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Sage 9.5 Reference Manual: Polynomials
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Index
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A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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X
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Z
_
_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
A_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
abc_pd (class in sage.rings.polynomial.polynomial_compiled)
adams_operator() (sage.rings.polynomial.polynomial_element.Polynomial method)
add_as_you_wish() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
add_bigoh() (sage.rings.polynomial.polynomial_element.Polynomial method)
add_generator() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
(sage.rings.polynomial.pbori.pbori.ReductionStrategy method)
(sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method)
add_generator_delayed() (sage.rings.polynomial.pbori.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.pbori)
algebraic_dependence() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
AlgebraicForm (class in sage.rings.invariants.invariant_theory)
all_done() (sage.rings.polynomial.real_roots.ocean method)
all_generators() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
all_roots_in_interval() (sage.rings.polynomial.polynomial_element.Polynomial method)
all_spolys_in_next_degree() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
alpha_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic 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.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)
arithmetic_invariants() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
as_float() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial_float method)
(sage.rings.polynomial.real_roots.interval_bernstein_polynomial_integer method)
as_QuadraticForm() (sage.rings.invariants.invariant_theory.QuadraticForm method)
associated_primes() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
B
B_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
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.fraction_field.FractionField_generic method)
(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)
beta_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
binary_cubic_coefficients_from_invariants() (in module sage.rings.invariants.reconstruction)
binary_form_from_invariants() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
binary_pd (class in sage.rings.polynomial.polynomial_compiled)
binary_quadratic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
binary_quadratic_coefficients_from_invariants() (in module sage.rings.invariants.reconstruction)
binary_quartic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
binary_quintic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
binary_quintic_coefficients_from_invariants() (in module sage.rings.invariants.reconstruction)
BinaryQuartic (class in sage.rings.invariants.invariant_theory)
BinaryQuintic (class in sage.rings.invariants.invariant_theory)
bitsize_doctest() (in module sage.rings.polynomial.real_roots)
blocks() (sage.rings.polynomial.term_order.TermOrder method)
BooleanMonomial (class in sage.rings.polynomial.pbori.pbori)
BooleanMonomialIterator (class in sage.rings.polynomial.pbori.pbori)
BooleanMonomialMonoid (class in sage.rings.polynomial.pbori.pbori)
BooleanMonomialVariableIterator (class in sage.rings.polynomial.pbori.pbori)
BooleanMulAction (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomial (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomialEntry (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomialIdeal (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomialIterator (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomialRing (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomialRing_constructor() (in module sage.rings.polynomial.polynomial_ring_constructor)
BooleanPolynomialVector (class in sage.rings.polynomial.pbori.pbori)
BooleanPolynomialVectorIterator (class in sage.rings.polynomial.pbori.pbori)
BooleConstant (class in sage.rings.polynomial.pbori.pbori)
BooleSet (class in sage.rings.polynomial.pbori.pbori)
BooleSetIterator (class in sage.rings.polynomial.pbori.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
C_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
can_convert_to_singular() (in module sage.rings.polynomial.polynomial_singular_interface)
can_rewrite() (sage.rings.polynomial.pbori.pbori.ReductionStrategy method)
canonical_form() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
cardinality() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
cartesian_product() (sage.rings.polynomial.pbori.pbori.BooleSet method)
CCuddNavigator (class in sage.rings.polynomial.pbori.pbori)
change() (sage.rings.polynomial.pbori.pbori.BooleSet method)
change_ring() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial 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_base.MPolynomialRing_base method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing 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.fraction_field.FractionField_generic 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_base.MPolynomialRing_base 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.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)
class_number() (sage.rings.fraction_field.FractionField_1poly_field method)
clean_top_by_chain_criterion() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
clebsch_invariants() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
clone() (sage.rings.polynomial.pbori.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.polydict.PolyDict method)
coefficient_matrix() (in module sage.rings.polynomial.toy_variety)
(sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
coefficients() (sage.rings.invariants.invariant_theory.AlgebraicForm method)
(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.invariants.invariant_theory.BinaryQuartic method)
(sage.rings.invariants.invariant_theory.BinaryQuintic method)
(sage.rings.invariants.invariant_theory.QuadraticForm method)
(sage.rings.invariants.invariant_theory.TernaryCubic method)
(sage.rings.invariants.invariant_theory.TernaryQuadratic 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)
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_base.MPolynomialRing_base 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)
compose_power() (sage.rings.polynomial.polynomial_element.Polynomial method)
compose_trunc() (sage.rings.polynomial.polynomial_element.Polynomial method)
composed_op() (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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.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.pbori.BooleanPolynomial 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.fraction_field.FractionField_generic method)
