├── .binder ├── environment.yml └── postBuild ├── .gitignore ├── LICENSE ├── Makefile.in ├── Makefile.subdirs ├── README.md ├── ca.h ├── ca ├── abs.c ├── add.c ├── arg.c ├── asin.c ├── atan.c ├── can_evaluate_qqbar.c ├── ceil.c ├── check_equal.c ├── check_ge.c ├── check_gt.c ├── check_is_algebraic.c ├── check_is_i.c ├── check_is_imaginary.c ├── check_is_infinity.c ├── check_is_integer.c ├── check_is_neg_i.c ├── check_is_neg_i_inf.c ├── check_is_neg_inf.c ├── check_is_neg_one.c ├── check_is_negative_real.c ├── check_is_number.c ├── check_is_one.c ├── check_is_pos_i_inf.c ├── check_is_pos_inf.c ├── check_is_rational.c ├── check_is_real.c ├── check_is_signed_inf.c ├── check_is_uinf.c ├── check_is_undefined.c ├── check_is_zero.c ├── check_le.c ├── check_lt.c ├── clear.c ├── condense_field.c ├── conj.c ├── csgn.c ├── ctx_clear.c ├── ctx_get_field_const.c ├── ctx_get_field_fx.c ├── ctx_get_field_fxy.c ├── ctx_init.c ├── ctx_print.c ├── div.c ├── dot.c ├── equal_repr.c ├── erf.c ├── erfc.c ├── erfi.c ├── euler.c ├── exp.c ├── factor.c ├── factor_clear.c ├── factor_get_ca.c ├── factor_init.c ├── factor_insert.c ├── factor_one.c ├── factor_print.c ├── floor.c ├── fmpq_poly_evaluate.c ├── fmpz_mpoly_evaluate.c ├── fmpz_mpoly_q_evaluate.c ├── fmpz_poly_evaluate.c ├── gamma.c ├── get_acb.c ├── get_acb_raw.c ├── get_fexpr.c ├── get_qqbar.c ├── hash_repr.c ├── i.c ├── im.c ├── init.c ├── inlines.c ├── inv.c ├── is_cyclotomic_nf_elem.c ├── is_gen_as_ext.c ├── log.c ├── make_field_element.c ├── merge_fields.c ├── mul.c ├── neg.c ├── neg_i.c ├── neg_i_inf.c ├── neg_inf.c ├── neg_one.c ├── one.c ├── pi.c ├── pi_i.c ├── pos_i_inf.c ├── pos_inf.c ├── pow.c ├── print.c ├── printn.c ├── randtest.c ├── re.c ├── rewrite_complex_normal_form.c ├── set.c ├── set_d.c ├── set_d_d.c ├── set_fexpr.c ├── set_fmpq.c ├── set_fmpz.c ├── set_qqbar.c ├── set_si.c ├── set_ui.c ├── sgn.c ├── sin_cos.c ├── sqrt.c ├── sqrt_factor.c ├── swap.c ├── test │ ├── t-acos.c │ ├── t-add.c │ ├── t-asin.c │ ├── t-atan.c │ ├── t-conj.c │ ├── t-ctx_init_clear.c │ ├── t-div.c │ ├── t-erf.c │ ├── t-exp.c │ ├── t-field_init_clear.c │ ├── t-fmpz_mpoly_evaluate.c │ ├── t-gamma.c │ ├── t-get_fexpr.c │ ├── t-get_str.c │ ├── t-init_clear.c │ ├── t-log.c │ ├── t-log_identities.c │ ├── t-mul.c │ ├── t-neg.c │ ├── t-pow.c │ ├── t-pow_si_arithmetic.c │ ├── t-properties.c │ ├── t-re_im.c │ ├── t-sin_cos.c │ ├── t-sqrt.c │ ├── t-sqrt_factor.c │ ├── t-sub.c │ ├── t-tan.c │ └── t-transfer.c ├── transfer.c ├── uinf.c ├── undefined.c ├── unknown.c └── zero.c ├── ca_ext.h ├── ca_ext ├── cache_clear.c ├── cache_init.c ├── cache_insert.c ├── clear.c ├── cmp_repr.c ├── equal_repr.c ├── get_acb_raw.c ├── init.c ├── inlines.c ├── print.c └── test │ └── t-cache_insert.c ├── ca_field.h ├── ca_field ├── build_ideal.c ├── build_ideal_erf.c ├── build_ideal_gamma.c ├── cache_clear.c ├── cache_init.c ├── cache_insert.c ├── clear.c ├── cmp.c ├── init.c ├── inlines.c ├── print.c ├── set_ext.c └── test │ └── t-cache_insert.c ├── ca_mat.h ├── ca_mat ├── add.c ├── add_ca.c ├── addmul_ca.c ├── adjugate.c ├── adjugate_charpoly.c ├── adjugate_cofactor.c ├── ca_poly_evaluate.c ├── charpoly.c ├── charpoly_berkowitz.c ├── charpoly_danilevsky.c ├── check_equal.c ├── check_is_one.c ├── check_is_zero.c ├── clear.c ├── companion.c ├── conj.c ├── conj_transpose.c ├── det.c ├── det_bareiss.c ├── det_berkowitz.c ├── det_cofactor.c ├── det_lu.c ├── dft.c ├── diagonalization.c ├── eigenvalues.c ├── exp.c ├── fflu.c ├── find_pivot.c ├── get_fexpr.c ├── hilbert.c ├── init.c ├── inlines.c ├── inv.c ├── jordan_blocks.c ├── jordan_form.c ├── jordan_transformation.c ├── log.c ├── lu.c ├── lu_classical.c ├── lu_recursive.c ├── mul.c ├── mul_classical.c ├── mul_same_nf.c ├── neg.c ├── nonsingular_fflu.c ├── nonsingular_lu.c ├── nonsingular_solve.c ├── nonsingular_solve_adjugate.c ├── nonsingular_solve_fflu.c ├── nonsingular_solve_lu.c ├── one.c ├── ones.c ├── pascal.c ├── pow_ui_binexp.c ├── print.c ├── randops.c ├── randtest.c ├── rank.c ├── right_kernel.c ├── rref.c ├── rref_fflu.c ├── rref_lu.c ├── set.c ├── set_ca.c ├── set_fmpq_mat.c ├── set_fmpz_mat.c ├── solve_fflu_precomp.c ├── solve_lu_precomp.c ├── solve_tril.c ├── solve_triu.c ├── stirling.c ├── sub.c ├── sub_ca.c ├── submul_ca.c ├── test │ ├── t-adjugate.c │ ├── t-ca_poly_evaluate.c │ ├── t-charpoly.c │ ├── t-charpoly_danilevsky.c │ ├── t-companion.c │ ├── t-det.c │ ├── t-dft.c │ ├── t-diagonalization.c │ ├── t-exp.c │ ├── t-inv.c │ ├── t-jordan_blocks.c │ ├── t-jordan_form.c │ ├── t-lu.c │ ├── t-lu_classical.c │ ├── t-lu_recursive.c │ ├── t-mul.c │ ├── t-mul_same_nf.c │ ├── t-nonsingular_solve.c │ ├── t-nonsingular_solve_adjugate.c │ ├── t-nonsingular_solve_fflu.c │ ├── t-nonsingular_solve_lu.c │ ├── t-rank.c │ ├── t-right_kernel.c │ ├── t-rref.c │ ├── t-rref_fflu.c │ ├── t-rref_lu.c │ ├── t-solve_tril.c │ └── t-solve_triu.c ├── trace.c ├── transfer.c ├── transpose.c ├── window_init.c └── zero.c ├── ca_poly.h ├── ca_poly ├── add.c ├── atan_series.c ├── check_equal.c ├── check_is_one.c ├── check_is_zero.c ├── clear.c ├── compose.c ├── compose_divconquer.c ├── compose_horner.c ├── derivative.c ├── div_series.c ├── divrem.c ├── divrem_basecase.c ├── evaluate.c ├── evaluate_horner.c ├── exp_series.c ├── factor_squarefree.c ├── fit_length.c ├── gcd.c ├── gcd_euclidean.c ├── get_fexpr.c ├── init.c ├── inlines.c ├── integral.c ├── inv_series.c ├── is_proper.c ├── log_series.c ├── make_monic.c ├── mul.c ├── mullow.c ├── mullow_same_nf.c ├── neg.c ├── normalise.c ├── pow_ui.c ├── pow_ui_trunc.c ├── print.c ├── randtest.c ├── reverse.c ├── roots.c ├── set.c ├── set_ca.c ├── set_coeff_ca.c ├── set_fmpq_poly.c ├── set_fmpz_poly.c ├── set_length.c ├── set_roots.c ├── set_si.c ├── shift_left.c ├── shift_right.c ├── squarefree_part.c ├── sub.c ├── test │ ├── t-atan_series.c │ ├── t-compose.c │ ├── t-compose_divconquer.c │ ├── t-compose_horner.c │ ├── t-div_series.c │ ├── t-divrem.c │ ├── t-evaluate.c │ ├── t-evaluate_horner.c │ ├── t-exp_series.c │ ├── t-factor_squarefree.c │ ├── t-gcd.c │ ├── t-gcd_euclidean.c │ ├── t-inv_series.c │ ├── t-log_series.c │ ├── t-mul.c │ ├── t-pow_ui.c │ ├── t-roots.c │ └── t-squarefree_part.c ├── transfer.c ├── vec_append.c ├── vec_clear.c ├── vec_init.c └── vec_set_length.c ├── ca_vec.h ├── ca_vec ├── add.c ├── check_is_zero.c ├── clear.c ├── init.c ├── inlines.c ├── neg.c ├── print.c ├── scalar_addmul_ca.c ├── scalar_div_ca.c ├── scalar_mul_ca.c ├── scalar_submul_ca.c ├── set.c ├── set_length.c ├── sub.c ├── swap.c └── zero.c ├── calcium.h ├── calcium ├── func_name.c ├── test_multiplier.c ├── version.c ├── write.c ├── write_acb.c └── write_si.c ├── configure ├── doc ├── introduction.ipynb ├── make.bat └── source │ ├── _static │ ├── ca2.pdf │ ├── ca2.svg │ └── default.css │ ├── bibliography.rst │ ├── ca.rst │ ├── ca_ext.rst │ ├── ca_field.rst │ ├── ca_mat.rst │ ├── ca_poly.rst │ ├── ca_vec.rst │ ├── calcium.rst │ ├── conf.py │ ├── examples.rst │ ├── fexpr.rst │ ├── fexpr_builtin.rst │ ├── fmpz_mpoly_q.rst │ ├── history.rst │ ├── index.rst │ ├── introduction.rst │ ├── pycalcium.rst │ ├── qqbar.rst │ ├── setup.rst │ └── utils_flint.rst ├── examples ├── binet.c ├── dft.c ├── elementary.c ├── hilbert_matrix.c ├── huge_expr.c ├── machin.c └── swinnerton_dyer_poly.c ├── fexpr.h ├── fexpr ├── arg.c ├── arithmetic.c ├── arithmetic_nodes.c ├── call0.c ├── call1.c ├── call2.c ├── call3.c ├── call4.c ├── call_vec.c ├── cmp_fast.c ├── contains.c ├── depth.c ├── equal_si.c ├── equal_ui.c ├── expanded_normal_form.c ├── func.c ├── get_fmpz.c ├── get_fmpz_mpoly_q.c ├── get_string.c ├── get_symbol_str.c ├── hash.c ├── inlines.c ├── is_any_builtin_call.c ├── is_arithmetic_operation.c ├── is_builtin_call.c ├── is_neg_integer.c ├── num_leaves.c ├── numerical_enclosure.c ├── print.c ├── replace.c ├── set_arf.c ├── set_d.c ├── set_fmpq.c ├── set_fmpz.c ├── set_fmpz_mpoly.c ├── set_fmpz_mpoly_q.c ├── set_si.c ├── set_string.c ├── set_symbol_str.c ├── set_ui.c ├── test │ ├── t-builtins.c │ ├── t-call_vec.c │ ├── t-replace.c │ ├── t-set_fmpz.c │ └── t-write_latex.c └── write_latex.c ├── fexpr_builtin.h ├── fexpr_builtin ├── inlines.c ├── lookup.c └── table.c ├── fmpz_mpoly_q.h ├── fmpz_mpoly_q ├── add.c ├── add_fmpq.c ├── add_fmpz.c ├── canonicalise.c ├── clear.c ├── div.c ├── div_fmpq.c ├── div_fmpz.c ├── equal.c ├── evaluate_acb.c ├── init.c ├── inlines.c ├── inv.c ├── is_canonical.c ├── mul.c ├── mul_fmpq.c ├── mul_fmpz.c ├── neg.c ├── print_pretty.c ├── randtest.c ├── set.c ├── set_fmpq.c ├── set_fmpz.c ├── set_si.c ├── sub.c ├── sub_fmpq.c ├── sub_fmpz.c ├── swap.c ├── test │ ├── t-add.c │ ├── t-add_fmpq.c │ ├── t-add_fmpz.c │ ├── t-div.c │ ├── t-div_fmpq.c │ ├── t-div_fmpz.c │ ├── t-inv.c │ ├── t-mul.c │ ├── t-mul_fmpq.c │ ├── t-mul_fmpz.c │ ├── t-randtest.c │ ├── t-sub.c │ ├── t-sub_fmpq.c │ └── t-sub_fmpz.c └── used_vars.c ├── pycalcium ├── pyca.py └── pyca_test │ ├── __init__.py │ └── test_latex.py ├── qqbar.h ├── qqbar ├── abs.c ├── abs2.c ├── acb_lindep.c ├── acos_pi.c ├── acot_pi.c ├── acsc_pi.c ├── add.c ├── affine_transform.c ├── asec_pi.c ├── asin_pi.c ├── atan_pi.c ├── cache_enclosure.c ├── ceil.c ├── clear.c ├── cmp_im.c ├── cmp_re.c ├── cmp_root_order.c ├── cmpabs.c ├── cmpabs_im.c ├── cmpabs_re.c ├── composed_op.c ├── conj.c ├── conjugates.c ├── cos_pi.c ├── cot_pi.c ├── csc_pi.c ├── csgn.c ├── denominator.c ├── div.c ├── eigenvalues_fmpq_mat.c ├── eigenvalues_fmpz_mat.c ├── enclosure_raw.c ├── equal.c ├── equal_fmpq_poly_val.c ├── evaluate_fmpq_poly.c ├── evaluate_fmpz_mpoly.c ├── evaluate_fmpz_poly.c ├── exp_pi_i.c ├── express_in_field.c ├── floor.c ├── fmpq_pow_si_ui.c ├── fmpq_root_ui.c ├── get_acb.c ├── get_arb.c ├── get_arb_im.c ├── get_arb_re.c ├── get_fexpr.c ├── get_fmpq.c ├── get_fmpz.c ├── get_quadratic.c ├── guess.c ├── hash.c ├── height.c ├── height_bits.c ├── i.c ├── im.c ├── init.c ├── inlines.c ├── inv.c ├── log_pi_i.c ├── mul.c ├── mul_2exp_si.c ├── neg.c ├── numerator.c ├── phi.c ├── pow.c ├── print.c ├── printn.c ├── randtest.c ├── re.c ├── re_im.c ├── root_of_unity.c ├── root_ui.c ├── roots_fmpq_poly.c ├── roots_fmpz_poly.c ├── sec_pi.c ├── set.c ├── set_d.c ├── set_fexpr.c ├── set_fmpq.c ├── set_fmpz.c ├── set_re_im.c ├── set_re_im_d.c ├── set_si.c ├── set_ui.c ├── sgn.c ├── sgn_im.c ├── sgn_re.c ├── sin_pi.c ├── sub.c ├── swap.c ├── tan_pi.c ├── test │ ├── t-abs.c │ ├── t-abs2.c │ ├── t-acos_pi.c │ ├── t-acot_pi.c │ ├── t-acsc_pi.c │ ├── t-add.c │ ├── t-asec_pi.c │ ├── t-asin_pi.c │ ├── t-atan_pi.c │ ├── t-ceil.c │ ├── t-cmp_im.c │ ├── t-cmp_re.c │ ├── t-cmpabs.c │ ├── t-cmpabs_im.c │ ├── t-cmpabs_re.c │ ├── t-conjugates.c │ ├── t-cos_pi.c │ ├── t-cot_pi.c │ ├── t-csc_pi.c │ ├── t-csgn.c │ ├── t-div.c │ ├── t-equal_fmpq_poly_val.c │ ├── t-evaluate_fmpq_poly.c │ ├── t-evaluate_fmpz_mpoly.c │ ├── t-exp_pi_i.c │ ├── t-express_in_field.c │ ├── t-floor.c │ ├── t-fmpz_poly_composed_op.c │ ├── t-get_acb.c │ ├── t-get_fexpr.c │ ├── t-get_fexpr_formula.c │ ├── t-get_quadratic.c │ ├── t-guess.c │ ├── t-inv.c │ ├── t-log_pi_i.c │ ├── t-mul.c │ ├── t-mul_2exp_si.c │ ├── t-pow.c │ ├── t-pow_fmpq.c │ ├── t-pow_fmpz.c │ ├── t-pow_si.c │ ├── t-pow_ui.c │ ├── t-randtest.c │ ├── t-re_im.c │ ├── t-root_of_unity.c │ ├── t-root_ui.c │ ├── t-roots_fmpz_poly.c │ ├── t-sec_pi.c │ ├── t-set_d.c │ ├── t-set_re_im_d.c │ ├── t-sgn.c │ ├── t-sgn_re.c │ ├── t-sin_pi.c │ ├── t-sub.c │ └── t-tan_pi.c ├── validate_enclosure.c └── write.c ├── utils_flint.h └── utils_flint ├── fmpz_mpoly_buchberger_naive.c ├── fmpz_mpoly_primitive_part.c ├── fmpz_mpoly_reduction_primitive_part.c ├── fmpz_mpoly_select_pop_pair.c ├── fmpz_mpoly_spoly.c ├── fmpz_mpoly_symmetric.c ├── fmpz_mpoly_vec_autoreduction.c ├── fmpz_mpoly_vec_autoreduction_groebner.c ├── fmpz_mpoly_vec_is_autoreduced.c ├── fmpz_mpoly_vec_is_groebner.c ├── fmpz_mpoly_vec_set_length.c ├── fmpz_mpoly_vec_set_primitive_unique.c ├── inlines.c ├── set_gen_fmpz_poly.c └── test ├── t-fmpz_mpoly_buchberger_naive.c ├── 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