Index

A

add_constraint() (sage.libs.ppl.MIP_Problem method) (sage.libs.ppl.Polyhedron method) add_constraints() (sage.libs.ppl.MIP_Problem method) (sage.libs.ppl.Polyhedron method) add_generator() (sage.libs.ppl.Polyhedron method) add_generators() (sage.libs.ppl.Polyhedron method) add_scalar() (sage.libs.eclib.mat.Matrix method) add_space_dimensions_and_embed() (sage.libs.ppl.MIP_Problem method) (sage.libs.ppl.Polyhedron method) add_space_dimensions_and_project() (sage.libs.ppl.Polyhedron method) add_to_integer_space_dimensions() (sage.libs.ppl.MIP_Problem method) affine_dimension() (sage.libs.ppl.Polyhedron method) ainvs() (sage.libs.eclib.interface.mwrank_EllipticCurve method)

all_homogeneous_terms_are_zero() (sage.libs.ppl.Linear_Expression method) all_singular_poly_wrapper() (in module sage.libs.singular.function) all_vectors() (in module sage.libs.singular.function) ascii_dump() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Constraint_System method) (sage.libs.ppl.Generator method) (sage.libs.ppl.Generator_System method) (sage.libs.ppl.Linear_Expression method) (sage.libs.ppl.Poly_Con_Relation method) (sage.libs.ppl.Poly_Gen_Relation method) (sage.libs.ppl.Polyhedron method) (sage.libs.ppl.Variables_Set method) atomp() (sage.libs.ecl.EclObject method)

B

BaseCallHandler (class in sage.libs.singular.function) bdg_symmetrica() (in module sage.libs.symmetrica.symmetrica) bell_number() (in module sage.libs.flint.arith)

bernoulli_number() (in module sage.libs.flint.arith) bitcount() (in module sage.libs.mpmath.utils) bounds_from_above() (sage.libs.ppl.Polyhedron method) bounds_from_below() (sage.libs.ppl.Polyhedron method)

C

C_Polyhedron (class in sage.libs.ppl) caar() (sage.libs.ecl.EclObject method) cadr() (sage.libs.ecl.EclObject method) call() (in module sage.libs.mpmath.utils) car() (sage.libs.ecl.EclObject method) cdar() (sage.libs.ecl.EclObject method) cddr() (sage.libs.ecl.EclObject method) cdr() (sage.libs.ecl.EclObject method) certain() (sage.libs.eclib.interface.mwrank_EllipticCurve method) characteristic() (sage.libs.singular.function.RingWrap method) (sage.rings.pari_ring.PariRing method) characterp() (sage.libs.ecl.EclObject method) charpoly() (sage.libs.eclib.mat.Matrix method) (sage.libs.linbox.linbox.Linbox_integer_dense method) chartafel_symmetrica() (in module sage.libs.symmetrica.symmetrica) charvalue_symmetrica() (in module sage.libs.symmetrica.symmetrica) clear() (sage.libs.ppl.Constraint_System method) (sage.libs.ppl.Generator_System method) (sage.libs.ppl.MIP_Problem method) clear_signals() (in module sage.libs.readline) closure_point() (in module sage.libs.ppl) (sage.libs.ppl.Generator static method) coefficient() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Generator method) (sage.libs.ppl.Linear_Expression method) coefficients() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Generator method) (sage.libs.ppl.Linear_Expression method)

