; + blobCommitments = new bytes[](numBlobs); + bytes32 blobHash; + // Add 1 for the numBlobs prefix + uint256 blobInputStart = 1; for (uint256 i = 0; i < numBlobs; i++) { - // Add 1 for the numBlobs prefix - uint256 blobInputStart = i * 192 + 1; - // Since an invalid blob hash here would fail the consensus checks of - // the header, the `blobInput` is implicitly accepted by consensus as well. - blobHashes[i] = validateBlob(_blobsInput[blobInputStart:blobInputStart + 192], i, _checkBlob); - // We want to extract the 112 bytes we use for public inputs: - // * input[32:64] - z - // * input[64:96] - y - // * input[96:144] - commitment C - // Out of 192 bytes per blob. - blobPublicInputs = abi.encodePacked( - blobPublicInputs, - _blobsInput[blobInputStart + 32:blobInputStart + 32 + Constants.BLOB_PUBLIC_INPUTS_BYTES] + // Commitments = arrays of bytes48 compressed points + blobCommitments[i] = abi.encodePacked( + _blobsInput[blobInputStart:blobInputStart + Constants.BLS12_POINT_COMPRESSED_BYTES] ); + blobInputStart += Constants.BLS12_POINT_COMPRESSED_BYTES; + + // TODO(#14646): Use kzg_to_versioned_hash & VERSIONED_HASH_VERSION_KZG + // Using bytes32 array to force bytes into memory + bytes32[1] memory blobHashCheck = [sha256(blobCommitments[i])]; + // Until we use an external kzg_to_versioned_hash(), calculating it here: + // EIP-4844 spec blobhash is 32 bytes: [version, ...sha256(commitment)[1:32]] + // The version = VERSIONED_HASH_VERSION_KZG, currently 0x01. + assembly { + mstore8(blobHashCheck, 0x01) + } + if (_checkBlob) { + assembly { + blobHash := blobhash(i) + } + // The below check ensures that our injected blobCommitments indeed match the real + // blobs submitted with this block. They are then used in the blobCommitmentsHash (see below). + require( + blobHash == blobHashCheck[0], Errors.Rollup__InvalidBlobHash(blobHash, blobHashCheck[0]) + ); + } else { + blobHash = blobHashCheck[0]; + } + blobHashes[i] = blobHash; } - // Return the hash of all z, y, and Cs, so we can use them in proof verification later - blobPublicInputsHash = sha256(blobPublicInputs); // Hash the EVM blob hashes for the block header + // TODO(#13430): The below blobsHashesCommitment known as blobsHash elsewhere in the code. The name blobsHashesCommitment is confusingly similar to blobCommitmentsHash + // which are different values: + // - blobsHash := sha256([blobhash_0, ..., blobhash_m]) = a hash of all blob hashes in a block with m+1 blobs inserted into the header, exists so a user can cross check blobs. + // - blobCommitmentsHash := sha256( ...sha256(sha256(C_0), C_1) ... C_n) = iteratively calculated hash of all blob commitments in an epoch with n+1 blobs (see calculateBlobCommitmentsHash()), + // exists so we can validate injected commitments to the rollup circuits correspond to the correct real blobs. + // We may be able to combine these values e.g. blobCommitmentsHash := sha256( ...sha256(sha256(blobshash_0), blobshash_1) ... blobshash_l) for an epoch with l+1 blocks. blobsHashesCommitment = Hash.sha256ToField(abi.encodePacked(blobHashes)); } /** - * @notice Validate a blob. + * @notice Validate a batched blob. * Input bytes: - * input[:32] - versioned_hash - * input[32:64] - z - * input[64:96] - y - * input[96:144] - commitment C - * input[144:192] - proof (a commitment to the quotient polynomial q(X)) - * - This can be relaxed to happen at the time of `submitProof` instead - * @notice Apparently there is no guarantee that the blobs will be processed in the order sent - * so the use of blobhash(_blobNumber) may fail in production - * @param _blobInput - The above bytes to verify a blob + * input[:32] - versioned_hash - NB for a batched blob, this is simply the versioned hash of the batched commitment + * input[32:64] - z = poseidon2( ...poseidon2(poseidon2(z_0, z_1), z_2) ... z_n) + * input[64:96] - y = y_0 + gamma * y_1 + gamma^2 * y_2 + ... + gamma^n * y_n + * input[96:144] - commitment C = C_0 + gamma * C_1 + gamma^2 * C_2 + ... + gamma^n * C_n + * input[144:192] - proof (a commitment to the quotient polynomial q(X)) = Q_0 + gamma * Q_1 + gamma^2 * Q_2 + ... + gamma^n * Q_n + * @param _blobInput - The above bytes to verify a batched blob + * + * If this function passes where the values of z, y, and C are valid public inputs to the final epoch root proof, then + * we know that the data in each blob of the epoch corresponds to the tx effects of all our proven txs in the epoch. + * + * The rollup circuits calculate each z_i and y_i as above, so if this function passes but they do not match the values from the + * circuit, then proof verification will fail. + * + * Each commitment C_i is injected into the circuits and their correctness is validated using the blobCommitmentsHash, as + * explained below in calculateBlobCommitmentsHash(). + * */ - function validateBlob(bytes calldata _blobInput, uint256 _blobNumber, bool _checkBlob) - internal - view - returns (bytes32 blobHash) - { - if (!_checkBlob) { - return bytes32(_blobInput[0:32]); + function validateBatchedBlob(bytes calldata _blobInput) internal view returns (bool success) { + // Staticcall the point eval precompile https://eips.ethereum.org/EIPS/eip-4844#point-evaluation-precompile : + (success,) = address(0x0a).staticcall(_blobInput); + require(success, Errors.Rollup__InvalidBlobProof(bytes32(_blobInput[0:32]))); + } + + /** + * @notice Calculate the current state of the blobCommitmentsHash. Called for each new proposed block. + * @param _previousblobCommitmentsHash - The previous block's blobCommitmentsHash. + * @param _blobCommitments - The commitments corresponding to this block's blobs. + * @param _isFirstBlockOfEpoch - Whether this block is the first of an epoch (see below). + * + * The blobCommitmentsHash is an accumulated value calculated in the rollup circuits as: + * blobCommitmentsHash_i := sha256(blobCommitmentsHash_(i - 1), C_i) + * for each blob commitment C_i in an epoch. For the first blob in the epoch (i = 0): + * blobCommitmentsHash_i := sha256(C_0) + * which is why we require _isFirstBlockOfEpoch here. + * + * Each blob commitment is injected into the rollup circuits and we rely on the L1 contracts to validate + * these commitments correspond to real blobs. The input _blobCommitments below come from validateBlobs() + * so we know they are valid commitments here. + * + * We recalculate the same blobCommitmentsHash (which encompasses all claimed blobs in the epoch) + * as in the rollup circuits, then use the final value as a public input to the root rollup proof + * verification in EpochProofLib.sol. + * + * If the proof verifies, we know that the injected commitments used in the rollup circuits match + * the real commitments to L1 blobs. + * + */ + function calculateBlobCommitmentsHash( + bytes32 _previousblobCommitmentsHash, + bytes[] memory _blobCommitments, + bool _isFirstBlockOfEpoch + ) internal pure returns (bytes32 currentblobCommitmentsHash) { + uint256 i = 0; + currentblobCommitmentsHash = _previousblobCommitmentsHash; + // If we are at the first block of an epoch, we reinitialise the blobCommitmentsHash. + // Blob commitments are collected and proven per root rollup proof => per epoch. + if (_isFirstBlockOfEpoch) { + // Initialise the blobCommitmentsHash + currentblobCommitmentsHash = Hash.sha256ToField(abi.encodePacked(_blobCommitments[i++])); } - assembly { - blobHash := blobhash(_blobNumber) + for (i; i < _blobCommitments.length; i++) { + currentblobCommitmentsHash = + Hash.sha256ToField(abi.encodePacked(currentblobCommitmentsHash, _blobCommitments[i])); } - require(blobHash == bytes32(_blobInput[0:32]), Errors.Rollup__InvalidBlobHash(blobHash)); - - // Staticcall the point eval precompile https://eips.ethereum.org/EIPS/eip-4844#point-evaluation-precompile : - (bool success,) = address(0x0a).staticcall(_blobInput); - require(success, Errors.Rollup__InvalidBlobProof(blobHash)); } } diff --git a/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol b/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol index 1ef239d2b1af..9e17d1304601 100644 --- a/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol +++ b/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol @@ -12,6 +12,7 @@ import { import {RollupStore, SubmitEpochRootProofArgs} from "@aztec/core/interfaces/IRollup.sol"; import {Constants} from "@aztec/core/libraries/ConstantsGen.sol"; import {Errors} from "@aztec/core/libraries/Errors.sol"; +import {BlobLib} from "@aztec/core/libraries/rollup/BlobLib.sol"; import { CompressedFeeHeader, FeeHeaderLib, @@ -66,16 +67,19 @@ library EpochProofLib { * - The block number is past the pending chain * - The last archive root of the header does not match the archive root of parent block * - The archive root of the header does not match the archive root of the proposed block + * - The batched blob proof is invalid + * - The batched blob proof does not correspond to the rollup data * - The proof is invalid * * @dev We provide the `_archive` even if it could be read from storage itself because it allow for better error * messages. Without passing it, we would just have a proof verification failure. * * @param _args - The arguments to submit the epoch root proof: - * _epochSize - The size of the epoch (to be promoted to a constant) + * _start - The block number at the start of the epoch + * _end - The block number at the end of the epoch * _args - Array of public inputs to the proof (previousArchive, endArchive, endTimestamp, outHash, proverId) * _fees - Array of recipient-value pairs with fees to be distributed for the epoch - * _blobPublicInputs - The blob public inputs for the proof + * _blobInputs - The batched blob inputs for the EVM point evaluation precompile and as public inputs for the proof * _proof - The proof to verify */ function submitEpochRootProof(SubmitEpochRootProofArgs calldata _args) internal { @@ -152,7 +156,7 @@ library EpochProofLib { // vk_tree_root: Field, // protocol_contract_tree_root: Field, // prover_id: Field, - // blob_public_inputs: [BlockBlobPublicInputs; Constants.AZTEC_MAX_EPOCH_DURATION], // <--This will be reduced to 1 if/when we implement multi-opening for blob verification + // blob_public_inputs: FinalBlobAccumulatorPublicInputs, // } { // previous_archive.root: the previous archive tree root @@ -195,36 +199,33 @@ library EpochProofLib { publicInputs[offset] = addressToField(_args.proverId); offset += 1; - { - BlobVarsTemp memory tmp = BlobVarsTemp({blobOffset: 0, offset: offset, i: 0}); - // blob_public_inputs - for (; tmp.i < numBlocks; tmp.i++) { - uint8 blobsInBlock = uint8(_blobPublicInputs[tmp.blobOffset++]); - for (uint256 j = 0; j < Constants.BLOBS_PER_BLOCK; j++) { - if (j < blobsInBlock) { - // z - publicInputs[tmp.offset++] = - bytes32(_blobPublicInputs[tmp.blobOffset:tmp.blobOffset += 32]); - // y - (publicInputs[tmp.offset++], publicInputs[tmp.offset++], publicInputs[tmp.offset++]) = - bytes32ToBigNum(bytes32(_blobPublicInputs[tmp.blobOffset:tmp.blobOffset += 32])); - // To fit into 2 fields, the commitment is split into 31 and 17 byte numbers - // See yarn-project/foundation/src/blob/index.ts -> commitmentToFields() - // TODO: The below left pads, possibly inefficiently - // c[0] - publicInputs[tmp.offset++] = bytes32( - uint256(uint248(bytes31(_blobPublicInputs[tmp.blobOffset:tmp.blobOffset += 31]))) - ); - // c[1] - publicInputs[tmp.offset++] = bytes32( - uint256(uint136(bytes17(_blobPublicInputs[tmp.blobOffset:tmp.blobOffset += 17]))) - ); - } else { - tmp.offset += Constants.BLOB_PUBLIC_INPUTS; - } - } - } - } + // FinalBlobAccumulatorPublicInputs: + // The blob public inputs do not require the versioned hash of the batched commitment, which is stored in _blobPublicInputs[0:32] + // or the KZG opening 'proof' (commitment Q) stored in _blobPublicInputs[144:]. They are used in validateBatchedBlob(). + // See BlobLib.sol -> validateBatchedBlob() and calculateBlobCommitmentsHash() for documentation on the below blob related inputs. + + // blobCommitmentsHash + publicInputs[offset] = rollupStore.blobCommitmentsHash[_end]; + offset += 1; + + // z + publicInputs[offset] = bytes32(_blobPublicInputs[32:64]); + offset += 1; + + // y + (publicInputs[offset], publicInputs[offset + 1], publicInputs[offset + 2]) = + bytes32ToBigNum(bytes32(_blobPublicInputs[64:96])); + offset += 3; + + // To fit into 2 fields, the commitment is split into 31 and 17 byte numbers + // See yarn-project/foundation/src/blob/index.ts -> commitmentToFields() + // TODO: The below left pads, possibly inefficiently + // c[0] + publicInputs[offset] = bytes32(uint256(uint248(bytes31((_blobPublicInputs[96:127]))))); + // c[1] + publicInputs[offset + 1] = bytes32(uint256(uint136(bytes17((_blobPublicInputs[127:144]))))); + offset += 2; + return publicInputs; } @@ -326,6 +327,12 @@ library EpochProofLib { bool isStartBuildingOnProven = _start - 1 <= rollupStore.tips.provenBlockNumber; require(isStartBuildingOnProven, Errors.Rollup__StartIsNotBuildingOnProven()); + bool claimedNumBlocksInEpoch = _end - _start + 1 <= Constants.AZTEC_MAX_EPOCH_DURATION; + require( + claimedNumBlocksInEpoch, + Errors.Rollup__TooManyBlocksInEpoch(Constants.AZTEC_MAX_EPOCH_DURATION, _end - _start) + ); + return endEpoch; } @@ -336,22 +343,10 @@ library EpochProofLib { { RollupStore storage rollupStore = STFLib.getStorage(); - uint256 size = _args.end - _args.start + 1; - - for (uint256 i = 0; i < size; i++) { - uint256 blobOffset = i * Constants.BLOB_PUBLIC_INPUTS_BYTES + i; - uint8 blobsInBlock = uint8(_args.blobPublicInputs[blobOffset++]); - checkBlobPublicInputsHashes( - _args.blobPublicInputs, - rollupStore.blobPublicInputsHashes[_args.start + i], - blobOffset, - blobsInBlock - ); - } + BlobLib.validateBatchedBlob(_args.blobInputs); - bytes32[] memory publicInputs = getEpochProofPublicInputs( - _args.start, _args.end, _args.args, _args.fees, _args.blobPublicInputs - ); + bytes32[] memory publicInputs = + getEpochProofPublicInputs(_args.start, _args.end, _args.args, _args.fees, _args.blobInputs); require( rollupStore.config.epochProofVerifier.verify(_args.proof, publicInputs), @@ -361,30 +356,6 @@ library EpochProofLib { return true; } - /** - * Helper fn to prevent stack too deep. Checks blob public input hashes match for a block: - * @param _blobPublicInputs - The provided blob public inputs bytes array - * @param _blobPublicInputsHash - The stored blob public inputs hash - * @param _index - The index to start in _blobPublicInputs - * @param _blobsInBlock - The number of blobs in this block - */ - function checkBlobPublicInputsHashes( - bytes calldata _blobPublicInputs, - bytes32 _blobPublicInputsHash, - uint256 _index, - uint8 _blobsInBlock - ) private pure { - bytes32 calcBlobPublicInputsHash = sha256( - abi.encodePacked( - _blobPublicInputs[_index:_index + Constants.BLOB_PUBLIC_INPUTS_BYTES * _blobsInBlock] - ) - ); - require( - calcBlobPublicInputsHash == _blobPublicInputsHash, - Errors.Rollup__InvalidBlobPublicInputsHash(_blobPublicInputsHash, calcBlobPublicInputsHash) - ); - } - /** * @notice Converts a BLS12 field element from bytes32 to a nr BigNum type * The nr bignum type for BLS12 fields is encoded as 3 nr fields - see blob_public_inputs.ts: diff --git a/l1-contracts/src/core/libraries/rollup/ExtRollupLib.sol b/l1-contracts/src/core/libraries/rollup/ExtRollupLib.sol index a95280f8fbd0..7fac9be63ef5 100644 --- a/l1-contracts/src/core/libraries/rollup/ExtRollupLib.sol +++ b/l1-contracts/src/core/libraries/rollup/ExtRollupLib.sol @@ -87,7 +87,7 @@ library ExtRollupLib { returns ( bytes32[] memory blobHashes, bytes32 blobsHashesCommitment, - bytes32 blobPublicInputsHash + bytes[] memory blobCommitments ) { return BlobLib.validateBlobs(_blobsInput, _checkBlob); diff --git a/l1-contracts/src/core/libraries/rollup/ProposeLib.sol b/l1-contracts/src/core/libraries/rollup/ProposeLib.sol index 2dd006175b19..a97d8955807c 100644 --- a/l1-contracts/src/core/libraries/rollup/ProposeLib.sol +++ b/l1-contracts/src/core/libraries/rollup/ProposeLib.sol @@ -43,7 +43,7 @@ struct ProposePayload { struct InterimProposeValues { bytes32[] blobHashes; bytes32 blobsHashesCommitment; - bytes32 blobPublicInputsHash; + bytes[] blobCommitments; bytes32 inHash; uint256 outboxMinsize; bytes32 headerHash; @@ -78,12 +78,16 @@ library ProposeLib { * * @param _args - The arguments to propose the block * @param _attestations - Signatures (or empty) from the validators - * @param _blobInput - The blob evaluation KZG proof, challenge, and opening required for the precompile. + * Input _blobsInput bytes: + * input[:1] - num blobs in block + * input[1:] - blob commitments (48 bytes * num blobs in block) + * @param _blobsInput - The above bytes to verify our input blob commitments match real blobs + * @param _checkBlob - Whether to skip blob related checks. Hardcoded to true (See RollupCore.sol -> checkBlob), exists only to be overriden in tests. */ function propose( ProposeArgs calldata _args, CommitteeAttestation[] memory _attestations, - bytes calldata _blobInput, + bytes calldata _blobsInput, bool _checkBlob ) internal { if (STFLib.canPruneAtTime(Timestamp.wrap(block.timestamp))) { @@ -92,10 +96,11 @@ library ProposeLib { FeeLib.updateL1GasFeeOracle(); InterimProposeValues memory v; - // Since an invalid blob hash here would fail the consensus checks of - // the header, the `blobInput` is implicitly accepted by consensus as well. - (v.blobHashes, v.blobsHashesCommitment, v.blobPublicInputsHash) = - BlobLib.validateBlobs(_blobInput, _checkBlob); + + // TODO(#13430): The below blobsHashesCommitment known as blobsHash elsewhere in the code. The name is confusingly similar to blobCommitmentsHash, + // see comment in BlobLib.sol -> validateBlobs(). + (v.blobHashes, v.blobsHashesCommitment, v.blobCommitments) = + BlobLib.validateBlobs(_blobsInput, _checkBlob); Header memory header = HeaderLib.decode(_args.header); v.headerHash = HeaderLib.hash(_args.header); @@ -140,7 +145,12 @@ library ProposeLib { components.proverCost ); - rollupStore.blobPublicInputsHashes[blockNumber] = v.blobPublicInputsHash; + // Blob commitments are collected and proven per root rollup proof (=> per epoch), so we need to know whether we are at the epoch start: + bool isFirstBlockOfEpoch = + currentEpoch > STFLib.getEpochForBlock(blockNumber - 1) || blockNumber == 1; + rollupStore.blobCommitmentsHash[blockNumber] = BlobLib.calculateBlobCommitmentsHash( + rollupStore.blobCommitmentsHash[blockNumber - 1], v.blobCommitments, isFirstBlockOfEpoch + ); // @note The block number here will always be >=1 as the genesis block is at 0 v.inHash = rollupStore.config.inbox.consume(blockNumber); diff --git a/l1-contracts/test/Rollup.t.sol b/l1-contracts/test/Rollup.t.sol index 85bea5bf3b6c..08cfe00eb4df 100644 --- a/l1-contracts/test/Rollup.t.sol +++ b/l1-contracts/test/Rollup.t.sol @@ -208,36 +208,11 @@ contract RollupTest is RollupBase { oracleInput: OracleInput(0), txHashes: new bytes32[](0) }); - vm.expectRevert(abi.encodeWithSelector(Errors.Rollup__InvalidBlobHash.selector, blobHashes[0])); - rollup.propose(args, attestations, data.blobInputs); - } - - function testInvalidBlobProof() public setUpFor("mixed_block_1") { - DecoderBase.Data memory data = load("mixed_block_1").block; - bytes memory header = data.header; - bytes memory blobInput = data.blobInputs; - - // We set the blobHash to the correct value - bytes32[] memory blobHashes = new bytes32[](1); - // The below is the blob hash == bytes [1:33] of _blobInput - bytes32 blobHash; - assembly { - blobHash := mload(add(blobInput, 0x21)) - } - blobHashes[0] = blobHash; - vm.blobhashes(blobHashes); - - // We mess with the blob input bytes - blobInput[100] = 0x01; - ProposeArgs memory args = ProposeArgs({ - header: header, - archive: data.archive, - stateReference: new bytes(0), - oracleInput: OracleInput(0), - txHashes: new bytes32[](0) - }); - vm.expectRevert(abi.encodeWithSelector(Errors.Rollup__InvalidBlobProof.selector, blobHashes[0])); - rollup.propose(args, attestations, blobInput); + bytes32 realBlobHash = this.getBlobHashes(data.blobCommitments)[0]; + vm.expectRevert( + abi.encodeWithSelector(Errors.Rollup__InvalidBlobHash.selector, blobHashes[0], realBlobHash) + ); + rollup.propose(args, attestations, data.blobCommitments); } function testRevertPrune() public setUpFor("mixed_block_1") { @@ -301,7 +276,7 @@ contract RollupTest is RollupBase { oracleInput: OracleInput(0), txHashes: txHashes }); - rollup.propose(args, attestations, data.blobInputs); + rollup.propose(args, attestations, data.blobCommitments); } function testInvalidL2Fee() public setUpFor("mixed_block_1") { @@ -331,7 +306,7 @@ contract RollupTest is RollupBase { oracleInput: OracleInput(0), txHashes: txHashes }); - rollup.propose(args, attestations, data.blobInputs); + rollup.propose(args, attestations, data.blobCommitments); } function testProvingFeeUpdates() public setUpFor("mixed_block_1") { @@ -440,7 +415,7 @@ contract RollupTest is RollupBase { oracleInput: OracleInput(0), txHashes: new bytes32[](0) }); - rollup.propose(args, attestations, data.blobInputs); + rollup.propose(args, attestations, data.blobCommitments); assertEq(testERC20.balanceOf(data.decodedHeader.coinbase), 0, "invalid coinbase balance"); } @@ -450,7 +425,6 @@ contract RollupTest is RollupBase { address prover = address(0x1234); { - bytes memory blobPublicInputs = this.getBlobPublicInputs(data.blobInputs); vm.expectRevert( abi.encodeWithSelector( IERC20Errors.ERC20InsufficientBalance.selector, @@ -464,7 +438,7 @@ contract RollupTest is RollupBase { 1, blockLog.archive, data.archive, - blobPublicInputs, + data.batchedBlobInputs, prover, data.decodedHeader.coinbase, interim.feeAmount @@ -486,7 +460,7 @@ contract RollupTest is RollupBase { 1, blockLog.archive, data.archive, - this.getBlobPublicInputs(data.blobInputs), + data.batchedBlobInputs, address(42), data.decodedHeader.coinbase, interim.feeAmount @@ -601,8 +575,6 @@ contract RollupTest is RollupBase { bytes memory proof = ""; - bytes memory blobPublicInputs = this.getBlobPublicInputs(data.blobInputs); - vm.expectRevert( abi.encodeWithSelector( Errors.Rollup__StartAndEndNotSameEpoch.selector, Epoch.wrap(0), Epoch.wrap(1) @@ -615,7 +587,7 @@ contract RollupTest is RollupBase { end: 2, args: args, fees: fees, - blobPublicInputs: blobPublicInputs, + blobInputs: data.batchedBlobInputs, proof: proof }) ); @@ -632,11 +604,7 @@ contract RollupTest is RollupBase { assertEq(rollup.getProvenBlockNumber(), 0, "Invalid initial proven block number"); BlockLog memory blockLog = rollup.getBlock(0); - bytes memory blobPublicInputs = abi.encodePacked( - this.getBlobPublicInputs(load("mixed_block_1").block.blobInputs), - this.getBlobPublicInputs(data.blobInputs) - ); - _submitEpochProof(1, 2, blockLog.archive, data.archive, blobPublicInputs, address(0)); + _submitEpochProof(1, 2, blockLog.archive, data.archive, data.batchedBlobInputs, address(0)); assertEq(rollup.getPendingBlockNumber(), 2, "Invalid pending block number"); assertEq(rollup.getProvenBlockNumber(), 2, "Invalid proven block number"); @@ -712,7 +680,6 @@ contract RollupTest is RollupBase { function testSubmitProofNonExistentBlock() public setUpFor("empty_block_1") { _proposeBlock("empty_block_1", 1); DecoderBase.Data memory data = load("empty_block_1").block; - bytes memory blobPublicInputs = this.getBlobPublicInputs(data.blobInputs); BlockLog memory blockLog = rollup.getBlock(0); bytes32 wrong = bytes32(uint256(0xdeadbeef)); @@ -721,42 +688,65 @@ contract RollupTest is RollupBase { Errors.Rollup__InvalidPreviousArchive.selector, blockLog.archive, wrong ) ); - _submitEpochProof(1, 1, wrong, data.archive, blobPublicInputs, address(0)); + _submitEpochProof(1, 1, wrong, data.archive, data.batchedBlobInputs, address(0)); } function testSubmitProofInvalidArchive() public setUpFor("empty_block_1") { _proposeBlock("empty_block_1", 1); DecoderBase.Data memory data = load("empty_block_1").block; - bytes memory blobPublicInputs = this.getBlobPublicInputs(data.blobInputs); bytes32 wrongArchive = bytes32(uint256(0xdeadbeef)); BlockLog memory blockLog = rollup.getBlock(0); vm.expectRevert( abi.encodeWithSelector(Errors.Rollup__InvalidArchive.selector, data.archive, 0xdeadbeef) ); - _submitEpochProof(1, 1, blockLog.archive, wrongArchive, blobPublicInputs, address(0)); + _submitEpochProof(1, 1, blockLog.archive, wrongArchive, data.batchedBlobInputs, address(0)); } - function _testSubmitProofInvalidBlobPublicInput() public setUpFor("empty_block_1") { - _proposeBlock({_name: "empty_block_1", _slotNumber: 0}); + function testInvalidBlobProof() public setUpFor("mixed_block_1") { + _proposeBlock({_name: "mixed_block_1", _slotNumber: 0}); - DecoderBase.Data memory data = load("empty_block_1").block; - bytes memory blobPublicInputs = this.getBlobPublicInputs(data.blobInputs); + DecoderBase.Data memory data = load("mixed_block_1").block; + bytes memory blobProofInputs = data.batchedBlobInputs; // mess with the data - blobPublicInputs[100] = 0x01; + blobProofInputs[100] = 0x01; + // The below is the "blob hash" == bytes [0:32] of batchedBlobInputs = VERSIONED_HASH_VERSION_KZG + sha256(batchedBlobCommitment)[1:] + bytes32 blobHash; + assembly { + blobHash := mload(add(blobProofInputs, 0x20)) + } + + BlockLog memory blockLog = rollup.getBlock(0); + vm.expectRevert(abi.encodeWithSelector(Errors.Rollup__InvalidBlobProof.selector, blobHash)); + _submitEpochProof(1, 1, blockLog.archive, data.archive, blobProofInputs, address(0)); + } + + function testTooManyBlocks() public setUpFor("mixed_block_1") { + _proposeBlock("mixed_block_1", 1); + DecoderBase.Data memory data = load("mixed_block_1").block; + + // Set the pending block number to be Constants.AZTEC_MAX_EPOCH_DURATION + 2, so we don't revert early with a different case + stdstore.target(address(rollup)).sig("getPendingBlockNumber()").checked_write( + Constants.AZTEC_MAX_EPOCH_DURATION + 2 + ); BlockLog memory blockLog = rollup.getBlock(0); - bytes32 actualBlobPublicInputsHash = rollup.getBlobPublicInputsHash(data.blockNumber); - bytes32 wrongBlobPublicInputsHash = this.getBlobPublicInputsHash(blobPublicInputs); vm.expectRevert( abi.encodeWithSelector( - Errors.Rollup__InvalidBlobPublicInputsHash.selector, - actualBlobPublicInputsHash, - wrongBlobPublicInputsHash + Errors.Rollup__TooManyBlocksInEpoch.selector, + Constants.AZTEC_MAX_EPOCH_DURATION, + Constants.AZTEC_MAX_EPOCH_DURATION + 1 ) ); - _submitEpochProof(1, 1, blockLog.archive, data.archive, blobPublicInputs, address(0)); + _submitEpochProof( + 1, + Constants.AZTEC_MAX_EPOCH_DURATION + 2, + blockLog.archive, + data.archive, + data.batchedBlobInputs, + address(0) + ); } function _submitEpochProof( @@ -764,11 +754,11 @@ contract RollupTest is RollupBase { uint256 _end, bytes32 _prevArchive, bytes32 _archive, - bytes memory _blobPublicInputs, + bytes memory _blobInputs, address _prover ) internal { _submitEpochProofWithFee( - _start, _end, _prevArchive, _archive, _blobPublicInputs, _prover, address(0), 0 + _start, _end, _prevArchive, _archive, _blobInputs, _prover, address(0), 0 ); } @@ -777,7 +767,7 @@ contract RollupTest is RollupBase { uint256 _end, bytes32 _prevArchive, bytes32 _archive, - bytes memory _blobPublicInputs, + bytes memory _blobInputs, address _prover, address _coinbase, uint256 _fee @@ -795,7 +785,7 @@ contract RollupTest is RollupBase { end: _end, args: args, fees: fees, - blobPublicInputs: _blobPublicInputs, + blobInputs: _blobInputs, proof: "" }) ); diff --git a/l1-contracts/test/base/DecoderBase.sol b/l1-contracts/test/base/DecoderBase.sol index 35a68b3fee69..3bd373fa295d 100644 --- a/l1-contracts/test/base/DecoderBase.sol +++ b/l1-contracts/test/base/DecoderBase.sol @@ -30,7 +30,12 @@ contract DecoderBase is TestBase { struct Data { bytes32 archive; - bytes blobInputs; + // Note: batchedBlobInputs is usually per epoch, rather than per block. For testing, these batchedBlobInputs assume that + // an epoch contains blobs including and up to the 'current' block. + // e.g. mixed_block_2's batchedBlobInputs assumes that the epoch consists of 2 blocks, mixed_block_1 and mixed_block_2, and their blobs. + // e.g. mixed_block_1's batchedBlobInputs assumes the epoch contains only mixed_block_1 and its blob(s). + bytes batchedBlobInputs; // EVM point evaluation precompile inputs for verifying an epoch's batch of blobs + bytes blobCommitments; // [numBlobs, ...blobCommitments], used in proposing blocks uint256 blockNumber; bytes body; DecodedHeader decodedHeader; diff --git a/l1-contracts/test/base/RollupBase.sol b/l1-contracts/test/base/RollupBase.sol index 773d32a34171..0048168cfd47 100644 --- a/l1-contracts/test/base/RollupBase.sol +++ b/l1-contracts/test/base/RollupBase.sol @@ -68,6 +68,7 @@ contract RollupBase is DecoderBase { BlockLog memory parentBlockLog = rollup.getBlock(startBlockNumber - 1); // What are these even? + // ^ public inputs to the root proof? PublicInputArgs memory args = PublicInputArgs({ previousArchive: parentBlockLog.archive, endArchive: endFull.block.archive, @@ -75,17 +76,11 @@ contract RollupBase is DecoderBase { }); bytes32[] memory fees = new bytes32[](Constants.AZTEC_MAX_EPOCH_DURATION * 2); - bytes memory blobPublicInputs; uint256 size = endBlockNumber - startBlockNumber + 1; for (uint256 i = 0; i < size; i++) { fees[i * 2] = bytes32(uint256(uint160(bytes20(("sequencer"))))); // Need the address to be left padded within the bytes32 fees[i * 2 + 1] = bytes32(uint256(blockFees[startBlockNumber + i])); - - string memory blockName = string.concat(_name, Strings.toString(startBlockNumber + i)); - DecoderBase.Full memory blockFull = load(blockName); - blobPublicInputs = - abi.encodePacked(blobPublicInputs, this.getBlobPublicInputs(blockFull.block.blobInputs)); } // All the way down here if reverting. @@ -100,7 +95,7 @@ contract RollupBase is DecoderBase { end: endBlockNumber, args: args, fees: fees, - blobPublicInputs: blobPublicInputs, + blobInputs: endFull.block.batchedBlobInputs, proof: "" }) ); @@ -131,7 +126,7 @@ contract RollupBase is DecoderBase { ) private { DecoderBase.Full memory full = load(_name); bytes memory header = full.block.header; - bytes memory blobInputs = full.block.blobInputs; + bytes memory blobCommitments = full.block.blobCommitments; Slot slotNumber = Slot.wrap(_slotNumber); @@ -161,13 +156,7 @@ contract RollupBase is DecoderBase { DecoderBase.updateHeaderInboxRoot(header, rollup.getInbox().getRoot(full.block.blockNumber)); { - bytes32[] memory blobHashes = new bytes32[](1); - // The below is the blob hash == bytes [1:33] of _blobInput - bytes32 blobHash; - assembly { - blobHash := mload(add(blobInputs, 0x21)) - } - blobHashes[0] = blobHash; + bytes32[] memory blobHashes = this.getBlobHashes(blobCommitments); // https://github.com/foundry-rs/foundry/issues/10074 // don't add blob hashes if forge gas report is true if (!vm.envOr("FORGE_GAS_REPORT", false)) { @@ -189,7 +178,7 @@ contract RollupBase is DecoderBase { if (_revertMsg.length > 0) { vm.expectRevert(_revertMsg); } - rollup.propose(args, attestations, blobInputs); + rollup.propose(args, attestations, blobCommitments); if (_revertMsg.length > 0) { return; @@ -250,32 +239,30 @@ contract RollupBase is DecoderBase { } } - function getBlobPublicInputs(bytes calldata _blobsInput) + function getBlobHashes(bytes calldata _blobCommitments) public pure - returns (bytes memory blobPublicInputs) + returns (bytes32[] memory blobHashes) { - uint8 numBlobs = uint8(_blobsInput[0]); - blobPublicInputs = abi.encodePacked(numBlobs, blobPublicInputs); + uint8 numBlobs = uint8(_blobCommitments[0]); + blobHashes = new bytes32[](numBlobs); + // Add 1 for the numBlobs prefix + uint256 blobInputStart = 1; for (uint256 i = 0; i < numBlobs; i++) { - // Add 1 for the numBlobs prefix - uint256 blobInputStart = i * 192 + 1; - // We want to extract the bytes we use for public inputs: - // * input[32:64] - z - // * input[64:96] - y - // * input[96:144] - commitment C - // Out of 192 bytes per blob. - blobPublicInputs = - abi.encodePacked(blobPublicInputs, _blobsInput[blobInputStart + 32:blobInputStart + 144]); + // blobInputs = [numBlobs, ...blobCommitments], numBlobs is one byte, each commitment is 48 + bytes32[1] memory blobHash = [ + sha256( + abi.encodePacked( + _blobCommitments[blobInputStart:blobInputStart + Constants.BLS12_POINT_COMPRESSED_BYTES] + ) + ) + ]; + blobInputStart += Constants.BLS12_POINT_COMPRESSED_BYTES; + // EVM blobHash = VERSIONED_HASH_VERSION_KZG + sha256(blobCommitment)[1:] => hash the commitment and replace first byte with version + assembly { + mstore8(blobHash, 0x01) + } + blobHashes[i] = blobHash[0]; } } - - function getBlobPublicInputsHash(bytes calldata _blobPublicInputs) - public - pure - returns (bytes32 publicInputsHash) - { - uint8 numBlobs = uint8(_blobPublicInputs[0]); - publicInputsHash = sha256(abi.encodePacked(_blobPublicInputs[1:1 + numBlobs * 112])); - } } diff --git a/l1-contracts/test/benchmark/happy.t.sol b/l1-contracts/test/benchmark/happy.t.sol index 4836b01baba4..88e9dc58963d 100644 --- a/l1-contracts/test/benchmark/happy.t.sol +++ b/l1-contracts/test/benchmark/happy.t.sol @@ -263,7 +263,7 @@ contract BenchmarkRollupTest is FeeModelTestPoints, DecoderBase { return Block({ proposeArgs: proposeArgs, - blobInputs: full.block.blobInputs, + blobInputs: full.block.blobCommitments, attestations: attestations }); } @@ -357,14 +357,6 @@ contract BenchmarkRollupTest is FeeModelTestPoints, DecoderBase { proverId: address(0) }); - bytes memory blobPublicInputs; - for (uint256 j = 0; j < epochSize; j++) { - // For each block in the epoch, add its blob public inputs - // Since we are reusing the same block, they are the same - blobPublicInputs = - abi.encodePacked(blobPublicInputs, this.getBlobPublicInputs(full.block.blobInputs)); - } - { rollup.submitEpochRootProof( SubmitEpochRootProofArgs({ @@ -372,7 +364,7 @@ contract BenchmarkRollupTest is FeeModelTestPoints, DecoderBase { end: start + epochSize - 1, args: args, fees: fees, - blobPublicInputs: blobPublicInputs, + blobInputs: full.block.batchedBlobInputs, proof: "" }) ); @@ -380,26 +372,4 @@ contract BenchmarkRollupTest is FeeModelTestPoints, DecoderBase { } } } - - // This is duplicated from Rollup.t.sol because we need to call it as this.getBlobPublicInputs - // so it accepts the input as calldata - function getBlobPublicInputs(bytes calldata _blobsInput) - public - pure - returns (bytes memory blobPublicInputs) - { - uint8 numBlobs = uint8(_blobsInput[0]); - blobPublicInputs = abi.encodePacked(numBlobs, blobPublicInputs); - for (uint256 i = 0; i < numBlobs; i++) { - // Add 1 for the numBlobs prefix - uint256 blobInputStart = i * 192 + 1; - // We want to extract the bytes we use for public inputs: - // * input[32:64] - z - // * input[64:96] - y - // * input[96:144] - commitment C - // Out of 192 bytes per blob. - blobPublicInputs = - abi.encodePacked(blobPublicInputs, _blobsInput[blobInputStart + 32:blobInputStart + 144]); - } - } } diff --git a/l1-contracts/test/fees/FeeRollup.t.sol b/l1-contracts/test/fees/FeeRollup.t.sol index 73d7c656922c..1fb4f75aecf7 100644 --- a/l1-contracts/test/fees/FeeRollup.t.sol +++ b/l1-contracts/test/fees/FeeRollup.t.sol @@ -178,7 +178,7 @@ contract FeeRollupTest is FeeModelTestPoints, DecoderBase { archive: archiveRoot, header: header, body: body, - blobInputs: full.block.blobInputs, + blobInputs: full.block.blobCommitments, txHashes: txHashes, attestations: attestations }); @@ -390,14 +390,6 @@ contract FeeRollupTest is FeeModelTestPoints, DecoderBase { proverId: address(0) }); - bytes memory blobPublicInputs; - for (uint256 j = 0; j < epochSize; j++) { - // For each block in the epoch, add its blob public inputs - // Since we are reusing the same block, they are the same - blobPublicInputs = - abi.encodePacked(blobPublicInputs, this.getBlobPublicInputs(full.block.blobInputs)); - } - { rollup.submitEpochRootProof( SubmitEpochRootProofArgs({ @@ -405,7 +397,7 @@ contract FeeRollupTest is FeeModelTestPoints, DecoderBase { end: start + epochSize - 1, args: args, fees: fees, - blobPublicInputs: blobPublicInputs, + blobInputs: full.block.batchedBlobInputs, proof: "" }) ); @@ -456,26 +448,4 @@ contract FeeRollupTest is FeeModelTestPoints, DecoderBase { }); assertEq(a, bModel, _message); } - - // This is duplicated from Rollup.t.sol because we need to call it as this.getBlobPublicInputs - // so it accepts the input as calldata - function getBlobPublicInputs(bytes calldata _blobsInput) - public - pure - returns (bytes memory blobPublicInputs) - { - uint8 numBlobs = uint8(_blobsInput[0]); - blobPublicInputs = abi.encodePacked(numBlobs, blobPublicInputs); - for (uint256 i = 0; i < numBlobs; i++) { - // Add 1 for the numBlobs prefix - uint256 blobInputStart = i * 192 + 1; - // We want to extract the bytes we use for public inputs: - // * input[32:64] - z - // * input[64:96] - y - // * input[96:144] - commitment C - // Out of 192 bytes per blob. - blobPublicInputs = - abi.encodePacked(blobPublicInputs, _blobsInput[blobInputStart + 32:blobInputStart + 144]); - } - } } diff --git a/l1-contracts/test/fixtures/empty_block_1.json b/l1-contracts/test/fixtures/empty_block_1.json index f0db851aa352..69a4ac646f92 100644 --- a/l1-contracts/test/fixtures/empty_block_1.json +++ b/l1-contracts/test/fixtures/empty_block_1.json @@ -25,8 +25,9 @@ "l2ToL1Messages": [] }, "block": { - "archive": "0x1cb8af4798ed0056677247fd42b30e27f78c84a771a30eb34373b299da21c6d6", - "blobInputs": "0x01010657f37554c781402a22917dee2f75def7ab966d7b770905398eba3c4440140ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb0000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "archive": "0x22c4066e013ee12c4e9c599c9ceb3de851239295e3c0dfa5a25a9c6e69419c1b", + "blobCommitments": "0x01c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "batchedBlobInputs": "0x010657f37554c781402a22917dee2f75def7ab966d7b770905398eba3c4440140ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb0000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "blockNumber": 1, "body": "0x00000000", "decodedHeader": { @@ -38,16 +39,16 @@ "numTxs": 0 }, "slotNumber": "0x0000000000000000000000000000000000000000000000000000000000000029", - "timestamp": 1747162376, - "coinbase": "0xa2c2db99e9117560e8681c4758d984502475ed31", - "feeRecipient": "0x0c47cfb3f382551854b7b1928bbd27c539c85d92b2b875b5686539eec84c1b57", + "timestamp": 1747749884, + "coinbase": "0x0610759295fcc7f3cca7b05b0d9045362e3a1a3d", + "feeRecipient": "0x20ea5d85b31f45a87b24c0a7f19d4e4f544d40c13afd387b8ef857e92ccd8149", "gasFees": { "feePerDaGas": 0, - "feePerL2Gas": 55380 + "feePerL2Gas": 55370 }, "totalManaUsed": "0x0000000000000000000000000000000000000000000000000000000000000000" }, - "header": "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", + "header": "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", "numTxs": 0 } } \ No newline at end of file diff --git a/l1-contracts/test/fixtures/empty_block_2.json b/l1-contracts/test/fixtures/empty_block_2.json index 1df0fa454fd5..f32a6d85ea96 100644 --- a/l1-contracts/test/fixtures/empty_block_2.json +++ b/l1-contracts/test/fixtures/empty_block_2.json @@ -25,29 +25,30 @@ "l2ToL1Messages": [] }, "block": { - "archive": "0x1f165b25870a916f930d519739bf38f650e9238468065b6db11ff33823fb584f", - "blobInputs": "0x01010657f37554c781402a22917dee2f75def7ab966d7b770905398eba3c4440140ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb0000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "archive": "0x14d2d05e9937165d44e6bf9655aed67e8394e7abad8fc7f22a5306110a7a7851", + "blobCommitments": "0x01c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "batchedBlobInputs": "0x010657f37554c781402a22917dee2f75def7ab966d7b770905398eba3c44401416743433c1b3d551429cfbc09ab7899d4e14d2b5786a3243e29bc9c6c0d76bf10000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "blockNumber": 2, "body": "0x00000000", "decodedHeader": { - "lastArchiveRoot": "0x1cb8af4798ed0056677247fd42b30e27f78c84a771a30eb34373b299da21c6d6", + "lastArchiveRoot": "0x22c4066e013ee12c4e9c599c9ceb3de851239295e3c0dfa5a25a9c6e69419c1b", "contentCommitment": { "blobsHash": "0x001cedbd7ea5309ef9d1d159209835409bf41b6b1802597a52fa70cc82e934d9", - "inHash": "0x00e3c1a33b58c239649ea50665923a8555797c8cb824c97aacd50630767ba6a3", + "inHash": "0x00f23cf98c8ccc17366198350a879640eb86c05254cb11dd721e456ba55d5af2", "outHash": "0x0000000000000000000000000000000000000000000000000000000000000000", "numTxs": 0 }, "slotNumber": "0x0000000000000000000000000000000000000000000000000000000000000032", - "timestamp": 1747162592, - "coinbase": "0xa2c2db99e9117560e8681c4758d984502475ed31", - "feeRecipient": "0x0c47cfb3f382551854b7b1928bbd27c539c85d92b2b875b5686539eec84c1b57", + "timestamp": 1747750100, + "coinbase": "0x0610759295fcc7f3cca7b05b0d9045362e3a1a3d", + "feeRecipient": "0x20ea5d85b31f45a87b24c0a7f19d4e4f544d40c13afd387b8ef857e92ccd8149", "gasFees": { "feePerDaGas": 0, "feePerL2Gas": 4640 }, "totalManaUsed": "0x0000000000000000000000000000000000000000000000000000000000000000" }, - "header": "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", + "header": "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", "numTxs": 0 } } \ No newline at end of file diff --git a/l1-contracts/test/fixtures/mixed_block_1.json b/l1-contracts/test/fixtures/mixed_block_1.json index bcfdbf989d64..f593e0309b89 100644 --- a/l1-contracts/test/fixtures/mixed_block_1.json +++ b/l1-contracts/test/fixtures/mixed_block_1.json @@ -23,64 +23,65 @@ }, "messages": { "l2ToL1Messages": [ - "0x005860caa2d2b8155d2bf8f5549621471ca4fb51e953c64ef4845abfe60998e2", - "0x00d207bc18f0928fc52bd4f0174ecc592fdfd9cdf4dfc282896a5ee95adf58dd", - "0x0050e35cdaec062d7fdefcc6c0c18fdc8a811289800ef9db5b5e5f765ab1781d", - "0x00431abd026e5dac6ce36783ea014a6d80321b717749df2721d4e8fb7185be96", - "0x0024077694424433548f7d3a543938eda465af764f7fa1b065e8a4d5734946ac", - "0x00e38ee8589859f3d234afb783aae64240d3c28a6e31b27d53baaaca625fab3c", - "0x008c255c197b75165f6ac0209731c48c5417e04ec2cb2d02487e546544ec65f5", - "0x00473e6b16019fc126e0b36d4924931308969de7f3748e7402bc9af1933e29f1", - "0x00729302aa1a70a4a20b6599d3212f46b61aad2a5dde193943a2319b073a3607", - "0x008e49816f26ee0fdc1f504816896b9a965a4be867157e0acb760131d6c5a1d7", - "0x009a36528a17f4bf9aeda0e94a76421751a92e647175d5f52c8a398c4333e4d9", - "0x00cc0036017affc18d139bfda6d81de9633fda58779067888e1b7cc19ef5c3ac", - "0x00e08b96ca0a4aeafe68a167ed4764e11a49f92a0bbcece24f818e12764543ae", - 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b/l1-contracts/test/validator-selection/ValidatorSelection.t.sol @@ -429,7 +429,7 @@ contract ValidatorSelectionTest is ValidatorSelectionTestBase { emit log("Time to propose"); vm.prank(ree.proposer); - rollup.propose(args, attestations, full.block.blobInputs); + rollup.propose(args, attestations, full.block.blobCommitments); if (ree.shouldRevert) { return; @@ -446,7 +446,7 @@ contract ValidatorSelectionTest is ValidatorSelectionTestBase { ); ree.shouldRevert = true; } - rollup.propose(args, attestations, full.block.blobInputs); + rollup.propose(args, attestations, full.block.blobCommitments); } assertEq(_expectRevert, ree.shouldRevert, "Does not match revert expectation"); diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr index 0404ea28401a..edcb6f396339 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching.nr @@ -67,7 +67,7 @@ pub fn evaluate_blobs_and_batch( hashed_blobs_fields, final_blob_challenges.z, ); - // TODO(MW): If the evaluation being zero is sufficient to say the blob i is empty, remove the range check. + // TODO(#14646): If the evaluation being zero is sufficient to say the blob i is empty, remove the range check. // The range check exists because we cannot use c_i (it's injected and L1 relies on this circuit to check whether the blob is // empty for c_i = O) or z_i (z_i relies on the hashed_blobs_fields, which is the hash of the items in ALL block blobs, not just i). let is_empty_blob = sponge_blob.fields <= i * FIELDS_PER_BLOB; diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr index 4bb536db6b28..d350405e5c03 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/blob_batching_public_inputs.nr @@ -102,7 +102,7 @@ fn get_flags(point: BLSPoint) -> ([bool; 3], Q) { (flags, x) } -// TODO: Will be part of bigcurve's compression functionality +// TODO(MW): Will be part of bigcurve's compression functionality // Given [is_compressed, is_infinity, is_greater] and the point's most significant byte, returns that // byte with the flags set. fn set_flags(flags: [bool; 3], byte: u8) -> u8 { @@ -153,7 +153,7 @@ impl Empty for BlobAccumulationInputs { * - We encompass all the blob elements in challenges (z_i) unique to each blob by using the above H(input_elements) * and the blob's commitment (c_i). * -* TODO(MW): Compress F and Q values to reduce number of public inputs (BLOB_ACCUMULATOR_PUBLIC_INPUTS) +* TODO(#14646): Compress F and Q values to reduce number of public inputs (BLOB_ACCUMULATOR_PUBLIC_INPUTS) */ pub struct BlobAccumulatorPublicInputs { pub blob_commitments_hash_acc: Field, // Hash of Cs (to link to L1 blob hashes) (BN254Fr) diff --git a/noir-projects/noir-protocol-circuits/crates/blob/src/mock_blob_oracle.nr b/noir-projects/noir-protocol-circuits/crates/blob/src/mock_blob_oracle.nr index 85693f7caf3d..58c1be0d1363 100644 --- a/noir-projects/noir-protocol-circuits/crates/blob/src/mock_blob_oracle.nr +++ b/noir-projects/noir-protocol-circuits/crates/blob/src/mock_blob_oracle.nr @@ -1,25 +1,37 @@ -use crate::blob_public_inputs::{BlobCommitment, BlockBlobPublicInputs}; +use crate::blob_batching_public_inputs::{ + BlobAccumulatorPublicInputs, BLSPoint, FinalBlobBatchingChallenges, +}; use types::{ abis::sponge_blob::SpongeBlob, - constants::{BLOB_PUBLIC_INPUTS, BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, - traits::Deserialize, + constants::{BLOB_ACCUMULATOR_PUBLIC_INPUTS, BLOBS_PER_BLOCK, FIELDS_PER_BLOB}, + traits::{Deserialize, Serialize}, }; // TODO(#10323): this was added to save simulation time (~1min in ACVM, ~3mins in wasm -> 500ms). // The use of bignum adds a lot of unconstrained code which overloads limits when simulating. // If/when simulation times of unconstrained are improved, remove this. -pub unconstrained fn evaluate_blobs( +pub unconstrained fn evaluate_blobs_and_batch( blobs_as_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], - kzg_commitments: [BlobCommitment; BLOBS_PER_BLOCK], + kzg_commitments: [BLSPoint; BLOBS_PER_BLOCK], mut sponge_blob: SpongeBlob, -) -> BlockBlobPublicInputs { - let fields = evaluate_blobs_oracle(blobs_as_fields, kzg_commitments, sponge_blob); - BlockBlobPublicInputs::deserialize(fields) + final_blob_challenges: FinalBlobBatchingChallenges, + start_accumulator: BlobAccumulatorPublicInputs, +) -> BlobAccumulatorPublicInputs { + let fields = evaluate_blobs_oracle( + blobs_as_fields, + kzg_commitments, + sponge_blob, + final_blob_challenges, + start_accumulator.serialize(), // Serialize makes reading info easier in foreign_call_handler + ); + BlobAccumulatorPublicInputs::deserialize(fields) } #[oracle(evaluateBlobs)] unconstrained fn evaluate_blobs_oracle( blobs_as_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], - kzg_commitments: [BlobCommitment; BLOBS_PER_BLOCK], + kzg_commitments: [BLSPoint; BLOBS_PER_BLOCK], mut sponge_blob: SpongeBlob, -) -> [Field; BLOB_PUBLIC_INPUTS * BLOBS_PER_BLOCK] {} + final_blob_challenges: FinalBlobBatchingChallenges, + start_accumulator: [Field; BLOB_ACCUMULATOR_PUBLIC_INPUTS], +) -> [Field; BLOB_ACCUMULATOR_PUBLIC_INPUTS] {} diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml b/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml index 5f5b2d8ea018..2865789de28c 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml +++ b/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml @@ -2,7 +2,7 @@ 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"0x0000000000000000000000000000000000000000000000000000000000000006" sibling_path = [ - "0x00d17a0fc1e662721a4a2ac761a66eedd1c55520e769c42d4c9e394074564074", + "0x2a6157d8effaa56e71e1e1f6fff123bcc5c9075011bcd91ea75049fd33024188", "0x166d9200203972a67e495e091356eb547f3ad77502de0163b0eb32598c42137d", "0x290f67227ae4f2cc57a44bb6c9e2d654ca7396f5eefe47c0de2c3adc7240f81e", - "0x2da97ce22fde73b1c38ea81251e96f2e485ec709e7d3bf1fc778ec8c86838b5b", + "0x22c6cb052d42b1d387e0fd27c30832ea486495db0a2b470b26145ccc9df1c5a6", "0x284648238edcf362d74c8a007e5fc8a4fc20d36b07b2ee02ab2ff3662bed0ec2", "0x0b37739682b911e91d9ccf8d84210dcf05d84e233ba11fd19cb9ebeaa715d8f9" ] @@ -1563,10 +1563,10 @@ l1_to_l2_message_subtree_sibling_path = [ "0x21849764e1aa64b83a69e39d27eedaec2a8f97066e5ddb74634ffdb11388dd9a" ] previous_archive_sibling_path = [ - "0x1fce29b9f22e032fd99a117b05a2b70b55ec00113fc7b7d8441c7be00ccb19d4", - "0x19886a788f7a924a37eb30a66b20b9a91de83d5b037d52bf0664fe8b37004ffc", - 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"0x0e34ac2c09f45a503d2908bcb12f1cbae5fa4065759c88d501c097506a8b2290", - "0x29a8cf37e1854efca4a37e16c3539165d95ee7ab10b2215f179f1ba021ee7f4a", + "0x1b86f601c1abf3ed15ff67aaf2022216628afd869ac8a1205920f943ae4dfe59", "0x2373ea368857ec7af97e7b470d705848e2bf93ed7bef142a490f2119bcf82d8e", "0x120157cfaaa49ce3da30f8b47879114977c24b266d58b0ac18b325d878aafddf", "0x01c28fe1059ae0237b72334700697bdf465e03df03986fe05200cadeda66bd76", @@ -1629,9 +1629,9 @@ prover_id = "0x0000000000000000000000003c44cdddb6a900fa2b585dd299e03d12fa4293bc" [inputs.data.l1_to_l2_roots] vk_path = [ "0x037ff6f5a0bbb8ae28ac3ae63579d7c7786cdc7f7bdc64868b5aab1479f542f7", - "0x01fc44cd352177cd11426eae09af8e446039c08c0ffb3c29cf37510774a714f2", - "0x13b7e4bb23431a642a6f4d6c72ba975928371c0489017d45e4d18f9c12207cea", - "0x2423b4c1180714c94b2f31100021a5393dafaad3951ed4862ecb6ca8f2a5f798", + "0x29bd5901e5b4f7bde1efb5271a4a33048f6adbca12c76d6c1f95c1a59830cc96", + "0x1531e245be9fc39e0bdfbe149a6089f8615b86fbace408368197180438730202", + "0x09ecb7bbeef3ed164ac9bdefeaa1551414a28986e1d25698356c3696b31b2b4a", "0x284648238edcf362d74c8a007e5fc8a4fc20d36b07b2ee02ab2ff3662bed0ec2", "0x0b37739682b911e91d9ccf8d84210dcf05d84e233ba11fd19cb9ebeaa715d8f9" ] @@ -2216,149 +2216,197 @@ prover_id = "0x0000000000000000000000003c44cdddb6a900fa2b585dd299e03d12fa4293bc" [inputs.data.l1_to_l2_roots.public_inputs] sha_root = "0x00089a9d421a82c4a25f7acbebe69e638d5b064fa8a60e018793dcb0be53752c" converted_root = "0x2373ea368857ec7af97e7b470d705848e2bf93ed7bef142a490f2119bcf82d8e" - vk_tree_root = "0x20af990958e8575ae0f803c8a491a00c3734fc1df32d7aee2f29d13a0f14e157" + vk_tree_root = "0x16e00802cd510c69cab77438b8f92c7fc6c1f77e983b2302bcb3e85e15c95eac" [inputs.data.previous_block_header] - total_fees = "0x00000000000000000000000000000000000000000000000000000000264b8e00" + total_fees = "0x0000000000000000000000000000000000000000000000000000000003678600" total_mana_used = "0x0000000000000000000000000000000000000000000000000000000000003780" [inputs.data.previous_block_header.last_archive] - root = "0x28b736e155feabaa3f1c86694f8195828dc14d5b8480eb2ac41410a8874ea241" - next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000007" + root = "0x2a3fbfdd7f5fb12e887eacaae0108766b0a9d928b58504857dcebe633fc7ec6d" + next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000009" [inputs.data.previous_block_header.content_commitment] num_txs = "0x0000000000000000000000000000000000000000000000000000000000000001" - blobs_hash = "0x00b8ff774b2b3dc4ea855ebcd0a539d3985b4e0b9216b64018efcab7b6ee0933" + blobs_hash = "0x00e8d48f36c920c6614610817c0a85f2768252fcc9158df608e1f9f449d40619" in_hash = "0x00089a9d421a82c4a25f7acbebe69e638d5b064fa8a60e018793dcb0be53752c" out_hash = "0x0000000000000000000000000000000000000000000000000000000000000000" [inputs.data.previous_block_header.state.l1_to_l2_message_tree] root = "0x2e33ee2008411c04b99c24b313513d097a0d21a5040b6193d1f978b8226892d6" -next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000070" +next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000090" [inputs.data.previous_block_header.state.partial.note_hash_tree] -root = "0x24bf8345dcf10341c55c076c8965595eebbf083a6d0060cf37145d4d09d2784f" -next_available_leaf_index = "0x00000000000000000000000000000000000000000000000000000000000001c0" +root = "0x2e672d8540befd6950f57c00c96fa2eeae2cc660bca82c385ecda244d78adb75" +next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000240" [inputs.data.previous_block_header.state.partial.nullifier_tree] -root = "0x2c8c7f37cca131a4ed8264aa1bbb7a5b67233928f324db999cb95704eb2b8b06" -next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000240" +root = "0x158f22c4b2d602cb6791f50969ef5fb2da0c3b3de5d1f501994781f5af4124c0" +next_available_leaf_index = "0x00000000000000000000000000000000000000000000000000000000000002c0" [inputs.data.previous_block_header.state.partial.public_data_tree] -root = "0x26408377b0aff97f1ef5d901dd6c0cfacec1cf2fa6ed570cdf08ff99e08d6af0" +root = "0x2437da91bd0b0dd21f02e725239664f77bf20c6740193536a0f890ea58c2abd5" next_available_leaf_index = "0x000000000000000000000000000000000000000000000000000000000000008e" [inputs.data.previous_block_header.global_variables] chain_id = "0x0000000000000000000000000000000000000000000000000000000000007a69" - version = "0x0000000000000000000000000000000000000000000000000000000007b6e981" - block_number = "0x0000000000000000000000000000000000000000000000000000000000000007" - slot_number = "0x0000000000000000000000000000000000000000000000000000000000000021" - timestamp = "0x00000000000000000000000000000000000000000000000000000000683091d2" + version = "0x000000000000000000000000000000000000000000000000000000002d66bdd9" + block_number = "0x0000000000000000000000000000000000000000000000000000000000000009" + slot_number = "0x0000000000000000000000000000000000000000000000000000000000000042" + timestamp = "0x00000000000000000000000000000000000000000000000000000000683db8e3" [inputs.data.previous_block_header.global_variables.coinbase] - inner = "0x00000000000000000000000025b14b9a1dc950bcac555789cc8a0d1ea5edfb06" + inner = "0x0000000000000000000000001e12c3c9389ae0c796c6844a5510c60236b561e1" [inputs.data.previous_block_header.global_variables.fee_recipient] inner = "0x0000000000000000000000000000000000000000000000000000000000000000" [inputs.data.previous_block_header.global_variables.gas_fees] fee_per_da_gas = "0x0000000000000000000000000000000000000000000000000000000000000000" - fee_per_l2_gas = "0x000000000000000000000000000000000000000000000000000000000000b0a4" + fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000fb4" + + [inputs.data.start_blob_accumulator] + blob_commitments_hash_acc = "0x00187829a9ce563ef3b09676aab68d45ff788b4ebcaf50d8537dc8a60bff16d5" + z_acc = "0x037c91f7c20cd129e530d7394a5b13712490b6519ce3146eefb6142707d1feed" + gamma_acc = "0x2c165f80e26ef0e01d0df74c3ae4a6d8d7041fbea2d441ebcb6f8572f7135b8e" + + [inputs.data.start_blob_accumulator.y_acc] + limbs = [ + "0xf6faa1e454907bcf639fbf08893c9a", + "0x646a3a370a047c531df74f8938396d", + "0x11bf" +] + + [inputs.data.start_blob_accumulator.c_acc] + is_infinity = false + + [inputs.data.start_blob_accumulator.c_acc.x] + limbs = [ + "0x891544dcb6a857d6a29f469e0c1dfb", + "0xa733e1be542137fb2c91536493ac1f", + "0xafb101fff9677977445d144daeb7f5", + "0x175f99" +] + + [inputs.data.start_blob_accumulator.c_acc.y] + limbs = [ + "0x17bde297bf99f1e5e4a791acb171c6", + "0xbe33c99c2faf15f2d76e90595e59fe", + "0xa0dfda2abded52ad4053f7b0e493b9", + "0x097585" +] + + [inputs.data.start_blob_accumulator.gamma_pow_acc] + limbs = [ + "0x8a8177d338419dc69e0c4443523d53", + "0xa5a4866d897a9d97c855f70a6887af", + "0x1e98" +] + + [inputs.data.final_blob_challenges] + z = "0x0cc935911cd6e85cd04a92e9140e34d4c8a576c5f9f85959dd30706c7021f4ac" + + [inputs.data.final_blob_challenges.gamma] + limbs = [ + "0x8a8177d338419dc69e0c4443523d53", + "0xa5a4866d897a9d97c855f70a6887af", + "0x1e98" +] [inputs.blob_data] blobs_fields = [ "0x000000000000000000000000000000000074785f737461727400000a00010000", - "0x03d5f52cf7271e66ad43135933d439f6249bc867f4051b021be8fef3436a17b5", - "0x000200000000000000000000000000000000000000000000000000005816a8e8", + "0x1a2fcc63d3095052d06cbf5b2159a1f3ee68c037ee56ba9909410a57cf1cb695", + "0x0002000000000000000000000000000000000000000000000000000007cd2e0c", "0x0000000000000000000000000000000000000000000000000000000004000001", - "0x1fb0267f7cecfb1743c8343e4b6ff274bca4473d2895adc6aadc640871022f8c", + "0x2d0e695a54902cf7d0db4c57f3b1b03b9121e984f1f3f7a07250e5124b4d1814", "0x0000000000000000000000000000000000000000000000000000000006000002", - 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"0x00d729ae6f73ec58fce27af7e0b8e736489a164b05226cc4220726c7a6535cbf", + "0x0c93a193b482f51a4e1b82519b1703bd8d3372d0aeedd172703819bb160f021b", + "0x178a216a5f32799976f44f55cd934203ec20d14aac7cef1a2ef876a1327d5643", + "0x0001ff49141fee256f3b015ae7d22a6d3213cbcf9d4084dede89b2d17117290d", + "0x006a52f271217093ca391923985278d5861fc5039aa92455f5da612b9aaea1b9", + "0x00f44488424ae1832902377e6772e365cf8a1d3636a527762cf9f1155eee7418", + "0x0008ac590da201561dd7d7728d12226acef2f992e832e22d9e5e34dba328ac5c", + "0x00c2076b46a26fd191911b3a3331234fdd884ed92dae18fe156a2d89102e3a77", + "0x006910ae9671c5771f9bc32d7b74235c0a7232a567b78d80b9ce48575fd5a89b", + "0x009f96d5c64f7304052ec5af2e3c92c3c423e8b33b6f7c2b9d68beeaee87d5cb", + "0x001114c6b38e15ffea014e1a528a0a06f80a2aa57f95b89692da0fe8566aafb9", + "0x005621fac0416808a103559eb71b27b653a829e62874406fb05cc4931fedeb38", + "0x00a6de1d26108ab8a8f9dbe8d5a367975e7a42f7832da98ff78fc72e7db21cf0", + "0x0026255a4eee9e186e11d9f3c18d7fd78c76b5239afc38c361b02e04dd29a3ca", + "0x00eeab6c33408ee0c63c8b4e323abdc60cd0fc8bbbe38cb31220fe07de789d74", + "0x00fb666e2722aaa755c4a589f601c7cca082b9fba293dee14a72e2127f9509c3", + "0x003ac37472b6a31c91c34795b8a2bc65e4af4562348b8da18c8294cba7d2fdcb", + "0x0092dd1f647821d9564a00ddf637d672cf8b2c2eb4d92838f2c1e787cdb822f4", + "0x0090462f4ccec365669a58d25dbcf344c29f12e08c0dc5356458336c91f30d52", "0x0000000000000000000000000000000000000000000000000000000000000012", - "0x0d10936c8788317d7391fdad75406109e5887f1a38dbfbbfcca3a3bfb87d3027", - "0x0c0446fa15e0b0ff40f046650950a08cd618a32e44e8e0e719e9210989f51645", - "0x0000a5bea6790a102122eb648a21e6fe46adaf18fdaceffa2d8bf96d5cf3f694", - "0x00930a68d82dc054f2da08028da32514e4aeb3535a322c7b3d9e2c45e786f773", - "0x00c10389c2023f4bec5a0c9e7d1557c66802018a79e1cdc859aec6e2a536a6a1", - "0x004b3f37b47573a42de7df578a276b810a1bdf2cd836bebfcb8d6ef9a1583c06", - "0x00d1a31cabd856fc9279d603324dc6090d0c8277d94268615c4df9954768c9a3", - "0x0091531fb0a0e2965aaafe463e1ccd026a327f812764b42d6eab709839a849d2", - "0x00442a12717e1dd67648123163730e7a9f4a2f194153ab565427529b4e9ba03d", - "0x006efc4b6f409c0661b200ed9c3f2f3976c803f1af1a28539ea5c2c1cac11ba9", - "0x00015c36d0daef25dfc334a37bcf164e4f3bb6360262d7cf3766457be6acdf61", - "0x00cc4a38560a4557ec1a86e5312ec542bf33fb32e12fde0f1398591619e6d263", - "0x009793a07e2b70567195734d426c7a6152ebf4e272116c96cff6f263957a0bcf", - "0x0087a9384623f22e683cdb825c87cb46826dec1c9a0adf9dbb9e56ced5b7e394", - "0x0095eff9c5a4d42d8701183e6274fec63935d0367486af8701e228b8d8034b36", - "0x00c17d071cc36e4bd1b1bb60c09c94f7e75c742555834cd504c4c788e94e5ee3", - "0x000252a9d085d1ca029766170540a8555260a67f0d45dba78653cfbf33312fc3", - "0x000eb248c0c987c2eafffc3ef8e5f9a35a20270a3d7c3f360b7dda3ea322d400", + "0x17e282fd5fe9a5670c4dc1e75241fcb053a3fc84676fa21f8265b00b29bac73f", + "0x038a902d6d2499990d1b823f6ea8f9ac1a374fae91f0e37fda5e87732102f1b0", + "0x0000b7cb6a4a76e8911fb895f96f91cfe2bc21938cb2dcf51447ec439b4af437", + "0x00ecb86624146ccf37d63baf7610ee231ccfb2412f624db74a59d34688b9f4b8", + "0x004e1b2742f7f16462515cf8dae513665385c8d5548e8de6ae7507ec25de650d", + "0x00561f893b47f4421af6d59f395be5152ca37851d1a9ad5884b622e42d86d4b9", + "0x003f599501648b1f9b4226d7229f9eec745abb7c53890a3e75a59443514df1cf", + "0x005bc4c5e7167e16d0f273f660fb1176d0e30436d5e76ae5c58b3ebeab681003", + "0x008712e49f94c9336356de1000fe6d73718486fd48e2f73080e0b6ff47ea22f2", + "0x0019dffc965c29d71cd2a380c8a1ebcec9f9b2568203d0e4c978e4088079cd42", + "0x000f33afc9cc28c3b5f1525cf7f603bcbdcfdbb769ec73f28eaeaf31201b8380", + "0x00dddad3aacd31baa55632ec76dbdb1245b208a31f042ec491cfca2212a19913", + "0x00a5e9dc4fa1ced2807e3bff1470f483b700b079ff02bf908d8c7fce196929a7", + "0x006ad3e937f66b4c15b30e7c456d4be35cdf5688ca6c9788022cdd41689880d4", + "0x00eb18fa7c652465f881b05cc6a03ba10b0710a551c22769aa3610ea7aad00d8", + "0x00dae84df957dff182505aaf5d1df54a3543a14d234ab451bef6b0fe6432290c", + "0x009cf849ca69201c2ca9b8605504c36dc3a1c45433f5f311e12280aaf3b7da70", + "0x00b834936d300578521492a676c51d67b772894e5acf89072401fe37ee788058", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000", @@ -14556,22 +14604,61 @@ blobs_fields = [ "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000" ] -blobs_hash = "0x006a77f58a86b74317fe99d3c35fba0bbb0cbe1e405830754750fca2b7884c3b" +blobs_hash = "0x00cde9c9bcf499abf3d60409506a8ee9c2599d9c3a6f4ebfd3e9de9f83f78702" [[inputs.blob_data.blob_commitments]] - inner = [ - "0x0099bcb173412b6d8adc18acdbcbfd9800ab892684746035bc1426805666c1cf", - "0x000000000000000000000000000000dcffbdf11d95b04de30b2104c0d2172132" + is_infinity = false + + [inputs.blob_data.blob_commitments.x] + limbs = [ + "0xe3f03705b5bd9e3170d6e4ba597c79", + "0x3059e84ca86017f5c18df26a51f5b6", + "0x0e7bc7b62fd5b97c86af539a1f2dbd", + "0x1807f8" +] + + [inputs.blob_data.blob_commitments.y] + limbs = [ + "0x789ca5c776f4286b473dbc03afad64", + "0x1350a06463530709dcc6ee10d4b6a3", + "0xd553e85d960da165f67ced184b8635", + "0x17b7e7" ] [[inputs.blob_data.blob_commitments]] - inner = [ - "0x0000000000000000000000000000000000000000000000000000000000000000", - "0x0000000000000000000000000000000000000000000000000000000000000000" + is_infinity = true + + [inputs.blob_data.blob_commitments.x] + limbs = [ + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000" +] + + [inputs.blob_data.blob_commitments.y] + limbs = [ + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000" ] [[inputs.blob_data.blob_commitments]] - inner = [ - "0x0000000000000000000000000000000000000000000000000000000000000000", - "0x0000000000000000000000000000000000000000000000000000000000000000" + is_infinity = true + + [inputs.blob_data.blob_commitments.x] + limbs = [ + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000" +] + + [inputs.blob_data.blob_commitments.y] + limbs = [ + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000000000000000000000000000", + "0x000000" ] diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr index 594c40c65081..4cfcaa782722 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/abis/block_root_rollup_data.nr @@ -46,8 +46,8 @@ pub struct BlockRootRollupBlobData { pub blobs_fields: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK], // see blob/src/blob.nr -> evaluate_blob() - these are used for creating each blob's challenge z_i pub blob_commitments: [BLSPoint; BLOBS_PER_BLOCK], - // Flat sha256 hash of the EVM blob hashes, can be injected here as the contract checks its validity vs the blob_public_inputs + // Flat sha256 hash of the EVM blob hashes, can be injected here as the contract checks its validity + // Only exists so we have a link between EVM blob hashes and the block header for users to check // NB: to fit it into a field, we truncate to 31 bytes - // TODO(MW): Replace with v? pub blobs_hash: Field, } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr index c2dc585999a1..15c62e948dab 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_merge/block_merge_rollup_inputs.nr @@ -55,19 +55,17 @@ impl BlockMergeRollupInputs { let fees = components::accumulate_blocks_fees(left, right); + // Note: for blob batching, in assert_prev_block_rollups_follow_on_from_each_other we have checked: + // - left.end_blob_accumulator == right.start_blob_accumulator + // - left.challenge_z == right.challenge_z + // - left.challenge_gamma == right.challenge_gamma + let blob_public_inputs = BlockBlobPublicInputs { start_blob_accumulator: left.blob_public_inputs.start_blob_accumulator, end_blob_accumulator: right.blob_public_inputs.end_blob_accumulator, final_blob_challenges: left.blob_public_inputs.final_blob_challenges, }; - // TODO(MW): Batching here will consist of checks: - // - left.end_blob_accumulator == right.start_blob_accumulator - // - left.challenge_z == right.challenge_z - // - left.challenge_gamma == right.challenge_gamma - // (^should probably exist in assert_prev_block_rollups_follow_on_from_each_other()) - // then assigning this.start_blob_accumulator = left.start_blob_accumulator & this.end_blob_accumulator = right.end_blob_accumulator - BlockRootOrBlockMergePublicInputs { previous_archive: left.previous_archive, new_archive: right.new_archive, diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr index c02a1900f3e9..dca966092ba3 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr @@ -211,7 +211,9 @@ pub(crate) mod tests { // All hardcoded values in this test are taken from yarn-project/foundation/src/blob/blob_batching.test.ts -> 'should construct and verify a batch of 3 full blobs' // These values are also used in blob_batching.nr -> test_full_blobs_batched(), but the below ensures inputs are propagated properly throughout block_root #[test] - unconstrained fn correct_blobs_with_non_empty_fields() { + fn correct_blobs_with_non_empty_fields() { + // Note: this test will not run in unconstrained, because it reaches the foreign call + // TODO(#10323): remove the oracle and switch this test to unconstrained // Fill three blobs completely with different values (to avoid a constant polynomial) let mut blob: [Field; FIELDS_PER_BLOB * BLOBS_PER_BLOCK] = [0; FIELDS_PER_BLOB * BLOBS_PER_BLOCK]; diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr index 41e861b13990..6cbbbbe8ec09 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/components/block_root_rollup_output_composer.nr @@ -235,29 +235,25 @@ impl BlockRootRollupOutputComposer { self, data: BlockRootRollupBlobData, ) -> BlobAccumulatorPublicInputs { - evaluate_blobs_and_batch( - data.blobs_fields, - data.blob_commitments, - self.merged_rollup.end_sponge_blob, - self.data.final_blob_challenges, - self.data.start_blob_accumulator, - ) - // TODO(MW): Remove below once simulation of above is tested - // if !dep::std::runtime::is_unconstrained() { - // evaluate_blobs( - // data.blobs_fields, - // data.blob_commitments, - // self.merged_rollup.end_sponge_blob, - // ) - // } else { - // // Safety: TODO(#10323): this was added to save simulation time, if/when simulation times of unconstrained are improved, remove this. - // unsafe { - // blob::mock_blob_oracle::evaluate_blobs( - // data.blobs_fields, - // data.blob_commitments, - // self.merged_rollup.end_sponge_blob, - // ) - // } - // } + if !dep::std::runtime::is_unconstrained() { + evaluate_blobs_and_batch( + data.blobs_fields, + data.blob_commitments, + self.merged_rollup.end_sponge_blob, + self.data.final_blob_challenges, + self.data.start_blob_accumulator, + ) + } else { + // Safety: TODO(#10323): this was added to save simulation time, if/when simulation times of unconstrained are improved, remove this. + unsafe { + blob::mock_blob_oracle::evaluate_blobs_and_batch( + data.blobs_fields, + data.blob_commitments, + self.merged_rollup.end_sponge_blob, + self.data.final_blob_challenges, + self.data.start_blob_accumulator, + ) + } + } } } diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr index f957ca3f37dd..9b67219585f1 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr +++ b/noir-projects/noir-protocol-circuits/crates/rollup-lib/src/root/root_rollup_inputs.nr @@ -66,23 +66,22 @@ impl RootRollupInputs { let fees = components::accumulate_blocks_fees(left, right); + // Note: for blob batching, in assert_prev_block_rollups_follow_on_from_each_other we have checked: + // - left.end_blob_accumulator == right.start_blob_accumulator + // - left.challenge_z == right.challenge_z + // - left.challenge_gamma == right.challenge_gamma + // Below we check: + // - first (left.start_blob_accumulator) acc is empty + // Finally, we call finalize_and_validate() on the end_blob_accumulator which calculates final_gamma and checks: + // - end_blob_accumulator.z == injected.challenge_z + // - final_gamma == injected.challenge_gamma + // => Validated public inputs from acc are: FinalBlobAccumulatorPublicInputs { blob_commitments_hash, z, y, C } (gamma is not required) + assert( is_empty(left.blob_public_inputs.start_blob_accumulator), "Epoch did not start with empty blob state.", ); - // TODO(MW): Batching here will consist of checks: - // - left.end_blob_accumulator == right.start_blob_accumulator - // - left.challenge_z == right.challenge_z - // - left.challenge_gamma == right.challenge_gamma - // (^should probably exist in assert_prev_block_rollups_follow_on_from_each_other()) - // Then: - // - Validate first (left.start_blob_accumulator) acc is empty - // - final_acc := right.end_blob_accumulator.finalize() - // - Validate final_acc.z = challenge_z - // - Validate final_acc.gamma = challenge_gamma - // => Validated public inputs from acc are: { v, z, y, C } (gamma is not required) - RootRollupPublicInputs { previous_archive_root: left.previous_archive.root, end_archive_root: right.new_archive.root, diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml b/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml index 44c5014bccd6..ec1b4f70adae 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml +++ b/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml @@ -5,8 +5,8 @@ prover_id = "0x0000000000000000000000003c44cdddb6a900fa2b585dd299e03d12fa4293bc" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs] out_hash = "0x0000000000000000000000000000000000000000000000000000000000000000" proposed_block_header_hashes = [ - "0x00417d2c7feabdeebc7973fbac74d5d3595d471047b51521c840854320d9dd79", - "0x009b4f347b7e89fe6e631bc1ced1536c52e1cdf08c8f4b15a40aa7dfcaceac84", + "0x007e2bd914a7399b58061b737d14134d716fe0074a4607bc8a2f58f56dd59a43", + 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"0x000000000000000000000000000000034b46ea26c1ff481588aa7a1d4cac1c41", + "0x0000000000000000000000000000000000160c646b20c81008eae87ef9572e9c", + "0x000000000000000000000000000000c99e19d3d7a5219ef57b6c2249dd88da8c", + "0x000000000000000000000000000000000022ed6806d8b1ee8752a4392ead3e23", + "0x000000000000000000000000000000d92c32591db729a56e147b3f85cff36c4f", + "0x00000000000000000000000000000000002337bd80484bec634ae68e617c5fdd", "0x0000000000000000000000000000000000000000000000000000000000000001", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000002", "0x0000000000000000000000000000000000000000000000000000000000000000", - "0x0000000000000000000000000000005236fa8ff132f028ce8c6d90af92bb0920", - "0x0000000000000000000000000000000000157e930e43a7f58b4b9eba8d572f02", - "0x000000000000000000000000000000bac5296ced6a03e6e1c5d0f93b088c6e1e", - "0x000000000000000000000000000000000012ea2ef5078f64b57312aaa9298900" + "0x00000000000000000000000000000007893584bdb13a5ff6da88d46466464919", + "0x00000000000000000000000000000000000dbbeac96b08cd059911750dfcd49a", + "0x000000000000000000000000000000f76b36a325c2cb56c17244a35967ae3685", + "0x000000000000000000000000000000000028807e041559ba384e4ccd4cf81e77" ] - hash = "0x2d786dfd9d238706c365ed55568e4ad97c9181c8ab8954826bb255e59505ab48" + hash = "0x11e1558e801cd19ddde9b764222e036bfaf9689c223bec8522e2434a4816cb09" diff --git a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr index 343069a144e7..cfe7fa4116ca 100644 --- a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr +++ b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr @@ -227,10 +227,10 @@ pub global GLOBAL_VARIABLES_LENGTH: u32 = 7 + GAS_FEES_LENGTH; pub global APPEND_ONLY_TREE_SNAPSHOT_LENGTH: u32 = 2; pub global APPEND_ONLY_TREE_SNAPSHOT_LENGTH_BYTES: u32 = 36; pub global SPONGE_BLOB_LENGTH: u32 = 11; -pub global BLS12_FR_LIMBS: u32 = 3; // TODO(MW): get this from bignum -pub global BLS12_FQ_LIMBS: u32 = 4; // TODO(MW): get this from bignum -pub global BLS12_POINT: u32 = 2 * BLS12_FQ_LIMBS + 1; // TODO(MW): reduce num fields needed here but avoid breaking recursion -pub global BLS12_POINT_COMPRESSED_BYTES: u32 = 48; // TODO(MW): get this from bignum +pub global BLS12_FR_LIMBS: u32 = 3; // TODO(#14646): get this from bignum +pub global BLS12_FQ_LIMBS: u32 = 4; // TODO(#14646): get this from bignum +pub global BLS12_POINT: u32 = 2 * BLS12_FQ_LIMBS + 1; // TODO(#14646): reduce num fields needed here? +pub global BLS12_POINT_COMPRESSED_BYTES: u32 = 48; // TODO(#14646): get this from bignum pub global BLOB_ACCUMULATOR_PUBLIC_INPUTS: u32 = 3 /* v_acc, z_acc, and gamma_acc */ + 2 * BLS12_FR_LIMBS /* y_acc and gamma^i */ + BLS12_POINT /* c_acc */; @@ -242,7 +242,6 @@ pub global BLOCK_BLOB_PUBLIC_INPUTS: u32 = 2 * BLOB_ACCUMULATOR_PUBLIC_INPUTS /* + 1 /* z */ + BLS12_FR_LIMBS /* gamma */; pub global BLOB_PUBLIC_INPUTS: u32 = 6; -pub global BLOB_PUBLIC_INPUTS_BYTES: u32 = 112; // = commitment (48) + z (32) + y (32) pub global L1_TO_L2_MESSAGE_LENGTH: u32 = 6; pub global L2_TO_L1_MESSAGE_LENGTH: u32 = 3; pub global SCOPED_L2_TO_L1_MESSAGE_LENGTH: u32 = L2_TO_L1_MESSAGE_LENGTH + 1; diff --git a/yarn-project/blob-lib/src/blob.ts b/yarn-project/blob-lib/src/blob.ts index 5ce86db0f6e9..5643b5f2d491 100644 --- a/yarn-project/blob-lib/src/blob.ts +++ b/yarn-project/blob-lib/src/blob.ts @@ -301,6 +301,18 @@ export class Blob { return `0x${buf.toString('hex')}`; } + static getPrefixedEthBlobCommitments(blobs: Blob[]): `0x${string}` { + let buf = Buffer.alloc(0); + blobs.forEach(blob => { + buf = Buffer.concat([buf, blob.commitment]); + }); + // For multiple blobs, we prefix the number of blobs: + const lenBuf = Buffer.alloc(1); + lenBuf.writeUint8(blobs.length); + buf = Buffer.concat([lenBuf, buf]); + return `0x${buf.toString('hex')}`; + } + static getViemKzgInstance() { return { blobToKzgCommitment: cKzg.blobToKzgCommitment, diff --git a/yarn-project/blob-lib/src/blob_batching.ts b/yarn-project/blob-lib/src/blob_batching.ts index 89bd896559df..2370b1b92fbb 100644 --- a/yarn-project/blob-lib/src/blob_batching.ts +++ b/yarn-project/blob-lib/src/blob_batching.ts @@ -7,6 +7,7 @@ import { BufferReader, serializeToBuffer } from '@aztec/foundation/serialize'; import cKzg from 'c-kzg'; import { Blob, VERSIONED_HASH_VERSION_KZG } from './blob.js'; +import { BlobAccumulatorPublicInputs, FinalBlobAccumulatorPublicInputs } from './blob_batching_public_inputs.js'; const { computeKzgProof, verifyKzgProof } = cKzg; @@ -335,6 +336,30 @@ export class BatchedBlobAccumulator { return new BatchedBlob(this.blobCommitmentsHashAcc, this.zAcc, this.yAcc, this.cAcc, this.qAcc); } + /** + * Converts to a struct for the public inputs of our rollup circuits. + * @returns A BlobAccumulatorPublicInputs instance. + */ + toBlobAccumulatorPublicInputs() { + return new BlobAccumulatorPublicInputs( + this.blobCommitmentsHashAcc, + this.zAcc, + this.yAcc, + this.cAcc, + this.gammaAcc, + this.gammaPow, + ); + } + + /** + * Converts to a struct for the public inputs of our root rollup circuit. + * Warning: MUST be final accumulator state. + * @returns A FinalBlobAccumulatorPublicInputs instance. + */ + toFinalBlobAccumulatorPublicInputs() { + return new FinalBlobAccumulatorPublicInputs(this.blobCommitmentsHashAcc, this.zAcc, this.yAcc, this.cAcc); + } + isEmptyState() { return ( this.blobCommitmentsHashAcc.isZero() && diff --git a/yarn-project/blob-lib/src/blob_batching_public_inputs.test.ts b/yarn-project/blob-lib/src/blob_batching_public_inputs.test.ts new file mode 100644 index 000000000000..61e9bd8972e2 --- /dev/null +++ b/yarn-project/blob-lib/src/blob_batching_public_inputs.test.ts @@ -0,0 +1,94 @@ +import { BLOBS_PER_BLOCK, BLOB_ACCUMULATOR_PUBLIC_INPUTS } from '@aztec/constants'; +import { timesParallel } from '@aztec/foundation/collection'; +import { randomInt } from '@aztec/foundation/crypto'; +import { Fr } from '@aztec/foundation/fields'; + +import cKzg from 'c-kzg'; + +import { Blob } from './blob.js'; +import { BatchedBlob } from './blob_batching.js'; +import { + BlobAccumulatorPublicInputs, + BlockBlobPublicInputs, + FinalBlobAccumulatorPublicInputs, +} from './blob_batching_public_inputs.js'; +import { makeBatchedBlobAccumulator, makeBlockBlobPublicInputs } from './testing.js'; + +try { + cKzg.loadTrustedSetup(); +} catch (error: any) { + if (error.message.includes('trusted setup is already loaded')) { + // NB: The c-kzg lib has no way of checking whether the setup is loaded or not, + // and it throws an error if it's already loaded, even though nothing is wrong. + // This is a rudimentary way of ensuring we load the trusted setup if we need it. + } else { + throw new Error(error); + } +} + +describe('BlockBlobPublicInputs', () => { + let blobPI: BlockBlobPublicInputs; + + beforeAll(() => { + blobPI = makeBlockBlobPublicInputs(randomInt(1000)); + }); + + it('serializes to buffer and deserializes it back', () => { + const buffer = blobPI.toBuffer(); + const res = BlockBlobPublicInputs.fromBuffer(buffer); + expect(res).toEqual(blobPI); + }); + + it('converts correctly from Blob class', async () => { + const blobs = await timesParallel(BLOBS_PER_BLOCK, i => Blob.fromFields(Array(400).fill(new Fr(i + 1)))); + const startBlobAccumulator = makeBatchedBlobAccumulator(randomInt(1000)); + const converted = await BlockBlobPublicInputs.fromBlobs(startBlobAccumulator, blobs); + const expectedEndBlobAccumulator = await startBlobAccumulator.accumulateBlobs(blobs); + expect(converted.endBlobAccumulator).toEqual(expectedEndBlobAccumulator.toBlobAccumulatorPublicInputs()); + }); +}); + +describe('BlobAccumulatorPublicInputs', () => { + let blobPI: BlobAccumulatorPublicInputs; + + beforeAll(() => { + blobPI = makeBatchedBlobAccumulator(randomInt(1000)).toBlobAccumulatorPublicInputs(); + }); + + it('serializes to buffer and deserializes it back', () => { + const buffer = blobPI.toBuffer(); + const res = BlobAccumulatorPublicInputs.fromBuffer(buffer); + expect(res.equals(blobPI)).toBeTruthy(); + }); + + it('serializes to fields and deserializes it back', () => { + const fields = blobPI.toFields(); + expect(fields.length).toEqual(BLOB_ACCUMULATOR_PUBLIC_INPUTS); + const res = BlobAccumulatorPublicInputs.fromFields(fields); + expect(res.equals(blobPI)).toBeTruthy(); + }); +}); + +describe('FinalBlobAccumulatorPublicInputs', () => { + let blobPI: FinalBlobAccumulatorPublicInputs; + + beforeAll(() => { + blobPI = makeBatchedBlobAccumulator(randomInt(1000)).toFinalBlobAccumulatorPublicInputs(); + }); + + it('serializes to buffer and deserializes it back', () => { + const buffer = blobPI.toBuffer(); + const res = FinalBlobAccumulatorPublicInputs.fromBuffer(buffer); + expect(res).toEqual(blobPI); + }); + + it('converts correctly from BatchedBlob class', async () => { + const blobs = await timesParallel(BLOBS_PER_BLOCK, i => Blob.fromFields(Array(400).fill(new Fr(i + 1)))); + const batched = await BatchedBlob.batch(blobs); + const converted = FinalBlobAccumulatorPublicInputs.fromBatchedBlob(batched); + expect(converted.blobCommitmentsHash).toEqual(batched.blobCommitmentsHash); + expect(converted.z).toEqual(batched.z); + expect(converted.y).toEqual(batched.y); + expect(converted.c).toEqual(batched.commitment); + }); +}); diff --git a/yarn-project/blob-lib/src/blob_batching_public_inputs.ts b/yarn-project/blob-lib/src/blob_batching_public_inputs.ts new file mode 100644 index 000000000000..4998af4d3a31 --- /dev/null +++ b/yarn-project/blob-lib/src/blob_batching_public_inputs.ts @@ -0,0 +1,241 @@ +import { BLS12_FQ_LIMBS, BLS12_FR_LIMBS } from '@aztec/constants'; +import { BLS12Fq, BLS12Fr, BLS12Point, Fr } from '@aztec/foundation/fields'; +import { BufferReader, FieldReader, serializeToBuffer } from '@aztec/foundation/serialize'; + +import { inspect } from 'util'; + +import { Blob } from './blob.js'; +import { BatchedBlob, BatchedBlobAccumulator, FinalBlobBatchingChallenges } from './blob_batching.js'; + +/** + * See nr BlobAccumulatorPublicInputs and ts BatchedBlobAccumulator for documentation. + */ +export class BlobAccumulatorPublicInputs { + constructor( + public blobCommitmentsHashAcc: Fr, + public zAcc: Fr, + public yAcc: BLS12Fr, + public cAcc: BLS12Point, + public gammaAcc: Fr, + public gammaPowAcc: BLS12Fr, + ) {} + + static empty(): BlobAccumulatorPublicInputs { + return new BlobAccumulatorPublicInputs(Fr.ZERO, Fr.ZERO, BLS12Fr.ZERO, BLS12Point.ZERO, Fr.ZERO, BLS12Fr.ZERO); + } + + equals(other: BlobAccumulatorPublicInputs) { + return ( + this.blobCommitmentsHashAcc.equals(other.blobCommitmentsHashAcc) && + this.zAcc.equals(other.zAcc) && + this.yAcc.equals(other.yAcc) && + this.cAcc.equals(other.cAcc) && + this.gammaAcc.equals(other.gammaAcc) && + this.gammaPowAcc.equals(other.gammaPowAcc) + ); + } + + static fromBuffer(buffer: Buffer | BufferReader): BlobAccumulatorPublicInputs { + const reader = BufferReader.asReader(buffer); + return new BlobAccumulatorPublicInputs( + Fr.fromBuffer(reader), + Fr.fromBuffer(reader), + BLS12Fr.fromBuffer(reader), + BLS12Point.fromBuffer(reader), + Fr.fromBuffer(reader), + BLS12Fr.fromBuffer(reader), + ); + } + + toBuffer() { + return serializeToBuffer( + this.blobCommitmentsHashAcc, + this.zAcc, + this.yAcc, + this.cAcc, + this.gammaAcc, + this.gammaPowAcc, + ); + } + + /** + * Given blobs, accumulate all public inputs state. + * We assume the input blobs have not been evaluated at z. + * NOTE: Does NOT accumulate non circuit values including Q. This exists to simulate/check exactly what the circuit is doing + * and is unsafe for other use. For that reason, a toBatchedBlobAccumulator does not exist. See evaluateBlobs() oracle for usage. + * @returns An updated blob accumulator. + */ + async accumulateBlobs(blobs: Blob[], finalBlobChallenges: FinalBlobBatchingChallenges) { + let acc = new BatchedBlobAccumulator( + this.blobCommitmentsHashAcc, + this.zAcc, + this.yAcc, + this.cAcc, + BLS12Point.ZERO, + this.gammaAcc, + this.gammaPowAcc, + finalBlobChallenges, + ); + acc = await acc.accumulateBlobs(blobs); + return new BlobAccumulatorPublicInputs( + acc.blobCommitmentsHashAcc, + acc.zAcc, + acc.yAcc, + acc.cAcc, + acc.gammaAcc, + acc.gammaPow, + ); + } + + toFields() { + return [ + this.blobCommitmentsHashAcc, + this.zAcc, + ...this.yAcc.toNoirBigNum().limbs.map(Fr.fromString), + ...this.cAcc.x.toNoirBigNum().limbs.map(Fr.fromString), + ...this.cAcc.y.toNoirBigNum().limbs.map(Fr.fromString), + new Fr(this.cAcc.isInfinite), + this.gammaAcc, + ...this.gammaPowAcc.toNoirBigNum().limbs.map(Fr.fromString), + ]; + } + + static fromFields(fields: Fr[] | FieldReader): BlobAccumulatorPublicInputs { + const reader = FieldReader.asReader(fields); + return new BlobAccumulatorPublicInputs( + reader.readField(), + reader.readField(), + BLS12Fr.fromNoirBigNum({ limbs: reader.readFieldArray(BLS12_FR_LIMBS).map(f => f.toString()) }), + new BLS12Point( + BLS12Fq.fromNoirBigNum({ limbs: reader.readFieldArray(BLS12_FQ_LIMBS).map(f => f.toString()) }), + BLS12Fq.fromNoirBigNum({ limbs: reader.readFieldArray(BLS12_FQ_LIMBS).map(f => f.toString()) }), + reader.readBoolean(), + ), + reader.readField(), + BLS12Fr.fromNoirBigNum({ limbs: reader.readFieldArray(BLS12_FR_LIMBS).map(f => f.toString()) }), + ); + } +} + +/** + * See nr FinalBlobAccumulatorPublicInputs and ts BatchedBlobAccumulator for documentation. + */ +export class FinalBlobAccumulatorPublicInputs { + constructor( + public blobCommitmentsHash: Fr, + public z: Fr, + public y: BLS12Fr, + public c: BLS12Point, + ) {} + + static empty(): FinalBlobAccumulatorPublicInputs { + return new FinalBlobAccumulatorPublicInputs(Fr.ZERO, Fr.ZERO, BLS12Fr.ZERO, BLS12Point.ZERO); + } + + static fromBuffer(buffer: Buffer | BufferReader): FinalBlobAccumulatorPublicInputs { + const reader = BufferReader.asReader(buffer); + return new FinalBlobAccumulatorPublicInputs( + Fr.fromBuffer(reader), + Fr.fromBuffer(reader), + BLS12Fr.fromBuffer(reader), + BLS12Point.fromBuffer(reader), + ); + } + + toBuffer() { + return serializeToBuffer(this.blobCommitmentsHash, this.z, this.y, this.c); + } + + static fromBatchedBlob(blob: BatchedBlob) { + return new FinalBlobAccumulatorPublicInputs(blob.blobCommitmentsHash, blob.z, blob.y, blob.commitment); + } + + toFields() { + return [ + this.blobCommitmentsHash, + this.z, + ...this.y.toNoirBigNum().limbs.map(Fr.fromString), + // TODO(MW): add conversion when public inputs finalised + ...[new Fr(this.c.compress().subarray(0, 31)), new Fr(this.c.compress().subarray(31, 48))], + ]; + } + + // The below is used to send to L1 for proof verification + toString() { + // We prepend 32 bytes for the (unused) 'blobHash' slot. This is not read or required by getEpochProofPublicInputs() on L1, but + // is expected since we usually pass the full precompile inputs via verifyEpochRootProof() to getEpochProofPublicInputs() to ensure + // we use calldata rather than a slice in memory: + const buf = Buffer.concat([Buffer.alloc(32), this.z.toBuffer(), this.y.toBuffer(), this.c.compress()]); + return buf.toString('hex'); + } + + equals(other: FinalBlobAccumulatorPublicInputs) { + return ( + this.blobCommitmentsHash.equals(other.blobCommitmentsHash) && + this.z.equals(other.z) && + this.y.equals(other.y) && + this.c.equals(other.c) + ); + } + + // Creates a random instance. Used for testing only - will not prove/verify. + static random() { + return new FinalBlobAccumulatorPublicInputs(Fr.random(), Fr.random(), BLS12Fr.random(), BLS12Point.random()); + } + + [inspect.custom]() { + return `FinalBlobAccumulatorPublicInputs { + blobCommitmentsHash: ${inspect(this.blobCommitmentsHash)}, + z: ${inspect(this.z)}, + y: ${inspect(this.y)}, + c: ${inspect(this.c)}, + }`; + } +} + +/** + * startBlobAccumulator: Accumulated opening proofs for all blobs before this block range. + * endBlobAccumulator: Accumulated opening proofs for all blobs after adding this block range. + * finalBlobChallenges: Final values z and gamma, shared across the epoch. + */ +export class BlockBlobPublicInputs { + constructor( + public startBlobAccumulator: BlobAccumulatorPublicInputs, + public endBlobAccumulator: BlobAccumulatorPublicInputs, + public finalBlobChallenges: FinalBlobBatchingChallenges, + ) {} + + static empty(): BlockBlobPublicInputs { + return new BlockBlobPublicInputs( + BlobAccumulatorPublicInputs.empty(), + BlobAccumulatorPublicInputs.empty(), + FinalBlobBatchingChallenges.empty(), + ); + } + + static fromBuffer(buffer: Buffer | BufferReader): BlockBlobPublicInputs { + const reader = BufferReader.asReader(buffer); + return new BlockBlobPublicInputs( + reader.readObject(BlobAccumulatorPublicInputs), + reader.readObject(BlobAccumulatorPublicInputs), + reader.readObject(FinalBlobBatchingChallenges), + ); + } + + toBuffer() { + return serializeToBuffer(this.startBlobAccumulator, this.endBlobAccumulator, this.finalBlobChallenges); + } + + // Creates BlockBlobPublicInputs from the starting accumulator state and all blobs in the block. + // Assumes that startBlobAccumulator.finalChallenges have already been precomputed. + // Does not finalise challenge values (this is done in the final root rollup). + // TODO(MW): Integrate with BatchedBlob once old Blob classes removed + static async fromBlobs(startBlobAccumulator: BatchedBlobAccumulator, blobs: Blob[]): Promise { + const endBlobAccumulator = await startBlobAccumulator.accumulateBlobs(blobs); + return new BlockBlobPublicInputs( + startBlobAccumulator.toBlobAccumulatorPublicInputs(), + endBlobAccumulator.toBlobAccumulatorPublicInputs(), + startBlobAccumulator.finalBlobChallenges, + ); + } +} diff --git a/yarn-project/blob-lib/src/blob_public_inputs.test.ts b/yarn-project/blob-lib/src/blob_public_inputs.test.ts deleted file mode 100644 index 151858902c62..000000000000 --- a/yarn-project/blob-lib/src/blob_public_inputs.test.ts +++ /dev/null @@ -1,80 +0,0 @@ -import { Blob } from '@aztec/blob-lib'; -import { BLOBS_PER_BLOCK, BLOB_PUBLIC_INPUTS } from '@aztec/constants'; -import { timesParallel } from '@aztec/foundation/collection'; -import { randomInt } from '@aztec/foundation/crypto'; -import { Fr } from '@aztec/foundation/fields'; - -import { BlobPublicInputs, BlockBlobPublicInputs } from './blob_public_inputs.js'; -import { makeBlobPublicInputs, makeBlockBlobPublicInputs } from './testing.js'; - -describe('BlobPublicInputs', () => { - let blobPI: BlobPublicInputs; - - beforeAll(() => { - blobPI = makeBlobPublicInputs(randomInt(1000)); - }); - - it('serializes to buffer and deserializes it back', () => { - const buffer = blobPI.toBuffer(); - const res = BlobPublicInputs.fromBuffer(buffer); - expect(res).toEqual(blobPI); - }); - - it('converts correctly from Blob class', async () => { - const blob = await Blob.fromFields(Array(400).fill(new Fr(3))); - const converted = BlobPublicInputs.fromBlob(blob); - expect(converted.z).toEqual(blob.challengeZ); - expect(Buffer.from(converted.y.toString(16), 'hex')).toEqual(blob.evaluationY); - expect(converted.kzgCommitment).toEqual(blob.commitmentToFields()); - expect(converted.commitmentToBuffer()).toEqual(blob.commitment); - }); - - it('serializes to field array and deserializes it back', () => { - const fieldArray = blobPI.toFields(); - const res = BlobPublicInputs.fromFields(fieldArray); - expect(res).toEqual(blobPI); - }); - - // NB: In noir, blob.y is represented as a BigNum = 3x Fr fields. In ts, we use bigint for ease of calcs. - it('number of fields matches constant', () => { - const fields = blobPI.toFields(); - expect(fields.length).toBe(BLOB_PUBLIC_INPUTS); - }); -}); - -describe('BlockBlobPublicInputs', () => { - let blobPI: BlockBlobPublicInputs; - - beforeAll(() => { - blobPI = makeBlockBlobPublicInputs(randomInt(1000)); - }); - - it('serializes to buffer and deserializes it back', () => { - const buffer = blobPI.toBuffer(); - const res = BlockBlobPublicInputs.fromBuffer(buffer); - expect(res).toEqual(blobPI); - }); - - it('converts correctly from Blob class', async () => { - const blobs = await timesParallel(BLOBS_PER_BLOCK, i => Blob.fromFields(Array(400).fill(new Fr(i + 1)))); - const converted = BlockBlobPublicInputs.fromBlobs(blobs); - converted.inner.forEach((blobPI, i) => { - expect(blobPI.z).toEqual(blobs[i].challengeZ); - expect(Buffer.from(blobPI.y.toString(16), 'hex')).toEqual(blobs[i].evaluationY); - expect(blobPI.kzgCommitment).toEqual(blobs[i].commitmentToFields()); - expect(blobPI.commitmentToBuffer()).toEqual(blobs[i].commitment); - }); - }); - - it('serializes to field array and deserializes it back', () => { - const fieldArray = blobPI.toFields(); - const res = BlockBlobPublicInputs.fromFields(fieldArray); - expect(res).toEqual(blobPI); - }); - - // NB: In noir, blob.y is represented as a BigNum = 3x Fr fields. In ts, we use bigint for ease of calcs. - it('number of fields matches constant', () => { - const fields = blobPI.toFields(); - expect(fields.length).toBe(BLOB_PUBLIC_INPUTS * BLOBS_PER_BLOCK); - }); -}); diff --git a/yarn-project/blob-lib/src/blob_public_inputs.ts b/yarn-project/blob-lib/src/blob_public_inputs.ts deleted file mode 100644 index c9b90438e595..000000000000 --- a/yarn-project/blob-lib/src/blob_public_inputs.ts +++ /dev/null @@ -1,157 +0,0 @@ -import { BLOBS_PER_BLOCK } from '@aztec/constants'; -import { makeTuple } from '@aztec/foundation/array'; -import { toBigIntBE, toBufferBE, toHex } from '@aztec/foundation/bigint-buffer'; -import { sha256, sha256Trunc } from '@aztec/foundation/crypto'; -import { Fr } from '@aztec/foundation/fields'; -import { BufferReader, FieldReader, type Tuple, serializeToBuffer } from '@aztec/foundation/serialize'; -import type { FieldsOf } from '@aztec/foundation/types'; - -import { type Blob, VERSIONED_HASH_VERSION_KZG } from './blob.js'; - -/** - * Public inputs required to be passed from our rollup circuits to verify a blob. - */ -export class BlobPublicInputs { - constructor( - /** Challenge point z (= H(H(tx_effects), kzgCommmitment). */ - public z: Fr, - /** Evaluation y = p(z), where p() is the blob polynomial. */ - public y: bigint, - /** Commitment to the blob C. */ - public kzgCommitment: Tuple, - ) {} - - static empty(): BlobPublicInputs { - return new BlobPublicInputs(Fr.ZERO, 0n, [Fr.ZERO, Fr.ZERO]); - } - - isEmpty(): boolean { - return this.z.isZero() && this.y == 0n && this.kzgCommitment[0].isZero() && this.kzgCommitment[1].isZero(); - } - - static fromBuffer(buffer: Buffer | BufferReader): BlobPublicInputs { - const reader = BufferReader.asReader(buffer); - return new BlobPublicInputs(Fr.fromBuffer(reader), toBigIntBE(reader.readBytes(32)), reader.readArray(2, Fr)); - } - - toBuffer() { - return serializeToBuffer(...BlobPublicInputs.getFields(this)); - } - - static fromFields(fields: Fr[] | FieldReader): BlobPublicInputs { - const reader = FieldReader.asReader(fields); - // TODO: Create a BigNum to fields conversion we can use here and in type_conversion.ts - const fromBigNum = (fieldArr: Fr[]) => { - return BigInt( - fieldArr[2].toString().concat(fieldArr[1].toString().substring(2), fieldArr[0].toString().substring(2)), - ); - }; - return new BlobPublicInputs(reader.readField(), fromBigNum(reader.readFieldArray(3)), reader.readFieldArray(2)); - } - - // NB: y is NOT a BN254 field, it's a larger BLS field, we cannot use serialiseToFields here as it assumes bigints will fit - // TODO: Create a BigNum to fields conversion we can use here and in type_conversion.ts - toFields() { - const