(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_base.MPolynomialRing_base method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
contained_vars() (in module sage.rings.polynomial.pbori.pbori)
contains_one() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
content() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.padics.polynomial_padic.Polynomial_padic 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)
content_ideal() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
context (class in sage.rings.polynomial.real_roots)
convolution() (in module sage.rings.polynomial.convolution)
covariant_conic() (sage.rings.invariants.invariant_theory.TernaryQuadratic method)
cover_ring() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
create_key() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRingFactory method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRingFactory method)
create_object() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRingFactory method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRingFactory method)
cyclotomic_coeffs() (in module sage.rings.polynomial.cyclotomic)
cyclotomic_part() (sage.rings.polynomial.polynomial_element.Polynomial method)
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.pbori.BooleanPolynomialRing method)
deg() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleConstant 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.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial 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.Polynomial_generic_dense_inexact 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)
delta_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
Delta_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
(sage.rings.invariants.invariant_theory.TwoTernaryQuadratics method)
Delta_prime_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
(sage.rings.invariants.invariant_theory.TwoTernaryQuadratics method)
denom() (sage.rings.fraction_field_FpT.FpTElement method)
denominator() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.fraction_field_FpT.FpTElement method)
(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 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.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.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.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.invariants.invariant_theory.QuadraticForm method)
(sage.rings.polynomial.multi_polynomial.MPolynomial 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)
dispersion() (sage.rings.polynomial.polynomial_element.Polynomial method)
dispersion_set() (sage.rings.polynomial.polynomial_element.Polynomial method)
divide() (sage.rings.polynomial.pbori.pbori.BooleSet method)
divided_difference() (sage.rings.polynomial.polynomial_ring.PolynomialRing_field method)
divides() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
divisors() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
divisors_of() (sage.rings.polynomial.pbori.pbori.BooleSet method)
done() (sage.rings.polynomial.real_roots.island method)
dotprod() (sage.rings.polynomial.polydict.ETuple 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)
dual() (sage.rings.invariants.invariant_theory.QuadraticForm method)
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)
eadd_scaled() (sage.rings.polynomial.polydict.ETuple method)
easy_linear_factors() (in module sage.rings.polynomial.pbori.pbori)
EisensteinD() (sage.rings.invariants.invariant_theory.BinaryQuartic method)
EisensteinE() (sage.rings.invariants.invariant_theory.BinaryQuartic method)
Element (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_mpair attribute)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_univariate attribute)
(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)
Element_hidden (sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict attribute)
elength() (sage.rings.polynomial.pbori.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)
(sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method)
else_branch() (sage.rings.polynomial.pbori.pbori.CCuddNavigator method)
emax() (sage.rings.polynomial.polydict.ETuple method)
emin() (sage.rings.polynomial.polydict.ETuple method)
empty() (sage.rings.polynomial.pbori.pbori.BooleSet method)
emul() (sage.rings.polynomial.polydict.ETuple method)
escalar_div() (sage.rings.polynomial.polydict.ETuple method)
esub() (sage.rings.polynomial.polydict.ETuple method)
ETuple (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.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)
F
F_covariant() (sage.rings.invariants.invariant_theory.TwoTernaryQuadratics method)
factor() (sage.rings.fraction_field_FpT.FpTElement 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.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_of_slope() (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_cdv 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.pbori.GroebnerStrategy method)
fcp() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method)
FGLMStrategy (class in sage.rings.polynomial.pbori.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() (sage.rings.invariants.invariant_theory.TwoAlgebraicForms method)
first_hilbert_series() (in module sage.rings.polynomial.hilbert)
first_term() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
flattening_morphism() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
FlatteningMorphism (class in sage.rings.polynomial.flatten)
footprint() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method)
form() (sage.rings.invariants.invariant_theory.AlgebraicForm method)
FormsBase (class in sage.rings.invariants.invariant_theory)
Fp_FpT_coerce (class in sage.rings.fraction_field_FpT)
FpT (class in sage.rings.fraction_field_FpT)
FpT_Fp_section (class in sage.rings.fraction_field_FpT)
FpT_iter (class in sage.rings.fraction_field_FpT)
FpT_Polyring_section (class in sage.rings.fraction_field_FpT)
FpTElement (class in sage.rings.fraction_field_FpT)
fraction_field() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_field method)
FractionField() (in module sage.rings.fraction_field)
FractionField_1poly_field (class in sage.rings.fraction_field)
FractionField_generic (class in sage.rings.fraction_field)
FractionFieldElement (class in sage.rings.fraction_field_element)
FractionFieldElement_1poly_field (class in sage.rings.fraction_field_element)
FractionFieldEmbedding (class in sage.rings.fraction_field)
FractionFieldEmbeddingSection (class in sage.rings.fraction_field)
FractionSpecializationMorphism (class in sage.rings.polynomial.flatten)
from_invariants() (sage.rings.invariants.invariant_theory.BinaryQuintic class method)
(sage.rings.invariants.invariant_theory.QuadraticForm class method)
from_ocean() (sage.rings.polynomial.real_roots.linear_map method)
(sage.rings.polynomial.real_roots.warp_map method)
function_field() (sage.rings.fraction_field.FractionField_1poly_field method)
G
g_covariant() (sage.rings.invariants.invariant_theory.BinaryQuartic method)
