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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 trans24ad.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 24 ## TRANSGRP[24]{[8701..9000]}:= [[(1,2)(3,4)(9,20,12,18,10,19,11,17)(13,22,16,23,14,21,15,24), (1,15,2,16)(3,14,4,13)(5,10,6,9)(7,12,8,11)(17,22,18,21)(19,24,20,23), (1,20,13,8,22,10,2,19,14,7,21,9)(3,18,16,5,23,11,4,17,15,6,24,12),"t24n8701"], [(1,5)(2,6)(3,7)(4,8)(9,21,10,22)(11,23,12,24)(13,20)(14,19)(15,17)(16,18), (1,12,18,7,16,24,2,11,17,8,15,23)(3,9,20,5,14,22,4,10,19,6,13,21), (1,15,2,16)(3,14,4,13)(5,9,6,10)(7,11,8,12)(17,20)(18,19)(21,24)(22,23), "t24n8702"],[(1,3,2,4)(5,8,6,7)(13,14)(15,16)(17,22)(18,21)(19,24)(20,23), (1,11,24)(2,12,23)(3,10,21)(4,9,22)(5,13,20)(6,14,19)(7,15,17)(8,16,18), (1,16,3,14,2,15,4,13)(5,10,8,12,6,9,7,11)(17,24,18,23)(19,22,20,21),"t24n8703" ],[(1,6,2,5)(3,8,4,7)(9,23,14,17,10,24,13,18)(11,22,16,19,12,21,15,20), (1,21,16,8,19,12,2,22,15,7,20,11)(3,24,13,6,18,10,4,23,14,5,17,9), (1,22,4,24,2,21,3,23)(5,18,7,19,6,17,8,20)(9,13,10,14)(11,16,12,15),"t24n8704" ], [(5,6)(7,8)(9,14,10,13)(11,16,12,15)(21,22)(23,24),(1,11,7,15,2,12,8,16)(3,10,6, 14,4,9,5,13)(17,22,18,21)(19,24,20,23),(1,22,11,7,20,15,2,21,12,8,19,16) (3,24,10,6,17,14,4,23,9,5,18,13),"t24n8705"], [(3,4)(7,8)(9,24,12,21,10,23,11,22)(13,18,16,20,14,17,15,19), (1,4,2,3)(5,8,6,7)(9,19,13,21)(10,20,14,22)(11,18,15,23)(12,17,16,24), (1,13,20)(2,14,19)(3,15,17)(4,16,18)(5,12,24)(6,11,23)(7,9,21)(8,10,22), "t24n8706"], [(1,8)(2,7)(3,5)(4,6)(9,23,12,21)(10,24,11,22)(13,17,16,20)(14,18,15,19), (1,9,4,12)(2,10,3,11)(5,16,8,14)(6,15,7,13), (1,15,19,2,16,20)(3,14,17,4,13,18)(5,9,24,6,10,23)(7,11,22,8,12,21),"t24n8707" ],[(1,8,2,7)(3,6,4,5)(9,11)(10,12)(13,16)(14,15)(17,22,18,21)(19,24,20,23), (1,9,22,8,14,19,2,10,21,7,13,20)(3,11,24,6,15,17,4,12,23,5,16,18), (1,24,2,23)(3,21,4,22)(5,20)(6,19)(7,17)(8,18)(9,11,10,12)(13,15,14,16), "t24n8708"], [(1,9,20,8,13,21,2,10,19,7,14,22)(3,12,18,5,16,24,4,11,17,6,15,23), (1,13,5,12,2,14,6,11)(3,16,7,10,4,15,8,9)(17,18)(19,20)(21,22)(23,24), (1,15,3,14)(2,16,4,13)(5,10,7,12)(6,9,8,11)(17,23,18,24)(19,21,20,22), "t24n8709"],[(1,2)(3,4)(5,6)(7,8)(9,12,10,11)(13,15,14,16)(17,18)(19,20), (1,15,3,13,2,16,4,14)(5,10,7,11,6,9,8,12)(17,22)(18,21)(19,23)(20,24), (1,19,6,23,2,20,5,24)(3,18,7,21,4,17,8,22)(9,10)(11,12),"t24n8710"], [(1,8,2,7)(3,5,4,6)(9,17,12,19,10,18,11,20)(13,24,15,22,14,23,16,21), (1,14)(2,13)(3,15)(4,16)(5,11,6,12)(7,9,8,10)(17,23,18,24)(19,21,20,22), (1,24)(2,23)(3,21)(4,22)(5,19)(6,20)(7,18)(8,17)(9,15,10,16)(11,14,12,13), "t24n8711"], [(1,14,5,12)(2,13,6,11)(3,16,8,10)(4,15,7,9)(17,19)(18,20)(21,24)(22,23), (1,19,11,3,18,10,2,20,12,4,17,9)(5,23,14,7,22,16,6,24,13,8,21,15), (1,20,16,3,17,14,2,19,15,4,18,13)(5,23,10,7,22,11,6,24,9,8,21,12),"t24n8712"], [(1,4,2,3)(5,8,6,7)(9,16,10,15)(11,14,12,13)(17,24,18,23)(19,22,20,21), (1,18)(2,17)(3,