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Merged
vbraun merged 2 commits into from
Jan 27, 2025
Merged

Mark test as random to avoid failure #39377

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Mark test as random to avoid failure
user202729 Jan 25, 2025
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user202729 Jan 26, 2025
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38 changes: 4 additions & 34 deletions src/sage/rings/number_field/number_field.py
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Original file line number Diff line number Diff line change
Expand Up @@ -8780,40 +8780,10 @@ def subfields(self, degree=0, name=None):
polynomials are supported (:issue:`252`)::

sage: K.<a> = NumberField(2*x^4 + 6*x^2 + 1/2)
sage: sorted(K.subfields(), key=lambda x: x[0].discriminant())
[(Number Field in a3 with defining polynomial x^2 + 2,
Ring morphism:
From: Number Field in a3 with defining polynomial x^2 + 2
To: Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
Defn: a3 |--> 2*a^3 + 5*a,
None),
(Number Field in a2 with defining polynomial x^2 + 4,
Ring morphism:
From: Number Field in a2 with defining polynomial x^2 + 4
To: Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
Defn: a2 |--> 2*a^3 + 7*a,
None),
(Number Field in a0 with defining polynomial x,
Ring morphism:
From: Number Field in a0 with defining polynomial x
To: Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
Defn: 0 |--> 0,
None),
(Number Field in a1 with defining polynomial x^2 - 2,
Ring morphism:
From: Number Field in a1 with defining polynomial x^2 - 2
To: Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
Defn: a1 |--> a^2 + 3/2,
None),
(Number Field in a4 with defining polynomial x^4 + 1,
Ring morphism:
From: Number Field in a4 with defining polynomial x^4 + 1
To: Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
Defn: a4 |--> a^3 + 1/2*a^2 + 5/2*a + 3/4,
Ring morphism:
From: Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
To: Number Field in a4 with defining polynomial x^4 + 1
Defn: a |--> -1/2*a4^3 + a4^2 - 1/2*a4)]
sage: K
Number Field in a with defining polynomial 2*x^4 + 6*x^2 + 1/2
sage: sorted([F.discriminant() for F, _, _ in K.subfields()])
[-8, -4, 1, 8, 256]
"""
return self._subfields_helper(degree=degree, name=name,
both_maps=True, optimize=False)
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