Index A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W | X | Z A a_point() (darmonpoints.schottky.SchottkyGroup method) ab_to_G() (darmonpoints.homology_abstract.Abelianization method) abelian_group() (darmonpoints.homology_abstract.Abelianization method) abelian_invariants() (darmonpoints.homology_abstract.Abelianization method) Abelianization (class in darmonpoints.homology_abstract) absolute_degree() (darmonpoints.mixed_extension.QuadExt method) absolute_igusa_padic_from_half_periods() (in module darmonpoints.padicperiods) absolute_igusa_padic_from_xvec() (in module darmonpoints.padicperiods) act_and_evaluate_at_identity() (darmonpoints.representations.CoIndElement method) act_by_genpow() (darmonpoints.representations.CoIndModule method) act_by_hecke() (darmonpoints.homology.OneChainsElement method) act_by_poly_hecke() (darmonpoints.cohomology_arithmetic.CohArbitrary method) (darmonpoints.homology.OneChainsElement method) act_flt() (in module darmonpoints.util) act_flt_in_disc() (in module darmonpoints.util) act_H3() (in module darmonpoints.util) act_on_polynomial() (in module darmonpoints.integrals) acting_matrix() (darmonpoints.ocmodule.AddMeromorphicFunctions method) (darmonpoints.ocmodule.OCVn method) (darmonpoints.representations.CoIndModule method) action_table() (darmonpoints.schottky.PreSchottkyGroup method) acton() (darmonpoints.arithgroup_element.ArithGroupElement method) add_leaf() (darmonpoints.schottky.NeighborJoiningTree method) additive_integral() (in module darmonpoints.plectic) AddMeromorphicFunctions (class in darmonpoints.ocmodule) AddMeromorphicFunctionsElement (class in darmonpoints.ocmodule) adjacency() (darmonpoints.schottky.NeighborJoiningTree method) adjacency_list() (darmonpoints.schottky.NeighborJoiningTree method) admissible_discriminants() (in module darmonpoints.darmonvonk) affine_transformation() (in module darmonpoints.util) all_elements_up_to_length() (darmonpoints.schottky.SchottkyGroup_abstract method) (in module darmonpoints.schottky) all_matrix_candidates() (darmonpoints.darmonvonk.DVCocycle method) all_possible_ordmats() (in module darmonpoints.padicperiods) all_possible_qords() (in module darmonpoints.padicperiods) ambient() (darmonpoints.homology_abstract.Abelianization method) angle_sign() (in module darmonpoints.arithgroup) apply_hecke_operator() (darmonpoints.cohomology_arithmetic.ArithCoh method) (darmonpoints.cohomology_arithmetic.CohArbitrary method) (darmonpoints.homology_abstract.ArithHomology method) apply_map() (darmonpoints.divisors.DivisorsElement method) apply_Up() (darmonpoints.cohomology_arithmetic.ArithCohBianchi method) (darmonpoints.cohomology_arithmetic.ArithCohOverconvergent method) apply_Up1() (darmonpoints.cohomology_arithmetic.ArithCohBianchi method) apply_Up2() (darmonpoints.cohomology_arithmetic.ArithCohBianchi method) approx_module() (darmonpoints.ocmodule.OCVn method) are_equal() (darmonpoints.schottky.Balls method) ArithAction (class in darmonpoints.cohomology_arithmetic) ArithCoh (class in darmonpoints.cohomology_arithmetic) ArithCohBianchi (class in darmonpoints.cohomology_arithmetic) ArithCohElement (class in darmonpoints.cohomology_arithmetic) ArithCohOverconvergent (class in darmonpoints.cohomology_arithmetic) ArithGroup() (in module darmonpoints.sarithgroup) ArithGroup_fuchsian_generic (class in darmonpoints.arithgroup) ArithGroup_nf_fuchsian (class in darmonpoints.arithgroup) ArithGroup_nf_generic (class in darmonpoints.arithgroup) ArithGroup_nf_kleinian (class in darmonpoints.arithgroup) ArithGroup_nf_matrix (class in darmonpoints.arithgroup) ArithGroup_nf_matrix_new (class in darmonpoints.arithgroup) ArithGroup_nscartan (class in darmonpoints.arithgroup_nscartan) ArithGroup_rationalmatrix (class in darmonpoints.arithgroup) ArithGroup_rationalquaternion (class in darmonpoints.arithgroup) ArithGroupAction (class in darmonpoints.homology) ArithGroupElement (class in darmonpoints.arithgroup_element) ArithHomology (class in darmonpoints.homology_abstract) ArithHomologyElement (class in darmonpoints.homology_abstract) as_list_of_differences() (darmonpoints.divisors.DivisorsElement method) attach_kleinian_code() (in module darmonpoints.sarithgroup) B Ball (class in darmonpoints.schottky) Balls (class in darmonpoints.schottky) balls() (darmonpoints.schottky.SchottkyGroup method) base() (darmonpoints.divisors.Divisors method) (darmonpoints.schottky.PreSchottkyGroup method) base_field() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.representations.CoIndModule method) (darmonpoints.sarithgroup.BigArithGroup_class method) (darmonpoints.schottky.SchottkyGroup_abstract method) base_ring() (darmonpoints.darmonvonk.OverconvergentDVCocycle method) (darmonpoints.meromorphic.MeromorphicFunctions method) (darmonpoints.mixed_extension.QuadExt method) (darmonpoints.ocmodule.AddMeromorphicFunctions method) (darmonpoints.ocmodule.OCVn method) (darmonpoints.representations.CoIndModule method) (darmonpoints.schottky.Balls method) (darmonpoints.schottky.SchottkyGroup_abstract