galois_group() (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
galois_group_davenport_smith_test() (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
gamma_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
gauss_on_polys() (in module sage.rings.polynomial.pbori.pbori)
gcd() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse 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.pbori.pbori.BooleanMonomial method)
(sage.rings.polynomial.polynomial_element.Polynomial 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_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.fraction_field.FractionField_generic method)
(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_base.MPolynomialRing_base method)
(sage.rings.polynomial.pbori.pbori.BooleanMonomialMonoid method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing 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)
generic_power_trunc() (in module sage.rings.polynomial.polynomial_element)
gens() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method)
(sage.rings.polynomial.pbori.pbori.BooleanMonomialMonoid method)
(sage.rings.polynomial.pbori.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.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_form() (sage.rings.invariants.invariant_theory.SeveralAlgebraicForms 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.pbori.BooleanPolynomialRing method)
get_realfield_rndu() (in module sage.rings.polynomial.real_roots)
get_var_mapping() (in module sage.rings.polynomial.pbori.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.pbori.BooleanPolynomial method)
gradient() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
greater_tuple (sage.rings.polynomial.term_order.TermOrder attribute)
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.ideal.Ideal_1poly_field method)
(sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method)
(sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
(sage.rings.polynomial.pbori.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.pbori)
H
h_covariant() (sage.rings.invariants.invariant_theory.BinaryQuartic method)
H_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
hamming_weight() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_element method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleConstant method)
has_cyclotomic_factor() (sage.rings.polynomial.polynomial_element.Polynomial method)
has_degree_order() (sage.rings.polynomial.pbori.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.pbori.ReductionStrategy method)
hensel_lift() (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_cdv method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
Hessian() (sage.rings.invariants.invariant_theory.TernaryCubic method)
hilbert_numerator() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
hilbert_poincare_series() (in module sage.rings.polynomial.hilbert)
hilbert_polynomial() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
hilbert_series() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
homogeneous_components() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
homogeneous_symmetric_function() (in module sage.rings.polynomial.omega)
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)
homogenized() (sage.rings.invariants.invariant_theory.AlgebraicForm method)
(sage.rings.invariants.invariant_theory.SeveralAlgebraicForms method)
I
i_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
id() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
ideal() (sage.rings.polynomial.laurent_polynomial_ring.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.pbori.BooleanPolynomialRing method)
Ideal_1poly_field (class in sage.rings.polynomial.ideal)
if_then_else() (in module sage.rings.polynomial.pbori.pbori)
implications() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
include_divisors() (sage.rings.polynomial.pbori.pbori.BooleSet method)
increase_precision() (sage.rings.polynomial.real_roots.ocean method)
index() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
InfiniteGenDict (class in sage.rings.polynomial.infinite_polynomial_ring)
InfinitePolynomial() (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)
inhomogeneous_quadratic_form() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
int_list() (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_n method)
(sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method)
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_element_generic.Polynomial_generic_sparse method)
(sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method)
integral_closure() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
inter_reduction() (in module sage.rings.polynomial.toy_buchberger)
interpolate() (in module sage.rings.polynomial.pbori.pbori)
interpolate_smallest_lex() (in module sage.rings.polynomial.pbori.pbori)
interpolation_polynomial() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
interred_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular)
interreduced_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method)
(sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method)
interreduction() (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method)
intersect() (sage.rings.polynomial.pbori.pbori.BooleSet method)
intersection() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
interval_bernstein_polynomial (class in sage.rings.polynomial.real_roots)
interval_bernstein_polynomial_float (class in sage.rings.polynomial.real_roots)
interval_bernstein_polynomial_integer (class in sage.rings.polynomial.real_roots)
interval_roots() (in module sage.rings.polynomial.complex_roots)
intervals_disjoint() (in module sage.rings.polynomial.complex_roots)
intvec_to_doublevec() (in module sage.rings.polynomial.real_roots)
invariants() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
(sage.rings.invariants.invariant_theory.QuadraticForm method)
InvariantTheoryFactory (class in sage.rings.invariants.invariant_theory)
inverse() (sage.rings.polynomial.flatten.FlatteningMorphism method)
inverse_mod() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
inverse_of_unit() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
inverse_series_trunc() (sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
irreducible_element() (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_finite_field method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_p method)
irrelevant_ideal() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
is_block_order() (sage.rings.polynomial.term_order.TermOrder method)
is_constant() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleConstant method)
(sage.rings.polynomial.polydict.ETuple method)
(sage.rings.polynomial.polydict.PolyDict method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
is_cyclotomic() (sage.rings.polynomial.polynomial_element.Polynomial method)
is_cyclotomic_product() (sage.rings.polynomial.polynomial_element.Polynomial method)
is_eisenstein() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method)
