AbsAffineAlgebraicSet
AbsAffineRationalPoint
AbsAffineScheme
AbsAffineSchemeMor
AbsAffineVariety
AbsAlgebraicCycle
AbsCoveredScheme
AbsGluing
AbsIdealSheaf
AbsNumFieldOrder
AbsPreSheaf
AbsProjectiveAlgebraicSet
AbsProjectiveRationalPoint
AbsProjectiveVariety
AbsWeilDivisor
AffinePlaneCurve
AffineRationalPoint
AffineScheme
AffineSchemeMor
Array
Array
BasicGAPGroupElem
CartierDivisor
CompositeCoveredSchemeMorphism
CoveredClosedEmbedding
CoveredScheme
CoveredScheme
Covering
Covering
CoveringMorphism
Dedent
DirectProductGroup
DirectSumSheaf
DualRootSpaceElem
DualRootSpaceElem
EffectiveCartierDivisor
EllipticSurface
FPGroup
FPGroupElem
Fac
FacElem
FacElem
FinGenAbGroup
FinGenAbGroup
GAPGroup
GAPGroupCharacterTable
GAPGroupTableOfMarks
Gluing
Gluing
Graph
GroupConjClass
GroupCoset
GroupDoubleCoset
HomSheaf
IdealSheaf
IncidenceMatrix
Indent
K3Chamber
LinearSystem
Lowercase
LowercaseOff
MPolyBuildCtx
MSet
Matrix
Matrix
MatrixGroup
MatrixGroupElem
Matroid
MorphismFromRationalFunctions
Partition
PartitionedPermutation
PcGroup
PcGroupElem
Perm
PermGroup
PermGroupElem
Polyhedron
PreSheafOnScheme
PrimeIdealSheafFromChart
ProductIdealSheaf
ProjectiveCurve
ProjectivePlaneCurve
ProjectiveRationalPoint
ProjectiveSchemeMor
PullbackIdealSheaf
PullbackSheaf
PushforwardSheaf
QuadSpaceWithIsom
RadicalOfIdealSheaf
RootSpaceElem
RootSpaceElem
RootSpaceElem
Scheme
SchemeMor
SemidirectProductGroup
SesquilinearForm
SheafOfModules
SimpleGluing
SimplifiedIdealSheaf
SingularLocusIdealSheaf
SkewDiagram
StructureSheafOfRings
SubFPGroup
SubFPGroupElem
SumIdealSheaf
SymmetricGroup
TorQuadModule
ToricIdealSheafFromCoxRingIdeal
UpgradeScript
Vector
Vector
WeightLatticeElem
WeightLatticeElem
WeightLatticeElem
WeightLatticeElem
WeightLatticeElem
WreathProductGroup
YoungTableau
ZZGenus
ZZLatWithIsom
ZZLocalGenus
ZZMatrix
ZZMatrix
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
+
+
+
+
+
+
+
+
+
+
-
-
<
<<
<<
<<
<=
==
==
==
==
==
==
==
==
==
==
==
==
==
==
>>
>>
>>
ADE_type
EquationOrder
GF
GF
K3_surface_automorphism_group
MN1inner
MaximalOrder
MaximalOrder
ModuleHomomorphism
ModuleIsomorphism
O
O
O
O
O
O
OO
Order
Order
Order
R10_matroid
SIM_body_polytope
^
^
^
^
^
^
_numpart
a_invariants
abelian_closure
abelian_d10_pi6
abelian_d15_pi21_quintic_1
abelian_d15_pi21_quintic_3
abelian_group
abelian_group
abelian_group
abelian_group
abelian_group
abelian_group
abelian_group
abelian_groups
abelian_invariants
abelian_invariants_schur_multiplier
abelian_lie_algebra
abs
abs
abs2
absolute_basis
absolute_basis
absolute_basis_matrix
absolute_charpoly
absolute_coordinates
absolute_degree
absolute_degree
absolute_discriminant
absolute_minpoly
absolute_norm
absolute_norm
absolute_norm
absolute_primary_decomposition
absolute_primitive_element
absolute_simple_field
absolute_tr
absolute_tr
absolute_tr
abstract_bundle
abstract_flag_bundle
abstract_flag_variety
abstract_grassmannian
abstract_hirzebruch_surface
abstract_module
abstract_module
abstract_point
abstract_projective_bundle
abstract_projective_space
abstract_variety
accuracy_bits
accuracy_bits
accuracy_bits
accuracy_bits
acos
acospi
acting_group
acting_group
acting_group
acting_subgroup
acting_subgroup
action_function
action_homomorphism
add!
add_assertion_scope
add_column
add_column!
add_edge!
add_error!
add_error!
add_gluing!
add_resolution
add_row
add_row!
add_scaled_col!
add_scaled_row
add_scaled_row
add_scaled_row!
add_verbosity_scope
add_vertex!
add_vertices!
addmul!
adjacency_matrix
adjacency_tree
adjacent_chamber
adjoint_ideal
adjunction_process
adjusted_length
admissible_equivariant_primitive_extensions
admissible_triples
affine_algebra
affine_algebra
affine_charts
affine_charts
affine_cone
affine_geometry
affine_halfspace
affine_hull
affine_hyperplane
affine_normal_toric_variety
affine_normal_toric_variety
affine_open_covering
affine_phylogenetic_model!
affine_space
affine_space
affine_space
agm
agm
agm
agm
agm
agm
airy_ai
airy_ai
airy_ai
airy_ai
airy_ai_prime
airy_ai_prime
airy_ai_prime
airy_ai_prime
airy_bi
airy_bi
airy_bi
airy_bi
airy_bi_prime
airy_bi_prime
airy_bi_prime
airy_bi_prime
alexander_dual
algebraic_closure
algebraic_cycle
algebraic_cycle
algebraic_cycle
algebraic_ideal
algebraic_lattice
algebraic_lattice_primitive_closure
algebraic_lattice_primitive_closure!
algebraic_matrix
algebraic_pluecker_vector
algebraic_polynomial
algebraic_set
algebraic_set
algebraic_set
algebraic_set
algebraic_set
algebraic_set
algebraic_split
all_atlas_group_infos
all_blocks
all_character_table_names
all_cohomologies
all_neighbors
all_od_infos
all_perfect_groups
all_primitive_groups
all_small_groups
all_subsets_matroid
all_table_of_marks_names
all_transitive_groups
all_triangulations
alternating_form
alternating_group
ambient_coordinate_ring
ambient_dim
ambient_dim
ambient_dim
ambient_dim
ambient_dim
ambient_dim
ambient_dim
ambient_dim
ambient_embedding
ambient_isometry
ambient_ring
ambient_scheme
ambient_scheme
ambient_scheme
ambient_space
ambient_space
ambient_space
ambient_space
ambient_space
ambient_space
ambient_space_models_of_g4_fluxes
analyze_fibers
angle
annihilator
anti_symmetric_parts
anticanonical_bundle
anticanonical_divisor
anticanonical_divisor_class
any_order
approximate_class_fusion
archimedean_solid
arithmetic_genus
arrangement_polynomial
arxiv_doi
arxiv_id
arxiv_link
arxiv_model_equation_number
arxiv_model_page
arxiv_model_section
arxiv_version
ascending_compositions
asin
asinpi
associahedron
associated_literature_models
atan
atan2
atan2
atanpi
atlas_description
atlas_group
atlas_irrationality
atlas_subgroup
augmented_chow_ring
aut
automorphism_group
automorphism_group
automorphism_group
automorphism_group
automorphism_group
automorphism_group
automorphism_group_generators
automorphism_group_generators
automorphism_group_generators
automorphism_group_generators
automorphism_group_generators
automorphism_group_order
automorphism_group_order
automorphism_list
b_invariants
ball
barnes_g
barnes_g
base
base
base_change
base_change
base_change
base_change
base_field
base_field
base_field
base_field
base_field
base_field
base_field
base_field
base_lie_algebra
base_map
base_ring
base_ring
base_ring
base_ring
base_ring
base_ring
base_ring
base_ring
base_ring
base_ring
base_ring_morphism
base_ring_type
base_scheme
base_space
bases
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis
basis_coordinate_ring_kodaira
basis_coordinate_ring_kodaira_ffl
basis_lie_highest_weight
basis_lie_highest_weight_ffl
basis_lie_highest_weight_lusztig
basis_lie_highest_weight_nz
basis_lie_highest_weight_operators
basis_lie_highest_weight_string
basis_mat_inv
basis_mat_inv
basis_mat_inv
basis_matrix
basis_matrix
basis_matrix
basis_matrix
basis_matrix
basis_matrix
basis_matrix_of_rational_span
basis_nf
basis_of_global_sections_via_homogeneous_component
basis_of_global_sections_via_rational_functions
basis_of_h22
basis_of_h4
basis_pmatrix
basis_representation
bell
bell
bell
bell
bell
bell
bernoulli
bernoulli
bernoulli
bernoulli_cache
bessel_i
bessel_i
bessel_j
bessel_j
bessel_k
bessel_k
bessel_y
bessel_y
betti_number
betti_numbers
betti_numbers
betti_table
bielliptic_d10_pi6
bielliptic_d15_pi21
billera_lee_polytope
bin
binary_markov_graph_polytope
binomial
binomial
binomial
binomial
binomial
binomial
binomial_exponents_to_ideal
binomial_primary_decomposition
biproduct
biproduct
biproduct
biproduct
biproduct
biproduct
bipyramid
birational_literature_models
birkhoff_polytope
block_diagonal_matrix
block_diagonal_matrix
block_diagonal_matrix
block_distribution
blocks
blow_up
blow_up
blow_up
blow_up
blow_up
blow_up
blow_up
blowup
blowup_points
bond_matroid
borcherds_method
bordiga
bound_inf_norm
bound_inf_norm
boundary_lattice_points
bracket
bracket
brown_invariant
build_doc
bump!
