Index


_ | a | b | c | d | e | f | g | h | i | j | k | l | m | n | o | p | q | r | s | t | u | v | w | x | z

_ (underscore)

__abs__() (in module sage.linalg.matrix)
__abs__() (in module sage.linalg.vector)
__abs__() (in module sage.rings.complex_number)
__abs__() (in module sage.rings.real_number)
__add__() (in module sage.linalg.matrix)
__add__() (in module sage.linalg.vector)
__add__() (in module sage.linalg.vector_space)
__add__() (in module sage.modular.modform.modform), [Link]
__add__() (in module sage.rings.complex_number)
__add__() (in module sage.rings.quaternion)
__add__() (in module sage.rings.real_number)
__add__() (in module sage.structure.function)
__and__() (in module sage.modular.modform.modform)
__call__() (in module sage.ellcurve.ell_generic)
__call__() (in module sage.interfaces.gap)
__call__() (in module sage.interfaces.singular)
__call__() (in module sage.linalg.matrix_space)
__call__() (in module sage.linalg.vector_space)
__call__() (in module sage.misc.functional)
__call__() (in module sage.modular.dirichlet), [Link]
__call__() (in module sage.modular.modform.modform)
__call__() (in module sage.rings.complex_field)
__call__() (in module sage.rings.integer_ring)
__call__() (in module sage.rings.quatalg)
__call__() (in module sage.rings.rational_field)
__call__() (in module sage.rings.real_field), [Link], [Link]
__call__() (in module sage.structure.function), [Link]
__call__() (in module sage.tables.jones)
__cmp__() (in module sage.ellcurve.ell_generic)
__cmp__() (in module sage.linalg.matrix)
__cmp__() (in module sage.linalg.matrix_space)
__cmp__() (in module sage.linalg.vector)
__cmp__() (in module sage.linalg.vector_space)
__cmp__() (in module sage.misc.functional)
__cmp__() (in module sage.modular.dirichlet), [Link]
__cmp__() (in module sage.modular.modform.modform), [Link]
__cmp__() (in module sage.rings.complex_number)
__cmp__() (in module sage.rings.integer_ring)
__cmp__() (in module sage.rings.quatalg)
__cmp__() (in module sage.rings.quaternion)
__cmp__() (in module sage.rings.rational_field)
__cmp__() (in module sage.rings.real_field), [Link], [Link]
__cmp__() (in module sage.rings.real_number)
__cmp__() (in module sage.tables.jones)
__complex__() (in module sage.rings.complex_number)
__contains__() (in module sage.ellcurve.ell_generic)
__contains__() (in module sage.linalg.matrix_space)
__contains__() (in module sage.linalg.vector_space), [Link], [Link]
__contains__() (in module sage.misc.functional)
__contains__() (in module sage.modular.modform.modform)
__contains__() (in module sage.rings.integer_ring)
__contains__() (in module sage.rings.quatalg)
__contains__() (in module sage.rings.rational_field)
__contains__() (in module sage.tables.jones)
__div__() (in module sage.linalg.matrix)
__div__() (in module sage.rings.complex_number)
__div__() (in module sage.rings.quaternion)
__div__() (in module sage.rings.real_number)
__float__() (in module sage.rings.complex_number)
__float__() (in module sage.rings.real_number)
__getitem__() (in module sage.ellcurve.ell_finite_field)
__getitem__() (in module sage.ellcurve.ell_generic)
__getitem__() (in module sage.linalg.matrix), [Link], [Link], [Link]
__getitem__() (in module sage.linalg.vector), [Link], [Link]
__getitem__() (in module sage.modular.modform.modform)
__getitem__() (in module sage.tables.cremona)
__getitem__() (in module sage.tables.jones)
__getslice__() (in module sage.modular.modform.modform)
__int__() (in module sage.rings.complex_number)
__int__() (in module sage.rings.real_number)
__invert__() (in module sage.linalg.matrix)
__invert__() (in module sage.linalg.vector)
__invert__() (in module sage.modular.dirichlet)
__invert__() (in module sage.rings.complex_number)
__invert__() (in module sage.rings.quaternion)
__invert__() (in module sage.rings.real_number)
__invert__() (in module sage.structure.function), [Link]
__iter__() (in module sage.tables.cremona)
__len__() (in module sage.modular.dirichlet)
__long__() (in module sage.rings.complex_number)
__long__() (in module sage.rings.real_number)
__mod__() (in module sage.linalg.matrix)
__mod__() (in module sage.linalg.vector)
__mul__() (in module sage.linalg.matrix), [Link], [Link]
__mul__() (in module sage.linalg.vector)
__mul__() (in module sage.modular.dirichlet)
__mul__() (in module sage.rings.complex_number)
__mul__() (in module sage.rings.quatalg)
__mul__() (in module sage.rings.quaternion)
__mul__() (in module sage.rings.real_number)
__mul__() (in module sage.structure.function)
__neg__() (in module sage.linalg.matrix)
__neg__() (in module sage.linalg.vector)
__neg__() (in module sage.modular.modform.modform)
__neg__() (in module sage.rings.complex_number)
__neg__() (in module sage.rings.quaternion)
__neg__() (in module sage.rings.real_number)
__pos__() (in module sage.linalg.matrix)
__pos__() (in module sage.linalg.vector)
__pos__() (in module sage.modular.modform.modform)
__pos__() (in module sage.rings.complex_number)
__pos__() (in module sage.rings.real_number)
__pow__() (in module sage.linalg.matrix)
__pow__() (in module sage.linalg.vector)
__pow__() (in module sage.modular.dirichlet)
__pow__() (in module sage.rings.complex_number)
__pow__() (in module sage.rings.quaternion)
__pow__() (in module sage.rings.real_number)
__radd__() (in module sage.linalg.matrix)
__radd__() (in module sage.modular.modform.modform)
__radd__() (in module sage.rings.complex_number)
__radd__() (in module sage.rings.real_number)
__rdiv__() (in module sage.rings.complex_number)
__rdiv__() (in module sage.rings.real_number)
__reduce__() (in module sage.rings.integer)
__reduce__() (in module sage.rings.rational)
__rmul__() (in module sage.linalg.matrix), [Link]
__rmul__() (in module sage.linalg.vector)
__rmul__() (in module sage.modular.dirichlet)
__rmul__() (in module sage.rings.complex_number)
__rmul__() (in module sage.rings.real_number)
__rsub__() (in module sage.modular.modform.modform)
__rsub__() (in module sage.rings.complex_number)
__rsub__() (in module sage.rings.real_number)
__setitem__() (in module sage.linalg.matrix), [Link], [Link], [Link]
__setitem__() (in module sage.linalg.vector), [Link], [Link]
__str__() (in module sage.linalg.matrix)
__str__() (in module sage.linalg.vector)
__sub__() (in module sage.linalg.matrix)
__sub__() (in module sage.linalg.vector)
__sub__() (in module sage.modular.modform.modform)
__sub__() (in module sage.rings.complex_number)
__sub__() (in module sage.rings.quaternion)
__sub__() (in module sage.rings.real_number)
__sub__() (in module sage.structure.function)