is_equal() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
is_exact() (sage.rings.fraction_field.FractionField_generic method)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
is_field() (sage.rings.fraction_field.FractionField_generic method)
(sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
is_finite() (sage.rings.fraction_field.FractionField_generic method)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
is_FractionField() (in module sage.rings.fraction_field)
is_FractionFieldElement() (in module sage.rings.fraction_field_element)
is_gen() (sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_gf2x.Polynomial_template method)
(sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_ZZ method)
(sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template method)
(sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method)
is_generator() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
is_global() (sage.rings.polynomial.term_order.TermOrder method)
is_groebner() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
is_homogeneous() (sage.rings.invariants.invariant_theory.FormsBase method)
(sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
(sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polydict.PolyDict method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
is_injective() (sage.rings.fraction_field.FractionFieldEmbedding method)
(sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_coercion method)
(sage.rings.polynomial.polynomial_ring_homomorphism.PolynomialRingHomomorphism_from_base method)
is_integral() (sage.rings.fraction_field_element.FractionFieldElement_1poly_field method)
is_integral_domain() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_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.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_base)
is_multiple_of() (sage.rings.polynomial.polydict.ETuple method)
is_nilpotent() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method)
(sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
is_noetherian() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
is_one() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleConstant method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_gf2x.Polynomial_template method)
(sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template method)
(sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method)
is_pair() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
is_Polynomial() (in module sage.rings.polynomial.polynomial_element)
is_PolynomialQuotientRing() (in module sage.rings.polynomial.polynomial_quotient_ring)
is_PolynomialRing() (in module sage.rings.polynomial.polynomial_ring)
is_PolynomialSequence() (in module sage.rings.polynomial.multi_polynomial_sequence)
is_prime() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
is_primitive() (sage.rings.polynomial.polynomial_element.Polynomial method)
is_real_rooted() (sage.rings.polynomial.polynomial_element.Polynomial method)
is_singleton() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
is_singleton_or_pair() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
is_sparse() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
is_square() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.fraction_field_FpT.FpTElement method)
(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)
is_squarefree() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
is_surjective() (sage.rings.fraction_field.FractionFieldEmbedding method)
(sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_coercion method)
(sage.rings.polynomial.polynomial_ring_homomorphism.PolynomialRingHomomorphism_from_base method)
is_symmetric() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
is_term() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial_generic_dense method)
is_triangular() (in module sage.rings.polynomial.toy_variety)
is_unique_factorization_domain() (sage.rings.polynomial.polynomial_ring.PolynomialRing_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.MPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_domain method)
(sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method)
is_univariate() (sage.rings.polynomial.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.pbori.BooleanPolynomial method)
is_weighted_degree_order() (sage.rings.polynomial.term_order.TermOrder method)
is_weil_polynomial() (sage.rings.polynomial.polynomial_element.Polynomial method)
is_zero() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleConstant method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_gf2x.Polynomial_template method)
(sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template method)
(sage.rings.polynomial.polynomial_zz_pex.Polynomial_template method)
island (class in sage.rings.polynomial.real_roots)
iter() (sage.rings.fraction_field_FpT.FpT method)
iterator_exp_coeff() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method)
(sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
iterindex() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
J
j_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
J_covariant() (sage.rings.invariants.invariant_theory.TernaryCubic method)
(sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
(sage.rings.invariants.invariant_theory.TwoTernaryQuadratics method)
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_base.MPolynomialRing_base 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 (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.polynomial_element.Polynomial 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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.PolynomialConstruct method)
(sage.rings.polynomial.pbori.pbori.PolynomialFactory method)
lead_deg() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
lead_divisors() (sage.rings.polynomial.pbori.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.pbori.BooleanPolynomial method)
lex_lead_deg() (sage.rings.polynomial.pbori.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_template method)
(sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method)
ll_red_nf_noredsb() (in module sage.rings.polynomial.pbori.pbori)
ll_red_nf_noredsb_single_recursive_call() (in module sage.rings.polynomial.pbori.pbori)
ll_red_nf_redsb() (in module sage.rings.polynomial.pbori.pbori)
ll_reduce_all() (sage.rings.polynomial.pbori.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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial 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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial 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_base.MPolynomialRing_base method)
MacMahonOmega() (in module sage.rings.polynomial.omega)
magma_str() (sage.rings.polynomial.term_order.TermOrder method)
main() (sage.rings.polynomial.pbori.pbori.FGLMStrategy method)
make_element() (in module sage.rings.fraction_field_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_element_old() (in module sage.rings.fraction_field_element)
