Index

_

_add_() (sage.rings.polynomial.polynomial_element.Polynomial 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) _lmul_() (sage.rings.polynomial.polynomial_element.Polynomial 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) _mul_() (sage.rings.polynomial.polynomial_element.Polynomial 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method)

_mul_trunc_() (sage.rings.polynomial.polynomial_element.Polynomial 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) _rmul_() (sage.rings.polynomial.polynomial_element.Polynomial 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) _sub_() (sage.rings.polynomial.polynomial_element.Polynomial 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method)

A

abc_pd (class in sage.rings.polynomial.polynomial_compiled) add_as_you_wish() (sage.rings.polynomial.pbori.GroebnerStrategy method) add_bigoh() (sage.rings.polynomial.polynomial_element.Polynomial method) add_generator() (sage.rings.polynomial.pbori.GroebnerStrategy method) (sage.rings.polynomial.pbori.ReductionStrategy method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) add_generator_delayed() (sage.rings.polynomial.pbori.GroebnerStrategy method) add_m_mul_q() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) add_pd (class in sage.rings.polynomial.polynomial_compiled) add_up_polynomials() (in module sage.rings.polynomial.pbori) algebraic_dependence() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) all_done() (sage.rings.polynomial.real_roots.ocean method)

all_generators() (sage.rings.polynomial.pbori.GroebnerStrategy method) all_spolys_in_next_degree() (sage.rings.polynomial.pbori.GroebnerStrategy method) ambient() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) any_root() (sage.rings.polynomial.polynomial_element.Polynomial method) append() (sage.rings.polynomial.pbori.BooleanPolynomialVector method) approx_bp() (sage.rings.polynomial.real_roots.ocean method) args() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) as_float() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_float method) (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) associated_primes() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)

B

base_extend() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) base_field() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_field method) base_ring() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) basis (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal attribute) basis_is_groebner() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) bateman_bound() (in module sage.rings.polynomial.cyclotomic) bernstein_down() (in module sage.rings.polynomial.real_roots) bernstein_expand() (in module sage.rings.polynomial.real_roots) bernstein_polynomial() (sage.rings.polynomial.real_roots.bernstein_polynomial_factory_ar method) (sage.rings.polynomial.real_roots.bernstein_polynomial_factory_intlist method) (sage.rings.polynomial.real_roots.bernstein_polynomial_factory_ratlist method) bernstein_polynomial_factory (class in sage.rings.polynomial.real_roots) bernstein_polynomial_factory_ar (class in sage.rings.polynomial.real_roots) bernstein_polynomial_factory_intlist (class in sage.rings.polynomial.real_roots) bernstein_polynomial_factory_ratlist (class in sage.rings.polynomial.real_roots) bernstein_up() (in module sage.rings.polynomial.real_roots) binary_pd (class in sage.rings.polynomial.polynomial_compiled) bitsize_doctest() (in module sage.rings.polynomial.real_roots) blocks() (sage.rings.polynomial.term_order.TermOrder method) BooleanMonomial (class in sage.rings.polynomial.pbori)

BooleanMonomialIterator (class in sage.rings.polynomial.pbori) BooleanMonomialMonoid (class in sage.rings.polynomial.pbori) BooleanMonomialVariableIterator (class in sage.rings.polynomial.pbori) BooleanMulAction (class in sage.rings.polynomial.pbori) BooleanPolynomial (class in sage.rings.polynomial.pbori) BooleanPolynomialEntry (class in sage.rings.polynomial.pbori) BooleanPolynomialIdeal (class in sage.rings.polynomial.pbori) BooleanPolynomialIterator (class in sage.rings.polynomial.pbori) BooleanPolynomialRing (class in sage.rings.polynomial.pbori) BooleanPolynomialRing_constructor() (in module sage.rings.polynomial.polynomial_ring_constructor) BooleanPolynomialVector (class in sage.rings.polynomial.pbori) BooleanPolynomialVectorIterator (class in sage.rings.polynomial.pbori) BooleConstant (class in sage.rings.polynomial.pbori) BooleSet (class in sage.rings.polynomial.pbori) BooleSetIterator (class in sage.rings.polynomial.pbori) bp_done() (sage.rings.polynomial.real_roots.island method) buchberger() (in module sage.rings.polynomial.toy_buchberger) buchberger_improved() (in module sage.rings.polynomial.toy_buchberger)

