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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346############################################################################# ## #A trans16b.grp GAP group library Alexander Hulpke ## ## #Y Copyright (C) 2001, Alexander Hulpke, Colorado State University ## ## This file contains part of the transitive groups of degree 16 ## TRANSGRP[16]{[301..600]}:= [[(9,10)(11,12)(13,14)(15,16),(3,4)(7,8)(11,12)(15,16), (1,4,2,3)(5,7,6,8)(9,12,10,11)(13,16,14,15), (1,5,2,6)(3,8,4,7)(9,16,10,15)(11,14,12,13), (1,9)(2,10)(3,12)(4,11)(5,15,6,16)(7,13,8,14),"t16n301"], [(1,6)(2,5)(3,12)(4,11)(9,14)(10,13), (1,4,14,7,10,11,5,16)(2,3,13,8,9,12,6,15),(1,6,10,13)(2,5,9,14)(3,12) (4,11)(7,16)(8,15),"t16n302"], [(9,10)(11,12)(13,14)(15,16),(1,4,2,3)(9,10)(11,12)(13,16,14,15), (1,12,2,11)(3,10,4,9)(5,14,6,13)(7,16,8,15), (1,14,2,13)(3,16,4,15)(5,10,6,9)(7,11,8,12),"t16n303"], [(1,11)(2,12)(3,10)(4,9)(5,13,6,14)(7,16,8,15), (1,12,4,9)(2,11,3,10)(5,16,7,14)(6,15,8,13),(1,13)(2,14)(3,16)(4,15)(5,12) (6,11)(7,9)(8,10),"t16n304"], [(1,14,4,16,2,13,3,15)(5,12,8,10,6,11,7,9),(1,3)(2,4)(5,7)(6,8)(9,12) (10,11)(13,15)(14,16),(1,8,2,7)(3,5,4,6)(9,16)(10,15)(11,14)(12,13), "t16n305"], [(1,11,6,15,4,10,7,13,2,12,5,16,3,9,8,14),(1,5,4,8,2,6,3,7) (9,13,12,15,10,14,11,16),"t16n306"], [(1,5,4,8,2,6,3,7)(9,14,11,15,10,13,12,16), (1,10,3,12,2,9,4,11)(5,13,7,16,6,14,8,15), (1,15)(2,16)(3,14)(4,13)(5,12,6,11)(7,10,8,9),"t16n307"], [(1,2)(3,4)(5,6)(7,8),(1,6)(2,5)(3,7)(4,8)(9,14)(10,13)(11,16)(12,15), (1,6,2,5)(3,8,4,7)(9,16,10,15)(11,13,12,14),(1,8)(2,7)(5,6)(9,12)(10,11) (13,14),(1,9,2,10)(3,16,4,15)(5,13,6,14)(7,11,8,12),"t16n308"], [(9,10)(11,12)(13,14)(15,16),(1,4)(2,3)(5,7)(6,8)(9,12)(10,11)(13,15)(14,16), (1,9,2,10)(3,11,4,12)(5,16,6,15)(7,14,8,13),(1,15,2,16)(3,14,4,13)(5,6) (11,12),"t16n309"], [(1,14,4,16)(2,13,3,15)(5,12,7,10)(6,11,8,9),(1,7)(2,8)(3,5,4,6)(9,15) (10,16)(11,14,12,13),(1,8)(2,7)(3,5,4,6)(9,15)(10,16)(11,13,12,14), "t16n310"], [(1,6,3,8,2,5,4,7)(9,13,12,15,10,14,11,16),(1,9,4,11,2,10,3,12) (5,14,7,16,6,13,8,15),(1,12,2,11)(3,10,4,9)(5,13)(6,14)(7,15)(8,16), "t16n311"],[(9,10)(11,12)(13,14)(15,16),(1,2)(5,7)(6,8)(9,11)(10,12)(13,14), (1,4,2,3)(5,8,6,7)(9,11,10,12)(13,16,14,15), (1,6,3,7,2,5,4,8)(9,15,12,13,10,16,11,14),(1,9)(2,10)(3,12)(4,11)(5,15) (6,16)(7,14)(8,13),"t16n312"], [(9,10)(11,12)(13,14)(15,16),(3,4)(7,8)(11,12)(15,16), (1,3)(2,4)(5,7)(6,8)(9,12)(10,11)(13,16)(14,15), (1,5,2,6)(3,8,4,7)(9,16,10,15)(11,14,12,13), (1,9)(2,10)(3,12)(4,11)(5,15,6,16)(7,13,8,14),"t16n313"], [(5,8,6,7)(9,10)(11,12)(13,16,14,15),(1,13,12,5)(2,14,11,6)(3,16,10,7) (4,15,9,8),(1,12)(2,11)(3,10)(4,9)(5,16,6,15)(7,14,8,13),"t16n314"], [(1,8)(2,7)(3,6)(4,5)(9,14)(10,13)(11,15)(12,16), (1,11,6,14)(2,12,5,13)(3,9,7,16)(4,10,8,15), (1,12,5,13,2,11,6,14)(3,9,8,16,4,10,7,15),"t16n315"], [(1,13,2,14)(3,16,4,15)(5,11,6,12)(7,10,8,9), (1,7)(2,8)(3,5)(4,6)(9,14,10,13)(11,16,12,15),(1,15,2,16)(3,13,4,14)(5,12) (6,11)(7,10)(8,9),"t16n316"], [(1,6,2,5)(3,8,4,7)(9,15)(10,16)(11,14)(12,13), (1