A

a1() (in module sage.ellcurve.ell_generic)
a2() (in module sage.ellcurve.ell_generic)
a3() (in module sage.ellcurve.ell_generic)
a4() (in module sage.ellcurve.ell_generic)
a6() (in module sage.ellcurve.ell_generic)
a_invariants() (in module sage.ellcurve.ell_generic)
add() (in module sage.misc.misc)
add_multiple_of_column() (in module sage.linalg.matrix)
add_multiple_of_row() (in module sage.linalg.matrix)
ainvs() (in module sage.ellcurve.ell_generic)
ainvs() (in module sage.libs.mwrank)
Algebra (class in sage.rings.quatalg), [Link]
Algebra() (in module sage.rings.quatalg)
Algebra_QQ (class in sage.rings.quatalg), [Link]
algebraic_dependence() (in module sage.rings.real_number)
allbsd() (in module sage.tables.cremona)
allcurves() (in module sage.ellcurve.ell_rational_field)
allcurves() (in module sage.tables.cremona)
allgens() (in module sage.tables.cremona)
ambient_space() (in module sage.linalg.vector_space), [Link], [Link]
ambient_space() (in module sage.modular.modform.modform), [Link], [Link]
an() (in module sage.ellcurve.ell_rational_field)
analytic_rank() (in module sage.ellcurve.ell_rational_field)
anlist() (in module sage.ellcurve.ell_rational_field)
ap() (in module sage.ellcurve.ell_rational_field)
arg() (in module sage.misc.functional)
arg() (in module sage.rings.complex_number)
arg() (in module sage.rings.real_number)
argument() (in module sage.rings.complex_number)
assign_names() (in module sage.rings.quatalg)
augment() (in module sage.linalg.matrix)

B

b_invariants() (in module sage.ellcurve.ell_generic)
base_field() (in module sage.ellcurve.ell_generic)
base_field() (in module sage.linalg.vector)
base_field() (in module sage.linalg.vector_space)
base_field() (in module sage.misc.functional)
base_field() (in module sage.modular.modform.modform), [Link]
base_field() (in module sage.rings.quatalg)
base_ring() (in module sage.ellcurve.ell_generic)
base_ring() (in module sage.linalg.matrix)
base_ring() (in module sage.linalg.matrix_space)
base_ring() (in module sage.linalg.vector)
base_ring() (in module sage.linalg.vector_space)
base_ring() (in module sage.misc.functional)
base_ring() (in module sage.modular.dirichlet), [Link]
base_ring() (in module sage.rings.quatalg), [Link]
basis() (in module sage.linalg.matrix_space)
basis() (in module sage.linalg.vector_space), [Link], [Link], [Link]
basis() (in module sage.misc.functional)
basis() (in module sage.modular.modform.modform)
basis() (in module sage.rings.quatalg)
berlekamp() (in module sage.linalg.matrix)
bernoulli() (in module sage.modular.dirichlet)
bin_op() (in module sage.rings.complex_number)
bin_op() (in module sage.rings.quaternion)
block_sum() (in module sage.linalg.matrix)

C

c_invariants() (in module sage.ellcurve.ell_generic)
certain() (in module sage.libs.mwrank)
change_base() (in module sage.modular.dirichlet), [Link]
change_base() (in module sage.modular.modform.modform), [Link], [Link], [Link]
change_base_ring() (in module sage.modular.dirichlet)
change_ring() (in module sage.linalg.matrix)
character() (in module sage.modular.modform.modform), [Link], [Link]
characteristic() (in module sage.misc.functional)
characteristic() (in module sage.rings.complex_field)
characteristic() (in module sage.rings.integer_ring)
characteristic() (in module sage.rings.quatalg)
characteristic() (in module sage.rings.rational_field)
characteristic() (in module sage.rings.real_field)
characteristic() (in module sage.tables.jones)
characteristic_polynomial() (in module sage.rings.quaternion)
charpoly() (in module sage.libs.ntl), [Link]
charpoly() (in module sage.linalg.matrix), [Link], [Link]
charpoly() (in module sage.misc.functional)
charpoly() (in module sage.rings.quaternion)
charpoly() (in module sage.structure.function)
charpoly_mod() (in module sage.libs.ntl)
chi() (in module sage.modular.modform.modform)
clear() (in module sage.libs.ntl)
cmd() (in module sage.interfaces.gap)
cmd() (in module sage.interfaces.singular)
codomain() (in module sage.structure.function)
coefficients() (in module sage.modular.modform.modform)
column_space() (in module sage.linalg.matrix)
columns() (in module sage.linalg.matrix)
commutator() (in module sage.linalg.matrix)
commutator_ideal() (in module sage.rings.quatalg)
complex_area() (in module sage.ellcurve.ell_rational_field)
ComplexField (class in sage.rings.complex_field), [Link]
ComplexField() (in module sage.rings.complex_field)
ComplexNumber (class in sage.rings.complex_number), [Link]
ComplexNumber() (in module sage.rings.complex_number)
composite() (in module sage.rings.quatalg)
compute() (in module sage.modular.modform.modform), [Link]
compute_eisenstein_params() (in module sage.modular.modform.modform)
conductor() (in module sage.ellcurve.ell_rational_field)
conductor() (in module sage.libs.mwrank)
conductor() (in module sage.misc.functional)
conductor() (in module sage.modular.dirichlet)
conductor_range() (in module sage.tables.cremona)
conjugate() (in module sage.rings.complex_number)
conjugate() (in module sage.rings.quatalg)
conjugate() (in module sage.rings.quaternion)
constant_term() (in module sage.libs.ntl)
constants() (in module sage.rings.quatalg)
content() (in module sage.libs.ntl)
ConwayPolynomials (class in sage.tables.conway), [Link]
ConwayPolynomials() (in module sage.tables.conway)
coordinates() (in module sage.linalg.vector_space), [Link]
coordinates() (in module sage.rings.quaternion)
copy() (in module sage.libs.ntl)
copy() (in module sage.linalg.matrix)
copy() (in module sage.linalg.vector)
copy() (in module sage.rings.integer)
copy() (in module sage.rings.rational)
cos() (in module sage.misc.functional)
CPS_bound() (in module sage.libs.mwrank)
CPS_height_bound() (in module sage.ellcurve.ell_rational_field)
cputime() (in module sage.misc.misc)
cremona_label() (in module sage.ellcurve.ell_rational_field)
cremona_letter_code() (in module sage.tables.cremona)
CremonaDatabase() (in module sage.tables.cremona)
crt() (in module sage.rings.integer)
crt_basis() (in module sage.rings.integer_ring)
curves() (in module sage.ellcurve.ell_rational_field)
curves() (in module sage.tables.cremona)
cuspidal_subspace() (in module sage.modular.modform.modform), [Link]
cyclotomic_polynomial() (in module sage.misc.functional)