collect() (sage.libs.gap.libgap.Gap method) command() (in module sage.libs.gap.util) compute_elmsym_with_alphabet_symmetrica() (in module sage.libs.symmetrica.symmetrica) compute_homsym_with_alphabet_symmetrica() (in module sage.libs.symmetrica.symmetrica) compute_monomial_with_alphabet_symmetrica() (in module sage.libs.symmetrica.symmetrica) compute_powsym_with_alphabet_symmetrica() (in module sage.libs.symmetrica.symmetrica) compute_rank() (sage.libs.lcalc.lcalc_Lfunction.Lfunction method) compute_schur_with_alphabet_det_symmetrica() (in module sage.libs.symmetrica.symmetrica) compute_schur_with_alphabet_symmetrica() (in module sage.libs.symmetrica.symmetrica) concatenate_assign() (sage.libs.ppl.Polyhedron method) conductor() (sage.libs.eclib.interface.mwrank_EllipticCurve method) cons() (sage.libs.ecl.EclObject method) consp() (sage.libs.ecl.EclObject method) constrains() (sage.libs.ppl.Polyhedron method) Constraint (class in sage.libs.ppl) Constraint_System (class in sage.libs.ppl) Constraint_System_iterator (class in sage.libs.ppl) constraints() (sage.libs.ppl.Polyhedron method) contains() (sage.libs.ppl.Polyhedron method) contains_integer_point() (sage.libs.ppl.Polyhedron method) Converter (class in sage.libs.singular.function) coprod() (in module sage.libs.lrcalc.lrcalc) copy_text() (in module sage.libs.readline) count_GAP_objects() (sage.libs.gap.libgap.Gap method) CPS_height_bound() (sage.libs.eclib.interface.mwrank_EllipticCurve method) CremonaModularSymbols() (in module sage.libs.eclib.constructor) currRing_wrapper() (in module sage.libs.singular.ring)

D

dedekind_sum() (in module sage.libs.flint.arith) degree() (sage.libs.flint.fmpz_poly.Fmpz_poly method) derivative() (sage.libs.flint.fmpz_poly.Fmpz_poly method) det() (sage.libs.linbox.linbox.Linbox_integer_dense method) difference_assign() (sage.libs.ppl.Polyhedron method) dimension() (sage.libs.eclib.homspace.ModularSymbols method)

dimension_schur_symmetrica() (in module sage.libs.symmetrica.symmetrica) dimension_symmetrization_symmetrica() (in module sage.libs.symmetrica.symmetrica) div_rem() (sage.libs.flint.fmpz_poly.Fmpz_poly method) divdiff_perm_schubert_symmetrica() (in module sage.libs.symmetrica.symmetrica) divdiff_schubert_symmetrica() (in module sage.libs.symmetrica.symmetrica) divisor() (sage.libs.ppl.Generator method) drop_some_non_integer_points() (sage.libs.ppl.Polyhedron method)

E

ecl_eval() (in module sage.libs.ecl) EclListIterator (class in sage.libs.ecl) EclObject (class in sage.libs.ecl) ecmfactor() (in module sage.libs.libecm) ECModularSymbol (class in sage.libs.eclib.newforms) Element (sage.libs.gap.libgap.Gap attribute) (sage.rings.pari_ring.PariRing attribute) empty() (sage.libs.ppl.Constraint_System method) (sage.libs.ppl.Generator_System method)

end() (in module sage.libs.symmetrica.symmetrica) equation() (in module sage.libs.ppl) error_enter_libgap_block_twice() (in module sage.libs.gap.util) error_exit_libgap_block_without_enter() (in module sage.libs.gap.util) euler_number() (in module sage.libs.flint.arith) eval() (sage.libs.ecl.EclObject method) (sage.libs.gap.libgap.Gap method) evaluate_objective_function() (sage.libs.ppl.MIP_Problem method)

F

find_zeros() (sage.libs.lcalc.lcalc_Lfunction.Lfunction method) find_zeros_via_N() (sage.libs.lcalc.lcalc_Lfunction.Lfunction method) fixnump() (sage.libs.ecl.EclObject method) Fmpz_poly (class in sage.libs.flint.fmpz_poly)

forced_update_display() (in module sage.libs.readline) free_flint_stack() (in module sage.libs.flint.flint) from_man_exp() (in module sage.libs.mpmath.utils) function_factory() (sage.libs.gap.libgap.Gap method)