c_invariants
calabi_yau_hypersurface
calabi_yau_hypersurface
calabi_yau_hypersurface
can_compute_horizontal_map
can_compute_index
can_compute_vertical_map
can_scale_totally_positive
can_solve
can_solve_with_solution
can_solve_with_solution_and_kernel
canonical_bundle
canonical_bundle
canonical_bundle
canonical_class
canonical_divisor
canonical_divisor_class
canonical_injection
canonical_injection
canonical_injection
canonical_injection
canonical_injection
canonical_injections
canonical_injections
canonical_injections
canonical_matrix
canonical_projection
canonical_projection
canonical_projection
canonical_projection
canonical_projection
canonical_projections
canonical_projections
cartan_bilinear_form
cartan_matrix
cartan_matrix
cartan_matrix
cartan_symmetrizer
cartan_type
cartan_type_with_ordering
cartesian_power
cartier_divisor
cartier_divisor
castelnuovo
catalan_solid
cauchy_ideal
cavender_farris_neyman_model
ceil
ceil
cellular_associated_primes
cellular_decomposition
cellular_hull
cellular_minimal_associated_primes
cellular_primary_decomposition
center
center
center
center
center_data
center_unnormalized
centralizer
centralizer
centralizer
centralizer
centralizer
centralizer
centralizer
chain_complex
chamber
change_base_ring
change_base_ring
change_base_ring
change_base_ring
change_base_ring
change_base_ring
change_coefficient_ring
change_coefficient_ring
character
character
character
character_field
character_lattice
character_parameters
character_table
character_table
character_table
character_table
character_to_rational_function
character_to_rational_function
characteristic
characteristic
characteristic
characteristic
characteristic_polynomial
characteristic_polynomial
characteristic_polynomial
characteristic_subgroups
charpoly
charpoly
charpoly
cheap_realization
chebyshev_t
chebyshev_t
chebyshev_t
chebyshev_t2
chebyshev_t2
chebyshev_u
chebyshev_u
chebyshev_u
chebyshev_u2
chebyshev_u2
chern_character
chern_class
chern_class
chern_class
chern_classes
chern_classes
chief_series
chow_ring
chow_ring
chow_ring
ci_ideal
ci_statements
ci_statements
ci_stmt
circuits
cispi
cispi
class_group
class_group
class_group
class_group
class_group_ideal_relation
class_lengths
class_lengths
class_multiplication_coefficient
class_names
class_number
class_parameters
class_positions_of_center
class_positions_of_center
class_positions_of_derived_subgroup
class_positions_of_kernel
class_positions_of_normal_subgroups
class_positions_of_pcore
class_positions_of_solvable_residuum
classes_of_model_sections
clog
close_vectors
closed_embedding
closed_subvariety_of_toric_variety
closed_subvariety_of_toric_variety
closure
closure
closure
clrbit!
cm_regularity
cm_regularity
cmp
cobases
cochain_complex
cocircuits
cocycle_matroid
codifferent
codim
codim
codim
codim
codim
codim
codomain
codomain
codomain
coeff
coeff
coeff
coeff
coeff
coeff
coeff
coeff
coeff
coeff
coeff
coeff
coefficient_field
coefficient_ideals
coefficient_ideals
coefficient_ring
coefficients
coefficients
coefficients
coefficients
coefficients
coefficients
coefficients
coefficients
coefficients
coefficients
coefficients
coerce_to_lie_algebra_elem
cohomology
cohomology
cohomology_class
cohomology_class
cohomology_class
cohomology_class
cohomology_class
cohomology_class
cohomology_indices
cohomology_ring
cohyperplanes
coinvariant_lattice
coinvariant_lattice
coinvariant_lattice
cokernel
cokernel
collength
colon
coloops
column
combinatorial_symmetries
combit!
comm
common_components
common_components
compact_presentation
complement
complement_classes
complement_of_point_ideal
complement_of_prime_ideal
complement_system
complements
complete_bipartite_graph
complete_graph
complete_intersection
complex_conjugation
complex_embeddings
complex_normal_form
complex_places
complex_projective_plane
component
components
components
components
components_of_dual_graph
components_of_simplified_dual_graph
compose
compose
compose
compose
compose
compose
compose
compose
composition
composition_series
compositions
compositions
compositum
compositum
compound_matrix
compute_equivalent_classes
concentration_matrix
conductor
conductor
cone
cone_from_equations
cone_from_inequalities
cones
cones
conj
conj
conj
conj
conj
conj
conj
conjugacy_class
conjugacy_class
conjugacy_classes
conjugacy_classes
conjugate
conjugate_dominant_weight
conjugate_dominant_weight_with_elem
conjugate_transpose
conjugates
conjugates
conjugates
conjugates_arb
conjugates_arb_log
conjugates_arb_log_normalise
conjugates_complex
conjugates_log
conjugates_real
connected_components
connected_sum
connectivity_function
const_catalan
const_catalan
const_e
const_e
const_euler
const_euler
const_euler
const_glaisher
const_glaisher
const_khinchin
const_khinchin
const_log10
const_log10
const_log2
const_log2
const_pi
const_pi
const_pi
const_pi
const_pi
constant_coefficient
constant_coefficient
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains
contains_negative
contains_negative
contains_nonnegative
contains_nonnegative
contains_nonpositive
contains_nonpositive
contains_positive
contains_positive
contains_zero
contains_zero
contains_zero
contains_zero
content
content
continued_fraction_hirzebruch_jung
continued_fraction_hirzebruch_jung_to_rational
contracted_partial_shift_graph
contraction
convention
convex_hull
convex_hull
coordinate_names
coordinate_names_of_torus
coordinate_ring
coordinate_ring_of_torus
coordinate_ring_of_torus
coordinates
coordinates
coordinates
coordinates
coordinates
coordinates
cophenetic_matrix
coprime_base
coprime_base
coprime_base_push!
corank
core
coroot
coroots
corresponding_bilinear_form
corresponding_quadratic_form
cos
cos_integral
cos_integral
cos_minpoly
cosh_integral
cosh_integral
cospi
cotangent_bundle
cotangent_bundle
cotangent_sheaf
covariance_matrix
cover
covered_scheme
covered_scheme
covered_scheme_morphism
covering_morphism
coverings
cox_ring
cox_ring
cox_ring
cox_ring_of_qq_factorial_terminalization
cox_variety
coxeter_number
cperm
cross_polytope
crt
crt
crt
crt
crt_with_lcm
crt_with_lcm
csgn
csgn
cube
cubic_scroll
cycle_matroid
cycle_structure
cycle_structures
cycles
cycles
cyclic_caratheodory_polytope
cyclic_flats
cyclic_generator
cyclic_group
cyclic_polytope
cyclic_quotient_singularity
cyclotomic
cyclotomic_field
cyclotomic_field
cyclotomic_real_subfield
data
dec
decide_du_val_singularity
decide_du_val_singularity
decomposition_group
decomposition_matrix
dedekind_eta
dedekind_eta
dedekind_sum
default_covering
default_ordering
defining_classes
defining_equation
defining_equation
defining_ideal
defining_ideal
defining_ideal
defining_modulus
defining_polynomial
defining_polynomial
defining_polynomial
defining_polynomial
defining_polynomials
defining_section_parametrization
deflate
deflate
deflate
deflate
deflate
deflate
deflate
deflate
deflation
deflation
degeneracy_locus
deginvlex
deglex
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degree
degrees
degrees_of_generators
degrees_of_generators
degrees_of_kbar_restrictions_to_ci_curves
degrees_of_kbar_restrictions_to_components_of_dual_graph
degrees_of_kbar_restrictions_to_components_of_simplified_dual_graph
degrevlex
dehomogenization_map
dehomogenizer
del_pezzo_polytope
del_pezzo_surface
deletion
deletion
denominator
denominator
denominator
denominator
denominator
dense_matrix_type
dense_row
density
depth
derivative
derivative
derivative
derivative
derivative
derived_algebra
derived_length
derived_series
derived_series
derived_subgroup
describe
det
det
det
det
det
det
det
det
det
det
det
det
det
det
det_divisor
det_given_divisor
det_given_divisor
det_mc
det_representative
det_representative
dets
diagonal
diagonal
diagonal
diagonal_form
diagonal_matrix
diagonal_of_rational_span
diagonal_with_transform
different
digamma
digamma
digamma
digamma
dihedral_group
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim
dim_of_torusfactor
dimension_of_center
dimension_over_center
dimension_specht_module
direct_product
direct_product
direct_product
direct_product
direct_product
direct_product
direct_product
direct_product
direct_product
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum
direct_sum_components
directed_edges_matrix
disc_log
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant
discriminant_group
discriminant_group
discriminant_representation
disjoint_union
disjoint_union
div
div!