,4,2,3)(5,7,6,8)(9,11,10,12)(13,15,14,16), (1,15,5,9)(2,16,6,10)(3,14,8,12)(4,13,7,11),"t16n317"], [(1,13,3,16)(2,14,4,15)(5,12,7,10)(6,11,8,9), (1,10,3,11)(2,9,4,12)(5,14,8,15)(6,13,7,16),(1,12)(2,11)(3,10)(4,9)(5,13) (6,14)(7,16)(8,15),"t16n318"], [(1,8,5,4)(2,7,6,3)(9,10)(11,15,12,16),(1,9,5,14)(2,10,6,13)(3,16,8,11) (4,15,7,12),(1,13,2,14)(3,11,4,12)(5,10,6,9)(7,15,8,16),"t16n319"], [(9,10)(11,12)(13,14)(15,16),(1,5,3,8)(2,6,4,7)(9,13,12,15)(10,14,11,16), (1,6)(2,5)(3,8)(4,7)(9,15)(10,16)(11,13)(12,14), (1,14,2,13)(3,16,4,15)(5,9,6,10)(7,11,8,12),"t16n320"], [(1,6,3,7,2,5,4,8)(9,15,12,13,10,16,11,14), (1,2)(3,4)(5,8,6,7)(9,12,10,11)(13,14)(15,16), (1,16,3,14,2,15,4,13)(5,10,8,11,6,9,7,12),"t16n321"], [(1,5,11,14)(2,6,12,13)(3,7,9,15)(4,8,10,16),(1,4,2,3)(9,12,10,11), (1,14,11,6)(2,13,12,5)(3,15,9,8)(4,16,10,7),"t16n322"], [(1,3,5,7)(2,4,6,8)(9,12,13,15)(10,11,14,16), (1,14,2,13)(3,11,8,16)(4,12,7,15)(5,9,6,10),"t16n323"], [(1,14,4,15,2,13,3,16)(5,12,8,10,6,11,7,9),(3,4)(7,8)(9,10)(13,14), (1,11,2,12)(3,10,4,9)(5,14)(6,13)(7,15)(8,16),"t16n324"], [(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)(9,15)(10,16)(11,13)(12,14), (1,8)(2,7)(3,5)(4,6),(1,14,2,13)(3,12,4,11)(5,9,6,10)(7,16,8,15),"t16n325"], [(1,10,2,9)(3,11,4,12)(5,15,6,16)(7,14,8,13), (1,4,2,3)(7,8)(11,12)(13,16,14,15),(1,8,4,6)(2,7,3,5)(9,16,11,13) (10,15,12,14),"t16n326"], [(5,7,6,8)(13,15,14,16),(1,14,12,5,2,13,11,6)(3,15,10,7,4,16,9,8), (1,11)(2,12)(3,9)(4,10)(5,15)(6,16)(7,13)(8,14),"t16n327"], [(9,12,10,11)(13,15,14,16),(1,2)(3,6)(4,5)(9,11)(10,12)(13,14), (1,4,2,3)(5,7,6,8)(9,16,10,15)(11,13,12,14), (1,14,2,13)(3,11,4,12)(5,10,6,9)(7,16,8,15),"t16n328"], [(9,10)(11,12)(13,14)(15,16),(3,4)(7,8)(11,12)(15,16), (1,5)(2,6)(3,7)(4,8)(9,13)(10,14)(11,15)(12,16), (1,10)(2,9)(3,11)(4,12)(5,15,6,16)(7,14,8,13),"t16n329"], [(1,4,2,3)(5,16,13,8)(6,15,14,7)(9,11,10,12), (1,4,6,7,9,11,14,15)(2,3,5,8,10,12,13,16),"t16n330"], [(1,3)(2,4)(7,8)(11,12)(13,16)(14,15),(1,13,2,14)(3,16,4,15)(5,11)(6,12)(7,10) (8,9),(1,9,2,10)(3,12,4,11)(5,15)(6,16)(7,14)(8,13),"t16n331"], [(1,6)(2,5)(3,8)(4,7)(9,15,10,16)(11,14,12,13), (1,10,2,9)(3,15,4,16)(5,13,6,14)(7,11,8,12), (1,3)(2,4)(5,7)(6,8)(9,11,10,12)(13,16,14,15),"t16n332"], [(1,13,9,5)(2,14,10,6)(3,7,12,15)(4,8,11,16), (1,5,9,13)(2,6,10,14)(3,8,4,7)(11,15,12,16), (1,12,9,3)(2,11,10,4)(5,8,13,16)(6,7,14,15),"t16n333"], [(1,4,2,3)(5,6)(7,8)(13,15,14,16),(1,11,2,12)(3,9,4,10)(5,14)(6,13)(7,16) (8,15),(1,6,2,5)(3,7,4,8)(9,13)(10,14)(11,15)(12,16),"t16n334"], [(1,7,5,3,2,8,6,4)(9,11,10,12)(13,15,14,16), (1,10,5,14,2,9,6,13)(3,12,8,15,4,11,7,16),"t16n335"], [(1,6,2,5)(3,8,4,7)(9,15,10,16)(11,13,12,14),(1,16)(2,15)(3,13)(4,14)(5,6) (11,12),(1,8)(2,7)(3,5)(4,6)(9,13,10,14)(11,16,12,15),"t16n336"], [(1,12,2,11)(3,14,4,13)(5,16,6,15)(7,9,8,10), (1,16,8,14,2,15,7,13)(3,9,5,11,4,10,6,12),(1,7)(2,8)(3,5)(4,6)(9,16) (10,15)(11,14)(12,13),"t16n337"], [(1,3,2,4)(5,7,6,8)(9,12)(10,11)(13,16)(14,15), (1,11,3,13,2,12,4,14)(5,16,7,9,6,15,8,10), (5,6)(7,8)(9,15,10,16)(11,14,12,13),"t16n338"], [(1,12,14,8,9,3,6,15)(2,