C

can_convert_to_singular() (in module sage.rings.polynomial.polynomial_singular_interface) can_rewrite() (sage.rings.polynomial.pbori.ReductionStrategy method) cardinality() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) cartesian_product() (sage.rings.polynomial.pbori.BooleSet method) CCuddNavigator (class in sage.rings.polynomial.pbori) change() (sage.rings.polynomial.pbori.BooleSet method) change_ring() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_element method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) change_var() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) change_variable_name() (sage.rings.polynomial.polynomial_element.Polynomial method) characteristic() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) charpoly() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) cheap_reductions() (sage.rings.polynomial.pbori.ReductionStrategy method) cl_maximum_root() (in module sage.rings.polynomial.real_roots) cl_maximum_root_first_lambda() (in module sage.rings.polynomial.real_roots) cl_maximum_root_local_max() (in module sage.rings.polynomial.real_roots) class_group() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) clean_top_by_chain_criterion() (sage.rings.polynomial.pbori.GroebnerStrategy method) clone() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) coeff_pd (class in sage.rings.polynomial.polynomial_compiled) coefficient() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) coefficient_matrix() (in module sage.rings.polynomial.toy_variety) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) coefficients() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial 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) coeffs() (sage.rings.polynomial.polynomial_element.Polynomial method) coeffs_bitsize() (sage.rings.polynomial.real_roots.bernstein_polynomial_factory_ar method) (sage.rings.polynomial.real_roots.bernstein_polynomial_factory_intlist method) (sage.rings.polynomial.real_roots.bernstein_polynomial_factory_ratlist method) combine_to_positives() (sage.rings.polynomial.polydict.ETuple method) common_nonzero_positions() (sage.rings.polynomial.polydict.ETuple method) compare() (sage.rings.polynomial.polydict.PolyDict method) compare_tuples_block() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_deglex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_degneglex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_degrevlex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_invlex() (sage.rings.polynomial.term_order.TermOrder method)

compare_tuples_lex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_matrix() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_negdeglex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_negdegrevlex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_neglex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_negwdeglex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_negwdegrevlex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_wdeglex() (sage.rings.polynomial.term_order.TermOrder method) compare_tuples_wdegrevlex() (sage.rings.polynomial.term_order.TermOrder method) CompiledPolynomialFunction (class in sage.rings.polynomial.polynomial_compiled) complete_primary_decomposition() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) completion() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) complex_embeddings() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_field method) complex_roots() (in module sage.rings.polynomial.complex_roots) (sage.rings.polynomial.polynomial_element.Polynomial method) connected_components() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) connection_graph() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) constant() (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.CCuddNavigator method) constant_coefficient() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense method) ConstantPolynomialSection (class in sage.rings.polynomial.polynomial_element) construction() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_dense method) (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) contained_vars() (in module sage.rings.polynomial.pbori) contains_one() (sage.rings.polynomial.pbori.GroebnerStrategy method) content() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (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_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) context (class in sage.rings.polynomial.real_roots) convolution() (in module sage.rings.polynomial.convolution) cover_ring() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) create_key() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRingFactory method) create_key_and_extra_args() (sage.rings.polynomial.plural.G_AlgFactory method) create_object() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRingFactory method) (sage.rings.polynomial.plural.G_AlgFactory method) cyclotomic_coeffs() (in module sage.rings.polynomial.cyclotomic) cyclotomic_polynomial() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) cyclotomic_value() (in module sage.rings.polynomial.cyclotomic)

D

d_basis() (in module sage.rings.polynomial.toy_d_basis) de_casteljau() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_float method) (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) de_casteljau_doublevec() (in module sage.rings.polynomial.real_roots) de_casteljau_intvec() (in module sage.rings.polynomial.real_roots) defining_ideal() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) deg() (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleConstant method) (sage.rings.polynomial.pbori.BooleanPolynomial method) degree() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse 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_integer_dense_ntl.Polynomial_integer_dense_ntl method) (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) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) degree_lowest_rational_function() (in module sage.rings.polynomial.multi_polynomial_element) degree_of_semi_regularity() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) degree_reduction_next_size() (in module sage.rings.polynomial.real_roots) degrees() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.plural.NCPolynomial_plural method) denominator() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) derivative() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) dict() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) diff() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.pbori.BooleSet method) (sage.rings.polynomial.polynomial_element.Polynomial method)

differentiate() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.polynomial_element.Polynomial method) dimension() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.pbori.BooleanPolynomialIdeal method) disc() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) discriminant() (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_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) divide() (sage.rings.polynomial.pbori.BooleSet method) divided_difference() (sage.rings.polynomial.polynomial_ring.PolynomialRing_field method) divisors() (sage.rings.polynomial.pbori.BooleanMonomial method) divisors_of() (sage.rings.polynomial.pbori.BooleSet method) done() (sage.rings.polynomial.real_roots.island method) down_degree() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) down_degree_iter() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) downscale() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) dprod_imatrow_vec() (in module sage.rings.polynomial.real_roots) dummy_pd (class in sage.rings.polynomial.polynomial_compiled)

E

eadd() (sage.rings.polynomial.polydict.ETuple method) eadd_p() (sage.rings.polynomial.polydict.ETuple method) easy_linear_factors() (in module sage.rings.polynomial.pbori) Element (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular attribute) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic attribute) element() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_element method) elength() (sage.rings.polynomial.pbori.BooleanPolynomial method) elim_pol() (in module sage.rings.polynomial.toy_variety) eliminate_linear_variables() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method) elimination_ideal() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) else_branch() (sage.rings.polynomial.pbori.CCuddNavigator method) emax() (sage.rings.polynomial.polydict.ETuple method)

emin() (sage.rings.polynomial.polydict.ETuple method) empty() (sage.rings.polynomial.pbori.BooleSet method) emul() (sage.rings.polynomial.polydict.ETuple method) esub() (sage.rings.polynomial.polydict.ETuple method) ETuple (class in sage.rings.polynomial.polydict) ETupleIter (class in sage.rings.polynomial.polydict) euclidean_degree() (sage.rings.polynomial.polynomial_element.Polynomial method) exponents() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) extend_variables() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) ExteriorAlgebra() (in module sage.rings.polynomial.plural) ExteriorAlgebra_plural (class in sage.rings.polynomial.plural)