20)(4,19)(5,21)(6,22)(7,23)(8,24)(9,15)(10,16)(11,13)(12,14), (1,20,15,4,17,14)(2,19,16,3,18,13)(5,24,10,7,22,11)(6,23,9,8,21,12),"t24n8713" ],[(1,10,18)(2,9,17)(3,12,20)(4,11,19)(5,16,21)(6,15,22)(7,13,23)(8,14,24), (1,16)(2,15)(3,14)(4,13)(5,9,6,10)(7,12,8,11)(17,21)(18,22)(19,24)(20,23), (1,19,8,22,2,20,7,21)(3,18,6,23,4,17,5,24)(13,14)(15,16),"t24n8714"], [(1,5)(2,6)(3,7)(4,8)(9,23,12,21,10,24,11,22)(13,17,15,19,14,18,16,20), (1,6,2,5)(3,8,4,7)(9,18,11,19,10,17,12,20)(13,23,15,21,14,24,16,22), (1,24,4,21,2,23,3,22)(5,19,8,18,6,20,7,17)(9,13,10,14)(11,16,12,15),"t24n8715" ],[(3,4)(7,8)(9,18,16,21)(10,17,15,22)(11,19,14,23)(12,20,13,24), (1,7,2,8)(3,6,4,5)(9,24,11,21,10,23,12,22)(13,17,15,19,14,18,16,20), (1,15,3,14,2,16,4,13)(5,10,8,11,6,9,7,12)(17,22)(18,21)(19,24)(20,23), "t24n8716"],[(3,4)(7,8)(9,15)(10,16)(11,14)(12,13)(17,24)(18,23)(19,21)(20,22), (1,13,21,3,15,24)(2,14,22,4,16,23)(5,11,18,8,9,20)(6,12,17,7,10,19), (1,15,6,9,2,16,5,10)(3,13,7,11,4,14,8,12),"t24n8717"], [(1,9,8,13)(2,10,7,14)(3,11,6,16)(4,12,5,15)(17,19,18,20)(21,24,22,23), (1,12,24)(2,11,23)(3,9,22)(4,10,21)(5,14,20)(6,13,19)(7,16,18)(8,15,17), (1,18,6,21,2,17,5,22)(3,20,7,24,4,19,8,23)(9,12,10,11)(13,16,14,15),"t24n8718" ], [(9,15)(10,16)(11,13)(12,14)(17,23,18,24)(19,21,20,22),(1,13,3,15,2,14,4,16)(5,11,8, 9,6,12,7,10)(17,24,18,23)(19,21,20,22),(1,15,21)(2,16,22)(3,13,24)(4,14,23) (5,9,17)(6,10,18)(7,12,20)(8,11,19),"t24n8719"], [(9,22,14,20)(10,21,13,19)(11,24,15,18)(12,23,16,17), (1,16,6,9)(2,15,5,10)(3,14,8,12)(4,13,7,11)(17,20)(18,19)(21,24)(22,23), (1,24,16,3,22,14,2,23,15,4,21,13)(5,19,9,7,17,12,6,20,10,8,18,11),"t24n8720"], [(1,10,22,3,11,23)(2,9,21,4,12,24)(5,15,18,8,14,20)(6,16,17,7,13,19), (1,13,19)(2,14,20)(3,15,18)(4,16,17)(5,12,24)(6,11,23)(7,9,21)(8,10,22), (1,18,5,22,2,17,6,21)(3,20,7,24,4,19,8,23)(9,10)(13,14),"t24n8721"], [(1,2)(5,6)(9,16)(10,15)(11,14)(12,13)(17,24,18,23)(19,21,20,22), (1,8,2,7)(3,6,4,5)(9,23,11,21)(10,24,12,22)(13,18,16,20)(14,17,15,19), (1,14,4,16)(2,13,3,15)(5,12,7,10)(6,11,8,9)(17,22)(18,21)(19,23)(20,24), "t24n8722"], [(1,8)(2,7)(3,5)(4,6)(9,19,12,17)(10,20,11,18)(13,21,15,23)(14,22,16,24), (1,16,3,14)(2,15,4,13)(5,9,8,11)(6,10,7,12)(17,22,18,21)(19,24,20,23), (1,24,6,19,2,23,5,20)(3,22,8,17,4,21,7,18)(11,12)(13,14),"t24n8723"], [(1,2)(5,6)(9,22,15,17,10,21,16,18)(11,23,14,20,12,24,13,19), (1,11,20,3,10,17)(2,12,19,4,9,18)(5,14,23,7,16,22)(6,13,24,8,15,21), (1,20,12)(2,19,11)(3,17,9)(4,18,10)(5,24,13)(6,23,14)(7,21,15)(8,22,16), "t24n8724"],[(5,6)(7,8)(9,15,10,16)(11,14,12,13)(17,24,18,23)(19,22,20,21), (1,3,2,4)(5,8,6,7)(9,18,13,23)(10,17,14,24)(11,19,16,22)(12,20,15,21), (1,21,14)(2,22,13)(3,24,16)(4,23,15)(5,18,11)(6,17,12)(7,19,10)(8,20,9), "t24n8725"], [(1,7)(2,8)(3,6)(4,5)(9,17,11,20)(10,18,12,19)(13,24,16,21)(14,23,15,22), (1,14,19,3,15,18,2,13,20,4,16,17)(5,11,24,7,9,21,6,12,23,8,10,22), (1,18,5,22)(2,17,6,21)(3,20,