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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 trans24ag.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]{[9601..9900]}:= [[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16), (1,10,18)(2,9,17)(3,14,21,6,16,24)(4,13,22,5,15,23)(7,11,19)(8,12,20), (1,22)(2,21)(3,19,6,17)(4,20,5,18)(7,24)(8,23)(9,10)(11,12)(13,16)(14,15), "t24n9601"], [(1,12,17)(2,11,18)(3,16,24,6,14,21)(4,15,23,5,13,22)(7,9,20)(8,10,19), (1,21,7,23)(2,22,8,24)(3,20,4,19)(5,17,6,18)(9,11)(10,12),"t24n9602"], [(1,8)(2,7)(3,6)(4,5)(13,15)(14,16)(17,19)(18,20), (1,14,21,8,16,24)(2,13,22,7,15,23)(3,12,18)(4,11,17)(5,9,19)(6,10,20), (1,19,7,18)(2,20,8,17)(3,24,5,22)(4,23,6,21)(9,11)(10,12)(13,16)(14,15), "t24n9603"], [(1,9,20)(2,10,19)(3,13,22,6,15,23)(4,14,21,5,16,24)(7,12,17)(8,11,18), (1,23,2,24)(3,18,5,19)(4,17,6,20)(7,21,8,22)(9,12)(10,11),"t24n9604"], [(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16), (1,11,20,2,12,19)(3,13,21,5,16,23)(4,14,22,6,15,24)(7,10,17,8,9,18), (1,24)(2,23)(3,20,6,18)(4,19,5,17)(7,22)(8,21)(13,15)(14,16),"t24n9605"], [(1,9,17,2,10,18)(3,13,24,5,16,22)(4,14,23,6,15,21)(7,12,20,8,11,19), (1,21,2,22)(3,20,5,17)(4,19,6,18)(7,23,8,24)(9,12)(10,11)(13,14)(15,16), "t24n9606"], [(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,9,18,2,10,17) (3,13,21,5,16,23)(4,14,22,6,15,24)(7,12,19,8,11,20), (1,22,2,21)(3,19,5,18)(4,20,6,17)(7,24,8,23)(13,15)(14,16),"t24n9607"], [(1,11,17,2,12,18)(3,15,24,5,14,22)(4,16,23,6,13,21)(7,10,20,8,9,19), (1,21,8,24)(2,22,7,23)(3,20)(4,19)(5,17)(6,18)(9,12)(10,11)(13,14)(15,16), "t24n9608"], [(1,8)(2,7)(3,6)(4,5)(13,15)(14,16)(17,19)(18,20),(1,13,21,7,16,23) (2,14,22,8,15,24)(3,11,18,4,12,17)(5,10,19,6,9,20), (1,19,7,18)(2,20,8,17)(3,24,5,22)(4,23,6,21)(9,11)(10,12)(13,16)(14,15), "t24n9609"], [(1,9,20,2,10,19)(3,13,22,5,16,24)(4,14,21,6,15,23)(7,12,17,8,11,18), (1,23,2,24)(3,18,5,19)(4,17,6,20)(7,21,8,22)(9,12)(10,11),"t24n9610"], [(3,5)(4,6)(7,8)(9,11)(10,12)(15,17)(16,18)(19,20)(21,23)(22,24), (1,14)(2,13)(3,21)(4,22)(5,23)(6,24)(7,8)(9,16)(10,15)(11,18)(12,17)(19,20), (1,22,24,19,15,5,13,10,12,8,4,18)(2,21,23,20,16,6,14,9,11,7,3,17),"t24n9611"], [(3,5)(4,6)(7,8)(9,11)(10,12)(15,17)(16,18)(19,20)(21,23)(22,24), (1,8)(2,7)(3,22)(4,21)(5,17)(6,18)(9,15)(10,16)(11,12)(13,19)(14,20)(23,24), (1,16,12,20,22,6,13,3,24,7,10,17)(2,15,11,19,21,5,14,4,23,8,9,18),"t24n9612"], [(3,5)(4,6)(9,12)(10,11)(15,17)(16,18)(21,24)(22,23), (1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24), (1,2)(3,15)(4,16)(7,8)(9,22)(10,21)(11,23)(12,24)(13,14)(19,20), (1,21,12,7,4,17,13,9,24,20,15,6)(2,22,11,8,3,18,14,10,23,19,16,5),"t24n9613"], [(3,5)(4,6)(9,12)(10,11)(15,17)(16,18)(21,24)(22,23), (3,22)(4,21)(5,23)(6,24)(7,20)(8,19)(9,15)(10,16)(11,18)(12,17), (1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24), (1,4,12,20,9,6,13,15,24,7,21,17)(2,3,11,19,10,5,14,16,23,8,22,18),"t24n9614"], [(19,20)(21,22)(23,24),(7,11,10,8,12,9)(13,16,17,14,15,18), (1,3)(2,4)(5,6)(9,11)(10,12)(13,15)(14,16)(19,24)(20,23), (1,13)(2,14)(3,16)(4,15)(5,17)(6,18)(7,21)(8,22)(9,23)(10,24)(11,20)(12,19), (1,13,10,23,2,14,9,24)(3,16,11,19,4,15,12,20)(5,17,7,22,6,18,8,21),"t24n9615"] ,[(1,9,14,19,6,7,16,21)(2,10,13,20,5,8,15,22)(3,11,17,23)(4,12,18,24), (1,17,21,10,5,16,23,12)(2,18,22,9,6,15,24,11)(3,14,20,7,4,13,19,8),"t24n9616"] ,[(1,8)(2,7)(3,5)(4,6)(9,16,11,10,15,12)(13,14)(19,23,22)(20,24,21), (1,15,19,5,9,23,7,14,17)(2,16,20,6,10,24,8,13,18)(3,12,21)(4,11,22),"t24n9617" ],[(1,9,17,3,12,21)(2,10,18,4,11,22)(5,14,20,7,15,24)(6,13,19,8,16,23), (1,18,13,7,22,16)(2,17,14,8,21,15)(3,19,10,5,23,11)(4,20,9,6,24,12),"t24n9618" ],[(1,14,19,8)(2,13,20,7)(3,11,21,17,16,24)(4,12,22,18,15,23)(5,9)(6,10), (1,16,23,7,4,11)(2,15,24,8,3,12)(5,20,9,17,14,21)(6,19,10,18,13,22),"t24n9619" ],[(1,8,13,2,7,14)(3,17,15,6,21,23)(4,18,16,5,22,24)(9,12)(10,11)(19,20), (1,14)(2,13)(3,22,10,4,21,9)(5,17,24,6,18,23)(7,19)(8,20)(11,12)(15,16), (1,17,15,14,24,22)(2,18,16,13,23,21)(3,19,5,9,7,11)(4,20,6,10,8,12),"t24n9620" ],[(1,12,10,19,24,16)(2,11,9,20,23,15)(3,14,18,4,13,17)(5,21,8,6,22,7), (1,13,7,2,14,8)(3,10)(4,9)(5,6)(11,23,17,12,24,18)(15,22)(16,21)(19,20), "t24n9621"], [(1,2)(3,6,16,24)(4,5,15,23)(7,19)(8,20)(9,17,21,11)(10,18,22,12)(13,14), (1,12,15,2,11,16)(3,19,5,22,7,24,9,14,18,4,20,6,21,8,23,10,13,17),"t24n9622"], [(1,3,18,13,9,6,7,21,24,19,15,12)(2,4,17,14,10,5,8,22,23,20,16,11), (1,10,13,22,19,16)(2,9,14,21,20,15)(3,8)(4,7)(5,12)(6,11)(17,18)(23,24), "t24n9623"], [(1,8)(2,7)(3,4)(5,6)(9,16)(10,15)(11,12)(13,14)(17,24)(18,23)(19,20)(21,22), (1,16,5,7,10,17)(2,15,6,8,9,18)(3,24,20,21,12,14)(4,23,19,22,11,13), (1,17,19,11,13,5)(2,18,20,12,14,6)(3,15,9)(4,16,10)(7,23)(8,24),"t24n9624"], [(3,6,21,12,9,18)(4,5,22,11,10,17)(7,19)(8,20)(15,24)(16,23), (1,6,19,18,13,12)(2,5,20,17,14,11)(3,10,21,4,9,22)(7,24)(8,23)(15,16), "t24n9625"],[(1,4,10)(2,6,11,3,5,12)(8,9)(13,19,22)(14,20,23)(15,21,24), (1,18,12,22,8,20)(2,17,10,24,9,19)(3,16,11,23,7,21)(4,15,6,13,5,14), (1,24,4,18)(2,22,6,17)(3,23,5,16)(7,15,10,21)(8,13,12,20)(9,14,11,19), "t24n9626"],[(1,5)(2,4)(3,6)(7,8)(10,11)(13,20,16,14,19,17)(15,21,18)(22,23), (1,11,6,16,23,15,7,20,3,10,5,18,22,14,9,19,2,12,4,17,24,13,8,21), (1,20)(2,19)(3,21)(4,14,22,17)(5,13,23,16)(6,15,24,18)(7,11)(8,10)(9,12), "t24n9627"],[(1,12)(2,9)(3,10)(4,11)(5,7)(13,20)(14,18)(15,19)(16,17)(21,24), (1,15,6,19,10,23)(2,14,7,17,12,24)(3,13,5,20,11,22)(4,16,8,18,9,21), (1,20,12,21,7,14,3,18,11,23,6,16)(2,19,9,22,5,13,4,17,10,24,8,15),"t24n9628"], [(5,22,6,24)(7,23,8,21)(9,20,10,17)(11,19,12,18)(13,15)(14,16), (1,16,12,6,20,23,4,13,11,5,19,22)(2,14,10,7,18,21,3,15,9,8,17,24),"t24n9629"], [(1,6,18,13)(2,7,20,15)(3,5,19,16)(4,8,17,14)(9,24,10,21)(11,23,12,22), (1,11,2,9)(3,10,4,12)(5,22,8,24)(6,23,7,21)(13,16)(14,15),"t24n9630"], [(1,18,16,7)(2,17,15,8)(3,20,5,24)(4,19,6,23)(9,13,10,14)(11,21,12,22), (1,19,16)(2,20,15)(3,12,17)(4,11,18)(5,9,7)(6,10,8)(13,22,24)(14,21,23), "t24n9631"], [(1,11,14,21,18)(2,12,13,22,17)(3,9,16,24,20)(4,10,15,23,19)(5,6)(7,8), (1,13,9,2,14,10)(3,16,12)(4,15,11)(5,21,17,6,22,18)(7,23,19)(8,24,20), "t24n9632"], [(1,15,17,2,16,18)(3,13,19,4,14,20)(5,23,9)(6,24,10)(7,21,12)(8,22,11), (1,22,15,6,10)(2,21,16,5,9)(3,24,13,8,12,4,23,14,7,11)(19,20),"t24n9633"], [(1,19,9,24,7)(2,20,10,23,8)(3,17,11,22,5)(4,18,12,21,6)(13,14)(15,16), (1,21)(2,22)(3,24)(4,23)(5,9)(6,10)(7,12)(8,11)(13,20,14,19)(15,18,16,17), "t24n9634"],[(1,2)(3,4)(9,17)(10,18)(11,20)(12,19)(13,22)(14,21)(15,24)(16,23), (1,14,8,18,12,3,15,6,20,10,2,13,7,17,11,4,16,5,19,9)(21,24,22,23),"t24n9635"], [(1,6,23,4,7,21)(2,5,24,3,8,22)(9,20,14,11,18,15)(10,19,13,12,17,16), (1,21,7,9,20,4,24,6,11,18)(2,22,8,10,19,3,23,5,12,17)(13,16)(14,15),"t24n9636" ],[(1,6,19,4,7,17,2,5,20,3,8,18)(9,23,13,11,21,15,10,24,14,12,22,16), (1,19,8,23,15,2,20,7,24,16)(3,17,5,21,14,4,18,6,22,13),"t24n9637"], [(1,5,18,24,16,4,7,20,21,14,2,6,17,23,15,3,8,19,22,13)(9,11,10,12), (1,6,24,15,9)(2,5,23,16,10)(3,8,21,14,12)(4,7,22,13,11)(17,18)(19,20), "t24n9638"], [(1,5,18,2,6,17)(3,7,19,4,8,20)(9,13,24)(10,14,23)(11,16,21)(12,15,22), (1,14,21,20,7,4,15,24,18,5)(2,13,22,19,8,3,16,23,17,6)(9,12)(10,11),"t24n9639" ],[(1,4,2,3)(5,24,17,15,10,8,22,19,14,11,6,23,18,16,9,7,21,20,13,12), (1,18,16,7,21)(2,17,15,8,22)(3,19,14,6,23)(4,20,13,5,24)(9,10)(11,12), "t24n9640"], [(1,13,19,5,24,11,2,14,20,6,23,12)(3,16,18,7,22,9,4,15,17,8,21,10), (1,17,9,13,2,18,10,14)(3,20,12,15,4,19,11,16)(5,8)(6,7)(21,24)(22,23), "t24n9641"], [(1,4)(2,3)(5,19,21,16)(6,20,22,15)(7,17,24,13)(8,18,23,14)(9,12)(10,11), (1,10,16)(2,9,15)(3,12,14,4,11,13)(5,21,18,6,22,17)(7,23,20)(8,24,19), "t24n9642"], [(1,6,22,13,2,5,21,14)(3,7,23,16,4,8,24,15)(9,12,10,11)(17,19,18,20), (1,6,2,5)(3,8,4,7)(9,24,10,23)(11,21,12,22)(13,20)(14,19)(15,18)(16,17), "t24n9643"], [(1,11,7,23,16,17,2,12,8,24,15,18)(3,10,5,21,14,20,4,9,6,22,13,19), (1,23,10,5,2,24,9,6)(3,22,12,7,4,21,11,8)(13,15)(14,16)(17,19)(18,20), "t24n9644"], [(1,13,9,23,20,6)(2,14,10,24,19,5)(3,16,12,22,17,7,4,15,11,21,18,8), (1,15,10,2,16,9)(3,13,12)(4,14,11)(5,18,23,6,17,24)(7,20,22)(8,19,21), "t24n9645"],[(1,11,20,7,15,2,12,19,8,16)(3,10,17,5,14)(4,9,18,6,13)(21,22), (1,18,12,6,24,3,19,10,7,22)(2,17,11,5,23,4,20,9,8,21)(13,16)(14,15),"t24n9646" ],[(1,14,19,4,16,17)(2,13,20,3,15,18)(5,24,9,8,22,11)(6,23,10,7,21,12), (1,21,12,18,16,3,24,10,20,13,2,22,11,17,15,4,23,9,19,14)(5,7,6,8),"t24n9647"], [(3,4)(5,22,18,10,13)(6,21,17,9,14)(7,24,20,12,15,8,23,19,11,16), (1,14,2,13)(3,15,4,16)(5,7)(6,8)(9,11)(10,12)(17,24)(18,23)(19,22)(20,21), "t24n9648"], [(1,3)(2,4)(5,21,6,22)(7,23,8,24)(9,11)(10,12)(13,19,14,20)(15,17,16,18), (1,11,21,20,7,2,12,22,19,8)(3,10,24,18,6)(4,9,23,17,5)(15,16),"t24n9649"], [(1,11,15,22,20)(2,12,16,21,19)(3,10,14,24,17,4,9,13,23,18)(5,6), (1,24)(2,23)(3,21)(4,22)(5,20,6,19)(7,18,8,17)(9,11)(10,12)(13,16)(14,15), "t24n9650"], [(1,17,2,18)(3,19,4,20)(5,15)(6,16)(7,14)(8,13)(9,11)(10,12)(21,23)(22,24), (1,22,15,7,11,2,21,16,8,12)(3,23,14,5,10)(4,24,13,6,9)(19,20),"t24n9651"], [(1,12,22,4,10,23,2,11,21,3,9,24)(5,14,20,7,16,18,6,13,19,8,15,17), (1,22,20,12,6)(2,21,19,11,5)(3,23,17,9,7,4,24,18,10,8)(15,16),"t24n9652"], [(1,9,22,7,20,3,11,24,6,17)(2,10,21,8,19,4,12,23,5,18)(13,16)(14,15), (1,21,13)(2,22,14)(3,24,15,4,23,16)(5,9,19,6,10,20)(7,11,17)(8,12,18), "t24n9653"],[(1,10,8,19,14)(2,9,7,20,13)(3,11,5,17,16,4,12,6,18,15)(23,24), (1,20,15,6,21,3,18,14,7,24)(2,19,16,5,22,4,17,13,8,23)(9,12)(10,11),"t24n9654" ],[(1,9,16,23,5,2,10,15,24,6)(3,12,13,22,7)(4,11,14,21,8)(17,18), (1,20,10,3,17,12,2,19,9,4,18,11)(5,14,21,7,16,24,6,13,22,8,15,23),"t24n9655"], [(1,6,20,9,16,21)(2,5,19,10,15,22)(3,7,17,11,14,24)(4,8,18,12,13,23), (1,14,19,10,24,4,16,17,11,21,2,13,20,9,23,3,15,18,12,22)(5,8,6,7),"t24n9656"], [(1,6,12,17,23,13)(2,5,11,18,24,14)(3,8,9,20,21,15)(4,7,10,19,22,16), (1,8,20,16,2,7,19,15)(3,5,17,13,4,6,18,14)(11,12)(23,24),"t24n9657"], [(1,5,23,18)(2,6,24,17)(3,8,21,20)(4,7,22,19)(9,11,10,12)(13,15,14,16), (1,16,12,7,20,24,2,15,11,8,19,23)(3,13,9,6,17,21,4,14,10,5,18,22),"t24n9658"], [(1,4,2,3)(5,11,18,16)(6,12,17,15)(7,9,19,13)(8,10,20,14)(21,23,22,24), (1,8,12,19,24,15,2,7,11,20,23,16)(3,6,9,18,22,13,4,5,10,17,21,14),"t24n9659"], [(1,2)(5,22,9,18)(6,21,10,17)(7,23,12,20)(8,24,11,19)(15,16), (1,14,11,4,16,9,2,13,12,3,15,10)(5,23,18,8,21,20,6,24,17,7,22,19),"t24n9660"], [(1,3,2,4)(5,11,14,24)(6,12,13,23)(7,9,16,21)(8,10,15,22)(17,19,18,20), (1,22,12,17,16,3,24,9,20,14)(2,21,11,18,15,4,23,10,19,13)(5,7)(6,8),"t24n9661" ],[(1,4,2,3)(5,11,22,16,17,7,9,24,13,20,6,12,21,15,18,8,10,23,14,19), (1,13,7,10,23,17,2,14,8,9,24,18)(3,16,5,12,21,19,4,15,6,11,22,20),"t24n9662"], [(1,3,2,4)(5,12,22,15,18,8,9,23,13,20,6,11,21,16,17,7,10,24,14,19), (1,21,16,18,2,22,15,17)(3,23,14,19,4,24,13,20)(5,7)(6,8)(9,12)(10,11), "t24n9663"], [(1,9,8,22,19,14,2,10,7,21,20,13)(3,11,6,23,18,15,4,12,5,24,17,16), (1,10,24,18,8,4,12,21,20,5)(2,9,23,17,7,3,11,22,19,6)(13,15)(14,16),"t24n9664" ],[(1,13,11,6,19,21)(2,14,12,5,20,22)(3,16,10,7,18,24)(4,15,9,8,17,23), (1,18,7,21,15,4,19,6,23,14,2,17,8,22,16,3,20,5,24,13)(9,12,10,11),"t24n9665"], [(1,4,2,3)(5,19,14,23,10,7,17,16,22,11,6,20,13,24,9,8,18,15,21,12), (1,23)(2,24)(3,22)(4,21)(5,10,6,9)(7,12,8,11)(13,18,14,17)(15,20,16,19), "t24n9666"], [(1,8,16,23,11,20)(2,7,15,24,12,19)(3,5,14,22,10,18)(4,6,13,21,9,17), (1,13,23,18,11,6)(2,14,24,17,12,5)(3,16,21,20,10,7)(4,15,22,19,9,8),"t24n9667" ],[(3,4)(5,20,21,12)(6,19,22,11)(7,17,23,9)(8,18,24,10)(13,16)(14,15), (1,21,18,5,15,10,4,24,19,8,14,12,2,22,17,6,16,9,3,23,20,7,13,11),"t24n9668"], 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[(21,22)(23,24),(3,4)(7,8)(11,12)(15,16)(19,20)(23,24), (3,4)(5,12)(6,11)(7,9)(8,10)(13,14)(17,21,18,22)(19,23,20,24), (1,5,11,2,6,12)(3,7,9,4,8,10)(17,18)(19,20), (1,14,4,15)(2,13,3,16)(5,20,8,18)(6,19,7,17)(9,22,11,24)(10,21,12,23), "t24n9773"], [(1,2)(3,4)(5,12)(6,11)(7,10)(8,9)(13,20,14,19)(15,17,16,18)(21,22)(23,24), (1,13,10,18,6,23,3,16,11,19,8,22,2,14,9,17,5,24,4,15,12,20,7,21), (1,20,8,15,12,23,3,17,5,14,10,21,2,19,7,16,11,24,4,18,6,13,9,22),"t24n9774"], [(1,10,7,4,11,6,2,9,8,3,12,5)(13,19,22,16,17,23)(14,20,21,15,18,24), (1,23)(2,24)(3,21,4,22)(5,18,9,13)(6,17,10,14)(7,19,11,16)(8,20,12,15), "t24n9775"], [(1,4,2,3)(5,8,6,7)(9,12,10,11)(13,19,22,16,18,23,14,20,21,15,17,24), (1,18)(2,17)(3,19,4,20)(5,23,9,16,6,24,10,15)(7,21,11,13,8,22,12,14), (1,20,7,24)(2,19,8,23)(3,17,6,21)(4,18,5,22)(9,14,10,13)(11,15)(12,16), "t24n9776"], [(21,22)(23,24),(1,2)(5,10,6,9)(7,12,8,11)(13,14)(17,22)(18,21)(19,24)(20,23), (1,3)(2,4)(5,7)(6,8)(9,12)(10,11)(13,15)(14,16)(17,20)(18,19)(21,23)(22,24), (1,7,11,2,8,12)(3,5,10,4,6,9)(17,18)(19,20)(21,22)(23,24), (1,16)(2,15)(3,14)(4,13)(5,17,9,21,6,18,10,22)(7,20,12,23,8,19,11,24), "t24n9777"], [(1,10,7,4,11,6,2,9,8,3,12,5)(13,15)(14,16)(17,20)(18,19)(21,23)(22,24), (1,19,9,14)(2,20,10,13)(3,17,12,16)(4,18,11,15)(5,21,8,24)(6,22,7,23), "t24n9778"],[(1,2)(5,9)(6,10)(7,11)(8,12)(15,16)(17,22)(18,21)(19,23)(20,24), (1,15,3,14,2,16,4,13)(5,22,12,19,6,21,11,20)(7,23,10,17,8,24,9,18), (1,17,6,24,2,18,5,23)(3,20,7,22,4,19,8,21)(9,15,11,13,10,16,12,14),"t24n9779"] ,[(1,12,8)(2,11,7)(3,10,6,4,9,5)(13,14)(17,18)(21,22), (1,19,10,22)(2,20,9,21)(3,17,11,24)(4,18,12,23)(5,13,7,15)(6,14,8,16), (1,19,5,22,2,20,6,21)(3,18,7,23,4,17,8,24)(9,14,11,16)(10,13,12,15),"t24n9780" ], [(1,2)(3,4)(13,16,14,15)(17,20,18,19)(21,24,22,23),(1,19,5,24,11,14)(2,20,6,23,12, 