D

database_curve() (in module sage.ellcurve.ell_rational_field)
decompose() (in module sage.linalg.matrix)
decompose() (in module sage.modular.modform.modform)
decompose() (in module sage.structure.function)
decompose_subspace() (in module sage.linalg.matrix)
decomposition() (in module sage.misc.functional)
decomposition() (in module sage.modular.dirichlet), [Link]
degphi() (in module sage.tables.cremona)
degree() (in module sage.libs.ntl)
degree() (in module sage.linalg.vector)
degree() (in module sage.linalg.vector_space)
degrees() (in module sage.tables.conway)
denom() (in module sage.rings.rational)
denominator() (in module sage.linalg.matrix), [Link]
denominator() (in module sage.linalg.vector), [Link]
denominator() (in module sage.rings.integer)
denominator() (in module sage.rings.rational)
dense_matrix() (in module sage.linalg.matrix)
dense_row() (in module sage.linalg.matrix)
derivative() (in module sage.libs.ntl)
det() (in module sage.linalg.matrix)
det() (in module sage.misc.functional)
determinant() (in module sage.libs.ntl), [Link]
determinant() (in module sage.linalg.matrix)
dict() (in module sage.linalg.matrix), [Link]
dict() (in module sage.linalg.vector), [Link]
dim_cuspidal() (in module sage.modular.modform.modform), [Link]
dim_eisenstein() (in module sage.modular.modform.modform), [Link]
dim_new_cuspidal() (in module sage.modular.modform.modform), [Link]
dim_new_eisenstein() (in module sage.modular.modform.modform), [Link]
dimension() (in module sage.linalg.matrix_space)
dimension() (in module sage.linalg.vector_space), [Link], [Link]
dimension() (in module sage.modular.modform.modform), [Link]
dims() (in module sage.linalg.matrix_space)
DirichletCharacter (class in sage.modular.dirichlet), [Link]
DirichletCharacter() (in module sage.modular.dirichlet)
DirichletGroup (class in sage.modular.dirichlet), [Link]
DirichletGroup() (in module sage.modular.dirichlet)
disc() (in module sage.misc.functional)
discriminant() (in module sage.ellcurve.ell_generic)
discriminant() (in module sage.libs.ntl)
discriminant() (in module sage.misc.functional)
discriminant() (in module sage.rings.quatalg)
division_polynomial() (in module sage.ellcurve.ell_generic)
domain() (in module sage.structure.function)

E

echelon_form() (in module sage.linalg.matrix), [Link], [Link]
echelonized_basis() (in module sage.linalg.vector_space), [Link], [Link], [Link]
eisenstein_params() (in module sage.modular.modform.modform)
eisenstein_series() (in module sage.modular.modform.modform)
eisenstein_subspace() (in module sage.modular.modform.modform), [Link]
EisensteinSeries (class in sage.modular.modform.modform), [Link]
EisensteinSeries() (in module sage.modular.modform.modform)
elliptic_curve() (in module sage.tables.cremona)
elliptic_curve_from_ainvs() (in module sage.tables.cremona)
EllipticCurve() (in module sage.ellcurve.constructor)
EllipticCurve_finite_field (class in sage.ellcurve.ell_finite_field), [Link]
EllipticCurve_finite_field() (in module sage.ellcurve.ell_finite_field)
EllipticCurve_generic (class in sage.ellcurve.ell_generic), [Link]
EllipticCurve_generic() (in module sage.ellcurve.ell_generic)
EllipticCurve_rational_field (class in sage.ellcurve.ell_rational_field), [Link]
EllipticCurve_rational_field() (in module sage.ellcurve.ell_rational_field)
embedded_subspace() (in module sage.modular.modform.modform)
entries() (in module sage.linalg.matrix), [Link], [Link], [Link]
entries() (in module sage.linalg.vector), [Link], [Link]
euler_constant() (in module sage.rings.real_field)
eval_modular_form() (in module sage.ellcurve.ell_rational_field)
exists() (in module sage.misc.misc)
exp() (in module sage.misc.functional)
exp() (in module sage.rings.complex_number)
extend() (in module sage.modular.dirichlet)