method) base_ring_local_embedding() (darmonpoints.sarithgroup.BigArithGroup_class method) basis() (darmonpoints.ocmodule.OCVn method) (darmonpoints.representations.CoIndModule method) BI() (darmonpoints.cohomology_arithmetic.ArithCohElement method) BianchiArithAction (class in darmonpoints.cohomology_arithmetic) BigArithGroup() (in module darmonpoints.sarithgroup) BigArithGroup_class (class in darmonpoints.sarithgroup) BTEdge (class in darmonpoints.sarithgroup) build_Lambdalist_from_AB() (in module darmonpoints.padicperiods) Bunch (class in darmonpoints.util) C cantor_diagonal() (in module darmonpoints.util) certify() (darmonpoints.schottky.PreSchottkyGroup method) change_period_logs() (in module darmonpoints.padicperiods) characteristic() (darmonpoints.mixed_extension.QuadExt method) check_absoluteinvs() (in module darmonpoints.padicperiods) check_cheatjs() (in module darmonpoints.padicperiods) check_cocycle_property() (darmonpoints.cohomology_abstract.CohomologyElement method) check_consistency() (darmonpoints.arithgroup_element.ArithGroupElement method) check_generic() (in module darmonpoints.padicperiods) check_is_cycle() (in module darmonpoints.plectic) check_listI10() (in module darmonpoints.padicperiods) choose_leaf() (in module darmonpoints.schottky) clear_cache() (darmonpoints.ocmodule.OCVn method) (darmonpoints.sarithgroup.BigArithGroup_class method) clear_local_splitting() (darmonpoints.sarithgroup.BigArithGroup_class method) closure() (darmonpoints.schottky.Ball method) coefficient_module() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology.TensorProduct method) (darmonpoints.homology_abstract.HomologyGroup method) (darmonpoints.representations.CoIndModule method) CohArbitrary (class in darmonpoints.cohomology_arithmetic) CohomologyElement (class in darmonpoints.cohomology_abstract) CohomologyGroup (class in darmonpoints.cohomology_abstract) CoIndAction (class in darmonpoints.representations) CoIndElement (class in darmonpoints.representations) CoIndModule (class in darmonpoints.representations) CoinducedElement (class in darmonpoints.integrals) compare_AB_periods() (in module darmonpoints.padicperiods) complement() (darmonpoints.schottky.Ball method) compute_edge_to_eqs() (in module darmonpoints.plectic) compute_indeps_parallel() (in module darmonpoints.plectic) compute_large_system_sparse_parallel() (in module darmonpoints.plectic) compute_lift_sparse_cy() (in module darmonpoints.sparse) compute_lvec_and_Mlist() (in module darmonpoints.padicperiods) compute_plectic_point() (in module darmonpoints.plectic) compute_presentation_GG() (darmonpoints.plectic.PlecticGroup_class method) compute_presentation_GS() (darmonpoints.plectic.PlecticGroup_class method) compute_quadratic_embedding() (darmonpoints.arithgroup.ArithGroup_nf_generic method) (darmonpoints.arithgroup.ArithGroup_rationalquaternion method) compute_tau0() (in module darmonpoints.limits) compute_twisted_jacobian_data() (in module darmonpoints.padicperiods) config_section_map() (in module darmonpoints.util) conjugate_by() (darmonpoints.arithgroup_element.ArithGroupElement method) conjugate_quaternion_over_base() (in module darmonpoints.util) construct_bigfield() (in module darmonpoints.darmonvonk) construct_conjectural_field() (in module darmonpoints.darmonvonk) construct_edge_reps() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) construct_EV_dict() (darmonpoints.plectic.PlecticGroup_class method) construct_homology_cycle() (in module darmonpoints.darmonpoints) construct_tree() (darmonpoints.schottky.PreSchottkyGroup method) construct_VE_dict() (darmonpoints.plectic.PlecticGroup_class method) coset_reps() (darmonpoints.sarithgroup.BigArithGroup_class method) covolume() (in module darmonpoints.util) cross_ratio() (in module darmonpoints.schottky) cusp_boundary_element() (darmonpoints.cohomology_arithmetic.ArithCohElement method) D darmon_discriminants() (in module darmonpoints.darmonpoints) darmon_point() (in module darmonpoints.darmonpoints) darmon_vonk_cocycle() (in module darmonpoints.darmonvonk) darmon_vonk_cycle() (in module darmonpoints.darmonvonk) darmon_vonk_group() (in module darmonpoints.darmonvonk) darmon_vonk_overconvergent_cocycle() (in module darmonpoints.darmonvonk) darmon_vonk_point() (in module darmonpoints.darmonvonk) darmonpoints.arithgroup module darmonpoints.arithgroup_element module darmonpoints.arithgroup_nscartan module darmonpoints.cohomology_abstract module darmonpoints.cohomology_arithmetic module darmonpoints.darmonpoints module darmonpoints.darmonvonk module darmonpoints.divisors module darmonpoints.findcurve module darmonpoints.homology module darmonpoints.homology_abstract module darmonpoints.integrals module darmonpoints.limits module darmonpoints.meromorphic module darmonpoints.mixed_extension module darmonpoints.ocmodule module darmonpoints.padicperiods module darmonpoints.plectic module darmonpoints.representations module darmonpoints.sarithgroup module darmonpoints.schottky module darmonpoints.sparse module darmonpoints.util module decompose() (in module