7,24)(4,19,8,23)(11,12)(15,16),"t24n8726"], [(1,11,21,6,15,18,3,9,24,8,13,19,2,12,22,5,16,17,4,10,23,7,14,20), (1,15,17,5,11,23,4,13,20,8,9,21,2,16,18,6,12,24,3,14,19,7,10,22), (1,18,16,6,24,9,3,19,14,8,22,12,2,17,15,5,23,10,4,20,13,7,21,11),"t24n8727"], [(9,10)(11,12)(17,20,18,19)(21,24,22,23),(1,13,24,4,16,21,2,14,23,3,15,22) (5,11,20,7,10,18,6,12,19,8,9,17), (1,23,13,7,20,12,4,21,15,6,17,10,2,24,14,8,19,11,3,22,16,5,18,9),"t24n8728"], [(1,14,17,5,9,24,3,16,20,8,12,21,2,13,18,6,10,23,4,15,19,7,11,22), (1,23,14,6,18,10,3,22,15,8,20,12,2,24,13,5,17,9,4,21,16,7,19,11),"t24n8729"], [(1,4,2,3)(5,6)(9,13,12,16)(10,14,11,15)(17,23)(18,24)(19,22)(20,21), (1,10,22,8,16,19,3,11,23,6,14,17)(2,9,21,7,15,20,4,12,24,5,13,18), (1,19,13,4,18,15)(2,20,14,3,17,16)(5,24,9,8,22,12)(6,23,10,7,21,11),"t24n8730" ],[(1,9,23,6,13,20,3,11,21,8,15,18)(2,10,24,5,14,19,4,12,22,7,16,17), (1,19,10,4,18,12)(2,20,9,3,17,11)(5,22,15,8,24,14)(6,21,16,7,23,13),"t24n8731" ],[(1,5,10,3,8,12,2,6,9,4,7,11)(13,18,23,15,19,22,14,17,24,16,20,21), (1,13,8,17,10,24,3,15,6,20,12,21,2,14,7,18,9,23,4,16,5,19,11,22),"t24n8732"], [(1,12,7,2,11,8)(3,9,5,4,10,6)(13,21,17,14,22,18)(15,23,20,16,24,19), (1,18,2,17)(3,20)(4,19)(5,21,7,23)(6,22,8,24)(9,14)(10,13)(11,15,12,16), "t24n8733"], [(1,8,9)(2,7,10)(3,5,12)(4,6,11)(13,17,22)(14,18,21)(15,19,24)(16,20,23), (1,12,7,3,9,5,2,11,8,4,10,6)(13,23,20,15,22,18,14,24,19,16,21,17), (1,20,4,17,2,19,3,18)(5,21,6,22)(7,23,8,24)(9,13,10,14)(11,16,12,15), "t24n8734"], [(1,6,12,2,5,11)(3,8,10,4,7,9)(13,20,22,14,19,21)(15,17,24,16,18,23), (1,18,3,19)(2,17,4,20)(5,22)(6,21)(7,24,8,23)(9,16,10,15)(11,14)(12,13), "t24n8735"], [(1,13,5,17,9,24,3,16,7,19,11,22,2,14,6,18,10,23,4,15,8,20,12,21), (1,23,10,20,7,13,3,22,11,18,5,16,2,24,9,19,8,14,4,21,12,17,6,15),"t24n8736"], [(1,12,5,4,9,7)(2,11,6,3,10,8)(13,24,20,15,21,18)(14,23,19,16,22,17), (1,23,12,17,6,14,3,22,10,20,8,15)(2,24,11,18,5,13,4,21,9,19,7,16),"t24n8737"], [(1,3,2,4)(5,8,6,7)(9,12,10,11)(13,14)(17,19,18,20)(21,22), (1,22,10,18,5,13,3,24,11,19,7,15,2,21,9,17,6,14,4,23,12,20,8,16),"t24n8738"], [(1,12,5,4,10,7,2,11,6,3,9,8)(13,18,22,16,20,23,14,17,21,15,19,24), (1,24)(2,23)(3,22)(4,21)(5,13,7,15,6,14,8,16)(9,19,11,18,10,20,12,17), "t24n8739"], [(3,4)(5,7)(6,8)(11,12)(13,14)(19,20)(21,23)(22,24),(1,13,4,16,2,14,3,15) (5,20,8,18,6,19,7,17)(9,24)(10,23)(11,21)(12,22), (1,20,2,19)(3,18,4,17)(5,22,6,21)(7,23,8,24)(9,16)(10,15)(11,13)(12,14), "t24n8740"], [(1,6,11,3,7,10,2,5,12,4,8,9)(13,22,18,15,24,19,14,21,17,16,23,20), (1,19,3,17,2,20,4,18)(5,24)(6,23)(7,22)(8,21)(9,14,12,15,10,13,11,16), "t24n8741"], [(1,11,8,3,9,6)(2,12,7,4,10,5)(13,20,22,16,18,23)(14,19,21,15,17,24), (1,13,3,15,2,14,4,16)(5,19,6,20)(7,18,8,17)(9,22,12,23,10,21,11,24), (1,18,4,19,2,17,3,20)(5,21,7,23,6,22,8,24)(9,14,10,13)(11,15,12,16),"t24n8742" ],[(1,10,5,3,12,8,2,9,6,4,11,7)(13,17,23,16,19,21,14,18,24,15,20,22), (1,15,2,16)(3,14,4,13