hex = toHex(this.y, true); - const bigNum = [ - Fr.fromString('0x' + hex.substring(36)), - Fr.fromString('0x' + hex.substring(6, 36)), - Fr.fromString(hex.substring(0, 6)), - ]; - return [this.z, ...bigNum, ...this.kzgCommitment]; - } - - static getFields(fields: FieldsOf) { - return [fields.z, fields.y, fields.kzgCommitment] as const; - } - - static fromBlob(input: Blob): BlobPublicInputs { - return new BlobPublicInputs(input.challengeZ, toBigIntBE(input.evaluationY), input.commitmentToFields()); - } - - getBlobHash(): Buffer { - const hash = sha256(this.commitmentToBuffer()); - hash[0] = VERSIONED_HASH_VERSION_KZG; - return hash; - } - - // Performs the reverse conversion of blob.commitmentToFields() - // 48 bytes encoded in fields as [Fr, Fr] = [0->31, 31->48] - commitmentToBuffer(): Buffer { - return Buffer.concat([ - this.kzgCommitment[0].toBuffer().subarray(1), - this.kzgCommitment[1].toBuffer().subarray(-17), - ]); - } - - equals(other: BlobPublicInputs) { - return ( - this.z.equals(other.z) && - this.y == other.y && - this.kzgCommitment[0].equals(other.kzgCommitment[0]) && - this.kzgCommitment[1].equals(other.kzgCommitment[1]) - ); - } -} - -// NB: it is much cleaner throughout the protocol circuits to define this struct rather than use a nested array. -// Once we accumulate blob inputs, it should be removed, and we just use BlobPublicInputs::accumulate everywhere. -export class BlockBlobPublicInputs { - constructor(public inner: Tuple) {} - - static empty(): BlockBlobPublicInputs { - return new BlockBlobPublicInputs(makeTuple(BLOBS_PER_BLOCK, BlobPublicInputs.empty)); - } - - static fromBuffer(buffer: Buffer | BufferReader): BlockBlobPublicInputs { - const reader = BufferReader.asReader(buffer); - return new BlockBlobPublicInputs(reader.readArray(BLOBS_PER_BLOCK, BlobPublicInputs)); - } - - toBuffer() { - return serializeToBuffer(...BlockBlobPublicInputs.getFields(this)); - } - - static fromFields(fields: Fr[] | FieldReader): BlockBlobPublicInputs { - const reader = FieldReader.asReader(fields); - return new BlockBlobPublicInputs(reader.readArray(BLOBS_PER_BLOCK, BlobPublicInputs)); - } - - toFields() { - return this.inner.map(i => i.toFields()).flat(); - } - - static getFields(fields: FieldsOf) { - return [fields.inner] as const; - } - - static fromBlobs(inputs: Blob[]): BlockBlobPublicInputs { - const inner = makeTuple(BLOBS_PER_BLOCK, BlobPublicInputs.empty); - if (inputs.length > BLOBS_PER_BLOCK) { - throw new Error(`Can only fit ${BLOBS_PER_BLOCK} in one BlockBlobPublicInputs instance (given ${inputs.length})`); - } - inputs.forEach((input, i) => { - inner[i] = BlobPublicInputs.fromBlob(input); - }); - return new BlockBlobPublicInputs(inner); - } - - getBlobsHash() { - const blobHashes = this.inner.map(item => (item.isEmpty() ? Buffer.alloc(0) : item.getBlobHash())); - return sha256Trunc(serializeToBuffer(blobHashes)); - } - - // The below is used to send to L1 for proof verification - toString() { - const nonEmptyBlobs = this.inner.filter(item => !item.isEmpty()); - // Write the number of blobs for L1 to verify - let buf = Buffer.alloc(1); - buf.writeUInt8(nonEmptyBlobs.length); - // Using standard toBuffer() does not correctly encode the commitment - // On L1, it's a 48 byte number, which we convert to 2 fields for use in the circuits - nonEmptyBlobs.forEach(blob => { - buf = Buffer.concat([buf, blob.z.toBuffer(), toBufferBE(blob.y, 32), blob.commitmentToBuffer()]); - }); - return buf.toString('hex'); - } -} diff --git a/yarn-project/blob-lib/src/index.ts b/yarn-project/blob-lib/src/index.ts index 5e19e354cfc9..b6b53c7392af 100644 --- a/yarn-project/blob-lib/src/index.ts +++ b/yarn-project/blob-lib/src/index.ts @@ -7,7 +7,7 @@ export * from './blob_batching.js'; export * from './encoding.js'; export * from './interface.js'; export * from './errors.js'; -export * from './blob_public_inputs.js'; +export * from './blob_batching_public_inputs.js'; export * from './sponge_blob.js'; try { diff --git a/yarn-project/blob-lib/src/testing.ts b/yarn-project/blob-lib/src/testing.ts index 095dfe5bc463..ca3b5595a714 100644 --- a/yarn-project/blob-lib/src/testing.ts +++ b/yarn-project/blob-lib/src/testing.ts @@ -1,10 +1,10 @@ -import { BLOBS_PER_BLOCK } from '@aztec/constants'; import { makeTuple } from '@aztec/foundation/array'; import { toBufferBE } from '@aztec/foundation/bigint-buffer'; -import { Fr } from '@aztec/foundation/fields'; +import { BLS12Fr, BLS12Point, Fr } from '@aztec/foundation/fields'; import { Blob } from './blob.js'; -import { BlobPublicInputs, BlockBlobPublicInputs } from './blob_public_inputs.js'; +import { BatchedBlobAccumulator, FinalBlobBatchingChallenges } from './blob_batching.js'; +import { BlockBlobPublicInputs } from './blob_batching_public_inputs.js'; import { TX_START_PREFIX, TX_START_PREFIX_BYTES_LENGTH } from './encoding.js'; import { Poseidon2Sponge, SpongeBlob } from './sponge_blob.js'; @@ -28,16 +28,21 @@ export function makeSpongeBlob(seed = 1): SpongeBlob { } /** - * Makes arbitrary blob public inputs. + * Makes arbitrary blob public accumulator. * Note: will not verify inside the circuit. - * @param seed - The seed to use for generating the blob inputs. - * @returns A blob public inputs instance. + * @param seed - The seed to use for generating the blob accumulator. + * @returns A blob accumulator instance. */ -export function makeBlobPublicInputs(seed = 1): BlobPublicInputs { - return new BlobPublicInputs( +export function makeBatchedBlobAccumulator(seed = 1): BatchedBlobAccumulator { + return new BatchedBlobAccumulator( new Fr(seed), - BigInt(seed + 1), - makeTuple(2, i => new Fr(i)), + new Fr(seed + 1), + new BLS12Fr(seed + 2), + BLS12Point.random(), + BLS12Point.random(), + new Fr(seed + 3), + new BLS12Fr(seed + 4), + new FinalBlobBatchingChallenges(new Fr(seed + 5), new BLS12Fr(seed + 6)), ); } @@ -48,7 +53,12 @@ export function makeBlobPublicInputs(seed = 1): BlobPublicInputs { * @returns A block blob public inputs instance. */ export function makeBlockBlobPublicInputs(seed = 1): BlockBlobPublicInputs { - return new BlockBlobPublicInputs(makeTuple(BLOBS_PER_BLOCK, () => makeBlobPublicInputs(seed))); + const startBlobAccumulator = makeBatchedBlobAccumulator(seed); + return new BlockBlobPublicInputs( + startBlobAccumulator.toBlobAccumulatorPublicInputs(), + makeBatchedBlobAccumulator(seed + 1).toBlobAccumulatorPublicInputs(), + startBlobAccumulator.finalBlobChallenges, + ); } // TODO: copied form stdlib tx effect diff --git a/yarn-project/constants/src/constants.gen.ts b/yarn-project/constants/src/constants.gen.ts index d51cb368f36f..5c548b23dfce 100644 --- a/yarn-project/constants/src/constants.gen.ts +++ b/yarn-project/constants/src/constants.gen.ts @@ -127,8 +127,14 @@ export const GLOBAL_VARIABLES_LENGTH = 9; export const APPEND_ONLY_TREE_SNAPSHOT_LENGTH = 2; export const APPEND_ONLY_TREE_SNAPSHOT_LENGTH_BYTES = 36; export const SPONGE_BLOB_LENGTH = 11; +export const BLS12_FR_LIMBS = 3; +export const BLS12_FQ_LIMBS = 4; +export const BLS12_POINT = 9; +export const BLS12_POINT_COMPRESSED_BYTES = 48; +export const BLOB_ACCUMULATOR_PUBLIC_INPUTS = 18; +export const FINAL_BLOB_ACCUMULATOR_PUBLIC_INPUTS = 7; +export const BLOCK_BLOB_PUBLIC_INPUTS = 40; export const BLOB_PUBLIC_INPUTS = 6; -export const BLOB_PUBLIC_INPUTS_BYTES = 112; export const L1_TO_L2_MESSAGE_LENGTH = 6; export const L2_TO_L1_MESSAGE_LENGTH = 3; export const SCOPED_L2_TO_L1_MESSAGE_LENGTH = 4; @@ -198,8 +204,8 @@ export const PRIVATE_TO_ROLLUP_KERNEL_CIRCUIT_PUBLIC_INPUTS_LENGTH = 813; export const AVM_CIRCUIT_PUBLIC_INPUTS_LENGTH = 1042; export const CONSTANT_ROLLUP_DATA_LENGTH = 13; export const BASE_OR_MERGE_PUBLIC_INPUTS_LENGTH = 52; -export const BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH = 1032; -export const ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH = 1015; +export const BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH = 210; +export const ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH = 158; export const NOTE_HASHES_NUM_BYTES_PER_BASE_ROLLUP = 2048; export const NULLIFIERS_NUM_BYTES_PER_BASE_ROLLUP = 2048; export const PUBLIC_DATA_WRITES_NUM_BYTES_PER_BASE_ROLLUP = 4096; diff --git a/yarn-project/constants/src/scripts/constants.in.ts b/yarn-project/constants/src/scripts/constants.in.ts index ff449b067b2b..eb1eeb7334db 100644 --- a/yarn-project/constants/src/scripts/constants.in.ts +++ b/yarn-project/constants/src/scripts/constants.in.ts @@ -191,10 +191,9 @@ const SOLIDITY_CONSTANTS = [ 'NUM_MSGS_PER_BASE_PARITY', 'NUM_BASE_PARITY_PER_ROOT_PARITY', 'PROPOSED_BLOCK_HEADER_LENGTH_BYTES', + 'BLS12_POINT_COMPRESSED_BYTES', 'ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH', 'BLOBS_PER_BLOCK', - 'BLOB_PUBLIC_INPUTS', - 'BLOB_PUBLIC_INPUTS_BYTES', 'INITIAL_L2_BLOCK_NUM', 'GENESIS_ARCHIVE_ROOT', 'FEE_JUICE_ADDRESS', diff --git a/yarn-project/end-to-end/src/composed/integration_l1_publisher.test.ts b/yarn-project/end-to-end/src/composed/integration_l1_publisher.test.ts index b6095d4b49c8..294afe55ee62 100644 --- a/yarn-project/end-to-end/src/composed/integration_l1_publisher.test.ts +++ b/yarn-project/end-to-end/src/composed/integration_l1_publisher.test.ts @@ -1,7 +1,7 @@ import type { ArchiveSource } from '@aztec/archiver'; import { getConfigEnvVars } from '@aztec/aztec-node'; import { AztecAddress, Fr, GlobalVariables, type L2Block, createLogger } from '@aztec/aztec.js'; -import { Blob, BlockBlobPublicInputs } from '@aztec/blob-lib'; +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { GENESIS_ARCHIVE_ROOT, MAX_NULLIFIERS_PER_TX, NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP } from '@aztec/constants'; import { EpochCache } from '@aztec/epoch-cache'; import { @@ -17,7 +17,7 @@ import { L1TxUtilsWithBlobs } from '@aztec/ethereum/l1-tx-utils-with-blobs'; import { EthCheatCodesWithState } from '@aztec/ethereum/test'; import { range } from '@aztec/foundation/array'; import { timesParallel } from '@aztec/foundation/collection'; -import { SHA256Trunc, sha256, sha256ToField } from '@aztec/foundation/crypto'; +import { SHA256Trunc, sha256ToField } from '@aztec/foundation/crypto'; import { EthAddress } from '@aztec/foundation/eth-address'; import { TestDateProvider } from '@aztec/foundation/timer'; import { openTmpStore } from '@aztec/kv-store/lmdb'; @@ -265,6 +265,7 @@ describe('L1Publisher integration', () => { block: L2Block, l1ToL2Content: Fr[], blobs: Blob[], + batchedBlob: BatchedBlob, recipientAddress: AztecAddress, deployerAddress: `0x${string}`, ): Promise => { @@ -289,7 +290,8 @@ describe('L1Publisher integration', () => { // The json formatting in forge is a bit brittle, so we convert Fr to a number in the few values below. // This should not be a problem for testing as long as the values are not larger than u32. archive: `0x${block.archive.root.toBuffer().toString('hex').padStart(64, '0')}`, - blobInputs: Blob.getEthBlobEvaluationInputs(blobs), + blobCommitments: Blob.getPrefixedEthBlobCommitments(blobs), + batchedBlobInputs: batchedBlob.getEthBlobEvaluationInputs(), blockNumber: block.number, body: `0x${block.body.toBuffer().toString('hex')}`, decodedHeader: { @@ -355,6 +357,10 @@ describe('L1Publisher integration', () => { let currentL1ToL2Messages: Fr[] = []; let nextL1ToL2Messages: Fr[] = []; + const allBlobs: Blob[] = []; + // The below batched blob is used for testing different epochs with 1..numberOfConsecutiveBlocks blocks on L1. + // For real usage, always collect ALL epoch blobs first then call .batch(). + let currentBatch: BatchedBlob | undefined; for (let i = 0; i < numberOfConsecutiveBlocks; i++) { const l1ToL2Content = range(NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP, 128 * i + 1 + 0x400).map(fr); @@ -398,23 +404,31 @@ describe('L1Publisher integration', () => { // Check that we have not yet written a root to this blocknumber expect(BigInt(emptyRoot)).toStrictEqual(0n); - const blobs = await Blob.getBlobs(block.body.toBlobFields()); + const blockBlobs = await Blob.getBlobs(block.body.toBlobFields()); expect(block.header.contentCommitment.blobsHash).toEqual( - sha256ToField(blobs.map(b => b.getEthVersionedBlobHash())).toBuffer(), + sha256ToField(blockBlobs.map(b => b.getEthVersionedBlobHash())).toBuffer(), ); + let prevBlobAccumulatorHash = hexStringToBuffer(await rollup.getCurrentBlobCommitmentsHash()); + + blocks.push(block); + allBlobs.push(...blockBlobs); + + // Batch the blobs so far, so they can be used in the L1 unit tests: + currentBatch = await BatchedBlob.batch(allBlobs); + await writeJson( `${jsonFileNamePrefix}_${block.number}`, block, l1ToL2Content, - blobs, + blockBlobs, + currentBatch, recipientAddress, deployerAccount.address, ); await publisher.enqueueProposeL2Block(block); await publisher.sendRequests(); - blocks.push(block); const logs = await l1Client.getLogs({ address: rollupAddress, @@ -426,15 +440,24 @@ describe('L1Publisher integration', () => { }); expect(logs).toHaveLength(i + 1); expect(logs[i].args.blockNumber).toEqual(BigInt(i + 1)); + const thisBlockNumber = block.header.globalVariables.blockNumber.toBigInt(); + const isFirstBlockOfEpoch = + thisBlockNumber == 1n || + (await rollup.getEpochNumber(thisBlockNumber)) > (await rollup.getEpochNumber(thisBlockNumber - 1n)); + // If we are at the first blob of the epoch, we must initialise the hash: + prevBlobAccumulatorHash = isFirstBlockOfEpoch ? Buffer.alloc(0) : prevBlobAccumulatorHash; + const currentBlobAccumulatorHash = hexStringToBuffer(await rollup.getCurrentBlobCommitmentsHash()); + let expectedBlobAccumulatorHash = prevBlobAccumulatorHash; + blockBlobs + .map(b => b.commitment) + .forEach(c => { + expectedBlobAccumulatorHash = sha256ToField([expectedBlobAccumulatorHash, c]).toBuffer(); + }); + expect(currentBlobAccumulatorHash).toEqual(expectedBlobAccumulatorHash); const ethTx = await l1Client.getTransaction({ hash: logs[i].transactionHash!, }); - - const blobPublicInputsHash = await rollup.getBlobPublicInputsHash(BigInt(i + 1)); - const expectedHash = sha256(Buffer.from(BlockBlobPublicInputs.fromBlobs(blobs).toString().substring(2), 'hex')); - expect(blobPublicInputsHash).toEqual(`0x${expectedHash.toString('hex')}`); - const expectedRollupData = encodeFunctionData({ abi: RollupAbi, functionName: 'propose', @@ -449,7 +472,7 @@ describe('L1Publisher integration', () => { txHashes: [], }, [], - Blob.getEthBlobEvaluationInputs(blobs), + Blob.getPrefixedEthBlobCommitments(blockBlobs), ], }); const expectedData = encodeFunctionData({ diff --git a/yarn-project/end-to-end/src/e2e_epochs/epochs_empty_blocks.test.ts b/yarn-project/end-to-end/src/e2e_epochs/epochs_empty_blocks.test.ts index bebc7d4fd5e0..76855f3e527d 100644 --- a/yarn-project/end-to-end/src/e2e_epochs/epochs_empty_blocks.test.ts +++ b/yarn-project/end-to-end/src/e2e_epochs/epochs_empty_blocks.test.ts @@ -7,7 +7,7 @@ import { jest } from '@jest/globals'; import type { EndToEndContext } from '../fixtures/utils.js'; import { EpochsTestContext, WORLD_STATE_BLOCK_HISTORY } from './epochs_test.js'; -jest.setTimeout(1000 * 60 * 10); +jest.setTimeout(1000 * 60 * 15); describe('e2e_epochs/epochs_empty_blocks', () => { let context: EndToEndContext; @@ -63,7 +63,7 @@ describe('e2e_epochs/epochs_empty_blocks', () => { `Reached PENDING L2 block ${epochTargetBlockNumber}, proving should now start, waiting for PROVEN block to reach ${provenBlockNumber}`, ); await test.waitUntilProvenL2BlockNumber(provenBlockNumber, 120); - expect(Number(await rollup.getProvenBlockNumber())).toBe(provenBlockNumber); + expect(Number(await rollup.getProvenBlockNumber())).toBeGreaterThanOrEqual(provenBlockNumber); logger.info(`Reached PROVEN block number ${provenBlockNumber}, epoch ${epochNumber} is now proven`); epochNumber++; diff --git a/yarn-project/end-to-end/src/e2e_epochs/epochs_proof_fails.test.ts b/yarn-project/end-to-end/src/e2e_epochs/epochs_proof_fails.test.ts index 547263fd29f5..74e09d360612 100644 --- a/yarn-project/end-to-end/src/e2e_epochs/epochs_proof_fails.test.ts +++ b/yarn-project/end-to-end/src/e2e_epochs/epochs_proof_fails.test.ts @@ -1,4 +1,5 @@ import { type Logger, getTimestampRangeForEpoch, sleep } from '@aztec/aztec.js'; +import { BatchedBlob } from '@aztec/blob-lib'; import type { ViemClient } from '@aztec/ethereum'; import { RollupContract } from '@aztec/ethereum/contracts'; import { ChainMonitor, type Delayer, waitUntilL1Timestamp } from '@aztec/ethereum/test'; @@ -94,7 +95,15 @@ describe('e2e_epochs/epochs_proof_fails', () => { await sleep(L2_SLOT_DURATION_IN_S * test.epochDuration * 1000); logger.warn(`Finalise epoch: returning.`); finaliseEpochPromise.resolve(); - return { publicInputs: RootRollupPublicInputs.random(), proof: Proof.empty() }; + const ourPublicInputs = RootRollupPublicInputs.random(); + const ourBatchedBlob = new BatchedBlob( + ourPublicInputs.blobPublicInputs.blobCommitmentsHash, + ourPublicInputs.blobPublicInputs.z, + ourPublicInputs.blobPublicInputs.y, + ourPublicInputs.blobPublicInputs.c, + ourPublicInputs.blobPublicInputs.c.negate(), // Fill with dummy value for Q + ); + return { publicInputs: ourPublicInputs, proof: Proof.empty(), batchedBlobInputs: ourBatchedBlob }; }); return prover; }); diff --git a/yarn-project/end-to-end/src/fixtures/dumps/epoch_proof_result.json b/yarn-project/end-to-end/src/fixtures/dumps/epoch_proof_result.json index c2441e1fb1bf..1bf144198a82 100644 --- a/yarn-project/end-to-end/src/fixtures/dumps/epoch_proof_result.json +++ b/yarn-project/end-to-end/src/fixtures/dumps/epoch_proof_result.json @@ -1 +1 @@ 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\ No newline at end of file diff --git a/yarn-project/ethereum/src/contracts/rollup.ts b/yarn-project/ethereum/src/contracts/rollup.ts index 9dff11ec4e47..6f563811bd37 100644 --- a/yarn-project/ethereum/src/contracts/rollup.ts +++ b/yarn-project/ethereum/src/contracts/rollup.ts @@ -456,8 +456,12 @@ export class RollupContract { return this.rollup.read.getStatus([address]); } - getBlobPublicInputsHash(blockNumber: bigint) { - return this.rollup.read.getBlobPublicInputsHash([blockNumber]); + getBlobCommitmentsHash(blockNumber: bigint) { + return this.rollup.read.getBlobCommitmentsHash([blockNumber]); + } + + getCurrentBlobCommitmentsHash() { + return this.rollup.read.getCurrentBlobCommitmentsHash(); } getStakingAsset() { diff --git a/yarn-project/foundation/src/fields/bls12_point.ts b/yarn-project/foundation/src/fields/bls12_point.ts index 03728f892a29..94027f68e1e5 100644 --- a/yarn-project/foundation/src/fields/bls12_point.ts +++ b/yarn-project/foundation/src/fields/bls12_point.ts @@ -1,6 +1,7 @@ import type { ProjPointType } from '@noble/curves/abstract/weierstrass'; /* eslint-disable camelcase */ import { bls12_381 } from '@noble/curves/bls12-381'; +import { inspect } from 'util'; import { toBufferBE } from '../bigint-buffer/index.js'; import { randomBoolean } from '../crypto/random/index.js'; @@ -48,6 +49,14 @@ export class BLS12Point { return this.toString(); } + [inspect.custom]() { + return `BLS12Point { + x: ${inspect(this.x)}, + y: ${inspect(this.y)}, + isInfinite: ${inspect(this.isInfinite)}, + }`; + } + static get schema() { return hexSchemaFor(BLS12Point); } diff --git a/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts b/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts index b0da314f6df2..590946024c0c 100644 --- a/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts +++ b/yarn-project/noir-protocol-circuits-types/src/conversion/server.ts @@ -1,9 +1,17 @@ -import { BlobPublicInputs, BlockBlobPublicInputs, Poseidon2Sponge, SpongeBlob } from '@aztec/blob-lib'; +import { + BlobAccumulatorPublicInputs, + BlockBlobPublicInputs, + FinalBlobAccumulatorPublicInputs, + FinalBlobBatchingChallenges, + Poseidon2Sponge, + SpongeBlob, +} from '@aztec/blob-lib'; import { type AVM_V2_PROOF_LENGTH_IN_FIELDS_PADDED, AVM_V2_VERIFICATION_KEY_LENGTH_IN_FIELDS_PADDED, AZTEC_MAX_EPOCH_DURATION, - BLOBS_PER_BLOCK, + BLS12_FQ_LIMBS, + BLS12_FR_LIMBS, CONTRACT_CLASS_LOG_SIZE_IN_FIELDS, HONK_VERIFICATION_KEY_LENGTH_IN_FIELDS, type NESTED_RECURSIVE_PROOF_LENGTH, @@ -12,9 +20,8 @@ import { ROLLUP_HONK_VERIFICATION_KEY_LENGTH_IN_FIELDS, type TUBE_PROOF_LENGTH, } from '@aztec/constants'; -import { toHex } from '@aztec/foundation/bigint-buffer'; -import { Fr } from '@aztec/foundation/fields'; -import { mapTuple } from '@aztec/foundation/serialize'; +import { BLS12Fq, BLS12Fr, BLS12Point, Fr } from '@aztec/foundation/fields'; +import { assertLength, mapTuple } from '@aztec/foundation/serialize'; import type { MembershipWitness } from '@aztec/foundation/trees'; import { type AvmAccumulatedData, @@ -63,11 +70,12 @@ import type { AvmAccumulatedData as AvmAccumulatedDataNoir, AvmCircuitPublicInputs as AvmCircuitPublicInputsNoir, AvmProofData as AvmProofDataNoir, + BLS12_381_Fq as BLS12FqNoir, + BLS12_381_Fr as BLS12FrNoir, BaseOrMergeRollupPublicInputs as BaseOrMergeRollupPublicInputsNoir, BaseParityInputs as BaseParityInputsNoir, - BLS12_381_Fr as BigNum, - BlobCommitment as BlobCommitmentNoir, - BlobPublicInputs as BlobPublicInputsNoir, + BigCurve, + BlobAccumulatorPublicInputs as BlobAccumulatorPublicInputsNoir, BlockBlobPublicInputs as BlockBlobPublicInputsNoir, BlockMergeRollupInputs as BlockMergeRollupInputsNoir, BlockRootOrBlockMergePublicInputs as BlockRootOrBlockMergePublicInputsNoir, @@ -77,6 +85,8 @@ import type { ConstantRollupData as ConstantRollupDataNoir, EmptyBlockRootRollupInputs as EmptyBlockRootRollupInputsNoir, FeeRecipient as FeeRecipientNoir, + FinalBlobAccumulatorPublicInputs as FinalBlobAccumulatorPublicInputsNoir, + FinalBlobBatchingChallenges as FinalBlobBatchingChallengesNoir, MergeRollupInputs as MergeRollupInputsNoir, Field as NoirField, ParityPublicInputs as ParityPublicInputsNoir, @@ -150,26 +160,46 @@ import { /* eslint-disable camelcase */ /** - * Maps a BigNum coming to/from noir. - * TODO(): Is BigInt the best way to represent this? * @param number - The BigNum representing the number. * @returns The number */ -export function mapBLS12BigNumFromNoir(bignum: BigNum): bigint { - // TODO(Miranda): there's gotta be a better way to convert this - const paddedLimbs = [ - `0x` + bignum.limbs[2].substring(2).padStart(4, '0'), - bignum.limbs[1].substring(2).padStart(30, '0'), - bignum.limbs[0].substring(2).padStart(30, '0'), - ]; - return BigInt(paddedLimbs[0].concat(paddedLimbs[1], paddedLimbs[2])); +export function mapBLS12FrFromNoir(bignum: BLS12FrNoir): BLS12Fr { + return BLS12Fr.fromNoirBigNum(bignum); +} + +export function mapBLS12FrToNoir(number: BLS12Fr): BLS12FrNoir { + return { + limbs: assertLength(number.toNoirBigNum().limbs, BLS12_FR_LIMBS), + }; +} + +/** + * @param number - The BigNum representing the number. + * @returns The number + */ +export function mapBLS12FqFromNoir(bignum: BLS12FqNoir): BLS12Fq { + return BLS12Fq.fromNoirBigNum(bignum); +} + +export function mapBLS12FqToNoir(number: BLS12Fq): BLS12FqNoir { + return { + limbs: assertLength(number.toNoirBigNum().limbs, BLS12_FQ_LIMBS), + }; +} + +/** + * @param number - The BigCurve representing the point. + * @returns The point + */ +export function mapBLS12PointFromNoir(bigcurve: BigCurve): BLS12Point { + return new BLS12Point(mapBLS12FqFromNoir(bigcurve.x), mapBLS12FqFromNoir(bigcurve.y), bigcurve.is_infinity); } -// TODO(MW): Use BLS12Field's .toNoirBigNum() -export function mapBLS12BigNumToNoir(number: bigint): BigNum { - const hex = toHex(number, true); +export function mapBLS12PointToNoir(point: BLS12Point): BigCurve { return { - limbs: ['0x' + hex.substring(36), '0x' + hex.substring(6, 36), hex.substring(0, 6)], + x: mapBLS12FqToNoir(point.x), + y: mapBLS12FqToNoir(point.y), + is_infinity: point.isInfinite, }; } @@ -239,40 +269,85 @@ export function mapSpongeBlobFromNoir(spongeBlob: SpongeBlobNoir): SpongeBlob { } /** - * Maps blob commitment to noir. - * @param commitment - The stdlib commitment. - * @returns The noir commitment. + * Maps blob challenges to noir. + * @param challenges - The stdlib challenges. + * @returns The noir challenges. */ -export function mapBlobCommitmentToNoir(commitment: [Fr, Fr]): BlobCommitmentNoir { +export function mapFinalBlobBatchingChallengesToNoir( + challenges: FinalBlobBatchingChallenges, +): FinalBlobBatchingChallengesNoir { return { - inner: mapTuple(commitment, mapFieldToNoir), + z: mapFieldToNoir(challenges.z), + gamma: mapBLS12FrToNoir(challenges.gamma), }; } /** - * Maps blob public inputs to noir. - * @param blobPublicInputs - The stdlib blob public inputs. - * @returns The noir blob public inputs. + * Maps blob challenges from noir. + * @param challenges - The noir challenges. + * @returns The stdlib challenges. */ -export function mapBlobPublicInputsToNoir(blobPublicInputs: BlobPublicInputs): BlobPublicInputsNoir { - return { - z: mapFieldToNoir(blobPublicInputs.z), - y: mapBLS12BigNumToNoir(blobPublicInputs.y), +export function mapFinalBlobBatchingChallengesFromNoir( + challenges: FinalBlobBatchingChallengesNoir, +): FinalBlobBatchingChallenges { + return new FinalBlobBatchingChallenges(mapFieldFromNoir(challenges.z), mapBLS12FrFromNoir(challenges.gamma)); +} - kzg_commitment: mapBlobCommitmentToNoir(blobPublicInputs.kzgCommitment), +/** + * Maps blob accumulator public inputs to noir. + * @param blobPublicInputs - The stdlib blob accumulator inputs. + * @returns The noir blob accumulator public inputs. + */ +export function mapBlobAccumulatorPublicInputsToNoir( + blobPublicInputs: BlobAccumulatorPublicInputs, +): BlobAccumulatorPublicInputsNoir { + return { + blob_commitments_hash_acc: mapFieldToNoir(blobPublicInputs.blobCommitmentsHashAcc), + z_acc: mapFieldToNoir(blobPublicInputs.zAcc), + y_acc: mapBLS12FrToNoir(blobPublicInputs.yAcc), + c_acc: mapBLS12PointToNoir(blobPublicInputs.cAcc), + gamma_acc: mapFieldToNoir(blobPublicInputs.gammaAcc), + gamma_pow_acc: mapBLS12FrToNoir(blobPublicInputs.gammaPowAcc), }; } /** - * Maps blob public inputs from noir. - * @param blobPublicInputs - The noir blob public inputs. - * @returns The stdlib blob public inputs. + * Maps blob accumulator public inputs from noir. + * @param blobPublicInputs - The noir blob accumulator public inputs. + * @returns The stdlib blob accumulator inputs. + */ +export function mapBlobAccumulatorPublicInputsFromNoir( + blobPublicInputs: BlobAccumulatorPublicInputsNoir, +): BlobAccumulatorPublicInputs { + return new BlobAccumulatorPublicInputs( + mapFieldFromNoir(blobPublicInputs.blob_commitments_hash_acc), + mapFieldFromNoir(blobPublicInputs.z_acc), + mapBLS12FrFromNoir(blobPublicInputs.y_acc), + mapBLS12PointFromNoir(blobPublicInputs.c_acc), + mapFieldFromNoir(blobPublicInputs.gamma_acc), + mapBLS12FrFromNoir(blobPublicInputs.gamma_pow_acc), + ); +} + +/** + * Maps final blob accumulator public inputs from noir. + * @param finalBlobPublicInputs - The noir blob accumulator public inputs. + * @returns The stdlib final blob accumulator inputs. */ -export function mapBlobPublicInputsFromNoir(blobPublicInputs: BlobPublicInputsNoir): BlobPublicInputs { - return new BlobPublicInputs( - mapFieldFromNoir(blobPublicInputs.z), - mapBLS12BigNumFromNoir(blobPublicInputs.y), - mapTupleFromNoir(blobPublicInputs.kzg_commitment.inner, 2, mapFieldFromNoir), +export function mapFinalBlobAccumulatorPublicInputsFromNoir( + finalBlobPublicInputs: FinalBlobAccumulatorPublicInputsNoir, +): FinalBlobAccumulatorPublicInputs { + return new FinalBlobAccumulatorPublicInputs( + mapFieldFromNoir(finalBlobPublicInputs.blob_commitments_hash), + mapFieldFromNoir(finalBlobPublicInputs.z), + mapBLS12FrFromNoir(finalBlobPublicInputs.y), + // TODO(MW): add conversion when public inputs final + BLS12Point.decompress( + Buffer.concat([ + mapFieldFromNoir(finalBlobPublicInputs.c[0]).toBuffer().subarray(1), + mapFieldFromNoir(finalBlobPublicInputs.c[1]).toBuffer().subarray(-17), + ]), + ), ); } @@ -285,7 +360,9 @@ export function mapBlockBlobPublicInputsToNoir( blockBlobPublicInputs: BlockBlobPublicInputs, ): BlockBlobPublicInputsNoir { return { - inner: mapTuple(blockBlobPublicInputs.inner, mapBlobPublicInputsToNoir), + start_blob_accumulator: mapBlobAccumulatorPublicInputsToNoir(blockBlobPublicInputs.startBlobAccumulator), + end_blob_accumulator: mapBlobAccumulatorPublicInputsToNoir(blockBlobPublicInputs.endBlobAccumulator), + final_blob_challenges: mapFinalBlobBatchingChallengesToNoir(blockBlobPublicInputs.finalBlobChallenges), }; } @@ -298,7 +375,9 @@ export function mapBlockBlobPublicInputsFromNoir( blockBlobPublicInputs: BlockBlobPublicInputsNoir, ): BlockBlobPublicInputs { return new BlockBlobPublicInputs( - mapTupleFromNoir(blockBlobPublicInputs.inner, BLOBS_PER_BLOCK, mapBlobPublicInputsFromNoir), + mapBlobAccumulatorPublicInputsFromNoir(blockBlobPublicInputs.start_blob_accumulator), + mapBlobAccumulatorPublicInputsFromNoir(blockBlobPublicInputs.end_blob_accumulator), + mapFinalBlobBatchingChallengesFromNoir(blockBlobPublicInputs.final_blob_challenges), ); } @@ -380,7 +459,7 @@ export function mapBlockRootOrBlockMergePublicInputsToNoir( vk_tree_root: mapFieldToNoir(blockRootOrBlockMergePublicInputs.vkTreeRoot), protocol_contract_tree_root: mapFieldToNoir(blockRootOrBlockMergePublicInputs.protocolContractTreeRoot), prover_id: mapFieldToNoir(blockRootOrBlockMergePublicInputs.proverId), - blob_public_inputs: mapTuple(blockRootOrBlockMergePublicInputs.blobPublicInputs, mapBlockBlobPublicInputsToNoir), + blob_public_inputs: mapBlockBlobPublicInputsToNoir(blockRootOrBlockMergePublicInputs.blobPublicInputs), }; } @@ -430,11 +509,7 @@ export function mapRootRollupPublicInputsFromNoir( mapFieldFromNoir(rootRollupPublicInputs.vk_tree_root), mapFieldFromNoir(rootRollupPublicInputs.protocol_contract_tree_root), mapFieldFromNoir(rootRollupPublicInputs.prover_id), - mapTupleFromNoir( - rootRollupPublicInputs.blob_public_inputs, - AZTEC_MAX_EPOCH_DURATION, - mapBlockBlobPublicInputsFromNoir, - ), + mapFinalBlobAccumulatorPublicInputsFromNoir(rootRollupPublicInputs.blob_public_inputs), ); } @@ -612,11 +687,7 @@ export function mapBlockRootOrBlockMergePublicInputsFromNoir( mapFieldFromNoir(blockRootOrBlockMergePublicInputs.vk_tree_root), mapFieldFromNoir(blockRootOrBlockMergePublicInputs.protocol_contract_tree_root), mapFieldFromNoir(blockRootOrBlockMergePublicInputs.prover_id), - mapTupleFromNoir( - blockRootOrBlockMergePublicInputs.blob_public_inputs, - AZTEC_MAX_EPOCH_DURATION, - mapBlockBlobPublicInputsFromNoir, - ), + mapBlockBlobPublicInputsFromNoir(blockRootOrBlockMergePublicInputs.blob_public_inputs), ); } @@ -670,6 +741,8 @@ function mapBlockRootRollupDataToNoir(data: BlockRootRollupData): BlockRootRollu previous_archive_sibling_path: mapTuple(data.previousArchiveSiblingPath, mapFieldToNoir), new_archive_sibling_path: mapTuple(data.newArchiveSiblingPath, mapFieldToNoir), previous_block_header: mapHeaderToNoir(data.previousBlockHeader), + start_blob_accumulator: mapBlobAccumulatorPublicInputsToNoir(data.startBlobAccumulator), + final_blob_challenges: mapFinalBlobBatchingChallengesToNoir(data.finalBlobChallenges), prover_id: mapFieldToNoir(data.proverId), }; } @@ -678,7 +751,7 @@ function mapBlockRootRollupBlobDataToNoir(data: BlockRootRollupBlobData): BlockR return { // @ts-expect-error - below line gives error 'Type instantiation is excessively deep and possibly infinite. ts(2589)' blobs_fields: mapTuple(data.blobFields, mapFieldToNoir), - blob_commitments: mapTuple(data.blobCommitments, mapBlobCommitmentToNoir), + blob_commitments: mapTuple(data.blobCommitments, mapBLS12PointToNoir), blobs_hash: mapFieldToNoir(data.blobsHash), }; } diff --git a/yarn-project/noir-protocol-circuits-types/src/utils/server/foreign_call_handler.ts b/yarn-project/noir-protocol-circuits-types/src/utils/server/foreign_call_handler.ts index e34122a56045..36ed54f2946a 100644 --- a/yarn-project/noir-protocol-circuits-types/src/utils/server/foreign_call_handler.ts +++ b/yarn-project/noir-protocol-circuits-types/src/utils/server/foreign_call_handler.ts @@ -1,5 +1,14 @@ -import { Blob, BlockBlobPublicInputs, SpongeBlob } from '@aztec/blob-lib'; -import { Fr } from '@aztec/foundation/fields'; +import { Blob, BlobAccumulatorPublicInputs, FinalBlobBatchingChallenges, SpongeBlob } from '@aztec/blob-lib'; +import { + BLOBS_PER_BLOCK, + BLOB_ACCUMULATOR_PUBLIC_INPUTS, + BLS12_FQ_LIMBS, + BLS12_FR_LIMBS, + BLS12_POINT, + FIELDS_PER_BLOB, + SPONGE_BLOB_LENGTH, +} from '@aztec/constants'; +import { BLS12Fq, BLS12Fr, BLS12Point, Fr } from '@aztec/foundation/fields'; import { applyStringFormatting, createLogger } from '@aztec/foundation/log'; import type { ForeignCallInput, ForeignCallOutput } from '@aztec/noir-acvm_js'; @@ -16,31 +25,62 @@ export async function foreignCallHandler(name: string, args: ForeignCallInput[]) const fieldsFr: Fr[] = fields.map((field: string) => Fr.fromString(field)); log.verbose('debug_log ' + applyStringFormatting(msg, fieldsFr)); } else if (name === 'evaluateBlobs') { + // Args are nested arrays with a max depth of one. If structs change using these nested arrays will break => + // we flatten all inputs and use constants. + const flattenedArgs = args.flat(); + let offset = 0; // TODO(#10323): this was added to save simulation time (~1min in ACVM, ~3mins in wasm -> 500ms). // The use of bignum adds a lot of unconstrained code which overloads limits when simulating. // If/when simulation times of unconstrained are improved, remove this. // Create and evaluate our blobs: - const paddedBlobsAsFr: Fr[] = args[0].map((field: string) => Fr.fromString(field)); - const kzgCommitments = args[1].map((field: string) => Fr.fromString(field)); + // - args[0] is an array of raw blob fields: + const paddedBlobsAsFr: Fr[] = flattenedArgs + .slice(offset, (offset += FIELDS_PER_BLOB * BLOBS_PER_BLOCK)) + .map((field: string) => Fr.fromString(field)); + // - args[1] is an array of BLOBS_PER_BLOCK commitments, which are BLS12_381 points: {x: bignum, y: bignum, is_inf: bool} + // TODO(#14646): Omit/compress some fields to reduce number of public inputs & outputs here? + const kzgCommitmentsFields = flattenedArgs.slice(offset, (offset += BLS12_POINT * BLOBS_PER_BLOCK)); + const kzgCommitments: BLS12Point[] = []; + for (let i = 0; i < kzgCommitmentsFields.length; i += BLS12_POINT) { + const x = BLS12Fq.fromNoirBigNum({ limbs: kzgCommitmentsFields.slice(i, i + BLS12_FQ_LIMBS) }); + const y = BLS12Fq.fromNoirBigNum({ + limbs: kzgCommitmentsFields.slice(i + BLS12_FQ_LIMBS, i + BLS12_FQ_LIMBS * 2), + }); + const isInfinite = Fr.fromString(kzgCommitmentsFields[i + BLS12_FQ_LIMBS * 2]).toBool(); + kzgCommitments.push(new BLS12Point(x, y, isInfinite)); + } + + // - args[2] is the spongeblob accumulator const spongeBlob = SpongeBlob.fromFields( - args - .slice(2) + flattenedArgs + .slice(offset, (offset += SPONGE_BLOB_LENGTH)) .flat() .map((field: string) => Fr.fromString(field)), ); + // - args[3] is the challenges struct, containing z (BNFr) and gamma (BLS12Fr) + // TODO(#14646): Omit/compress some fields to reduce number of public inputs & outputs here? + const finalBlobChallenges = new FinalBlobBatchingChallenges( + Fr.fromString(flattenedArgs[offset++]), + BLS12Fr.fromNoirBigNum({ limbs: flattenedArgs.slice(offset, (offset += BLS12_FR_LIMBS)) }), + ); + + // - args[4] is the start blob batching accumulator + // TODO(#14646): Omit/compress some fields to reduce number of public inputs & outputs here? + const startBlobAccumulatorFields = flattenedArgs.slice(offset, (offset += BLOB_ACCUMULATOR_PUBLIC_INPUTS)); + const startBlobAccumulator = BlobAccumulatorPublicInputs.fromFields(startBlobAccumulatorFields.map(Fr.fromString)); + const blobsAsFr = paddedBlobsAsFr.slice(0, spongeBlob.expectedFields); // NB: the above used to be: // const blobsAsFr: Fr[] = args[0].map((field: string) => Fr.fromString(field)).filter(field => !field.isZero()); // ...but we now have private logs which have a fixed number of fields and may have 0 values. // TODO(Miranda): trim 0 fields from private logs const blobs = await Blob.getBlobs(blobsAsFr); - const blobPublicInputs = BlockBlobPublicInputs.fromBlobs(blobs); // Checks on injected values: const hash = await spongeBlob.squeeze(); blobs.forEach((blob, i) => { - const injected = kzgCommitments.slice(2 * i, 2 * i + 2); - const calculated = blob.commitmentToFields(); - if (!calculated[0].equals(injected[0]) || !calculated[1].equals(injected[1])) { + const injected = kzgCommitments[i]; + const calculated = BLS12Point.decompress(blob.commitment); + if (!calculated.equals(injected)) { throw new Error(`Blob commitment mismatch. Real: ${calculated}, Injected: ${injected}`); } if (!hash.equals(blob.fieldsHash)) { @@ -49,7 +89,8 @@ export async function foreignCallHandler(name: string, args: ForeignCallInput[]) ); } }); - return Promise.resolve([blobPublicInputs.toFields().map(field => field.toString())]); + const endBlobAccumulator = await startBlobAccumulator.accumulateBlobs(blobs, finalBlobChallenges); + return Promise.resolve([endBlobAccumulator.toFields().map(field => field.toString())]); } else if (name === 'noOp') { // Workaround for compiler issues where data is deleted because it's "unused" } else { diff --git a/yarn-project/prover-client/src/block-factory/light.test.ts b/yarn-project/prover-client/src/block-factory/light.test.ts index 38468b4ea120..838480e3f854 100644 --- a/yarn-project/prover-client/src/block-factory/light.test.ts +++ b/yarn-project/prover-client/src/block-factory/light.test.ts @@ -1,5 +1,5 @@ import { TestCircuitProver } from '@aztec/bb-prover'; -import { Blob, SpongeBlob } from '@aztec/blob-lib'; +import { BatchedBlob, Blob, SpongeBlob } from '@aztec/blob-lib'; import { BLOBS_PER_BLOCK, FIELDS_PER_BLOB, @@ -12,8 +12,7 @@ import { TUBE_VK_INDEX, } from '@aztec/constants'; import { padArrayEnd, times, timesParallel } from '@aztec/foundation/collection'; -import { sha256ToField } from '@aztec/foundation/crypto'; -import { Fr } from '@aztec/foundation/fields'; +import { BLS12Point, Fr } from '@aztec/foundation/fields'; import { type Tuple, assertLength } from '@aztec/foundation/serialize'; import { ProtocolCircuitVkIndexes, ProtocolCircuitVks, TubeVk } from '@aztec/noir-protocol-circuits-types/server/vks'; import type { ProtocolArtifact } from '@aztec/noir-protocol-circuits-types/types'; @@ -55,6 +54,7 @@ import { jest } from '@jest/globals'; import { buildHeaderFromCircuitOutputs, + getBlobsHashFromBlobs, getLastSiblingPath, getRootTreeSiblingPath, getSubtreeSiblingPath, @@ -225,6 +225,8 @@ describe('LightBlockBuilder', () => { return block.header; }; + let blobsHash: Buffer; + // Builds the block header using circuit outputs // Requires a callback for manually assembling the merge rollup tree const buildExpectedHeader = async ( @@ -251,7 +253,13 @@ describe('LightBlockBuilder', () => { ); const endState = new StateReference(messageTreeSnapshot, partialState); - const expectedHeader = buildHeaderFromCircuitOutputs(previousRollups, parityOutput, rootOutput, endState); + const expectedHeader = buildHeaderFromCircuitOutputs( + previousRollups, + parityOutput, + rootOutput, + blobsHash, + endState, + ); // Ensure that the expected mana used is the sum of the txs' gas used const expectedManaUsed = txs.reduce((acc, tx) => acc + tx.gasUsed.totalGas.l2Gas, 0); @@ -344,7 +352,8 @@ describe('LightBlockBuilder', () => { const newArchiveSiblingPath = await getRootTreeSiblingPath(MerkleTreeId.ARCHIVE, expectsFork); const blobFields = txs.map(tx => tx.txEffect.toBlobFields()).flat(); const blobs = await Blob.getBlobs(blobFields); - const blobsHash = sha256ToField(blobs.map(b => b.getEthVersionedBlobHash())); + const startBlobAccumulator = await BatchedBlob.newAccumulator(blobs); + blobsHash = getBlobsHashFromBlobs(blobs); const rootParityVk = getVkData('RootParityArtifact'); const rootParityInput = new RootParityInput( @@ -362,6 +371,8 @@ describe('LightBlockBuilder', () => { previousArchiveSiblingPath, newArchiveSiblingPath, previousBlockHeader, + startBlobAccumulator: startBlobAccumulator.toBlobAccumulatorPublicInputs(), + finalBlobChallenges: startBlobAccumulator.finalBlobChallenges, proverId: Fr.ZERO, }); @@ -382,11 +393,11 @@ describe('LightBlockBuilder', () => { const blobData = BlockRootRollupBlobData.from({ blobFields: padArrayEnd(blobFields, Fr.ZERO, FIELDS_PER_BLOB * BLOBS_PER_BLOCK), blobCommitments: padArrayEnd( - blobs.map(b => b.commitmentToFields()), - [Fr.ZERO, Fr.ZERO], + blobs.map(b => BLS12Point.decompress(b.commitment)), + BLS12Point.ZERO, BLOBS_PER_BLOCK, ), - blobsHash, + blobsHash: new Fr(blobsHash), }); if (previousRollupData.length === 1) { diff --git a/yarn-project/prover-client/src/mocks/test_context.ts b/yarn-project/prover-client/src/mocks/test_context.ts index aad0c397dc17..22b2b06e7c11 100644 --- a/yarn-project/prover-client/src/mocks/test_context.ts +++ b/yarn-project/prover-client/src/mocks/test_context.ts @@ -137,6 +137,10 @@ export class TestContext { return blockNumber === 0 ? this.worldState.getCommitted().getInitialHeader() : this.headers.get(blockNumber); } + public setBlockHeader(header: BlockHeader, blockNumber: number) { + this.headers.set(blockNumber, header); + } + public getPreviousBlockHeader(currentBlockNumber = this.blockNumber): BlockHeader { return this.getBlockHeader(currentBlockNumber - 1)!; } diff --git a/yarn-project/prover-client/src/orchestrator/block-building-helpers.ts b/yarn-project/prover-client/src/orchestrator/block-building-helpers.ts index 643afab151f2..8bfbd6928725 100644 --- a/yarn-project/prover-client/src/orchestrator/block-building-helpers.ts +++ b/yarn-project/prover-client/src/orchestrator/block-building-helpers.ts @@ -1,4 +1,4 @@ -import { Blob, type SpongeBlob } from '@aztec/blob-lib'; +import { BatchedBlobAccumulator, Blob, type SpongeBlob } from '@aztec/blob-lib'; import { ARCHIVE_HEIGHT, MAX_CONTRACT_CLASS_LOGS_PER_TX, @@ -15,7 +15,7 @@ import { import { makeTuple } from '@aztec/foundation/array'; import { padArrayEnd } from '@aztec/foundation/collection'; import { sha256Trunc } from '@aztec/foundation/crypto'; -import { Fr } from '@aztec/foundation/fields'; +import { BLS12Point, Fr } from '@aztec/foundation/fields'; import { type Tuple, assertLength, serializeToBuffer, toFriendlyJSON } from '@aztec/foundation/serialize'; import { MembershipWitness, MerkleTreeCalculator, computeUnbalancedMerkleRoot } from '@aztec/foundation/trees'; import { getVKTreeRoot } from '@aztec/noir-protocol-circuits-types/vk-tree'; @@ -243,12 +243,28 @@ export const buildBlobHints = runInSpan( async (_span: Span, txEffects: TxEffect[]) => { const blobFields = txEffects.flatMap(tx => tx.toBlobFields()); const blobs = await Blob.getBlobs(blobFields); - const blobCommitments = blobs.map(b => b.commitmentToFields()); + // TODO(#13430): The blobsHash is confusingly similar to blobCommitmentsHash, calculated from below blobCommitments: + // - blobsHash := sha256([blobhash_0, ..., blobhash_m]) = a hash of all blob hashes in a block with m+1 blobs inserted into the header, exists so a user can cross check blobs. + // - blobCommitmentsHash := sha256( ...sha256(sha256(C_0), C_1) ... C_n) = iteratively calculated hash of all blob commitments in an epoch with n+1 blobs (see calculateBlobCommitmentsHash()), + // exists so we can validate injected commitments to the rollup circuits correspond to the correct real blobs. + // We may be able to combine these values e.g. blobCommitmentsHash := sha256( ...sha256(sha256(blobshash_0), blobshash_1) ... blobshash_l) for an epoch with l+1 blocks. + const blobCommitments = blobs.map(b => BLS12Point.decompress(b.commitment)); const blobsHash = new Fr(getBlobsHashFromBlobs(blobs)); return { blobFields, blobCommitments, blobs, blobsHash }; }, ); +export const accumulateBlobs = runInSpan( + 'BlockBuilderHelpers', + 'accumulateBlobs', + async (_span: Span, txs: ProcessedTx[], startBlobAccumulator: BatchedBlobAccumulator) => { + const blobFields = txs.flatMap(tx => tx.txEffect.toBlobFields()); + const blobs = await Blob.getBlobs(blobFields); + const endBlobAccumulator = startBlobAccumulator.accumulateBlobs(blobs); + return endBlobAccumulator; + }, +); + export const buildHeaderFromCircuitOutputs = runInSpan( 'BlockBuilderHelpers', 'buildHeaderFromCircuitOutputs', @@ -257,13 +273,13 @@ export const buildHeaderFromCircuitOutputs = runInSpan( previousRollupData: BaseOrMergeRollupPublicInputs[], parityPublicInputs: ParityPublicInputs, rootRollupOutputs: BlockRootOrBlockMergePublicInputs, + blobsHash: Buffer, endState: StateReference, ) => { if (previousRollupData.length > 2) { throw new Error(`There can't be more than 2 previous rollups. Received ${previousRollupData.length}.`); } - const blobsHash = rootRollupOutputs.blobPublicInputs[0].getBlobsHash(); const numTxs = previousRollupData.reduce((sum, d) => sum + d.numTxs, 0); const outHash = previousRollupData.length === 0 @@ -359,6 +375,7 @@ export function getBlobsHashFromBlobs(inputs: Blob[]): Buffer { } // Validate that the roots of all local trees match the output of the root circuit simulation +// TODO: does this get called? export async function validateBlockRootOutput( blockRootOutput: BlockRootOrBlockMergePublicInputs, blockHeader: BlockHeader, diff --git a/yarn-project/prover-client/src/orchestrator/block-proving-state.ts b/yarn-project/prover-client/src/orchestrator/block-proving-state.ts index 8dab72b970bd..3f0aa9eb10ee 100644 --- a/yarn-project/prover-client/src/orchestrator/block-proving-state.ts +++ b/yarn-project/prover-client/src/orchestrator/block-proving-state.ts @@ -1,4 +1,4 @@ -import { SpongeBlob } from '@aztec/blob-lib'; +import { BatchedBlobAccumulator, SpongeBlob } from '@aztec/blob-lib'; import { type ARCHIVE_HEIGHT, BLOBS_PER_BLOCK, @@ -9,7 +9,7 @@ import { type RECURSIVE_PROOF_LENGTH, } from '@aztec/constants'; import { padArrayEnd } from '@aztec/foundation/collection'; -import { Fr } from '@aztec/foundation/fields'; +import { BLS12Point, Fr } from '@aztec/foundation/fields'; import type { Tuple } from '@aztec/foundation/serialize'; import { type TreeNodeLocation, UnbalancedTreeStore } from '@aztec/foundation/trees'; import { getVKIndex, getVKSiblingPath, getVKTreeRoot } from '@aztec/noir-protocol-circuits-types/vk-tree'; @@ -34,7 +34,7 @@ import type { AppendOnlyTreeSnapshot, MerkleTreeId } from '@aztec/stdlib/trees'; import { type BlockHeader, type GlobalVariables, StateReference } from '@aztec/stdlib/tx'; import { VkData } from '@aztec/stdlib/vks'; -import { buildBlobHints, buildHeaderFromCircuitOutputs } from './block-building-helpers.js'; +import { accumulateBlobs, buildBlobHints, buildHeaderFromCircuitOutputs } from './block-building-helpers.js'; import type { EpochProvingState } from './epoch-proving-state.js'; import type { TxProvingState } from './tx-proving-state.js'; @@ -56,6 +56,9 @@ export class BlockProvingState { public blockRootRollupStarted: boolean = false; public block: L2Block | undefined; public spongeBlobState: SpongeBlob | undefined; + public startBlobAccumulator: BatchedBlobAccumulator | undefined; + public endBlobAccumulator: BatchedBlobAccumulator | undefined; + public blobsHash: Buffer | undefined; public totalNumTxs: number; private txs: TxProvingState[] = []; public error: string | undefined; @@ -74,6 +77,9 @@ export class BlockProvingState { ) { this.baseParityProvingOutputs = Array.from({ length: NUM_BASE_PARITY_PER_ROOT_PARITY }).map(_ => undefined); this.totalNumTxs = 0; + if (this.blockNumber == parentEpoch.firstBlockNumber) { + this.startBlobAccumulator = BatchedBlobAccumulator.newWithChallenges(parentEpoch.finalBlobBatchingChallenges); + } } public get blockNumber() { @@ -97,7 +103,6 @@ export class BlockProvingState { if (!this.spongeBlobState) { throw new Error(`Invalid block proving state, call startNewBlock before adding transactions.`); } - const txIndex = this.txs.length; this.txs[txIndex] = tx; return txIndex; @@ -146,6 +151,30 @@ export class BlockProvingState { this.blockRootProvingOutput = provingOutput; } + public setBlock(block: L2Block) { + this.block = block; + } + + public setStartBlobAccumulator(accumulator: BatchedBlobAccumulator) { + this.startBlobAccumulator = accumulator; + } + + public setEndBlobAccumulator(accumulator: BatchedBlobAccumulator) { + this.endBlobAccumulator = accumulator; + } + + public async accumulateBlobs() { + if (!this.block || !this.startBlobAccumulator) { + // We only want to accumulate once we have all txs, so we wait until the block is set. + return; + } + const endBlobAccumulator = await accumulateBlobs( + this.allTxs.map(t => t.processedTx), + this.startBlobAccumulator, + ); + this.setEndBlobAccumulator(endBlobAccumulator); + } + // Returns the complete set of transaction proving state objects public get allTxs() { return this.txs; @@ -202,6 +231,7 @@ export class BlockProvingState { const previousRollupData = await Promise.all(nonEmptyProofs.map(p => this.#getPreviousRollupData(p!))); const blobData = await this.#getBlockRootRollupBlobData(); + this.blobsHash = blobData.blobsHash.toBuffer(); if (previousRollupData.length === 1) { return { @@ -225,6 +255,10 @@ export class BlockProvingState { throw new Error('Root parity is not ready.'); } + if (!this.blockRootProvingOutput || !this.endBlobAccumulator) { + throw new Error('Block root not ready for padding.'); + } + // Use the new block header and archive of the current block as the previous header and archiver of the next padding block. const newBlockHeader = await this.buildHeaderFromProvingOutputs(); const newArchive = this.blockRootProvingOutput!.inputs.newArchive; @@ -235,6 +269,8 @@ export class BlockProvingState { previousArchiveSiblingPath: this.lastArchiveSiblingPath, newArchiveSiblingPath: this.newArchiveSiblingPath, previousBlockHeader: newBlockHeader, + startBlobAccumulator: this.endBlobAccumulator.toBlobAccumulatorPublicInputs(), + finalBlobChallenges: this.endBlobAccumulator.finalBlobChallenges, proverId, }); @@ -285,10 +321,18 @@ export class BlockProvingState { } const endState = new StateReference(this.l1ToL2MessageTreeSnapshotAfterInsertion, endPartialState); + // TODO(MW): cleanup + if (!this.blobsHash) { + this.blobsHash = ( + await buildBlobHints(this.txs.map(txProvingState => txProvingState.processedTx.txEffect)) + ).blobsHash.toBuffer(); + } + return buildHeaderFromCircuitOutputs( previousRollupData.map(d => d.baseOrMergeRollupPublicInputs), this.rootParityProvingOutput!.inputs, this.blockRootProvingOutput!.inputs, + this.blobsHash, endState, ); } @@ -300,7 +344,12 @@ export class BlockProvingState { // Returns true if we have sufficient inputs to execute the block root rollup public isReadyForBlockRootRollup() { const childProofs = this.#getChildProofsForBlockRoot(); - return this.block !== undefined && this.rootParityProvingOutput !== undefined && childProofs.every(p => !!p); + return ( + this.block !== undefined && + this.rootParityProvingOutput !== undefined && + this.endBlobAccumulator !== undefined && + childProofs.every(p => !!p) + ); } // Returns true if we have sufficient root parity inputs to execute the root parity circuit @@ -329,6 +378,8 @@ export class BlockProvingState { previousArchiveSiblingPath: this.lastArchiveSiblingPath, newArchiveSiblingPath: this.newArchiveSiblingPath, previousBlockHeader: this.previousBlockHeader, + startBlobAccumulator: this.startBlobAccumulator!.toBlobAccumulatorPublicInputs(), + finalBlobChallenges: this.startBlobAccumulator!.finalBlobChallenges, proverId, }); } @@ -338,7 +389,7 @@ export class BlockProvingState { const { blobFields, blobCommitments, blobsHash } = await buildBlobHints(txEffects); return BlockRootRollupBlobData.from({ blobFields: padArrayEnd(blobFields, Fr.ZERO, FIELDS_PER_BLOB * BLOBS_PER_BLOCK), - blobCommitments: padArrayEnd(blobCommitments, [Fr.ZERO, Fr.ZERO], BLOBS_PER_BLOCK), + blobCommitments: padArrayEnd(blobCommitments, BLS12Point.ZERO, BLOBS_PER_BLOCK), blobsHash, }); } diff --git a/yarn-project/prover-client/src/orchestrator/block_building_helpers.test.ts b/yarn-project/prover-client/src/orchestrator/block_building_helpers.test.ts index a9896c8d6845..d55a1adcc1d8 100644 --- a/yarn-project/prover-client/src/orchestrator/block_building_helpers.test.ts +++ b/yarn-project/prover-client/src/orchestrator/block_building_helpers.test.ts @@ -1,5 +1,4 @@ -import { BlobPublicInputs } from '@aztec/blob-lib'; -import { Fr } from '@aztec/foundation/fields'; +import { BLS12Point, Fr } from '@aztec/foundation/fields'; import { updateInlineTestData } from '@aztec/foundation/testing/files'; import { TxEffect, TxHash } from '@aztec/stdlib/tx'; @@ -16,24 +15,28 @@ describe('buildBlobHints', () => { expect(blobFields).toEqual([]); expect(blobCommitments.length).toBe(1); - const blobCommitmentStr = fieldArrToStr(blobCommitments[0]); - expect(blobCommitmentStr).toMatchInlineSnapshot( - `"[0x00c0000000000000000000000000000000000000000000000000000000000000, 0]"`, - ); + const blobCommitmentStr = blobCommitments[0].compress().toString('hex'); + expect(blobCommitmentStr).toEqual(BLS12Point.COMPRESSED_ZERO.toString('hex')); const blobsHashStr = blobsHash.toString(); expect(blobsHashStr).toMatchInlineSnapshot(`"0x001cedbd7ea5309ef9d1d159209835409bf41b6b1802597a52fa70cc82e934d9"`); - const publicInputs = BlobPublicInputs.fromBlob(blobs[0]); - expect(publicInputs.y).toBe(0n); - const zStr = publicInputs.z.toString(); + expect(blobs.length).toBe(1); + expect(blobs[0].evaluationY).toEqual(Buffer.alloc(32)); + const zStr = blobs[0].challengeZ.toString(); expect(zStr).toMatchInlineSnapshot(`"0x0ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb"`); + // TODO(MW): add conversion when public inputs finalised + const blobCommitmentsFields = [ + new Fr(blobCommitments[0].compress().subarray(0, 31)), + new Fr(blobCommitments[0].compress().subarray(31, 48)), + ]; + // Run with AZTEC_GENERATE_TEST_DATA=1 to update noir test data. updateInlineTestData( 'noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/empty_block_root_rollup_inputs.nr', - 'expected_empty_effect_blob_commitment', - blobCommitmentStr, + 'expected_empty_effect_blob_commitment_fields', + fieldArrToStr(blobCommitmentsFields), ); updateInlineTestData( 'noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/empty_block_root_rollup_inputs.nr', @@ -62,21 +65,27 @@ describe('buildBlobHints', () => { expect(blobFields.length).toBe(5 + 7); expect(blobCommitments.length).toBe(1); - const blobCommitmentStr = fieldArrToStr(blobCommitments[0]); + const blobCommitmentStr = blobCommitments[0].compress().toString('hex'); expect(blobCommitmentStr).toMatchInlineSnapshot( - `"[0x008c32fe581c8fdba12c0d7597911dead2d937d68525bae655508412bb53bb98, 0x0000000000000000000000000000006aaa0680f21270e7d8de4e19da5164f95c]"`, + `"8c32fe581c8fdba12c0d7597911dead2d937d68525bae655508412bb53bb986aaa0680f21270e7d8de4e19da5164f95c"`, ); const blobsHashStr = blobsHash.toString(); expect(blobsHashStr).toMatchInlineSnapshot(`"0x00a965619c8668b834755678b32d023b9c5e8588ce449f44f7fa9335455b5cc5"`); - const publicInputs = BlobPublicInputs.fromBlob(blobs[0]); - expect(publicInputs.y).toMatchInlineSnapshot( - `17179655213294173540446545222866729565951946174336496855332549059993428157821n`, + expect(blobs.length).toBe(1); + expect(blobs[0].evaluationY.toString('hex')).toMatchInlineSnapshot( + `"25fb571bd6a15d4e3a8f6fe199b714c51e1e03ef40366e2e77e5c5733ab9e57d"`, ); - const zStr = publicInputs.z.toString(); + const zStr = blobs[0].challengeZ.toString(); expect(zStr).toMatchInlineSnapshot(`"0x1f92b871671f27a378d23f1cef10fbd8f0d90dd7172da9e3c3fc1aa745a072c3"`); + // TODO(MW): add conversion when public inputs finalised + const blobCommitmentsFields = [ + new Fr(blobCommitments[0].compress().subarray(0, 31)), + new Fr(blobCommitments[0].compress().subarray(31, 48)), + ]; + // Run with AZTEC_GENERATE_TEST_DATA=1 to update noir test data. updateInlineTestData( 'noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr', @@ -90,17 +99,12 @@ describe('buildBlobHints', () => { ); updateInlineTestData( 'noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr', - 'expected_blobs_hash', - blobsHashStr, - ); - updateInlineTestData( - 'noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr', - 'expected_blob_commitment', - blobCommitmentStr, + 'expected_blob_commitment_fields_fixture', + fieldArrToStr(blobCommitmentsFields), ); updateInlineTestData( 'noir-projects/noir-protocol-circuits/crates/rollup-lib/src/block_root/block_root_rollup_inputs.nr', - 'expected_challenge_z', + 'expected_challenge_z_fixture', zStr, ); }); diff --git a/yarn-project/prover-client/src/orchestrator/epoch-proving-state.ts b/yarn-project/prover-client/src/orchestrator/epoch-proving-state.ts index 685128745d3a..9bcc55f67ca9 100644 --- a/yarn-project/prover-client/src/orchestrator/epoch-proving-state.ts +++ b/yarn-project/prover-client/src/orchestrator/epoch-proving-state.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, type FinalBlobBatchingChallenges } from '@aztec/blob-lib'; import type { ARCHIVE_HEIGHT, L1_TO_L2_MSG_SUBTREE_SIBLING_PATH_LENGTH, @@ -48,6 +49,7 @@ export class EpochProvingState { | PublicInputsAndRecursiveProof | undefined; private rootRollupProvingOutput: PublicInputsAndRecursiveProof | undefined; + private finalBatchedBlob: BatchedBlob | undefined; private provingStateLifecycle = PROVING_STATE_LIFECYCLE.PROVING_STATE_CREATED; // Map from tx hash to tube proof promise. Used when kickstarting tube proofs before tx processing. @@ -59,6 +61,7 @@ export class EpochProvingState { public readonly epochNumber: number, public readonly firstBlockNumber: number, public readonly totalNumBlocks: number, + public readonly finalBlobBatchingChallenges: FinalBlobBatchingChallenges, private completionCallback: (result: ProvingResult) => void, private rejectionCallback: (reason: string) => void, ) { @@ -143,6 +146,31 @@ export class EpochProvingState { this.paddingBlockRootProvingOutput = proof; } + public setFinalBatchedBlob(batchedBlob: BatchedBlob) { + this.finalBatchedBlob = batchedBlob; + } + + public async setBlobAccumulators(toBlock?: number) { + let previousAccumulator; + const end = toBlock ? toBlock - this.firstBlockNumber : this.blocks.length; + // Accumulate blobs as far as we can for this epoch. + for (let i = 0; i <= end; i++) { + const block = this.blocks[i]; + if (!block || !block.block) { + // If the block proving state does not have a .block property, it may be awaiting more txs. + break; + } + if (!block.startBlobAccumulator) { + // startBlobAccumulator always exists for firstBlockNumber, so the below should never assign an undefined: + block.setStartBlobAccumulator(previousAccumulator!); + } + if (block.startBlobAccumulator && !block.endBlobAccumulator) { + await block.accumulateBlobs(); + } + previousAccumulator = block.endBlobAccumulator; + } + } + public getParentLocation(location: TreeNodeLocation) { return this.blockRootOrMergeProvingOutputs.getParentLocation(location); } @@ -181,14 +209,15 @@ export class EpochProvingState { return this.blocks.find(block => block?.blockNumber === blockNumber); } - public getEpochProofResult(): { proof: Proof; publicInputs: RootRollupPublicInputs } { - if (!this.rootRollupProvingOutput) { + public getEpochProofResult(): { proof: Proof; publicInputs: RootRollupPublicInputs; batchedBlobInputs: BatchedBlob } { + if (!this.rootRollupProvingOutput || !this.finalBatchedBlob) { throw new Error('Unable to get epoch proof result. Root rollup is not ready.'); } return { proof: this.rootRollupProvingOutput.proof.binaryProof, publicInputs: this.rootRollupProvingOutput.inputs, + batchedBlobInputs: this.finalBatchedBlob, }; } diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator.ts b/yarn-project/prover-client/src/orchestrator/orchestrator.ts index 654b06b423ab..6e42569a861b 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator.ts @@ -1,3 +1,4 @@ +import { FinalBlobBatchingChallenges } from '@aztec/blob-lib'; import { L1_TO_L2_MSG_SUBTREE_HEIGHT, L1_TO_L2_MSG_SUBTREE_SIBLING_PATH_LENGTH, @@ -107,14 +108,26 @@ export class ProvingOrchestrator implements EpochProver { return Promise.resolve(); } - public startNewEpoch(epochNumber: number, firstBlockNumber: number, totalNumBlocks: number) { + public startNewEpoch( + epochNumber: number, + firstBlockNumber: number, + totalNumBlocks: number, + finalBlobBatchingChallenges: FinalBlobBatchingChallenges, + ) { const { promise: _promise, resolve, reject } = promiseWithResolvers(); const promise = _promise.catch((reason): ProvingResult => ({ status: 'failure', reason })); if (totalNumBlocks <= 0 || !Number.isInteger(totalNumBlocks)) { throw new Error(`Invalid number of blocks for epoch (got ${totalNumBlocks})`); } logger.info(`Starting epoch ${epochNumber} with ${totalNumBlocks} blocks`); - this.provingState = new EpochProvingState(epochNumber, firstBlockNumber, totalNumBlocks, resolve, reject); + this.provingState = new EpochProvingState( + epochNumber, + firstBlockNumber, + totalNumBlocks, + finalBlobBatchingChallenges, + resolve, + reject, + ); this.provingPromise = promise; } @@ -272,6 +285,9 @@ export class ProvingOrchestrator implements EpochProver { logger.verbose(`Block ${blockNumber} completed. Assembling header.`); await this.buildBlock(provingState, expectedHeader); + logger.debug(`Accumulating blobs for ${blockNumber}`); + await this.provingState?.setBlobAccumulators(blockNumber); + // If the proofs were faster than the block building, then we need to try the block root rollup again here await this.checkAndEnqueueBlockRootRollup(provingState); return provingState.block!; @@ -319,7 +335,7 @@ export class ProvingOrchestrator implements EpochProver { await this.verifyBuiltBlockAgainstSyncedState(l2Block, newArchive); logger.verbose(`Orchestrator finalised block ${l2Block.number}`); - provingState.block = l2Block; + provingState.setBlock(l2Block); } // Flagged as protected to disable in certain unit tests @@ -358,6 +374,15 @@ export class ProvingOrchestrator implements EpochProver { throw new Error(`Epoch proving failed: ${result.reason}`); } + // TODO(MW): Move this? Requires async and don't want to force root methods to be async + // TODO(MW): EpochProvingState uses this.blocks.filter(b => !!b).length as total blocks, use this below: + const finalBlock = this.provingState.blocks[this.provingState.totalNumBlocks - 1]; + if (!finalBlock || !finalBlock.endBlobAccumulator) { + throw new Error(`Epoch's final block not ready for finalise`); + } + const finalBatchedBlob = await finalBlock.endBlobAccumulator.finalize(); + this.provingState.setFinalBatchedBlob(finalBatchedBlob); + const epochProofResult = this.provingState.getEpochProofResult(); pushTestData('epochProofResult', { @@ -687,6 +712,17 @@ export class ProvingOrchestrator implements EpochProver { provingState.reject(`New archive root mismatch.