11,13,7,10,4,5,16), (1,3)(2,4)(5,16,14,8)(6,15,13,7)(9,12)(10,11),"t16n339"], [(1,8)(2,7)(3,6)(4,5)(9,14,10,13)(11,16,12,15), (1,10,2,9)(3,12,4,11)(5,16,6,15)(7,14,8,13),(1,3,2,4)(5,11)(6,12)(7,10) (8,9)(13,15,14,16),"t16n340"], [(1,12,16,14,2,11,15,13)(3,10,6,8,4,9,5,7),(1,6,2,5)(7,9,12,14)(8,10,11,13) (15,16),(1,12,3,14)(2,11,4,13)(5,7,16,10)(6,8,15,9),"t16n341"], [(1,14)(2,13)(3,16)(4,15)(5,11,6,12)(7,9,8,10),(1,11)(2,12)(3,9)(4,10)(5,13) (6,14)(7,15)(8,16),(1,11,15,7)(2,12,16,8)(3,10,13,6)(4,9,14,5),"t16n342" ], [(1,13)(2,14)(3,12)(4,11)(5,9)(6,10)(7,15)(8,16),(1,3)(2,4)(5,8)(6,7) (9,12,14,15,10,11,13,16),"t16n343"], [(1,7,2,8)(3,5,4,6)(9,13)(10,14)(11,15)(12,16),(1,4,2,3)(5,12)(6,11)(7,9) (8,10)(13,16,14,15),(1,11,15,8)(2,12,16,7)(3,9,13,6)(4,10,14,5),"t16n344"] , [(1,9,15,5,2,10,16,6)(3,12,13,8,4,11,14,7),(1,13,2,14)(3,16,4,15)(5,8,6,7) (9,11,10,12),(1,8,16,11)(2,7,15,12)(3,6,14,9)(4,5,13,10),"t16n345"], [(1,16,4,9,6,11,8,13,2,15,3,10,5,12,7,14), (1,14,8,16,5,9,4,11,2,13,7,15,6,10,3,12),"t16n346"], [(1,13,9,5)(2,14,10,6)(3,7,12,15)(4,8,11,16),(1,7,10,16)(2,8,9,15)(3,13) (4,14)(5,12)(6,11),(1,5,9,13)(2,6,10,14)(3,16,4,15)(7,12,8,11),"t16n347" ], [(1,5,3,8,2,6,4,7)(9,14,12,16,10,13,11,15),(1,13,9,5,4,16,12,8,2,14,10,6, 3,15,11,7),"t16n348"], [(1,12)(2,11)(3,14)(4,13)(5,15)(6,16)(7,10)(8,9), (3,4)(7,8)(9,16)(10,15)(11,14)(12,13),(1,2)(3,4)(9,11)(10,12)(13,15)(14,16), "t16n349"], [(1,7,10,16)(2,8,9,15)(3,6,12,14)(4,5,11,13),(1,14,10,6)(2,13,9,5) (3,15,4,16)(7,12,8,11),(3,4)(5,6)(7,15)(8,16)(11,12)(13,14),"t16n350"], [(1,6,2,5)(3,8,4,7),(1,5)(2,6)(3,4)(9,12,10,11)(13,15,14,16), (1,12,4,13,5,16,8,10,2,11,3,14,6,15,7,9),"t16n351"], [(3,4)(5,6)(9,15)(10,16)(11,14)(12,13),(1,8,2,7)(3,5,4,6)(11,12)(13,14), (1,14,2,13)(3,11,4,12)(5,10,6,9)(7,16,8,15),"t16n352"], [(1,7,4,5,2,8,3,6)(9,16,11,14,10,15,12,13),(1,15,2,16)(3,14,4,13)(5,9) (6,10)(7,12)(8,11),(5,8,6,7)(9,11,10,12)(13,14)(15,16),"t16n353"], [(1,11,4,9)(2,12,3,10)(5,16,7,13)(6,15,8,14), (1,5,4,8)(2,6,3,7)(9,15,12,14)(10,16,11,13), (1,13,4,16)(2,14,3,15)(5,12,7,10)(6,11,8,9),"t16n354"], [(1,7,6,4,2,8,5,3)(9,16,13,11,10,15,14,12),(1,7,2,8)(3,5,4,6)(9,15) (10,16)(11,13)(12,14),(1,13,8,12,6,10,3,16,2,14,7,11,5,9,4,15),"t16n355"], [(1,9,8,11,5,13,4,15,2,10,7,12,6,14,3,16),(1,2)(3,7)(4,8)(9,14)(10,13) (11,12),"t16n356"], [(1,6)(2,5)(3,7)(4,8)(9,16)(10,15)(11,13)(12,14),(1,11,7,10,2,12,8,9) (3,13,6,16,4,14,5,15),(1,10,4,16,2,9,3,15)(5,13,7,11,6,14,8,12), "t16n357"], [(1,13,2,14)(3,16)(4,15)(5,10,6,9)(7,11)(8,12),(1,12,2,11)(3,10,4,9)(5,16) (6,15)(7,13)(8,14),(1,16,2,15)(3,13,4,14)(5,11,6,12)(7,9,8,10),"t16n358" ], [(1,16)(2,15)(3,13)(4,14)(5,6)(9,10),(1,8)(2,7)(3,5)(4,6)(9,13)(10,14) (11,16)(12,15),(1,13,2,14)(3,16,4,15)(5,12)(6,11)(7,9)(8,10),"t16n359"], [(1,3,2,4)(5,6)(7,8)(9,10)(11,12)(13,15,14,16), (1,6,3,7,2,5,4,8)(9,16,11,13,10,15,12,14), (1,10,2,9)(3,11,4,12)(5,16,6,15)(7,13,8,14),"t16n360"], [(1,10,6,14,2,9,5,13)(3,16,7,12,4,15,8,11), (1,15,4,13,2,16,3,14)(5,12,8,10,6,11,7,9),"t16n361"], [(1,6)(2,5)(7,8)(9,10)(11,16)(12,15),(1,10,8,11)(2,9,7,12)(