)(5,19,7,18,6,20,8,17)(9,21,11,23,10,22,12,24),"t24n8743" ],[(1,6,11,4,7,9)(2,5,12,3,8,10)(13,24,20,16,21,17)(14,23,19,15,22,18), (1,16,3,13,2,15,4,14)(5,18)(6,17)(7,20)(8,19)(9,22,11,24,10,21,12,23), "t24n8744"],[(1,2)(5,8,6,7)(9,10)(13,16,14,15)(17,20)(18,19)(21,24)(22,23), (1,16,3,13)(2,15,4,14)(5,20)(6,19)(7,18,8,17)(9,23,12,21,10,24,11,22), (1,20,4,17,2,19,3,18)(5,22,7,24)(6,21,8,23)(9,13)(10,14)(11,15,12,16), "t24n8745"], [(1,10,5,4,11,7)(2,9,6,3,12,8)(13,18,21,15,20,24)(14,17,22,16,19,23), (1,20,2,19)(3,18,4,17)(5,24,8,21,6,23,7,22)(9,14,12,15,10,13,11,16),"t24n8746" ],[(1,18)(2,17)(3,19)(4,20)(5,21)(6,22)(7,23)(8,24)(9,15,10,16)(11,13,12,14), (1,18,3,20,2,17,4,19)(5,24,7,22)(6,23,8,21)(9,16)(10,15)(11,14,12,13), (1,23,3,22)(2,24,4,21)(5,14,7,16,6,13,8,15)(9,17,10,18)(11,19)(12,20), "t24n8747"], [(1,11,6,3,10,8)(2,12,5,4,9,7)(13,20,22,15,18,24)(14,19,21,16,17,23), (1,17,3,20,2,18,4,19)(5,21,8,24)(6,22,7,23)(9,14)(10,13)(11,16,12,15), "t24n8748"],[(5,7,6,8)(9,11,10,12)(13,16,14,15)(17,18)(19,20)(21,24,22,23), (1,9,5,4,11,7,2,10,6,3,12,8)(13,18,22,16,20,24,14,17,21,15,19,23), (1,24,3,22,2,23,4,21)(5,15,6,16)(7,14,8,13)(9,19,11,18,10,20,12,17),"t24n8749" ],[(1,5,11,4,7,9)(2,6,12,3,8,10)(13,21,20,15,23,17)(14,22,19,16,24,18), (1,13,3,16,2,14,4,15)(5,17,7,20,6,18,8,19)(9,23)(10,24)(11,21)(12,22), "t24n8750"], [(1,5,12,3,7,9,2,6,11,4,8,10)(13,21,18,15,23,19,14,22,17,16,24,20), (1,21)(2,22)(3,23,4,24)(5,16,7,13,6,15,8,14)(9,19,11,17)(10,20,12,18), "t24n8751"], [(1,18)(2,17)(3,19,4,20)(5,24,7,21)(6,23,8,22)(9,13,12,16,10,14,11,15), (1,24)(2,23)(3,22,4,21)(5,16,7,13,6,15,8,14)(9,17,11,20)(10,18,12,19), "t24n8752"], [(1,4,2,3)(5,8,6,7)(9,12,10,11)(13,16,14,15)(17,20,18,19)(21,23,22,24), (1,8,10,3,6,12,2,7,9,4,5,11)(13,24,17,16,21,20,14,23,18,15,22,19), (1,15,4,14)(2,16,3,13)(5,19,7,17,6,20,8,18)(9,24)(10,23)(11,21,12,22), "t24n8753"], [(1,14,2,13)(3,15,4,16)(5,17,7,20)(6,18,8,19)(9,22,11,23)(10,21,12,24), (1,21,4,24,2,22,3,23)(5,13,6,14)(7,16)(8,15)(9,19,12,18)(10,20,11,17), "t24n8754"],[(1,2)(3,4)(9,11,10,12)(13,16)(14,15)(17,20,18,19)(21,24)(22,23), (1,8,9,4,5,11,2,7,10,3,6,12)(13,24,20,15,22,17,14,23,19,16,21,18), (1,18,2,17)(3,20,4,19)(5,23,6,24)(7,22,8,21)(9,15)(10,16)(11,13)(12,14), "t24n8755"], [(1,9,6,4,12,7)(2,10,5,3,11,8)(13,17,23,16,20,22)(14,18,24,15,19,21), (1,24,4,21,2,23,3,22)(5,14,6,13)(7,15)(8,16)(9,17,12,19)(10,18,11,20), "t24n8756"], [(5,6)(7,8)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24),(1,12,8,4,10,5) (2,11,7,3,9,6)(13,20,21,16,18,24)(14,19,22,15,17,23), (1,16,3,14)(2,15,4,13)(5,19)(6,20)(7,18)(8,17)(9,23,12,21)(10,24,11,22), "t24n8757"], [(1,11,8,4,10,5,2,12,7,3,9,6)(13,17,22,16,20,23,14,18,21,15,19,24), (1,22,3,24)(2,21,4,23)(5,14)(6,13)(7,16)(8,15)(9,20,12,17)(10,19,11,18), "t24n8758"], [(1,6,12,3,7,9,2,5,11,4,8,10)(13,22,19,15,23,18,14,21,20,16,24,17), 