divexact
divexact!
divides
divisibility
division_points
divisor_class
divisor_lenstra
divisor_of_character
divisor_sigma
divrem
doctest_fix
dodecahedron
domain
domain
domain
dominates
dot
dot
dot
double_coset
double_cosets
dst
dual
dual
dual
dual
dual
dual
dual_basis
dual_continued_fraction_hirzebruch_jung
dual_graph
dual_graph
dual_matroid
dual_subdivision
dwarfed_cube
dwarfed_product_polygons
echelon_with_transform
edges
effective_cartier_divisor
effective_cartier_divisor
ehrhart_polynomial
ehrhart_polynomial
eigenvalues
eigenvalues
eigenvalues
eigenvalues_simple
eigenvalues_with_multiplicities
eigenvalues_with_multiplicities
eigenvalues_with_multiplicities
eisenstein_g
eisenstein_g
elem_in_nf
elem_type
elem_type
element_to_homomorphism
elementary_abelian_group
elementary_divisors
elementary_divisors
elements!
eliminate
eliminate
elliptic_curve
elliptic_curve_from_j_invariant
elliptic_d10_pi10
elliptic_d10_pi9
elliptic_d11_pi12
elliptic_d12_pi13
elliptic_d12_pi14_ss_0
elliptic_d12_pi14_ss_inf
elliptic_d7_pi6
elliptic_d8_pi7
elliptic_d9_pi7
elliptic_e
elliptic_e
elliptic_k
elliptic_k
elliptic_parameter
elliptic_surface
emb
emb!
embed
embed
embed_in_unimodular
embedding
embedding
enriques_d10_pi8
enriques_d11_pi10
enriques_d13_pi16
enriques_d13_pi16_two
enriques_d9_pi6
enumerate_classes_of_lattices_with_isometry
enumerate_partitioned_permutations
enumerate_prime_power_isometries
epimorphism_from_free_group
equation
equidimensional_decomposition_radical
equidimensional_decomposition_weak
equidimensional_hull
equidimensional_hull_radical
equivariant_primitive_extensions
erf
erf
erf
erfc
erfi
erfi
erfi
error_covariance_matrix
estimated_number_of_triangulations
eta_qexp
eta_qexp
euler_characteristic
euler_characteristic
euler_characteristic
euler_characteristic
euler_characteristic
euler_number
euler_phi
euler_phi
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate
evaluate2
evaluate2
evaluate_mod
evaluate_naive
evaluation_function
exceptional_prime_divisor
excess
exp
exp
exp
exp
exp
exp
exp
exp_integral_e
exp_integral_e
exp_integral_ei
exp_integral_ei
exp_pi_i
explicit_model_sections
explicit_zonotope
exponent
exponent
exponent_vectors
exponent_word
exponent_words
exponents
ext
ext_of_degree
extend
exterior_algebra
exterior_power
exterior_power
exterior_power
exterior_power
exterior_shift
extra_name
f_vector
f_vector
f_vector
f_vector
f_vector
f_vector
face_fan
facet_degrees
facet_sizes
facets
factor
factor
factor
factor
factor
factor
factor
factor_base_bound_bach
factor_base_bound_grh
factor_coprime
factor_coprime
factor_coprime
factor_coprime
factor_distinct_deg
factor_distinct_deg
factor_distinct_deg
factor_distinct_deg
factor_distinct_deg
factor_distinct_deg
factor_of_direct_product
factorial
factorial
factorial
factorial
factorial
family_of_spaces
fano_matroid
fano_simplex
fat_ideal
fat_ideal
fat_scheme
feasible_region
feasible_region
fflu
fglm
fiber_ambient_space
fiber_cartier
fiber_components
fiber_product
fiber_product
fibonacci
fibonacci
fibonacci
fibonacci
fibonacci
fibonacci
fibration
fibration_on_weierstrass_model
field
fill!
find_isomorphism
find_name
find_random_variables
find_row_starting_with
find_state
finish
finite_field
fits
fits
fitting_ideal
fitting_subgroup
fixed_field
fixed_field
fixed_field
fixed_field
fixed_field
fixed_ring
flag_pluecker_ideal
flat
flats
flog
floor
floor
forget_grading
forget_grading
forget_toric_structure
forget_toric_structure
forget_toric_structure
fourier_map
fourier_parameters
fourier_ring
fp_group
fractional_cut_polytope
fractional_ideal
fractional_ideal
fractional_ideal
fractional_ideal
fractional_ideal
fractional_ideal
fractional_ideal
fractional_knapsack_polytope
fractional_matching_polytope
frattini_subgroup
free_abelian_group
free_extension
free_group
free_module
free_module
free_module
free_resolution
frobenius
from_roots
from_roots
full_group
fundamental_circuit
fundamental_cocircuit
fundamental_group
fundamental_invariants
fundamental_invariants
fundamental_invariants
fundamental_weight
fundamental_weights
g4_flux
g_vector
galois_group
galois_group
galois_ideal
galois_orbit_sum
galois_quotient
galois_quotient
galois_quotient
galois_quotient
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma
gamma_lower
gamma_lower
gamma_lower
gamma_lower
gamma_lower_regularized
gamma_lower_regularized
gamma_lower_regularized
gamma_lower_regularized
gamma_regularized
gamma_regularized
gamma_regularized
gamma_regularized
gauge_algebra
gaussian_ring
gcd
gcd
gcd
gcd
gcd
gcd
gcd
gcd!
gcdinv
gcdx
gcdx
gcdx
gelfand_tsetlin_polytope
gen
gen
gen
gen
gen
gen
gen
gen
gen
gen
gen
gen
gen
gen_index
genera_of_ci_curves
genera_of_components_of_dual_graph
genera_of_components_of_simplified_dual_graph
general_linear_group
general_linear_lie_algebra
general_markov_model
generalized_jordan_block
generalized_jordan_form
generating_sections
generators
generic_fiber
generic_section
generic_unipotent_matrix
gens
gens
gens
gens
gens
gens
gens
gens
gens
gens
gens
gens_of_rational_equivalence_classes
gens_with_data
genus
genus
genus
genus
genus
genus
genus_field
genus_representatives
genus_representatives
geometric_genus
geometric_irreducible_components
geometric_irreducible_components
get_assertion_level
get_attribute
get_attribute!
get_html_as_latex
get_name
get_seeded_rng
get_variable
get_verbosity_level
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex
getindex_safe
girth
global_gauge_quotients
global_tate_model
global_tate_model
global_tate_model
global_tate_model
global_tate_model_over_del_pezzo_surface
global_tate_model_over_hirzebruch_surface
global_tate_model_over_projective_space
glue_map
gluing_domains
gluing_morphisms
gluings
goldfarb_cube
goldfarb_sit_cube
gorenstein_index
grade
grade
grade
grade
grade
graded_free_module
graded_free_module
graded_polynomial_ring
grading_group
grading_group
grading_group
grading_group
grading_group
grading_group
gram
gram_determinant_specht_module
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix
gram_matrix_bilinear
gram_matrix_of_generators
gram_matrix_of_rational_span
gram_matrix_quadratic
gram_schmidt_orthogonalisation
graph
graph
graph
graph_from_adjacency_matrix
graph_from_edges
graphical_model
graphical_model
grassmann_pluecker_ideal
grid_morphism
groebner_basis
groebner_basis
groebner_basis
groebner_basis
groebner_basis_f4
groebner_basis_hilbert_driven
groebner_basis_with_transformation_matrix
groebner_walk
group
group
group
group_algebra
group_of_model
gset
guess
h_star_polynomial
h_star_polynomial
h_vector
h_vector
hadamard
hadamard_bound2
hall_subgroup_classes
hall_subgroups
hall_system
harmonic
has_attribute
has_canonical_singularities
has_complement
has_du_val_singularities
has_edge
has_gens
has_horizontal_map
has_index
has_left_bound
has_lower_bound
has_minimum
has_nonempty_intersection
has_norm
has_number_of_perfect_groups
has_number_of_primitive_groups
has_number_of_small_groups
has_number_of_transitive_groups
has_perfect_group_identification
has_perfect_groups
has_preimage_with_preimage
has_primitive_group_identification
has_primitive_groups
has_princ_gen_special
has_quick_triangulation
has_quotient
has_right_bound
has_root_system_type
has_small_group_identification
has_small_groups
has_terminal_singularities
has_torusfactor
has_transitive_group_identification
has_transitive_groups
has_upper_bound
has_vertex
has_vertical_map
has_zero_entropy
hash
hasse_invariant
hasse_invariant
hasse_invariant
hcat
hcat!