darmonpoints.limits) degree() (darmonpoints.divisors.DivisorsElement method) depth() (darmonpoints.ocmodule.OCVn method) dimension() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.ocmodule.OCVn method) (darmonpoints.representations.CoIndModule method) direct_sum_of_maps() (in module darmonpoints.util) direct_sum_of_modules() (in module darmonpoints.util) discover_equation() (in module darmonpoints.util) divisor_to_pseries() (in module darmonpoints.meromorphic) Divisors (class in darmonpoints.divisors) DivisorsElement (class in darmonpoints.divisors) do_tilde() (darmonpoints.sarithgroup.BigArithGroup_class method) do_twist() (in module darmonpoints.plectic) double_integral() (in module darmonpoints.integrals) double_integral_zero_infty() (in module darmonpoints.integrals) draw_mat_list() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) DVCocycle (class in darmonpoints.darmonvonk) E edge_classes() (darmonpoints.schottky.PreSchottkyGroup method) edge_from_quaternion() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) edges_entering_odd_vertex() (darmonpoints.sarithgroup.BigArithGroup_class method) edges_leaving_even_vertex() (darmonpoints.sarithgroup.BigArithGroup_class method) Element (darmonpoints.arithgroup_nscartan.ArithGroup_nscartan attribute) (darmonpoints.cohomology_abstract.CohomologyGroup attribute) (darmonpoints.cohomology_arithmetic.ArithCoh attribute) (darmonpoints.cohomology_arithmetic.CohArbitrary attribute) (darmonpoints.divisors.Divisors attribute) (darmonpoints.homology.OneChains attribute) (darmonpoints.homology.TensorProduct attribute) (darmonpoints.homology_abstract.ArithHomology attribute) (darmonpoints.homology_abstract.HomologyGroup attribute) (darmonpoints.meromorphic.MeromorphicFunctions attribute) (darmonpoints.mixed_extension.QuadExt attribute) (darmonpoints.ocmodule.AddMeromorphicFunctions attribute) (darmonpoints.ocmodule.OCVn attribute) (darmonpoints.representations.CoIndModule attribute) (darmonpoints.representations.IndModule attribute) (darmonpoints.schottky.Balls attribute) element() (darmonpoints.ocmodule.OCVnElement method) element_of_norm() (darmonpoints.arithgroup.ArithGroup_nf_generic method) (darmonpoints.arithgroup.ArithGroup_nf_matrix method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) (darmonpoints.arithgroup.ArithGroup_rationalquaternion method) (darmonpoints.arithgroup_nscartan.ArithGroup_nscartan method) element_of_prime_norm() (darmonpoints.arithgroup.ArithGroup_nf_generic method) element_to_matrix() (darmonpoints.schottky.SchottkyGroup_abstract method) embed() (darmonpoints.arithgroup_element.ArithGroupElement method) (darmonpoints.sarithgroup.BigArithGroup_class method) embed_order() (darmonpoints.arithgroup.ArithGroup_nf_generic method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) (darmonpoints.arithgroup.ArithGroup_rationalquaternion method) (darmonpoints.arithgroup_nscartan.ArithGroup_nscartan method) embed_order_legacy() (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) embed_wp() (darmonpoints.sarithgroup.BigArithGroup_class method) embeddings() (darmonpoints.plectic.PlecticGroup_class method) enumerate_group_elements() (darmonpoints.schottky.SchottkyGroup_abstract method) (in module darmonpoints.schottky) enumerate_words() (in module darmonpoints.util) euler_factor_twodim() (in module darmonpoints.padicperiods) euler_factor_twodim_tn() (in module darmonpoints.padicperiods) eval_at_genpow() (darmonpoints.cohomology_abstract.CohomologyGroup method) eval_derivative() (darmonpoints.meromorphic.MeromorphicFunctionsElement method) evalpoly() (in module darmonpoints.meromorphic) evaluate() (darmonpoints.cohomology_abstract.CohomologyElement method) (darmonpoints.cohomology_arithmetic.ArithCohElement method) (darmonpoints.darmonvonk.DVCocycle method) (darmonpoints.meromorphic.MeromorphicFunctionsElement method) (darmonpoints.representations.CoIndElement method) evaluate_additive() (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) evaluate_at_cusp_list() (darmonpoints.cohomology_arithmetic.ArithCohElement method) evaluate_at_cycle() (darmonpoints.darmonvonk.OverconvergentDVCocycle method) evaluate_at_identity() (darmonpoints.representations.CoIndElement method) (darmonpoints.representations.IndElement method) evaluate_at_poly() (darmonpoints.ocmodule.OCVnElement method) evaluate_cuspidal_modsym_at_cusp_list() (darmonpoints.cohomology_arithmetic.ArithCohElement method) evaluate_HC() (in module darmonpoints.plectic) evaluate_multiplicative() (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) evaluate_twisted_jacobian_matrix() (in module darmonpoints.padicperiods) F factor_into_generators() (darmonpoints.homology.OneChainsElement method) factorize_matrix() (in module darmonpoints.limits) fast_act() (darmonpoints.meromorphic.MeromorphicFunctionsElement method) FGP_V() (in module darmonpoints.util) FGP_W() (in module darmonpoints.util) field_element_pari_to_sage() (in module darmonpoints.util) find_bounding_cycle() (darmonpoints.arithgroup_element.ArithGroupElement method) find_center() (in module