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(1,19,3,17)(2,20,4,18)(5,23,8,21)(6,24,7,22)(9,14)(10,13)(11,16,12,15), "t24n8959"], [(1,10,4,11)(2,9,3,12)(5,7)(6,8)(13,17)(14,18)(15,19)(16,20)(23,24), (1,22,12,15,6,17,2,21,11,16,5,18)(3,23,9,14,7,20)(4,24,10,13,8,19),"t24n8960"] ,[(1,12,2,11)(3,9,4,10)(7,8)(13,19,16,17)(14,20,15,18)(21,23,22,24), (1,19,7,14,10,21)(2,20,8,13,9,22)(3,17,5,16,12,23)(4,18,6,15,11,24), (1,24,10,16,5,18)(2,23,9,15,6,17)(3,21,12,13,7,19)(4,22,11,14,8,20),"t24n8961" ],[(1,18,5,13,10,22)(2,17,6,14,9,21)(3,19,7,16,11,23)(4,20,8,15,12,24), (1,22,4,24,2,21,3,23)(5,14,7,15,6,13,8,16)(9,17,10,18)(11,19)(12,20), "t24n8962"], [(3,4)(5,12)(6,11)(7,10)(8,9)(13,16,14,15)(17,24,19,22,18,23,20,21), (1,24,11,15,5,19)(2,23,12,16,6,20)(3,22,9,13,8,18)(4,21,10,14,7,17),"t24n8963" ],[(1,14,4,15)(2,13,3,16)(5,17,6,18)(7,19)(8,20)(9,21,11,23)(10,22,12,24), (1,23,12,16,6,19,2,24,11,15,5,20)(3,22,9,13,8,17)(4,21,10,14,7,18),"t24n8964"] , [(1,4,2,3)(5,7,6,8)(9,10)(15,16)(19,20)(23,24),(1,16)(2,15)(3,14)(4,13)(5,17) (6,18)(7,19)(8,20)(9,24)(10,23)(11,22)(12,21), (1,18,6,15,9,24)(2,17,5,16,10,23)(3,19,8,14,11,21)(4,20,7,13,12,22),"t24n8965" ],[(1,9,7,2,10,8)(3,12,5)(4,11,6)(13,20,24)(14,19,23)(15,17,21,16,18,22), (1,17,7,15,10,22)(2,18,8,16,9,21)(3,20,5,14,12,24)(4,19,6,13,11,23), (1,17)(2,18)(3,20)(4,19)(5,21)(6,22)(7,24)(8,23)(9,13)(10,14)(11,15)(12,16), "t24n8966"], [(1,13,3,15,2,14,4,16)(5,18,6,17)(7,20)(8,19)(9,22,11,23,10,21,12,24), (1,17,6,14,12,24)(2,18,5,13,11,23)(3,20,8,15,9,21)(4,19,7,16,10,22),"t24n8967" ],[(1,6,3,7,2,5,4,8)(9,11,10,12)(13,22,14,21)(15,23,16,24)(17,18), (1,19,5,16,10,21)(2,20,6,15,9,22)(3,18,8,14,11,24)(4,17,7,13,12,23),"t24n8968" ],[(1,22,10,16,6,20)(2,21,9,15,5,19)(3,23,11,13,7,17,4,24,12,14,8,18), (1,23,3,21)(2,24,4,22)(5,14,8,15)(6,13,7,16)(9,19)(10,20)(11,17)(12,18), "t24n8969"], [(1,14,3,16,2,13,4,15)(5,17,6,18)(7,19,8,20)(9,21,11,24,10,22,12,23), (1,17,8,16,9,22,2,18,7,15,10,21)(3,20,6,13,11,24)(4,19,5,14,12,23),"t24n8970"] ,[(1,2)(3,4)(5,12)(6,11)(7,9)(8,10)(13,21,15,23)(14,22,16,24)(17,19)(18,20), (1,7,12,4,6,10)(2,8,11,3,5,9)(13,24,20,16,21,18)(14,23,19,15,22,17), (1,19)(2,20)(3,18)(4,17)(5,16)(6,15)(7,14)(8,13)(9,23)(10,24)(11,22)(12,21), "t24n8971"], [(1,8,3,5,2,7,4,6)(9,11,10,12)(13,18,15,19,14,17,16,20)(21,24,22,23), (1,16,4,14,2,15,3,13)(5,17)(6,18)(7,20)(8,19)(9,24,11,22,10,23,12,21), (1,21,2,22)(3,23,4,24)(5,14)(6,13)(7,15)(8,16)(9,20,10,19)(11,17,12,18), "t24n8972"],[(1,5)(2,6)(3,7)(4,8)(13,18,16,20)(14,17,15,19)(21,24)(22,23), (1,20,3,17)(2,19,4,18)(5,22,8,23)(6,21,7,24)(9,14,12,16)(10,13,11,15), "t24n8973"], [(1,2)(3,4)(9,10)(11,12),(1,9,7,4,11,6)(2,10,8,3,12,5)(13,22,20,14,21,19) (15,24,17,16,23,18),(1,14,3,16)(2,13,4,15)(5,24,8,21)(6,23,7,22)(9,18,10,17) (11,20,12,19),"t24n8974"], [(1,8,4,5,2,7,3,6)(11,12)(13,19,16,17,14,20,15,18)(21,24,22,23), (1,22,5,17,9,16)(2,21,6,18,10,15)(3,23,7,20,12,14)(4,24,8,19,11,13),"t24n8975" ],[(1,7,12)