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.laurent_polynomial.LaurentPolynomial method)
(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.pbori)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
matrix() (sage.rings.invariants.invariant_theory.QuadraticForm method)
(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)
maximal_order() (sage.rings.fraction_field.FractionField_1poly_field 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.pbori.BooleSet method)
minimalize() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
minimalize_and_tail_reduce() (sage.rings.polynomial.pbori.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.pbori)
mod_var_set() (in module sage.rings.polynomial.pbori.pbori)
modular_composition() (sage.rings.polynomial.polynomial_gf2x.Polynomial_GF2X method)
module
sage.rings.fraction_field
sage.rings.fraction_field_element
sage.rings.fraction_field_FpT
sage.rings.invariants.invariant_theory
sage.rings.invariants.reconstruction
sage.rings.monomials
sage.rings.polynomial.complex_roots
sage.rings.polynomial.convolution
sage.rings.polynomial.cyclotomic
sage.rings.polynomial.flatten
sage.rings.polynomial.hilbert
sage.rings.polynomial.ideal
sage.rings.polynomial.infinite_polynomial_element
sage.rings.polynomial.infinite_polynomial_ring
sage.rings.polynomial.laurent_polynomial
sage.rings.polynomial.laurent_polynomial_ring
sage.rings.polynomial.multi_polynomial
sage.rings.polynomial.multi_polynomial_element
sage.rings.polynomial.multi_polynomial_ideal
sage.rings.polynomial.multi_polynomial_ideal_libsingular
sage.rings.polynomial.multi_polynomial_libsingular
sage.rings.polynomial.multi_polynomial_ring
sage.rings.polynomial.multi_polynomial_ring_base
sage.rings.polynomial.multi_polynomial_sequence
sage.rings.polynomial.omega
sage.rings.polynomial.padics.polynomial_padic
sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense
sage.rings.polynomial.padics.polynomial_padic_flat
sage.rings.polynomial.pbori.pbori
sage.rings.polynomial.polydict
sage.rings.polynomial.polynomial_compiled
sage.rings.polynomial.polynomial_element
sage.rings.polynomial.polynomial_element_generic
sage.rings.polynomial.polynomial_fateman
sage.rings.polynomial.polynomial_gf2x
sage.rings.polynomial.polynomial_integer_dense_flint
sage.rings.polynomial.polynomial_integer_dense_ntl
sage.rings.polynomial.polynomial_modn_dense_ntl
sage.rings.polynomial.polynomial_number_field
sage.rings.polynomial.polynomial_quotient_ring
sage.rings.polynomial.polynomial_quotient_ring_element
sage.rings.polynomial.polynomial_rational_flint
sage.rings.polynomial.polynomial_real_mpfr_dense
sage.rings.polynomial.polynomial_ring
sage.rings.polynomial.polynomial_ring_constructor
sage.rings.polynomial.polynomial_ring_homomorphism
sage.rings.polynomial.polynomial_singular_interface
sage.rings.polynomial.polynomial_zmod_flint
sage.rings.polynomial.polynomial_zz_pex
sage.rings.polynomial.real_roots
sage.rings.polynomial.refine_root
sage.rings.polynomial.symmetric_ideal
sage.rings.polynomial.symmetric_reduction
sage.rings.polynomial.term_order
sage.rings.polynomial.toy_buchberger
sage.rings.polynomial.toy_d_basis
sage.rings.polynomial.toy_variety
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() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_mpair method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(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 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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polydict.PolyDict method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
monomial_divides() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict method)
monomial_lcm() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict method)
monomial_pairwise_prime() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict method)
monomial_quotient() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict method)
monomial_reduce() (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular method)
(sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict method)
MonomialConstruct (class in sage.rings.polynomial.pbori.pbori)
MonomialFactory (class in sage.rings.polynomial.pbori.pbori)
monomials() (in module sage.rings.monomials)
(sage.rings.invariants.invariant_theory.BinaryQuartic method)
(sage.rings.invariants.invariant_theory.BinaryQuintic method)
(sage.rings.invariants.invariant_theory.QuadraticForm method)
(sage.rings.invariants.invariant_theory.TernaryCubic method)
(sage.rings.invariants.invariant_theory.TernaryQuadratic 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.multi_polynomial_sequence.PolynomialSequence_generic method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial 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_base (class in sage.rings.polynomial.multi_polynomial_ring_base)
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.pbori)
multiples() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
multiples_of() (sage.rings.polynomial.pbori.pbori.BooleSet method)
multiplication_trunc() (sage.rings.polynomial.polynomial_element.Polynomial method)
N
n_forms() (sage.rings.invariants.invariant_theory.SeveralAlgebraicForms method)
n_nodes() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleSet method)
n_variables() (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
n_vars() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
name() (sage.rings.polynomial.term_order.TermOrder method)
navigation() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleSet method)
NCPolynomialIdeal (class in sage.rings.polynomial.multi_polynomial_ideal)
newton_polygon() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method)
(sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_cdv 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)
(sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_cdv method)
next() (sage.rings.fraction_field_FpT.FpTElement method)
(sage.rings.polynomial.infinite_polynomial_ring.GenDictWithBasering method)
next_spoly() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
nf() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
(sage.rings.polynomial.pbori.pbori.ReductionStrategy method)
nf3() (in module sage.rings.polynomial.pbori.pbori)
ngens() (sage.rings.fraction_field.FractionField_generic method)
(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_base.MPolynomialRing_base method)
(sage.rings.polynomial.pbori.pbori.BooleanMonomialMonoid method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing 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)
Node (class in sage.rings.polynomial.hilbert)
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.pbori.GroebnerStrategy method)
nparts() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
nth_root() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial 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)
number_of_real_roots() (sage.rings.polynomial.polynomial_element.Polynomial method)