F

factor() (in module sage.misc.functional)
factor() (in module sage.rings.integer)
factor() (in module sage.rings.integer_ring)
factor() (in module sage.rings.rational)
factor() (in module sage.rings.rational_field)
fcp() (in module sage.linalg.matrix)
fcp() (in module sage.structure.function)
forall() (in module sage.misc.misc)
formal_group() (in module sage.ellcurve.ell_rational_field)
formal_inverse() (in module sage.ellcurve.ell_rational_field)
formal_log() (in module sage.ellcurve.ell_rational_field)
formal_mult() (in module sage.ellcurve.ell_rational_field)
formal_n_isogeny() (in module sage.ellcurve.ell_rational_field)
formal_w() (in module sage.ellcurve.ell_rational_field)
formal_x() (in module sage.ellcurve.ell_rational_field)
formal_y() (in module sage.ellcurve.ell_rational_field)
frac() (in module sage.rings.rational_field)
Function (class in sage.structure.function), [Link]
Function() (in module sage.structure.function)

G

galois_orbits() (in module sage.modular.dirichlet)
GAP (class in sage.interfaces.gap), [Link]
GAP() (in module sage.interfaces.gap)
gcd() (in module sage.libs.ntl)
gcd() (in module sage.rings.integer)
gen() (in module sage.linalg.matrix_space)
gen() (in module sage.linalg.vector_space)
gen() (in module sage.misc.functional)
gen() (in module sage.modular.dirichlet)
gen() (in module sage.pari.py_pari)
gen() (in module sage.rings.complex_field)
gen() (in module sage.rings.quatalg)
gen() (in module sage.rings.rational_field)
generators() (in module sage.linalg.vector_space)
gens() (in module sage.ellcurve.ell_generic)
gens() (in module sage.ellcurve.ell_rational_field)
gens() (in module sage.libs.mwrank)
gens() (in module sage.misc.functional)
gens() (in module sage.modular.dirichlet)
get() (in module sage.linalg.matrix), [Link]
get() (in module sage.linalg.vector), [Link]
get_verbose() (in module sage.misc.misc)
gram_matrix() (in module sage.rings.quatalg)
group() (in module sage.modular.modform.modform)

H

has_character() (in module sage.modular.modform.modform)
has_cm() (in module sage.ellcurve.ell_rational_field)
has_polynomial() (in module sage.tables.conway)
hecke_matrix() (in module sage.modular.modform.modform)
hecke_operator() (in module sage.misc.functional)
heegner_discriminants() (in module sage.ellcurve.ell_rational_field)
heegner_discriminants_list() (in module sage.ellcurve.ell_rational_field)
heegner_index() (in module sage.ellcurve.ell_rational_field)
heegner_index_bound() (in module sage.ellcurve.ell_rational_field)
heegner_point_height() (in module sage.ellcurve.ell_rational_field)
height() (in module sage.linalg.matrix)
height() (in module sage.linalg.vector)
height() (in module sage.rings.rational)
hermite_form() (in module sage.linalg.matrix)
hessenberg_form() (in module sage.linalg.matrix), [Link], [Link], [Link]
HNF() (in module sage.libs.ntl), [Link]

I

Ideal (class in sage.rings.quatalg), [Link]
Ideal() (in module sage.rings.quatalg)
Ideal_QQ (class in sage.rings.quatalg), [Link]
identity_matrix() (in module sage.linalg.matrix_space)
imag() (in module sage.misc.functional)
imag() (in module sage.rings.complex_number)
imag() (in module sage.rings.real_number)
image() (in module sage.linalg.matrix)
image() (in module sage.misc.functional)
Integer (class in sage.rings.integer), [Link]
IntegerRing (class in sage.rings.integer_ring), [Link]
IntegerRing (class in sage.tables.jones), [Link]
IntegerRing() (in module sage.rings.integer_ring)
IntegerRing() (in module sage.tables.jones)
integers_mod() (in module sage.modular.dirichlet)
intersect() (in module sage.modular.modform.modform)
intersection() (in module sage.rings.quatalg)
inverse_mod() (in module sage.rings.integer)
invert_and_truncate() (in module sage.libs.ntl)
is_ambient() (in module sage.linalg.vector_space), [Link], [Link]
is_ambient() (in module sage.modular.modform.modform), [Link], [Link]
is_atomic_repr() (in module sage.misc.functional)
is_atomic_repr() (in module sage.rings.integer_ring)
is_atomic_repr() (in module sage.rings.quatalg)
is_atomic_repr() (in module sage.rings.rational_field)
is_atomic_repr() (in module sage.rings.real_field)
is_atomic_repr() (in module sage.tables.jones)
is_definite() (in module sage.rings.quatalg), [Link]
is_dense() (in module sage.linalg.matrix)
is_dense() (in module sage.linalg.matrix_space)
is_dense() (in module sage.linalg.vector)
is_dense() (in module sage.linalg.vector_space)
is_endomorphism() (in module sage.structure.function)
is_even() (in module sage.misc.functional)
is_even() (in module sage.modular.dirichlet)
is_field() (in module sage.misc.functional)
is_field() (in module sage.rings.complex_field)
is_field() (in module sage.rings.integer_ring)
is_field() (in module sage.rings.quatalg)
is_field() (in module sage.rings.rational_field)
is_field() (in module sage.rings.real_field)
is_field() (in module sage.tables.jones)
is_full() (in module sage.linalg.vector_space)
is_indefinite() (in module sage.rings.quatalg)
is_integral() (in module sage.ellcurve.ell_rational_field)
is_invertible() (in module sage.linalg.matrix)
is_isomorphic() (in module sage.rings.quatalg), [Link]
is_left_isomorphic() (in module sage.rings.quatalg)
is_matrix() (in module sage.linalg.matrix)
is_minimal() (in module sage.ellcurve.ell_rational_field)
is_monic() (in module sage.libs.ntl)
is_odd() (in module sage.misc.functional)
is_odd() (in module sage.modular.dirichlet)
is_on_curve() (in module sage.ellcurve.ell_generic)
is_one() (in module sage.libs.ntl)
is_one() (in module sage.rings.integer)
is_optimal_id() (in module sage.tables.cremona)
is_right_isomorphic() (in module sage.rings.quatalg)
is_semistable() (in module sage.ellcurve.ell_rational_field)
is_sparse() (in module sage.linalg.matrix)
is_sparse() (in module sage.linalg.matrix_space)
is_sparse() (in module sage.linalg.vector)
is_sparse() (in module sage.linalg.vector_space)
is_square() (in module sage.linalg.matrix)
is_square() (in module sage.rings.integer)
is_square_free() (in module sage.rings.integer)
is_surjective() (in module sage.ellcurve.ell_rational_field)
is_trivial() (in module sage.modular.dirichlet)
is_vector() (in module sage.linalg.vector)
is_x() (in module sage.libs.ntl)
is_zero() (in module sage.libs.ntl)
is_zero() (in module sage.modular.modform.modform)
is_zero() (in module sage.rings.integer)
isogeny_class() (in module sage.ellcurve.ell_rational_field)
isogeny_class() (in module sage.tables.cremona)
isogeny_classes() (in module sage.tables.cremona)
isomorphism() (in module sage.rings.quatalg)
isqrt() (in module sage.misc.functional)
isqrt() (in module sage.rings.integer)
iter() (in module sage.tables.cremona)
iter_optimal() (in module sage.tables.cremona)
iterates() (in module sage.linalg.matrix), [Link]

