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Code snippets from snippet-generate action #6899

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44 changes: 22 additions & 22 deletions lmfdb/tests/snippet_tests/number_fields/code-1.1.1.1-sage.log
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Original file line number Diff line number Diff line change
@@ -1,44 +1,44 @@
# snippet evaluation file generated by generate_snippet_tests.py
sage: x = polygen(QQ); K.<a> = NumberField(x)
sage: K.defining_polynomial()
# snippet evaluation file generated by generate_snippet_tests.py
sage: x = polygen(QQ); K.<a> = NumberField(x)
sage: K.defining_polynomial()
x
sage: K.degree()
sage: K.degree()
1
sage: K.signature()
sage: K.signature()
(1, 0)
sage: K.disc()
sage: K.disc()
1
sage: K.disc().support()
sage: K.disc().support()
[]
sage: K.automorphisms()
sage: K.automorphisms()
[
Ring endomorphism of Number Field in a with defining polynomial x
Defn: 0 |--> 0
]
sage: K.integral_basis()
sage: K.integral_basis()
[1]
sage: K.class_group().invariants()
sage: K.class_group().invariants()
()
sage: UK = K.unit_group()
sage: UK.rank()
sage: UK = K.unit_group()
sage: UK.rank()
0
sage: UK.torsion_generator()
sage: UK.torsion_generator()
u
sage: UK.fundamental_units()
sage: UK.fundamental_units()
[]
sage: K.regulator()
sage: K.regulator()
1.00000000000000
sage: x = polygen(QQ); K.<a> = NumberField(x)
sage: DK = K.disc(); r1,r2 = K.signature(); RK = K.regulator(); RR = RK.parent()
sage: hK = K.class_number(); wK = K.unit_group().torsion_generator().order();
sage: 2^r1 * (2*RR(pi))^r2 * RK * hK / (wK * RR(sqrt(abs(DK))))
sage: x = polygen(QQ); K.<a> = NumberField(x)
sage: DK = K.disc(); r1,r2 = K.signature(); RK = K.regulator(); RR = RK.parent()
sage: hK = K.class_number(); wK = K.unit_group().torsion_generator().order();
sage: 2^r1 * (2*RR(pi))^r2 * RK * hK / (wK * RR(sqrt(abs(DK))))
1.00000000000000
sage: K.subfields()[1:-1]
sage: K.subfields()[1:-1]
[

]
sage: K.galois_group()
sage: K.galois_group()
Galois group 1T1 (S1) with order 1 of x
sage: p = 7; [(e, pr.norm().valuation(p)) for pr,e in K.factor(p)]
sage: p = 7; [(e, pr.norm().valuation(p)) for pr,e in K.factor(p)]
[(1, 1)]
sage:
44 changes: 22 additions & 22 deletions lmfdb/tests/snippet_tests/number_fields/code-2.0.4.1-sage.log
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Original file line number Diff line number Diff line change
@@ -1,46 +1,46 @@
# snippet evaluation file generated by generate_snippet_tests.py
sage: x = polygen(QQ); K.<a> = NumberField(x^2 + 1)
sage: K.defining_polynomial()
# snippet evaluation file generated by generate_snippet_tests.py
sage: x = polygen(QQ); K.<a> = NumberField(x^2 + 1)
sage: K.defining_polynomial()
x^2 + 1
sage: K.degree()
sage: K.degree()
2
sage: K.signature()
sage: K.signature()
(0, 1)
sage: K.disc()
sage: K.disc()
-4
sage: K.disc().support()
sage: K.disc().support()
[2]
sage: K.automorphisms()
sage: K.automorphisms()
[
Ring endomorphism of Number Field in a with defining polynomial x^2 + 1
Defn: a |--> a,
Ring endomorphism of Number Field in a with defining polynomial x^2 + 1
Defn: a |--> -a
]
sage: K.integral_basis()
sage: K.integral_basis()
[1, a]
sage: K.class_group().invariants()
sage: K.class_group().invariants()
()
sage: UK = K.unit_group()
sage: UK.rank()
sage: UK = K.unit_group()
sage: UK.rank()
0
sage: UK.torsion_generator()
sage: UK.torsion_generator()
u
sage: UK.fundamental_units()
sage: UK.fundamental_units()
[]
sage: K.regulator()
sage: K.regulator()
1.00000000000000
sage: x = polygen(QQ); K.<a> = NumberField(x^2 + 1)
sage: DK = K.disc(); r1,r2 = K.signature(); RK = K.regulator(); RR = RK.parent()
sage: hK = K.class_number(); wK = K.unit_group().torsion_generator().order();
sage: 2^r1 * (2*RR(pi))^r2 * RK * hK / (wK * RR(sqrt(abs(DK))))
sage: x = polygen(QQ); K.<a> = NumberField(x^2 + 1)
sage: DK = K.disc(); r1,r2 = K.signature(); RK = K.regulator(); RR = RK.parent()
sage: hK = K.class_number(); wK = K.unit_group().torsion_generator().order();
sage: 2^r1 * (2*RR(pi))^r2 * RK * hK / (wK * RR(sqrt(abs(DK))))
0.785398163397448
sage: K.subfields()[1:-1]
sage: K.subfields()[1:-1]
[

]
sage: K.galois_group()
sage: K.galois_group()
Galois group 2T1 (S2) with order 2 of x^2 + 1
sage: p = 7; [(e, pr.norm().valuation(p)) for pr,e in K.factor(p)]
sage: p = 7; [(e, pr.norm().valuation(p)) for pr,e in K.factor(p)]
[(1, 2)]
sage: