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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 trans24aa.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]{[7801..8100]}:= [[(1,5,7,11)(2,4,9,12)(3,6,8,10)(13,17,19,23)(14,16,21,24)(15,18,20,22), (1,13,3,15,2,14)(4,23)(5,22)(6,24)(7,20)(8,21)(9,19)(10,18,11,17,12,16), "t24n7801"], [(1,7)(2,9)(3,8)(4,11)(5,10)(6,12)(13,21,14,20,15,19)(16,22,17,24,18,23), (1,11,9,6)(2,10,8,4)(3,12,7,5)(13,24,21,16,15,22,19,18,14,23,20,17), (1,24,2,23,3,22)(4,20,6,21,5,19)(7,17)(8,16)(9,18)(10,14,11,13,12,15), "t24n7802"], [(1,9,2,8,3,7)(4,11,5,10,6,12)(13,19,14,21,15,20)(16,24,17,23,18,22), (1,18,2,17,3,16)(4,19,6,21,5,20)(7,15,8,14,9,13)(10,24,12,23,11,22), (1,18,3,16,2,17)(4,21,6,20,5,19)(7,13)(8,15)(9,14)(10,22)(11,23)(12,24), "t24n7803"], [(1,14,5,24,2,15,4,22,3,13,6,23)(7,16,11,21,8,17,10,19,9,18,12,20), (1,17,3,16,2,18)(4,21,5,20,6,19)(7,15,8,13,9,14)(10,22)(11,24)(12,23), "t24n7804"], [(1,10)(2,11)(3,12)(4,8)(5,9)(6,7)(13,18,15,17,14,16)(19,22)(20,23)(21,24), (1,13,4,23,3,14,6,22,2,15,5,24)(7,17,12,19)(8,16,10,20)(9,18,11,21),"t24n7805" ],[(1,5,8,12)(2,4,7,10)(3,6,9,11)(13,17,21,22)(14,16,20,23)(15,18,19,24), (1,19,8,14,3,20,9,13,2,21,7,15)(4,16,10,23,6,18,11,24,5,17,12,22),"t24n7806"], [(1,16,8,24,3,17,9,23,2,18,7,22)(4,13,11,21,6,14,12,20,5,15,10,19), (1,19,7,14,2,20,9,13,3,21,8,15)(4,16,11,22,5,18,10,23,6,17,12,24),"t24n7807"], [(1,4,3,5,2,6)(7,10,8,12,9,11)(13,18)(14,17)(15,16)(19,24,21,23,20,22), (1,14,10,20,5,17,7,24,3,15,11,21,6,16,9,22,2,13,12,19,4,18,8,23),"t24n7808"], [(1,11,4,7,3,12,5,9,2,10,6,8)(13,24,16,21)(14,23,18,20)(15,22,17,19), (1,14,5,16)(2,13,4,17)(3,15,6,18)(7,23,11,20,9,22,12,19,8,24,10,21),"t24n7809" ],[(1,17,11,3,16,10,2,18,12)(4,14,8,5,15,9,6,13,7)(19,20,21)(22,24,23), (1,18,6,13,3,17,5,15,2,16,4,14)(7,19,10,23,9,21,12,22,8,20,11,24),"t24n7810"], [(1,5,3,4,2,6)(7,15,23,12,18,20)(8,13,24,10,16,21)(9,14,22,11,17,19), (1,9,15,5,12,18)(2,7,13,6,10,16)(3,8,14,4,11,17)(19,24)(20,22)(21,23), "t24n7811"], [(1,16,21,4,15,22,3,17,20,5,14,23,2,18,19,6,13,24)(7,12)(8,11)(9,10), (1,19,3,21,2,20)(4,22)(5,23)(6,24)(7,16,8,17,9,18)(10,13,11,14,12,15), "t24n7812"],[(1,9,14,3,8,13,2,7,15)(4,11,16,5,12,17,6,10,18)(19,21,20), (1,13,7)(2,14,8)(3,15,9)(4,17,10)(5,18,11)(6,16,12)(19,21,20)(22,24,23), (1,21,9,18)(2,19,7,16)(3,20,8,17)(4,23,12,14)(5,24,10,15)(6,22,11,13), "t24n7813"], [(1,6)(2,5)(3,4)(7,16,9,17,8,18)(10,13,11,15,12,14)(19,24,20,23,21,22), (1,15,22,3,14,24,2,13,23)(4,16,19,5,17,20,6,18,21)(7,9,8), (1,15,3,14,2,13)(4,16,6,18,5,17)(7,23)(8,24)(9,22)(10,20,11,21,12,19), "t24n7814"], [(1,19,13,6,23,18,3,21,14,5,22,16,2,20,15,4,24,17)(7,12)(8,10)(9,11), (1,24,6,20,3,23,5,19,2,22,4,21)(7,16,11,13,9,18,10,15,8,17,12,14),"t24n7815"], [(1,12,4,7,3,10,6,8,2,11,5,9)(13,22,17,21,15,23,16,19,14,24,18,20), (1,13,9,5,18,12,2,15,8,6,17,11,3,14,7,4,16,10)(19,22,21,24,20,23),"t24n7816"], [(1,4,20,23,15,12,24,22,17,6,8)(2,3,5,16,11,9,21,18,10,13,7), (1,24,3,16,7,8,2,11,14,18,21)(4,19,15,17,13,6,12,22,5,10,20),"t24n7817"], [(1,3,5,7,2,4,6,8)(9,11,13,16,10,12,14,15)(17,19,21,23,18,20,22,24), (1,14,17,7,11,23,6,9,22,3,16,20,2,13,18,8,12,24,5,10,21,4,15,19),"t24n7818"], [(1,2)(3,4)(5,6)(7,8)(11,12)(15,16)(21,22)(23,24), (1,19,15,3,22,9,5,24,12,7,18,14)(2,20,16,4,21,10,6,23,11,8,17,13),"t24n7819"], [(21,22)(23,24),(3,4)(7,8),(1,3,2,4)(5,7,6,8)(9,16,10,15)(11,14,12,13) (17,19,18,20)(21,23,22,24),(1,5,2,6)(3,7,4,8)(9,14,10,13)(11,15,12,16)(17,22) (18,21)(19,24)(20,23),(1,12,21,2,11,22)(3,13,23,4,14,24)(5,15,17)(6,16,18) (7,10,20)(8,9,19),"t24n7820"], [(1,6)(2,5)(3,7,4,8)(9,14)(10,13)(11,16,12,15)(17,22,18,21)(19,24)(20,23), (1,7,2,8)(3,5)(4,6)(9,11)(10,12)(13,16,14,15)(17,24,18,23)(19,22)(20,21), (1,14,21,4,12,23)(2,13,22,3,11,24)(5,10,18,8,16,19)(6,9,17,7,15,20),"t24n7821" ], [(21,22)(23,24),(1,7)(2,8)(3,6)(4,5)(9,11,10,12)(13,15,14,16)(17,19,18,20)(21,23, 22,24),(1,11,20,2,12,19)(3,13,22)(4,14,21)(5,15,24,6,16,23)(7,9,17)(8,10,18) ,(1,23,2,24)(3,18,4,17)(5,20)(6,19)(7,22)(8,21)(9,13,10,14)(11,16,12,15), "t24n7822"], [(1,6,2,5)(3,7)(4,8)(9,21)(10,22)(11,23)(12,24)(13,18,14,17)(15,20,16,19), (1,17,11,7,19,9)(2,18,12,8,20,10)(3,24,13,5,22,15,4,23,14,6,21,16),"t24n7823"] ,[(1,3,2,4)(5,7)(6,8)(9,23)(10,24)(11,21,12,22)(13,20)(14,19)(15,18,16,17), (1,15,2,16)(3,10,4,9)(5,12,6,11)(7,14,8,13)(17,22,18,21)(19,24)(20,23), "t24n7824"], [(21,22)(23,24),(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,15,14,16)(17,23,18,24) (19,22,20,21),(1,5,2,6)(3,7,4,8)(9,14,10,13)(11,15,12,16)(17,22)(18,21) (19,24)(20,23),(1,24,11,2,23,12)(3,21,15,4,22,16)(5,18,14,6,17,13) (7,19,9,8,20,10),"t24n7825"], [(1,13,20,2,14,19)(3,9,18)(4,10,17)(5,11,22)(6,12,21)(7,15,23,8,16,24), (1,22,9)(2,21,10)(3,23,14)(4,24,13)(5,20,16)(6,19,15)(7,17,11)(8,18,12), (1,22,9)(2,21,10)(3,23,14)(4,24,13)(5,20,16,6,19,15)(7,17,11,8,18,12), "t24n7826"], [(1,3,6,8)(2,4,5,7)(9,23,13,19,10,24,14,20)(11,18,16,22,12,17,15,21), (1,12,6,15,2,11,5,16)(3,14,8,10,4,13,7,9)(17,19,22,23)(18,20,21,24),"t24n7827" ],[(1,4,5,7,2,3,6,8)(9,23,14,20)(10,24,13,19)(11,17,16,22)(12,18,15,21), (1,9,21)(2,10,22)(3,12,24,4,11,23)(5,13,18,6,14,17)(7,15,19)(8,16,20), "t24n7828"], [(1,7,16,24,2,8,15,23)(3,10,17,19)(4,9,18,20)(5,11,14,21,6,12,13,22), (1,22,18,7,5,19,15,12,4,23,13,9)(2,21,17,8,6,20,16,11,3,24,14,10),"t24n7829"], [(1,3,6)(2,4,5)(7,10,12)(8,9,11)(13,16,17)(14,15,18)(19,22,23)(20,21,24), (1,12,18,23,6,9,15,21,4,7,14,20,2,11,17,24,5,10,16,22,3,8,13,19),"t24n7830"], [(1,17)(2,18)(3,14,4,13)(5,15)(6,16)(7,24,8,23)(9,20)(10,19)(11,21)(12,22), (1,22,5,19,3,24,2,21,6,20,4,23)(7,17,12,16,9,14,8,18,11,15,10,13),"t24n7831"], [(1,7,4,10,5,11)(2,8,3,9,6,12)(13,20,15,22,18,23)(14,19,16,21,17,24), (1,23,4,19,6,22)(2,24,3,20,5,21)(7,13,10,16,12,17)(8,14,9,15,11,18),"t24n7832" ],[(1,12,6,9,4,7,2,11,5,10,3,8)(13,24,17,22,16,19,14,23,18,21,15,20), (1,22,5,19,4,23,2,21,6,20,3,24)(7,18,11,15,10,13,8,17,12,16,9,14),"t24n7833"], [(1,11,6,9,3,8)(2,12,5,10,4,7)(13,23,18,22,15,20)(14,24,17,21,16,19), (1,15,4,18,6,14)(2,16,3,17,5,13)(7,22,9,23,11,19)(8,21,10,24,12,20), (1,22,5,19,3,24)(2,21,6,20,4,23)(7,18,11,15,9,13)(8,17,12,16,10,14),"t24n7834" ],[(1,10,4,11,6,8,2,9,3,12,5,7)(13,23,15,19,17,21,14,24,16,20,18,22), (1,22)(2,21)(3,19)(4,20)(5,24)(6,23)(7,13)(8,14)(9,18,10,17)(11,16,12,15), "t24n7835"], [(1,17)(2,18)(3,16)(4,15)(5,14)(6,13)(7,22,8,21)(9,19)(10,20)(11,23,12,24), (1,21,2,22)(3,19,4,20)(5,24,6,23)(7,14,8,13)(9,18)(10,17)(11,16)(12,15), "t24n7836"], [(1,9,4,11,5,8,2,10,3,12,6,7)(13,23,15,20,18,21,14,24,16,19,17,22), (1,18)(2,17)(3,15)(4,16)(5,14,6,13)(7,22,8,21)(9,19,10,20)(11,23,12,24), "t24n7837"], [(1,11,2,12)(3,8)(4,7)(5,9,6,10)(13,19)(14,20)(15,21)(16,22)(17,24)(18,23), (1,15,2,16)(3,14,4,13)(5,17)(6,18)(7,20)(8,19)(9,23,10,24)(11,22,12,21), (1,19)(2,20)(3,23,4,24)(5,22)(6,21)(7,18,8,17)(9,16,10,15)(11,13,12,14), "t24n7838"], [(1,5,3,2,6,4)(7,11,9,8,12,10)(13,17,15,14,18,16)(19,23,22,20,24,21), (1,16)(2,15)(3,14,4,13)(5,17,6,18)(7,19,8,20)(9,24)(10,23)(11,21,12,22), (1,22)(2,21)(3,20,4,19)(5,23,6,24)(7,14)(8,13)(9,18,10,17)(11,16,12,15), "t24n7839"], [(1,14)(2,13)(3,17,4,18)(5,15)(6,16)(7,24,8,23)(9,22,10,21)(11,19,12,20), (1,21)(2,22)(3,19)(4,20)(5,23,6,24)(7,13)(8,14)(9,18)(10,17)(11,15,12,16), "t24n7840"], [(1,8)(2,7)(3,11,4,12)(5,9)(6,10)(13,19)(14,20)(15,23)(16,24)(17,22,18,21), (1,13,24)(2,14,23)(3,17,19)(4,18,20)(5,15,22,6,16,21)(7,10,12,8,9,11), (1,21)(2,22)(3,23)(4,24)(5,19,6,20)(7,18)(8,17)(9,14)(10,13)(11,15,12,16), "t24n7841"], [(1,9,15)(2,10,16)(3,8,13)(4,7,14)(5,12,17,6,11,18)(19,24,22,20,23,21), (1,15,10)(2,16,9)(3,13,8)(4,14,7)(5,18,12,6,17,11)(19,22,24,20,21,23), (1,21)(2,22)(3,23,4,24)(5,19,6,20)(7,17,8,18)(9,14)(10,13)(11,15,12,16), "t24n7842"], [(1,7,16,24,2,8,15,23)(3,12,18,21,4,11,17,22)(5,9,14,20)(6,10,13,19), (1,12,15,22)(2,11,16,21)(3,10,17,20,4,9,18,19)(5,7,14,24,6,8,13,23), (1,18,6,15,4,14)(2,17,5,16,3,13)(7,20,11,24,9,21)(8,19,12,23,10,22),"t24n7843" ],[(1,14,4,16,5,18,2,13,3,15,6,17)(7,22,9,24,12,19,8,21,10,23,11,20), (1,21,15,11)(2,22,16,12)(3,19,17,10,4,20,18,9)(5,24,14,8)(6,23,13,7), "t24n7844"], [(1,11,22,14)(2,12,21,13)(3,10,24,15)(4,9,23,16)(5,8,19,18)(6,7,20,17), (1,17)(2,18)(3,13,4,14)(5,15,6,16)(9,12)(10,11)(19,24,20,23)(21,22),"t24n7845"], [(1,10,2,9)(3,8)(4,7)(5,11,6,12)(15,18,16,17)(21,23,22,24), (1,13,21,11)(2,14,22,12)(3,16,24,9,4,15,23,10)(5,18,20,7,6,17,19,8),"t24n7846" ],[(1,10)(2,9)(3,7,4,8)(5,12,6,11)(13,21,14,22)(15,20)(16,19)(17,24,18,23), (1,14,6,18,4,15)(2,13,5,17,3,16)(7,23,12,21,9,20)(8,24,11,22,10,19), (1,24,5,21,3,20)(2,23,6,22,4,19)(7,13,12,17,10,15)(8,14,11,18,9,16),"t24n7847" ],[(1,11,3,7,6,10)(2,12,4,8,5,9)(13,21,16,24,17,19)(14,22,15,23,18,20), (1,14,5,17,3,16)(2,13,6,18,4,15)(7,24,11,22,9,19)(8,23,12,21,10,20), (1,17)(2,18)(3,15,4,16)(5,14,6,13)(7,21,8,22)(9,19,10,20)(11,24)(12,23), "t24n7848"], [(3,5)(4,6)(7,9,8,10)(11,12)(13,18,14,17)(15,16)(19,20)(21,24,22,23), (1,22,14,12,4,23,16,8,5,19,18,10)(2,21,13,11,3,24,15,7,6,20,17,9),"t24n7849"], [(3,5,4,6)(7,10)(8,9)(11,12)(13,18)(14,17)(15,16)(19,20)(21,24)(22,23), (1,10,15,23,2,9,16,24)(3,7,18,22)(4,8,17,21)(5,11,14,19,6,12,13,20),"t24n7850" ],[(1,2)(3,6,4,5)(7,24)(8,23)(9,22,10,21)(11,19,12,20)(13,17,14,18)(15,16), (1,10,18,20,6,7,15,23,3,11,13,21)(2,9,17,19,5,8,16,24,4,12,14,22),"t24n7851"], [(1,3,2,4)(7,19,8,20)(9,24,10,23)(11,21)(12,22)(15,18,16,17), (1,10,18,19,5,7,16,24,4,12,14,22)(2,9,17,20,6,8,15,23,3,11,13,21),"t24n7852"], [(1,2)(3,5,4,6)(7,12)(8,11)(13,24)(14,23)(15,21,16,22)(17,20,18,19), (1,14,6,18,3,16)(2,13,5,17,4,15)(7,19,11,24,10,21)(8,20,12,23,9,22),"t24n7853" ],[(1,11)(2,12)(3,10,4,9)(5,7,6,8)(13,17,14,18)(19,22,20,21), (1,15,10,23,2,16,9,24)(3,13,11,22,4,14,12,21)(5,18,8,19)(6,17,7,20),"t24n7854" ],[(1,14,4,15,5,18)(2,13,3,16,6,17)(7,11,9,8,12,10)(19,23,22,20,24,21), (1,19)(2,20)(3,22,4,21)(5,24,6,23)(7,17)(8,18)(9,14)(10,13)(11,16)(12,15), "t24n7855"], [(1,7,13,19,4,10,16,21,6,12,18,23)(2,8,14,20,3,9,15,22,5,11,17,24), (1,24,3,19,6,21)(2,23,4,20,5,22)(7,16,9,17,11,14)(8,15,10,18,12,13),"t24n7856" ],[(1,11,2,12)(3,9,4,10)(5,8)(6,7)(13,24,14,23)(15,21)(16,22)(17,19,18,20), (1,17,5,15,3,13)(2,18,6,16,4,14)(7,9,11)(8,10,12)(19,21,23)(20,22,24), "t24n7857"], [(1,8,15,23,2,7,16,24)(3,11,17,22,4,12,18,21)(5,10,13,20)(6,9,14,19), (1,10,2,9)(3,7)(4,8)(5,11,6,12)(13,21)(14,22)(15,19,16,20)(17,24,18,23), "t24n7858"], [(1,11,8,2,12,7)(3,9,5,4,10,6)(13,19,24)(14,20,23)(15,18,22)(16,17,21), (1,23,4,21,2,24,3,22)(5,14)(6,13)(7,16,8,15)(9,19,11,17,10,20,12,18), (1,24,3,21)(2,23,4,22)(5,13,6,14)(7,15,8,16)(9,20,12,17)(10,19,11,18), "t24n7859"], [(1,3,2,4)(5,9,6,10)(7,11,8,12)(13,21,14,22)(15,24,16,23)(17,18)(19,20), (1,15,3,14,2,16,4,13)(5,23,8,22,6,24,7,21)(9,17,11,19,10,18,12,20), (1,20,4,17)(2,19,3,18)(5,15,8,14)(6,16,7,13)(9,21,12,24)(10,22,11,23), "t24n7860"],[(5,8)(6,7)(9,12)(10,11)(13,16,14,15)(17,18)(21,24,22,23), (1,23,9,20,6,14)(2,24,10,19,5,13)(3,22,12,18,7,15,4,21,11,17,8,16), (1,24,10,19,5,14,2,23,9,20,6,13)(3,22,12,17,8,16,4,21,11,18,7,15),"t24n7861"], [(21,22)(23,24),(5,9)(6,10)(7,12)(8,11)(17,23)(18,24)(19,21)(20,22), (1,3)(2,4)(5,8)(6,7)(9,11)(10,12)(13,15,14,16)(17,20,18,19)(21,23,22,24), (1,8,12,2,7,11)(3,5,9)(4,6,10)(13,17,23)(14,18,24)(15,19,21)(16,20,22), (1,21,7,15,12,19)(2,22,8,16,11,20)(3,23,5,13,9,17)(4,24,6,14,10,18),"t24n7862" ],[(1,3)(2,4)(7,8)(9,11)(10,12)(13,15)(14,16)(17,20)(18,19)(21,22), (1,10,8,2,9,7)(3,11,6,4,12,5)(13,21,20)(14,22,19)(15,24,17,16,23,18), (1,19,2,20)(3,17)(4,18)(5,24,6,23)(7,21)(8,22)(9,14,10,13)(11,16)(12,15), "t24n7863"], [(1,19)(2,20)(3,18,4,17)(5,24)(6,23)(7,22,8,21)(9,13)(10,14)(11,16,12,15), 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[(9,10)(11,12)(13,14)(15,16)(21,22)(23,24),(1,15,18,2,16,17)(3,14,19,4,13,20) (5,10,22)(6,9,21)(7,12,23)(8,11,24),(1,16,7,9)(2,15,8,10)(3,13,6,11) (4,14,5,12)(17,21,20,23,18,22,19,24),"t24n7917"], [(1,6,3,8,2,5,4,7)(9,22,12,24,10,21,11,23)(13,17,15,19,14,18,16,20), (1,23,10,7,20,14,4,22,11,6,18,15,2,24,9,8,19,13,3,21,12,5,17,16),"t24n7918"], [(1,7,2,8)(3,5,4,6)(9,23,10,24)(11,21,12,22)(13,17)(14,18)(15,20)(16,19), (1,20)(2,19)(3,18,4,17)(5,22)(6,21)(7,24,8,23)(13,16)(14,15),"t24n7919"], [(1,2)(3,4)(5,7,6,8)(9,17)(10,18)(11,19,12,20)(13,21)(14,22)(15,23,16,24), (1,5,3,7,2,6,4,8)(9,16,11,14,10,15,12,13)(17,21,20,24,18,22,19,23), (1,24,2,23)(3,22)(4,21)(5,19)(6,20)(7,17,8,18)(9,16,10,15)(11,14,12,13), "t24n7920"], [(1,8,4,6,2,7,3,5)(9,19,13,23)(10,20,14,24)(11,18,15,21,12,17,16,22), (1,18,6,23,2,17,5,24)(3,19,8,22)(4,20,7,21)(9,16,11,13,10,15,12,14),"t24n7921" ],[(1,6,3,8)(2,5,4,7)(9,21,11,24)(10,22,12,23)(13,17,15,19)(14,18,16,20), 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[(21,22)(23,24),(1,6,2,5)(3,8,4,7)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24), (1,9,17)(2,10,18)(3,12,19,4,11,20)(5,15,22)(6,16,21)(7,14,23,8,13,24), (1,14)(2,13)(3,16)(4,15)(5,11,6,12)(7,9,8,10)(17,24)(18,23)(19,21)(20,22), "t24n7937"], [(1,11,7,4,9,6)(2,12,8,3,10,5)(13,20,22,15,17,24,14,19,21,16,18,23), (1,13,3,15)(2,14,4,16)(5,17,8,20,6,18,7,19)(9,22,10,21)(11,24)(12,23), "t24n7938"], [(1,11,5,4,10,7,2,12,6,3,9,8)(13,18,23,16,19,21)(14,17,24,15,20,22), (1,24,3,22,2,23,4,21)(5,14)(6,13)(7,16,8,15)(9,18,12,19,10,17,11,20), "t24n7939"], [(21,22)(23,24),(1,3)(2,4)(5,6)(13,14)(15,16)(17,19)(18,20)(21,22), (1,6,12,2,5,11)(3,8,9)(4,7,10)(13,22,19,14,21,20)(15,24,17)(16,23,18), (1,13)(2,14)(3,15)(4,16)(5,20)(6,19)(7,17)(8,18)(9,24,10,23)(11,22,12,21), "t24n7940"], [(21,22)(23,24),(1,3)(2,4)(17,20)(18,19)(21,22)(23,24),(1,6,12,2,5,11)(3,8,9) (4,7,10)(13,22,19,14,21,20)(15,24,17)(16,23,18),(1,13)(2,14)(3,15)(4,16)(5,20) (6,19)(7,17)(8,18)(9,24,10,23)(11,22,12,21),"t24n7941"], 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(1,13,24,3,15,21,2,14,23,4,16,22)(5,10,18,7,11,19,6,9,17,8,12,20), (1,22,7,19)(2,21,8,20)(3,24,6,18)(4,23,5,17)(9,13,12,15)(10,14,11,16), "t24n7947"], [(1,7,2,8)(3,5,4,6)(9,14)(10,13)(11,15)(12,16),(1,13,24,3,15,21)(2,14,23,4,16, 22)(5,9,17,7,11,19)(6,10,18,8,12,20), (1,18,7,23,2,17,8,24)(3,20,5,21,4,19,6,22)(9,13,12,16,10,14,11,15),"t24n7948"] ,[(1,12,5,14,2,11,6,13)(3,10,8,16,4,9,7,15)(17,20,18,19)(21,24)(22,23), (1,17,15,8,21,11,2,18,16,7,22,12)(3,19,14,5,23,9,4,20,13,6,24,10), (1,20,10)(2,19,9)(3,18,12,4,17,11)(5,22,16)(6,21,15)(7,23,14,8,24,13), "t24n7949"], [(21,22)(23,24),(3,4)(7,8)(11,12)(15,16)(19,20)(23,24),(3,4)(5,6)(9,19,10,20) (11,18,12,17)(13,24,14,23)(15,22,16,21),(1,3,2,4)(5,7,6,8)(9,12,10,11) (13,16,14,15)(17,21)(18,22)(19,23)(20,24),(1,9,20)(2,10,19)(3,12,17)(4,11,18) (5,15,21)(6,16,22)(7,14,23)(8,13,24),"t24n7950"], [(21,22)(23,24),(3,4)(5,11)(6,12)(7,9)(8,10)(13,14)(17,23,18,24)(19,21,20,22), (1,3)(2,4)(5,7)(6,8)(13,15)(14,16)(17,19)(18,20)(21,22)(23,24), 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[(7,8)(9,11,10,12)(13,14)(17,18)(19,20)(21,24)(22,23),(1,8,12,3,5,9,2,7,11,4,6, 10)(13,17,21,15,19,24)(14,18,22,16,20,23),(1,16,2,15)(3,13)(4,14)(5,20,6,19) (7,17)(8,18)(9,21)(10,22)(11,23,12,24),"t24n7978"], [(21,22)(23,24),(1,3,2,4)(5,6)(11,12)(13,16,14,15)(19,20)(21,22), (1,5,11,2,6,12)(3,8,10)(4,7,9)(13,19,21,14,20,22)(15,18,24)(16,17,23), (1,16,2,15)(3,13,4,14)(5,17,6,18)(7,20,8,19)(9,22)(10,21)(11,23)(12,24), "t24n7979"], [(1,19,11,14,5,22)(2,20,12,13,6,21)(3,17,9,15,7,23,4,18,10,16,8,24), (1,21,7,15,10,19,2,22,8,16,9,20)(3,23,5,14,11,18,4,24,6,13,12,17),"t24n7980"], [(1,11,7,3,10,6,2,12,8,4,9,5)(13,21,17,16,23,19,14,22,18,15,24,20), (1,18,12,15,6,24)(2,17,11,16,5,23)(3,20,10,14,8,21,4,19,9,13,7,22),"t24n7981"] ,[(1,17,9,13,8,23)(2,18,10,14,7,24)(3,20,11,16,5,22,4,19,12,15,6,21), (1,19,11,16,7,23,2,20,12,15,8,24)(3,18,10,14,5,22)(4,17,9,13,6,21),"t24n7982"] ,[(1,10,6,3,11,8)(2,9,5,4,12,7)(13,23,20,15,22,18)(14,24,19,16,21,17), (1,23,5,14,9,20,2,24,6,13,10,19)(3,22,8,15,12,18)(4,21,7,16,11,17),"t24n7983"] , [(21,22)(23,24),(1,3)(2,4)(5,7)(6,8)(9,12)(10,11)(13,15)(14,16)(17,20)(18,19)(21, 23)(22,24),(1,4,2,3)(5,7,6,8)(9,10)(11,12)(17,21,18,22)(19,23,20,24), (1,11,19)(2,12,20)(3,10,18,4,9,17)(5,14,21,6,13,22)(7,16,24)(8,15,23), "t24n7984"], [(21,22)(23,24),(1,3)(2,4)(5,7)(6,8)(9,12)(10,11)(13,15)(14,16)(17,20)(18,19) (21,23)(22,24),(1,4,2,3)(5,7,6,8)(9,10)(13,14)(17,22,18,21)(19,23,20,24), (1,11,19)(2,12,20)(3,10,18,4,9,17)(5,14,21,6,13,22)(7,16,24)(8,15,23), "t24n7985"], [(1,2)(3,4)(5,8,6,7)(9,21,13,18)(10,22,14,17)(11,24,16,19)(12,23,15,20), (1,17,6,24)(2,18,5,23)(3,19,8,21)(4,20,7,22)(9,12)(10,11)(13,14),"t24n7986"], [(1,2)(5,7,6,8)(9,17,14,22,10,18,13,21)(11,19,16,23,12,20,15,24), (1,15,19,3,14,18,2,16,20,4,13,17)(5,9,23,7,11,22,6,10,24,8,12,21),"t24n7987"], [(1,3)(2,4)(7,8)(9,11)(10,12)(15,16)(17,20)(18,19)(23,24), (1,8)(2,7)(3,6,4,5)(9,22)(10,21)(11,24,12,23)(13,19)(14,20)(15,17,16,18), 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20,24),(1,9,20,2,10,19)(3,12,18,4,11,17)(5,15,23)(6,16,24)(7,14,21)(8,13,22) ,(1,9,2,10)(3,12,4,11)(5,16,6,15)(7,13,8,14),"t24n7992"], [(1,6,4,8)(2,5,3,7)(9,23,11,21)(10,24,12,22)(13,19,16,18)(14,20,15,17), (1,9,2,10)(3,11,4,12)(5,16,6,15)(7,14,8,13)(17,18)(21,22), (1,10,2,9)(3,11,4,12)(5,14,6,13)(7,16,8,15)(21,23,22,24),"t24n7993"], [(1,14,18,6,10,22,3,16,19,8,11,23,2,13,17,5,9,21,4,15,20,7,12,24), (1,20,2,19)(3,17,4,18)(5,24)(6,23)(7,21)(8,22)(9,10)(15,16), (1,23,2,24)(3,22)(4,21)(5,20)(6,19)(7,18,8,17)(9,15,10,16)(11,14)(12,13), "t24n7994"], [(21,22)(23,24),(3,4)(7,8)(11,12)(15,16)(19,20)(23,24),(1,3)(2,4)(9,12)(10,11) (17,19)(18,20),(1,5,3,7)(2,6,4,8)(9,16,12,13)(10,15,11,14)(17,22,19,24) (18,21,20,23),(1,9,20,2,10,19)(3,12,18,4,11,17)(5,15,23)(6,16,24)(7,14,21) (8,13,22),(1,9,2,10)(3,12,4,11)(5,16,6,15)(7,13,8,14),"t24n7995"], [(1,9,18)(2,10,17)(3,11,19,4,12,20)(5,15,21)(6,16,22)(7,14,24,8,13,23), (1,14,20,8,12,22,4,15,18,6,10,23,2,13,19,7,11,21,3,16,17,5,9,24),"t24n7996"], 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(1,18,3,20)(2,17,4,19)(5,24,7,21)(6,23,8,22)(9,12)(10,11)(15,16), (1,24,2,23)(3,21)(4,22)(5,18)(6,17)(7,20,8,19)(9,15,12,14,10,16,11,13), "t24n8067"],[(1,2)(3,4)(9,20,10,19)(11,17,12,18)(13,22,14,21)(15,24,16,23), (1,5,4,7,2,6,3,8)(9,21,11,23,10,22,12,24)(13,18,16,19,14,17,15,20), (1,21,3,24,2,22,4,23)(5,20,7,17,6,19,8,18)(9,14,11,16,10,13,12,15),"t24n8068"] , [(3,4)(7,8)(11,12)(15,16)(17,20,18,19)(21,24,22,23),(1,15)(2,16)(3,13,4,14)(5,11) (6,12)(7,10,8,9)(17,24,20,21,18,23,19,22),(1,18,4,20)(2,17,3,19)(5,21,8,24) (6,22,7,23)(9,10)(15,16),"t24n8069"], [(1,15)(2,16)(3,13,4,14)(5,11,6,12)(7,9)(8,10)(17,24,20,22)(18,23,19,21), (1,21,3,24)(2,22,4,23)(5,20,7,18)(6,19,8,17)(9,15,11,14)(10,16,12,13), (1,24,11,8,20,15,3,22,10,5,18,13)(2,23,12,7,19,16,4,21,9,6,17,14),"t24n8070"], [(1,17,4,19)(2,18,3,20)(5,22,7,23)(6,21,8,24)(11,12)(15,16), (1,22,11,7,18,16,3,23,9,6,20,14)(2,21,12,8,17,15,4,24,10,5,19,13),"t24n8071"], [(1,11,4,9,2,12,3,10)(5,13,7,15,6,14,8,16)(17,18)(19,20)(21,22)(23,24), 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[(1,18,13,4,19,16)(2,17,14,3,20,15)(5,22,9,8,24,12)(6,21,10,7,23,11), (1,24,10,2,23,9)(3,21,12,4,22,11)(5,17,16)(6,18,15)(7,20,13)(8,19,14), "t24n8083"], [(1,14,19,3,16,17,2,13,20,4,15,18)(5,10,23,7,11,22,6,9,24,8,12,21), (1,18,11,4,20,10,2,17,12,3,19,9)(5,22,13,8,23,15,6,21,14,7,24,16),"t24n8084"], [(1,12,23)(2,11,24)(3,9,21)(4,10,22)(5,13,17,6,14,18)(7,15,20,8,16,19), (1,16,22,4,14,24,2,15,21,3,13,23)(5,12,19,7,10,17,6,11,20,8,9,18),"t24n8085"], [(1,2)(7,8)(9,14,12,16)(10,13,11,15)(17,23,19,21)(18,24,20,22), (1,10,24,4,12,21)(2,9,23,3,11,22)(5,15,18,8,14,20)(6,16,17,7,13,19), (1,13,23,2,14,24)(3,15,22,4,16,21)(5,9,17,6,10,18)(7,12,19,8,11,20),"t24n8086" ],[(3,4)(5,6)(9,14,12,15,10,13,11,16)(17,22,19,24,18,21,20,23), (1,3)(2,4)(5,8)(6,7)(9,16,12,14,10,15,11,13)(17,22,20,23,18,21,19,24), (1,13,24,4,15,22,2,14,23,3,16,21)(5,10,17,8,12,19,6,9,18,7,11,20),"t24n8087"], [(1,8,3,6,2,7,4,5)(9,14,12,15,10,13,11,16)(17,18)(19,20)(21,22)(23,24), 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(1,8,2,7)(3,5,4,6)(17,23)(18,24)(19,21)(20,22), (1,9,17,2,10,18)(3,11,20,4,12,19)(5,16,22)(6,15,21)(7,13,24)(8,14,23), "t24n8093"], [(21,22)(23,24),(1,5)(2,6)(3,7)(4,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20), (1,8,2,7)(3,6,4,5)(11,12)(13,14)(17,24,18,23)(19,22,20,21), (1,9,17,2,10,18)(3,11,20,4,12,19)(5,16,22)(6,15,21)(7,13,24)(8,14,23), "t24n8094"], [(21,22)(23,24),(1,5)(2,6)(3,7)(4,8)(9,10)(13,14)(17,18)(19,20), (1,8,2,7)(3,6,4,5)(11,12)(13,14)(17,24,18,23)(19,22,20,21), (1,9,17,2,10,18)(3,11,20,4,12,19)(5,16,22)(6,15,21)(7,13,24)(8,14,23), "t24n8095"], [(21,22)(23,24),(1,6)(2,5)(3,8)(4,7)(19,20)(21,22),(1,8,2,7)(3,6,4,5) (11,12)(13,14)(17,24,18,23)(19,22,20,21),(1,9,17,2,10,18)(3,11,20,4,12,19) (5,16,22)(6,15,21)(7,13,24)(8,14,23),"t24n8096"], [(21,22)(23,24),(1,5)(2,6)(3,7)(4,8)(9,10)(13,14)(19,20)(23,24), (1,8,2,7)(3,6,4,5)(11,12)(13,14)(17,24,18,23)(19,22,20,21), (1,9,17,2,10,18)(3,11,20,4,12,19)(5,16,22)(6,15,21)(7,13,24)(8,14,23), "t24n8097"],[(21,22)(23,24),(1,4,2,3)(5,8,6,7)(9,10)(11,12)(13,14)(15,16), (1,8,2,7)(3,5,4,6)(17,23)(18,24)(19,21)(20,22), (1,9,19)(2,10,20)(3,11,17)(4,12,18)(5,16,23)(6,15,24)(7,13,22)(8,14,21), "t24n8098"],[(21,22)(23,24),(1,4,2,3)(5,8,6,7)(11,12)(13,14)(21,22)(23,24), (1,8,2,7)(3,5,4,6)(17,23)(18,24)(19,21)(20,22), (1,9,19)(2,10,20)(3,11,17)(4,12,18)(5,16,23)(6,15,24)(7,13,22)(8,14,21), "t24n8099"],[(21,22)(23,24),(1,3,2,4)(5,8,6,7)(9,10)(13,14)(17,18)(23,24), (1,8,2,7)(3,5,4,6)(17,23)(18,24)(19,21)(20,22), (1,9,19)(2,10,20)(3,11,17)(4,12,18)(5,16,23)(6,15,24)(7,13,22)(8,14,21), "t24n8100"]]; TRANSPROPERTIES[24]{[7801..8100]}:= [ [5832,0,1,1, "0010010040408450s0C01s2601s051020" ,[-3036,24,36,72],[1024,6072],[8,6072,6216]], [5832,0,1,1, "0010010040408450s0C01s2601s051020s6301s0520" ,[-3036,24,36,72],[1024,6072],[8,6072,6216]], [5832,0,1,1, "0010010040408450s0C01s2601s051020s6920" ,[-3036,24,36,72],[1024,6072],[8,6072,6216]], [5832,0,1,1, "0010010040408450s0C01s1504s1001s051020s6920" 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[5832,0,1,1, "001001s02408450s0C01s1504s1001s051020s428As2620" ,[-108,-36,24,108],[72,1024,1216],[8,72,1648,2216]], [5832,0,1,1, "0010s0240408450s0C01s2601s051020s428As2620s141020" ,[24,36,216],[72,1024,1216],[8,72,1648,2216]], [5832,0,1,1, "0010s0240408450s0C01s2601s051020s420As2620s1520" ,[24,36,216],[72,1024,1216],[8,72,1648,2216]], [6072,1,2,1, "0010s0510s0C01s2D20s5F08s0920s1708" ,[276],[552],[2024]], [6144,0,1,-1, "5550s0510s0680s040401s2810s0420s2F04s3920s1704" ,[-24,-12,4048],[-24,10048],[-10024,32,17096]], [6144,0,1,1, "5550s0510s0680s040401s2810s0420s6920" ,[-24,-12,4048],[24,10048],[32,10024,17096]], [6144,0,1,1, "5550s0510s0680s040401s2810s0420s6920" ,[12,2024,3048],[24,10048],[32,10024,17096]], [6144,0,1,-1, "5550s0510s0680s0208000401s2810s0420s6601s0220" ,[12,2024,3048],[-24,10048],[-10024,32,17096]], [6144,0,1,1, "5550s0510s0680s040401s2810s0420s6920" ,[12,1048,6024],[24,10048],[32,10024,17096]], [6144,0,1,-1, "5550s051002s0580s0208000405s2810s0420s6601" 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"5550s0510s0680s040401s2D20s6920" ,[12,2024,3048],[24,10048],[32,10024,17096],[3322,[[16,128,1048,3064]]]], [6144,0,1,1, "5550s0510s0680s040401s2D20s6920" ,[12,2024,3048],[24,10048],[32,10024,17096],[3322,[[16,1048,2128]]]], [6144,0,1,1, "5550s0510s0680s0404s2E20" ,[12,2024,3048],[24,10048],[32,10024,17096]], [6144,0,1,1, "5550s0510s0680s040401s2D20s6920" ,[12,1048,6024],[24,10048],[32,10024,17096],[3322,[[16,128,1048,3064]]]], [6144,0,1,1, "5550s0510s0680s040401s2D20s6920" ,[12,1048,6024],[24,10048],[32,10024,17096],[3322,[[16,1048,1064,1128]]]], [6144,0,1,1, "5550s0510s0680s040401s2D20s6920" ,[12,1048,6024],[24,10048],[32,10024,17096],[3322,[[16,1048,2128]]]], [6144,0,1,1, "5550s0510s0680s040401s2D20" ,[12,1048,6024],[24,10048],[32,10024,17096],[3322,[[16,128,1048,3064]]]], [6144,0,1,1, "5550s0510s0680s0404s2E20" ,[12,1048,6024],[24,10048],[32,10024,17096]], [6144,0,1,1, "5550s0510s0680s040401s2D20" ,[12,1048,6024],[24,10048],[32,10024,17096],[3322,[[16,1048,1064,1128]]]], 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