J

j_invariant() (in module sage.ellcurve.ell_generic)
j_invariant() (in module sage.misc.functional)
JonesDatabase (class in sage.tables.jones), [Link]
JonesDatabase() (in module sage.tables.jones)

K

kernel() (in module sage.linalg.matrix)
kernel() (in module sage.misc.functional)
kernel() (in module sage.structure.function)
key() (in module sage.modular.modform.modform)
kodaira_type() (in module sage.ellcurve.ell_rational_field)

L

L() (in module sage.modular.modform.modform)
L1_vanishes() (in module sage.ellcurve.ell_rational_field)
L_ratio() (in module sage.ellcurve.ell_rational_field)
Lambda() (in module sage.ellcurve.ell_rational_field)
LargeCremonaDatabase (class in sage.tables.cremona), [Link]
LargeCremonaDatabase() (in module sage.tables.cremona)
largest_conductor() (in module sage.tables.cremona)
latex() (in module sage.ellcurve.ell_generic)
latex() (in module sage.linalg.matrix)
latex() (in module sage.misc.functional)
Lattice (class in sage.rings.quatalg), [Link]
Lattice() (in module sage.rings.quatalg)
Lattice_QQ (class in sage.rings.quatalg), [Link]
lcm() (in module sage.rings.integer)
leading_coefficient() (in module sage.libs.ntl)
left_ideal() (in module sage.rings.quatalg)
left_ideal_classes() (in module sage.rings.quatalg)
left_isomorphism() (in module sage.rings.quatalg)
left_order() (in module sage.rings.quatalg)
left_shift() (in module sage.libs.ntl)
level() (in module sage.modular.modform.modform), [Link]
level() (in module sage.rings.quatalg)
level_at_which_new() (in module sage.modular.modform.modform)
linalg_matrix() (in module sage.linalg.matrix)
linear_combination_of_rows() (in module sage.linalg.matrix)
list() (in module sage.linalg.matrix), [Link], [Link]
list() (in module sage.linalg.vector), [Link]
list() (in module sage.tables.cremona)
log() (in module sage.misc.functional)
log() (in module sage.rings.complex_number)
log() (in module sage.rings.real_number)
Lseries() (in module sage.ellcurve.ell_rational_field)
Lseries_at1() (in module sage.ellcurve.ell_rational_field)
Lseries_deriv_at1() (in module sage.ellcurve.ell_rational_field)
Lseries_extended() (in module sage.ellcurve.ell_rational_field)

M

M() (in module sage.modular.modform.modform)
mat_ZZ (class in sage.libs.ntl), [Link]
mat_ZZ_class (class in sage.libs.ntl), [Link]
Matrix (class in sage.linalg.matrix), [Link]
Matrix() (in module sage.linalg.matrix)
matrix() (in module sage.linalg.matrix_space)
matrix() (in module sage.linalg.vector_space)
matrix() (in module sage.structure.function)
Matrix_generic_dense (class in sage.linalg.matrix), [Link]
Matrix_generic_dense() (in module sage.linalg.matrix)
Matrix_generic_sparse (class in sage.linalg.matrix), [Link]
Matrix_generic_sparse() (in module sage.linalg.matrix)
Matrix_rational_dense (class in sage.linalg.matrix), [Link]
Matrix_rational_dense() (in module sage.linalg.matrix)
Matrix_rational_sparse (class in sage.linalg.matrix), [Link]
Matrix_rational_sparse() (in module sage.linalg.matrix)
matrix_space() (in module sage.linalg.matrix)
matrix_space() (in module sage.linalg.matrix_space)
MatrixFunction (class in sage.structure.function), [Link]
MatrixFunction() (in module sage.structure.function)
MatrixSpace (class in sage.linalg.matrix_space), [Link]
MatrixSpace() (in module sage.linalg.matrix_space)
maximal_order() (in module sage.rings.quatalg)
maximize_base_ring() (in module sage.modular.dirichlet)
maxspin() (in module sage.linalg.matrix)
MiniCremonaDatabase (class in sage.tables.cremona), [Link]
MiniCremonaDatabase() (in module sage.tables.cremona)
minimal_model() (in module sage.ellcurve.ell_rational_field)
minimal_polynomial() (in module sage.rings.quaternion)
minimize_base_ring() (in module sage.modular.dirichlet)
minpoly() (in module sage.rings.quaternion)
minpoly_mod_noproof() (in module sage.libs.ntl)
mod_ui() (in module sage.rings.rational)
modular_degree() (in module sage.ellcurve.ell_rational_field)
modular_parametrization() (in module sage.ellcurve.ell_rational_field)
modular_symbols() (in module sage.modular.modform.modform), [Link], [Link]
ModularFormElement (class in sage.modular.modform.modform), [Link]
ModularFormElement() (in module sage.modular.modform.modform)
ModularForms (class in sage.modular.modform.modform), [Link]
ModularForms() (in module sage.modular.modform.modform)
ModularFormsSpace (class in sage.modular.modform.modform), [Link]
ModularFormsSpace() (in module sage.modular.modform.modform)
ModularFormsSubspace (class in sage.modular.modform.modform), [Link]
ModularFormsSubspace() (in module sage.modular.modform.modform)
ModularFormsWithCharacter (class in sage.modular.modform.modform), [Link]
ModularFormsWithCharacter() (in module sage.modular.modform.modform)
ModularSymbols() (in module sage.modular.modsym.modsym)
modulus() (in module sage.modular.dirichlet), [Link]
mul() (in module sage.misc.misc)
multiply_and_truncate() (in module sage.libs.ntl)
multiply_mod() (in module sage.libs.ntl)
mwrank_curve() (in module sage.ellcurve.ell_rational_field)
mwrank_EllipticCurve (class in sage.libs.mwrank), [Link]
mwrank_EllipticCurve() (in module sage.libs.mwrank)
mwrank_MordellWeil (class in sage.libs.mwrank), [Link]
mwrank_MordellWeil() (in module sage.libs.mwrank)