F

factor() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.padics.polynomial_padic.Polynomial_padic 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_zmod_flint.Polynomial_zmod_flint method) factor_mod() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense 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_rational_flint.Polynomial_rational_flint method) factor_padic() (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) faugere_step_dense() (sage.rings.polynomial.pbori.GroebnerStrategy method) fcp() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) FGLMStrategy (class in sage.rings.polynomial.pbori)

field_extension() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_domain method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) find_roots() (sage.rings.polynomial.real_roots.ocean method) first_term() (sage.rings.polynomial.pbori.BooleanPolynomial method) footprint() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) fraction_field() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_field method) from_ocean() (sage.rings.polynomial.real_roots.linear_map method) (sage.rings.polynomial.real_roots.warp_map method)

G

G_AlgFactory (class in sage.rings.polynomial.plural) galois_group() (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) gauss_on_polys() (in module sage.rings.polynomial.pbori) gcd() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanMonomial 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_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p method) (sage.rings.polynomial.polynomial_number_field.Polynomial_absolute_number_field_dense method) (sage.rings.polynomial.polynomial_number_field.Polynomial_relative_number_field_dense 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) gen() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.pbori.BooleanMonomialMonoid method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) GenDictWithBasering (class in sage.rings.polynomial.infinite_polynomial_ring) generic_pd (class in sage.rings.polynomial.polynomial_compiled) gens() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.pbori.BooleanMonomialMonoid method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) gens_dict() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) genus() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) get_base_order_code() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) get_be_log() (sage.rings.polynomial.real_roots.context method) get_cparent() (sage.rings.polynomial.polynomial_gf2x.Polynomial_template method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) get_dc_log() (sage.rings.polynomial.real_roots.context method) get_msb_bit() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_float method) (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) get_order_code() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) get_realfield_rndu() (in module sage.rings.polynomial.real_roots) get_var_mapping() (in module sage.rings.polynomial.pbori) GF2X_BuildIrred_list() (in module sage.rings.polynomial.polynomial_gf2x) GF2X_BuildRandomIrred_list() (in module sage.rings.polynomial.polynomial_gf2x) GF2X_BuildSparseIrred_list() (in module sage.rings.polynomial.polynomial_gf2x)

gpol() (in module sage.rings.polynomial.toy_d_basis) graded_part() (sage.rings.polynomial.pbori.BooleanPolynomial method) gradient() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) greater_tuple_block() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_deglex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_degneglex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_degrevlex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_invlex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_lex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_matrix() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_negdeglex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_negdegrevlex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_neglex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_negwdeglex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_negwdegrevlex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_wdeglex() (sage.rings.polynomial.term_order.TermOrder method) greater_tuple_wdegrevlex() (sage.rings.polynomial.term_order.TermOrder method) groebner_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) groebner_fan() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) GroebnerStrategy (class in sage.rings.polynomial.pbori)

H

hamming_weight() (sage.rings.polynomial.polynomial_element.Polynomial method) has_any_inverse() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) has_constant_part() (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.BooleConstant method) has_degree_order() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) has_inverse_of() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) has_root() (sage.rings.polynomial.real_roots.island method)

head_normal_form() (sage.rings.polynomial.pbori.ReductionStrategy method) hensel_lift() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) hilbert_numerator() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) hilbert_polynomial() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) hilbert_series() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) homogenize() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method)

I

id() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) ideal() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) Ideal_1poly_field (class in sage.rings.polynomial.ideal) if_then_else() (in module sage.rings.polynomial.pbori) implications() (sage.rings.polynomial.pbori.GroebnerStrategy method) include_divisors() (sage.rings.polynomial.pbori.BooleSet method) increase_precision() (sage.rings.polynomial.real_roots.ocean method) index() (sage.rings.polynomial.pbori.BooleanMonomial method) InfiniteGenDict (class in sage.rings.polynomial.infinite_polynomial_ring) InfinitePolynomial() (in module 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) 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) 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.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) integral_closure() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) inter_reduction() (in module sage.rings.polynomial.toy_buchberger) interpolate() (in module sage.rings.polynomial.pbori) interpolate_smallest_lex() (in module sage.rings.polynomial.pbori) interpolation_polynomial() (sage.rings.polynomial.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.BooleanPolynomialIdeal method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) interreduction() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) intersect() (sage.rings.polynomial.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) inverse_mod() (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) 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_generic.MPolynomialRing_generic method) is_block_order() (sage.rings.polynomial.term_order.TermOrder method) is_commutative() (sage.rings.polynomial.plural.NCPolynomialRing_plural 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.BooleConstant method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural 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_equal() (sage.rings.polynomial.pbori.BooleanPolynomial method)

is_exact() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_macaulay2_repr method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) is_field() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) is_finite() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_domain method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) is_gen() (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.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.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_integral_domain() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general 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_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_mpair method) (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.plural.NCPolynomial_plural method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_MPolynomial() (in module sage.rings.polynomial.multi_polynomial) (in module sage.rings.polynomial.multi_polynomial_element) is_MPolynomialIdeal() (in module sage.rings.polynomial.multi_polynomial_ideal) is_MPolynomialRing() (in module sage.rings.polynomial.multi_polynomial_ring_generic) is_nilpotent() (sage.rings.polynomial.polynomial_element.Polynomial method) is_noetherian() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) is_one() (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.BooleConstant method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template 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.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_singleton() (sage.rings.polynomial.pbori.BooleanPolynomial method) is_singleton_or_pair() (sage.rings.polynomial.pbori.BooleanPolynomial method) is_sparse() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) is_square() (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_term() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.polynomial_element.Polynomial method) is_triangular() (in module sage.rings.polynomial.toy_variety) is_unique_factorization_domain() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) is_unit() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.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.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) is_weighted_degree_order() (sage.rings.polynomial.term_order.TermOrder method) is_zero() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleConstant method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural 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) iterindex() (sage.rings.polynomial.pbori.BooleanMonomial method)