G

Gap (class in sage.libs.gap.libgap) gap_root() (in module sage.libs.gap.util) GapElement (class in sage.libs.gap.element) GapElement_Boolean (class in sage.libs.gap.element) GapElement_Cyclotomic (class in sage.libs.gap.element) GapElement_FiniteField (class in sage.libs.gap.element) GapElement_Function (class in sage.libs.gap.element) GapElement_Integer (class in sage.libs.gap.element) GapElement_IntegerMod (class in sage.libs.gap.element) GapElement_List (class in sage.libs.gap.element) GapElement_MethodProxy (class in sage.libs.gap.element) GapElement_Permutation (class in sage.libs.gap.element) GapElement_Rational (class in sage.libs.gap.element) GapElement_Record (class in sage.libs.gap.element) GapElement_RecordIterator (class in sage.libs.gap.element) GapElement_Ring (class in sage.libs.gap.element) GapElement_String (class in sage.libs.gap.element)

gen_to_sage() (in module sage.libs.pari.convert_sage) Generator (class in sage.libs.ppl) Generator_System (class in sage.libs.ppl) Generator_System_iterator (class in sage.libs.ppl) generators() (sage.libs.ppl.Polyhedron method) gens() (sage.libs.eclib.interface.mwrank_EllipticCurve method) get_end() (in module sage.libs.readline) get_global() (sage.libs.gap.libgap.Gap method) get_owned_objects() (in module sage.libs.gap.util) get_point() (in module sage.libs.readline) get_precision() (in module sage.libs.eclib.interface) (in module sage.libs.eclib.mwrank) global_context() (sage.libs.gap.libgap.Gap method) GlobalVariableContext (class in sage.libs.gap.context_managers) GroebnerStrategy (class in sage.libs.singular.groebner_strategy) gupta_nm_symmetrica() (in module sage.libs.symmetrica.symmetrica) gupta_tafel_symmetrica() (in module sage.libs.symmetrica.symmetrica)

H

hall_littlewood_symmetrica() (in module sage.libs.symmetrica.symmetrica) hardy_z_function() (sage.libs.lcalc.lcalc_Lfunction.Lfunction method) harmonic_number() (in module sage.libs.flint.arith)

has_equalities() (sage.libs.ppl.Constraint_System method) has_strict_inequalities() (sage.libs.ppl.Constraint_System method) hecke_matrix() (sage.libs.eclib.homspace.ModularSymbols method)

I

id() (sage.libs.ppl.Variable method) ideal() (sage.libs.singular.groebner_strategy.GroebnerStrategy method) (sage.libs.singular.groebner_strategy.NCGroebnerStrategy method) implies() (sage.libs.ppl.Poly_Con_Relation method) (sage.libs.ppl.Poly_Gen_Relation method) inequality() (in module sage.libs.ppl) inhomogeneous_term() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Linear_Expression method) init_ecl() (in module sage.libs.ecl) initialize() (in module sage.libs.readline) initprimes() (in module sage.libs.eclib.mwrank) insert() (sage.libs.ppl.Constraint_System method) (sage.libs.ppl.Generator_System method) (sage.libs.ppl.Variables_Set method) interleaved_output (class in sage.libs.readline) intersection_assign() (sage.libs.ppl.Polyhedron method) is_bool() (sage.libs.gap.element.GapElement method) is_bounded() (sage.libs.ppl.Polyhedron method) is_C_int() (sage.libs.gap.element.GapElement_Integer method) is_closure_point() (sage.libs.ppl.Generator method) is_commutative() (sage.libs.singular.function.RingWrap method) is_cuspidal() (sage.libs.eclib.homspace.ModularSymbols method) is_discrete() (sage.libs.ppl.Polyhedron method) is_disjoint() (sage.libs.ppl.Poly_Con_Relation static method) is_disjoint_from() (sage.libs.ppl.Polyhedron method) is_empty() (sage.libs.ppl.Polyhedron method)