N

name() (in module sage.misc.functional)
name() (in module sage.rings.complex_field)
name() (in module sage.rings.integer_ring)
name() (in module sage.rings.quatalg)
name() (in module sage.rings.rational_field)
name() (in module sage.rings.real_field)
name() (in module sage.structure.function)
name() (in module sage.tables.jones)
names() (in module sage.rings.quatalg)
ncols() (in module sage.libs.ntl), [Link]
ncols() (in module sage.linalg.matrix)
ncols() (in module sage.linalg.matrix_space)
new_matrix() (in module sage.linalg.matrix)
new_subspace() (in module sage.modular.modform.modform)
newform() (in module sage.ellcurve.ell_rational_field)
newspaces() (in module sage.modular.modform.modform)
ngens() (in module sage.ellcurve.ell_rational_field)
ngens() (in module sage.linalg.matrix_space)
ngens() (in module sage.linalg.vector_space)
ngens() (in module sage.misc.functional), [Link]
ngens() (in module sage.modular.dirichlet)
ngens() (in module sage.rings.complex_field)
ngens() (in module sage.rings.quatalg)
ngens() (in module sage.rings.rational_field)
non_surjective() (in module sage.ellcurve.ell_rational_field)
nonpivots() (in module sage.linalg.matrix)
nonzero_positions() (in module sage.linalg.matrix), [Link]
nonzero_positions() (in module sage.linalg.vector), [Link]
nonzero_positions_in_column() (in module sage.linalg.matrix)
nonzero_positions_in_row() (in module sage.linalg.matrix)
norm() (in module sage.misc.functional)
norm() (in module sage.rings.complex_number)
norm() (in module sage.rings.quatalg)
norm() (in module sage.rings.quaternion)
norm_mod() (in module sage.libs.ntl)
Np() (in module sage.ellcurve.ell_rational_field)
nrows() (in module sage.libs.ntl), [Link]
nrows() (in module sage.linalg.matrix)
nrows() (in module sage.linalg.matrix_space)
nullity() (in module sage.linalg.matrix)
number_of_curves() (in module sage.tables.cremona)
number_of_isogeny_classes() (in module sage.tables.cremona)
numer() (in module sage.rings.rational)
numerator() (in module sage.rings.rational)

O

omega() (in module sage.ellcurve.ell_rational_field)
one() (in module sage.misc.functional)
optimal_curves() (in module sage.ellcurve.ell_rational_field)
Order (class in sage.rings.quatalg), [Link]
order() (in module sage.misc.functional)
order() (in module sage.modular.dirichlet), [Link]
order() (in module sage.rings.complex_number)
Order() (in module sage.rings.quatalg)
order() (in module sage.rings.rational)
order() (in module sage.rings.real_number)
Order_QQ (class in sage.rings.quatalg), [Link]

P

padic_sigma() (in module sage.ellcurve.ell_rational_field)
parent() (in module sage.linalg.matrix)
parent() (in module sage.linalg.vector)
parent() (in module sage.misc.functional)
parent() (in module sage.modular.dirichlet)
parent() (in module sage.modular.modform.modform)
parent() (in module sage.rings.integer)
parent() (in module sage.rings.rational)
pari() (in module sage.linalg.matrix)
pari() (in module sage.pari.py_pari)
pari() (in module sage.rings.complex_number)
pari() (in module sage.rings.integer)
pari_curve() (in module sage.ellcurve.ell_rational_field)
pari_mincurve() (in module sage.ellcurve.ell_rational_field)
pari_object() (in module sage.rings.real_number)
parse_cremona_label() (in module sage.tables.cremona)
period_lattice() (in module sage.ellcurve.ell_rational_field)
pi() (in module sage.rings.real_field)
pivots() (in module sage.linalg.matrix), [Link], [Link]
point_search() (in module sage.ellcurve.ell_rational_field)
points() (in module sage.ellcurve.ell_finite_field)
points() (in module sage.libs.mwrank)
polynomial() (in module sage.tables.conway)
PolynomialRing() (in module sage.misc.functional)
powermod() (in module sage.rings.integer)
powermodm_ui() (in module sage.rings.integer)
powerset() (in module sage.misc.misc)
preallocate_space() (in module sage.libs.ntl)
prec() (in module sage.modular.modform.modform), [Link]
prec() (in module sage.rings.complex_number)
prec() (in module sage.rings.real_number), [Link], [Link]
prime_ideal() (in module sage.rings.quatalg)
primes() (in module sage.tables.conway)
primitive_character() (in module sage.modular.dirichlet)
primitive_part() (in module sage.libs.ntl)
process() (in module sage.libs.mwrank)
prod() (in module sage.misc.misc)
pseudo_quo_rem() (in module sage.libs.ntl)
psi() (in module sage.modular.modform.modform)