J

jacobian_ideal() (sage.rings.polynomial.multi_polynomial.MPolynomial method)

K

karatsuba_threshold() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) kbase_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular)

krull_dimension() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)

L

lagrange_polynomial() (sage.rings.polynomial.polynomial_ring.PolynomialRing_field method) latex() (sage.rings.polynomial.polydict.PolyDict method) LaurentPolynomial_generic (class in sage.rings.polynomial.laurent_polynomial) LaurentPolynomial_mpair (class in sage.rings.polynomial.laurent_polynomial) LaurentPolynomial_univariate (class in sage.rings.polynomial.laurent_polynomial) LaurentPolynomialRing() (in module sage.rings.polynomial.laurent_polynomial_ring) LaurentPolynomialRing_generic (class in sage.rings.polynomial.laurent_polynomial_ring) LaurentPolynomialRing_mpair (class in sage.rings.polynomial.laurent_polynomial_ring) LaurentPolynomialRing_univariate (class in sage.rings.polynomial.laurent_polynomial_ring) LC() (in module sage.rings.polynomial.toy_d_basis) lc() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.plural.NCPolynomial_plural method) LCM() (in module sage.rings.polynomial.toy_buchberger) lcm() (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_rational_flint.Polynomial_rational_flint method) lcmt() (sage.rings.polynomial.polydict.PolyDict method) lead() (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.PolynomialConstruct method) (sage.rings.polynomial.pbori.PolynomialFactory method) lead_deg() (sage.rings.polynomial.pbori.BooleanPolynomial method) lead_divisors() (sage.rings.polynomial.pbori.BooleanPolynomial method) leading_coefficient() (sage.rings.polynomial.polynomial_element.Polynomial method)

less_bits() (sage.rings.polynomial.real_roots.island method) lex_lead() (sage.rings.polynomial.pbori.BooleanPolynomial method) lex_lead_deg() (sage.rings.polynomial.pbori.BooleanPolynomial method) lift() (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) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) linear_map (class in sage.rings.polynomial.real_roots) linear_representation() (in module sage.rings.polynomial.toy_variety) list() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polydict.PolyDict method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse 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_integer_dense_ntl.Polynomial_integer_dense_ntl method) (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) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) ll_red_nf_noredsb() (in module sage.rings.polynomial.pbori) ll_red_nf_noredsb_single_recursive_call() (in module sage.rings.polynomial.pbori) ll_red_nf_redsb() (in module sage.rings.polynomial.pbori) ll_reduce_all() (sage.rings.polynomial.pbori.GroebnerStrategy method) LM() (in module sage.rings.polynomial.toy_buchberger) (in module sage.rings.polynomial.toy_d_basis) lm() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) lshift_coeffs() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) lsign() (sage.rings.polynomial.real_roots.bernstein_polynomial_factory method) LT() (in module sage.rings.polynomial.toy_buchberger) lt() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method)

M

macaulay2_str() (sage.rings.polynomial.term_order.TermOrder method) macaulay_resultant() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) magma_str() (sage.rings.polynomial.term_order.TermOrder method) main() (sage.rings.polynomial.pbori.FGLMStrategy method) make_element() (in module sage.rings.polynomial.polynomial_gf2x) (in module sage.rings.polynomial.polynomial_modn_dense_ntl) (in module sage.rings.polynomial.polynomial_zmod_flint) (in module sage.rings.polynomial.polynomial_zz_pex) make_ETuple() (in module sage.rings.polynomial.polydict) make_generic_polynomial() (in module sage.rings.polynomial.polynomial_element) make_padic_poly() (in module sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense) make_PolyDict() (in module sage.rings.polynomial.polydict) make_PolynomialRealDense() (in module sage.rings.polynomial.polynomial_real_mpfr_dense) map_coefficients() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) map_every_x_to_x_plus_one() (in module sage.rings.polynomial.pbori) (sage.rings.polynomial.pbori.BooleanPolynomial method) matrix() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) (sage.rings.polynomial.term_order.TermOrder method) max_abs_doublevec() (in module sage.rings.polynomial.real_roots) max_bitsize_intvec_doctest() (in module sage.rings.polynomial.real_roots) max_exp() (sage.rings.polynomial.polydict.PolyDict method) max_index() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) maximal_degree() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) maximum_root_first_lambda() (in module sage.rings.polynomial.real_roots) maximum_root_local_max() (in module sage.rings.polynomial.real_roots) min_exp() (sage.rings.polynomial.polydict.PolyDict method) min_max_delta_intvec() (in module sage.rings.polynomial.real_roots) min_max_diff_doublevec() (in module sage.rings.polynomial.real_roots) min_max_diff_intvec() (in module sage.rings.polynomial.real_roots) minimal_associated_primes() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) minimal_elements() (sage.rings.polynomial.pbori.BooleSet method) minimalize() (sage.rings.polynomial.pbori.GroebnerStrategy method) minimalize_and_tail_reduce() (sage.rings.polynomial.pbori.GroebnerStrategy method) minpoly() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) mk_context() (in module sage.rings.polynomial.real_roots) mk_ibpf() (in module sage.rings.polynomial.real_roots) mk_ibpi() (in module sage.rings.polynomial.real_roots) mod() (sage.rings.polynomial.polynomial_element.Polynomial method) mod_mon_set() (in module sage.rings.polynomial.pbori) mod_var_set() (in module sage.rings.polynomial.pbori)

