sage -fixdoctests src/sage/rings

Author: Matthias Koeppe

src/sage/rings/finite_rings/element_base.pyx

@@ -586,8 +586,8 @@ cdef class FinitePolyExtElement(FiniteRingElement):
             Finite Field in a of size 19^2
             sage: b = a**20
             sage: p = FinitePolyExtElement.charpoly(b, "x", algorithm="pari")
-            sage: q = FinitePolyExtElement.charpoly(b, "x", algorithm="matrix")   # needs sage.modules
-            sage: q == p                                                          # needs sage.modules
+            sage: q = FinitePolyExtElement.charpoly(b, "x", algorithm="matrix")         # needs sage.modules
+            sage: q == p                                                                # needs sage.modules
             True
             sage: p
             x^2 + 15*x + 4

src/sage/rings/finite_rings/residue_field_pari_ffelt.pyx

@@ -118,7 +118,7 @@ class ResidueFiniteField_pari_ffelt(ResidueField_generic, FiniteField_pari_ffelt
 
             sage: R.<t> = GF(5)[]; P = R.ideal(4*t^12 + 3*t^11 + 4*t^10 + t^9 + t^8 + 3*t^7 + 2*t^6 + 3*t^4 + t^3 + 3*t^2 + 2)
             sage: k.<a> = P.residue_field()
-            sage: V = k.vector_space(map=False); v = V([1,2,3,4,5,6,7,8,9,0,1,2]); k(v)  # indirect doctest  # needs sage.modules
+            sage: V = k.vector_space(map=False); v = V([1,2,3,4,5,6,7,8,9,0,1,2]); k(v)  # indirect doctest             # needs sage.modules
             2*a^11 + a^10 + 4*a^8 + 3*a^7 + 2*a^6 + a^5 + 4*a^3 + 3*a^2 + 2*a + 1
         """
         try:

src/sage/rings/function_field/function_field_rational.py

@@ -138,7 +138,7 @@ def __init__(self, constant_field, names, category=None):
 
             sage: K.<t> = FunctionField(CC); K                                          # needs sage.rings.real_mpfr
             Rational function field in t over Complex Field with 53 bits of precision
-            sage: TestSuite(K).run()               # long time (5s)                     # needs sage.rings.real_mpfr
+            sage: TestSuite(K).run()            # long time (5s)                        # needs sage.rings.real_mpfr
 
             sage: FunctionField(QQ[I], 'alpha')                                         # needs sage.rings.number_field
             Rational function field in alpha over

src/sage/rings/number_field/number_field.py

@@ -1311,7 +1311,7 @@ class NumberField_generic(WithEqualityById, number_field_base.NumberField):
     This example was suggested on sage-nt; see :trac:`18942`::
 
         sage: G = DirichletGroup(80)                                                    # needs sage.modular
-        sage: for chi in G:             # long time                                     # needs sage.modular
+        sage: for chi in G:                     # long time                             # needs sage.modular
         ....:     D = ModularSymbols(chi, 2, -1).cuspidal_subspace().new_subspace().decomposition()
         ....:     for f in D:
         ....:         elt = f.q_eigenform(10, 'alpha')[3]

src/sage/rings/padics/padic_extension_leaves.py

@@ -303,7 +303,7 @@ class UnramifiedExtensionRingFixedMod(UnramifiedExtensionGeneric, pAdicFixedModR
     TESTS::
 
         sage: R.<a> = ZqFM(27,1000)                                                     # needs sage.libs.flint
-        sage: TestSuite(R).run(skip='_test_log',max_runs=4) # long time                 # needs sage.libs.flint
+        sage: TestSuite(R).run(skip='_test_log',max_runs=4)     # long time             # needs sage.libs.flint
     """
     def __init__(self, exact_modulus, poly, prec, print_mode, shift_seed, names, implementation='FLINT'):
         """

src/sage/rings/padics/padic_valuation.py

@@ -1360,7 +1360,7 @@ class pAdicFromLimitValuation(FiniteExtensionFromLimitValuation, pAdicValuation_
 
     TESTS::
 