number_of_roots_in_interval() (sage.rings.polynomial.polynomial_element.Polynomial method)
number_of_terms() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial method)
(sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method)
(sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_element method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method)
numer() (sage.rings.fraction_field_FpT.FpTElement method)
numerator() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.fraction_field_FpT.FpTElement method)
(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.pbori.BooleanPolynomial method)
O
ocean (class in sage.rings.polynomial.real_roots)
Omega_ge() (in module sage.rings.polynomial.omega)
one() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method)
(sage.rings.polynomial.pbori.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.pbori.BooleanPolynomialEntry attribute)
padded_list() (sage.rings.polynomial.polynomial_element.Polynomial method)
parallel_reduce() (in module sage.rings.polynomial.pbori.pbori)
parameter() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
part() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
partition() (in module sage.rings.polynomial.omega)
parts() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
Phi_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics 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)
polar_conic() (sage.rings.invariants.invariant_theory.TernaryCubic 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.invariants.invariant_theory.AlgebraicForm method)
(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_cdv (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_cdvf (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_cdvr (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_dense (class in sage.rings.polynomial.polynomial_element)
Polynomial_generic_dense_cdv (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_dense_cdvf (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_dense_cdvr (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_dense_field (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_dense_inexact (class in sage.rings.polynomial.polynomial_element)
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_cdv (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_sparse_cdvf (class in sage.rings.polynomial.polynomial_element_generic)
Polynomial_generic_sparse_cdvr (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.pbori)
PolynomialFactory (class in sage.rings.polynomial.pbori.pbori)
PolynomialQuotientRing_coercion (class in 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)
PolynomialQuotientRingFactory (class in sage.rings.polynomial.polynomial_quotient_ring)
PolynomialRealDense (class in sage.rings.polynomial.polynomial_real_mpfr_dense)
PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor)
PolynomialRing_cdvf (class in sage.rings.polynomial.polynomial_ring)
PolynomialRing_cdvr (class in sage.rings.polynomial.polynomial_ring)
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_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_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)
Polyring_FpT_coerce (class in sage.rings.fraction_field_FpT)
pow_pd (class in sage.rings.polynomial.polynomial_compiled)
power_trunc() (sage.rings.polynomial.polynomial_element.Polynomial method)
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)
(sage.rings.polynomial.polynomial_element.Polynomial_generic_dense_inexact 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)
pseudo_quo_rem() (sage.rings.polynomial.polynomial_element.Polynomial method)
pseudoinverse() (in module sage.rings.polynomial.real_roots)
Q
quadratic_form() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
QuadraticForm (class in sage.rings.invariants.invariant_theory)
quaternary_biquadratic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
quaternary_quadratic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
quo_rem() (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.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
R_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
radical() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
random_element() (sage.rings.fraction_field.FractionField_generic method)
(sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
(sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
random_set() (in module sage.rings.polynomial.pbori.pbori)
rational_reconstruct() (sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method)
rational_root_bounds() (in module sage.rings.polynomial.real_roots)
real_root_intervals() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
real_roots() (in module sage.rings.polynomial.real_roots)
(sage.rings.polynomial.polynomial_element.Polynomial method)
reciprocal_transform() (sage.rings.polynomial.polynomial_element.Polynomial method)
recursively_insert() (in module sage.rings.polynomial.pbori.pbori)
red_tail() (in module sage.rings.polynomial.pbori.pbori)
reduce() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.fraction_field_element.FractionFieldElement_1poly_field method)
(sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method)
(sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method)
(sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method)
reduced() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
(sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method)
reduced_form() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
reduced_normal_form() (sage.rings.polynomial.pbori.pbori.ReductionStrategy method)
reducible_by() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
reduction_strategy (sage.rings.polynomial.pbori.pbori.GroebnerStrategy attribute)
ReductionStrategy (class in sage.rings.polynomial.pbori.pbori)
refine() (sage.rings.polynomial.real_roots.island method)
refine_all() (sage.rings.polynomial.real_roots.ocean method)
refine_recurse() (sage.rings.polynomial.real_roots.island method)
refine_root() (in module sage.rings.polynomial.refine_root)
region() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method)
(sage.rings.polynomial.real_roots.rr_gap method)
region_width() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method)
relative_bounds() (in module sage.rings.polynomial.real_roots)
remove_var() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
repr_long() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
require_field (in module sage.rings.polynomial.multi_polynomial_ideal)
RequireField (class in sage.rings.polynomial.multi_polynomial_ideal)
res() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method)
rescale() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method)
rescale_vars() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method)
reset() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method)
reset_root_width() (sage.rings.polynomial.real_roots.island method)
(sage.rings.polynomial.real_roots.ocean method)