modular_composition() (sage.rings.polynomial.polynomial_gf2x.Polynomial_GF2X method) modulus() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_n method) monic() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) monics() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) monomial_all_divisors() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) monomial_coefficient() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) monomial_divides() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) monomial_lcm() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) monomial_pairwise_prime() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) monomial_quotient() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) monomial_reduce() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) MonomialConstruct (class in sage.rings.polynomial.pbori) MonomialFactory (class in sage.rings.polynomial.pbori) monomials() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) more_bits() (sage.rings.polynomial.real_roots.island method) MPolynomial (class in sage.rings.polynomial.multi_polynomial) MPolynomial_element (class in sage.rings.polynomial.multi_polynomial_element) MPolynomial_libsingular (class in sage.rings.polynomial.multi_polynomial_libsingular) MPolynomial_polydict (class in sage.rings.polynomial.multi_polynomial_element) MPolynomialIdeal (class in sage.rings.polynomial.multi_polynomial_ideal) MPolynomialIdeal_macaulay2_repr (class in sage.rings.polynomial.multi_polynomial_ideal) MPolynomialIdeal_magma_repr (class in sage.rings.polynomial.multi_polynomial_ideal) MPolynomialIdeal_singular_base_repr (class in sage.rings.polynomial.multi_polynomial_ideal) MPolynomialIdeal_singular_repr (class in sage.rings.polynomial.multi_polynomial_ideal) MPolynomialRing_generic (class in sage.rings.polynomial.multi_polynomial_ring_generic) MPolynomialRing_libsingular (class in sage.rings.polynomial.multi_polynomial_libsingular) MPolynomialRing_macaulay2_repr (class in sage.rings.polynomial.multi_polynomial_ring) MPolynomialRing_polydict (class in sage.rings.polynomial.multi_polynomial_ring) MPolynomialRing_polydict_domain (class in sage.rings.polynomial.multi_polynomial_ring) mul_pd (class in sage.rings.polynomial.polynomial_compiled) mult_fact_sim_C() (in module sage.rings.polynomial.pbori) multiples() (sage.rings.polynomial.pbori.BooleanMonomial method) multiples_of() (sage.rings.polynomial.pbori.BooleSet method) my_cmp() (in module sage.rings.polynomial.cyclotomic)

N

n_nodes() (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.BooleSet method) n_variables() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) n_vars() (sage.rings.polynomial.pbori.BooleanPolynomial method) name() (sage.rings.polynomial.term_order.TermOrder method) navigation() (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleSet method) (sage.rings.polynomial.pbori.BooleanPolynomial method) NCPolynomial_plural (class in sage.rings.polynomial.plural) NCPolynomialIdeal (class in sage.rings.polynomial.multi_polynomial_ideal) NCPolynomialRing_plural (class in sage.rings.polynomial.plural) new_CRing() (in module sage.rings.polynomial.plural) new_NRing() (in module sage.rings.polynomial.plural) new_Ring() (in module sage.rings.polynomial.plural) newton_polygon() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) newton_polytope() (sage.rings.polynomial.multi_polynomial.MPolynomial method) newton_raphson() (sage.rings.polynomial.polynomial_element.Polynomial method) newton_slopes() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial method) next() (sage.rings.polynomial.infinite_polynomial_ring.GenDictWithBasering method) (sage.rings.polynomial.pbori.BooleSetIterator method) (sage.rings.polynomial.pbori.BooleanMonomialIterator method) (sage.rings.polynomial.pbori.BooleanMonomialVariableIterator method) (sage.rings.polynomial.pbori.BooleanPolynomialIterator method) (sage.rings.polynomial.pbori.BooleanPolynomialVectorIterator method) (sage.rings.polynomial.polydict.ETupleIter method) next_spoly() (sage.rings.polynomial.pbori.GroebnerStrategy method)

nf() (sage.rings.polynomial.pbori.GroebnerStrategy method) (sage.rings.polynomial.pbori.ReductionStrategy method) nf3() (in module sage.rings.polynomial.pbori) ngens() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.pbori.BooleanMonomialMonoid method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) nmonomials() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) nonzero_positions() (sage.rings.polynomial.polydict.ETuple method) nonzero_values() (sage.rings.polynomial.polydict.ETuple method) norm() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) normal_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) normalisation() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) npairs() (sage.rings.polynomial.pbori.GroebnerStrategy method) nparts() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) ntl_set_directly() (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) ntl_ZZ_pX() (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_n method) number_field() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) numerator() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) nvariables() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleanPolynomial method)