3,16,5,13) (4,15,6,14),"t16n362"], [(1,13,5,10)(2,14,6,9)(3,15)(4,16)(7,11,8,12),(1,11,5,16)(2,12,6,15)(3,13) (4,14)(7,10,8,9),"t16n363"], [(1,2)(3,4)(5,6)(7,16)(8,15)(9,10)(11,12)(13,14), (1,12,9,4)(2,11,10,3)(5,8,14,16)(6,7,13,15), (1,6)(2,5)(3,15,11,7)(4,16,12,8)(9,13)(10,14),"t16n364"], [(1,16,2,15)(3,5,4,6)(7,12,8,11)(9,14,10,13), (1,7,16,14,2,8,15,13)(3,10,6,11,4,9,5,12),(1,9)(2,10)(3,12)(4,11)(5,14) (6,13)(7,15)(8,16),"t16n365"], [(1,3)(2,4)(5,7)(6,8)(9,10)(11,12),(1,13,8,15)(2,14,7,16)(3,12,5,10) (4,11,6,9),(1,5,2,6)(3,7,4,8)(11,12)(13,14),"t16n366"], [(1,14,7,16)(2,13,8,15)(3,11,6,9)(4,12,5,10), (1,14,3,12,2,13,4,11)(5,9,7,16,6,10,8,15), (1,9,2,10)(3,15,4,16)(5,13,6,14)(7,12,8,11),"t16n367"], [(1,15,2,16)(3,14,4,13)(5,10)(6,9)(7,11)(8,12),(1,16,2,15)(3,14,4,13)(5,11) (6,12)(7,9)(8,10),(1,10,2,9)(3,11,4,12)(5,16,6,15)(7,13,8,14),"t16n368" ],[(1,15,3,13,2,16,4,14)(5,10,7,11,6,9,8,12),(1,2)(5,6)(11,12)(15,16), (1,10,3,12,2,9,4,11)(5,13,8,16,6,14,7,15),"t16n369"], [(1,15,6,11,2,16,5,12)(3,10,8,13,4,9,7,14),(1,5,2,6)(3,7,4,8)(9,12,10,11) (13,15,14,16),(1,14)(2,13)(3,11)(4,12)(5,10)(6,9)(7,16)(8,15),"t16n370"], [(1,8)(2,7)(3,5)(4,6)(9,15,10,16)(11,13,12,14), (1,6,11,14,3,7,9,15,2,5,12,13,4,8,10,16),"t16n371"], [(1,3)(2,4)(5,8,6,7)(9,12,10,11)(13,16)(14,15), (1,13,2,14)(3,16)(4,15)(5,10,6,9)(7,11)(8,12), (1,11,2,12)(3,9)(4,10)(5,16)(6,15)(7,13,8,14),"t16n372"], [(1,7,2,8)(3,13,4,14)(5,11,6,12)(9,15,10,16), (1,7)(2,8)(3,14,11,5)(4,13,12,6)(9,15)(10,16), (1,3,10,12)(2,4,9,11)(5,15,6,16)(7,13,8,14),"t16n373"], [(1,14,9,5,4,15,12,8,2,13,10,6,3,16,11,7), (1,12,4,10,2,11,3,9)(5,13,8,16,6,14,7,15), (1,8,3,6,2,7,4,5)(9,15,11,13,10,16,12,14),"t16n374"], [(1,14,2,13)(3,12,7,16)(4,11,8,15)(5,10)(6,9),(1,4,2,3)(5,7,6,8)(9,16) (10,15)(11,13)(12,14),"t16n375"], [(3,4)(7,15)(8,16)(11,12),(1,3,6,15)(2,4,5,16)(7,9,11,14)(8,10,12,13), (1,5)(2,6)(3,4)(7,8)(9,13)(10,14)(11,12)(15,16),"t16n376"], [(1,15,5,12)(2,16,6,11)(3,13)(4,14)(7,9,8,10), (1,14,6,9)(2,13,5,10)(3,11,4,12)(7,15)(8,16),"t16n377"], [(1,16,8,14,2,15,7,13)(3,9,5,11,4,10,6,12), (1,11,3,10,2,12,4,9)(5,16,8,14,6,15,7,13),"t16n378"], [(1,6)(2,5)(3,4)(9,11)(10,12)(13,15)(14,16),(1,5)(2,6)(7,8)(9,16)(10,15) (11,13)(12,14),(1,9,8,16,6,14,3,11,2,10,7,15,5,13,4,12),"t16n379"], [(1,12,6,16)(2,11,5,15)(3,14,8,9)(4,13,7,10), (1,13,4,11,2,14,3,12)(5,9,7,15,6,10,8,16), (1,15,8,13)(2,16,7,14)(3,10,5,12)(4,9,6,11),"t16n380"], [(1,3)(2,4)(5,8)(6,7)(9,14)(10,13)(11,16)(12,15), (3,4)(5,6)(9,13,10,14)(11,16,12,15),(1,10,8,11)(2,9,7,12)(3,16,5,13) (4,15,6,14),"t16n381"], 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(14,16),(1,12)(2,11)(3,10)(4,9)(5,13)(6,14)(7,15)(8,16), (1,15,9,5)(2,16,10,6)(3,14,12,7)(4,13,11,8),"t16n469"], [(9,10)(11,12)(13,14)(15,16),(1,7)(2,8)(3,5)(4,6)(9,16,11,13)(10,15,12,14), (1,12,4,10)(2,11,3,9)(5,14,8,15)(6,13,7,16), (1,12,4,10)(2,11,3,9)(5,16,8,13)(6,15,7,14),"t16n470"], [(9,10)(11,12)(13,14)(15,16),(1,2)(5,6)(9,11)(10,12)(13,15)(14,16), (1,4,2,3)(5,7,6,8),(1,5)(2,6)(3,8)(4,7)(9,14)(10,13)(11,16)(12,15), (1,9,6,13,2,10,5,14)(3,12,7,16,