Index – I i_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method) id() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) ideal() (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) Ideal_1poly_field (class in sage.rings.polynomial.ideal) if_then_else() (in module sage.rings.polynomial.pbori.pbori) implications() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method) in_subalgebra() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) include_divisors() (sage.rings.polynomial.pbori.pbori.BooleSet method) increase_precision() (sage.rings.polynomial.real_roots.ocean method) index() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) InfiniteGenDict (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomial (class in sage.rings.polynomial.infinite_polynomial_element) InfinitePolynomial_dense (class in sage.rings.polynomial.infinite_polynomial_element) InfinitePolynomial_sparse (class in sage.rings.polynomial.infinite_polynomial_element) InfinitePolynomialGen (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomialRing_dense (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomialRing_sparse (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomialRingFactory (class in sage.rings.polynomial.infinite_polynomial_ring) inhomogeneous_quadratic_form() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method) int_list() (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_n method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) INTEGER_LIMIT (sage.rings.fraction_field_FpT.FpT attribute) IntegerValuedPolynomialRing (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Bases (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Bases.ElementMethods (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Bases.ParentMethods (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Binomial (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Binomial.Element (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Shifted (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Shifted.Element (class in sage.rings.polynomial.integer_valued_polynomials) integral() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) integral_closure() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) integral_i() (sage.rings.polynomial.polydict.PolyDict method) inter_reduction() (in module sage.rings.polynomial.toy_buchberger) interpolate() (in module sage.rings.polynomial.pbori.pbori) interpolate_smallest_lex() (in module sage.rings.polynomial.pbori.pbori) interpolation() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) interpolation_polynomial() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) interred_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular) interreduced_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) interreduction() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) intersect() (sage.rings.polynomial.pbori.pbori.BooleSet method) intersection() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) interval_bernstein_polynomial (class in sage.rings.polynomial.real_roots) interval_bernstein_polynomial_float (class in sage.rings.polynomial.real_roots) interval_bernstein_polynomial_integer (class in sage.rings.polynomial.real_roots) interval_roots() (in module sage.rings.polynomial.complex_roots) intervals_disjoint() (in module sage.rings.polynomial.complex_roots) intvec_to_doublevec() (in module sage.rings.polynomial.real_roots) invariants() (sage.rings.invariants.invariant_theory.BinaryQuintic method) (sage.rings.invariants.invariant_theory.QuadraticForm method) InvariantTheoryFactory (class in sage.rings.invariants.invariant_theory) inverse() (sage.rings.polynomial.flatten.FlatteningMorphism method) inverse_mod() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) inverse_of_unit() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (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) inverse_series_trunc() (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_zz_pex.Polynomial_ZZ_pEX method) irreducible_element() (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_finite_field method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_p method) irrelevant_ideal() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) is_block_order() (sage.rings.polynomial.term_order.TermOrder method) is_constant() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleConstant method) (sage.rings.polynomial.polydict.ETuple method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_cyclotomic() (sage.rings.polynomial.polynomial_element.Polynomial method) is_cyclotomic_product() (sage.rings.polynomial.polynomial_element.Polynomial method) is_eisenstein() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) is_equal() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_exact() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_field() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_finite() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) is_FractionField() (in module sage.rings.fraction_field) is_FractionFieldElement() (in module sage.rings.fraction_field_element) is_gen() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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_zmod_flint.Polynomial_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) is_generator() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) is_global() (sage.rings.polynomial.term_order.TermOrder method) is_groebner() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) is_homogeneous() (sage.rings.invariants.invariant_theory.FormsBase method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_injective() (sage.rings.fraction_field.FractionFieldEmbedding method) (sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_coercion method) (sage.rings.polynomial.polynomial_ring_homomorphism.PolynomialRingHomomorphism_from_base method) is_integral() (sage.rings.fraction_field_element.FractionFieldElement_1poly_field method) is_integral_domain() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_irreducible() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_GF2X 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) is_LaurentPolynomialRing() (in module sage.rings.polynomial.laurent_polynomial_ring) is_linearly_dependent() (in module sage.rings.polynomial.toy_variety) is_local() (sage.rings.polynomial.term_order.TermOrder method) is_lorentzian() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_maximal() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) is_monic() (sage.rings.polynomial.polynomial_element.Polynomial