2324 docstrings not included in the manual: is_coprime :: Tuple{NfAbsOrdIdl, NfAbsOrdIdl} NfAbsOrdIdlSet :: Tuple{Map, NfOrdIdl} hasalgebra kodaira_symbol :: Tuple{EllCrv{nf_elem}, NfOrdIdl} kodaira_symbol :: Tuple{EllCrv{QQFieldElem}, Any} FqNmodMatSpace find_morphism :: Union{Tuple{T}, Tuple{T, T}} where T<:FinField FqMPolyRing padic islll_reduced zero_map :: Tuple{GrpAbFinGen} b_invars :: Tuple{EllCrv} isnumber fpMPolyRingElem hilbert :: Tuple{QQMatrixSpace} gen_mod_pk :: Union{Tuple{ZZRingElem}, Tuple{ZZRingElem, ZZRingElem}} common_eigenspaces :: Union{Tuple{Vector{<:MatElem{T}}}, Tuple{T}} where T<:FieldElem integral_closure :: Tuple{ZZRing, AnticNumberField} FmpzPolyRing isprimitive_over polygamma :: Tuple{acb, acb} polygamma :: Union{Tuple{ComplexFieldElem, ComplexFieldElem}, Tuple{ComplexFieldElem, ComplexFieldElem, Int64}} FpMPolyRingElem isimaginary rising_factorial :: Tuple{arb, Int64} rising_factorial :: Tuple{Int64, Int64} rising_factorial :: Union{Tuple{QQFieldElem, Int64, RealField}, Tuple{QQFieldElem, Int64, RealField, Int64}} rising_factorial :: Tuple{QQFieldElem, Int64, ArbField} rising_factorial :: Tuple{ComplexFieldElem, Int64} rising_factorial :: Tuple{ZZRingElem, ZZRingElem} rising_factorial :: Tuple{ZZRingElem, Int64} rising_factorial :: Union{Tuple{RealFieldElem, Int64}, Tuple{RealFieldElem, Int64, Int64}} rising_factorial :: Tuple{acb, Int64} solvemod :: Tuple{ZZRingElem, ZZRingElem, ZZRingElem} factor_new :: Tuple{PolyRingElem{nf_elem}} locally_free_class_group_with_disc_log :: Tuple{Hecke.AlgAssAbsOrd} dual :: Tuple{GrpAbFinGen} torsion_points :: Tuple{EllCrv{QQFieldElem}} height_pairing :: Union{Tuple{T}, Tuple{EllCrvPt{T}, EllCrvPt{T}}, Tuple{EllCrvPt{T}, EllCrvPt{T}, Int64}} where T<:Union{QQFieldElem, nf_elem} euler_phi_inv_fac_elem :: Tuple{ZZRingElem} euler_phi_inv_fac_elem :: Tuple{ZZRingElem, NfOrd} isfrom_db rref :: Union{Tuple{SMat{T}}, Tuple{T}} where T<:FieldElement combination :: Tuple{Hecke.MPolyFact.RootCtx} is_invertible :: Tuple{NfAbsOrdIdl} is_invertible :: Tuple{Hecke.AbsAlgAssElem} infinite_place :: Tuple{Hecke.NumFieldEmb} clrbit! :: Tuple{ZZRingElem, Int64} narrow_picard_group :: Tuple{NfOrd} FqFiniteField fq_mat spectrum :: Union{Tuple{T}, Tuple{MatElem{T}, Any}} where T<:FieldElem spectrum :: Union{Tuple{MatElem{T}}, Tuple{T}} where T<:FieldElem QQMatrix genus_representatives :: Tuple{QuadLat} O :: Tuple{FlintPadicField, Integer} O :: Tuple{FlintQadicField, Integer} O :: Tuple{FlintQadicField, QQFieldElem} O :: Tuple{FlintPadicField, QQFieldElem} O :: Tuple{FlintPadicField, ZZRingElem} O :: Tuple{FlintQadicField, ZZRingElem} O :: Tuple{ZZLaurentSeriesRingElem} O :: Union{Tuple{FlintPuiseuxSeriesElem{T}}, Tuple{T}} where T<:RingElem hyperelliptic_polynomials :: Union{Tuple{HypellCrv{T}}, Tuple{T}} where T hyperelliptic_polynomials :: Tuple{EllCrv} is2_normal_difficult FqPolyRingElem cospi :: Tuple{qqbar} log_integral :: Tuple{acb} log_integral :: Union{Tuple{ComplexFieldElem}, Tuple{ComplexFieldElem, Int64}} anti_uniformizer :: Tuple{NumFieldOrdIdl} _hensel_qf_modular_odd :: Union{Tuple{T}, Tuple{T, T, T, Any, Any}} where T<:Union{ZZModMatrix, zzModMatrix} nmod order_via_bsgs :: Union{Tuple{EllCrv{T}}, Tuple{T}} where T<:FinFieldElem iszero :: Tuple{FlintPuiseuxSeriesElem} iszero :: Tuple{acb} iszero :: Tuple{ComplexFieldElem} iszero :: Tuple{RealFieldElem} iszero :: Tuple{qqbar} iszero :: Tuple{ca} iszero :: Tuple{ZZLaurentSeriesRingElem} iszero :: Tuple{arb} compose :: Tuple{Vector{Isogeny}} compose :: Tuple{TorQuadModuleMor, TorQuadModuleMor} compose :: Tuple{Isogeny, Isogeny} compose :: Tuple{QuadBin{ZZRingElem}, QuadBin{ZZRingElem}} intersect_prime :: Union{Tuple{Map, NfOrdIdl}, Tuple{Map, NfOrdIdl, NfOrd}} Hyperellipti