4,11,8,15),"t16n471"], [(9,10)(11,12)(13,14)(15,16),(3,4)(5,10)(6,9)(7,12)(8,11)(13,14), (1,7,4,5,2,8,3,6)(9,16,11,14,10,15,12,13), (1,12,2,11)(3,9,4,10)(5,13,6,14)(7,16,8,15),"t16n472"], [(1,2)(3,4)(5,6)(7,8),(1,5)(2,6)(9,10)(13,14),(1,7,2,8)(3,6,4,5)(9,12,10,11) (13,15,14,16),(1,13,2,14)(3,12,4,11)(5,10,6,9)(7,16,8,15),"t16n473"], [(1,5,4,8,2,6,3,7)(9,14,11,15,10,13,12,16),(1,3)(2,4)(5,6)(9,10)(13,15) (14,16),(1,14,2,13)(3,15,4,16)(5,7)(6,8)(9,12)(10,11),"t16n474"], 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[(9,10)(11,12)(13,14)(15,16),(1,6,3,7)(2,5,4,8)(9,16,11,14)(10,15,12,13), (1,6,4,7)(2,5,3,8)(9,13,12,15)(10,14,11,16), (1,12,4,10)(2,11,3,9)(5,14,8,15)(6,13,7,16), (1,12,3,9)(2,11,4,10)(5,16,8,13)(6,15,7,14),"t16n566"], [(1,11,3,9,2,12,4,10)(5,14,7,15,6,13,8,16),(1,16,4,13)(2,15,3,14)(5,11,6,12) (7,9)(8,10),(1,7,3,6,2,8,4,5)(9,15,10,16)(11,13,12,14),"t16n567"], [(9,10)(11,12)(13,14)(15,16),(5,11,8,9,6,12,7,10), (1,9)(2,10)(3,12)(4,11)(5,15)(6,16)(7,14)(8,13),"t16n568"], [(1,10,7,13)(2,9,8,14)(3,11,5,16)(4,12,6,15), (1,16,8,12,2,15,7,11)(3,13,6,9,4,14,5,10),(1,4,2,3)(5,8,6,7)(11,12) (13,14),"t16n569"], [(9,10)(11,12)(13,14)(15,16),(5,8,6,7)(9,10)(11,12)(13,16,14,15), (1,2)(7,8)(9,12)(10,11)(13,15)(14,16), (1,5,4,8,2,6,3,7)(9,14,12,16,10,13,11,15), (1,12,4,10,2,11,3,9)(5,16,7,14,6,15,8,13),"t16n570"], [(9,10)(11,12)(13,14)(15,16),(9,11,10,12)(13,16,14,15), (1,2)(3,4)(5,8,6,7)(9,10)(11,12)(13,16,14,15), (1,10,4,11,2,9,3,12)(5,13,7,16,6,14,8,15), (1,13,4,16,2,14,3,15)(5,10,7,11,6,9,8,12),"t16n571"], [(3,4)(5,7,6,8)(9,12,10,11)(13,14),(1,5,9,14,4,8,12,16)(2,6,10,13,3,7,11,15 ),"t16n572"],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,8)(4,7)(5,6)(9,13)(10,14), (1,8)(2,7)(3,5)(4,6),(1,12,2,11)(3,14,4,13)(5,15,6,16)(7,10,8,9),"t16n573"], [(1,14)(2,13)(3,16,4,15)(5,10,6,9)(7,11)(8,12), (1,11,2,12)(3,9)(4,10)(5,15,6,16)(7,14)(8,13), (1,15,4,14)(2,16,3,13)(5,11,7,10)(6,12,8,9),"t16n574"], [(1,14,4,15,2,13,3,16)(5,10,6,9)(7,11)(8,12), (1,6,2,5)(3,7)(4,8)(9,13,12,15,10,14,11,16),"t16n575"], [(1,11)(2,12)(3,9)(4,10)(5,13,6,14)(7,15,8,16), (1,11,15,6,2,12,16,5)(3,9,14,8,4,10,13,7),"t16n576"], [(9,10)(11,12)(13,14)(15,16),(1,4)(2,3)(5,7)(6,8)(9,10)(13,14), (1,14,10,8,4,16,11,5,2,13,9,7,3,15,12,6),"t16n577"], [(1,12)(2,11)(3,9)(4,10)(5,13)(6,14)(7,15)(8,16), (1,16,9,6,4,14,12,7,2,15,10,5,3,13,11,8),"t16n578"], [(9,10)(11,12)(13,14)(15,16),(3,4)(7,8)(11,12)(15,16), (1,3,2,4)(5,8,6,7)(13,14)(15,16),(1,5,2,6)(3,8,4,7)(9,13)(10,14)(11,15) (12,16),(1,9)(2,10)(3,12)(4,11)(5,14)(6,13)(7,16)(8,15),"t16n579"], [(1,12,15,7,4,9,14,6,2,11,16,8,3,10,13,5),(1,4,2,3)(5,10,7,12,6,9,8,11) (13,15,14,16),"t16n580"], [(9,10)(11,12)(13,14)(15,16),(1,9,3,12)(2,10,4,11)(5,16,8,13)(6,15,7,14), (1,15,12,8)(2,16,11,7)(3,14,9,5)(4,13,10,6),"t16n581"], [(1,6,4,8)(2,5,3,7)(9,13,12,16)(10,14,11,15), (1,16,4,13)(2,15,3,14)(5,8,6,7)(9,10),"t16n582"], [(1,4,2,3)(5,10,7,11)(6,9,8,12)(15,16),(1,5,4,7)(2,6,3,8)(9,13,11,15) (10,14,12,16),(1,16)(2,15)(3,13)(4,14)(5,10)(6,9)(7,12)(8,11),"t16n583"], [(1,6)(2,5)(3,7)(4,8)(11,12)(13