height
height
height
height
height_bits
height_bits
hermitian_form
hermitian_genera
hermitian_lattice
hermitian_lattice
hermitian_lattice
hermitian_lattice
hermitian_local_genera
hermitian_space
hermitian_space
hermitian_structure
hessenberg
hex
highest_root
hilbert
hilbert_basis
hilbert_basis
hilbert_class_field
hilbert_class_polynomial
hilbert_function
hilbert_polynomial
hilbert_polynomial
hilbert_polynomial
hilbert_series
hilbert_series_expanded
hilbert_series_reduced
hilbert_symbol
hirzebruch_surface
hnf
hnf
hnf
hnf!
hnf_extend!
hnf_kannan_bachem
hnf_modular
hnf_modular_eldiv
hnf_with_transform
hnf_with_transform
hodge_h11
hodge_h12
hodge_h13
hodge_h22
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom
hom_direct_sum
hom_direct_sum
hom_product
hom_tensor
hom_tensor
hom_tensor
hom_without_reversing_direction
homogeneous_component
homogeneous_component
homogeneous_component
homogeneous_component
homogeneous_components
homogeneous_components
homogeneous_coordinate_ring
homogeneous_coordinates_on_affine_cone
homogenization_map
homogenizer
homogenizer
homology
homology
homology
homomorphism_of_semidirect_product
homomorphism_of_wreath_product
homomorphism_to_element
hook_length
hook_lengths
hooklength
horizontal_direction
horizontal_map
howell_form
howell_form
hyperbolic_plane_lattice
hyperelliptic_polynomials
hypergeometric_1f1
hypergeometric_1f1
hypergeometric_1f1_regularized
hypergeometric_1f1_regularized
hypergeometric_2f1
hypergeometric_2f1
hypergeometric_u
hypergeometric_u
hyperkaehler_lattice
hyperplane_class
hyperplanes
hypersimplex
hypersurface_complement
hypersurface_complement
hypersurface_equation
hypersurface_equation_parametrization
hypersurface_model
hypersurface_model
hypertruncated_cube
icosahedron
id_hom
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal
ideal_as_module
ideal_membership
ideal_membership
ideal_membership
ideal_membership
ideal_of_linear_relations
ideal_of_linear_relations
ideal_of_linear_relations
ideal_sheaf
ideal_sheaf
ideal_sheaf
idempotents
idempotents
identifier
identifier
identity_map
identity_map
identity_map
identity_map
identity_map
identity_matrix
identity_matrix
identity_matrix
identity_matrix
imag
imag
image
image
image
image
image
image
image
image
image
image
image
image_centralizer_in_Oq
image_ideal
image_ideal
immaculate_line_bundles
in
in
in
in
in
in
in
in
in
in
in
in
in
incidence_matrix
inclusion_morphism
independent_sets
index
index
index_of_new_ray
indicator
indices_of_trivial_ci_curves
induce
induce
induced_automorphism
induced_cyclic
induced_ring_ordering
inequations
inertia_subgroup
infinite_places
infinity
infinity
infinity
inflate
inflate
inflate
inflate
inflate
inflate
initial
initial
inneighbors
inner_automorphism
inner_automorphism_group
inner_cartesian_power
inner_direct_product
inner_point
inner_product
inner_product
integer_genera
integer_lattice
integer_lattice
integer_lattice_with_isometry
integer_lattice_with_isometry
integral
integral
integral
integral
integral_basis
integral_split
integrate
interior_lattice_points
interpolate
interreduce!
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersect
intersection_form
intersection_matrix
intersection_multiplicity
intersection_multiplicity
inv
inv
inv
inv
inv
inv
inv
inv
inv
inv
inv!
inv_coeff_ideals
invariant_alternating_forms
invariant_bilinear_form
invariant_bilinear_forms
invariant_coinvariant_pair
invariant_coinvariant_pair
invariant_factors
invariant_hermitian_forms
invariant_lattice
invariant_lattice
invariant_lattice
invariant_quadratic_form
invariant_quadratic_forms
invariant_ring
invariant_ring
invariant_ring
invariant_ring
invariant_sesquilinear_form
invariant_sesquilinear_forms
invariant_symmetric_forms
invariants
inverse
inverse
inverse_specialized_fourier_transform
invert_birational_map
invlex
invmod
involution
involution
iroot
iroot
irreducible_components
irreducible_components
irreducible_components
irreducible_decomposition
irreducible_secondary_invariants
irrelevant_ideal
irrelevant_ideal
irrelevant_ideal
is_GLZ_conjugate
is_abelian
is_abelian
is_abelian
is_abelian
is_absolute
is_absolute
is_admissible_triple
is_affine
is_algebraic
is_algebraic_integer
is_algebraically_independent
is_algebraically_independent_with_relations
is_almost_simple
is_almost_simple
is_alternating
is_alternating
is_ample
is_ample
is_anti_isometric_with_anti_isometry
is_archimedean_solid
is_associated
is_associated
is_ball
is_base_space_fully_specified
is_basepoint_free
is_basepoint_free
is_bass
is_bicoset
is_bijective
is_bijective
is_binary
is_binomial
is_binomial
is_bounded
is_calabi_yau
is_cartan_matrix
is_cartan_type
is_cartier
is_cellular
is_central
is_central
is_character_table_name
is_characteristic_subgroup
is_closed_embedding
is_clutter
is_cm_field
is_cohen_macaulay
is_coloopless
is_commutative
is_compatible
is_complete
is_complete
is_complete
is_complex
is_conductor
is_congruent
is_conjugate
is_conjugate
is_conjugate
is_conjugate_with_data
is_conjugate_with_data
is_conjugate_with_data
is_connected
is_constant
is_constant
is_contained
is_coroot
is_coroot_with_index
is_cyclic
is_cyclic
is_cyclic
is_cyclic
is_defining_polynomial_nice
is_definite
is_definite
is_definite
is_definite
is_definite
is_definite
is_degenerate
is_degenerate
is_diagonal
is_diagonal
is_divisible_by
is_divisible_by
is_divisible_by
is_divisible_by
is_dominant
is_du_val_singularity
is_du_val_singularity
is_duplicate_table
is_dyadic
is_effective
is_effective
is_effective
is_elementary
is_elementary
is_elementary
is_elementary
is_elementary_abelian
is_elementary_abelian
is_elementary_with_prime
is_elementary_with_prime
is_elementary_with_prime
is_elementary_with_prime
is_elimination_ordering
is_embedded
is_empty
is_equal_abs
is_equal_abs_imag
is_equal_abs_real
is_equal_imag
is_equal_real
is_equation_order
is_equidistant
is_even
is_exact
is_exact
is_exact
is_exact
is_faithful
is_fano
is_feasible
is_finalized
is_finite
is_finite
is_finite
is_finite
is_finite
is_finite_dimensional_vector_space
is_finite_order
is_finitely_generated
is_flat
is_full_direct_product
is_full_semidirect_product
is_full_wreath_product
is_fulldimensional
is_fulldimensional
is_fundamental_weight
is_fundamental_weight_with_index
is_gen
is_gen
is_gen
is_gen
is_gen
is_gen
is_gen
is_gen
is_genus
is_global
is_gorenstein
is_gorenstein
is_graded
is_graded
is_graded
is_hadamard
is_hermitian
is_hermitian
is_hermitian
is_hermitian
is_hessenberg
is_hnf
is_hnf
is_homogeneous
is_homogeneous
is_homogeneous
is_homogeneous
is_homogeneous
is_homogeneous
is_homogeneous
is_identity_map
is_imaginary
is_imaginary
is_immaculate
is_in_linear_system
is_independent
is_index_divisor
is_inert
is_injective
is_injective
is_inner_automorphism
is_integral
is_integral
is_integral
is_integral
is_integral
is_integral
is_integral
is_invariant
is_invariant
is_inverse_of
is_invertible
is_invertible
is_invertible
is_invertible_with_inverse
is_invertible_with_inverse
is_involution
is_irreducible
is_irreducible
is_isometric
is_isometric
is_isometric
is_isometric
is_isometric_with_isometry
is_isometric_with_isometry
is_isomorphic
is_isomorphic
is_isomorphic
is_isomorphic
is_isomorphic
is_isomorphic
is_isomorphic
is_isomorphic
is_isomorphic_to_alternating_group
is_isomorphic_to_symmetric_group
is_isomorphic_with_map
is_isomorphic_with_map
is_isomorphic_with_permutation
is_isomorphism
is_isomorphism
is_isomorphism
is_isotropic