residue() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method)
residue_class_degree() (sage.rings.polynomial.ideal.Ideal_1poly_field method)
residue_field() (sage.rings.polynomial.ideal.Ideal_1poly_field method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_n method)
resultant() (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
(sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method)
(sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method)
(sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method)
retract() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
reverse() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method)
(sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_ZZ method)
(sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
(sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method)
reverse_intvec() (in module sage.rings.polynomial.real_roots)
reversed() (sage.rings.polynomial.polydict.ETuple method)
revert_series() (sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method)
(sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method)
(sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method)
rich_compare() (sage.rings.polynomial.polydict.PolyDict method)
ring() (sage.rings.fraction_field.FractionField_generic method)
(sage.rings.invariants.invariant_theory.FormsBase method)
(sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method)
(sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method)
(sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleSet method)
ring_of_integers() (sage.rings.fraction_field.FractionField_1poly_field method)
root_bounds() (in module sage.rings.polynomial.real_roots)
root_field() (sage.rings.polynomial.padics.polynomial_padic.Polynomial_padic method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
roots() (sage.rings.polynomial.polynomial_element.Polynomial method)
(sage.rings.polynomial.real_roots.ocean method)
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_invariant() (sage.rings.invariants.invariant_theory.TernaryCubic method)
S_units() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
sage.rings.fraction_field
module
sage.rings.fraction_field_element
module
sage.rings.fraction_field_FpT
module
sage.rings.invariants.invariant_theory
module
sage.rings.invariants.reconstruction
module
sage.rings.monomials
module
sage.rings.polynomial.complex_roots
module
sage.rings.polynomial.convolution
module
sage.rings.polynomial.cyclotomic
module
sage.rings.polynomial.flatten
module
sage.rings.polynomial.hilbert
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_base
module
sage.rings.polynomial.multi_polynomial_sequence
module
sage.rings.polynomial.omega
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.pbori
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.refine_root
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)
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)
scaled_coeffs() (sage.rings.invariants.invariant_theory.BinaryQuartic method)
(sage.rings.invariants.invariant_theory.BinaryQuintic method)
(sage.rings.invariants.invariant_theory.QuadraticForm method)
(sage.rings.invariants.invariant_theory.TernaryCubic method)
(sage.rings.invariants.invariant_theory.TernaryQuadratic method)
second() (sage.rings.invariants.invariant_theory.TwoAlgebraicForms method)
section() (sage.rings.fraction_field.FractionFieldEmbedding method)
(sage.rings.fraction_field_FpT.Fp_FpT_coerce method)
(sage.rings.fraction_field_FpT.Polyring_FpT_coerce method)
(sage.rings.fraction_field_FpT.ZZ_FpT_coerce method)
(sage.rings.polynomial.flatten.FlatteningMorphism method)
(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.pbori.GroebnerStrategy method)
selmer_generators() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
selmer_group() (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method)
set() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleSet method)
set_karatsuba_threshold() (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
set_random_seed() (in module sage.rings.polynomial.pbori.pbori)
setgens() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method)
SeveralAlgebraicForms (class in sage.rings.invariants.invariant_theory)
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_template method)
(sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX 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.pbori.BooleSet method)
slimgb_libsingular() (in module sage.rings.polynomial.multi_polynomial_ideal_libsingular)
slope_factorization() (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_cdv method)
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.pbori.GroebnerStrategy method)
solve() (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method)
some_elements() (sage.rings.fraction_field.FractionField_generic method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
some_spolys_in_next_degree() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
sortkey (sage.rings.polynomial.term_order.TermOrder attribute)
sortkey_block() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_deglex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_degneglex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_degrevlex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_invlex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_lex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_matrix() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_negdeglex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_negdegrevlex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_neglex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_negwdeglex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_negwdegrevlex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_wdeglex() (sage.rings.polynomial.term_order.TermOrder method)
sortkey_wdegrevlex() (sage.rings.polynomial.term_order.TermOrder method)
sparse_iter() (sage.rings.polynomial.polydict.ETuple method)
specialization() (sage.rings.fraction_field_element.FractionFieldElement method)
(sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
SpecializationMorphism (class in sage.rings.polynomial.flatten)
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.pbori.BooleanPolynomial method)
sqr_pd (class in sage.rings.polynomial.polynomial_compiled)
sqrt() (sage.rings.fraction_field_FpT.FpTElement method)
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.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleSet 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)
subresultants() (sage.rings.polynomial.multi_polynomial.MPolynomial method)
(sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method)
(sage.rings.polynomial.polynomial_element.Polynomial method)
subs() (sage.rings.fraction_field_FpT.FpTElement method)
(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.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.pbori.BooleSet method)