,14), (1,15,8,9,2,16,7,10)(3,11,5,14,4,12,6,13), (1,2)(3,4)(9,11,10,12)(13,16,14,15),"t16n584"], [(1,7)(2,8)(3,5,4,6)(9,15,10,16)(11,14)(12,13), (1,10,2,9)(3,11)(4,12)(5,16,6,15)(7,13)(8,14),"t16n585"], [(1,7,2,8)(3,5)(4,6)(9,15,10,16)(11,13)(12,14), (1,16,4,13,2,15,3,14)(5,10,8,12,6,9,7,11), (1,10,2,9)(3,12,4,11)(5,16,6,15)(7,14,8,13),"t16n586"], [(1,7,4,6,2,8,3,5)(9,13,10,14)(11,15)(12,16), (1,10,3,12)(2,9,4,11)(5,14,8,15)(6,13,7,16),"t16n587"], [(1,15,3,13)(2,16,4,14)(5,11,7,10)(6,12,8,9), (1,15,3,13)(2,16,4,14)(5,11,8,9)(6,12,7,10), (1,7,4,5,2,8,3,6)(9,13,11,15,10,14,12,16),"t16n588"], [(1,16,4,13)(2,15,3,14)(5,11,7,10)(6,12,8,9), (1,8,4,6)(2,7,3,5)(9,14,11,15)(10,13,12,16),"t16n589"], [(1,9,2,10)(3,16,8,11)(4,15,7,12)(5,14,6,13), (1,5)(2,6)(9,16,13,11)(10,15,14,12),"t16n590"], [(1,8,12,16,4,6,10,13,2,7,11,15,3,5,9,14), (1,11,4,10,2,12,3,9)(5,13,7,15,6,14,8,16),"t16n591"], [(9,10)(11,12)(13,14)(15,16),(3,4)(7,8)(11,12)(15,16), (1,4,2,3)(5,7,6,8)(11,12)(13,14),(1,5)(2,6)(3,8)(4,7)(9,14)(10,13) (11,16)(12,15),(1,9)(2,10)(3,12)(4,11)(5,15,6,16)(7,13,8,14),"t16n592"], [(1,5,12,15,2,6,11,16)(3,7,9,13,4,8,10,14),(1,9,3,11)(2,10,4,12)(5,15,7,14) (6,16,8,13),"t16n593"], [(9,10)(11,12)(13,14)(15,16),(1,3,2,4)(7,8)(9,11,10,12)(13,14), (1,4)(2,3)(5,7)(6,8)(9,12)(10,11)(13,15)(14,16), (1,5)(2,6)(3,7)(4,8)(9,16)(10,15)(11,13)(12,14), (1,11)(2,12)(3,10)(4,9)(5,15)(6,16)(7,13)(8,14),"t16n594"], [(9,10)(11,12)(13,14)(15,16),(1,2)(3,4),(1,5)(2,6)(3,7)(4,8)(9,16)(10,15)(11,14) (12,13),(1,10)(2,9)(3,12)(4,11)(5,15)(6,16)(7,13)(8,14), (1,12,2,11)(3,9,4,10),"t16n595"], [(9,10)(11,12)(13,14)(15,16),(1,2)(3,4),(1,5)(2,6)(3,7)(4,8)(9,16)(10,15)(11,14) (12,13),(1,10)(2,9)(3,11)(4,12)(5,15)(6,16)(7,14)(8,13), (1,11)(2,12)(3,10)(4,9)(7,8)(13,14),"t16n596"], [(9,10)(11,12)(13,14)(15,16),(1,2)(3,4),(1,3,2,4)(9,12,10,11), (1,5)(2,6)(3,7)(4,8)(9,16)(10,15)(11,14)(12,13), (1,11)(2,12)(3,10)(4,9)(5,15)(6,16)(7,13)(8,14),"t16n597"], [(1,15,3,14)(2,16,4,13)(5,11,7,9)(6,12,8,10), (1,8,4,5,2,7,3,6)(9,13,12,16,10,14,11,15),"t16n598"], [(1,10,8,14)(2,9,7,13)(3,12,5,16)(4,11,6,15), (1,14,7,9,2,13,8,10)(3,15,6,12,4,16,5,11), (1,6)(2,5)(3,7)(4,8)(9,13,10,14)(11,15,12,16),"t16n599"], [(9,10)(11,12)(13,14)(15,16),(1,7,3,6)(2,8,4,5)(9,15,12,13)(10,16,11,14), (1,15)(2,16)(3,14)(4,13)(5,6)(11,12),(1,15)(2,16)(3,14)(4,13)(5,11,6,12) (7,10,8,9),"t16n600"]]; TRANSPROPERTIES[16]{[301..600]}:= [ [128,0,1,1, "11s050802" ,[8,6016],[16,6032],[6016,6064],[4,[1064,5016,5128,6004,24032]],[6,[[1008,6001,6004,22064,23128,32032,48016]]]], [128,0,1,1, "15s058802s0F80" ,[-1008,8,64,1016],[1032,1064,2016],[128,2016,3032,3064],[4,[-2004,-1008,4128,5016,6032,12064]],[208,[10,26,26]]], [128,0,1,1, "11s05A802s0F80" ,[8,1032,2016],[1032,1064,2016],[1064,1128,2016,3032],[4,[-1004,4,1008,3016,5128,9032,9064]]], [128,0,1,1, "11s052802" ,[8,1032,2016],[16,1064,2032],[1032,1128,2016,2064],[4,[-1004,4,1008,4032,5016,5128,11064]],[2169,[[16,1064,2032],[16,1064,2032],[16,6032]]]], [128,0,1,1, "11s050802s0F80" ,[8,32,4016],[16,6032],[6016,6064],[4,[-3004,4,8,3016,3064,5