is_isotropic
is_johnson_solid
is_k_separation
is_kummer_extension
is_lattice_polytope
is_left
is_less_abs
is_less_abs_imag
is_less_abs_real
is_less_imag
is_less_real
is_less_root_order
is_linearly_disjoint
is_linearly_normal
is_local
is_local_norm
is_local_norm
is_local_norm
is_locally_hyperbolic
is_locally_isometric
is_locally_isometric
is_locally_represented_by
is_loopless
is_lower_triangular
is_manifold
is_maximal
is_maximal
is_maximal_integral
is_maximal_integral
is_maximal_subgroup
is_minor
is_mixed
is_modular
is_modular
is_monic
is_monomial
is_monomial
is_monomial
is_monomial
is_monomial_recursive
is_natural_alternating_group
is_natural_symmetric_group
is_neat
is_nef
is_negative
is_negative
is_negative
is_negative
is_negative_coroot
is_negative_coroot_with_index
is_negative_definite
is_negative_definite
is_negative_definite
is_negative_definite
is_negative_definite
is_negative_root
is_negative_root_with_index
is_nilpotent
is_nilpotent
is_nilpotent
is_nilpotent
is_non_zero_divisor
is_nonnegative
is_nonnegative
is_nonpositive
is_nonpositive
is_nonzero
is_nonzero
is_norm
is_norm_divisible
is_normal
is_normal
is_normal
is_normal
is_normal
is_normal
is_normal_subgroup
is_normalized_by
is_number
is_of_hermitian_type
is_of_same_type
is_of_type
is_on_curve
is_one
is_one
is_open_embedding
is_orbifold
is_orthogonally_stable
is_partially_resolved
is_perfect
is_perfect
is_perfect
is_perfect_power
is_pgroup
is_pgroup_with_prime
is_platonic_solid
is_pointed
is_pointed
is_positive
is_positive
is_positive
is_positive
is_positive_coroot
is_positive_coroot_with_index
is_positive_definite
is_positive_definite
is_positive_definite
is_positive_definite
is_positive_definite
is_positive_root
is_positive_root_with_index
is_positively_graded
is_power
is_power
is_power
is_primary
is_primary
is_primary
is_primary
is_primary
is_primary_with_prime
is_primary_with_prime
is_primary_with_prime
is_primary_with_prime
is_prime
is_prime
is_prime
is_prime
is_prime
is_prime_known
is_prime_power
is_prime_power_with_data
is_primitive
is_primitive
is_primitive
is_principal
is_principal
is_principal_fac_elem
is_principal_with_data
is_probable_prime
is_projective
is_projective_space
is_pure
is_pure
is_pure
is_q_cartier
is_q_gorenstein
is_quadratic
is_quadratic
is_quasisimple
is_quasisimple
is_radical_extension
is_ramified
is_ramified
is_rational
is_rational
is_rational
is_rationally_isometric
is_rationally_isometric
is_ready
is_real
is_realizable
is_reduced
is_regular
is_regular
is_regular
is_regular
is_regular
is_regular_sequence
is_represented_by
is_right
is_rimhook
is_rimhook
is_root
is_root_of_unity
is_root_with_index
is_rref
is_rref
is_self_normalizing
is_semi_regular
is_semiregular
is_semisimple
is_semistandard
is_signed_inf
is_simple
is_simple
is_simple
is_simple
is_simple
is_simple
is_simple
is_simple_coroot
is_simple_coroot_with_index
is_simple_root
is_simple_root_with_index
is_simplicial
is_simplicial
is_simplicial
is_simplicial
is_singular
is_skew_symmetric
is_smooth
is_smooth
is_smooth
is_smooth
is_smooth
is_snf
is_snf
is_snf
is_snf
is_solvable
is_solvable
is_solvable
is_sphere
is_split
is_sporadic_simple
is_sporadic_simple
is_square
is_square
is_square
is_square
is_square
is_square
is_square_with_sqrt
is_squarefree
is_standard
is_standard_graded
is_subfield
is_subfield
is_subfield_normal
is_subgroup
is_sublattice
is_sublattice_with_relations
is_submodule
is_subscheme
is_subset
is_subset
is_subset
is_subset
is_subset
is_supersolvable
is_supersolvable
is_surjective
is_surjective
is_symmetric
is_symmetric
is_table_of_marks_name
is_tamely_ramified
is_tamely_ramified
is_term
is_term
is_term
is_term_recursive
is_ternary
is_terse
is_torsion
is_torsion_unit
is_totally_complex
is_totally_positive
is_totally_real
is_transitive
is_transverse_intersection
is_transverse_intersection
is_trivial
is_trivial
is_uinf
is_undefined
is_unimodular
is_unipotent
is_unit
is_unit
is_unit
is_unit
is_unital
is_univariate
is_univariate
is_unknown
is_upper_triangular
is_upper_triangular
is_vertical_k_separation
is_very_ample
is_very_ample
is_very_ample
is_weak_popov
is_weakly_ramified
is_z_graded
is_zero
is_zero
is_zero
is_zero
is_zero
is_zero
is_zero
is_zero
is_zm_graded
isempty
isempty
isequal
isequal
isequal
isequal
iseven
iseven
iseven
iseven
iseven
isfinite
isfinite
isfinite
isfinite
isinf
isinteger
isinteger
isinteger
isinteger
isinteger
isinteger
isinteger
iso_gap_oscar
iso_oscar_gap
isodd
isodd
isometry
isometry
isometry_group
isomorphism
isomorphism
isomorphism
isomorphism
isomorphism_from_generic_fibers
isomorphisms
isone
isone
isone
isone
isone
isone
isone
isqrt
isqrtrem
isreal
isreal
isreal
issubset
issubset
iszero
iszero
iszero
iszero
iszero
iszero
iszero
iszero
iszero
iterate_basis
iterate_basis
j_invariant
j_invariant
j_invariant
jacobi_symbol
jacobi_symbol
jacobi_theta
jacobi_theta
jennings_series
johnson_solid
jordan_decomposition
journal_doi
journal_link
journal_model_equation_number
journal_model_page
journal_model_section
journal_name
journal_pages
journal_report_numbers
journal_volume
journal_year
jukes_cantor_model
k3_d10_pi9_quart_1
k3_d10_pi9_quart_2
k3_d11_pi11_ss_0
k3_d11_pi11_ss_1
k3_d11_pi11_ss_2
k3_d11_pi11_ss_3
k3_d11_pi12
k3_d12_pi14
k3_d13_pi16
k3_d14_pi19
k3_d7_pi5
k3_d8_pi6
k3_d9_pi8
k3_lattice
k_cyclic_polytope
katsura
katsura
kbar3
kernel
kernel
kernel
kernel
kernel
kernel
kernel
kernel_lattice
kernel_lattice
kernel_lattice
kimura2_model
kimura3_model
kissing_number
klee_minty_cube
klein_bottle
known_class_fusion
known_class_fusions
kodaira_neron_model
koszul_complex
koszul_homology
koszul_matrix
kronecker_symbol
kummer_failure
laplacian_matrix
lattice
lattice
lattice
lattice
lattice
lattice
lattice
lattice
lattice_in_same_ambient_space
lattice_points
lattice_volume
laurent_polynomial_ring
lcm
lcm
lcm
lcm
lcm!
leading_coefficient
leading_coefficient
leading_coefficient
leading_ideal
leading_ideal
leading_monomial
leading_term
lecture_hall_simplex
leech_lattice
left_acting_group
left_bound
left_coset
left_cosets
left_ideal
left_transversal
leglength
length
length
length
length
length
length
length
length
length
length
level
level
lex
lgamma
lgamma
lgamma
lgamma
lie_algebra
lie_algebra
lie_algebra
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift
lift_homomorphism_contravariant
lift_homomorphism_covariant
lindep
lindep
lindep
lindep
lindep
lindep
line_bundle
lineality_dim
lineality_dim
lineality_dim
lineality_dim
lineality_dim
lineality_space
lineality_space
lineality_space
lineality_space
lineality_space
linear_characters
linear_characters
linear_halfspace
linear_hyperplane
linear_program
linear_quotient
linear_symmetries
linear_system
linearly_reductive_group
linearly_reductive_group
link_subcomplex
literature_identifier
literature_model
lll
lll
lll
lll
lll!
lll_basis
lll_basis
lll_gram
lll_gram!
lll_gram_with_transform
lll_with_removal
lll_with_removal_transform
lll_with_transform
load
load_lp
load_mps
local_basis_matrix
local_modification
local_symbol
local_symbols
localization
localization
log
log
log
log
log
log_barnes_g
log_barnes_g
log_integral
log_integral
log_integral_offset
log_integral_offset
log_pi_i
log_sinpi
log_sinpi
longest_element
loops
lorenz_module
low_index_subgroup_classes
low_index_subgroups
lower_bound
lower_central_series
lower_central_series
lower_triangular_matrix
lower_triangular_matrix
lu
make_elementary
map
map
map!