`); } + const endBlobAccumulator = provingState.endBlobAccumulator!; + const circuitEndBlobAccumulatorState = result.inputs.blobPublicInputs.endBlobAccumulator; + if (!circuitEndBlobAccumulatorState.equals(endBlobAccumulator.toBlobAccumulatorPublicInputs())) { + logger.error( + `Blob accumulator state mismatch.\nCircuit: ${inspect(circuitEndBlobAccumulatorState)}\nComputed: ${inspect( + endBlobAccumulator.toBlobAccumulatorPublicInputs(), + )}`, + ); + provingState.reject(`Blob accumulator state mismatch.`); + } + logger.debug(`Completed ${rollupType} proof for block ${provingState.block!.number}`); // validatePartialState(result.inputs.end, tx.treeSnapshots); // TODO(palla/prover) @@ -770,7 +806,6 @@ export class ProvingOrchestrator implements EpochProver { } const inputs = provingState.getBlockMergeRollupInputs(location); - this.deferredProving( provingState, wrapCallbackInSpan( @@ -859,15 +894,17 @@ export class ProvingOrchestrator implements EpochProver { } private async checkAndEnqueueBlockRootRollup(provingState: BlockProvingState) { + const blockNumber = provingState.blockNumber; + // Accumulate as far as we can, in case blocks came in out of order and we are behind: + await this.provingState?.setBlobAccumulators(blockNumber); if (!provingState.isReadyForBlockRootRollup()) { - logger.debug('Not ready for root rollup'); + logger.debug('Not ready for block root rollup'); return; } if (provingState.blockRootRollupStarted) { logger.debug('Block root rollup already started'); return; } - const blockNumber = provingState.blockNumber; // TODO(palla/prover): This closes the fork only on the happy path. If this epoch orchestrator // is aborted and never reaches this point, it will leak the fork. We need to add a global cleanup, diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_errors.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_errors.test.ts index a672aad9be56..1eac774526fa 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_errors.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_errors.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob, FinalBlobBatchingChallenges } from '@aztec/blob-lib'; import { timesParallel } from '@aztec/foundation/collection'; import { Fr } from '@aztec/foundation/fields'; import { createLogger } from '@aztec/foundation/log'; @@ -10,10 +11,12 @@ const logger = createLogger('prover-client:test:orchestrator-errors'); describe('prover/orchestrator/errors', () => { let context: TestContext; let orchestrator: ProvingOrchestrator; + let emptyChallenges: FinalBlobBatchingChallenges; beforeEach(async () => { context = await TestContext.new(logger); orchestrator = context.orchestrator; + emptyChallenges = await BatchedBlob.precomputeEmptyBatchedBlobChallenges(); }); afterEach(async () => { @@ -26,8 +29,10 @@ describe('prover/orchestrator/errors', () => { it('throws if adding too many transactions', async () => { const txs = await timesParallel(4, i => context.makeProcessedTx(i + 1)); await context.setTreeRoots(txs); + const blobs = await Blob.getBlobs(txs.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); - orchestrator.startNewEpoch(1, 1, 1); + orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); await orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); await orchestrator.addTxs(txs); @@ -41,7 +46,7 @@ describe('prover/orchestrator/errors', () => { }); it('throws if adding too many blocks', async () => { - orchestrator.startNewEpoch(1, 1, 1); + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); await orchestrator.setBlockCompleted(context.blockNumber); @@ -57,21 +62,21 @@ describe('prover/orchestrator/errors', () => { }); it('throws if adding a transaction before starting block', async () => { - orchestrator.startNewEpoch(1, 1, 1); + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await expect(async () => await orchestrator.addTxs([await context.makeProcessedTx()])).rejects.toThrow( /Block proving state for 1 not found/, ); }); it('throws if completing a block before start', async () => { - orchestrator.startNewEpoch(1, 1, 1); + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await expect(async () => await orchestrator.setBlockCompleted(context.blockNumber)).rejects.toThrow( /Block proving state for 1 not found/, ); }); it('throws if adding to a cancelled block', async () => { - orchestrator.startNewEpoch(1, 1, 1); + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); orchestrator.cancel(); @@ -81,15 +86,15 @@ describe('prover/orchestrator/errors', () => { }); it.each([[-4], [0], [8.1]] as const)('fails to start an epoch with %i blocks', (epochSize: number) => { - orchestrator.startNewEpoch(1, 1, 1); - expect(() => orchestrator.startNewEpoch(1, 1, epochSize)).toThrow( + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); + expect(() => orchestrator.startNewEpoch(1, 1, epochSize, emptyChallenges)).toThrow( `Invalid number of blocks for epoch (got ${epochSize})`, ); }); it('rejects if too many l1 to l2 messages are provided', async () => { const l1ToL2Messages = new Array(100).fill(new Fr(0n)); - orchestrator.startNewEpoch(1, 1, 1); + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await expect( async () => await orchestrator.startNewBlock(context.globalVariables, l1ToL2Messages, context.getPreviousBlockHeader()), diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_failures.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_failures.test.ts index d235e2efaffd..ad4058082758 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_failures.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_failures.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { timesAsync } from '@aztec/foundation/collection'; import { createLogger } from '@aztec/foundation/log'; import type { ServerCircuitProver } from '@aztec/stdlib/interfaces/server'; @@ -33,7 +34,10 @@ describe('prover/orchestrator/failures', () => { // We generate them and add them as part of the pending chain const blocks = await timesAsync(3, i => context.makePendingBlock(3, 1, i + 1, j => ({ privateOnly: j === 1 }))); - orchestrator.startNewEpoch(1, 1, 3); + const blobs = (await Promise.all(blocks.map(block => Blob.getBlobs(block.block.body.toBlobFields())))).flat(); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + + orchestrator.startNewEpoch(1, 1, 3, finalBlobChallenges); for (const { block, txs, msgs } of blocks) { // these operations could fail if the target circuit fails before adding all blocks or txs diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_lifecycle.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_lifecycle.test.ts index 3af8997caaad..d4c98cc22c01 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_lifecycle.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_lifecycle.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob } from '@aztec/blob-lib'; import { NUM_BASE_PARITY_PER_ROOT_PARITY } from '@aztec/constants'; import { Fr } from '@aztec/foundation/fields'; import { createLogger } from '@aztec/foundation/log'; @@ -38,8 +39,8 @@ describe('prover/orchestrator/lifecycle', () => { deferredPromises.push(deferred); return deferred.promise; }); - - orchestrator.startNewEpoch(1, 1, 1); + const emptyChallenges = await BatchedBlob.precomputeEmptyBatchedBlobChallenges(); + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); await sleep(1); diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_mixed_blocks.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_mixed_blocks.test.ts index d0ca585ce8f3..6fddb512af8e 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_mixed_blocks.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_mixed_blocks.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP } from '@aztec/constants'; import { range } from '@aztec/foundation/array'; import { timesParallel } from '@aztec/foundation/collection'; @@ -17,7 +18,10 @@ describe('prover/orchestrator/mixed-blocks', () => { const l1ToL2Messages = range(NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP, 1 + 0x400).map(fr); - context.orchestrator.startNewEpoch(1, 1, 1); + const blobs = await Blob.getBlobs(txs.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); await context.orchestrator.startNewBlock(context.globalVariables, l1ToL2Messages, context.getPreviousBlockHeader()); await context.orchestrator.addTxs(txs); diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_multi_public_functions.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_multi_public_functions.test.ts index 36e85a8aea5c..b4d8dc5c8426 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_multi_public_functions.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_multi_public_functions.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { DEPLOYER_CONTRACT_ADDRESS } from '@aztec/constants'; import { Fr } from '@aztec/foundation/fields'; import { createLogger } from '@aztec/foundation/log'; @@ -86,13 +87,15 @@ describe('prover/orchestrator/public-functions', () => { tx.data.constants.protocolContractTreeRoot = protocolContractTreeRoot; } - context.orchestrator.startNewEpoch(1, 1, 1); - await context.orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); - const [processed, failed] = await context.processPublicFunctions(txs, numTransactions); expect(processed.length).toBe(numTransactions); expect(failed.length).toBe(0); + const blobs = await Blob.getBlobs(processed.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); + await context.orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); + await context.orchestrator.addTxs(processed); const block = await context.orchestrator.setBlockCompleted(context.blockNumber); diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_multiple_blocks.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_multiple_blocks.test.ts index 3e2e1335888a..ae22bb774185 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_multiple_blocks.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_multiple_blocks.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { timesAsync } from '@aztec/foundation/collection'; import type { Fr } from '@aztec/foundation/fields'; import { createLogger } from '@aztec/foundation/log'; @@ -29,9 +30,11 @@ describe('prover/orchestrator/multi-block', () => { logger.info(`Seeding world state with ${numBlocks} blocks`); const txCount = 2; const blocks = await timesAsync(numBlocks, i => context.makePendingBlock(txCount, 0, i + 1)); + const blobs = (await Promise.all(blocks.map(block => Blob.getBlobs(block.block.body.toBlobFields())))).flat(); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); logger.info(`Starting new epoch with ${numBlocks}`); - context.orchestrator.startNewEpoch(1, 1, numBlocks); + context.orchestrator.startNewEpoch(1, 1, numBlocks, finalBlobChallenges); for (const { block, txs } of blocks) { await context.orchestrator.startNewBlock( block.header.globalVariables, @@ -54,9 +57,11 @@ describe('prover/orchestrator/multi-block', () => { logger.info(`Seeding world state with ${numBlocks} blocks`); const txCount = 2; const blocks = await timesAsync(numBlocks, i => context.makePendingBlock(txCount, 0, i + 1)); + const blobs = (await Promise.all(blocks.map(block => Blob.getBlobs(block.block.body.toBlobFields())))).flat(); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); logger.info(`Starting new epoch with ${numBlocks}`); - context.orchestrator.startNewEpoch(1, 1, numBlocks); + context.orchestrator.startNewEpoch(1, 1, numBlocks, finalBlobChallenges); await Promise.all( blocks.map(async ({ block, txs }) => { await context.orchestrator.startNewBlock( @@ -83,9 +88,11 @@ describe('prover/orchestrator/multi-block', () => { logger.info(`Seeding world state with ${numBlocks} blocks`); const txCount = 2; const blocks = await timesAsync(numBlocks, i => context.makePendingBlock(txCount, 0, i + 1)); + const blobs = (await Promise.all(blocks.map(block => Blob.getBlobs(block.block.body.toBlobFields())))).flat(); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); logger.info(`Starting new epoch with ${numBlocks}`); - context.orchestrator.startNewEpoch(1, 1, numBlocks); + context.orchestrator.startNewEpoch(1, 1, numBlocks, finalBlobChallenges); await Promise.all( blocks.map(async ({ block, txs }) => { await context.orchestrator.startNewBlock( @@ -117,10 +124,19 @@ describe('prover/orchestrator/multi-block', () => { for (let epochIndex = 0; epochIndex < numEpochs; epochIndex++) { logger.info(`Starting epoch ${epochIndex + 1} with ${numBlocks} blocks`); - context.orchestrator.startNewEpoch(epochIndex + 1, epochIndex * numBlocks + 1, numBlocks); - const blockInEpoch = blocks.slice(epochIndex * numBlocks, (epochIndex + 1) * numBlocks); + const blocksInEpoch = blocks.slice(epochIndex * numBlocks, (epochIndex + 1) * numBlocks); + const blobs = ( + await Promise.all(blocksInEpoch.map(block => Blob.getBlobs(block.block.body.toBlobFields()))) + ).flat(); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + context.orchestrator.startNewEpoch( + epochIndex + 1, + epochIndex * numBlocks + 1, + numBlocks, + finalBlobChallenges, + ); await Promise.all( - blockInEpoch.map(async ({ block, txs }) => { + blocksInEpoch.map(async ({ block, txs }) => { await context.orchestrator.startNewBlock( block.header.globalVariables, [], @@ -136,7 +152,7 @@ describe('prover/orchestrator/multi-block', () => { const numProposedBlocks = countProposedBlocks(epoch.publicInputs.proposedBlockHeaderHashes); expect(numProposedBlocks).toEqual(numBlocks); expect(epoch.publicInputs.proposedBlockHeaderHashes.slice(0, numProposedBlocks)).toEqual( - blockInEpoch.map(b => b.block.header.toPropose().hash()), + blocksInEpoch.map(b => b.block.header.toPropose().hash()), ); expect(epoch.proof).toBeDefined(); } diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_public_functions.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_public_functions.test.ts index d42ff5cb59e1..b1397f01eef7 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_public_functions.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_public_functions.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { createLogger } from '@aztec/foundation/log'; import { getTestData, isGenerateTestDataEnabled } from '@aztec/foundation/testing'; import { updateProtocolCircuitSampleInputs } from '@aztec/foundation/testing/files'; @@ -38,9 +39,11 @@ describe('prover/orchestrator/public-functions', () => { // Since this TX is mocked/garbage, it will revert because it calls a non-existent contract, // but it reverts in app logic so it can still be included. const [processed, _] = await context.processPublicFunctions([tx], 1); + const blobs = await Blob.getBlobs(processed.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); // This will need to be a 2 tx block - context.orchestrator.startNewEpoch(1, 1, 1); + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); await context.orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); await context.orchestrator.addTxs(processed); @@ -63,7 +66,9 @@ describe('prover/orchestrator/public-functions', () => { tx.data.constants.protocolContractTreeRoot = protocolContractTreeRoot; const [processed, _] = await context.processPublicFunctions([tx], 1); - context.orchestrator.startNewEpoch(1, 1, 1); + const blobs = await Blob.getBlobs(processed.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); await context.orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); await context.orchestrator.addTxs(processed); await context.orchestrator.setBlockCompleted(context.blockNumber); diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_single_blocks.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_single_blocks.test.ts index 489f39810488..c3e6c7422612 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_single_blocks.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_single_blocks.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP } from '@aztec/constants'; import { range } from '@aztec/foundation/array'; import { timesParallel } from '@aztec/foundation/collection'; @@ -21,7 +22,7 @@ describe('prover/orchestrator/blocks', () => { describe('blocks', () => { it('builds an empty L2 block', async () => { - context.orchestrator.startNewEpoch(1, 1, 1); + context.orchestrator.startNewEpoch(1, 1, 1, await BatchedBlob.precomputeEmptyBatchedBlobChallenges()); await context.orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); const block = await context.orchestrator.setBlockCompleted(context.blockNumber); @@ -33,8 +34,12 @@ describe('prover/orchestrator/blocks', () => { const txs = [await context.makeProcessedTx(1)]; await context.setTreeRoots(txs); + const blobFields = txs.map(tx => tx.txEffect.toBlobFields()).flat(); + const blobs = await Blob.getBlobs(blobFields); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + // This will need to be a 2 tx block - context.orchestrator.startNewEpoch(1, 1, 1); + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); await context.orchestrator.startNewBlock(context.globalVariables, [], context.getPreviousBlockHeader()); await context.orchestrator.addTxs(txs); @@ -49,7 +54,11 @@ describe('prover/orchestrator/blocks', () => { await context.setTreeRoots(txs); const l1ToL2Messages = range(NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP, 1 + 0x400).map(fr); - context.orchestrator.startNewEpoch(1, 1, 1); + const blobFields = txs.map(tx => tx.txEffect.toBlobFields()).flat(); + const blobs = await Blob.getBlobs(blobFields); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); await context.orchestrator.startNewBlock( context.globalVariables, l1ToL2Messages, diff --git a/yarn-project/prover-client/src/orchestrator/orchestrator_workflow.test.ts b/yarn-project/prover-client/src/orchestrator/orchestrator_workflow.test.ts index de1dd2a1b284..21dae423b4f6 100644 --- a/yarn-project/prover-client/src/orchestrator/orchestrator_workflow.test.ts +++ b/yarn-project/prover-client/src/orchestrator/orchestrator_workflow.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { NESTED_RECURSIVE_PROOF_LENGTH, RECURSIVE_PROOF_LENGTH } from '@aztec/constants'; import { Fr } from '@aztec/foundation/fields'; import { createLogger } from '@aztec/foundation/log'; @@ -74,7 +75,9 @@ describe('prover/orchestrator', () => { } }); - orchestrator.startNewEpoch(1, 1, 1); + const emptyChallenges = await BatchedBlob.precomputeEmptyBatchedBlobChallenges(); + + orchestrator.startNewEpoch(1, 1, 1, emptyChallenges); await orchestrator.startNewBlock(globalVariables, [message], previousBlockHeader); // the prover broker deduplicates jobs, so the base parity proof @@ -105,9 +108,11 @@ describe('prover/orchestrator', () => { }); it('waits for block to be completed before enqueueing block root proof', async () => { - orchestrator.startNewEpoch(1, 1, 1); - await orchestrator.startNewBlock(globalVariables, [], previousBlockHeader); const txs = await Promise.all([context.makeProcessedTx(1), context.makeProcessedTx(2)]); + const blobs = await Blob.getBlobs(txs.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); + await orchestrator.startNewBlock(globalVariables, [], previousBlockHeader); await context.setTreeRoots(txs); await orchestrator.addTxs(txs); @@ -123,8 +128,11 @@ describe('prover/orchestrator', () => { it('can start tube proofs before adding processed txs', async () => { const getTubeSpy = jest.spyOn(prover, 'getTubeProof'); - orchestrator.startNewEpoch(1, 1, 1); const processedTxs = await Promise.all([context.makeProcessedTx(1), context.makeProcessedTx(2)]); + const blobs = await Blob.getBlobs(processedTxs.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); + processedTxs.forEach((tx, i) => (tx.clientIvcProof = ClientIvcProof.fake(i + 1))); // TODO(AD): we shouldn't be mocking complex objects like tx this way - easy to hit issues (I had to update to add data field) const txs = processedTxs.map( diff --git a/yarn-project/prover-client/src/prover-client/server-epoch-prover.ts b/yarn-project/prover-client/src/prover-client/server-epoch-prover.ts index cae999ff5e79..46de69240cde 100644 --- a/yarn-project/prover-client/src/prover-client/server-epoch-prover.ts +++ b/yarn-project/prover-client/src/prover-client/server-epoch-prover.ts @@ -1,3 +1,4 @@ +import type { BatchedBlob, FinalBlobBatchingChallenges } from '@aztec/blob-lib'; import type { Fr } from '@aztec/foundation/fields'; import type { L2Block } from '@aztec/stdlib/block'; import type { EpochProver } from '@aztec/stdlib/interfaces/server'; @@ -15,8 +16,13 @@ export class ServerEpochProver implements EpochProver { private orchestrator: ProvingOrchestrator, ) {} - startNewEpoch(epochNumber: number, firstBlockNumber: number, totalNumBlocks: number): void { - this.orchestrator.startNewEpoch(epochNumber, firstBlockNumber, totalNumBlocks); + startNewEpoch( + epochNumber: number, + firstBlockNumber: number, + totalNumBlocks: number, + finalBlobBatchingChallenges: FinalBlobBatchingChallenges, + ): void { + this.orchestrator.startNewEpoch(epochNumber, firstBlockNumber, totalNumBlocks, finalBlobBatchingChallenges); this.facade.start(); } startTubeCircuits(txs: Tx[]): Promise { @@ -25,7 +31,7 @@ export class ServerEpochProver implements EpochProver { setBlockCompleted(blockNumber: number, expectedBlockHeader?: BlockHeader): Promise { return this.orchestrator.setBlockCompleted(blockNumber, expectedBlockHeader); } - finaliseEpoch(): Promise<{ publicInputs: RootRollupPublicInputs; proof: Proof }> { + finaliseEpoch(): Promise<{ publicInputs: RootRollupPublicInputs; proof: Proof; batchedBlobInputs: BatchedBlob }> { return this.orchestrator.finaliseEpoch(); } cancel(): void { diff --git a/yarn-project/prover-client/src/test/bb_prover_full_rollup.test.ts b/yarn-project/prover-client/src/test/bb_prover_full_rollup.test.ts index 4f6faa90d510..c17fccce3135 100644 --- a/yarn-project/prover-client/src/test/bb_prover_full_rollup.test.ts +++ b/yarn-project/prover-client/src/test/bb_prover_full_rollup.test.ts @@ -1,4 +1,5 @@ import { BBNativeRollupProver, type BBProverConfig } from '@aztec/bb-prover'; +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP, PAIRING_POINTS_SIZE } from '@aztec/constants'; import { makeTuple } from '@aztec/foundation/array'; import { timesParallel } from '@aztec/foundation/collection'; @@ -40,7 +41,7 @@ describe('prover/bb_prover/full-rollup', () => { it.each([ [1, 1, 0, 2], // Epoch with a single block, requires one padding block proof - // [2, 2, 0, 2], // Full epoch with two blocks // TODO(#10678) disabled for time x resource usage on main runner + // [2, 2, 0, 2], // Full epoch with two blocks // TODO(#10678) disabled for time x resource usage on main runner // NOTE: we need this test to create the fixture for integration_proof_verification.test.ts, which doesn't seem to be run, though does pass // [2, 3, 0, 2], // Epoch with two blocks but the block merge tree was assembled as with 3 leaves, requires one padding block proof; commented out to reduce running time ])( 'proves a private-only epoch with %i/%i blocks with %i/%i non-empty txs each', @@ -48,11 +49,9 @@ describe('prover/bb_prover/full-rollup', () => { log.info(`Proving epoch with ${blockCount}/${totalBlocks} blocks with ${nonEmptyTxs}/${totalTxs} non-empty txs`); const initialHeader = context.getBlockHeader(0); - context.orchestrator.startNewEpoch(1, 1, totalBlocks); - + const processedTxs = []; + const blobs = []; for (let blockNum = 1; blockNum <= blockCount; blockNum++) { - const globals = makeGlobals(blockNum); - const l1ToL2Messages = makeTuple(NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP, Fr.random); const txs = await timesParallel(nonEmptyTxs, async (i: number) => { const txOpts = { numberOfNonRevertiblePublicCallRequests: 0, numberOfRevertiblePublicCallRequests: 0 }; const tx = await mockTx(blockNum * 100_000 + 1000 * (i + 1), txOpts); @@ -61,13 +60,25 @@ describe('prover/bb_prover/full-rollup', () => { return tx; }); - log.info(`Starting new block #${blockNum}`); - - await context.orchestrator.startNewBlock(globals, l1ToL2Messages, previousBlockHeader); log.info(`Processing public functions`); const [processed, failed] = await context.processPublicFunctions(txs, nonEmptyTxs); expect(processed.length).toBe(nonEmptyTxs); expect(failed.length).toBe(0); + processedTxs[blockNum] = processed; + blobs.push(await Blob.getBlobs(processed.flatMap(tx => tx.txEffect.toBlobFields()))); + } + + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs.flat()); + context.orchestrator.startNewEpoch(1, 1, totalBlocks, finalBlobChallenges); + + for (let blockNum = 1; blockNum <= blockCount; blockNum++) { + const globals = makeGlobals(blockNum); + const l1ToL2Messages = makeTuple(NUMBER_OF_L1_L2_MESSAGES_PER_ROLLUP, Fr.random); + const processed = processedTxs[blockNum]; + + log.info(`Starting new block #${blockNum}`); + + await context.orchestrator.startNewBlock(globals, l1ToL2Messages, previousBlockHeader); await context.orchestrator.addTxs(processed); log.info(`Setting block as completed`); @@ -118,15 +129,18 @@ describe('prover/bb_prover/full-rollup', () => { Fr.random, ); - context.orchestrator.startNewEpoch(1, 1, 1); - - await context.orchestrator.startNewBlock(context.globalVariables, l1ToL2Messages, context.getPreviousBlockHeader()); - const [processed, failed] = await context.processPublicFunctions(txs, numTransactions); expect(processed.length).toBe(numTransactions); expect(failed.length).toBe(0); + const blobs = await Blob.getBlobs(processed.map(tx => tx.txEffect.toBlobFields()).flat()); + const finalBlobChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(blobs); + + context.orchestrator.startNewEpoch(1, 1, 1, finalBlobChallenges); + + await context.orchestrator.startNewBlock(context.globalVariables, l1ToL2Messages, context.getPreviousBlockHeader()); + await context.orchestrator.addTxs(processed); await context.orchestrator.setBlockCompleted(context.blockNumber); diff --git a/yarn-project/prover-node/package.json b/yarn-project/prover-node/package.json index a49996b791e6..e061ef1e6350 100644 --- a/yarn-project/prover-node/package.json +++ b/yarn-project/prover-node/package.json @@ -54,6 +54,7 @@ "dependencies": { "@aztec/archiver": "workspace:^", "@aztec/bb-prover": "workspace:^", + "@aztec/blob-lib": "workspace:^", "@aztec/blob-sink": "workspace:^", "@aztec/constants": "workspace:^", "@aztec/epoch-cache": "workspace:^", diff --git a/yarn-project/prover-node/src/job/epoch-proving-job.test.ts b/yarn-project/prover-node/src/job/epoch-proving-job.test.ts index 1f6a1a625501..41ca4fd9d605 100644 --- a/yarn-project/prover-node/src/job/epoch-proving-job.test.ts +++ b/yarn-project/prover-node/src/job/epoch-proving-job.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob } from '@aztec/blob-lib'; import { fromEntries, times, timesParallel } from '@aztec/foundation/collection'; import { toArray } from '@aztec/foundation/iterable'; import { sleep } from '@aztec/foundation/sleep'; @@ -34,6 +35,7 @@ describe('epoch-proving-job', () => { // Objects let publicInputs: RootRollupPublicInputs; let proof: Proof; + let batchedBlobInputs: BatchedBlob; let blocks: L2Block[]; let txs: Tx[]; let initialHeader: BlockHeader; @@ -81,6 +83,13 @@ describe('epoch-proving-job', () => { publicInputs = RootRollupPublicInputs.random(); proof = Proof.empty(); + batchedBlobInputs = new BatchedBlob( + publicInputs.blobPublicInputs.blobCommitmentsHash, + publicInputs.blobPublicInputs.z, + publicInputs.blobPublicInputs.y, + publicInputs.blobPublicInputs.c, + publicInputs.blobPublicInputs.c.negate(), + ); epochNumber = 1; initialHeader = BlockHeader.empty(); blocks = await timesParallel(NUM_BLOCKS, i => L2Block.random(i + 1, TXS_PER_BLOCK)); @@ -97,7 +106,7 @@ describe('epoch-proving-job', () => { db.getInitialHeader.mockReturnValue(initialHeader); worldState.fork.mockResolvedValue(db); prover.startNewBlock.mockImplementation(() => sleep(200)); - prover.finaliseEpoch.mockResolvedValue({ publicInputs, proof }); + prover.finaliseEpoch.mockResolvedValue({ publicInputs, proof, batchedBlobInputs }); publisher.submitEpochProof.mockResolvedValue(true); publicProcessor.process.mockImplementation(async txs => { const txsArray = await toArray(txs); diff --git a/yarn-project/prover-node/src/job/epoch-proving-job.ts b/yarn-project/prover-node/src/job/epoch-proving-job.ts index e60a489a099a..6a239084136b 100644 --- a/yarn-project/prover-node/src/job/epoch-proving-job.ts +++ b/yarn-project/prover-node/src/job/epoch-proving-job.ts @@ -1,3 +1,4 @@ +import { BatchedBlob, Blob } from '@aztec/blob-lib'; import { asyncPool } from '@aztec/foundation/async-pool'; import { createLogger } from '@aztec/foundation/log'; import { RunningPromise, promiseWithResolvers } from '@aztec/foundation/promise'; @@ -113,7 +114,12 @@ export class EpochProvingJob implements Traceable { this.runPromise = promise; try { - this.prover.startNewEpoch(epochNumber, fromBlock, epochSizeBlocks); + const allBlobs = ( + await Promise.all(this.blocks.map(async block => await Blob.getBlobs(block.body.toBlobFields()))) + ).flat(); + + const finalBlobBatchingChallenges = await BatchedBlob.precomputeBatchedBlobChallenges(allBlobs); + this.prover.startNewEpoch(epochNumber, fromBlock, epochSizeBlocks, finalBlobBatchingChallenges); await this.prover.startTubeCircuits(this.txs); await asyncPool(this.config.parallelBlockLimit ?? 