Q

qexp() (in module sage.modular.modform.modform), [Link]
quadratic_twist() (in module sage.ellcurve.ell_generic)
quadratic_twist() (in module sage.ellcurve.ell_rational_field)
Quaternion (class in sage.rings.quaternion), [Link]
Quaternion() (in module sage.rings.quaternion)
quaternion_order() (in module sage.rings.quatalg)
QuaternionAlgebra() (in module sage.rings.quatalg)
QuaternionAlgebraRamifiedAt() (in module sage.rings.quatalg)
QuaternionAlgebraWithDiscs() (in module sage.rings.quatalg)
QuaternionOrder_RamifiedAt() (in module sage.rings.quatalg)
QuaternionOrderWithDiss() (in module sage.rings.quatalg)
quo_rem() (in module sage.libs.ntl)

R

ramified_at() (in module sage.tables.jones)
ramified_primes() (in module sage.rings.quatalg)
random() (in module sage.linalg.matrix_space)
random() (in module sage.linalg.vector_space)
random() (in module sage.misc.functional)
random() (in module sage.rings.integer_ring)
random() (in module sage.rings.quatalg)
random() (in module sage.rings.rational_field)
random() (in module sage.tables.cremona)
random() (in module sage.tables.jones)
random_element() (in module sage.linalg.matrix_space)
random_element() (in module sage.linalg.vector_space)
random_sublist() (in module sage.misc.misc)
rank() (in module sage.ellcurve.ell_rational_field)
rank() (in module sage.libs.mwrank), [Link]
rank() (in module sage.linalg.matrix)
rank() (in module sage.misc.functional)
Rational (class in sage.rings.rational), [Link]
rational_decomposition() (in module sage.linalg.matrix)
rational_reconstruction() (in module sage.linalg.matrix)
rational_reconstruction() (in module sage.linalg.vector)
RationalField (class in sage.misc.functional), [Link]
RationalField (class in sage.rings.rational_field), [Link]
RationalField() (in module sage.misc.functional)
RationalField() (in module sage.rings.rational_field)
real() (in module sage.misc.functional)
real() (in module sage.rings.complex_number)
real() (in module sage.rings.real_number)
real_components() (in module sage.ellcurve.ell_rational_field)
RealField (class in sage.rings.real_field), [Link]
RealField() (in module sage.rings.real_field)
RealField_decimal (class in sage.rings.real_field), [Link]
RealField_decimal() (in module sage.rings.real_field)
RealField_mpf (class in sage.rings.real_field), [Link]
RealField_mpf() (in module sage.rings.real_field)
RealNumber (class in sage.rings.real_number), [Link]
RealNumber() (in module sage.rings.real_number)
RealNumber_decimal (class in sage.rings.real_number), [Link]
RealNumber_decimal() (in module sage.rings.real_number)
RealNumber_mpf (class in sage.rings.real_number), [Link]
RealNumber_mpf() (in module sage.rings.real_number)
rebuild() (in module sage.tables.cremona)
reduced_basis() (in module sage.rings.quatalg)
reduced_gram_matrix() (in module sage.rings.quatalg)
regulator() (in module sage.ellcurve.ell_rational_field)
regulator() (in module sage.libs.mwrank), [Link]
regulator() (in module sage.misc.functional)
rescale_row() (in module sage.linalg.matrix)
restart() (in module sage.interfaces.gap)
restart() (in module sage.interfaces.singular)
restrict() (in module sage.linalg.matrix)
restrict() (in module sage.modular.dirichlet)
restrict_domain() (in module sage.structure.function)
resultant() (in module sage.libs.ntl)
reverse() (in module sage.libs.ntl)
right_ideal() (in module sage.rings.quatalg)
right_ideal_classes() (in module sage.rings.quatalg)
right_isomorphism() (in module sage.rings.quatalg)
right_order() (in module sage.rings.quatalg)
right_shift() (in module sage.libs.ntl)
root_number() (in module sage.ellcurve.ell_rational_field)
row() (in module sage.linalg.matrix)
row_space() (in module sage.linalg.matrix)
rows() (in module sage.linalg.matrix)