map_coefficients
map_coefficients
map_coefficients
map_entries
map_entries
map_from_character_lattice_to_torusinvariant_weil_divisor_group
map_from_func
map_from_torusinvariant_cartier_divisor_group_to_picard_group
map_from_torusinvariant_cartier_divisor_group_to_torusinvariant_weil_divisor_group
map_from_torusinvariant_weil_divisor_group_to_class_group
map_gens_of_chow_ring_to_cox_ring
map_on_affine_cones
map_word
map_word
marginal
markov_ring
mass
mass
mass
matrix
matrix
matrix
matrix
matrix
matrix
matrix
matrix
matrix_group
matrix_ordering
matrix_repr
matrix_repr
matrix_repr
matrix_repr
matrix_repr_basis
matrix_repr_basis
matroid_base_polytope
matroid_from_bases
matroid_from_circuits
matroid_from_hyperplanes
matroid_from_matrix_columns
matroid_from_matrix_rows
matroid_from_matroid_hex
matroid_from_nonbases
matroid_from_revlex_basis_encoding
matroid_groundset
matroid_hex
max_GC_rank_polytope
max_exp
max_lattice_pts_in_facet
max_precision
maxabs_exp
maxes
maximal_abelian_quotient
maximal_abelian_subfield
maximal_abelian_subfield
maximal_blocks
maximal_cells
maximal_cones
maximal_extension
maximal_integral_lattice
maximal_integral_lattice
maximal_integral_lattice
maximal_integral_lattice
maximal_normal_subgroups
maximal_polyhedra
maximal_polyhedra
maximal_polyhedra_and_multiplicities
maximal_subgroup_classes
maximal_subgroups
maximum
maximum
maximum
maximum
maximum
midpoint
midpoint
min_exp
min_weights
minimal_betti_table
minimal_betti_table
minimal_block_reps
minimal_faces
minimal_faces
minimal_faces
minimal_generating_set
minimal_generating_set
minimal_nonfaces
minimal_normal_subgroups
minimal_polynomial
minimal_polynomial
minimal_primes
minimal_size_generating_set
minimal_subalgebra_generators
minimum
minimum
minimum
minimum
minimum
minimum
minimum
minimum
minkowski_map
minkowski_map
minkowski_matrix
minor
minors
minpoly
minpoly
minpoly
minpoly
minpoly
minpoly
mixed_integer_linear_program
mod
mod
mod
mod
mod!
mod!
mod_sym!
mod_sym!
mod_sym!
model
model_parameters
modular_delta
modular_delta
modular_lambda
modular_lambda
modular_proj
modular_weber_f
modular_weber_f
modular_weber_f1
modular_weber_f1
modular_weber_f2
modular_weber_f2
module_syzygies
modulus
modulus
modulus
modulus
modulus_bilinear_form
modulus_quadratic_form
moebius_kantor_matroid
moebius_mu
moebius_mu
molien_series
monomial_basis
monomial_basis
monomial_basis
monomial_to_newton!
mordell_weil_sublattice
mordell_weil_torsion
mori_cone
morphism
morphism
morphism
morphism
morphism_from_cox_variety
morphism_on_class_group
morphism_on_picard_group
morphism_on_torusinvariant_cartier_divisor_group
morphism_on_torusinvariant_weil_divisor_group
mukai_lattice
mul!
mul_red!
mullow
mullow
mulmod
multi_hilbert_function
multi_hilbert_series
multi_hilbert_series_reduced
multiplicative_group
multiplicative_group_generators
multiplicative_jordan_decomposition
multiplicities
multiplicities
multiplicities_eigenvalues
multiplicity
multiplicity
multiplicity
multiply_column
multiply_column!
multiply_row
multiply_row!
multiset
n_cones
n_connected_components
n_edges
n_facets
n_facets
n_facets
n_gon
n_maximal_cells
n_maximal_cones
n_maximal_polyhedra
n_maximal_polyhedra
n_polyhedra
n_polyhedra
n_rays
n_rays
n_rays
n_vertices
n_vertices
n_vertices
n_vertices
n_vertices
name
names_of_fusion_sources
narrow_class_group
natural_character
natural_character
natural_character
natural_character
nbits
nef_cone
neg!
negative_coroot
negative_coroots
negative_root
negative_roots
negdeglex
negdegrevlex
neginvlex
neglex
negwdeglex
negwdegrevlex
neighbors
newell_patch
newell_patch
newell_patch_with_orderings
newick
newton_polytope
newton_to_monomial!
next_calkin_wilf
next_minimal
next_signed_calkin_wilf
next_signed_minimal
nextpow2
nf
nf
nice_gens
nilpotency_class
nnz
noether_normalization
non_fano_matroid
non_flat_locus
non_pappus_matroid
nonbases
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm
norm2
norm_change_const
norm_equation
norm_group
norm_group
normal_basis
normal_closure
normal_closure
normal_closure
normal_fan
normal_form
normal_form
normal_form
normal_form
normal_subgroup
normal_subgroup
normal_subgroups
normal_toric_varieties_from_glsm
normal_toric_varieties_from_star_triangulations
normal_toric_variety
normal_toric_variety
normal_toric_variety_from_glsm
normal_toric_variety_from_star_triangulation
normalization
normalization
normalization
normalization_with_delta
normalize!
normalize!
normalized_volume
normalizer
normalizer
normalizer
normalizer
norms
nrels
nrows
nullity
nullspace
nullspace_right_rational
num_coeff
number_field
number_field
number_field
number_field
number_field
number_of_atlas_groups
number_of_columns
number_of_columns
number_of_columns
number_of_compositions
number_of_compositions
number_of_conjugacy_classes
number_of_digits
number_of_factors
number_of_generators
number_of_generators
number_of_generators
number_of_partitions
number_of_partitions
number_of_partitions
number_of_perfect_groups
number_of_positive_roots
number_of_primitive_groups
number_of_roots
number_of_rows
number_of_rows
number_of_rows
number_of_simple_roots
number_of_small_groups
number_of_standard_tableaux
number_of_transitive_groups
number_of_variables
number_of_weak_compositions
number_states
numerator
numerator
numerator
numerator
numerator
numpart
numpart
numpart
numpart
objective_function
oct
od_for_specht_module
od_from_atlas_group
od_from_eigenvalues
od_from_order
od_from_p_subgroup
oddity
omega_group
on_echelon_form_mats
on_indeterminates
on_lines
on_sets
on_simplicial_complex
on_subgroups
on_tuples
one
one
one
one
one
one
one!
onei
onei
onei
ones_matrix
opposite_algebra
optimal_solution
optimal_value
optimal_value
optimal_vertex
orbit
orbit
orbit_polytope
orbits
order
order
order
order
order
order
order
order
order
order
order
order
order
order
order
order
order
order_field_of_definition
order_of_isometry
order_of_isometry
order_of_vanishing
orders_centralizers
orders_class_representatives
orders_class_representatives
orders_perfect_groups
ordinary_table
orthogonal_basis
orthogonal_complement
orthogonal_components
orthogonal_discriminant
orthogonal_discriminants
orthogonal_group
orthogonal_projection
orthogonal_sign
orthogonal_submodule
orthogonal_submodule
orthogonal_submodule
orthogonal_submodule
outneighbors
overlaps
overlaps
overlaps
overlaps
overlaps
overlaps
overlaps
overlaps
overlattice
p_central_series
padic_field
paper_authors
paper_buzzwords
paper_description
paper_title
pappus_matroid
parallel_extension
parametrization
parametrization
parametrization
parametrization
parent
parent
parent
parent
parent
parent
parent_type
parity
partial_shift_graph
partial_shift_graph_vertices
partition
partitions
partitions
partitions
partitions
partitionseq
passes_elementary_quantization_checks
patches
pbw_algebra
pcore
pcore
pentagonal_hexecontahedron
pentagonal_icositetrahedron
perfect_group
perfect_group_identification
perles_matroid
perles_nonrational_8_polytope
perm
permtype
permutahedron
permutation
permutation_group
permutation_matrix
permuted
pfaffian
pfaffians
phylogenetic_tree
picard_class
picard_group
picard_group
picard_index
pile_polytope
pitman_stanley_polytope
platonic_solid
pluecker_indices
pmaximal_overorder
point_class
point_vector
points
pol_elementary_divisors
polarize
polarize
polygamma
polygamma
polyhedra
polyhedra_of_dim
polyhedral_complex
polyhedral_complex
polyhedral_fan
polyhedral_fan
polyhedral_fan_from_rays_action
polyhedron
polyhedron
polyhedron
polyhedron
polylog
polylog
polylog
polylog
polynomial
polynomial
polynomial
polynomial
polynomial_ring
polynomial_ring
polynomial_ring
polynomial_ring
polynomial_ring_only
polynomial_to_power_sums
polytope_index
pontryagin_class
popcount
popov
popov_with_transform
positive_coroot
positive_coroots
positive_hull
positive_root
positive_roots
possible_class_fusions
poverorder
poverorders
pow
power_class
power_product_class
power_reduce
power_sums_to_polynomial
powermod
powers
powers_of_element
ppio
pradical
pradical
precision
precision
precision
precision
preimage
preimage
preimage
preimage
preimage_map
preimage_map
present_as_cokernel
present_finite_extension_ring
presentation
preserved_quadratic_forms
preserved_sesquilinear_forms
pretty
pretty
prevpow2
primary_decomposition
primary_invariants
prime
prime
prime
prime
prime_decomposition_type
prime_field
prime_ideals_up_to
prime_of_pgroup
primes
primes
primitive_closure
primitive_closure
primitive_collections
primitive_embeddings
primitive_embeddings
primitive_embeddings
primitive_extensions
primitive_group
primitive_group_identification
primorial
primorial
primpart
principal_extension
principal_generator
principal_generator_fac_elem
principal_subfields
print_constraints
print_constraints
probability_map
probability_ring
product
product
product
project_full
projective_closure
projective_general_linear_group
projective_geometry
projective_omega_group
projective_orthogonal_group
projective_plane
projective_space
projective_space
projective_space
projective_special_linear_group
projective_special_orthogonal_group
projective_special_unitary_group
projective_symplectic_group
projective_unitary_group
projectivization
projectivization
prune_with_map
pseudo_basis
pseudo_basis
pseudo_del_pezzo_polytope
pseudo_hnf
pseudo_hnf_with_transform
pseudo_inv
pseudo_matrix
pseudo_matrix
pseudo_matrix
pseudo_matrix
pseudodivrem
pseudorem
psubgroups
pullback
pullback
pullback
pullback
push!