128,21032]],[6,[[-3004,-3002,8,2001,19064,27128,31016,31032]]]], [128,0,1,-1, "55s0602s0F80s0404" ,[-16,-8,2032],[-2016,5032],[-6016,3064,5032],[4,[-5016,-2008,-4,1128,11064,20032]]], [128,0,1,1, "15s050802s0F80" ,[8,1032,2016],[16,1064,2032],[64,1128,2016,5032],[4,[-1004,4,1008,4032,4128,5016,13064]],[6,[[-1004,-1002,4,1008,2001,13016,22032,26064,28128]]],[2169,[[16,128,2032],[16,128,2032],[16,1064,2032]]]], [128,0,1,1, "15s052002s0F80" ,[8,16,2032],[16,32,2064],[16,1064,1128,4032]], [128,0,1,1, "15s052802" ,[8,1032,2016],[16,1064,2032],[128,1032,2016,4064],[4,[-1004,4,1008,6064,6128,7016,9032]]], [128,0,1,1, "11s050802" ,[8,32,4016],[16,6032],[6016,6064],[4,[-3004,4,8,2064,3016,5128,23032]]], [128,0,1,1, "11s05A802s0F80" ,[8,1032,2016],[1032,1064,2016],[1064,1128,2016,3032],[4,[-1004,4,1008,3016,5032,5128,11064]],[2169,[[128,1032,2016],[128,1032,2016],[1032,1064,2016]]]], [128,0,1,1, "15s0602s0F80" ,[8,16,2032],[16,1064,2032],[64,1128,2016,5032],[4,[4,2008,3016,3128,5032,15064]]], [128,0,1,1, "11s050802" ,[8,6016],[16,6032],[6016,6064],[4,[1064,5016,5128,6004,24032]],[6,[[6001,6004,21064,23128,34032,49016]]]], [128,0,1,1, "11s05A802s0F80" ,[8,64,2016],[1032,1064,2016],[1064,1128,2016,3032],[4,[-2004,4016,5032,6128,9064]]], [128,0,1,1, "11s050802s0F80" ,[8,1032,2016],[16,6032],[6016,6064],[4,[-1004,4,1008,1016,2064,5128,24032]],[6,[[-1004,-1002,4,1008,2001,18064,19016,27128,39032]]]], [128,0,1,1, "11s052802" ,[8,1032,2016],[16,1064,2032],[1032,1128,2016,2064],[4,[-1004,4,1008,4032,5016,6128,9064]],[6,[[-1004,-1002,4,1008,2001,16032,22064,25016,30128]]],[2169,[[16,1064,2032],[16,1064,2032],[16,6032]]]], [128,0,1,1, "11s050802s0F80" ,[8,1032,2016],[16,6032],[6016,6064],[4,[-1004,4,1008,1016,2064,5128,24032]],[6,[[-1004,-1002,4,2001,3008,18016,19064,27128,37032]]]], [128,0,1,1, "11s052002" ,[8,16,2032],[16,1064,2032],[1032,1128,2016,2064],[4,[4,2008,4032,5016,5128,11064]]], [128,0,1,1, "15s0612s0F80" ,[8,16,32,64],[16,32,64,128],[16,32,1128,3064],[4,[-8,-4,3064,4016,5032,9128]]], [128,0,1,1, "11s052002" ,[8,1032,2016],[16,1064,2032],[1032,1128,2016,2064],[4,[-1004,4,1008,5016,5128,8032,9064]]], [128,0,1,1, "11s05A802s0F80" ,[8,16,2032],[1032,1064,2016],[1064,1128,2016,3032],[4,[4,1016,2008,6032,6128,9064]], [6322,[[16,128,2032,3064],[16,128,2032,3064],[16,128,2032,3\ 064],[16,128,2032,3064],[16,128,2032,3064], [16,128,2032,3064],[16,128,2032,3064], [16,128,2032,3064],[16,128,2032,3064], [16,128,2032,3064],[16,128,2032,3064], [16,128,2032,3064],[16,128,2032,3064], [16,128,2032,3064],[128,1064,2016,5032], [128,1064,2016,5032],[128,1064,2016,5032], [128,1064,2016,5032],[128,1064,2016,5032], [2016,3064,5032],[2016,3064,5032],[2016,3064,5032], [2016,3064,5032],[5064,6016],[5064,6016]]]], [128,0,1,1, "11s05A802" ,[8,64,2016],[1032,1064,2016],[1064,1128,2016,3032],[4,[-2004,4016,5128,7032,10064]]], [128,0,1,1, "15s050802" ,[-2008,2032],[2016,2064],[16,1128,8032]], [128,0,1,1, "11s050802s0F80" ,[8,32,4016],[16,6032],[6016,6064],[4,[-3004,4,8,1016,2064,5128,24032]],[6,[[-3004,-3002,8,2001,17064,27016,27128,37