darmonpoints.util) find_coboundaries() (in module darmonpoints.plectic) find_containing_affinoid() (in module darmonpoints.util) find_curve() (in module darmonpoints.findcurve) find_eigenvector_matrix() (in module darmonpoints.schottky) find_equivalent_divisor() (darmonpoints.schottky.SchottkyGroup method) find_fundom_rep() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) find_igusa_invariants() (in module darmonpoints.padicperiods) find_igusa_invariants_from_AB() (in module darmonpoints.padicperiods) find_initial_approx() (in module darmonpoints.padicperiods) find_kadziela_matrices() (in module darmonpoints.padicperiods) find_lambda() (in module darmonpoints.limits) find_limits() (in module darmonpoints.limits) find_midpoint() (darmonpoints.schottky.Balls method) find_optimal_embeddings() (in module darmonpoints.limits) find_parameter() (in module darmonpoints.schottky) find_parameter_new() (in module darmonpoints.schottky) find_point() (darmonpoints.schottky.SchottkyGroup method) find_tau0_and_gtau() (in module darmonpoints.limits) find_the_unit_of() (in module darmonpoints.util) four_point_configuration() (in module darmonpoints.schottky) four_point_configuration_works() (in module darmonpoints.schottky) fox_gradient() (darmonpoints.cohomology_abstract.CohomologyGroup method) free_gens() (darmonpoints.homology_abstract.HomologyGroup method) frobenius_polynomial() (in module darmonpoints.padicperiods) fundamental_domain() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_nf_kleinian method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) (darmonpoints.schottky.PreSchottkyGroup method) fundamental_domain_data() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) fundamental_domain_interior_data() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) fwrite() (in module darmonpoints.util) G GA_to_local() (darmonpoints.cohomology_abstract.CohomologyGroup method) gcd() (darmonpoints.divisors.DivisorsElement method) gen() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology_abstract.HomologyGroup method) (darmonpoints.mixed_extension.QuadExt method) (darmonpoints.representations.CoIndModule method) generate_listI10() (in module darmonpoints.padicperiods) generate_matlists() (in module darmonpoints.padicperiods) generate_wp_candidates() (darmonpoints.arithgroup.ArithGroup_nf_matrix method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) (darmonpoints.arithgroup_nscartan.ArithGroup_nscartan method) generator_acting_matrix() (darmonpoints.cohomology_abstract.CohomologyGroup method) generators() (darmonpoints.schottky.SchottkyGroup_abstract method) gens() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology_abstract.HomologyGroup method) (darmonpoints.representations.CoIndModule method) gens_extended() (darmonpoints.schottky.SchottkyGroup method) genus() (darmonpoints.schottky.SchottkyGroup_abstract method) geodesic_circle() (in module darmonpoints.arithgroup) get() (darmonpoints.util.Bunch method) get_action_data() (darmonpoints.meromorphic.MeromorphicFunctions method) (darmonpoints.ocmodule.AddMeromorphicFunctions method) (darmonpoints.representations.CoIndModule method) get_amalgam_reps() (darmonpoints.sarithgroup.BigArithGroup_class method) get_archimedean_embedding() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) get_arith_action() (darmonpoints.homology.TensorProduct method) get_basic_integral() (in module darmonpoints.integrals) get_BT_reps() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) get_BT_reps_twisted() (darmonpoints.sarithgroup.BigArithGroup_class method) get_c4_and_c6() (in module darmonpoints.util) get_C_and_C2() (in module darmonpoints.util) get_cocycle_from_elliptic_curve() (in module darmonpoints.cohomology_arithmetic) get_coset_ti() (darmonpoints.sarithgroup.BigArithGroup_class method) get_covering() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) get_cycle() (in module darmonpoints.plectic) get_dedekind_rademacher_cocycle() (in module darmonpoints.cohomology_arithmetic) get_degeneration() (darmonpoints.plectic.PlecticGroup_class method) get_edge_list() (in module darmonpoints.plectic) get_edge_rep() (darmonpoints.plectic.PlecticGroup_class method) get_edges_upto() (darmonpoints.sarithgroup.BigArithGroup_class method) get_embedding() (darmonpoints.sarithgroup.BigArithGroup_class method) get_embgquats_twisted() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) get_fox_term() (darmonpoints.cohomology_abstract.CohomologyGroup method) get_gen_pow() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology_abstract.HomologyGroup method) get_gis() (darmonpoints.sarithgroup.BigArithGroup_class method) get_gis_local() (darmonpoints.sarithgroup.BigArithGroup_class method) get_gitildes() (darmonpoints.sarithgroup.BigArithGroup_class method) get_gitildes_local() (darmonpoints.sarithgroup.BigArithGroup_class method) get_heegner_params() (in module darmonpoints.util) get_homology_kernel() (in module darmonpoints.homology) get_j_invariant() (in module darmonpoints.util) get_key() (darmonpoints.schottky.Ball