is_equality() (sage.libs.ppl.Constraint method) is_equivalent_to() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Generator method) is_field() (sage.rings.pari_ring.PariRing method) is_function() (sage.libs.gap.element.GapElement method) is_included() (sage.libs.ppl.Poly_Con_Relation static method) is_inconsistent() (sage.libs.ppl.Constraint method) is_inequality() (sage.libs.ppl.Constraint method) is_line() (sage.libs.ppl.Generator method) is_line_or_ray() (sage.libs.ppl.Generator method) is_list() (sage.libs.gap.element.GapElement method) is_nonstrict_inequality() (sage.libs.ppl.Constraint method) is_permutation() (sage.libs.gap.element.GapElement method) is_point() (sage.libs.ppl.Generator method) is_ray() (sage.libs.ppl.Generator method) is_record() (sage.libs.gap.element.GapElement method) is_sage_wrapper_for_singular_ring() (in module sage.libs.singular.function) is_satisfiable() (sage.libs.ppl.MIP_Problem method) is_singular_poly_wrapper() (in module sage.libs.singular.function) is_strict_inequality() (sage.libs.ppl.Constraint method) is_string() (sage.libs.gap.element.GapElement method) is_tautological() (sage.libs.ppl.Constraint method) is_topologically_closed() (sage.libs.ppl.Polyhedron method) is_universe() (sage.libs.ppl.Polyhedron method) is_zero() (sage.libs.ppl.Linear_Expression method) isogeny_class() (sage.libs.eclib.interface.mwrank_EllipticCurve method) isqrt() (in module sage.libs.mpmath.utils)

K

KernelCallHandler (class in sage.libs.singular.function) kostka_number_symmetrica() (in module sage.libs.symmetrica.symmetrica)

kostka_tab_symmetrica() (in module sage.libs.symmetrica.symmetrica) kostka_tafel_symmetrica() (in module sage.libs.symmetrica.symmetrica) kranztafel_symmetrica() (in module sage.libs.symmetrica.symmetrica)

L

left_shift() (sage.libs.flint.fmpz_poly.Fmpz_poly method) level() (sage.libs.eclib.homspace.ModularSymbols method) Lfunction (class in sage.libs.lcalc.lcalc_Lfunction) Lfunction_C (class in sage.libs.lcalc.lcalc_Lfunction) Lfunction_D (class in sage.libs.lcalc.lcalc_Lfunction) Lfunction_from_character() (in module sage.libs.lcalc.lcalc_Lfunction) Lfunction_from_elliptic_curve() (in module sage.libs.lcalc.lcalc_Lfunction) Lfunction_I (class in sage.libs.lcalc.lcalc_Lfunction) Lfunction_Zeta (class in sage.libs.lcalc.lcalc_Lfunction) lib() (in module sage.libs.singular.function) LibraryCallHandler (class in sage.libs.singular.function) LibSingularOptions (class in sage.libs.singular.option) LibSingularOptions_abstract (class in sage.libs.singular.option) LibSingularOptionsContext (class in sage.libs.singular.option)

LibSingularVerboseOptions (class in sage.libs.singular.option) lift() (sage.libs.gap.element.GapElement_FiniteField method) (sage.libs.gap.element.GapElement_IntegerMod method) Linbox_integer_dense (class in sage.libs.linbox.linbox) Linbox_modn_sparse (class in sage.libs.linbox.linbox) line() (in module sage.libs.ppl) (sage.libs.ppl.Generator static method) Linear_Expression (class in sage.libs.ppl) list() (sage.libs.flint.fmpz_poly.Fmpz_poly method) list_of_functions() (in module sage.libs.singular.function) listp() (sage.libs.ecl.EclObject method) load() (sage.libs.singular.option.LibSingularOptions_abstract method) lrcoef() (in module sage.libs.lrcalc.lrcalc) lrcoef_unsafe() (in module sage.libs.lrcalc.lrcalc) lrskew() (in module sage.libs.lrcalc.lrcalc)

