Index

A

abs_lower() (flint.acb method) (flint.arb method) abs_upper() (flint.acb method) (flint.arb method) acb (class in flint) acb_mat (class in flint) acb_poly (class in flint) acb_series (class in flint) acos() (flint.acb method) (flint.arb method) (flint.arb_series method) acosh() (flint.acb method) (flint.arb method) agm() (flint.acb method) (flint.acb_series method) (flint.arb method) airy() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) airy_ai() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) airy_ai_prime() (flint.acb_series method) (flint.arb_series method) airy_ai_zero() (flint.arb static method)

airy_bi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) airy_bi_prime() (flint.acb_series method) (flint.arb_series method) airy_bi_zero() (flint.arb static method) arb (class in flint) arb_mat (class in flint) arb_poly (class in flint) arb_series (class in flint) arg() (flint.acb method) asin() (flint.acb method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) asinh() (flint.acb method) (flint.arb method) (flint.fmpq_series method) atan() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) atan2() (flint.arb static method) atanh() (flint.acb method) (flint.arb method) (flint.fmpq_series method)

B

barnes_g() (flint.acb method) bell_number() (flint.arb static method) (flint.fmpz method) bernoulli() (flint.arb static method) (flint.fmpq static method) bernoulli_poly() (flint.acb method) (flint.arb method) (flint.fmpq_poly static method) bessel_i() (flint.acb method) (flint.arb method) bessel_j() (flint.acb method) (flint.arb method)

bessel_k() (flint.acb method) (flint.arb method) bessel_y() (flint.acb method) (flint.arb method) beta_lower() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) bin() (flint.arb method) bin_uiui() (flint.arb static method) (flint.fmpz method) bit_length() (flint.fmpz method)

C

ceil() (flint.arb method) charpoly() (flint.acb_mat method) (flint.arb_mat method) chebyshev_t() (flint.acb method) (flint.arb method) (flint.fmpz_poly static method) chebyshev_u() (flint.acb method) (flint.arb method) (flint.fmpz_poly static method) chi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) chop() (flint.acb_mat method) (flint.arb_mat method) ci() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) coeffs() (flint.acb_poly method) (flint.acb_series method) (flint.arb_poly method) (flint.arb_series method) (flint.fmpq_poly method) (flint.fmpq_series method) (flint.fmpz_poly method) (flint.fmpz_series method) (flint.nmod_poly method) (flint.nmod_series method) complex_rad() (flint.acb method) conjugate() (flint.acb_mat method) const_catalan() (flint.arb static method) const_e() (flint.arb static method) const_euler() (flint.arb static method) const_glaisher() (flint.arb static method) const_khinchin() (flint.arb static method) const_log10() (flint.arb static method)

const_log2() (flint.arb static method) const_sqrt_pi() (flint.arb static method) contains() (flint.acb method) (flint.acb_mat method) (flint.arb method) (flint.arb_mat method) convert() (flint.acb_mat method) (flint.arb_mat method) convert_operand() (flint.acb_mat method) (flint.arb_mat method) cos() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) cos_minpoly() (flint.fmpz_poly static method) cos_pi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) cos_pi_fmpq() (flint.arb static method) cosh() (flint.acb method) (flint.arb method) (flint.fmpq_series method) cot() (flint.acb method) (flint.arb method) cot_pi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) coth() (flint.acb method) (flint.arb method) csc() (flint.acb method) (flint.arb method) csch() (flint.acb method) (flint.arb method) csgn() (flint.acb method) cyclotomic() (flint.fmpz_poly static method)

D

dct() (flint.arb_mat method) degree() (flint.acb_poly method) (flint.arb_poly method) (flint.fmpq_poly method) (flint.fmpz_poly method) (flint.nmod_poly method) denom() (flint.fmpq method) (flint.fmpq_poly method) (flint.fmpq_series method) derivative() (flint.acb_poly method) (flint.acb_series method) (flint.arb_poly method) (flint.arb_series method) (flint.fmpq_series method)

det() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method) dft() (flint.acb static method) (flint.acb_mat method) digamma() (flint.acb method) (flint.arb method) dirichlet_char (class in flint) dirichlet_eta() (flint.acb method) dirichlet_group (class in flint) divisor_sigma() (flint.fmpz method)

E

ei() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) eig() (flint.acb_mat method) (flint.arb_mat method) elliptic_e() (flint.acb method) elliptic_e_inc() (flint.acb static method) elliptic_f() (flint.acb static method) elliptic_inv_p() (flint.acb method) elliptic_invariants() (flint.acb method) elliptic_k() (flint.acb method) (flint.acb_series method) elliptic_p() (flint.acb method) (flint.acb_series method) elliptic_pi() (flint.acb static method) elliptic_pi_inc() (flint.acb static method) elliptic_rc() (flint.acb static method) elliptic_rd() (flint.acb static method) elliptic_rf() (flint.acb static method) elliptic_rg() (flint.acb static method) elliptic_rj() (flint.acb static method) elliptic_roots() (flint.acb method) elliptic_sigma() (flint.acb method) elliptic_zeta() (flint.acb method) entries() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method)

erf() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) erfc() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) erfi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) euler_number() (flint.fmpz method) euler_phi() (flint.fmpz method) euler_poly() (flint.fmpq_poly static method) evaluate() (flint.acb_poly method) (flint.arb_poly method) exp() (flint.acb method) (flint.acb_mat method) (flint.acb_series method) (flint.arb method) (flint.arb_mat method) (flint.arb_series method) (flint.fmpq_series method) exp_pi_i() (flint.acb method) expint() (flint.acb method) (flint.arb method) expm1() (flint.acb method) (flint.arb method)