O

ocean (class in sage.rings.polynomial.real_roots) one() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method)

ord() (sage.rings.polynomial.polynomial_element.Polynomial method) order() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)

P

p (sage.rings.polynomial.pbori.BooleanPolynomialEntry attribute) padded_list() (sage.rings.polynomial.polynomial_element.Polynomial method) parallel_reduce() (in module sage.rings.polynomial.pbori) parameter() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) part() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) parts() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) plot() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) poly_repr() (sage.rings.polynomial.polydict.PolyDict method) PolyDict (class in sage.rings.polynomial.polydict) polygen() (in module sage.rings.polynomial.polynomial_ring) polygens() (in module sage.rings.polynomial.polynomial_ring) Polynomial (class in sage.rings.polynomial.polynomial_element) polynomial() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) Polynomial_absolute_number_field_dense (class in sage.rings.polynomial.polynomial_number_field) polynomial_coefficient() (sage.rings.polynomial.polydict.PolyDict method) polynomial_construction() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) polynomial_default_category() (in module sage.rings.polynomial.polynomial_ring_constructor) Polynomial_dense_mod_n (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_mod_p (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_modn_ntl_ZZ (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_modn_ntl_zz (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_generic_dense (class in sage.rings.polynomial.polynomial_element) Polynomial_generic_dense_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_domain (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_GF2X (class in sage.rings.polynomial.polynomial_gf2x) Polynomial_integer_dense_flint (class in sage.rings.polynomial.polynomial_integer_dense_flint) Polynomial_integer_dense_ntl (class in sage.rings.polynomial.polynomial_integer_dense_ntl) Polynomial_padic (class in sage.rings.polynomial.padics.polynomial_padic) Polynomial_padic_capped_relative_dense (class in sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense) Polynomial_padic_flat (class in sage.rings.polynomial.padics.polynomial_padic_flat) Polynomial_rational_flint (class in sage.rings.polynomial.polynomial_rational_flint) Polynomial_relative_number_field_dense (class in sage.rings.polynomial.polynomial_number_field) polynomial_ring() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_dense method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) Polynomial_singular_repr (class in sage.rings.polynomial.polynomial_singular_interface) Polynomial_template (class in sage.rings.polynomial.polynomial_gf2x) (class in sage.rings.polynomial.polynomial_zmod_flint) (class in sage.rings.polynomial.polynomial_zz_pex) Polynomial_zmod_flint (class in sage.rings.polynomial.polynomial_zmod_flint) Polynomial_ZZ_pEX (class in sage.rings.polynomial.polynomial_zz_pex) Polynomial_ZZ_pX (class in sage.rings.polynomial.polynomial_zz_pex) PolynomialBaseringInjection (class in sage.rings.polynomial.polynomial_element)

PolynomialConstruct (class in sage.rings.polynomial.pbori) PolynomialFactory (class in sage.rings.polynomial.pbori) PolynomialQuotientRing() (in module sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_domain (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_field (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_generic (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRingElement (class in sage.rings.polynomial.polynomial_quotient_ring_element) PolynomialRealDense (class in sage.rings.polynomial.polynomial_real_mpfr_dense) PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor) PolynomialRing_commutative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_finite_field (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_mod_n (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_mod_p (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_capped_relative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_generic (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_lazy (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_capped_absolute (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_capped_relative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_fixed_mod (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_generic (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_lazy (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_field (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_general (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_integral_domain (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_singular_repr (class in sage.rings.polynomial.polynomial_singular_interface) PolynomialRingHomomorphism_from_base (class in sage.rings.polynomial.polynomial_ring_homomorphism) polynomials() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) PolynomialSequence() (in module sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_generic (class in sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_gf2 (class in sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_gf2e (class in sage.rings.polynomial.multi_polynomial_sequence) pow_pd (class in sage.rings.polynomial.polynomial_compiled) prec() (sage.rings.polynomial.polynomial_element.Polynomial method) prec_degree() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) precision_absolute() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) precision_relative() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) PrecisionError precompute_degree_reduction_cache() (in module sage.rings.polynomial.real_roots) primary_decomposition() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) primary_decomposition_complete() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) pseudo_divrem() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) pseudoinverse() (in module sage.rings.polynomial.real_roots)

Q

quo_rem() (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.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_field method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse 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_integer_dense_ntl.Polynomial_integer_dense_ntl method) (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) (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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) quotient() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)

quotient_by_principal_ideal() (sage.rings.polynomial.polynomial_ring.PolynomialRing_commutative method)

R

radical() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) random_element() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) random_set() (in module sage.rings.polynomial.pbori) rational_reconstruct() (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) recursively_insert() (in module sage.rings.polynomial.pbori) red_tail() (in module sage.rings.polynomial.pbori) reduce() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.plural.NCPolynomial_plural 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_normal_form() (sage.rings.polynomial.pbori.ReductionStrategy method) reducible_by() (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleanPolynomial method) reduction_strategy (sage.rings.polynomial.pbori.GroebnerStrategy attribute) ReductionStrategy (class in sage.rings.polynomial.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.complex_roots) 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) relations() (sage.rings.polynomial.plural.NCPolynomialRing_plural method) relative_bounds() (in module sage.rings.polynomial.real_roots)

remove_var() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) repr_long() (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic 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_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) reverse_intvec() (in module sage.rings.polynomial.real_roots) reversed() (sage.rings.polynomial.polydict.ETuple method) revert_series() (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) ring() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleSet method) (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleanPolynomial method) root_bounds() (in module sage.rings.polynomial.real_roots) root_field() (sage.rings.polynomial.polynomial_element.Polynomial method) roots() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.real_roots.ocean 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)