push_term!
pushforward
pushforward
pushforward_on_algebraic_lattices
put_over_concrete_base
pyramid
qadic_field
quadratic_defect
quadratic_field
quadratic_form
quadratic_form
quadratic_lattice
quadratic_lattice
quadratic_lattice
quadratic_lattice
quadratic_product
quadratic_space
quadratic_space
quadratic_space
quadratic_space_with_isometry
quadratic_space_with_isometry
quantum_automorphism_group
quantum_automorphism_group
quantum_symmetric_group
quaternion_group
quintic_elliptic_scroll
quo
quo
quo
quo
quo
quo
quo
quo
quo
quo
quo
quo
quo
quo
quo
quotient
quotient
quotient
quotient
quotient_ring_as_module
radical
radical
radical
radical_bilinear
radical_extension
radical_membership
radical_quadratic
radius
radius
ramification_group
ramification_index
ramified_primes
rand
rand
rand
rand
rand
rand
rand
rand
rand
rand
rand01_polytope
rand_bits
rand_bits
rand_bits_prime
rand_box_polytope
rand_cyclic_polytope
rand_metric
rand_metric_int
rand_normal_polytope
rand_pseudo
rand_row
rand_spherical_polytope
rand_subpolytope
random_realization
random_variables
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank
rank_action
ranks
rational_d10_pi8
rational_d10_pi9_quart_1
rational_d10_pi9_quart_2
rational_d11_pi11_ss_0
rational_d11_pi11_ss_1
rational_d11_pi11_ss_inf
rational_d7_pi4
rational_d8_pi5
rational_d8_pi6
rational_d9_pi6
rational_d9_pi7
rational_equivalence_class
rational_equivalence_class
rational_equivalence_class
rational_equivalence_class
rational_equivalence_class
rational_equivalence_class
rational_equivalence_class
rational_point_conic
rational_representative
rational_span
rational_span
rational_span
rational_spinor_norm
rational_spinor_norm
rational_to_continued_fraction_hirzebruch_jung
rationals_as_number_field
ray_class_field
ray_class_field
ray_class_field
ray_class_field
ray_class_field
ray_class_group
ray_degrees
ray_vector
rays
rays
rays
rays
rays
rays
rays_modulo_lineality
rays_modulo_lineality
rays_modulo_lineality
rays_modulo_lineality
rays_modulo_lineality
reading_word
real
real
real_embeddings
real_places
real_projective_plane
realization
realization
realization_preview
realization_space
realize
realize_maximally_on_open_subset
realize_on_open_subset
realize_on_patch
recession_cone
recognize
reconstruct
reconstruct
reduce
reduce
reduce
reduce
reduce
reduce!
reduce_full
reduce_ideal
reduce_mod
reduce_mod
reduce_with_quotients
reduce_with_quotients_and_unit
reduced_characteristic_polynomial
reduced_discriminant
reduced_expressions
reducible_fibers
reflect
reflect
reflect!
reflect!
regular_120_cell
regular_24_cell
regular_600_cell
regular_character
regular_character
regular_triangulation
regular_triangulations
regulator
relations
relative_ambient_dimension
relative_class_number
relative_interior_point
relative_simple_extension
relators
rels
rem!
rem_edge!
rem_vertex!
rem_vertices!
remove
remove
representation_from_weights
representation_matrix
representation_matrix
representation_matrix
representation_on_forms
representative
representative
representative
representative
representative
representative
representative
representative
representative
representative
representatives
representatives
representatives_of_hermitian_type
representatives_of_hermitian_type
representatives_of_hermitian_type
represents
represents
rescale
rescale
rescale
rescale
rescale
rescale
rescale
rescale
rescale
reshape_to_varnames
residue_field
residue_ring
resolution_generating_sections
resolution_zero_sections
resolutions
resolve
resolvent
restrict
restrict
restrict
restrict
restrict
restrict
restrict_automorphism
restrict_homomorphism
restrict_scalars
restricted_map
restriction
resultant
resx
reverse
reverse
reverse
reverse
reverse
reverse_rows!
revlex_basis_encoding
reynolds_operator
reynolds_operator
reynolds_operator
rgamma
rgamma
rgamma
rgamma
right_acting_group
right_bound
right_coset
right_cosets
right_ideal
right_transversal
ring
ring_class_field
ring_class_group
ring_of_multipliers
rising_factorial
rising_factorial
rising_factorial
rising_factorial
rising_factorial
rising_factorial
rising_factorial
rising_factorial
rising_factorial
rising_factorial2
rising_factorial2
rising_factorial2
rising_factorial2
root
root
root
root
root
root
root_lattice
root_lattice_recognition
root_lattice_recognition_fundamental
root_of_unity
root_of_unity
root_of_unity
root_of_unity
root_of_unity_as_args
root_system
root_system
root_system
root_system
root_system
root_system
root_system
root_system_type
root_system_type_with_ordering
roots
roots
roots
roots
roots
roots
roots
roots_upper_bound
roots_upper_bound
rothe_matrix
row
rowlength
rref
rref_rational
rsqrt
rsqrt
rsqrt
rsqrt
rss_associahedron
saturate
saturate
saturated_ideal
saturation
saturation
saturation_with_index
saturation_with_index
save
save_lp
save_mps
scalar_matrix
scalar_product
scale
scale
scale
scale
scale
scale
scale
scale
scale_row!
scales
scheme
scheme
scheme
schensted
schubert_class
schubert_classes
schubert_classes
schur_cover
schur_index
schur_multiplier
schur_polynomial
secondary_cone
secondary_cone
secondary_invariants
secondary_polytope
section
sectional_genus
segre_class
semi_invariants
semidirect_product
semistandard_tableaux
separating_hyperplanes
series_extension
set_assertion_level
set_attribute!
set_coefficient!
set_coordinate_names
set_coordinate_names_of_torus
set_global_tate_model
set_html_as_latex
set_mordell_weil_basis!
set_name!
set_precision!
set_precision!
set_theoretic_intersection
set_theoretic_intersection
set_variable!
set_verbosity_level
set_weierstrass_model
setbit!
setindex!
setindex!
setpermstyle
setunion
setunion
setyoungtabstyle
shape
sheaf_cohomology
shift_left
shift_left
shift_left
shift_right
shift_right
shift_right
short_vectors
short_vectors_iterator
shortest_path_dijkstra
shortest_vectors
show
show
show_OD_info
show_with_ODs
sign
sign
sign
sign
sign
sign
sign
sign
sign_imag
sign_real
signature
signature
signature
signature
signature
signature
signature_tuple
signature_tuple
signature_tuple
signatures
signatures
signed_permutahedron
signs
similarity!