F

fac() (flint.arb method) fac_ui() (flint.arb static method) (flint.fmpz method) factor() (flint.fmpq_poly method) (flint.fmpz method) (flint.fmpz_poly method) (flint.nmod_poly method) fib() (flint.arb static method) fib_ui() (flint.fmpz method) find_roots() (flint.arb_series static method) floor() (flint.arb method) fmpq (class in flint) fmpq_mat (class in flint) fmpq_poly (class in flint) fmpq_series (class in flint)

fmpz (class in flint) fmpz_mat (class in flint) fmpz_poly (class in flint) fmpz_series (class in flint) fresnel() (flint.acb_series method) (flint.arb_series method) fresnel_c() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) fresnel_s() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) from_roots() (flint.acb_poly method) (flint.arb_poly method)

G

gamma() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) gamma_fmpq() (flint.arb static method) gamma_lower() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) gamma_upper() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method)

gcd() (flint.fmpq_poly method) (flint.fmpz method) (flint.fmpz_poly method) (flint.nmod_poly method) gegenbauer_c() (flint.acb method) (flint.arb method) good() (in module flint)

H

hadamard() (flint.fmpz_mat method) hardy_z() (flint.dirichlet_char method) harmonic() (flint.fmpq static method) hermite_h() (flint.acb method) (flint.arb method) hilbert() (flint.arb_mat method) (flint.fmpq_mat method) hilbert_class_poly() (flint.fmpz_poly static method) hnf() (flint.fmpz_mat method) hypgeom() (flint.acb method) (flint.acb_series method) (flint.arb method)

hypgeom_0f1() (flint.acb method) (flint.arb method) hypgeom_1f1() (flint.acb method) (flint.arb method) hypgeom_2f1() (flint.acb method) (flint.arb method) hypgeom_u() (flint.acb method) (flint.arb method)

I

imag (flint.acb attribute) (flint.acb_mat attribute) index (flint.dirichlet_char attribute) integral() (flint.acb static method) (flint.acb_poly method) (flint.acb_series method) (flint.arb_poly method) (flint.arb_series method) (flint.fmpq_series method) interpolate() (flint.acb_poly method) (flint.arb_poly method) intersection() (flint.arb method) inv() (flint.acb_mat method) (flint.acb_series method) (flint.arb_mat method) (flint.arb_series method) (flint.fmpq_mat method) (flint.fmpq_series method) (flint.fmpz_mat method) (flint.nmod_mat method)

is_exact() (flint.arb method) is_finite() (flint.arb method) is_hadamard() (flint.fmpz_mat method) is_hnf() (flint.fmpz_mat method) is_nan() (flint.arb method) is_snf() (flint.fmpz_mat method) is_zero() (flint.arb method)

J

jacobi_p() (flint.acb method) (flint.arb method)

L

l() (flint.dirichlet_char method) laguerre_l() (flint.acb method) (flint.arb method) lambertw() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) legendre_p() (flint.acb method) (flint.arb method) (flint.fmpq_poly static method) legendre_p_root() (flint.arb static method) legendre_q() (flint.acb method) (flint.arb method) length() (flint.acb_poly method) (flint.acb_series method) (flint.arb_poly method) (flint.arb_series method) (flint.fmpq_poly method) (flint.fmpq_series method) (flint.fmpz_poly method) (flint.fmpz_series method) (flint.nmod_poly method)

lgamma() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) li() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) lll() (flint.fmpz_mat method) log() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) log1p() (flint.acb method) (flint.arb method) log_barnes_g() (flint.acb method) log_sin_pi() (flint.acb method) lower() (flint.arb method)

M

man_exp() (flint.arb method) max() (flint.arb method) mid() (flint.acb method) (flint.acb_mat method) (flint.arb method) (flint.arb_mat method) mid_rad_10exp() (flint.arb method) min() (flint.arb method)

modular_delta() (flint.acb method) modular_eta() (flint.acb method) modular_j() (flint.acb method) modular_lambda() (flint.acb method) modular_theta() (flint.acb method) modulus() (flint.nmod method) (flint.nmod_mat method) (flint.nmod_poly method) moebius_mu() (flint.fmpz method)

N

nan() (flint.arb static method) ncols() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method) neg_inf() (flint.arb static method) next() (flint.fmpq method) nmod (class in flint) nmod_mat (class in flint) nmod_poly (class in flint) nmod_series (class in flint)

nonnegative_part() (flint.arb method) nrows() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method) nullspace() (flint.fmpz_mat method) (flint.nmod_mat method) numer() (flint.fmpq method) (flint.fmpq_poly method) (flint.fmpq_series method) numer_denom() (flint.fmpq_mat method)