32, this.blocks, async block => { @@ -158,11 +164,18 @@ export class EpochProvingJob implements Traceable { const executionTime = timer.ms(); this.progressState('awaiting-prover'); - const { publicInputs, proof } = await this.prover.finaliseEpoch(); + const { publicInputs, proof, batchedBlobInputs } = await this.prover.finaliseEpoch(); this.log.info(`Finalised proof for epoch ${epochNumber}`, { epochNumber, uuid: this.uuid, duration: timer.ms() }); this.progressState('publishing-proof'); - const success = await this.publisher.submitEpochProof({ fromBlock, toBlock, epochNumber, publicInputs, proof }); + const success = await this.publisher.submitEpochProof({ + fromBlock, + toBlock, + epochNumber, + publicInputs, + proof, + batchedBlobInputs, + }); if (!success) { throw new Error('Failed to submit epoch proof to L1'); } diff --git a/yarn-project/prover-node/src/prover-node-publisher.test.ts b/yarn-project/prover-node/src/prover-node-publisher.test.ts index f19f8844d61a..4b413144ee0f 100644 --- a/yarn-project/prover-node/src/prover-node-publisher.test.ts +++ b/yarn-project/prover-node/src/prover-node-publisher.test.ts @@ -1,3 +1,4 @@ +import { BatchedBlob } from '@aztec/blob-lib'; import type { L1TxUtils, RollupContract } from '@aztec/ethereum'; import { EthAddress } from '@aztec/foundation/eth-address'; import { Fr } from '@aztec/foundation/fields'; @@ -147,6 +148,14 @@ describe('prover-node-publisher', () => { ourPublicInputs.previousArchiveRoot = blocks[fromBlock - 2]?.endArchiveRoot ?? Fr.ZERO; ourPublicInputs.endArchiveRoot = blocks[toBlock - 1]?.endArchiveRoot ?? Fr.ZERO; + const ourBatchedBlob = new BatchedBlob( + ourPublicInputs.blobPublicInputs.blobCommitmentsHash, + ourPublicInputs.blobPublicInputs.z, + ourPublicInputs.blobPublicInputs.y, + ourPublicInputs.blobPublicInputs.c, + ourPublicInputs.blobPublicInputs.c.negate(), // Fill with dummy value + ); + // Return our public inputs const totalFields = ourPublicInputs.toFields(); rollup.getEpochProofPublicInputs.mockResolvedValue(totalFields.map(x => x.toString())); @@ -158,6 +167,7 @@ describe('prover-node-publisher', () => { toBlock, publicInputs: ourPublicInputs, proof: Proof.empty(), + batchedBlobInputs: ourBatchedBlob, }) .then(() => 'Success') .catch(error => error.message); diff --git a/yarn-project/prover-node/src/prover-node-publisher.ts b/yarn-project/prover-node/src/prover-node-publisher.ts index bfcf727dc1f4..6192a74d3b49 100644 --- a/yarn-project/prover-node/src/prover-node-publisher.ts +++ b/yarn-project/prover-node/src/prover-node-publisher.ts @@ -1,3 +1,4 @@ +import { type BatchedBlob, FinalBlobAccumulatorPublicInputs } from '@aztec/blob-lib'; import { AZTEC_MAX_EPOCH_DURATION } from '@aztec/constants'; import type { L1TxUtils, RollupContract } from '@aztec/ethereum'; import { makeTuple } from '@aztec/foundation/array'; @@ -15,6 +16,7 @@ import type { FeeRecipient, RootRollupPublicInputs } from '@aztec/stdlib/rollup' import type { L1PublishProofStats } from '@aztec/stdlib/stats'; import { type TelemetryClient, getTelemetryClient } from '@aztec/telemetry-client'; +import { inspect } from 'util'; import { type Hex, type TransactionReceipt, encodeFunctionData } from 'viem'; import { ProverNodePublisherMetrics } from './metrics.js'; @@ -94,6 +96,7 @@ export class ProverNodePublisher { toBlock: number; publicInputs: RootRollupPublicInputs; proof: Proof; + batchedBlobInputs: BatchedBlob; }): Promise { const { epochNumber, fromBlock, toBlock } = args; const ctx = { epochNumber, fromBlock, toBlock }; @@ -146,8 +149,9 @@ export class ProverNodePublisher { toBlock: number; publicInputs: RootRollupPublicInputs; proof: Proof; + batchedBlobInputs: BatchedBlob; }) { - const { fromBlock, toBlock, publicInputs } = args; + const { fromBlock, toBlock, publicInputs, batchedBlobInputs } = args; // Check that the block numbers match the expected epoch to be proven const { pendingBlockNumber: pending, provenBlockNumber: proven } = await this.rollupContract.getTips(); @@ -176,8 +180,17 @@ export class ProverNodePublisher { ); } + // Check the batched blob inputs from the root rollup against the batched blob computed in ts + if (!publicInputs.blobPublicInputs.equals(FinalBlobAccumulatorPublicInputs.fromBatchedBlob(batchedBlobInputs))) { + throw new Error( + `Batched blob mismatch: ${inspect(publicInputs.blobPublicInputs)} !== ${inspect(FinalBlobAccumulatorPublicInputs.fromBatchedBlob(batchedBlobInputs))}`, + ); + } + // Compare the public inputs computed by the contract with the ones injected - const rollupPublicInputs = await this.rollupContract.getEpochProofPublicInputs(this.getSubmitEpochProofArgs(args)); + const rollupPublicInputs = await this.rollupContract.getEpochProofPublicInputs( + this.getEpochProofPublicInputsArgs(args), + ); const argsPublicInputs = [...publicInputs.toFields()]; if (!areArraysEqual(rollupPublicInputs.map(Fr.fromHexString), argsPublicInputs, (a, b) => a.equals(b))) { @@ -193,20 +206,9 @@ export class ProverNodePublisher { toBlock: number; publicInputs: RootRollupPublicInputs; proof: Proof; + batchedBlobInputs: BatchedBlob; }): Promise { - const proofHex: Hex = `0x${args.proof.withoutPublicInputs().toString('hex')}`; - const argsArray = this.getSubmitEpochProofArgs(args); - - const txArgs = [ - { - start: argsArray[0], - end: argsArray[1], - args: argsArray[2], - fees: argsArray[3], - blobPublicInputs: argsArray[4], - proof: proofHex, - }, - ] as const; + const txArgs = [this.getSubmitEpochProofArgs(args)] as const; this.log.info(`SubmitEpochProof proofSize=${args.proof.withoutPublicInputs().length} bytes`); const data = encodeFunctionData({ @@ -239,32 +241,50 @@ export class ProverNodePublisher { } } - private getSubmitEpochProofArgs(args: { + private getEpochProofPublicInputsArgs(args: { fromBlock: number; toBlock: number; publicInputs: RootRollupPublicInputs; - proof: Proof; + batchedBlobInputs: BatchedBlob; }) { + // Returns arguments for EpochProofLib.sol -> getEpochProofPublicInputs() return [ - BigInt(args.fromBlock), - BigInt(args.toBlock), + BigInt(args.fromBlock) /*_start*/, + BigInt(args.toBlock) /*_end*/, { previousArchive: args.publicInputs.previousArchiveRoot.toString(), endArchive: args.publicInputs.endArchiveRoot.toString(), proverId: EthAddress.fromField(args.publicInputs.proverId).toString(), - }, + } /*_args*/, makeTuple(AZTEC_MAX_EPOCH_DURATION * 2, i => i % 2 === 0 ? args.publicInputs.fees[i / 2].recipient.toField().toString() : args.publicInputs.fees[(i - 1) / 2].value.toString(), - ), - `0x${args.publicInputs.blobPublicInputs - .filter((_, i) => i < args.toBlock - args.fromBlock + 1) - .map(b => b.toString()) - .join(``)}`, + ) /*_fees*/, + args.batchedBlobInputs.getEthBlobEvaluationInputs() /*_blobPublicInputs*/, ] as const; } + private getSubmitEpochProofArgs(args: { + fromBlock: number; + toBlock: number; + publicInputs: RootRollupPublicInputs; + proof: Proof; + batchedBlobInputs: BatchedBlob; + }) { + // Returns arguments for EpochProofLib.sol -> submitEpochRootProof() + const proofHex: Hex = `0x${args.proof.withoutPublicInputs().toString('hex')}`; + const argsArray = this.getEpochProofPublicInputsArgs(args); + return { + start: argsArray[0], + end: argsArray[1], + args: argsArray[2], + fees: argsArray[3], + blobInputs: argsArray[4], + proof: proofHex, + }; + } + protected async sleepOrInterrupted() { await this.interruptibleSleep.sleep(this.sleepTimeMs); } diff --git a/yarn-project/prover-node/tsconfig.json b/yarn-project/prover-node/tsconfig.json index 1e82cfa793c0..b8ae430a409a 100644 --- a/yarn-project/prover-node/tsconfig.json +++ b/yarn-project/prover-node/tsconfig.json @@ -12,6 +12,9 @@ { "path": "../bb-prover" }, + { + "path": "../blob-lib" + }, { "path": "../blob-sink" }, diff --git a/yarn-project/sequencer-client/src/publisher/sequencer-publisher.test.ts b/yarn-project/sequencer-client/src/publisher/sequencer-publisher.test.ts index fcc6688b5c01..96ad7e060f1e 100644 --- a/yarn-project/sequencer-client/src/publisher/sequencer-publisher.test.ts +++ b/yarn-project/sequencer-client/src/publisher/sequencer-publisher.test.ts @@ -222,7 +222,7 @@ describe('SequencerPublisher', () => { await publisher.sendRequests(); expect(forwarder.forward).toHaveBeenCalledTimes(1); - const blobInput = Blob.getEthBlobEvaluationInputs(expectedBlobs); + const blobInput = Blob.getPrefixedEthBlobCommitments(expectedBlobs); const args = [ { diff --git a/yarn-project/sequencer-client/src/publisher/sequencer-publisher.ts b/yarn-project/sequencer-client/src/publisher/sequencer-publisher.ts index fc6da81a40b3..35757850ec1c 100644 --- a/yarn-project/sequencer-client/src/publisher/sequencer-publisher.ts +++ b/yarn-project/sequencer-client/src/publisher/sequencer-publisher.ts @@ -474,7 +474,7 @@ export class SequencerPublisher { throw new Error('L1 TX utils needs to be initialized with an account wallet.'); } const kzg = Blob.getViemKzgInstance(); - const blobInput = Blob.getEthBlobEvaluationInputs(encodedData.blobs); + const blobInput = Blob.getPrefixedEthBlobCommitments(encodedData.blobs); this.log.debug('Validating blob input', { blobInput }); const blobEvaluationGas = await this.l1TxUtils .estimateGas( diff --git a/yarn-project/stdlib/src/interfaces/epoch-prover.ts b/yarn-project/stdlib/src/interfaces/epoch-prover.ts index 6dfe395c0eb3..96398552feb6 100644 --- a/yarn-project/stdlib/src/interfaces/epoch-prover.ts +++ b/yarn-project/stdlib/src/interfaces/epoch-prover.ts @@ -1,3 +1,4 @@ +import type { BatchedBlob, FinalBlobBatchingChallenges } from '@aztec/blob-lib'; import type { Fr } from '@aztec/foundation/fields'; import type { L2Block } from '../block/l2_block.js'; @@ -15,7 +16,12 @@ export interface EpochProver extends Omit { * @param firstBlockNumber - The block number of the first block in the epoch. * @param totalNumBlocks - The total number of blocks expected in the epoch (must be at least one). **/ - startNewEpoch(epochNumber: number, firstBlockNumber: number, totalNumBlocks: number): void; + startNewEpoch( + epochNumber: number, + firstBlockNumber: number, + totalNumBlocks: number, + finalBlobBatchingChallenges: FinalBlobBatchingChallenges, + ): void; /** * Kickstarts tube circuits for the specified txs. These will be used during epoch proving. @@ -27,7 +33,7 @@ export interface EpochProver extends Omit { setBlockCompleted(blockNumber: number, expectedBlockHeader?: BlockHeader): Promise; /** Pads the epoch with empty block roots if needed and blocks until proven. Throws if proving has failed. */ - finaliseEpoch(): Promise<{ publicInputs: RootRollupPublicInputs; proof: Proof }>; + finaliseEpoch(): Promise<{ publicInputs: RootRollupPublicInputs; proof: Proof; batchedBlobInputs: BatchedBlob }>; /** Cancels all proving jobs. */ cancel(): void; diff --git a/yarn-project/stdlib/src/rollup/block_root_or_block_merge_public_inputs.ts b/yarn-project/stdlib/src/rollup/block_root_or_block_merge_public_inputs.ts index 004f455ea17e..51732090b562 100644 --- a/yarn-project/stdlib/src/rollup/block_root_or_block_merge_public_inputs.ts +++ b/yarn-project/stdlib/src/rollup/block_root_or_block_merge_public_inputs.ts @@ -57,9 +57,9 @@ export class BlockRootOrBlockMergePublicInputs { */ public proverId: Fr, /** - * Public inputs required to verify a blob (challenge point z, evaluation y = p(z), and the commitment to p() for each blob) + * Public inputs required to verify a batch of blobs. */ - public blobPublicInputs: Tuple, + public blobPublicInputs: BlockBlobPublicInputs, ) {} /** @@ -80,7 +80,7 @@ export class BlockRootOrBlockMergePublicInputs { Fr.fromBuffer(reader), Fr.fromBuffer(reader), Fr.fromBuffer(reader), - reader.readArray(AZTEC_MAX_EPOCH_DURATION, BlockBlobPublicInputs), + reader.readObject(BlockBlobPublicInputs), ); } diff --git a/yarn-project/stdlib/src/rollup/block_root_rollup.ts b/yarn-project/stdlib/src/rollup/block_root_rollup.ts index 179fec1b1d6a..3a67335c86cb 100644 --- a/yarn-project/stdlib/src/rollup/block_root_rollup.ts +++ b/yarn-project/stdlib/src/rollup/block_root_rollup.ts @@ -1,3 +1,4 @@ +import { BlobAccumulatorPublicInputs, FinalBlobBatchingChallenges } from '@aztec/blob-lib'; import { ARCHIVE_HEIGHT, BLOBS_PER_BLOCK, @@ -5,7 +6,7 @@ import { L1_TO_L2_MSG_SUBTREE_SIBLING_PATH_LENGTH, NESTED_RECURSIVE_PROOF_LENGTH, } from '@aztec/constants'; -import { Fr } from '@aztec/foundation/fields'; +import { BLS12Point, Fr } from '@aztec/foundation/fields'; import { bufferSchemaFor } from '@aztec/foundation/schemas'; import { BufferReader, type Tuple, serializeToBuffer } from '@aztec/foundation/serialize'; import { bufferToHex, hexToBuffer } from '@aztec/foundation/string'; @@ -37,6 +38,14 @@ export class BlockRootRollupData { * The header of the previous block. */ public previousBlockHeader: BlockHeader, + /** + * The current blob accumulation state across the epoch. + */ + public startBlobAccumulator: BlobAccumulatorPublicInputs, + /** + * Finalized challenges z and gamma for performing blob batching. Shared value across the epoch. + */ + public finalBlobChallenges: FinalBlobBatchingChallenges, /** * TODO(#7346): Temporarily added prover_id while we verify block-root proofs on L1 */ @@ -80,6 +89,8 @@ export class BlockRootRollupData { fields.previousArchiveSiblingPath, fields.newArchiveSiblingPath, fields.previousBlockHeader, + fields.startBlobAccumulator, + fields.finalBlobChallenges, fields.proverId, ] as const; } @@ -97,6 +108,8 @@ export class BlockRootRollupData { reader.readArray(ARCHIVE_HEIGHT, Fr), reader.readArray(ARCHIVE_HEIGHT, Fr), BlockHeader.fromBuffer(reader), + reader.readObject(BlobAccumulatorPublicInputs), + reader.readObject(FinalBlobBatchingChallenges), Fr.fromBuffer(reader), ); } @@ -131,9 +144,8 @@ export class BlockRootRollupBlobData { public blobFields: Fr[], /** * KZG commitments representing the blob (precomputed in ts, injected to use inside circuit). - * TODO(Miranda): Rename to kzg_commitment to match BlobPublicInputs? */ - public blobCommitments: Tuple, typeof BLOBS_PER_BLOCK>, + public blobCommitments: Tuple, /** * The hash of eth blob hashes for this block * See yarn-project/foundation/src/blob/index.ts or body.ts for calculation @@ -186,7 +198,7 @@ export class BlockRootRollupBlobData { // Below line gives error 'Type instantiation is excessively deep and possibly infinite. ts(2589)' // reader.readArray(FIELDS_PER_BLOB, Fr), Array.from({ length: FIELDS_PER_BLOB * BLOBS_PER_BLOCK }, () => Fr.fromBuffer(reader)), - reader.readArray(BLOBS_PER_BLOCK, { fromBuffer: () => reader.readArray(2, Fr) }), + reader.readArray(BLOBS_PER_BLOCK, BLS12Point), Fr.fromBuffer(reader), ); } diff --git a/yarn-project/stdlib/src/rollup/root_rollup.ts b/yarn-project/stdlib/src/rollup/root_rollup.ts index 138e727b4321..0ff33358ec1f 100644 --- a/yarn-project/stdlib/src/rollup/root_rollup.ts +++ b/yarn-project/stdlib/src/rollup/root_rollup.ts @@ -1,4 +1,4 @@ -import { BlockBlobPublicInputs } from '@aztec/blob-lib'; +import { FinalBlobAccumulatorPublicInputs } from '@aztec/blob-lib'; import { AZTEC_MAX_EPOCH_DURATION } from '@aztec/constants'; import { makeTuple } from '@aztec/foundation/array'; import { Fr } from '@aztec/foundation/fields'; @@ -110,7 +110,7 @@ export class RootRollupPublicInputs { public vkTreeRoot: Fr, public protocolContractTreeRoot: Fr, public proverId: Fr, - public blobPublicInputs: Tuple, + public blobPublicInputs: FinalBlobAccumulatorPublicInputs, ) {} static getFields(fields: FieldsOf) { @@ -157,7 +157,7 @@ export class RootRollupPublicInputs { Fr.fromBuffer(reader), Fr.fromBuffer(reader), Fr.fromBuffer(reader), - reader.readArray(AZTEC_MAX_EPOCH_DURATION, BlockBlobPublicInputs), + reader.readObject(FinalBlobAccumulatorPublicInputs), ); } @@ -179,7 +179,7 @@ export class RootRollupPublicInputs { return bufferSchemaFor(RootRollupPublicInputs); } - /** Creates a random instance. */ + /** Creates a random instance. Used for testing only - will not prove/verify. */ static random() { return new RootRollupPublicInputs( Fr.random(), @@ -191,7 +191,7 @@ export class RootRollupPublicInputs { Fr.random(), Fr.random(), Fr.random(), - makeTuple(AZTEC_MAX_EPOCH_DURATION, BlockBlobPublicInputs.empty), + FinalBlobAccumulatorPublicInputs.random(), ); } } diff --git a/yarn-project/stdlib/src/tests/factories.ts b/yarn-project/stdlib/src/tests/factories.ts index 6e220d9f7e0e..c4b1798b740f 100644 --- a/yarn-project/stdlib/src/tests/factories.ts +++ b/yarn-project/stdlib/src/tests/factories.ts @@ -1,4 +1,4 @@ -import { makeBlockBlobPublicInputs, makeSpongeBlob } from '@aztec/blob-lib/testing'; +import { makeBatchedBlobAccumulator, makeBlockBlobPublicInputs, makeSpongeBlob } from '@aztec/blob-lib/testing'; import { ARCHIVE_HEIGHT, AVM_V2_PROOF_LENGTH_IN_FIELDS_PADDED, @@ -46,7 +46,7 @@ import { toBufferBE } from '@aztec/foundation/bigint-buffer'; import { compact } from '@aztec/foundation/collection'; import { SchnorrSignature, poseidon2HashWithSeparator, sha256 } from '@aztec/foundation/crypto'; import { EthAddress } from '@aztec/foundation/eth-address'; -import { Fr, GrumpkinScalar, Point } from '@aztec/foundation/fields'; +import { BLS12Point, Fr, GrumpkinScalar, Point } from '@aztec/foundation/fields'; import type { Bufferable } from '@aztec/foundation/serialize'; import { MembershipWitness } from '@aztec/foundation/trees'; @@ -738,7 +738,7 @@ export function makeBlockRootOrBlockMergeRollupPublicInputs( fr(seed + 0x800), fr(seed + 0x801), fr(seed + 0x900), - makeTuple(AZTEC_MAX_EPOCH_DURATION, () => makeBlockBlobPublicInputs(seed), 0x100), + makeBlockBlobPublicInputs(seed), ); } @@ -802,14 +802,16 @@ function makeBlockRootRollupData(seed = 0) { makeTuple(ARCHIVE_HEIGHT, fr, 0x2200), makeTuple(ARCHIVE_HEIGHT, fr, 0x2300), makeHeader(seed + 0x2400), - fr(seed + 0x2500), + makeBatchedBlobAccumulator(seed + 0x2500).toBlobAccumulatorPublicInputs(), + makeBatchedBlobAccumulator(seed + 0x2600).finalBlobChallenges, + fr(seed + 0x2700), ); } function makeBlockRootRollupBlobData(seed = 0) { return new BlockRootRollupBlobData( makeTuple(FIELDS_PER_BLOB * BLOBS_PER_BLOCK, fr, 0x2500), - makeTuple(BLOBS_PER_BLOCK, () => makeTuple(2, fr, 0x2600)), + makeTuple(BLOBS_PER_BLOCK, () => BLS12Point.random()), fr(seed + 0x2700), ); } @@ -904,7 +906,7 @@ export function makeRootRollupPublicInputs(seed = 0): RootRollupPublicInputs { fr(seed + 0x702), fr(seed + 0x703), fr(seed + 0x704), - makeTuple(AZTEC_MAX_EPOCH_DURATION, () => makeBlockBlobPublicInputs(seed), 0x800), + makeBatchedBlobAccumulator(seed).toFinalBlobAccumulatorPublicInputs(), ); } diff --git a/yarn-project/yarn.lock b/yarn-project/yarn.lock index a4142984879a..bd6a14c79b20 100644 --- a/yarn-project/yarn.lock +++ b/yarn-project/yarn.lock @@ -1191,6 +1191,7 @@ __metadata: dependencies: "@aztec/archiver": "workspace:^" "@aztec/bb-prover": "workspace:^" + "@aztec/blob-lib": "workspace:^" "@aztec/blob-sink": "workspace:^" "@aztec/constants": "workspace:^" "@aztec/epoch-cache": "workspace:^" From b90b9799882c2ae46594bcce4a3cbc82a06917ff Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Wed, 4 Jun 2025 18:26:04 +0000 Subject: [PATCH 07/11] feat: improve blob hash calc, add extra blob check + test --- .../src/core/libraries/rollup/BlobLib.sol | 52 +++++++++++++------ l1-contracts/test/Rollup.t.sol | 27 ++++++++++ l1-contracts/test/base/RollupBase.sol | 16 ++---- 3 files changed, 69 insertions(+), 26 deletions(-) diff --git a/l1-contracts/src/core/libraries/rollup/BlobLib.sol b/l1-contracts/src/core/libraries/rollup/BlobLib.sol index e87c0a3331d9..611b85ee8ff0 100644 --- a/l1-contracts/src/core/libraries/rollup/BlobLib.sol +++ b/l1-contracts/src/core/libraries/rollup/BlobLib.sol @@ -9,6 +9,9 @@ import {Vm} from "forge-std/Vm.sol"; library BlobLib { address public constant VM_ADDRESS = address(uint160(uint256(keccak256("hevm cheat code")))); + uint256 internal constant VERSIONED_HASH_VERSION_KZG = + 0x0100000000000000000000000000000000000000000000000000000000000000; // 0x01 << 248 to be used in blobHashCheck + uint256 internal constant MAX_BLOBS_PER_BLOCK = 6; // Increasing to 9 with Pectra /** * @notice Get the blob base fee @@ -26,18 +29,22 @@ library BlobLib { } /** - * @notice Validate an L2 block's blobs and return the hashed blobHashes and public inputs. + * @notice Validate an L2 block's blobs and return the blobHashes, the hashed blobHashes, and blob commitments. + * @notice We assume that this propose transaction contains only Aztec blobs * Input bytes: * input[:1] - num blobs in block * input[1:] - blob commitments (48 bytes * num blobs in block) * @param _blobsInput - The above bytes to verify our input blob commitments match real blobs * @param _checkBlob - Whether to skip blob related checks. Hardcoded to true (See RollupCore.sol -> checkBlob), exists only to be overriden in tests. + * Returns for proposal: + * @return blobHashes - All of the blob hashes included in this block, to be emitted in L2BlockProposed event. + * @return blobsHashesCommitment - A hash of all blob hashes in this block, to be included in the block header. See comment at the end of this fn for more info. + * @return blobCommitments - All of the blob commitments included in this block, to be stored then validated against those used in the rollup in epoch proof verification. */ function validateBlobs(bytes calldata _blobsInput, bool _checkBlob) internal view returns ( - // All of the blob hashes included in this block bytes32[] memory blobHashes, bytes32 blobsHashesCommitment, bytes[] memory blobCommitments @@ -58,29 +65,26 @@ library BlobLib { ); blobInputStart += Constants.BLS12_POINT_COMPRESSED_BYTES; - // TODO(#14646): Use kzg_to_versioned_hash & VERSIONED_HASH_VERSION_KZG - // Using bytes32 array to force bytes into memory - bytes32[1] memory blobHashCheck = [sha256(blobCommitments[i])]; - // Until we use an external kzg_to_versioned_hash(), calculating it here: - // EIP-4844 spec blobhash is 32 bytes: [version, ...sha256(commitment)[1:32]] - // The version = VERSIONED_HASH_VERSION_KZG, currently 0x01. - assembly { - mstore8(blobHashCheck, 0x01) - } + bytes32 blobHashCheck = calculateBlobHash(blobCommitments[i]); if (_checkBlob) { assembly { blobHash := blobhash(i) } // The below check ensures that our injected blobCommitments indeed match the real // blobs submitted with this block. They are then used in the blobCommitmentsHash (see below). - require( - blobHash == blobHashCheck[0], Errors.Rollup__InvalidBlobHash(blobHash, blobHashCheck[0]) - ); + require(blobHash == blobHashCheck, Errors.Rollup__InvalidBlobHash(blobHash, blobHashCheck)); } else { - blobHash = blobHashCheck[0]; + blobHash = blobHashCheck; } blobHashes[i] = blobHash; } + // Ensure no non-Aztec blobs have been emitted in this tx: + for (uint256 i = numBlobs; i < MAX_BLOBS_PER_BLOCK; i++) { + assembly { + blobHash := blobhash(i) + } + require(blobHash == 0, Errors.Rollup__InvalidBlobHash(blobHash, 0)); + } // Hash the EVM blob hashes for the block header // TODO(#13430): The below blobsHashesCommitment known as blobsHash elsewhere in the code. The name blobsHashesCommitment is confusingly similar to blobCommitmentsHash // which are different values: @@ -159,4 +163,22 @@ library BlobLib { Hash.sha256ToField(abi.encodePacked(currentblobCommitmentsHash, _blobCommitments[i])); } } + + /** + * @notice Calculate the expected blob hash given a blob commitment + * @dev TODO(#14646): Use kzg_to_versioned_hash & VERSIONED_HASH_VERSION_KZG + * Until we use an external kzg_to_versioned_hash(), calculating it here: + * EIP-4844 spec blobhash is 32 bytes: [version, ...sha256(commitment)[1:32]] + * The version = VERSIONED_HASH_VERSION_KZG, currently 0x01. + * @param _blobCommitment - The 48 byte blob commitment + * @return bytes32 - The blob hash + */ + function calculateBlobHash(bytes memory _blobCommitment) internal pure returns (bytes32) { + return bytes32( + ( + uint256(sha256(_blobCommitment)) + & 0x00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF + ) | VERSIONED_HASH_VERSION_KZG + ); + } } diff --git a/l1-contracts/test/Rollup.t.sol b/l1-contracts/test/Rollup.t.sol index 08cfe00eb4df..3d882c566d3c 100644 --- a/l1-contracts/test/Rollup.t.sol +++ b/l1-contracts/test/Rollup.t.sol @@ -215,6 +215,33 @@ contract RollupTest is RollupBase { rollup.propose(args, attestations, data.blobCommitments); } + function testTooManyBlobs() public setUpFor("mixed_block_1") { + DecoderBase.Data memory data = load("mixed_block_1").block; + bytes memory header = data.header; + + bytes32[] memory realBlobHashes = this.getBlobHashes(data.blobCommitments); + bytes32[] memory blobHashes = new bytes32[](realBlobHashes.length + 1); + for (uint256 i = 0; i < realBlobHashes.length; i++) { + blobHashes[i] = realBlobHashes[i]; + } + // Add an extra blob which shouldn't exist + blobHashes[realBlobHashes.length] = bytes32(uint256(1)); + vm.blobhashes(blobHashes); + ProposeArgs memory args = ProposeArgs({ + header: header, + archive: data.archive, + stateReference: new bytes(0), + oracleInput: OracleInput(0), + txHashes: new bytes32[](0) + }); + vm.expectRevert( + abi.encodeWithSelector( + Errors.Rollup__InvalidBlobHash.selector, blobHashes[realBlobHashes.length], 0 + ) + ); + rollup.propose(args, attestations, data.blobCommitments); + } + function testRevertPrune() public setUpFor("mixed_block_1") { vm.expectRevert(abi.encodeWithSelector(Errors.Rollup__NothingToPrune.selector)); rollup.prune(); diff --git a/l1-contracts/test/base/RollupBase.sol b/l1-contracts/test/base/RollupBase.sol index 0048168cfd47..f56b28fa699a 100644 --- a/l1-contracts/test/base/RollupBase.sol +++ b/l1-contracts/test/base/RollupBase.sol @@ -18,6 +18,7 @@ import { Timestamp, Slot, Epoch, SlotLib, EpochLib, TimeLib } from "@aztec/core/libraries/TimeLib.sol"; import {DataStructures} from "@aztec/core/libraries/DataStructures.sol"; +import {BlobLib} from "@aztec/core/libraries/rollup/BlobLib.sol"; import {ProposeArgs, OracleInput, ProposeLib} from "@aztec/core/libraries/rollup/ProposeLib.sol"; import {CommitteeAttestation} from "@aztec/core/libraries/crypto/SignatureLib.sol"; import {Inbox} from "@aztec/core/messagebridge/Inbox.sol"; @@ -250,19 +251,12 @@ contract RollupBase is DecoderBase { uint256 blobInputStart = 1; for (uint256 i = 0; i < numBlobs; i++) { // blobInputs = [numBlobs, ...blobCommitments], numBlobs is one byte, each commitment is 48 - bytes32[1] memory blobHash = [ - sha256( - abi.encodePacked( - _blobCommitments[blobInputStart:blobInputStart + Constants.BLS12_POINT_COMPRESSED_BYTES] - ) + blobHashes[i] = BlobLib.calculateBlobHash( + abi.encodePacked( + _blobCommitments[blobInputStart:blobInputStart + Constants.BLS12_POINT_COMPRESSED_BYTES] ) - ]; + ); blobInputStart += Constants.BLS12_POINT_COMPRESSED_BYTES; - // EVM blobHash = VERSIONED_HASH_VERSION_KZG + sha256(blobCommitment)[1:] => hash the commitment and replace first byte with version - assembly { - mstore8(blobHash, 0x01) - } - blobHashes[i] = blobHash[0]; } } } From 32bf652236c427d5280b0c4dc366189ba19b3a6b Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Wed, 4 Jun 2025 18:50:37 +0000 Subject: [PATCH 08/11] feat: move blobCommitmentsHash to blocklog --- l1-contracts/src/core/Rollup.sol | 4 ++-- l1-contracts/src/core/interfaces/IRollup.sol | 13 ++++++---- .../core/libraries/rollup/EpochProofLib.sol | 2 +- .../src/core/libraries/rollup/ProposeLib.sol | 24 ++++++++++++------- .../src/core/libraries/rollup/STFLib.sol | 8 +++++-- .../src/prover-node-publisher.test.ts | 1 + 6 files changed, 34 insertions(+), 18 deletions(-) diff --git a/l1-contracts/src/core/Rollup.sol b/l1-contracts/src/core/Rollup.sol index 530da5d37d0b..ed6175a2e8ba 100644 --- a/l1-contracts/src/core/Rollup.sol +++ b/l1-contracts/src/core/Rollup.sol @@ -363,12 +363,12 @@ contract Rollup is IStaking, IValidatorSelection, IRollup, RollupCore { override(IRollup) returns (bytes32) { - return STFLib.getStorage().blobCommitmentsHash[_blockNumber]; + return STFLib.getStorage().blocks[_blockNumber].blobCommitmentsHash; } function getCurrentBlobCommitmentsHash() external view override(IRollup) returns (bytes32) { RollupStore storage rollupStore = STFLib.getStorage(); - return rollupStore.blobCommitmentsHash[rollupStore.tips.pendingBlockNumber]; + return rollupStore.blocks[rollupStore.tips.pendingBlockNumber].blobCommitmentsHash; } function getConfig(address _attester) diff --git a/l1-contracts/src/core/interfaces/IRollup.sol b/l1-contracts/src/core/interfaces/IRollup.sol index cfa59546c026..8ffba607ae9c 100644 --- a/l1-contracts/src/core/interfaces/IRollup.sol +++ b/l1-contracts/src/core/interfaces/IRollup.sol @@ -31,9 +31,17 @@ struct SubmitEpochRootProofArgs { bytes proof; } +/** + * @notice Struct for storing block data, set in proposal. + * @param archive - Archive tree root of the block + * @param headerHash - Hash of the proposed block header + * @param blobCommitmentsHash - H(...H(H(commitment_0), commitment_1).... commitment_n) - used to validate we are using the same blob commitments on L1 and in the rollup circuit + * @param slotNumber - This block's slot + */ struct BlockLog { bytes32 archive; - bytes32 headerHash; // hash of the proposed block header + bytes32 headerHash; + bytes32 blobCommitmentsHash; // TODO(#14646): Keep a running hash we iteratively overwrite per epoch, instead of per block. Slot slotNumber; } @@ -102,9 +110,6 @@ struct RollupStore { // to one another. mapping(address prover => mapping(Epoch epoch => bool claimed)) proverClaimed; RollupConfig config; - // TODO(#14646): We only ever need to store AZTEC_MAX_EPOCH_DURATION values below => make fixed length and overwrite once we start a new epoch - // Requires us to clear values on successful proven epoch and check when a block starts a new epoch. - mapping(uint256 blockNumber => bytes32) blobCommitmentsHash; // = H(...H(H(commitment_0), commitment_1).... commitment_n) - used to validate we are using the same blob commitments on L1 and in the rollup circuit } interface ITestRollup { diff --git a/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol b/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol index 9e17d1304601..8438cb0dbc90 100644 --- a/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol +++ b/l1-contracts/src/core/libraries/rollup/EpochProofLib.sol @@ -205,7 +205,7 @@ library EpochProofLib { // See BlobLib.sol -> validateBatchedBlob() and calculateBlobCommitmentsHash() for documentation on the below blob related inputs. // blobCommitmentsHash - publicInputs[offset] = rollupStore.blobCommitmentsHash[_end]; + publicInputs[offset] = rollupStore.blocks[_end].blobCommitmentsHash; offset += 1; // z diff --git a/l1-contracts/src/core/libraries/rollup/ProposeLib.sol b/l1-contracts/src/core/libraries/rollup/ProposeLib.sol index a97d8955807c..bd6181ddb888 100644 --- a/l1-contracts/src/core/libraries/rollup/ProposeLib.sol +++ b/l1-contracts/src/core/libraries/rollup/ProposeLib.sol @@ -134,8 +134,21 @@ library ProposeLib { RollupStore storage rollupStore = STFLib.getStorage(); uint256 blockNumber = ++rollupStore.tips.pendingBlockNumber; - rollupStore.blocks[blockNumber] = - BlockLog({archive: _args.archive, headerHash: v.headerHash, slotNumber: header.slotNumber}); + // Blob commitments are collected and proven per root rollup proof (=> per epoch), so we need to know whether we are at the epoch start: + bool isFirstBlockOfEpoch = + currentEpoch > STFLib.getEpochForBlock(blockNumber - 1) || blockNumber == 1; + bytes32 blobCommitmentsHash = BlobLib.calculateBlobCommitmentsHash( + rollupStore.blocks[blockNumber - 1].blobCommitmentsHash, + v.blobCommitments, + isFirstBlockOfEpoch + ); + + rollupStore.blocks[blockNumber] = BlockLog({ + archive: _args.archive, + headerHash: v.headerHash, + blobCommitmentsHash: blobCommitmentsHash, + slotNumber: header.slotNumber + }); FeeLib.writeFeeHeader( blockNumber, @@ -145,13 +158,6 @@ library ProposeLib { components.proverCost ); - // Blob commitments are collected and proven per root rollup proof (=> per epoch), so we need to know whether we are at the epoch start: - bool isFirstBlockOfEpoch = - currentEpoch > STFLib.getEpochForBlock(blockNumber - 1) || blockNumber == 1; - rollupStore.blobCommitmentsHash[blockNumber] = BlobLib.calculateBlobCommitmentsHash( - rollupStore.blobCommitmentsHash[blockNumber - 1], v.blobCommitments, isFirstBlockOfEpoch - ); - // @note The block number here will always be >=1 as the genesis block is at 0 v.inHash = rollupStore.config.inbox.consume(blockNumber); require( diff --git a/l1-contracts/src/core/libraries/rollup/STFLib.sol b/l1-contracts/src/core/libraries/rollup/STFLib.sol index 68cefdaf3102..7a4ff3afbc5c 