method) get_limits_from_decomp() (in module darmonpoints.limits) get_Lseries_term() (darmonpoints.cohomology_arithmetic.ArithCohBianchi method) (darmonpoints.cohomology_arithmetic.ArithCohElement method) (darmonpoints.cohomology_arithmetic.ArithCohOverconvergent method) get_nu0() (in module darmonpoints.plectic) get_nu1() (in module darmonpoints.plectic) get_overconvergent_class_bianchi() (in module darmonpoints.cohomology_arithmetic) get_overconvergent_class_matrices() (in module darmonpoints.cohomology_arithmetic) get_overconvergent_class_quaternionic() (in module darmonpoints.cohomology_arithmetic) get_pseudo_orthonormal_homology() (in module darmonpoints.padicperiods) get_rational_cocycle() (in module darmonpoints.cohomology_arithmetic) get_rational_cocycle_from_ap() (in module darmonpoints.cohomology_arithmetic) get_subtree() (darmonpoints.schottky.NeighborJoiningTree method) get_twisted_fox_term() (darmonpoints.homology_abstract.HomologyGroup method) get_twodim_cocycle() (in module darmonpoints.cohomology_arithmetic) get_Up_reps() (darmonpoints.sarithgroup.BigArithGroup_class method) get_Up_reps_bianchi() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) get_Up_reps_local() (darmonpoints.cohomology_arithmetic.ArithCohBianchi method) (darmonpoints.cohomology_arithmetic.ArithCohOverconvergent method) get_vertex_list() (in module darmonpoints.plectic) get_word_rep() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_nf_kleinian method) (darmonpoints.arithgroup.ArithGroup_nf_matrix_new method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) (darmonpoints.arithgroup_nscartan.ArithGroup_nscartan method) get_word_rep_fast() (in module darmonpoints.mixed_extension) get_Zp_covering() (darmonpoints.sarithgroup.BigArithGroup_class method) getcoords() (in module darmonpoints.util) Gpn_denominator() (darmonpoints.sarithgroup.BigArithGroup_class method) Gpn_Obasis() (darmonpoints.sarithgroup.BigArithGroup_class method) group() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology.TensorProduct method) (darmonpoints.homology_abstract.HomologyGroup method) (darmonpoints.representations.CoIndModule method) (darmonpoints.schottky.SchottkyGroup_abstract method) guess_equation() (in module darmonpoints.padicperiods) H HalfPeriodsInTermsOfLambdas() (in module darmonpoints.padicperiods) hash_vertex() (in module darmonpoints.schottky) hecke_matrix() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology_abstract.ArithHomology method) hecke_smoothen() (darmonpoints.homology.OneChainsElement method) height_polynomial() (in module darmonpoints.util) hensel_lift() (in module darmonpoints.util) HomologyElement (class in darmonpoints.homology_abstract) HomologyGroup (class in darmonpoints.homology_abstract) hyperbolic_distance() (in module darmonpoints.arithgroup) I I2_inv_from_xvec() (in module darmonpoints.padicperiods) I2_inv_padic_from_half_periods() (in module darmonpoints.padicperiods) I2_inv_padic_from_xvec() (in module darmonpoints.padicperiods) igusa_clebsch_absolute_from_half_periods() (in module darmonpoints.padicperiods) igusa_clebsch_absolute_from_xvec() (in module darmonpoints.padicperiods) igusa_clebsch_from_half_periods() (in module darmonpoints.padicperiods) igusa_clebsch_from_xvec() (in module darmonpoints.padicperiods) imag_part() (in module darmonpoints.util) improve() (darmonpoints.cohomology_arithmetic.ArithCohBianchi method) (darmonpoints.cohomology_arithmetic.ArithCohOverconvergent method) (darmonpoints.darmonvonk.OverconvergentDVCocycle method) in_fundamental_domain() (darmonpoints.schottky.SchottkyGroup method) in_which_ball() (darmonpoints.schottky.SchottkyGroup method) IndAction (class in darmonpoints.representations) IndElement (class in darmonpoints.representations) IndModule (class in darmonpoints.representations) integrate_H1() (in module darmonpoints.integrals) integrate_H1_riemann() (in module darmonpoints.integrals) interior() (darmonpoints.schottky.Ball method) intersect_geodesic_arcs() (in module darmonpoints.arithgroup) intersects() (darmonpoints.divisors.DivisorsElement method) (darmonpoints.schottky.Ball method) inverse_generators() (darmonpoints.schottky.SchottkyGroup_abstract method) inverse_shapiro() (in module darmonpoints.homology) invert_word() (in module darmonpoints.schottky) is_additive() (darmonpoints.ocmodule.AddMeromorphicFunctions method) is_cycle() (darmonpoints.homology.OneChainsElement method) is_degree_zero_valued() (darmonpoints.homology.OneChainsElement method) is_exact() (darmonpoints.ocmodule.OCVn method) is_finite() (darmonpoints.mixed_extension.QuadExt method) is_in_fundom() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) is_in_fundom_boundary() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) is_in_fundom_exterior() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) is_in_fundom_interior() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) is_in_Gamma0loc() (in module darmonpoints.util) is_in_Gamma_1() (in module darmonpoints.util) is_in_Gpn_order() (darmonpoints.sarithgroup.BigArithGroup_class method) is_in_open_interval() (in