O

overlaps() (flint.acb method) (flint.acb_mat method) (flint.arb method) (flint.arb_mat method)

P

p (flint.fmpq attribute) (flint.fmpq_poly attribute) (flint.fmpq_series attribute) partitions_p() (flint.arb static method) (flint.fmpz method) pascal() (flint.arb_mat method) pi() (flint.acb static method) (flint.arb static method)

polygamma() (flint.acb method) polylog() (flint.acb method) (flint.acb_series method) (flint.arb method) pos_inf() (flint.arb static method) pow() (flint.acb method) primorial_ui() (flint.fmpz method)

Q

q (flint.dirichlet_group attribute) (flint.fmpq attribute) (flint.fmpq_poly attribute) (flint.fmpq_series attribute)

R

rad() (flint.acb method) (flint.arb method) randbits() (flint.fmpz_mat method) randrank() (flint.fmpz_mat method) randtest() (flint.fmpz_mat method) (flint.nmod_mat method) rank() (flint.fmpz_mat method) (flint.nmod_mat method) real (flint.acb attribute) (flint.acb_mat attribute) real_abs() (flint.acb method) real_ceil() (flint.acb method) real_floor() (flint.acb method) real_heaviside() (flint.acb method) real_max() (flint.acb method) real_min() (flint.acb method) real_sgn() (flint.acb method) real_sqrt() (flint.acb method) rel_accuracy_bits() (flint.acb method) (flint.arb method) repr() (flint.acb method) (flint.acb_mat method) (flint.acb_poly method) (flint.acb_series method) (flint.arb method) (flint.arb_mat method) (flint.arb_poly method) (flint.arb_series method) (flint.fmpq method) (flint.fmpq_mat method) (flint.fmpq_poly method) (flint.fmpq_series method) (flint.fmpz method) (flint.fmpz_mat method) (flint.fmpz_poly method) (flint.fmpz_series method) (flint.nmod method) (flint.nmod_poly method)

reversion() (flint.acb_series method) (flint.arb_series method) (flint.fmpq_series method) (flint.fmpz_series method) rgamma() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) riemann_siegel_theta() (flint.arb_series method) riemann_siegel_z() (flint.arb_series method) rising() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpz method) rising2() (flint.acb method) (flint.arb method) rising_fmpq_ui() (flint.arb static method) root() (flint.acb method) (flint.arb method) root_bound() (flint.acb_poly method) roots() (flint.acb_poly method) (flint.arb_poly method) (flint.fmpq_poly method) (flint.fmpz_poly method) (flint.nmod_poly method) rref() (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method) rsqrt() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method)

S

sec() (flint.acb method) (flint.arb method) sech() (flint.acb method) (flint.arb method) sgn() (flint.acb method) (flint.arb method) shi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) showgood() (in module flint) si() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) sin() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) sin_cos() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) sin_cos_pi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) sin_cos_pi_fmpq() (flint.arb static method) sin_pi() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) sin_pi_fmpq() (flint.arb static method) sinc() (flint.acb method) (flint.arb method) sinc_pi() (flint.acb method) (flint.arb method) sinh() (flint.acb method) (flint.arb method) (flint.fmpq_series method)

sinh_cosh() (flint.acb method) (flint.arb method) size() (flint.dirichlet_group method) snf() (flint.fmpz_mat method) solve() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method) spherical_y() (flint.acb static method) sqrt() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) stieltjes() (flint.acb static method) stirling() (flint.arb_mat method) stirling_s1() (flint.fmpz method) stirling_s2() (flint.fmpz method) str() (flint.acb method) (flint.acb_mat method) (flint.acb_poly method) (flint.acb_series method) (flint.arb method) (flint.arb_mat method) (flint.arb_poly method) (flint.arb_series method) (flint.fmpq method) (flint.fmpq_mat method) (flint.fmpq_poly method) (flint.fmpq_series method) (flint.fmpz method) (flint.fmpz_mat method) (flint.fmpz_poly method) (flint.fmpz_series method) (flint.nmod method) (flint.nmod_poly method) swinnerton_dyer() (flint.fmpz_poly static method)

T

table() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method) tan() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method) (flint.fmpq_series method) tan_pi() (flint.acb method) (flint.arb method) tanh() (flint.acb method) (flint.arb method) (flint.fmpq_series method)

tolist() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) trace() (flint.acb_mat method) (flint.arb_mat method) transpose() (flint.acb_mat method) (flint.arb_mat method) (flint.fmpq_mat method) (flint.fmpz_mat method) (flint.nmod_mat method)

U

union() (flint.arb method) unique_fmpz() (flint.acb method) (flint.arb method)

unique_fmpz_poly() (flint.acb_poly method) (flint.arb_poly method) upper() (flint.arb method)

V

valuation() (flint.acb_series method) (flint.arb_series method) (flint.fmpq_series method) (flint.fmpz_series method)

Z

zeta() (flint.acb method) (flint.acb_series method) (flint.arb method) (flint.arb_series method)