M

Matrix (class in sage.libs.eclib.mat) matrix() (sage.libs.gap.element.GapElement_List method) MatrixFactory (class in sage.libs.eclib.mat) max_space_dimension() (sage.libs.ppl.Polyhedron method) maximize() (sage.libs.ppl.Polyhedron method) mem() (sage.libs.gap.libgap.Gap method) memory_usage() (in module sage.libs.gap.util) minimize() (sage.libs.ppl.Polyhedron method) minimized_constraints() (sage.libs.ppl.Polyhedron method) minimized_generators() (sage.libs.ppl.Polyhedron method) minpoly() (sage.libs.linbox.linbox.Linbox_integer_dense method)

MIP_Problem (class in sage.libs.ppl) ModularSymbols (class in sage.libs.eclib.homspace) mpmath_to_sage() (in module sage.libs.mpmath.utils) mult() (in module sage.libs.lrcalc.lrcalc) mult_monomial_monomial_symmetrica() (in module sage.libs.symmetrica.symmetrica) mult_schubert() (in module sage.libs.lrcalc.lrcalc) mult_schubert_schubert_symmetrica() (in module sage.libs.symmetrica.symmetrica) mult_schubert_variable_symmetrica() (in module sage.libs.symmetrica.symmetrica) mult_schur_schur_symmetrica() (in module sage.libs.symmetrica.symmetrica) mwrank_EllipticCurve (class in sage.libs.eclib.interface) mwrank_MordellWeil (class in sage.libs.eclib.interface)

N

NCGroebnerStrategy (class in sage.libs.singular.groebner_strategy) ncols() (sage.libs.eclib.mat.Matrix method) ndg_symmetrica() (in module sage.libs.symmetrica.symmetrica) newtrans_symmetrica() (in module sage.libs.symmetrica.symmetrica) next() (sage.libs.ecl.EclListIterator method) (sage.libs.gap.element.GapElement_RecordIterator method) (sage.libs.ppl.Constraint_System_iterator method) (sage.libs.ppl.Generator_System_iterator method) ngens() (sage.libs.singular.function.RingWrap method) NNC_Polyhedron (class in sage.libs.ppl)

normal_form() (sage.libs.singular.groebner_strategy.GroebnerStrategy method) (sage.libs.singular.groebner_strategy.NCGroebnerStrategy method) normalize() (in module sage.libs.mpmath.utils) nothing() (sage.libs.ppl.Poly_Con_Relation static method) (sage.libs.ppl.Poly_Gen_Relation static method) npars() (sage.libs.singular.function.RingWrap method) nrows() (sage.libs.eclib.mat.Matrix method) nullp() (sage.libs.ecl.EclObject method) number_of_cusps() (sage.libs.eclib.homspace.ModularSymbols method) number_of_partitions() (in module sage.libs.flint.arith)

O

objective_function() (sage.libs.ppl.MIP_Problem method) ObjWrapper (class in sage.libs.gap.util) odd_to_strict_part_symmetrica() (in module sage.libs.symmetrica.symmetrica) odg_symmetrica() (in module sage.libs.symmetrica.symmetrica) OK() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Constraint_System method) (sage.libs.ppl.Generator method) (sage.libs.ppl.Generator_System method) (sage.libs.ppl.Linear_Expression method) (sage.libs.ppl.MIP_Problem method) (sage.libs.ppl.Poly_Con_Relation method) (sage.libs.ppl.Poly_Gen_Relation method) (sage.libs.ppl.Polyhedron method) (sage.libs.ppl.Variable method) (sage.libs.ppl.Variables_Set method)

one() (sage.libs.gap.libgap.Gap method) opt (sage.libs.singular.option.LibSingularOptionsContext attribute) optimal_value() (sage.libs.ppl.MIP_Problem method) optimization_mode() (sage.libs.ppl.MIP_Problem method) optimizing_point() (sage.libs.ppl.MIP_Problem method) ordering_string() (sage.libs.singular.function.RingWrap method) outerproduct_schur_symmetrica() (in module sage.libs.symmetrica.symmetrica)

