Index

A

absolute_bound_filter() (in module FiSGO.OrderSearch)

add_lists() (in module FiSGO.OrderSearch) Alternating (class in FiSGO.SimpleGroups)

B

BiParamSimpleGroup (class in FiSGO.SimpleGroups) build_absolute_bound() (in module FiSGO.PIrrepsSearch)

build_bounds() (in module FiSGO.PIrrepsSearch) build_single_bound() (in module FiSGO.PIrrepsSearch)

C

candidate_from_power() (in module FiSGO.OrderSearch) candidates_2E() (in module FiSGO.OrderSearch) candidates_3D() (in module FiSGO.OrderSearch) candidates_AA() (in module FiSGO.OrderSearch) candidates_CA() (in module FiSGO.OrderSearch) candidates_CB() (in module FiSGO.OrderSearch) candidates_CC() (in module FiSGO.OrderSearch) candidates_CD() (in module FiSGO.OrderSearch) candidates_E6() (in module FiSGO.OrderSearch) candidates_E7() (in module FiSGO.OrderSearch) candidates_E8() (in module FiSGO.OrderSearch) candidates_exceptional_chevalley() (in module FiSGO.OrderSearch) candidates_F4() (in module FiSGO.OrderSearch) candidates_G2() (in module FiSGO.OrderSearch) candidates_RF() (in module FiSGO.OrderSearch) candidates_RG() (in module FiSGO.OrderSearch) candidates_SA() (in module FiSGO.OrderSearch) candidates_SD() (in module FiSGO.OrderSearch) candidates_SP() (in module FiSGO.OrderSearch) candidates_SZ() (in module FiSGO.OrderSearch) candidates_TT() (in module FiSGO.OrderSearch) char_check() (in module FiSGO.SimpleGroups) check_candidate() (in module FiSGO.OrderSearch) ChevalleyA (class in FiSGO.SimpleGroups) ChevalleyB (class in FiSGO.SimpleGroups) ChevalleyC (class in FiSGO.SimpleGroups) ChevalleyD (class in FiSGO.SimpleGroups) clear_duplicates() (in module FiSGO.OrderSearch) code() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

code_normalizer() (in module FiSGO.SimpleGroups) compute_multiplier() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method) compute_order() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method) contained_power() (in module FiSGO.PrimesHandler) Cyclic (class in FiSGO.SimpleGroups)

D

div_scanned() (in module FiSGO.OrderSearch)

E

ExcetionalChevalleyE6 (class in FiSGO.SimpleGroups) ExcetionalChevalleyE7 (class in FiSGO.SimpleGroups) ExcetionalChevalleyE8 (class in FiSGO.SimpleGroups)

ExcetionalChevalleyF4 (class in FiSGO.SimpleGroups) ExcetionalChevalleyG2 (class in FiSGO.SimpleGroups) ExcetionalSteinberg2E6 (class in FiSGO.SimpleGroups) ExcetionalSteinberg3D4 (class in FiSGO.SimpleGroups)

F

factor() (in module FiSGO.PrimesHandler) factorial_factor() (in module FiSGO.PIrrepsSearch) FiSGO module FiSGO.OrderSearch module FiSGO.PIrrepsSearch module FiSGO.PrimesHandler module FiSGO.SimpleGroups module from_code() (Alternating class method) (BiParamSimpleGroup class method) (ChevalleyA class method) (ChevalleyB class method) (ChevalleyC class method) (ChevalleyD class method) (Cyclic class method) (ExcetionalChevalleyE6 class method) (ExcetionalChevalleyE7 class method) (ExcetionalChevalleyE8 class method) (ExcetionalChevalleyF4 class method) (ExcetionalChevalleyG2 class method) (ExcetionalSteinberg2E6 class method) (ExcetionalSteinberg3D4 class method) (Ree2F4 class method) (Ree2G2 class method) (SimpleGroup class method) (Sporadic class method) (Steinberg2A class method) (Steinberg2D class method) (Suzuki class method) (Tits class method) (UniParamSimpleGroup class method)

from_id() (Alternating class method) (BiParamSimpleGroup class method) (ChevalleyA class method) (ChevalleyB class method) (ChevalleyC class method) (ChevalleyD class method) (Cyclic class method) (ExcetionalChevalleyE6 class method) (ExcetionalChevalleyE7 class method) (ExcetionalChevalleyE8 class method) (ExcetionalChevalleyF4 class method) (ExcetionalChevalleyG2 class method) (ExcetionalSteinberg2E6 class method) (ExcetionalSteinberg3D4 class method) (Ree2F4 class method) (Ree2G2 class method) (Steinberg2A class method) (Steinberg2D class method) (Suzuki class method) (UniParamSimpleGroup class method)