-        sage: TestSuite(v).run(skip='_test_shift')  # long time                         # needs sage.rings.number_field
+        sage: TestSuite(v).run(skip='_test_shift')      # long time                     # needs sage.rings.number_field
 
     The ``_test_shift`` test fails because the parent of the shift is
     incorrect, see :trac:`23971`::

src/sage/rings/polynomial/polynomial_element.pyx

@@ -7730,7 +7730,7 @@ cdef class Polynomial(CommutativePolynomial):
             sage: f = x^3 - 1
             sage: f.roots()
             [(1, 1)]
-            sage: f.roots(ring=CC)   # ... - low order bits slightly different on ppc     # needs sage.rings.real_mpfr
+            sage: f.roots(ring=CC)   # ... - low order bits slightly different on ppc   # needs sage.rings.real_mpfr
             [(1.00000000000000, 1),
              (-0.500000000000000 - 0.86602540378443...*I, 1),
              (-0.500000000000000 + 0.86602540378443...*I, 1)]

src/sage/rings/qqbar.py

@@ -1525,7 +1525,7 @@ def _factor_univariate_polynomial(self, f):
             (12) * (x - 0.5773502691896258?) * (x + 0.5773502691896258?)
             sage: AA._factor_univariate_polynomial(12*x^2 + 4)
             (12) * (x^2 + 0.3333333333333334?)
-            sage: AA._factor_univariate_polynomial(EllipticCurve('11a1').change_ring(AA).division_polynomial(5))    # needs sage.schemes
+            sage: AA._factor_univariate_polynomial(EllipticCurve('11a1').change_ring(AA).division_polynomial(5))        # needs sage.schemes
             (5) * (x - 16.00000000000000?) * (x - 5.000000000000000?) * (x - 1.959674775249769?) * (x + 2.959674775249769?) * (x^2 - 2.854101966249685?*x + 15.47213595499958?) * (x^2 + 1.909830056250526?*x + 1.660606461254312?) * (x^2 + 3.854101966249685?*x + 6.527864045000421?) * (x^2 + 13.09016994374948?*x + 93.33939353874569?)
 
         """

src/sage/rings/rational.pyx

@@ -1459,7 +1459,7 @@ cdef class Rational(sage.structure.element.FieldElement):
             ...
             NotImplementedError: is_norm is not implemented unconditionally
              for norms from non-Galois number fields
-            sage: 7.is_norm(K, proof=False)                                             # needs sage.rings.number_field
+            sage: 7.is_norm(K, proof=False)
             False
 
         AUTHORS:

src/sage/rings/valuation/valuation.py

@@ -481,7 +481,7 @@ def mac_lane_approximants(self, G, assume_squarefree=False, require_final_EF=Tru
              [ Gauss valuation induced by (x + 1)-adic valuation, v(y) = 7/2 ],
              [ Gauss valuation induced by (x + 1)-adic valuation, v(y^13 + y^12 + y^10 + y^7 + y^6 + y^3 + 1) = 1 ]]
             sage: v0 = valuations.FunctionFieldValuation(K, GaussValuation(K._ring, valuations.TrivialValuation(k)).augmentation(x^3+x^2+1,1))
-            sage: v0.mac_lane_approximants(F, assume_squarefree=True)  # assumes squarefree for speed                   # needs sage.rings.function_field
+            sage: v0.mac_lane_approximants(F, assume_squarefree=True)  # assumes squarefree for speed
             [[ Gauss valuation induced by (x^3 + x^2 + 1)-adic valuation, v(y + x^3 + x^2 + x) = 2, v(y^2 + (x^6 + x^4 + 1)*y + x^14 + x^10 + x^9 + x^8 + x^5 + x^4 + x^3 + x^2 + x) = 5 ],
              [ Gauss valuation induced by (x^3 + x^2 + 1)-adic valuation, v(y^2 + (x^2 + x)*y + 1) = 1 ],
              [ Gauss valuation induced by (x^3 + x^2 + 1)-adic valuation, v(y^3 + (x + 1)*y^2 + (x + 1)*y + x^2 + x + 1) = 1 ],