13)(3,18,8,21,9,16,4,17,7,22,10,15),(1,23,5,13,12,20)(2,24,6,14,11,19) (3,21,8,16,10,17,4,22,7,15,9,18),"t24n9781"], [(1,10,6,4,11,7)(2,9,5,3,12,8)(13,18,23,15,19,21)(14,17,24,16,20,22), (1,15,12,21,6,18)(2,16,11,22,5,17)(3,14,10,24,8,20)(4,13,9,23,7,19), (1,24,4,21,2,23,3,22)(5,13,8,16,6,14,7,15)(9,18,11,19,10,17,12,20),"t24n9782"] ,[(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,17,24,15,19,22,14,18,23,16,20,21), (1,16,2,15)(3,13,4,14)(5,18,6,17)(7,20,8,19)(9,23)(10,24)(11,22)(12,21), (1,19,10,15,6,23,3,18,12,13,8,21)(2,20,9,16,5,24,4,17,11,14,7,22),"t24n9783"], [(1,5,12,2,6,11)(3,8,10)(4,7,9)(13,15,14,16)(17,19,18,20)(21,24,22,23), (1,17,6,22,12,16,2,18,5,21,11,15)(3,19,7,24,10,13)(4,20,8,23,9,14),"t24n9784"] , [(21,22)(23,24),(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,16,14,15)(17,20,18,19)(21,23,22, 24),(1,5,12,2,6,11)(3,7,9,4,8,10),(1,12)(2,11)(3,9)(4,10)(5,6) (7,8)(13,14)(15,16),(1,15)(2,16)(3,13)(4,14)(5,18)(6,17)(7,19)(8,20)(9,24) (10,23)(11,21)(12,22),"t24n9785"], [(1,6,12,2,5,11)(3,8,10)(4,7,9)(13,14)(15,16)(17,22,18,21)(19,23,20,24), (1,20,2,19)(3,17)(4,18)(5,13,12,24,6,14,11,23)(7,15,10,22,8,16,9,21), (1,22,11,16)(2,21,12,15)(3,23,10,13)(4,24,9,14)(5,18,6,17)(7,19)(8,20), "t24n9786"], [(1,9,6,4,12,7,2,10,5,3,11,8)(13,18)(14,17)(15,19)(16,20)(21,24)(22,23), (1,10,2,9)(3,11,4,12)(5,7)(6,8)(13,21)(14,22)(15,23)(16,24)(17,19)(18,20), (1,23)(2,24)(3,22)(4,21)(5,14,6,13)(7,15,8,16)(9,17,10,18)(11,20,12,19), "t24n9787"], [(21,22)(23,24),(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,16,14,15)(17,20,18,19) (21,23,22,24),(1,6,11)(2,5,12)(3,7,9)(4,8,10)(17,18)(19,20)(21,22)(23,24), (1,11)(2,12)(3,10)(4,9)(5,6)(13,14)(19,20)(21,22), (1,15)(2,16)(3,13)(4,14)(5,18)(6,17)(7,19)(8,20)(9,24)(10,23)(11,21)(12,22), "t24n9788"], [(1,4,2,3)(5,7,6,8)(9,12,10,11)(13,22)(14,21)(15,23)(16,24)(17,19)(18,20), (1,5,11)(2,6,12)(3,7,9,4,8,10)(13,24)(14,23)(15,21