G

GAP_name() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

H

hiss_malle_data() (in module FiSGO.SimpleGroups) hiss_malle_lookup() (in module FiSGO.SimpleGroups) hiss_malle_pirreps() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

hiss_malle_range() (in module FiSGO.PIrrepsSearch)

I

id (Sporadic property) id_list() (Sporadic class method) is_power() (in module FiSGO.PrimesHandler) is_prime() (in module FiSGO.PrimesHandler) isomorphisms() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

L

latex_name() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method) lubeck_bulk_get() (in module FiSGO.PIrrepsSearch)

lubeck_data() (in module FiSGO.SimpleGroups) lubeck_exceptional_data() (in module FiSGO.SimpleGroups) lubeck_pirreps() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

M

modularity_group() (in module FiSGO.SimpleGroups) module FiSGO FiSGO.OrderSearch FiSGO.PIrrepsSearch FiSGO.PrimesHandler FiSGO.SimpleGroups multiplier() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

N

normalized_code() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

nth_prime() (in module FiSGO.PrimesHandler)

O

order() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

order_search_logger() (in module FiSGO.OrderSearch)

P

p_sylow_power() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method) par_value() (Alternating method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (Suzuki method) (UniParamSimpleGroup method)

pirrep_degrees() (Sporadic method) pirreps_degrees() (Tits method) pirreps_search() (in module FiSGO.PIrrepsSearch) powers_sequence() (in module FiSGO.OrderSearch) prime_bound_compatiblity() (in module FiSGO.OrderSearch) prime_list() (in module FiSGO.PrimesHandler) prime_reconstructor() (in module FiSGO.PrimesHandler) prime_scanner() (in module FiSGO.PrimesHandler) prime_scanner_local() (in module FiSGO.PrimesHandler) primes() (in module FiSGO.PrimesHandler) primes_lt() (in module FiSGO.PrimesHandler) primes_lt_list() (in module FiSGO.PrimesHandler) prod_scanned() (in module FiSGO.OrderSearch)

Q

q_value() (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Steinberg2A method) (Steinberg2D method)

R

Ree2F4 (class in FiSGO.SimpleGroups)

Ree2G2 (class in FiSGO.SimpleGroups)

S

simple_group() (in module FiSGO.SimpleGroups) simple_group_by_order() (in module FiSGO.OrderSearch) simple_group_ids() (in module FiSGO.SimpleGroups) SimpleGroup (class in FiSGO.SimpleGroups) smallest_factorial_from_bound() (in module FiSGO.OrderSearch) smallest_pirrep_degree() (Alternating method) (BiParamSimpleGroup method) (ChevalleyA method) (ChevalleyB method) (ChevalleyC method) (ChevalleyD method) (Cyclic method) (ExcetionalChevalleyE6 method) (ExcetionalChevalleyE7 method) (ExcetionalChevalleyE8 method) (ExcetionalChevalleyF4 method) (ExcetionalChevalleyG2 method) (ExcetionalSteinberg2E6 method) (ExcetionalSteinberg3D4 method) (Ree2F4 method) (Ree2G2 method) (SimpleGroup method) (Sporadic method) (Steinberg2A method) (Steinberg2D method) (Suzuki method) (Tits method) (UniParamSimpleGroup method)

Sporadic (class in FiSGO.SimpleGroups) sporadic_group_ids() (in module FiSGO.SimpleGroups) sporadic_groups_data() (in module FiSGO.SimpleGroups) sporadic_lookup_property() (in module FiSGO.SimpleGroups) Steinberg2A (class in FiSGO.SimpleGroups) Steinberg2D (class in FiSGO.SimpleGroups) substract_lists() (in module FiSGO.OrderSearch) Suzuki (class in FiSGO.SimpleGroups)

T

Tits (class in FiSGO.SimpleGroups)

U

UniParamSimpleGroup (class in FiSGO.SimpleGroups)

V

validate_id() (Sporadic method)