Index – R R_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method) radical() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) random_element() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) random_set() (in module sage.rings.polynomial.pbori.pbori) rational_reconstruct() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rational_reconstruction() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rational_root_bounds() (in module sage.rings.polynomial.real_roots) real_root_intervals() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) real_roots() (in module sage.rings.polynomial.real_roots) (sage.rings.polynomial.polynomial_element.Polynomial method) reciprocal_transform() (sage.rings.polynomial.polynomial_element.Polynomial method) recursively_insert() (in module sage.rings.polynomial.pbori.pbori) red_tail() (in module sage.rings.polynomial.pbori.pbori) reduce() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.fraction_field_element.FractionFieldElement_1poly_field method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_quotient method) (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) reduced() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method) reduced_form() (sage.rings.polynomial.multi_polynomial.MPolynomial method) reduced_normal_form() (sage.rings.polynomial.pbori.pbori.ReductionStrategy method) reducible_by() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) reduction_strategy (sage.rings.polynomial.pbori.pbori.GroebnerStrategy attribute) ReductionStrategy (class in sage.rings.polynomial.pbori.pbori) refine() (sage.rings.polynomial.real_roots.island method) refine_all() (sage.rings.polynomial.real_roots.ocean method) refine_recurse() (sage.rings.polynomial.real_roots.island method) refine_root() (in module sage.rings.polynomial.refine_root) region() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) (sage.rings.polynomial.real_roots.rr_gap method) region_width() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) relative_bounds() (in module sage.rings.polynomial.real_roots) remove_var() (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) remove_zeros() (sage.rings.polynomial.polydict.PolyDict method) repr_long() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) require_field (in module sage.rings.polynomial.multi_polynomial_ideal) RequireField (class in sage.rings.polynomial.multi_polynomial_ideal) res() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) rescale() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) reset() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) reset_root_width() (sage.rings.polynomial.real_roots.island method) (sage.rings.polynomial.real_roots.ocean method) residue() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) residue_class_degree() (sage.rings.polynomial.ideal.Ideal_1poly_field method) residue_field() (sage.rings.polynomial.ideal.Ideal_1poly_field method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_n method) resultant() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) retract() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) reverse() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_ZZ method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) reverse_intvec() (in module sage.rings.polynomial.real_roots) reversed() (sage.rings.polynomial.polydict.ETuple method) revert_series() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rich_compare() (sage.rings.polynomial.polydict.PolyDict method) ring() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.invariants.invariant_theory.FormsBase method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleSet method) ring_of_integers() (sage.rings.fraction_field.FractionField_1poly_field method) root_bounds() (in module sage.rings.polynomial.real_roots) root_field() (sage.rings.polynomial.padics.polynomial_padic.Polynomial_padic method) (sage.rings.polynomial.polynomial_element.Polynomial method) roots() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.real_roots.ocean method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method) rr_gap (class in sage.rings.polynomial.real_roots) rshift_coeffs() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method)
Index – R R_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method) radical() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) random_element() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) (sage.rings.semirings.tropical_mpolynomial.TropicalMPolynomialSemiring method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) random_set() (in module sage.rings.polynomial.pbori.pbori) rational_reconstruct() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rational_reconstruction() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rational_root_bounds() (in module sage.rings.polynomial.real_roots) real_root_intervals() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) real_roots() (in module sage.rings.polynomial.real_roots) (sage.rings.polynomial.polynomial_element.Polynomial method) reciprocal_transform() (sage.rings.polynomial.polynomial_element.Polynomial method) recursively_insert() (in module sage.rings.polynomial.pbori.pbori) red_tail() (in module sage.rings.polynomial.pbori.pbori) reduce() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.fraction_field_element.FractionFieldElement_1poly_field method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_quotient method) (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) reduced() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method) reduced_form() (sage.rings.polynomial.multi_polynomial.MPolynomial method) reduced_normal_form() (sage.rings.polynomial.pbori.pbori.ReductionStrategy method) reducible_by() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) reduction_strategy (sage.rings.polynomial.pbori.pbori.GroebnerStrategy attribute) ReductionStrategy (class in sage.rings.polynomial.pbori.pbori) refine() (sage.rings.polynomial.real_roots.island method) refine_all() (sage.rings.polynomial.real_roots.ocean method) refine_recurse() (sage.rings.polynomial.real_roots.island method) refine_root() (in module sage.rings.polynomial.refine_root) region() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) (sage.rings.polynomial.real_roots.rr_gap method) region_width() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) relative_bounds() (in module sage.rings.polynomial.real_roots) remove_var() (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) remove_zeros() (sage.rings.polynomial.polydict.PolyDict method) repr_long() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) require_field (in module sage.rings.polynomial.multi_polynomial_ideal) RequireField (class in sage.rings.polynomial.multi_polynomial_ideal) res() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) rescale() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) reset() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) reset_root_width() (sage.rings.polynomial.real_roots.island method) (sage.rings.polynomial.real_roots.ocean method) residue() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) residue_class_degree() (sage.rings.polynomial.ideal.Ideal_1poly_field method) residue_field() (sage.rings.polynomial.ideal.Ideal_1poly_field method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_n method) resultant() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) retract() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) reverse() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_ZZ method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) reverse_intvec() (in module sage.rings.polynomial.real_roots) reversed() (sage.rings.polynomial.polydict.ETuple method) revert_series() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rich_compare() (sage.rings.polynomial.polydict.PolyDict method) ring() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.invariants.invariant_theory.FormsBase method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleSet method) ring_of_integers() (sage.rings.fraction_field.FractionField_1poly_field method) root_bounds() (in module sage.rings.polynomial.real_roots) root_field() (sage.rings.polynomial.padics.polynomial_padic.Polynomial_padic method) (sage.rings.polynomial.polynomial_element.Polynomial method) roots() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.real_roots.ocean method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomial method) rr_gap (class in sage.rings.polynomial.real_roots) rshift_coeffs() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method)