method) is_monomial() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (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) is_MPolynomial() (in module sage.rings.polynomial.multi_polynomial) is_MPolynomialIdeal() (in module sage.rings.polynomial.multi_polynomial_ideal) is_MPolynomialRing() (in module sage.rings.polynomial.multi_polynomial_ring_base) is_multiple_of() (sage.rings.polynomial.polydict.ETuple method) is_nilpotent() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_noetherian() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_one() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleConstant method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) is_pair() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_Polynomial() (in module sage.rings.polynomial.polynomial_element) is_PolynomialQuotientRing() (in module sage.rings.polynomial.polynomial_quotient_ring) is_PolynomialRing() (in module sage.rings.polynomial.polynomial_ring) is_PolynomialSequence() (in module sage.rings.polynomial.multi_polynomial_sequence) is_prime() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) is_primitive() (sage.rings.polynomial.polynomial_element.Polynomial method) is_real_rooted() (sage.rings.polynomial.polynomial_element.Polynomial method) is_simple() (sage.rings.semirings.tropical_variety.TropicalCurve method) is_singleton() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_singleton_or_pair() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_smooth() (sage.rings.semirings.tropical_variety.TropicalCurve method) is_sparse() (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) is_square() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.fraction_field_FpT.FpTElement method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_squarefree() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_surjective() (sage.rings.fraction_field.FractionFieldEmbedding method) (sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_coercion method) (sage.rings.polynomial.polynomial_ring_homomorphism.PolynomialRingHomomorphism_from_base method) is_symmetric() (sage.rings.polynomial.multi_polynomial.MPolynomial method) is_term() (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_element.Polynomial_generic_dense method) is_triangular() (in module sage.rings.polynomial.toy_variety) is_unique_factorization_domain() (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_unit() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_domain method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) is_univariate() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_weighted_degree_order() (sage.rings.polynomial.term_order.TermOrder method) is_weil_polynomial() (sage.rings.polynomial.polynomial_element.Polynomial method) is_zero() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleConstant method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) island (class in sage.rings.polynomial.real_roots) iter() (sage.rings.fraction_field_FpT.FpT method) iterator_exp_coeff() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) iterindex() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
Index – I i_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method) id() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) ideal() (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) Ideal_1poly_field (class in sage.rings.polynomial.ideal) if_then_else() (in module sage.rings.polynomial.pbori.pbori) implications() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method) in_subalgebra() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) include_divisors() (sage.rings.polynomial.pbori.pbori.BooleSet method) increase_precision() (sage.rings.polynomial.real_roots.ocean method) index() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) InfiniteGenDict (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomial (class in sage.rings.polynomial.infinite_polynomial_element) InfinitePolynomial_dense (class in sage.rings.polynomial.infinite_polynomial_element) InfinitePolynomial_sparse (class in sage.rings.polynomial.infinite_polynomial_element) InfinitePolynomialGen (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomialRing_dense (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomialRing_sparse (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomialRingFactory (class in sage.rings.polynomial.infinite_polynomial_ring) inhomogeneous_quadratic_form() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method) int_list() (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_n method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) INTEGER_LIMIT (sage.rings.fraction_field_FpT.FpT attribute) IntegerValuedPolynomialRing (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Bases (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Bases.ElementMethods (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Bases.ParentMethods (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Binomial (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Binomial.Element (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Shifted (class in sage.rings.polynomial.integer_valued_polynomials) IntegerValuedPolynomialRing.Shifted.Element (class in sage.rings.polynomial.integer_valued_polynomials) integral() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) integral_closure() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) integral_i() (sage.rings.polynomial.polydict.PolyDict method) inter_reduction() (in module sage.rings.polynomial.toy_buchberger) interpolate() (in module sage.rings.polynomial.pbori.pbori) interpolate_smallest_lex() (in module sage.rings.polynomial.pbori.pbori) interpolation() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) interpolation_polynomial() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) interred_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular) interreduced_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) interreduction() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) intersect() (sage.rings.polynomial.pbori.pbori.BooleSet method) intersection() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) interval_bernstein_polynomial (class in sage.rings.polynomial.real_roots) interval_bernstein_polynomial_float (class in sage.rings.polynomial.real_roots) interval_bernstein_polynomial_integer (class in sage.rings.polynomial.real_roots) interval_roots() (in module sage.rings.polynomial.complex_roots) intervals_disjoint() (in module sage.rings.polynomial.complex_roots) intvec_to_doublevec() (in