module darmonpoints.arithgroup) is_in_principal_affinoid() (in module darmonpoints.util) is_infinity() (in module darmonpoints.util) is_one() (darmonpoints.arithgroup_element.ArithGroupElement method) is_overconvergent() (darmonpoints.ocmodule.OCVn method) is_page_initialized() (in module darmonpoints.sarithgroup) is_represented_by_unit() (in module darmonpoints.limits) is_scalar() (darmonpoints.arithgroup_element.ArithGroupElement method) is_smooth() (in module darmonpoints.util) is_trivial_in_abelianization() (darmonpoints.arithgroup_element.ArithGroupElement method) is_zero() (darmonpoints.cohomology_abstract.CohomologyElement method) (darmonpoints.divisors.DivisorsElement method) (darmonpoints.homology.OneChainsElement method) (darmonpoints.representations.CoIndElement method) J j1_inv_from_xvec() (in module darmonpoints.padicperiods) j1_inv_padic_from_half_periods() (in module darmonpoints.padicperiods) j1_inv_padic_from_xvec() (in module darmonpoints.padicperiods) jacobian_matrix() (in module darmonpoints.padicperiods) JtoP() (in module darmonpoints.util) L lambdavec() (in module darmonpoints.padicperiods) lambdavec_padic() (in module darmonpoints.padicperiods) large_group() (darmonpoints.sarithgroup.BigArithGroup_class method) lattice_homology_cycle() (in module darmonpoints.homology) leaf() (in module darmonpoints.schottky) left_act_by_matrix() (darmonpoints.divisors.DivisorsElement method) (darmonpoints.meromorphic.MeromorphicFunctionsElement method) (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) left_multiply_multiplicative() (in module darmonpoints.padicperiods) level (darmonpoints.arithgroup.ArithGroup_nf_matrix_new attribute) lift() (darmonpoints.ocmodule.OCVnElement method) (in module darmonpoints.arithgroup_nscartan) lift_padic_splitting() (in module darmonpoints.util) lift_to_HC() (in module darmonpoints.plectic) lift_to_locally_analytic() (in module darmonpoints.integrals) list() (darmonpoints.mixed_extension.QuadExtElement method) (darmonpoints.ocmodule.OCVnElement method) load_lvec_and_Mlist() (in module darmonpoints.padicperiods) local_splitting() (darmonpoints.sarithgroup.BigArithGroup_class method) log_pseries() (in module darmonpoints.integrals) M M2Z() (in module darmonpoints.util) magma_F_elt_to_sage() (in module darmonpoints.util) magma_F_ideal_to_sage() (in module darmonpoints.util) magma_integral_quaternion_to_sage() (in module darmonpoints.util) magma_quaternion_to_sage() (in module darmonpoints.util) magma_word_problem() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) mat_list() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) matrix() (darmonpoints.arithgroup_element.ArithGroupElement method) matrix_basis() (darmonpoints.arithgroup.ArithGroup_nf_matrix method) (darmonpoints.arithgroup.ArithGroup_nf_matrix_new method) matrix_rep() (darmonpoints.ocmodule.OCVnElement method) matrix_to_element() (darmonpoints.schottky.SchottkyGroup method) matrix_to_quaternion() (darmonpoints.arithgroup.ArithGroup_nf_matrix method) (darmonpoints.arithgroup.ArithGroup_nf_matrix_new method) MatrixAction (class in darmonpoints.representations) MatrixArithGroup() (in module darmonpoints.sarithgroup) MeromorphicFunctions (class in darmonpoints.meromorphic) MeromorphicFunctionsElement (class in darmonpoints.meromorphic) module darmonpoints.arithgroup darmonpoints.arithgroup_element darmonpoints.arithgroup_nscartan darmonpoints.cohomology_abstract darmonpoints.cohomology_arithmetic darmonpoints.darmonpoints darmonpoints.darmonvonk darmonpoints.divisors darmonpoints.findcurve darmonpoints.homology darmonpoints.homology_abstract darmonpoints.integrals darmonpoints.limits darmonpoints.meromorphic darmonpoints.mixed_extension darmonpoints.ocmodule darmonpoints.padicperiods darmonpoints.plectic darmonpoints.representations darmonpoints.sarithgroup darmonpoints.schottky darmonpoints.sparse darmonpoints.util module_generators() (in module darmonpoints.util) module_generators_new() (in module darmonpoints.util) moebius_transform() (in module darmonpoints.arithgroup) moment() (darmonpoints.ocmodule.OCVnElement method) moments() (darmonpoints.ocmodule.OCVnElement method) mult_by() (darmonpoints.homology.TensorElement method) multiplicative_scalar_product() (in module darmonpoints.padicperiods) multiply_out() (in module darmonpoints.util) muted() (in module darmonpoints.util) N NeighborJoiningTree (class in darmonpoints.schottky) ngens() (darmonpoints.homology_abstract.HomologyGroup method) non_positive_unit() (darmonpoints.arithgroup.ArithGroup_nf_generic method) (darmonpoints.arithgroup.ArithGroup_nf_matrix method) (darmonpoints.arithgroup.ArithGroup_rationalmatrix method) (darmonpoints.arithgroup.ArithGroup_rationalquaternion method) (darmonpoints.arithgroup_nscartan.ArithGroup_nscartan method) norm_relative() (darmonpoints.mixed_extension.QuadExtElement method) normalize_periods() (in module darmonpoints.padicperiods) num_evals() (in module darmonpoints.limits) O OCVn (class in darmonpoints.ocmodule) OCVnElement (class in