P

par_names() (sage.libs.singular.function.RingWrap method) Pari (class in sage.rings.pari_ring) PariRing (class in sage.rings.pari_ring) part_part_skewschur_symmetrica() (in module sage.libs.symmetrica.symmetrica) plethysm_symmetrica() (in module sage.libs.symmetrica.symmetrica) point() (in module sage.libs.ppl) (sage.libs.ppl.Generator static method) points() (sage.libs.eclib.interface.mwrank_MordellWeil method) poison_currRing() (in module sage.libs.singular.ring) Poly_Con_Relation (class in sage.libs.ppl) poly_difference_assign() (sage.libs.ppl.Polyhedron method)

Poly_Gen_Relation (class in sage.libs.ppl) poly_hull_assign() (sage.libs.ppl.Polyhedron method) Polyhedron (class in sage.libs.ppl) pow_truncate() (sage.libs.flint.fmpz_poly.Fmpz_poly method) print_currRing() (in module sage.libs.singular.ring) print_objects() (in module sage.libs.ecl) print_status() (in module sage.libs.readline) process() (sage.libs.eclib.interface.mwrank_MordellWeil method) pseudo_div() (sage.libs.flint.fmpz_poly.Fmpz_poly method) pseudo_div_rem() (sage.libs.flint.fmpz_poly.Fmpz_poly method) python() (sage.libs.ecl.EclObject method)

Q

q_core_symmetrica() (in module sage.libs.symmetrica.symmetrica)

R

random_element() (sage.rings.pari_ring.PariRing method) random_partition_symmetrica() (in module sage.libs.symmetrica.symmetrica) rank() (sage.libs.eclib.interface.mwrank_EllipticCurve method) (sage.libs.eclib.interface.mwrank_MordellWeil method) rank_bound() (sage.libs.eclib.interface.mwrank_EllipticCurve method) ratpoints() (in module sage.libs.ratpoints) ray() (in module sage.libs.ppl) (sage.libs.ppl.Generator static method) record_name_to_index() (sage.libs.gap.element.GapElement_Record method) regulator() (sage.libs.eclib.interface.mwrank_EllipticCurve method) (sage.libs.eclib.interface.mwrank_MordellWeil method) relation_with() (sage.libs.ppl.Polyhedron method) remove_higher_space_dimensions() (sage.libs.ppl.Polyhedron method) replace_line() (in module sage.libs.readline) reset_default() (sage.libs.singular.option.LibSingularOptions method) (sage.libs.singular.option.LibSingularVerboseOptions method)

Resolution (class in sage.libs.singular.function) right_shift() (sage.libs.flint.fmpz_poly.Fmpz_poly method) ring() (sage.libs.singular.function.Converter method) (sage.libs.singular.groebner_strategy.GroebnerStrategy method) (sage.libs.singular.groebner_strategy.NCGroebnerStrategy method) ring_cyclotomic() (sage.libs.gap.element.GapElement_Ring method) ring_finite_field() (sage.libs.gap.element.GapElement_Ring method) ring_integer() (sage.libs.gap.element.GapElement_Ring method) ring_integer_mod() (sage.libs.gap.element.GapElement_Ring method) ring_rational() (sage.libs.gap.element.GapElement_Ring method) ring_wrapper_Py (class in sage.libs.singular.ring) RingWrap (class in sage.libs.singular.function) rplaca() (sage.libs.ecl.EclObject method) rplacd() (sage.libs.ecl.EclObject method)