(2,8,11)(3,5,10)(4,6,9)(13,21,19,15,23,17)(14,22,20,16,24,18), (1,24,11,16,8,20)(2,23,12,15,7,19)(3,21,9,14,6,17)(4,22,10,13,5,18),"t24n8976" ],[(5,10,6,9)(7,11,8,12)(13,23)(14,24)(15,21)(16,22)(17,20)(18,19), (1,16,9,19,6,22)(2,15,10,20,5,21)(3,14,12,17,8,24)(4,13,11,18,7,23),"t24n8977" ], [(5,7)(6,8)(17,18)(19,20),(1,2)(3,4)(5,6)(7,8),(1,18,7,14,12,24)(2,17,8,13,11,23) (3,19,5,16,10,21)(4,20,6,15,9,22),"t24n8978"], [(1,5)(2,6)(3,7)(4,8)(9,10)(11,12)(13,19,16,17)(14,20,15,18)(21,23)(22,24), (1,20,3,17)(2,19,4,18)(5,21,8,24)(6,22,7,23)(9,13,12,15)(10,14,11,16), "t24n8979"], [(3,4)(5,6)(9,11)(10,12)(13,15)(14,16)(17,18)(23,24),(1,7,4,5,2,8,3,6) (9,11,10,12)(13,19)(14,20)(15,17)(16,18),(1,16,10,18,7,24)(2,15,9,17,8,23) (3,14,12,20,6,21)(4,13,11,19,5,22),"t24n8980"], [(1,5,3,7,2,6,4,8)(9,10)(13,17,15,19,14,18,16,20)(21,22), (1,18)(2,17)(3,20,4,19)(5,24,8,21)(6,23,7,22)(9,14)(10,13)(11,16,12,15), "t24n8981"], [(1,15,3,14)(2,16,4,13)(5,18,8,19)(6,17,7,20)(9,24,11,21)(10,23,12,22), (1,22,7,19,10,13,4,24,5,17,12,16)(2,21,8,20,9,14,3,23,6,18,11,15),"t24n8982"], [(1,16,6,18,10,24,4,14,8,19,12,21)(2,15,5,17,9,23,3,13,7,20,11,22), (1,24)(2,23)(3,22)(4,21)(5,17,8,19,6,18,7,20)(9,15,12,14,10,16,11,13), "t24n8983"], [(1,2)(3,4)(9,10)(11,12),(1,10,7,3,11,5)(2,9,8,4,12,6)(13,21,20)(14,22,19) (15,23,17)(16,24,18),(1,13,3,15)(2,14,4,16)(5,23,7,21)(6,24,8,22)(9,18) (10,17)(11,20)(12,19),"t24n8984"], [(5,12)(6,11)(7,9)(8,10)(13,21,15,23)(14,22,16,24)(17,20)(18,19), (1,7,11,4,6,9)(2,8,12,3,5,10)(13,23,20,16,22,18)(14,24,19,15,21,17), (1,19)(2,20)(3,18)(4,17)(5,16)(6,15)(7,14)(8,13)(9,23)(10,24)(11,22)(12,21), "t24n8985"], [(1,17)(2,18)(3,19,4,20)(5,21,7,23)(6,22,8,24)(9,14,10,13)(11,15)(12,16), (1,24,7,19,10,14)(2,23,8,20,9,13)(3,22,6,17,11,15)(4,21,5,18,12,16),"t24n8986" ],[(1,7,2,8)(3,5,4,6)(9,12)(10,11)(13,14)(15,16)(17,21)(18,22)(19,23)(20,24), (1,20,4,18,2,19,3,17)(5,13)(6,14)(7,16)(8,15)(9,21,12,23,10,22,11,24), "t24n8987"], [(1,12,7)(2,11,8)(3,9,6)(4,10,5)(13,24,19,15,21,17)(14,23,20,16,22,18), (1,22,3,23,2,21,4,24)(5,18,8,20,6,17,7,19)(9,14)(10,13)(11,16)(12,15), "t24n8988"], [(1,2)(3,4)(5,12,6,11)(7,9,8,10)(13,22)(14,21)(15,23)(16,24)(17,19)(18,20), (1,24,4,22)(2,23,3,21)(5,18)(6,17)(7,20)(8,19)(9,15,12,14)(10,16,11,13), "t24n8989"], [(1,11,6,4,9,8)(2,12,5,3,10,7)(13,20,22,14,19,21)(15,18,23,16,17,24), (1,16,4,13)(2,15,3,14)(5,21)(6,22)(7,24,8,23)(9,17)(10,18)(11,20,12,19), "t24n8990"], [(1,7,9,3,5,11)(2,8,10,4,6,12)(13,18,21,14,17,22)(15,19,24,16,20,23), (1,21,3,23,2,22,4,24)(5,18,8,19,6,17,7,20)(9,15)(10,16)(11,13)(12,14), "t24n8991"],[(5,8)(6,7),(1,2)(3,4)(5,6)(7,8)(17,18)(19,20)(21,22)(23,24), (1,18,7,14,12,24)(2,17,8,13,11,23)(3,19,5,16,10,21)(4,20,6,15,9,22),"t24n8992" ],[(1,2)(3,4)(5,10,6,9)(7,11,8,12)(13,23)(14,24)(15,21)(16,22)(17,19)(18,20), (1,15,10,19,5,21)(2,16,9,20,6,22)(3,13,11,17,7,23)(4,14,12,18,8,24),"t24n8993" ],[(5,12,6,11)(7,9,8,10