darmonpoints.ocmodule) OneChains (class in darmonpoints.homology) OneChainsElement (class in darmonpoints.homology) op_edge_adj() (in module darmonpoints.plectic) order() (darmonpoints.homology_abstract.HomologyElement method) order_and_unit() (in module darmonpoints.limits) ordp() (darmonpoints.mixed_extension.QuadExtElement method) our_adjuster (class in darmonpoints.ocmodule) our_algdep() (in module darmonpoints.util) our_cuberoot() (in module darmonpoints.util) our_lindep() (in module darmonpoints.util) our_nroot() (in module darmonpoints.util) our_sqrt() (in module darmonpoints.util) OverconvergentDVCocycle (class in darmonpoints.darmonvonk) P p_adic_l_invariant() (in module darmonpoints.padicperiods) p_adic_l_invariant_additive() (in module darmonpoints.padicperiods) pair_with() (darmonpoints.divisors.DivisorsElement method) (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) pair_with_cycle() (darmonpoints.cohomology_abstract.CohomologyElement method) parameters() (darmonpoints.schottky.SchottkyGroup method) pari_ordmax_basis_to_sage() (in module darmonpoints.util) period() (darmonpoints.schottky.SchottkyGroup method) period_from_coords() (in module darmonpoints.util) period_matrix() (darmonpoints.schottky.SchottkyGroup method) period_naive() (darmonpoints.schottky.SchottkyGroup method) perturb_point_on_arc() (in module darmonpoints.arithgroup) PlecticGroup() (in module darmonpoints.plectic) PlecticGroup_class (class in darmonpoints.plectic) plot_fundamental_domain() (darmonpoints.arithgroup.ArithGroup_fuchsian_generic method) point_radius() (in module darmonpoints.util) polynomial() (darmonpoints.mixed_extension.QuadExt method) polynomial_roots() (in module darmonpoints.util) polynomial_roots_old() (in module darmonpoints.util) power_series() (darmonpoints.meromorphic.MeromorphicFunctionsElement method) (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) power_series_ring() (darmonpoints.meromorphic.MeromorphicFunctions method) (darmonpoints.ocmodule.AddMeromorphicFunctions method) precision_cap() (darmonpoints.mixed_extension.QuadExt method) (darmonpoints.ocmodule.OCVn method) precompute_powers() (in module darmonpoints.padicperiods) PreSchottkyGroup (class in darmonpoints.schottky) prime() (darmonpoints.meromorphic.MeromorphicFunctions method) (darmonpoints.mixed_extension.QuadExt method) (darmonpoints.ocmodule.OCVn method) (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) prime_list_candidates() (in module darmonpoints.darmonvonk) print_padic() (in module darmonpoints.util) print_table_latex() (in module darmonpoints.util) ps_adjuster (class in darmonpoints.ocmodule) Q qlogs_from_Lp_and_ords() (in module darmonpoints.padicperiods) QuadExt (class in darmonpoints.mixed_extension) QuadExtElement (class in darmonpoints.mixed_extension) quaternion_algebra() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) quaternion_algebra_invariants_from_ramification() (in module darmonpoints.util) quaternion_rep() (darmonpoints.arithgroup_element.ArithGroupElement method) quaternion_to_magma_quaternion() (in module darmonpoints.util) quaternion_to_matrix() (darmonpoints.arithgroup.ArithGroup_nf_matrix method) (darmonpoints.arithgroup.ArithGroup_nf_matrix_new method) R r_act_by() (darmonpoints.ocmodule.OCVnElement method) radius() (darmonpoints.homology.OneChainsElement method) ramification_index() (darmonpoints.mixed_extension.QuadExt method) random_element() (darmonpoints.mixed_extension.QuadExt method) rank() (darmonpoints.homology_abstract.HomologyGroup method) rational_function() (darmonpoints.divisors.DivisorsElement method) real_part() (in module darmonpoints.util) recognize_DV_algdep() (in module darmonpoints.util) recognize_DV_lindep() (in module darmonpoints.util) recognize_invariant() (in module darmonpoints.padicperiods) recognize_J() (in module darmonpoints.util) recognize_point() (in module darmonpoints.util) reduce_in_amalgam() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) reduce_mod() (darmonpoints.ocmodule.OCVnElement method) reduce_word() (in module darmonpoints.schottky) (in module darmonpoints.util) reduce_word_tietze() (in module darmonpoints.util) relative_degree() (darmonpoints.mixed_extension.QuadExt method) relativize_ATR() (in module darmonpoints.util) residue_class_degree() (darmonpoints.mixed_extension.QuadExt method) restrict() (darmonpoints.divisors.DivisorsElement method) riemann_sum() (in module darmonpoints.integrals) (in module darmonpoints.plectic) riemann_sum_parallel() (in module darmonpoints.plectic) right_multiply_multiplicative() (in module darmonpoints.padicperiods) S S_arithgroup() (darmonpoints.cohomology_arithmetic.ArithCoh method) sage_F_elt_to_magma() (in module darmonpoints.util) sage_F_ideal_to_magma() (in module darmonpoints.util) sage_order_basis_to_pari() (in module darmonpoints.util) sage_quaternion_to_magma() (in module darmonpoints.util) sample_point() (in module darmonpoints.integrals) (in module darmonpoints.plectic) save_to_db() (darmonpoints.sarithgroup.BigArithGroup_class method) scale_by() (darmonpoints.divisors.DivisorsElement