S

S_class_group() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) S_units() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) sage.rings.polynomial.complex_roots (module) sage.rings.polynomial.convolution (module) sage.rings.polynomial.cyclotomic (module) sage.rings.polynomial.ideal (module) sage.rings.polynomial.infinite_polynomial_element (module) sage.rings.polynomial.infinite_polynomial_ring (module) sage.rings.polynomial.laurent_polynomial (module) sage.rings.polynomial.laurent_polynomial_ring (module) sage.rings.polynomial.multi_polynomial (module) sage.rings.polynomial.multi_polynomial_element (module) sage.rings.polynomial.multi_polynomial_ideal (module) sage.rings.polynomial.multi_polynomial_ideal_libsingular (module) sage.rings.polynomial.multi_polynomial_libsingular (module) sage.rings.polynomial.multi_polynomial_ring (module) sage.rings.polynomial.multi_polynomial_ring_generic (module) sage.rings.polynomial.multi_polynomial_sequence (module) sage.rings.polynomial.padics.polynomial_padic (module) sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense (module) sage.rings.polynomial.padics.polynomial_padic_flat (module) sage.rings.polynomial.pbori (module) sage.rings.polynomial.plural (module) sage.rings.polynomial.polydict (module) sage.rings.polynomial.polynomial_compiled (module) sage.rings.polynomial.polynomial_element (module) sage.rings.polynomial.polynomial_element_generic (module) sage.rings.polynomial.polynomial_fateman (module) sage.rings.polynomial.polynomial_gf2x (module) sage.rings.polynomial.polynomial_integer_dense_flint (module) sage.rings.polynomial.polynomial_integer_dense_ntl (module) sage.rings.polynomial.polynomial_modn_dense_ntl (module) sage.rings.polynomial.polynomial_number_field (module) sage.rings.polynomial.polynomial_quotient_ring (module) sage.rings.polynomial.polynomial_quotient_ring_element (module) sage.rings.polynomial.polynomial_rational_flint (module) sage.rings.polynomial.polynomial_real_mpfr_dense (module) sage.rings.polynomial.polynomial_ring (module) sage.rings.polynomial.polynomial_ring_constructor (module) sage.rings.polynomial.polynomial_ring_homomorphism (module) sage.rings.polynomial.polynomial_singular_interface (module) sage.rings.polynomial.polynomial_zmod_flint (module) sage.rings.polynomial.polynomial_zz_pex (module) sage.rings.polynomial.real_roots (module) sage.rings.polynomial.symmetric_ideal (module) sage.rings.polynomial.symmetric_reduction (module) sage.rings.polynomial.term_order (module) sage.rings.polynomial.toy_buchberger (module) sage.rings.polynomial.toy_d_basis (module) sage.rings.polynomial.toy_variety (module) saturation() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) SCA() (in module sage.rings.polynomial.plural)

scalar_lmult() (sage.rings.polynomial.polydict.PolyDict method) scalar_rmult() (sage.rings.polynomial.polydict.PolyDict method) scale_intvec_var() (in module sage.rings.polynomial.real_roots) section() (sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method) select() (in module sage.rings.polynomial.toy_buchberger) (in module sage.rings.polynomial.toy_d_basis) (sage.rings.polynomial.pbori.GroebnerStrategy method) selmer_group() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) set() (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleSet method) (sage.rings.polynomial.pbori.BooleanPolynomial method) set_karatsuba_threshold() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) set_random_seed() (in module sage.rings.polynomial.pbori) setgens() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) shift() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) (sage.rings.polynomial.polynomial_gf2x.Polynomial_template method) (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) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) shrink_bp() (sage.rings.polynomial.real_roots.island method) singular_moreblocks() (sage.rings.polynomial.term_order.TermOrder method) singular_str() (sage.rings.polynomial.term_order.TermOrder method) size_double() (sage.rings.polynomial.pbori.BooleSet method) slimgb_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular) slope_range() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_float method) (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method) small_roots() (in module sage.rings.polynomial.polynomial_modn_dense_ntl) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_n method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) small_spolys_in_next_degree() (sage.rings.polynomial.pbori.GroebnerStrategy method) solve() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method) some_elements() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) some_spolys_in_next_degree() (sage.rings.polynomial.pbori.GroebnerStrategy method) sparse_iter() (sage.rings.polynomial.polydict.ETuple method) split_for_targets() (in module sage.rings.polynomial.real_roots) splitting_field() (sage.rings.polynomial.polynomial_element.Polynomial method) spol() (in module sage.rings.polynomial.toy_buchberger) (in module sage.rings.polynomial.toy_d_basis) spoly() (sage.rings.polynomial.pbori.BooleanPolynomial method) sqr_pd (class in sage.rings.polynomial.polynomial_compiled) square() (sage.rings.polynomial.polynomial_element.Polynomial method) squarefree_decomposition() (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_zmod_flint.Polynomial_zmod_flint method) squeezed() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) stable_hash() (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleSet method) (sage.rings.polynomial.pbori.BooleanPolynomial method) std() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) std_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular) stretch() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) sub_m_mul_q() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) subs() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair 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.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) subsample_vec_doctest() (in module sage.rings.polynomial.real_roots) subset0() (sage.rings.polynomial.pbori.BooleSet method) subset1() (sage.rings.polynomial.pbori.BooleSet method) substitute() (sage.rings.polynomial.polynomial_element.Polynomial method) substitute_variables() (in module sage.rings.polynomial.pbori) suggest_plugin_variable() (sage.rings.polynomial.pbori.GroebnerStrategy method) sylvester_matrix() (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) symmetric_basis() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) symmetric_cancellation_order() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) SymmetricIdeal (class in sage.rings.polynomial.symmetric_ideal) SymmetricReductionStrategy (class in sage.rings.polynomial.symmetric_reduction) symmetrisation() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) symmGB_F2() (sage.rings.polynomial.pbori.GroebnerStrategy method) syzygy_module() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_base_repr method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method)