simple_coroot
simple_coroots
simple_extension
simple_root
simple_roots
simplest_between
simplest_rational_inside
simplest_rational_inside
simplex
simplicial_complex
simplified_dual_graph
simplified_fp_group
simplified_simple_extension
simplify
simplify
simplify
simplify
simplify
simplify
sin
sin_integral
sin_integral
sincospi
singular_loci
singular_loci
singular_loci
sinh_integral
sinh_integral
sinpi
size
size
size
size
small_generating_set
small_group
small_group_identification
smaller_degree_permutation_representation
snf
snf
snf
snf
snf
snf
snf_diagonal
snf_with_transform
snub_cube
snub_dodecahedron
socle
solvable_radical
solve
solve
solve_dixon_sf
solve_ineq
solve_init
solve_lp
solve_milp
solve_mixed
solve_mixed
solve_non_negative
space
spanning_sets
sparse
sparse_matrix
sparse_matrix
sparse_matrix
sparse_matrix
sparse_matrix
sparse_row
sparse_row
sparse_row
sparse_row
sparsity
spec
spec
spec
special_linear_group
special_linear_lie_algebra
special_orthogonal_group
special_orthogonal_lie_algebra
special_unitary_group
specialized_fourier_transform
splitting_of_hermitian_prime_power
splitting_of_mixed_prime_power
splitting_of_prime_power
splitting_of_pure_mixed_prime_power
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt
sqrt1pm1
sqrt1pm1
sqrtmod
sqrtpos
sqrtpos
src
stabilizer
stabilizer
stable_set_polytope
stable_submodules
standard_basis
standard_basis_with_transformation_matrix
standard_finite_field
standard_module
standard_tableaux
stanley_reisner_ideal
stanley_reisner_ideal
stanley_reisner_ideal
stanley_reisner_ideal
stanley_reisner_ring
stanley_reisner_ring
star_subcomplex
star_subdivision
star_subdivision
state_space
straight_line_program
strictly_lower_triangular_matrix
strictly_upper_triangular_matrix
strong_echelon_form
strong_echelon_form
structure_constant_algebra
structure_constant_algebra
structure_constant_table
structure_map
structure_sheaf
su5_tate_model_over_arbitrary_3d_base
su5_weierstrass_model_over_arbitrary_3d_base
sub
sub
sub
sub
sub
sub
sub
sub
sub
sub
sub
sub
sub
sub
sub!
subalgebra_membership
subdivision_of_points
subdivision_of_points
subfields
subfields
subgroup_classes
subgroups
subgroups
submodules
submul!
subquotient
subscheme
subscheme
subsets
subsets
subsets
subst
subsystem
sum
sum_equivalent_classes
summands
sunit_group
sunit_group_fac_elem
sunit_mod_units_group_fac_elem
supermodule
supermodule
support_function
swap_cols
swap_cols!
swap_cols!
swap_rows
swap_rows!
swap_rows!
swinnerton_dyer
sylow_subgroup
sylow_subgroup
sylow_system
sylvester_matrix
symbol
symbols
symbols
symbols
symmetric_form
symmetric_group
symmetric_parts
symmetric_power
symmetric_power
symmetric_power
symmetrizations
symplectic_components
symplectic_group
symplectic_lie_algebra
syzygy_generators
t2
table_of_marks
table_of_marks
table_of_marks
tail
tail
tan
tangent_bundle
tangent_bundle
tangent_lines
tangent_lines
tangent_sheaf
tangent_space
tangent_space
tanpi
tate_ideal_sheaf
tate_polynomial
tate_section_a1
tate_section_a2
tate_section_a3
tate_section_a4
tate_section_a6
tautological_bundle
tautological_bundles
taxa
teichmuller
teichmuller
tensor_power
tensor_product
tensor_product
tensor_product
tensor_product
tensor_product
tensor_product
tensor_product
tensor_ring
terse
test_experimental_module
test_module
tetrahedron
theta_qexp
to_univariate
todd_class
todd_class
top_chern_class
topological_intersection_numbers_among_ci_curves
topological_intersection_numbers_among_nontrivial_ci_curves
tor
toric_divisor
toric_divisor
toric_divisor
toric_divisor_class
toric_divisor_class
toric_divisor_class
toric_divisor_class
toric_ideal
toric_ideal
toric_ideal
toric_identity_morphism
toric_line_bundle
toric_line_bundle
toric_line_bundle
toric_line_bundle
toric_line_bundle
toric_line_bundle
toric_morphism
toric_morphism
toric_variety
toric_variety
toric_variety
toric_variety
toric_variety
toric_variety
toric_variety
torsion_free_rank
torsion_quadratic_module
torsion_quadratic_module
torsion_subgroup
torsion_unit_group
torsion_unit_order
torsion_units
torsion_units_gen_order
torsion_units_generator
torus
torus_group
torusinvariant_cartier_divisor_group
torusinvariant_prime_divisors
torusinvariant_weil_divisor_group
total_chern_class
total_complex
total_pontryagin_class
total_segre_class
total_space
total_transform
tr
tr
tr
tr
tr
tr
trace_matrix
trace_of_frobenius
trace_of_frobenius
trailing_coefficient
trailing_coefficient
trailing_coefficient
trailing_zeros
transform_row
transform_row!
transition_matrices
transitive_group
transitive_group_identification
transitivity
translation_morphism
transportation_polytope
transpose
transpose
trim
trim
trim
trim
trivial_character
trivial_character
trivial_divisor
trivial_divisor_class
trivial_lattice
trivial_line_bundle
trivial_line_bundle
trivial_module
trivial_morphism
trivial_subgroup
trivializing_covering
tropical_hypersurface
tropical_linear_space
tropical_matrix
tropical_median_consensus
tropical_pluecker_vector
tropical_polynomial
tropical_polynomial
tropical_semiring
tropical_semiring_map
tropical_semiring_map
tropical_semiring_map
tropical_semiring_map
tropical_variety
tropical_variety
truncate
truncate
truncate
truncate
truncate
truncate
truncate
tstbit
tune
tune
tune
tutte_connectivity
tutte_polynomial
twist
twisting_sheaf
two_neighbor_step
two_sided_ideal
type
undefined
underlying_morphism
underlying_scheme
underlying_scheme
underlying_scheme
uniform_hypergraph
uniform_matroid
uniformizer
unique_integer
unique_integer
unique_integer
unique_integer
unique_integer
unique_integer
unit
unit
unit_group
unit_group_fac_elem
unit_group_rank
unitary_group
universal_polynomial_ring
unknown
unknowns
unramified_extension
unsigned_infinity
update_mwl_basis!
upgrade
upgrade_data
upper_bound
upper_bound
upper_central_series
upper_triangular_matrix
upper_triangular_matrix
valence_mc
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
valuation
value_module
value_module_quadratic_form
vamos_matroid
vanishing_ideal
vanishing_ideal
vanishing_ideal
vanishing_ideal
vanishing_ideal
vanishing_sets
var
var
var_index
variable_names
variety
variety
variety
variety
variety
variety
variety
variety
vars
vcat
vcat!
vector_space
vector_space_dimension
verify_euler_characteristic_from_hodge_numbers
veronese
versioninfo
vertex_edge_graph
vertex_figure
vertex_sizes
vertical_connectivity
vertical_direction
vertical_map
vertices
vertices
vertices
vertices
vertices_and_rays
vertices_and_rays
vinberg_algorithm
visualize
visualize
volume
volume
volume_form
walls
wdeglex
wdegrevlex
weak_composition
weak_compositions
weak_popov
weak_popov_with_transform
weierstrass_chart
weierstrass_chart_on_minimal_model
weierstrass_contraction
weierstrass_ideal_sheaf
weierstrass_model
weierstrass_model
weierstrass_model
weierstrass_model
weierstrass_model
weierstrass_model
weierstrass_model_over_del_pezzo_surface
weierstrass_model_over_hirzebruch_surface
weierstrass_model_over_projective_space
weierstrass_p
weierstrass_p
weierstrass_polynomial
weierstrass_section_f
weierstrass_section_g
weight
weight_cone
weight_lattice
weight_ordering
weighted_projective_space
weighted_resolution_generating_sections
weighted_resolution_zero_sections
weighted_resolutions
weights
weil_divisor
weil_divisor
weil_divisor
weil_divisor
well_quantized_ambient_space_models_of_g4_fluxes
well_quantized_and_vertical_ambient_space_models_of_g4_fluxes
weyl_algebra
weyl_group
weyl_group
weyl_group
weyl_group
weyl_vector
weyl_vector
wildanger_field
with_ordering
witt_index
witt_invariant
witt_invariant
word
wreath_product
write_as_full
young_tableau
zero
zero
zero
zero
zero
zero
zero
zero
zero
zero
zero!
zero_algebra
zero_locus_section
zero_map
zero_map
zero_matrix
zero_matrix
zero_section
zeta
zeta
zeta
zeta
zeta
zeta
zeta
zeta
zeta
zeta
zeta_log_residue
zonotope
zonotope_vertices_fukuda_matrix
@CI_str
@attr
@attributes
@free_group
@hassert
@import_all_serialization_functions
@perm
@perm_str
@permutation_group
@polynomial_ring
@register_serialization_type
@req
@show_name
@show_special
@show_special_elem
@v_do
@varnames_interface
@vprint
@vprintln