method) (darmonpoints.meromorphic.MeromorphicFunctionsElement method) (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) Scaling (class in darmonpoints.representations) SchottkyGroup (class in darmonpoints.schottky) SchottkyGroup_abstract (class in darmonpoints.schottky) selmer_group_iterator() (in module darmonpoints.util) set_immutable() (in module darmonpoints.util) set_wp() (darmonpoints.sarithgroup.BigArithGroup_class method) ShapiroImage (class in darmonpoints.integrals) short_rep() (darmonpoints.homology.TensorElement method) Sigma0() (darmonpoints.ocmodule.OCVn method) Sigma0Action (class in darmonpoints.ocmodule) simplification_isomorphism() (in module darmonpoints.util) size() (darmonpoints.arithgroup_element.ArithGroupElement method) (darmonpoints.divisors.DivisorsElement method) size_of_support() (darmonpoints.homology.TensorElement method) small_group() (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) solve_quadratic() (in module darmonpoints.util) some_elements() (darmonpoints.mixed_extension.QuadExt method) sorted_ideal_endpoints() (in module darmonpoints.arithgroup) space() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology_abstract.HomologyGroup method) sqrt() (darmonpoints.mixed_extension.QuadExtElement method) subdivide() (darmonpoints.sarithgroup.BigArithGroup_class method) support() (darmonpoints.divisors.DivisorsElement method) syllables_to_tietze() (in module darmonpoints.util) T take_to_Qp() (in module darmonpoints.padicperiods) tate_parameter() (in module darmonpoints.util) teichmuller_system() (in module darmonpoints.padicperiods) TensorElement (class in darmonpoints.homology) TensorProduct (class in darmonpoints.homology) test_fundamental_domain() (darmonpoints.schottky.SchottkyGroup method) (in module darmonpoints.schottky) theta() (darmonpoints.schottky.SchottkyGroup method) Theta() (in module darmonpoints.padicperiods) theta_derivative_naive() (darmonpoints.schottky.SchottkyGroup_abstract method) theta_naive() (darmonpoints.schottky.SchottkyGroup_abstract method) Thetas() (in module darmonpoints.padicperiods) tietze_to_syllables() (in module darmonpoints.util) to_fundamental_domain() (darmonpoints.schottky.SchottkyGroup method) to_graph() (darmonpoints.schottky.NeighborJoiningTree method) to_schottky() (darmonpoints.schottky.PreSchottkyGroup method) to_string() (darmonpoints.schottky.NeighborJoiningTree method) Tq_eigenvalue() (darmonpoints.cohomology_arithmetic.ArithCohElement method) trace_absolute() (darmonpoints.mixed_extension.QuadExtElement method) trace_cycle() (in module darmonpoints.darmonvonk) trace_relative() (darmonpoints.mixed_extension.QuadExtElement method) translate_into_twosided_list() (in module darmonpoints.util) TrivialAction (class in darmonpoints.representations) twisted_fox_gradient() (darmonpoints.homology_abstract.HomologyGroup method) twisting_matrix() (darmonpoints.ocmodule.AddMeromorphicFunctions method) U u_function() (darmonpoints.schottky.SchottkyGroup method) uniformizer() (darmonpoints.mixed_extension.QuadExt method) (darmonpoints.schottky.SchottkyGroup_abstract method) uniq() (in module darmonpoints.schottky) unramified_generator() (darmonpoints.mixed_extension.QuadExt method) Up_matrix() (darmonpoints.cohomology_arithmetic.ArithCoh method) update() (darmonpoints.util.Bunch method) update_progress() (in module darmonpoints.util) update_vertex_table() (darmonpoints.schottky.NeighborJoiningTree method) use_shapiro() (darmonpoints.cohomology_arithmetic.ArithCoh method) (darmonpoints.plectic.PlecticGroup_class method) (darmonpoints.sarithgroup.BigArithGroup_class method) V valuation() (darmonpoints.cohomology_abstract.CohomologyElement method) (darmonpoints.homology_abstract.HomologyElement method) (darmonpoints.meromorphic.MeromorphicFunctionsElement method) (darmonpoints.mixed_extension.QuadExtElement method) (darmonpoints.ocmodule.AddMeromorphicFunctionsElement method) (darmonpoints.ocmodule.OCVnElement method) valuation_list() (darmonpoints.ocmodule.OCVnElement method) value() (darmonpoints.divisors.DivisorsElement method) values() (darmonpoints.cohomology_abstract.CohomologyElement method) (darmonpoints.homology_abstract.HomologyElement method) (darmonpoints.representations.CoIndElement method) vert_depth() (darmonpoints.plectic.PlecticGroup_class method) vertex_classes() (darmonpoints.schottky.PreSchottkyGroup method) vertex_from_three_points() (darmonpoints.schottky.Balls method) vertices() (darmonpoints.schottky.NeighborJoiningTree method) W weak_approximation() (in module darmonpoints.util) word_problem() (darmonpoints.schottky.SchottkyGroup method) word_rep() (darmonpoints.arithgroup_element.ArithGroupElement method) wp() (darmonpoints.sarithgroup.BigArithGroup_class method) X xvec() (in module darmonpoints.padicperiods) xvec_padic() (in module darmonpoints.padicperiods) Z zero() (darmonpoints.cohomology_abstract.CohomologyGroup method) (darmonpoints.homology_abstract.HomologyGroup method) zero_degree_equivalent() (darmonpoints.homology.OneChainsElement method)