S

sage() (sage.libs.gap.element.GapElement method) (sage.libs.gap.element.GapElement_Boolean method) (sage.libs.gap.element.GapElement_Cyclotomic method) (sage.libs.gap.element.GapElement_FiniteField method) (sage.libs.gap.element.GapElement_Integer method) (sage.libs.gap.element.GapElement_IntegerMod method) (sage.libs.gap.element.GapElement_List method) (sage.libs.gap.element.GapElement_Permutation method) (sage.libs.gap.element.GapElement_Rational method) (sage.libs.gap.element.GapElement_Record method) (sage.libs.gap.element.GapElement_Ring method) (sage.libs.gap.element.GapElement_String method) sage.gsl.gsl_array (module) sage.libs.ecl (module) sage.libs.eclib.constructor (module) sage.libs.eclib.homspace (module) sage.libs.eclib.interface (module) sage.libs.eclib.mat (module) sage.libs.eclib.mwrank (module) sage.libs.eclib.newforms (module) sage.libs.flint.arith (module) sage.libs.flint.flint (module) sage.libs.flint.fmpz_poly (module) sage.libs.gap.context_managers (module) sage.libs.gap.element (module) sage.libs.gap.gap_functions (module) sage.libs.gap.libgap (module) sage.libs.gap.saved_workspace (module) sage.libs.gap.test (module) sage.libs.gap.test_long (module) sage.libs.gap.util (module) sage.libs.lcalc.lcalc_Lfunction (module) sage.libs.libecm (module) sage.libs.linbox.linbox (module) sage.libs.lrcalc.lrcalc (module) sage.libs.mpmath.utils (module) sage.libs.ntl.all (module) sage.libs.pari (module) sage.libs.pari.convert_sage (module) sage.libs.ppl (module) sage.libs.ratpoints (module) sage.libs.readline (module) sage.libs.singular.function (module) sage.libs.singular.function_factory (module) sage.libs.singular.groebner_strategy (module) sage.libs.singular.option (module) sage.libs.singular.polynomial (module) sage.libs.singular.ring (module) sage.libs.singular.singular (module) sage.libs.symmetrica.symmetrica (module)

sage.rings.pari_ring (module) sage_matrix_over_ZZ() (sage.libs.eclib.mat.Matrix method) sage_to_mpmath() (in module sage.libs.mpmath.utils) saturate() (sage.libs.eclib.interface.mwrank_EllipticCurve method) (sage.libs.eclib.interface.mwrank_MordellWeil method) saturates() (sage.libs.ppl.Poly_Con_Relation static method) save() (sage.libs.singular.option.LibSingularOptions_abstract method) scalarproduct_schubert_symmetrica() (in module sage.libs.symmetrica.symmetrica) scalarproduct_schur_symmetrica() (in module sage.libs.symmetrica.symmetrica) schur_schur_plet_symmetrica() (in module sage.libs.symmetrica.symmetrica) sdg_symmetrica() (in module sage.libs.symmetrica.symmetrica) search() (sage.libs.eclib.interface.mwrank_MordellWeil method) selmer_rank() (sage.libs.eclib.interface.mwrank_EllipticCurve method) set_global() (sage.libs.gap.libgap.Gap method) set_objective_function() (sage.libs.ppl.MIP_Problem method) set_optimization_mode() (sage.libs.ppl.MIP_Problem method) set_point() (in module sage.libs.readline) set_precision() (in module sage.libs.eclib.interface) (in module sage.libs.eclib.mwrank) set_signals() (in module sage.libs.readline) set_verbose() (sage.libs.eclib.interface.mwrank_EllipticCurve method) show() (sage.libs.gap.libgap.Gap method) shutdown_ecl() (in module sage.libs.ecl) sign() (sage.libs.eclib.homspace.ModularSymbols method) silverman_bound() (sage.libs.eclib.interface.mwrank_EllipticCurve method) singular_function() (in module sage.libs.singular.function) SingularFunction (class in sage.libs.singular.function) SingularFunctionFactory (class in sage.libs.singular.function_factory) SingularKernelFunction (class in sage.libs.singular.function) SingularLibraryFunction (class in sage.libs.singular.function) skew() (in module sage.libs.lrcalc.lrcalc) smithform() (sage.libs.linbox.linbox.Linbox_integer_dense method) solve() (sage.libs.ppl.MIP_Problem method) space_dimension() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Constraint_System method) (sage.libs.ppl.Generator method) (sage.libs.ppl.Generator_System method) (sage.libs.ppl.Linear_Expression method) (sage.libs.ppl.MIP_Problem method) (sage.libs.ppl.Polyhedron method) (sage.libs.ppl.Variable method) (sage.libs.ppl.Variables_Set method) specht_dg_symmetrica() (in module sage.libs.symmetrica.symmetrica) start() (in module sage.libs.symmetrica.symmetrica) str() (sage.libs.eclib.mat.Matrix method) strict_inequality() (in module sage.libs.ppl) strict_to_odd_part_symmetrica() (in module sage.libs.symmetrica.symmetrica) strictly_contains() (sage.libs.ppl.Polyhedron method) strictly_intersects() (sage.libs.ppl.Poly_Con_Relation static method) subsumes() (sage.libs.ppl.Poly_Gen_Relation static method) symbolp() (sage.libs.ecl.EclObject method)