032]]]], [128,0,1,1, "11s0602" ,[64,6008],[128,6016],[6016,6064]], [128,0,1,1, "11s052802" ,[8,1032,2016],[16,1064,2032],[1032,1128,2016,2064],[4,[-1004,4,1008,4032,5016,5128,11064]],[2169,[[16,128,2032],[16,128,2032],[16,6032]]]], [128,0,1,1, "11s05A802s0F80" ,[8,64,2016],[1032,1064,2016],[1064,1128,2016,3032],[4,[-2004,3032,4016,5128,12064]]], [128,0,1,1, "15s058802s0F80" ,[8,16,2032],[16,1064,2032],[1064,1128,2016,3032]], [128,0,1,1, "11s050802" ,[8,32,4016],[16,6032],[6016,6064],[4,[-3004,4,8,1064,5016,5128,24032]]], [128,0,1,1, "15s052802s0F80" ,[-2008,32,64],[2016,2064],[16,128,3064,4032],[4,[-2008,-4,4032,5016,5128,11064]]], [128,0,1,1, "15s050802s0F80" ,[8,1032,2016],[16,1064,2032],[64,1128,2016,5032],[4,[-1004,4,1008,3128,4032,5016,15064]],[6,[[-1004,-1002,4,1008,2001,13016,23128,24032,35064]]]], [128,0,1,1, "11s052802" ,[8,64,2016],[16,128,2032],[1064,2016,2128],[4,[-2004,2016,2064,8032,9128]]], [128,0,1,1, "55s0602" ,[-1008,8,2032],[2016,5032],[3064,5032,6016],[4,[4,1128,8008,8016,11064,17032]]], [128,0,1,1, "11s05A802s0F80" ,[8,16,2032],[1032,1064,2016],[1064,1128,2016,3032],[4,[4,1016,2008,6032,7064,7128]],[6,[[1004,1016,2001,2008,11064,22032,37128]]]], [128,0,1,-1, "15s05880As0E4080" ,[-16,-8,2032],[-16,1064,2032],[-2016,1064,1128,3032],[4,[-1016,4,2008,6032,6128,9064]]], [128,0,1,1, "15s052802s0F80" ,[8,1032,2016],[16,1064,2032],[128,1032,2016,4064],[4,[-1004,4,1008,1016,4128,10032,11064]],[6,[[-1004,-1002,4,2001,3008,12016,24128,28032,31064]]]], [128,0,1,1, "15s05A802s0F80" ,[8,64,2016],[128,1032,2016],[1032,1128,2016,2064],[4,[-2004,3032,4016,7128,8064]]], [128,0,1,1, "11s05A802s0F80" ,[8,64,2016],[128,1032,2016],[64,1032,2016,2128],[4,[-2004,3032,4016,4064,9128]]], [128,0,1,1, "15s052802s0F80" ,[-2008,2032],[2016,2064],[16,128,3064,4032],[208,[6,28,30]]], [128,0,1,1, "15s052802s0F80" ,[8,1032,2016],[16,1064,2032],[128,1032,2016,4064],[4,[-1004,4,1008,3016,5128,9032,9064]],[6,[[-1004,-1002,4,1008,2001,19016,24064,27032,27128]]]], [128,0,1,1, "05s0612s0F80" ,[8,16,32,64],[16,32,64,128],[16,32,128,5064],[4,[-8,-4,4016,5032,5064,8128]]], [128,0,1,1, "15s052802s0F80" ,[8,1032,2016],[16,1064,2032],[128,1032,2016,4064],[4,[-1004,4,1008,5016,6128,7064,8032]]], [128,0,1,-1, "15s05880As0C01s0280" ,[-16,-8,1016,1032],[-16,1064,2032],[-2016,1064,1128,3032],[4,[-1016,4,1016,2008,5032,6128,9064]],[21,[-1008]]], [128,0,1,1, "15s058802s0F80" ,[8,1032,2016],[1032,1064,2016],[128,2016,3032,3064],[4,[-1004,4,1008,3016,5128,9032,9064]],[6,[[-1004,-1002,4,1008,2001,11016,21064,29032,29128]]]], [128,0,1,1, "11s052802s0F80" ,[8,1032,2016],[1032,1064,2016],[128,2016,3032,3064],[4,[-1004,4,1008,4128,5016,8032,11064]]], [128,0,1,-1, "15s058802s0F80s0404" ,[-16,-8,32,64],[-16,1064,2032],[-2016,1064,1128,3032],[4,[-1016,-8,-4,16,4032,7128,8064]]], [128,0,1,1, "15s050802" ,[-1008,8,2032],[1032,1064,2016],[1128,2016,7032],[4,[4,1032,5128,8008,8016,11064]],[6,[[1004,2001,10008,17064,21032,23016,31128]]],[208,[11,31,31]]], [128,0,1,-1, "13s051002s0F80s0404" 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