S

sage.ellcurve.constructor (module)
sage.ellcurve.ell_finite_field (module)
sage.ellcurve.ell_generic (module)
sage.ellcurve.ell_rational_field (module)
sage.interfaces.gap (module)
sage.interfaces.singular (module)
sage.libs.mwrank (module)
sage.libs.ntl (module)
sage.linalg.matrix (module)
sage.linalg.matrix_space (module)
sage.linalg.vector (module)
sage.linalg.vector_space (module)
sage.misc.functional (module)
sage.misc.misc (module)
sage.modular.dirichlet (module)
sage.modular.modform.modform (module)
sage.modular.modsym.modsym (module)
sage.pari.py_pari (module)
sage.rings.complex_field (module)
sage.rings.complex_number (module)
sage.rings.integer (module)
sage.rings.integer_ring (module)
sage.rings.quatalg (module)
sage.rings.quaternion (module)
sage.rings.rational (module)
sage.rings.rational_field (module)
sage.rings.real_field (module)
sage.rings.real_number (module)
sage.structure.function (module)
sage.tables.conway (module)
sage.tables.cremona (module)
sage.tables.jones (module)
satisfies_heegner_hypothesis() (in module sage.ellcurve.ell_rational_field)
saturate() (in module sage.libs.mwrank), [Link]
saturation() (in module sage.ellcurve.ell_rational_field)
search() (in module sage.libs.mwrank)
selmer_rank_bound() (in module sage.ellcurve.ell_rational_field)
selmer_rank_bound() (in module sage.libs.mwrank)
set() (in module sage.linalg.matrix), [Link]
set() (in module sage.linalg.vector), [Link]
set_gens() (in module sage.rings.quatalg)
set_precision() (in module sage.libs.mwrank)
set_si() (in module sage.rings.integer)
set_si() (in module sage.rings.rational)
set_str() (in module sage.rings.integer)
set_str() (in module sage.rings.rational)
set_verbose() (in module sage.libs.mwrank)
set_verbose() (in module sage.misc.misc)
set_x() (in module sage.libs.ntl)
sha_an() (in module sage.ellcurve.ell_rational_field)
shabound() (in module sage.ellcurve.ell_rational_field)
shabound_kato() (in module sage.ellcurve.ell_rational_field)
shabound_kolyvagin() (in module sage.ellcurve.ell_rational_field)
sigma() (in module sage.ellcurve.ell_rational_field)
sign() (in module sage.rings.real_number)
silverman_bound() (in module sage.libs.mwrank)
silverman_height_bound() (in module sage.ellcurve.ell_rational_field)
sin() (in module sage.misc.functional)
SING (class in sage.interfaces.singular), [Link]
SING() (in module sage.interfaces.singular)
smallest_conductor() (in module sage.tables.cremona)
smith_normal_form() (in module sage.linalg.matrix)
sourcefile() (in module sage.misc.misc)
sparse_columns() (in module sage.linalg.matrix), [Link]
sparse_matrix() (in module sage.linalg.matrix)
sparse_rows() (in module sage.linalg.matrix), [Link]
sqrt() (in module sage.misc.functional)
sqrt() (in module sage.rings.complex_number)
sqrt() (in module sage.rings.integer)
sqrt() (in module sage.rings.real_number)
square() (in module sage.libs.ntl)
square_and_truncate() (in module sage.libs.ntl)
stack() (in module sage.linalg.matrix)
str() (in module sage.rings.integer)
str() (in module sage.rings.rational)
str_latex() (in module sage.linalg.matrix)
str_latex() (in module sage.linalg.vector)
str_sparse_latex() (in module sage.linalg.matrix)
sturm_bound() (in module sage.modular.modform.modform)
submatrix_from_columns() (in module sage.linalg.matrix), [Link]
submatrix_from_rows() (in module sage.linalg.matrix), [Link]
subspace() (in module sage.linalg.vector_space)
subspace_with_basis() (in module sage.linalg.vector_space)
swap_columns() (in module sage.linalg.matrix)
swap_rows() (in module sage.linalg.matrix), [Link]

T

t() (in module sage.modular.modform.modform)
tamagawa_number() (in module sage.ellcurve.ell_rational_field)
tamagawa_product() (in module sage.ellcurve.ell_rational_field)
tan() (in module sage.misc.functional)
torsion_order() (in module sage.ellcurve.ell_rational_field)
torsion_polynomial() (in module sage.ellcurve.ell_generic)
torsion_subgroup() (in module sage.ellcurve.ell_rational_field)
trace() (in module sage.linalg.matrix)
trace() (in module sage.rings.quaternion)
trace_list() (in module sage.libs.ntl)
trace_mod() (in module sage.libs.ntl)
transpose() (in module sage.linalg.matrix), [Link]
TrivialCharacter() (in module sage.modular.dirichlet)
truncate() (in module sage.libs.ntl)
two_descent() (in module sage.ellcurve.ell_rational_field)
two_descent() (in module sage.libs.mwrank)
two_selmer_shabound() (in module sage.ellcurve.ell_rational_field)
two_sided_ideal_classes() (in module sage.rings.quatalg)
two_torsion_rank() (in module sage.ellcurve.ell_rational_field)
typecheck() (in module sage.rings.quaternion)

U

union() (in module sage.misc.misc)
uniq() (in module sage.misc.misc)
unit_gens() (in module sage.modular.dirichlet)
unit_group() (in module sage.rings.quatalg)
units() (in module sage.rings.quatalg)
unramified_outside() (in module sage.tables.jones)
user_basis() (in module sage.linalg.vector_space)

V

valuation() (in module sage.modular.modform.modform)
values() (in module sage.modular.dirichlet)
values_on_gens() (in module sage.modular.dirichlet)
Vector (class in sage.linalg.vector), [Link]
Vector() (in module sage.linalg.vector)
vector() (in module sage.linalg.vector_space)
vector() (in module sage.rings.quaternion)
Vector_generic_dense (class in sage.linalg.vector), [Link]
Vector_generic_dense() (in module sage.linalg.vector)
Vector_generic_sparse (class in sage.linalg.vector), [Link]
Vector_generic_sparse() (in module sage.linalg.vector)
vector_matrix_multiply() (in module sage.linalg.matrix)
vector_space() (in module sage.linalg.vector_space)
vector_space() (in module sage.modular.modform.modform), [Link]
vector_space() (in module sage.rings.quatalg)
VectorSpace (class in sage.linalg.vector_space), [Link]
VectorSpace() (in module sage.linalg.vector_space)
VectorSpace_ambient (class in sage.linalg.vector_space), [Link]
VectorSpace_ambient() (in module sage.linalg.vector_space)
VectorSpace_generic (class in sage.linalg.vector_space), [Link]
VectorSpace_generic() (in module sage.linalg.vector_space)
VectorSpace_subspace (class in sage.linalg.vector_space), [Link]
VectorSpace_subspace() (in module sage.linalg.vector_space)
VectorSpace_subspace_with_basis (class in sage.linalg.vector_space), [Link]
VectorSpace_subspace_with_basis() (in module sage.linalg.vector_space)
verbose() (in module sage.misc.misc)
version() (in module sage.misc.misc)

W

watkins_data() (in module sage.ellcurve.ell_rational_field)
weidemann() (in module sage.linalg.matrix)
weierstrass_model() (in module sage.ellcurve.ell_generic)
weight() (in module sage.modular.modform.modform), [Link]

X

xgcd() (in module sage.libs.ntl)
xgcd() (in module sage.rings.integer)

Z

zero() (in module sage.misc.functional)
zero_vector() (in module sage.linalg.vector_space)
zeta() (in module sage.misc.functional)
zeta() (in module sage.modular.dirichlet)
zeta() (in module sage.rings.integer_ring)
zeta() (in module sage.rings.rational_field)
zeta() (in module sage.tables.jones)
zeta_order() (in module sage.modular.dirichlet)
ZZ_class (class in sage.libs.ntl), [Link]
ZZX_class (class in sage.libs.ntl), [Link]

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