subset1() (sage.rings.polynomial.pbori.pbori.BooleSet method)
substitute() (sage.rings.polynomial.polynomial_element.Polynomial method)
substitute_variables() (in module sage.rings.polynomial.pbori.pbori)
suggest_plugin_variable() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
support() (sage.rings.fraction_field_element.FractionFieldElement_1poly_field 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)
symmetric_power() (sage.rings.polynomial.polynomial_element.Polynomial 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.pbori.GroebnerStrategy method)
syzygy() (sage.rings.invariants.invariant_theory.TernaryCubic method)
(sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
(sage.rings.invariants.invariant_theory.TwoTernaryQuadratics 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
T_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
(sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
T_invariant() (sage.rings.invariants.invariant_theory.TernaryCubic method)
T_prime_covariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
tail() (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial_sparse method)
tailreduce() (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method)
tau_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic 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_lmult() (sage.rings.polynomial.polydict.PolyDict method)
term_order() (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
term_rmult() (sage.rings.polynomial.polydict.PolyDict method)
terminal_one() (sage.rings.polynomial.pbori.pbori.CCuddNavigator method)
TermOrder (class in sage.rings.polynomial.term_order)
TermOrder_from_pb_order() (in module sage.rings.polynomial.pbori.pbori)
termorder_from_singular() (in module sage.rings.polynomial.term_order)
terms() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
ternary_biquadratic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
ternary_cubic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
ternary_quadratic() (sage.rings.invariants.invariant_theory.InvariantTheoryFactory method)
TernaryCubic (class in sage.rings.invariants.invariant_theory)
TernaryQuadratic (class in sage.rings.invariants.invariant_theory)
then_branch() (sage.rings.polynomial.pbori.pbori.CCuddNavigator method)
theta_covariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method)
Theta_covariant() (sage.rings.invariants.invariant_theory.TernaryCubic method)
Theta_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
(sage.rings.invariants.invariant_theory.TwoTernaryQuadratics method)
Theta_prime_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method)
(sage.rings.invariants.invariant_theory.TwoTernaryQuadratics 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.pbori)
top_sugar() (sage.rings.polynomial.pbori.pbori.GroebnerStrategy method)
toric_coordinate_change() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method)
toric_substitute() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair 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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.polydict.PolyDict method)
trace() (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method)
trace_polynomial() (sage.rings.polynomial.polynomial_element.Polynomial method)
transformed() (sage.rings.invariants.invariant_theory.AlgebraicForm method)
transformed_basis() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method)
transvectant() (in module sage.rings.invariants.invariant_theory)
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_element_generic.Polynomial_generic_sparse 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)
TwoAlgebraicForms (class in sage.rings.invariants.invariant_theory)
TwoQuaternaryQuadratics (class in sage.rings.invariants.invariant_theory)
twostd() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method)
TwoTernaryQuadratics (class in sage.rings.invariants.invariant_theory)
U
unary_pd (class in sage.rings.polynomial.polynomial_compiled)
UnflatteningMorphism (class in sage.rings.polynomial.flatten)
union() (sage.rings.polynomial.pbori.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.pbori.BooleanPolynomial method)
univariate_ring() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base 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.pbori)
unpickle_BooleanPolynomial0() (in module sage.rings.polynomial.pbori.pbori)
unpickle_BooleanPolynomialRing() (in module sage.rings.polynomial.pbori.pbori)
unpickle_FpT_element() (in module sage.rings.fraction_field_FpT)
unpickle_MPolynomial_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular)
unpickle_MPolynomialRing_generic() (in module sage.rings.polynomial.multi_polynomial_ring_base)
unpickle_MPolynomialRing_generic_v1() (in module sage.rings.polynomial.multi_polynomial_ring_base)
unpickle_MPolynomialRing_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular)
unpickle_PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor)
unweighted_degree() (sage.rings.polynomial.polydict.ETuple method)
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.fraction_field_element.FractionFieldElement method)
(sage.rings.fraction_field_FpT.FpTElement method)
(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.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.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method)
variable_has_value() (sage.rings.polynomial.pbori.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.laurent_polynomial_ring.LaurentPolynomialRing_generic method)
(sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_general method)
VariableBlock (class in sage.rings.polynomial.pbori.pbori)
VariableConstruct (class in sage.rings.polynomial.pbori.pbori)
VariableFactory (class in sage.rings.polynomial.pbori.pbori)
variables() (sage.rings.invariants.invariant_theory.FormsBase method)
(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.pbori.BooleanMonomial method)
(sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
(sage.rings.polynomial.pbori.pbori.BooleConstant 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.pbori.BooleanPolynomialIdeal method)
varname_key() (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_sparse method)
vars() (sage.rings.polynomial.pbori.pbori.BooleSet method)
vars_as_monomial() (sage.rings.polynomial.pbori.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_polynomials() (sage.rings.polynomial.polynomial_ring.PolynomialRing_integral_domain 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_base.MPolynomialRing_base method)
(sage.rings.polynomial.polynomial_ring.PolynomialRing_commutative method)
wordsize_rational() (in module sage.rings.polynomial.real_roots)
X
xgcd() (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.pbori.BooleanPolynomialRing method)
zeros() (in module sage.rings.polynomial.pbori.pbori)
zeros_in() (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method)
ZZ_FpT_coerce (class in sage.rings.fraction_field_FpT)
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