T

t_ELMSYM_HOMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_ELMSYM_MONOMIAL_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_ELMSYM_POWSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_ELMSYM_SCHUR_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_HOMSYM_ELMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_HOMSYM_MONOMIAL_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_HOMSYM_POWSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_HOMSYM_SCHUR_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_MONOMIAL_ELMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_MONOMIAL_HOMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_MONOMIAL_POWSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_MONOMIAL_SCHUR_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POLYNOM_ELMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POLYNOM_MONOMIAL_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POLYNOM_POWER_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POLYNOM_SCHUBERT_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POLYNOM_SCHUR_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POWSYM_ELMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POWSYM_HOMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POWSYM_MONOMIAL_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_POWSYM_SCHUR_symmetrica() (in module sage.libs.symmetrica.symmetrica)

t_SCHUBERT_POLYNOM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_SCHUR_ELMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_SCHUR_HOMSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_SCHUR_MONOMIAL_symmetrica() (in module sage.libs.symmetrica.symmetrica) t_SCHUR_POWSYM_symmetrica() (in module sage.libs.symmetrica.symmetrica) test_ecl_options() (in module sage.libs.ecl) test_integer() (in module sage.libs.symmetrica.symmetrica) test_iterable_to_vector() (in module sage.libs.lrcalc.lrcalc) test_loop_1() (in module sage.libs.gap.test_long) test_loop_2() (in module sage.libs.gap.test_long) test_loop_3() (in module sage.libs.gap.test_long) test_sigint_before_ecl_sig_on() (in module sage.libs.ecl) test_skewtab_to_SkewTableau() (in module sage.libs.lrcalc.lrcalc) test_write_to_file() (in module sage.libs.gap.test) timestamp() (in module sage.libs.gap.saved_workspace) topological_closure_assign() (sage.libs.ppl.Polyhedron method) trait_names() (sage.libs.singular.function_factory.SingularFunctionFactory method) truncate() (sage.libs.flint.fmpz_poly.Fmpz_poly method) two_descent() (sage.libs.eclib.interface.mwrank_EllipticCurve method) type() (sage.libs.ppl.Constraint method) (sage.libs.ppl.Generator method)

U

unconstrain() (sage.libs.ppl.Polyhedron method) unpickle_GroebnerStrategy0() (in module sage.libs.singular.groebner_strategy)

unpickle_NCGroebnerStrategy0() (in module sage.libs.singular.groebner_strategy) unset_global() (sage.libs.gap.libgap.Gap method) upper_bound_assign() (sage.libs.ppl.Polyhedron method)

V

value() (sage.libs.lcalc.lcalc_Lfunction.Lfunction method) var_names() (sage.libs.singular.function.RingWrap method)

Variable (class in sage.libs.ppl) Variables_Set (class in sage.libs.ppl) vector() (sage.libs.gap.element.GapElement_List method)

W

workspace() (in module sage.libs.gap.saved_workspace)

Z

zero() (sage.libs.gap.libgap.Gap method)

zero_element() (sage.libs.gap.libgap.Gap method) zeta() (sage.rings.pari_ring.PariRing method)