100644 --- a/l1-contracts/src/core/libraries/rollup/STFLib.sol +++ b/l1-contracts/src/core/libraries/rollup/STFLib.sol @@ -22,8 +22,12 @@ library STFLib { rollupStore.config.vkTreeRoot = _genesisState.vkTreeRoot; rollupStore.config.protocolContractTreeRoot = _genesisState.protocolContractTreeRoot; - rollupStore.blocks[0] = - BlockLog({archive: _genesisState.genesisArchiveRoot, headerHash: 0, slotNumber: Slot.wrap(0)}); + rollupStore.blocks[0] = BlockLog({ + archive: _genesisState.genesisArchiveRoot, + headerHash: 0, + blobCommitmentsHash: 0, + slotNumber: Slot.wrap(0) + }); } function prune() internal { diff --git a/yarn-project/prover-node/src/prover-node-publisher.test.ts b/yarn-project/prover-node/src/prover-node-publisher.test.ts index 4b413144ee0f..d7b629295ab6 100644 --- a/yarn-project/prover-node/src/prover-node-publisher.test.ts +++ b/yarn-project/prover-node/src/prover-node-publisher.test.ts @@ -138,6 +138,7 @@ describe('prover-node-publisher', () => { Promise.resolve({ archive: blocks[Number(blockNumber) - 1].endArchiveRoot.toString(), headerHash: '0x', // unused, + blobCommitmentsHash: '0x', // unused, slotNumber: 0n, // unused, }), ); From 1019dd244569d35a085f161a189e23576a83d4da Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Fri, 6 Jun 2025 15:55:48 +0000 Subject: [PATCH 09/11] chore: update comments --- l1-contracts/src/core/interfaces/IRollup.sol | 2 +- l1-contracts/src/core/libraries/rollup/BlobLib.sol | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/l1-contracts/src/core/interfaces/IRollup.sol b/l1-contracts/src/core/interfaces/IRollup.sol index 8ffba607ae9c..0f77d039a89c 100644 --- a/l1-contracts/src/core/interfaces/IRollup.sol +++ b/l1-contracts/src/core/interfaces/IRollup.sol @@ -41,7 +41,7 @@ struct SubmitEpochRootProofArgs { struct BlockLog { bytes32 archive; bytes32 headerHash; - bytes32 blobCommitmentsHash; // TODO(#14646): Keep a running hash we iteratively overwrite per epoch, instead of per block. + bytes32 blobCommitmentsHash; // TODO(#14646): Keep a running hash we iteratively overwrite, instead of per block. Slot slotNumber; } diff --git a/l1-contracts/src/core/libraries/rollup/BlobLib.sol b/l1-contracts/src/core/libraries/rollup/BlobLib.sol index 611b85ee8ff0..9e78b5e35b35 100644 --- a/l1-contracts/src/core/libraries/rollup/BlobLib.sol +++ b/l1-contracts/src/core/libraries/rollup/BlobLib.sol @@ -32,7 +32,7 @@ library BlobLib { * @notice Validate an L2 block's blobs and return the blobHashes, the hashed blobHashes, and blob commitments. * @notice We assume that this propose transaction contains only Aztec blobs * Input bytes: - * input[:1] - num blobs in block + * input[0] - num blobs in block * input[1:] - blob commitments (48 bytes * num blobs in block) * @param _blobsInput - The above bytes to verify our input blob commitments match real blobs * @param _checkBlob - Whether to skip blob related checks. Hardcoded to true (See RollupCore.sol -> checkBlob), exists only to be overriden in tests. From 980cc32232d21c0c7399dcffe2dce3e27016cc46 Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Fri, 6 Jun 2025 16:30:20 +0000 Subject: [PATCH 10/11] chore: generate fixtures, update constants post merge --- .../crates/rollup-block-merge/Prover.toml | 558 +++---- .../crates/rollup-block-root/Prover.toml | 1393 ++++------------- .../crates/rollup-root/Prover.toml | 562 +++---- yarn-project/constants/src/constants.gen.ts | 4 +- 4 files changed, 881 insertions(+), 1636 deletions(-) diff --git a/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml b/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml index 2865789de28c..f56b2a45e181 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml +++ b/noir-projects/noir-protocol-circuits/crates/rollup-block-merge/Prover.toml @@ -2,7 +2,7 @@ [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs] out_hash = "0x0000000000000000000000000000000000000000000000000000000000000000" proposed_block_header_hashes = [ - "0x007e2bd914a7399b58061b737d14134d716fe0074a4607bc8a2f58f56dd59a43", + "0x00f601c89eb607707bc46ea5d22cf6d6556fa8858d09a71f18ae504a87dfd3d7", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000", @@ -51,57 +51,59 @@ proposed_block_header_hashes = [ "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000" ] -vk_tree_root = "0x16e00802cd510c69cab77438b8f92c7fc6c1f77e983b2302bcb3e85e15c95eac" -protocol_contract_tree_root = "0x19ba79743ba96572bcb08efcff26637d21a4342b6eb58870935b0cbbd14d24cf" -prover_id = "0x0000000000000000000000003c44cdddb6a900fa2b585dd299e03d12fa4293bc" + + [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.constants] + vk_tree_root = "0x18a716df9395701b49b118039a99daf5882acb7d334d210ebcd308a266d566af" + protocol_contract_tree_root = "0x0199945561f283b4d3d19cefd6ce25dc1e8496c1ac0292f4d61a04cc6018f2e3" + prover_id = "0x0000000000000000000000003c44cdddb6a900fa2b585dd299e03d12fa4293bc" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.previous_archive] - root = "0x2a3fbfdd7f5fb12e887eacaae0108766b0a9d928b58504857dcebe633fc7ec6d" + root = "0x27dfcbca2cdc6e2e94f7ac5d5d652fbc48d6735b554679c115c00057c18e5ed9" next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000009" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.new_archive] - root = "0x179ae87479c2a7beed82435029f39193e34a9c4de23ff3fbbef3f3b226ebe2ad" + root = "0x1dd101b1f4d09f1a51ea33850ce2b2e712ab47e38e3bdf5214e6f4cf9bd30bb6" next_available_leaf_index = "0x000000000000000000000000000000000000000000000000000000000000000a" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.start_global_variables] chain_id = "0x0000000000000000000000000000000000000000000000000000000000007a69" - version = "0x000000000000000000000000000000000000000000000000000000002d66bdd9" + version = "0x00000000000000000000000000000000000000000000000000000000e802a0d3" block_number = "0x0000000000000000000000000000000000000000000000000000000000000009" - slot_number = "0x0000000000000000000000000000000000000000000000000000000000000042" - timestamp = "0x00000000000000000000000000000000000000000000000000000000683db8e3" + slot_number = "0x0000000000000000000000000000000000000000000000000000000000000041" + timestamp = "0x00000000000000000000000000000000000000000000000000000000684320c4" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.start_global_variables.coinbase] - inner = "0x0000000000000000000000001e12c3c9389ae0c796c6844a5510c60236b561e1" + inner = "0x000000000000000000000000def07919db40b30353aeb0869282ace6a445b596" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.start_global_variables.fee_recipient] inner = "0x0000000000000000000000000000000000000000000000000000000000000000" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.start_global_variables.gas_fees] fee_per_da_gas = "0x0000000000000000000000000000000000000000000000000000000000000000" - fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000fb4" + fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000e88" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.end_global_variables] chain_id = "0x0000000000000000000000000000000000000000000000000000000000007a69" - version = "0x000000000000000000000000000000000000000000000000000000002d66bdd9" + version = "0x00000000000000000000000000000000000000000000000000000000e802a0d3" block_number = "0x0000000000000000000000000000000000000000000000000000000000000009" - slot_number = "0x0000000000000000000000000000000000000000000000000000000000000042" - timestamp = "0x00000000000000000000000000000000000000000000000000000000683db8e3" + slot_number = "0x0000000000000000000000000000000000000000000000000000000000000041" + timestamp = "0x00000000000000000000000000000000000000000000000000000000684320c4" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.end_global_variables.coinbase] - inner = "0x0000000000000000000000001e12c3c9389ae0c796c6844a5510c60236b561e1" + inner = "0x000000000000000000000000def07919db40b30353aeb0869282ace6a445b596" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.end_global_variables.fee_recipient] inner = "0x0000000000000000000000000000000000000000000000000000000000000000" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.end_global_variables.gas_fees] fee_per_da_gas = "0x0000000000000000000000000000000000000000000000000000000000000000" - fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000fb4" + fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000e88" [[inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.fees]] - value = "0x0000000000000000000000000000000000000000000000000000000003678600" + value = "0x0000000000000000000000000000000000000000000000000000000001afbcb0" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.fees.recipient] - inner = "0x0000000000000000000000001e12c3c9389ae0c796c6844a5510c60236b561e1" + inner = "0x000000000000000000000000def07919db40b30353aeb0869282ace6a445b596" [[inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.fees]] value = "0x0000000000000000000000000000000000000000000000000000000000000000" @@ -424,15 +426,15 @@ gamma_acc = "0x0000000000000000000000000000000000000000000000000000000000000000" ] [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator] -blob_commitments_hash_acc = "0x00187829a9ce563ef3b09676aab68d45ff788b4ebcaf50d8537dc8a60bff16d5" -z_acc = "0x037c91f7c20cd129e530d7394a5b13712490b6519ce3146eefb6142707d1feed" -gamma_acc = "0x2c165f80e26ef0e01d0df74c3ae4a6d8d7041fbea2d441ebcb6f8572f7135b8e" +blob_commitments_hash_acc = "0x00be044db88ceee39efdc47cedad851d9b1dc4e4b4272935e6de6da093abb3c3" +z_acc = "0x0d12a012b6c05b78773a549210a174406434552e362528cd1c2c1d031acb1d02" +gamma_acc = "0x128f1b5265eff011209236b41b571b4d8319d0c5c3e90d81aa380c228e23ab64" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.y_acc] limbs = [ - "0xf6faa1e454907bcf639fbf08893c9a", - "0x646a3a370a047c531df74f8938396d", - "0x11bf" + "0xcb7e7ce6b998f22b905112367dde7c", + "0x2a1774901196c680a276b45cf53c0b", + "0x5d62" ] [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.c_acc] @@ -440,35 +442,35 @@ gamma_acc = "0x2c165f80e26ef0e01d0df74c3ae4a6d8d7041fbea2d441ebcb6f8572f7135b8e" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.c_acc.x] limbs = [ - "0x891544dcb6a857d6a29f469e0c1dfb", - "0xa733e1be542137fb2c91536493ac1f", - "0xafb101fff9677977445d144daeb7f5", - "0x175f99" + "0x8b968c6b0d2dd286d828ebfb4171c1", + "0x680bc6b6470feccc4d9d385105830b", + "0x564d37b9f4a72ce27df06d51dfd234", + "0x0883ee" ] [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.c_acc.y] limbs = [ - "0x17bde297bf99f1e5e4a791acb171c6", - "0xbe33c99c2faf15f2d76e90595e59fe", - "0xa0dfda2abded52ad4053f7b0e493b9", - "0x097585" + "0xafe1bc16d0cfec75cc5d842e9c245f", + "0x6f1b2d5fc0886f40adfdf8d72f7b2a", + "0xdeebdbc3bd45de655d959cf06da350", + "0x06378f" ] [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.gamma_pow_acc] limbs = [ - "0x8a8177d338419dc69e0c4443523d53", - "0xa5a4866d897a9d97c855f70a6887af", - "0x1e98" + "0x95da7a1ea4bd8ad5b0c18f6300803a", + "0xf648159624e497ed4a2660f515f051", + "0x012b" ] [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges] -z = "0x0cc935911cd6e85cd04a92e9140e34d4c8a576c5f9f85959dd30706c7021f4ac" +z = "0x1555fff6491955b1ee48b311479baf4e34b1643fe58f29816557a175d28b4520" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges.gamma] limbs = [ - "0x8a8177d338419dc69e0c4443523d53", - "0xa5a4866d897a9d97c855f70a6887af", - "0x1e98" + "0x95da7a1ea4bd8ad5b0c18f6300803a", + "0xf648159624e497ed4a2660f515f051", + "0x012b" ] [inputs.previous_rollup_data.proof] @@ -1013,12 +1015,12 @@ fields = [ [inputs.previous_rollup_data.vk_data] leaf_index = "0x000000000000000000000000000000000000000000000000000000000000000a" sibling_path = [ - "0x0875a4e4f269184b2ae54b26a914d419a529f73ed8b652665533e243805898b6", - "0x1e9915cf8f687c54fa6552aa96577450c5d22fd5ee294fa7eb347f75a41dbd7c", - "0x01927c72152cae3e36ff938a3aa83d84f7714194e2d7be1cec10173311bca5ab", - "0x09ecb7bbeef3ed164ac9bdefeaa1551414a28986e1d25698356c3696b31b2b4a", - "0x284648238edcf362d74c8a007e5fc8a4fc20d36b07b2ee02ab2ff3662bed0ec2", - "0x0b37739682b911e91d9ccf8d84210dcf05d84e233ba11fd19cb9ebeaa715d8f9" + "0x1c0e195bfba4d8b90f2bc073c788b9b40e84c66a62f7387f4dea58bc644f0f42", + "0x139de4c270219c111c92f4daf6dd93173323c55c14b7da6858b76938ebd5c879", + "0x1f4bf27c83777dcdd1375c505a5846bb460d0c3bb59ea562fb994262fbdbf00d", + "0x142550b289ab91b05b698f2d2d0c4dd0cdf85bb8d2eaeceaaf0246167097bbec", + "0x17798edd8887994dbbe6b0eeff9a164f0f1c03d375b57374781c5ebe00897543", + "0x2fc405eff6ed7ba9c05dc1963e5522efdc001f0070edf06408ad50166aed592f" ] [inputs.previous_rollup_data.vk_data.vk] @@ 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- total_mana_used = "0x0000000000000000000000000000000000000000000000000000000000003780" + total_fees = "0x0000000000000000000000000000000000000000000000000000000001afbcb0" + total_mana_used = "0x0000000000000000000000000000000000000000000000000000000000001db6" [inputs.data.previous_block_header.last_archive] - root = "0x2a3fbfdd7f5fb12e887eacaae0108766b0a9d928b58504857dcebe633fc7ec6d" + root = "0x27dfcbca2cdc6e2e94f7ac5d5d652fbc48d6735b554679c115c00057c18e5ed9" next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000000000000000009" [inputs.data.previous_block_header.content_commitment] num_txs = "0x0000000000000000000000000000000000000000000000000000000000000001" - blobs_hash = "0x00e8d48f36c920c6614610817c0a85f2768252fcc9158df608e1f9f449d40619" + blobs_hash = "0x00087e114b6bf5c14ca1a8d81391bf604e2d7e08ebbc8323b6fc922cab7dad16" in_hash = "0x00089a9d421a82c4a25f7acbebe69e638d5b064fa8a60e018793dcb0be53752c" out_hash = 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"0x2437da91bd0b0dd21f02e725239664f77bf20c6740193536a0f890ea58c2abd5" -next_available_leaf_index = "0x000000000000000000000000000000000000000000000000000000000000008e" +root = "0x2cf7b6f848ef2f3c46d75c7830549a15707c07eff1aae39d22feb2e1b3dbe8ba" +next_available_leaf_index = "0x000000000000000000000000000000000000000000000000000000000000008b" [inputs.data.previous_block_header.global_variables] chain_id = "0x0000000000000000000000000000000000000000000000000000000000007a69" - version = "0x000000000000000000000000000000000000000000000000000000002d66bdd9" + version = "0x00000000000000000000000000000000000000000000000000000000e802a0d3" block_number = "0x0000000000000000000000000000000000000000000000000000000000000009" - slot_number = "0x0000000000000000000000000000000000000000000000000000000000000042" - timestamp = "0x00000000000000000000000000000000000000000000000000000000683db8e3" + slot_number = "0x0000000000000000000000000000000000000000000000000000000000000041" + timestamp = "0x00000000000000000000000000000000000000000000000000000000684320c4" [inputs.data.previous_block_header.global_variables.coinbase] - inner = "0x0000000000000000000000001e12c3c9389ae0c796c6844a5510c60236b561e1" + inner = "0x000000000000000000000000def07919db40b30353aeb0869282ace6a445b596" [inputs.data.previous_block_header.global_variables.fee_recipient] inner = "0x0000000000000000000000000000000000000000000000000000000000000000" [inputs.data.previous_block_header.global_variables.gas_fees] fee_per_da_gas = "0x0000000000000000000000000000000000000000000000000000000000000000" - fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000fb4" + fee_per_l2_gas = "0x0000000000000000000000000000000000000000000000000000000000000e88" [inputs.data.start_blob_accumulator] - blob_commitments_hash_acc = "0x00187829a9ce563ef3b09676aab68d45ff788b4ebcaf50d8537dc8a60bff16d5" - z_acc = "0x037c91f7c20cd129e530d7394a5b13712490b6519ce3146eefb6142707d1feed" - gamma_acc = "0x2c165f80e26ef0e01d0df74c3ae4a6d8d7041fbea2d441ebcb6f8572f7135b8e" + blob_commitments_hash_acc = "0x00be044db88ceee39efdc47cedad851d9b1dc4e4b4272935e6de6da093abb3c3" + z_acc = "0x0d12a012b6c05b78773a549210a174406434552e362528cd1c2c1d031acb1d02" + gamma_acc = "0x128f1b5265eff011209236b41b571b4d8319d0c5c3e90d81aa380c228e23ab64" [inputs.data.start_blob_accumulator.y_acc] limbs = [ - "0xf6faa1e454907bcf639fbf08893c9a", - "0x646a3a370a047c531df74f8938396d", - "0x11bf" + "0xcb7e7ce6b998f22b905112367dde7c", + "0x2a1774901196c680a276b45cf53c0b", + "0x5d62" ] [inputs.data.start_blob_accumulator.c_acc] @@ -3053,132 +2290,132 @@ next_available_leaf_index = "0x0000000000000000000000000000000000000000000000000 [inputs.data.start_blob_accumulator.c_acc.x] limbs = [ - "0x891544dcb6a857d6a29f469e0c1dfb", - "0xa733e1be542137fb2c91536493ac1f", - "0xafb101fff9677977445d144daeb7f5", - "0x175f99" + "0x8b968c6b0d2dd286d828ebfb4171c1", + "0x680bc6b6470feccc4d9d385105830b", + "0x564d37b9f4a72ce27df06d51dfd234", + "0x0883ee" ] [inputs.data.start_blob_accumulator.c_acc.y] limbs = [ - "0x17bde297bf99f1e5e4a791acb171c6", - "0xbe33c99c2faf15f2d76e90595e59fe", - "0xa0dfda2abded52ad4053f7b0e493b9", - "0x097585" + "0xafe1bc16d0cfec75cc5d842e9c245f", + "0x6f1b2d5fc0886f40adfdf8d72f7b2a", + "0xdeebdbc3bd45de655d959cf06da350", + "0x06378f" ] [inputs.data.start_blob_accumulator.gamma_pow_acc] limbs = [ - "0x8a8177d338419dc69e0c4443523d53", - "0xa5a4866d897a9d97c855f70a6887af", - "0x1e98" + "0x95da7a1ea4bd8ad5b0c18f6300803a", + "0xf648159624e497ed4a2660f515f051", + "0x012b" ] [inputs.data.final_blob_challenges] - z = "0x0cc935911cd6e85cd04a92e9140e34d4c8a576c5f9f85959dd30706c7021f4ac" + z = "0x1555fff6491955b1ee48b311479baf4e34b1643fe58f29816557a175d28b4520" [inputs.data.final_blob_challenges.gamma] limbs = [ - "0x8a8177d338419dc69e0c4443523d53", - "0xa5a4866d897a9d97c855f70a6887af", - "0x1e98" + "0x95da7a1ea4bd8ad5b0c18f6300803a", + "0xf648159624e497ed4a2660f515f051", 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b/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml index 689cfc6febeb..38f06d2fe9d8 100644 --- a/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml +++ b/noir-projects/noir-protocol-circuits/crates/rollup-root/Prover.toml @@ -2,8 +2,8 @@ [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs] out_hash = "0x0000000000000000000000000000000000000000000000000000000000000000" proposed_block_header_hashes = [ - "0x007e2bd914a7399b58061b737d14134d716fe0074a4607bc8a2f58f56dd59a43", - "0x00b4bcc0d5d88dc2335625aa30b1b29a728e7c593e2ba4c00284ab2ed4b951be", + "0x00f601c89eb607707bc46ea5d22cf6d6556fa8858d09a71f18ae504a87dfd3d7", + "0x0013fd7b44a6b94fe36b58bd65abdbf053a3079869f888cb01ee0797c8e189c4", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000000", @@ -51,63 +51,65 @@ 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+gamma_acc = "0x22f9e743f026498a102bb312bc96113c43fcb092338db03b1d080c351a4ec4b8" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.y_acc] limbs = [ - "0x3b04fdb9c7401fb9121503994972dd", - "0x61c18838303cec1ffbad67914c42b5", - "0x0ed4" + "0xe739ec2688c41ed9836fd3ba5339bd", + "0xe1c2befdaad71abc9b8f3a291da05a", + "0x3074" ] [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.c_acc] @@ -1581,35 +1585,35 @@ gamma_acc = "0x174e7d512e85d5f41452f6729540633a8d52068598fe0841b1176aa0cecf3476" [inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.end_blob_accumulator.c_acc.x] limbs = [ - "0xe06fc3e2fc3219560629716e9fad8e", - "0xfb26c260e5342a5d447b448c31ba51", - "0x3f21db8391ba463541883c9253f678", - "0x14e75a" + "0x0047e9fd18cd7fea3dbd4ef9b60375", + "0x9dad8dbb8e84e429e9ff6c1e535dcf", + "0xfe9b3261ca4408801d77da86f73138", + "0x0a1198" ] 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[inputs.previous_rollup_data.block_root_or_block_merge_public_inputs.blob_public_inputs.final_blob_challenges.gamma] limbs = [ - "0x8a8177d338419dc69e0c4443523d53", - "0xa5a4866d897a9d97c855f70a6887af", - "0x1e98" + "0x95da7a1ea4bd8ad5b0c18f6300803a", + "0xf648159624e497ed4a2660f515f051", + "0x012b" ] [inputs.previous_rollup_data.proof] @@ -2154,12 +2158,12 @@ fields = [ [inputs.previous_rollup_data.vk_data] leaf_index = "0x000000000000000000000000000000000000000000000000000000000000000a" sibling_path = [ - "0x0875a4e4f269184b2ae54b26a914d419a529f73ed8b652665533e243805898b6", - "0x1e9915cf8f687c54fa6552aa96577450c5d22fd5ee294fa7eb347f75a41dbd7c", - "0x01927c72152cae3e36ff938a3aa83d84f7714194e2d7be1cec10173311bca5ab", - "0x09ecb7bbeef3ed164ac9bdefeaa1551414a28986e1d25698356c3696b31b2b4a", - "0x284648238edcf362d74c8a007e5fc8a4fc20d36b07b2ee02ab2ff3662bed0ec2", - "0x0b37739682b911e91d9ccf8d84210dcf05d84e233ba11fd19cb9ebeaa715d8f9" + 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"0x000000000000000000000000000000000028807e041559ba384e4ccd4cf81e77" + "0x0000000000000000000000000000002b638e616b50f7cac0188b36e8f0e4f642", + "0x000000000000000000000000000000000028d5d5c147eeca9a004db5429ebe51", + "0x00000000000000000000000000000007b7551a511d202b1e7a3a49e0082e3f4e", + "0x00000000000000000000000000000000000f2c10970a75d230415079bb1d0439" ] - hash = "0x11e1558e801cd19ddde9b764222e036bfaf9689c223bec8522e2434a4816cb09" + hash = "0x2761f50950d3c726462c3a286733e8554c72961e67be9ec983f225a2bf016697" diff --git a/yarn-project/constants/src/constants.gen.ts b/yarn-project/constants/src/constants.gen.ts index 7658a1465e9b..9ca229f3cb60 100644 --- a/yarn-project/constants/src/constants.gen.ts +++ b/yarn-project/constants/src/constants.gen.ts @@ -204,8 +204,8 @@ export const AVM_ACCUMULATED_DATA_LENGTH = 400; export const PRIVATE_TO_PUBLIC_KERNEL_CIRCUIT_PUBLIC_INPUTS_LENGTH = 1828; export const PRIVATE_TO_ROLLUP_KERNEL_CIRCUIT_PUBLIC_INPUTS_LENGTH = 805; export const AVM_CIRCUIT_PUBLIC_INPUTS_LENGTH = 1020; -export const CONSTANT_ROLLUP_DATA_LENGTH = 13; -export const BASE_OR_MERGE_PUBLIC_INPUTS_LENGTH = 52; +export const BLOCK_CONSTANT_DATA_LENGTH = 15; +export const EPOCH_CONSTANT_DATA_LENGTH = 3; export const BLOCK_ROOT_OR_BLOCK_MERGE_PUBLIC_INPUTS_LENGTH = 210; export const ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH = 158; export const NOTE_HASHES_NUM_BYTES_PER_BASE_ROLLUP = 2048; From 61a4d76d6a369437c695fa7eb86224116ea08109 Mon Sep 17 00:00:00 2001 From: MirandaWood Date: Mon, 9 Jun 2025 12:51:59 +0000 Subject: [PATCH 11/11] chore: post merge fixes, update fixtures and constants --- .../src/core/libraries/ConstantsGen.sol | 2 +- l1-contracts/test/base/DecoderBase.sol | 6 +- l1-contracts/test/fixtures/empty_block_1.json | 16 ++-- l1-contracts/test/fixtures/empty_block_2.json | 22 ++--- l1-contracts/test/fixtures/mixed_block_1.json | 90 +++++++++--------- l1-contracts/test/fixtures/mixed_block_2.json | 94 +++++++++---------- .../test/fixtures/single_tx_block_1.json | 42 ++++----- .../test/fixtures/single_tx_block_2.json | 46 ++++----- .../crates/types/src/constants.nr | 3 +- 9 files changed, 161 insertions(+), 160 deletions(-) diff --git a/l1-contracts/src/core/libraries/ConstantsGen.sol b/l1-contracts/src/core/libraries/ConstantsGen.sol index 25e457e2cf86..ac57fe7570ec 100644 --- a/l1-contracts/src/core/libraries/ConstantsGen.sol +++ b/l1-contracts/src/core/libraries/ConstantsGen.sol @@ -24,7 +24,7 @@ library Constants { 1002640778211850180189505934749257244705296832326768971348723156503780793518; uint256 internal constant FEE_JUICE_ADDRESS = 5; uint256 internal constant BLS12_POINT_COMPRESSED_BYTES = 48; - uint256 internal constant PROPOSED_BLOCK_HEADER_LENGTH_BYTES = 348; + uint256 internal constant PROPOSED_BLOCK_HEADER_LENGTH_BYTES = 316; uint256 internal constant ROOT_ROLLUP_PUBLIC_INPUTS_LENGTH = 158; uint256 internal constant NUM_MSGS_PER_BASE_PARITY = 4; uint256 internal constant NUM_BASE_PARITY_PER_ROOT_PARITY = 4; diff --git a/l1-contracts/test/base/DecoderBase.sol b/l1-contracts/test/base/DecoderBase.sol index df367cf892eb..a076ee134caa 100644 --- a/l1-contracts/test/base/DecoderBase.sol +++ b/l1-contracts/test/base/DecoderBase.sol @@ -78,7 +78,8 @@ contract DecoderBase is TestBase { struct AlphabeticalData { bytes32 archive; - bytes blobInputs; + bytes batchedBlobInputs; + bytes blobCommitments; uint256 blockNumber; bytes body; AlphabeticalHeader header; @@ -104,7 +105,8 @@ contract DecoderBase is TestBase { Full memory result = Full({ block: Data({ archive: full.block.archive, - blobInputs: full.block.blobInputs, + blobCommitments: full.block.blobCommitments, + batchedBlobInputs: full.block.batchedBlobInputs, blockNumber: full.block.blockNumber, body: full.block.body, header: ProposedHeader({ diff --git a/l1-contracts/test/fixtures/empty_block_1.json b/l1-contracts/test/fixtures/empty_block_1.json index cb48807833b2..a920a3a04881 100644 --- a/l1-contracts/test/fixtures/empty_block_1.json +++ b/l1-contracts/test/fixtures/empty_block_1.json @@ -25,7 +25,7 @@ "l2ToL1Messages": [] }, "block": { - "archive": "0x22c4066e013ee12c4e9c599c9ceb3de851239295e3c0dfa5a25a9c6e69419c1b", + "archive": "0x2da1fdddddc2040525b9f2fd521f4f0f482b4ea0251f6634f87353f2e47690f5", "blobCommitments": "0x01c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "batchedBlobInputs": "0x010657f37554c781402a22917dee2f75def7ab966d7b770905398eba3c4440140ac4f3ee53aedc4865073ae7fb664e7401d10eadbe3bbcc266c35059f14826bb0000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "blockNumber": 1, @@ -38,17 +38,17 @@ "outHash": "0x0000000000000000000000000000000000000000000000000000000000000000", "numTxs": 0 }, - "slotNumber": "0x0000000000000000000000000000000000000000000000000000000000000029", - "timestamp": 1747749884, - "coinbase": "0x0610759295fcc7f3cca7b05b0d9045362e3a1a3d", - "feeRecipient": "0x20ea5d85b31f45a87b24c0a7f19d4e4f544d40c13afd387b8ef857e92ccd8149", + "slotNumber": 70, + "timestamp": 1749475223, + "coinbase": "0xf99f10bf3b258febcb05d13bec966bc4b889653c", + "feeRecipient": "0x024d073cb1ea3455602c6a2c55bb4da6b03f4af17c9d79dc5cc9894bf053b42f", "gasFees": { "feePerDaGas": 0, - "feePerL2Gas": 55370 + "feePerL2Gas": 36180 }, "totalManaUsed": 0 }, - "header": "0x0237797d6a2c04d20d4fa06b74482bd970ccd51a43d9b05b57e9b91fa1ae1cae0000000000000000000000000000000000000000000000000000000000000000001cedbd7ea5309ef9d1d159209835409bf41b6b1802597a52fa70cc82e934d900089a9d421a82c4a25f7acbebe69e638d5b064fa8a60e018793dcb0be53752c0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002900000000682c8bfc0610759295fcc7f3cca7b05b0d9045362e3a1a3d20ea5d85b31f45a87b24c0a7f19d4e4f544d40c13afd387b8ef857e92ccd81490000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000d84a0000000000000000000000000000000000000000000000000000000000000000", + "headerHash": "0x00e6a751ff76adbfbdd5b31ac0509fa6c91eb65fbbf6f5cb1570b2f3a8c3afd5", "numTxs": 0 } -} +} \ No newline at end of file diff --git a/l1-contracts/test/fixtures/empty_block_2.json b/l1-contracts/test/fixtures/empty_block_2.json index 9423f785aee8..1268811b977a 100644 --- a/l1-contracts/test/fixtures/empty_block_2.json +++ b/l1-contracts/test/fixtures/empty_block_2.json @@ -25,30 +25,30 @@ "l2ToL1Messages": [] }, "block": { - "archive": "0x14d2d05e9937165d44e6bf9655aed67e8394e7abad8fc7f22a5306110a7a7851", + "archive": "0x0c06d4795053fa3b1c1537288a7d0e19269f14dba94c22c558905bf4c50ce9ce", "blobCommitments": "0x01c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "batchedBlobInputs": "0x010657f37554c781402a22917dee2f75def7ab966d7b770905398eba3c44401416743433c1b3d551429cfbc09ab7899d4e14d2b5786a3243e29bc9c6c0d76bf10000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000c00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "blockNumber": 2, "body": "0x00000000", - "decodedHeader": { - "lastArchiveRoot": "0x22c4066e013ee12c4e9c599c9ceb3de851239295e3c0dfa5a25a9c6e69419c1b", + "header": { + "lastArchiveRoot": "0x2da1fdddddc2040525b9f2fd521f4f0f482b4ea0251f6634f87353f2e47690f5", "contentCommitment": { "blobsHash": "0x001cedbd7ea5309ef9d1d159209835409bf41b6b1802597a52fa70cc82e934d9", - "inHash": "0x00f23cf98c8ccc17366198350a879640eb86c05254cb11dd721e456ba55d5af2", + "inHash": "0x008ee8a97d9ff1006cbc1dea58fe6a2c6e58c9e1ed48cf827d92141f3645da8a", "outHash": "0x0000000000000000000000000000000000000000000000000000000000000000", "numTxs": 0 }, - "slotNumber": "0x0000000000000000000000000000000000000000000000000000000000000032", - "timestamp": 1747750100, - "coinbase": "0x0610759295fcc7f3cca7b05b0d9045362e3a1a3d", - "feeRecipient": "0x20ea5d85b31f45a87b24c0a7f19d4e4f544d40c13afd387b8ef857e92ccd8149", + "slotNumber": 76, + "timestamp": 1749475439, + "coinbase": "0xf99f10bf3b258febcb05d13bec966bc4b889653c", + "feeRecipient": "0x024d073cb1ea3455602c6a2c55bb4da6b03f4af17c9d79dc5cc9894bf053b42f", "gasFees": { "feePerDaGas": 0, - "feePerL2Gas": 3060 + "feePerL2Gas": 3070 }, "totalManaUsed": 0 }, - "header": "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", + "headerHash": "0x006b77d24600fc20dc1c08675b7467307bc6429ae032a76aafdbe0d6fd57a161", "numTxs": 0 } -} +} \ No newline at end of file diff --git a/l1-contracts/test/fixtures/mixed_block_1.json b/l1-contracts/test/fixtures/mixed_block_1.json index dafd4eba51ed..6b9b70b95cd6 100644 --- a/l1-contracts/test/fixtures/mixed_block_1.json +++ b/l1-contracts/test/fixtures/mixed_block_1.json @@ -23,65 +23,65 @@ }, "messages": { "l2ToL1Messages": [ - "0x00a5aa1166625896bde633744d5cb9fd4d7327067ffbf2c0268f34e6c3731c6d", - "0x001bf2a9a2f21fdde703e72f206e0714a4bd685407082051a124ef5c331af491", - "0x0028584be9cb0d013a5b68ae702bc08e0e4fb7cf6e44ce1eeb545dac10da46d8", - "0x00e6fd2d980ee9441a8394f7e862bde18255df154c5f6ed20b051fd1b3beec14", - "0x0056abfa9fe2771224cfd85025652d500229a359f87a796f47a9dd276f67b204", - "0x00ba66a1d2671ae53581211bc2f3aea1d0a5ca6a42adc329e58df7a7e0ce4861", - "0x00de146f925270c90f18e7dc52ae68f729e6795d2bf4fa7f4054ebc0105a5fcc", - "0x002de9e4377b5c483ac40477ec4c8225adf25c79a1a320dca74a02943fd1e37f", - "0x0026263fabd0ba476199c8814cb50dacb2a65367e5fa9bde3157c1ba9e5f065e", - "0x00b3a7b6a97b0c45beaed0951a33765ea09973fc5528a38843bebc4143cbf831", - "0x00a84fd7f22c19d59a4d178e223afbbf220dfa116a82e8ba96f6fc12d627381b", - "0x007105dddf62c37312e69ca06498d97ed350e711f79b1bfe358198e36eb61d55", - "0x0089cf3d139051b33b0fa6da6d5b3366970f751633fe3900461fa2bbb2e4e8fd", - "0x003e03dc400491b42b76f7eac90e77a5c6b8537954b20f984f02123299f55fa2", - "0x00bff8d90ea0b1ccd122972ff0eb4196d3e16da93f4bbcb460b057045a1e23d0", - "0x0029feadaffced0a58260f45999ea272e816717b2f7e6165bab42ca8629be727", - "0x00d6b6e3620fae6081f4af4a50285062b6e33ac35e33a88336fa5678914f97da", - "0x00f8b54b211db3b65028282b9e519e8e0aa5f45c0e18fbae5533bdd33878d85f", - "0x00f6f4623b109f8550bb3e8cc0e473a0dc17fc3da5b3a1bf6380d960bafd765f", - "0x00b5c6f0cadbde2a1036c1585259b56c72e4918828cfe926a8ebc20c821f3939", - "0x0034a1edde0a6682e163fdc2063dac05febe176380a835c628661ba6787d945d", - "0x00e71944a2ecaf60c4d863388e61a63ebe4680e378ca0ff510b81dd26ee045c3", - 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"0x00d304b115e67c5091445bd1dd33d5976b0ab6f86752c4dfa43560e56e449362", "numTxs": 1 } -} +} \ No newline at end of file diff --git a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr index fc2171841ac0..4cfde69a78bd 100644 --- a/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr +++ b/noir-projects/noir-protocol-circuits/crates/types/src/constants.nr @@ -334,8 +334,7 @@ pub global PROPOSED_BLOCK_HEADER_LENGTH_BYTES: u32 = (PROPOSED_BLOCK_HEADER_LENG + 8 /* timestamp */ + 20 /* coinbase */ + 16 /* gas_fees.fee_per_da_gas */ - + 16 /* gas_fees.fee_per_l2_gas */ -; + + 16 /* gas_fees.fee_per_l2_gas */; pub global PRIVATE_CIRCUIT_PUBLIC_INPUTS_LENGTH: u32 = CALL_CONTEXT_LENGTH + 4 + MAX_BLOCK_NUMBER_LENGTH