)(13,21)(14,22)(15,24)(16,23)(17,20)(18,19), (1,24,4,22)(2,23,3,21)(5,17)(6,18)(7,19)(8,20)(9,16,12,13)(10,15,11,14), "t24n8994"], [(17,18)(19,20)(21,22)(23,24),(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,16,14,15) (17,19,18,20)(21,23,22,24),(1,6,2,5)(3,7,4,8)(9,14)(10,13)(11,15)(12,16) (21,22)(23,24),(1,7,2,8)(3,5,4,6)(11,12)(13,14)(17,23)(18,24)(19,22)(20,21), (1,8,2,7)(3,5,4,6)(9,16,10,15)(11,14,12,13)(17,24,18,23)(19,21,20,22), (1,21,10,2,22,9)(3,24,12,4,23,11)(5,18,13)(6,17,14)(7,19,16)(8,20,15), "t24n8995"],[(17,18)(19,20)(21,22)(23,24),(11,12)(13,14)(17,23,18,24)(19,21,20,22), (9,13,10,14)(11,16,12,15)(17,21,18,22)(19,23,20,24),(1,3,2,4)(5,7,6,8)(9,12) (10,11)(13,15)(14,16)(17,19,18,20)(21,23,22,24), (1,16,24)(2,15,23)(3,11,17)(4,12,18)(5,9,21)(6,10,22)(7,14,19)(8,13,20), "t24n8996"], [(17,18)(19,20)(21,22)(23,24),(9,13,10,14)(11,16,12,15)(17,21,18,22)(19,23,20,24), (1,6,2,5)(3,8,4,7)(9,14,10,13)(11,15,12,16)(17,22,18,21)(19,24,20,23), (1,7,2,8)(3,5,4,6)(11,12)(13,14)(17,23)(18,24)(19,21)(20,22), (1,8,2,7)(3,5,4,6)(9,16,10,15)(11,14,12,13)(17,24,18,23)(19,21,20,22), (1,23,14,2,24,13)(3,21,16,4,22,15)(5,20,10)(6,19,9)(7,18,11)(8,17,12), "t24n8997"], [(1,13,23,6,10,20,2,14,24,5,9,19)(3,15,21,8,12,18,4,16,22,7,11,17), (1,22,4,24)(2,21,3,23)(5,18,8,19)(6,17,7,20)(9,14,10,13)(11,16)(12,15), "t24n8998"], [(17,18)(19,20)(21,22)(23,24),(3,4)(7,8)(11,12)(15,16)(19,20)(23,24), (1,3,2,4)(5,7,6,8)(9,10)(15,16)(17,19)(18,20)(21,24)(22,23), (1,3,2,4)(5,7,6,8)(9,11,10,12)(13,16,14,15)(17,19,18,20)(21,23,22,24), (1,8,2,7)(3,5,4,6)(9,12,10,11)(13,16,14,15)(17,21)(18,22)(19,24)(20,23), (1,8,2,7)(3,5,4,6)(9,16,10,15)(11,14,12,13)(17,24,18,23)(19,21,20,22), (1,23,9)(2,24,10)(3,22,11)(4,21,12)(5,20,13)(6,19,14)(7,17,16)(8,18,15), "t24n8999"], [(17,18)(19,20)(21,22)(23,24),(9,11)(10,12)(13,16)(14,15)(17,19)(18,20)(21,24)(22,23), (9,11)(10,12)(13,16)(14,15)(17,23,18,24)(19,22,20,21),(1,8,2,7)(3,5,4,6)(9,15) (10,16)(11,14)(12,13)(17,23)(18,24)(19,22)(20,21), (1,16,17)(2,15,18)(3,11,23)(4,12,24)(5,10,19)(6,9,20)(7,13,22)(8,14,21), "t24n9000"]]; TRANSPROPERTIES[24]{[8701..9000]}:= [ [6144,0,1,1, "1150s0510s050A80s045401s2D20s2DA802s3A20" ,[12,192,2024],[24,384,2048],[96,192,512,2024,2384],[4,[-2006,768,1024,3048,4536,5192,5384]], [20244,[[[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2 ],[-4,-2],[-4,1001],[32,3004],[32,3004], [64,1008,1032,2016],[64,1016,2032],[64,3032], [128,1016,1064,2032],[128,1064,3032],[128,1064,3032], [128,1064,3032],[128,3064],[1016,2032,3064], [1128,3064,3256],[1128,7064],[1256,3128,7064], [1256,7128],[2016],[2064],[2064],[5032],[11128]], [[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2], [-4,-2],[-4,1001],[32,3004],[32,3004], [64,1016,2032],[64,3032],[64,3032], [128,1016,1064,2032],[128,3064],[1008,2016,3032], [1016,2032,3064],[1128,7064],[1256,3064,5128], [1256,3128,7064],[2016],[2064],[2064],[3032,3064], [3032,3064],[3032,3064],[3128,3256],[11128]], [[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2], [-4,-2],[-4,1001],[32,3004],[32,3004], [64,1016,2032],[64,3032],[128,1016,1064,2032], [128,3064],[1008,2016,3032],[1016,2032,3064], [1256,7128],[1256,7128],[2016],[2064],[2064], [3032,3064],[3032,3064],[3032,3064],[5032], [5128,11064],[5128,11064],[7032,7064]]]]], [6144,0,1,1, "1550s0510s058A80s045401s2D20s2D2802s3A20" ,[12,192,2024],[24,384,2048],[96,192,512,2024,2384], [20244,[[[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2 ],[-4,-2],[-4,1001],[32,3004], [64,1016,1032,3008],[64,1032,3016],[64,1032,3016], [64,1032,3016],[64,3032],[64,3032],[128,3016,5032], [128,3016,5032],[128,7032],[128,7032],[128,7032], [128,7032],[256,3064,7032],[256,3064,7032], [1016,3004],[1128,3064,3256],[1128,7064],[2016], [5128],[5128],[11128]], [[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2], [-4,-2],[-4,1001],[32,3004],[64,1032,3016], [64,1032,3016],[64,3032],[64,3032],[128,3016,5032], [128,7032],[1016,3004],[1016,3008,3032], [1064,3016,5032],[1064,7032],[1064,7032], [1064,7032],[1128,3064,7032],[1128,3064,7032], [1128,7064],[2016],[3016,3032],[3064,9128], [3128,3256],[5128],[5128]], [[-3002,1004,1016],[-1002,4,16],[-1002,4,16], [-4,-2],[-4,1001],[-2,4],[32,3004],[32,3004], [64,3032],[64,7016],[128,3016,5032],[128,7032], [1032,1128,6064],[1032,1128,6064],[1032,3008,5016], [1032,7016],[1064,1128,11032],[1064,1128,11032], [1064,3016,5032],[1064,3032,7016],[1064,3032,7016], [1064,3032,7016],[1256,7128],[3016,3032],[5008], [5032],[7032,7064],[7064,7128]]]]], [6144,0,1,1, "1550s0510s058A80s045401s2D20s2D2802s3A20" ,[12,192,2024],[24,384,2048],[96,192,512,2024,2384], [20244,[[[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2 ],[-4,-2],[-4,1001],[32,3004], [64,1016,1032,3008],[64,1032,3016],[64,1032,3016], [64,3032],[64,3032],[128,3016,5032], [128,3016,5032],[128,7032],[128,7032],[128,7032], [128,7032],[256,3064,7032],[256,3064,7032], [1016,3004],[1128,3064,3256],[1128,7064],[2016], [3016,3032],[5128],[5128],[11128]], [[-3002,32,1004],[-1002,4,16],[-1002,4,16],[-4,-2], [-4,-2],[-4,1001],[32,3004],[64,1032,3016], [64,1032,3016],[64,3032],[64,3032],[128,3016,5032], [128,7032],[1016,3004],[1016,3008,3032], [1064,3016,5032],[1064,7032],[1064,7032], [1064,7032],[1128,3064,7032],[1128,3064,7032], [1128,7064],[2016],[3016,3032],[3064,9128], [3128,3256],[5128],[5128]], [[-3002,1004,1016],[-1002,4,16],[-1002,4,16], [-4,-2],[-4,1001],[-2,4],[32,3004],[32,3004], [64,3032],[64,7016],[128,3016,5032],[128,7032], [1032,1128,6064],[1032,1128,6064],[1032,3008,5016], [1032,7016],[1064,1128,11032],[1064,1128,11032], [1064,3016,5032],[1064,3032,7016],[1064,3032,7016], [1064,3032,7016],[1256,7128],[3016,3032],[5008], [5032],[7032,7064],[7064,7128]]]]], [6144,0,1,1, "1150s0510s050A80s045401s2D20s2DA802s3A20" 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