module sage.rings.polynomial.real_roots) invariants() (sage.rings.invariants.invariant_theory.BinaryQuintic method) (sage.rings.invariants.invariant_theory.QuadraticForm method) InvariantTheoryFactory (class in sage.rings.invariants.invariant_theory) inverse() (sage.rings.polynomial.flatten.FlatteningMorphism method) inverse_mod() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) inverse_of_unit() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (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) inverse_series_trunc() (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_zz_pex.Polynomial_ZZ_pEX method) irreducible_element() (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_finite_field method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_p method) irrelevant_ideal() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) is_block_order() (sage.rings.polynomial.term_order.TermOrder method) is_constant() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleConstant method) (sage.rings.polynomial.polydict.ETuple method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_cyclotomic() (sage.rings.polynomial.polynomial_element.Polynomial method) is_cyclotomic_product() (sage.rings.polynomial.polynomial_element.Polynomial method) is_eisenstein() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) is_equal() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_exact() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_field() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_finite() (sage.rings.fraction_field.FractionField_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) is_FractionField() (in module sage.rings.fraction_field) is_FractionFieldElement() (in module sage.rings.fraction_field_element) is_gen() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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_zmod_flint.Polynomial_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) is_generator() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) is_global() (sage.rings.polynomial.term_order.TermOrder method) is_groebner() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) is_homogeneous() (sage.rings.invariants.invariant_theory.FormsBase method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_injective() (sage.rings.fraction_field.FractionFieldEmbedding method) (sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_coercion method) (sage.rings.polynomial.polynomial_ring_homomorphism.PolynomialRingHomomorphism_from_base method) is_integral() (sage.rings.fraction_field_element.FractionFieldElement_1poly_field method) is_integral_domain() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_irreducible() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_GF2X 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) is_LaurentPolynomialRing() (in module sage.rings.polynomial.laurent_polynomial_ring) is_linearly_dependent() (in module sage.rings.polynomial.toy_variety) is_local() (sage.rings.polynomial.term_order.TermOrder method) is_lorentzian() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_maximal() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) is_monic() (sage.rings.polynomial.polynomial_element.Polynomial method) is_monomial() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (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) is_MPolynomial() (in module sage.rings.polynomial.multi_polynomial) is_MPolynomialIdeal() (in module sage.rings.polynomial.multi_polynomial_ideal) is_MPolynomialRing() (in module sage.rings.polynomial.multi_polynomial_ring_base) is_multiple_of() (sage.rings.polynomial.polydict.ETuple method) is_nilpotent() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_noetherian() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_one() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleConstant method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) is_pair() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_Polynomial() (in module sage.rings.polynomial.polynomial_element) is_PolynomialQuotientRing() (in module sage.rings.polynomial.polynomial_quotient_ring) is_PolynomialRing() (in module sage.rings.polynomial.polynomial_ring) is_PolynomialSequence() (in module sage.rings.polynomial.multi_polynomial_sequence) is_prime() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) is_primitive() (sage.rings.polynomial.polynomial_element.Polynomial method) is_real_rooted() (sage.rings.polynomial.polynomial_element.Polynomial method) is_simple() (sage.rings.semirings.tropical_variety.TropicalCurve method) is_singleton() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_singleton_or_pair() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_smooth() (sage.rings.semirings.tropical_variety.TropicalCurve method) is_sparse() (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) (sage.rings.semirings.tropical_polynomial.TropicalPolynomialSemiring method) is_square() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.fraction_field_FpT.FpTElement method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_squarefree() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_surjective() (sage.rings.fraction_field.FractionFieldEmbedding method) (sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_coercion method) (sage.rings.polynomial.polynomial_ring_homomorphism.PolynomialRingHomomorphism_from_base method) is_symmetric() (sage.rings.polynomial.multi_polynomial.MPolynomial method) is_term() (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_element.Polynomial_generic_dense method) is_triangular() (in module sage.rings.polynomial.toy_variety) is_unique_factorization_domain() (sage.rings.polynomial.polynomial_ring.PolynomialRing_generic method) is_unit() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_domain method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) is_univariate() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) is_weighted_degree_order() (sage.rings.polynomial.term_order.TermOrder method) is_weil_polynomial() (sage.rings.polynomial.polynomial_element.Polynomial method) is_zero() (sage.rings.fraction_field_element.FractionFieldElement method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleConstant method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) island (class in sage.rings.polynomial.real_roots) iter() (sage.rings.fraction_field_FpT.FpT method) iterator_exp_coeff() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) iterindex() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)