T

tail() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) tailreduce() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) taylor_shift1_intvec() (in module sage.rings.polynomial.real_roots) tensor_with_ring() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_dense method) (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) term_order() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) terminal_one() (sage.rings.polynomial.pbori.CCuddNavigator method) TermOrder (class in sage.rings.polynomial.term_order) TermOrder_from_pb_order() (in module sage.rings.polynomial.pbori) termorder_from_singular() (in module sage.rings.polynomial.term_order) terms() (sage.rings.polynomial.pbori.BooleanPolynomial method) then_branch() (sage.rings.polynomial.pbori.CCuddNavigator method) to_bernstein() (in module sage.rings.polynomial.real_roots) to_bernstein_warp() (in module sage.rings.polynomial.real_roots) to_ocean() (sage.rings.polynomial.real_roots.linear_map method) (sage.rings.polynomial.real_roots.warp_map method)

top_index() (in module sage.rings.polynomial.pbori) top_sugar() (sage.rings.polynomial.pbori.GroebnerStrategy method) total_degree() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.polydict.PolyDict method) trace() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) transformed_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) triangular_decomposition() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) triangular_factorization() (in module sage.rings.polynomial.toy_variety) truncate() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense 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_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method) truncate_abs() (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) try_rand_split() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) try_split() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) tuple_weight() (sage.rings.polynomial.term_order.TermOrder method) twostd() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method)

U

unary_pd (class in sage.rings.polynomial.polynomial_compiled) union() (sage.rings.polynomial.pbori.BooleSet method) units() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) univar_pd (class in sage.rings.polynomial.polynomial_compiled) univariate_polynomial() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) univariate_ring() (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) universal_discriminant() (in module sage.rings.polynomial.polynomial_element) universe() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) unpickle_BooleanPolynomial() (in module sage.rings.polynomial.pbori)

unpickle_BooleanPolynomial0() (in module sage.rings.polynomial.pbori) unpickle_BooleanPolynomialRing() (in module sage.rings.polynomial.pbori) unpickle_MPolynomial_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular) unpickle_MPolynomialRing_generic() (in module sage.rings.polynomial.multi_polynomial_ring_generic) unpickle_MPolynomialRing_generic_v1() (in module sage.rings.polynomial.multi_polynomial_ring_generic) unpickle_MPolynomialRing_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular) unpickle_NCPolynomial_plural() (in module sage.rings.polynomial.plural) update() (in module sage.rings.polynomial.toy_buchberger) (in module sage.rings.polynomial.toy_d_basis) usign() (sage.rings.polynomial.real_roots.bernstein_polynomial_factory method)

V

valuation() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense 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_modn_dense_ntl.Polynomial_dense_modn_ntl_ZZ method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) valuation_of_coefficient() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) value() (sage.rings.polynomial.pbori.CCuddNavigator method) var_pd (class in sage.rings.polynomial.polynomial_compiled) variable() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) variable_has_value() (sage.rings.polynomial.pbori.GroebnerStrategy method) variable_name() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.rings.polynomial.polynomial_element.Polynomial method) variable_names_recursive() (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) VariableBlock (class in sage.rings.polynomial.pbori)

VariableConstruct (class in sage.rings.polynomial.pbori) VariableFactory (class in sage.rings.polynomial.pbori) variables() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (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.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleConstant method) (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) variations() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) variety() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.pbori.BooleanPolynomialIdeal method) varname_cmp() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method) vars() (sage.rings.polynomial.pbori.BooleSet method) vars_as_monomial() (sage.rings.polynomial.pbori.BooleanPolynomial method) vector_space_dimension() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)

W

warp_map (class in sage.rings.polynomial.real_roots) weighted_degree() (sage.rings.polynomial.multi_polynomial.MPolynomial method) weights() (sage.rings.polynomial.term_order.TermOrder method)

weil_restriction() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2e method) weyl_algebra() (sage.rings.polynomial.multi_polynomial_ring_generic.MPolynomialRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_commutative method) wordsize_rational() (in module sage.rings.polynomial.real_roots)

X

xgcd() (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_gf2x.Polynomial_template 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_template method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method)

Z

zero() (sage.rings.polynomial.pbori.BooleanPolynomialRing method) zeros() (in module sage.rings.polynomial.pbori)

zeros_in() (sage.rings.polynomial.pbori.BooleanPolynomial method)