)(16,22)(17,18)(19,20), (1,16)(2,15)(3,14,4,13)(5,22,12,18,6,21,11,17)(7,24,10,20,8,23,9,19), "t24n9789"], [(1,16,2,15)(3,13)(4,14)(5,21,12,17,6,22,11,18)(7,24,10,20,8,23,9,19), (1,16)(2,15)(3,13)(4,14)(5,21)(6,22)(7,24)(8,23)(9,19,10,20)(11,18,12,17), (1,24,2,23)(3,21)(4,22)(5,19,11,14)(6,20,12,13)(7,17,9,16)(8,18,10,15), "t24n9790"], [(21,22)(23,24),(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,16)(14,15)(17,20)(18,19) (21,24)(22,23),(1,6,11)(2,5,12)(3,7,9)(4,8,10)(17,18)(19,20)(21,22)(23,24), (1,11)(2,12)(3,10)(4,9)(5,6)(13,14)(19,20)(21,22), (1,15)(2,16)(3,13)(4,14)(5,18)(6,17)(7,19)(8,20)(9,24)(10,23)(11,21)(12,22), "t24n9791"], [(21,22)(23,24),(1,2)(5,6)(11,12)(13,16)(14,15)(17,23)(18,24)(19,21)(20,22), (1,12,2,11)(3,10,4,9)(13,22)(14,21)(15,23)(16,24)(17,18)(19,20), (1,15,8,20,11,24)(2,16,7,19,12,23)(3,14,5,18,9,22)(4,13,6,17,10,21),"t24n9792" ],[(1,7)(2,8)(3,5)(4,6)(9,10)(11,12)(13,23,17,15,22,19,14,24,18,16,21,20), (1,15)(2,16)(3,13)(4,14)(5,21)(6,22)(7,23)(8,24)(9,17,10,18)(11,20,12,19), (1,19,7,23,11,15,2,20,8,24,12,16)(3,18,5,22,10,14,4,17,6,21,9,13),"t24n9793"], [(1,17,4,19)(2,18,3,20)(5,23,12,14,6,24,11,13)(7,21,9,15,8,22,10,16), (1,23,5,13,2,24,6,14)(3,22,8,15,4,21,7,16)(9,17,11,20)(10,18,12,19), 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"t24n9798"],[(5,6)(7,8)(9,10)(11,12)(13,23)(14,24)(15,21)(16,22)(17,18)(19,20), (1,8,12,3,6,9,2,7,11,4,5,10)(13,21,19,15,24,18,14,22,20,16,23,17), (1,16,3,14,2,15,4,13)(5,17,9,24,6,18,10,23)(7,19,12,22,8,20,11,21),"t24n9799"] ,[(1,17,9,14,6,21,4,20,11,16,7,23,2,18,10,13,5,22,3,19,12,15,8,24), (1,23,10,16)(2,24,9,15)(3,21,12,13)(4,22,11,14)(5,20,8,18)(6,19,7,17), "t24n9800"], [(1,11,5)(2,12,6)(3,10,8)(4,9,7)(13,24)(14,23)(15,21)(16,22)(17,18), (1,14,9,21)(2,13,10,22)(3,15,12,24)(4,16,11,23)(5,19,8,17)(6,20,7,18), "t24n9801"], [(1,4)(2,3)(5,8)(6,7)(9,11)(10,12)(13,22)(14,21)(15,23)(16,24)(17,20)(18,19), (1,5,12)(2,6,11)(3,8,10,4,7,9)(15,16)(17,22,18,21)(19,24,20,23), (1,19,4,18,2,20,3,17)(5,23,10,15,6,24,9,16)(7,22,11,14,8,21,12,13),"t24n9802"] ,[(1,5,2,6)(3,7,4,8)(13,19,23)(14,20,24)(15,17,22,16,18,21), (1,16,4,13,2,15,3,14)(5,17,10,23)(6,18,9,24)(7,20,11,21)(8,19,12,22), "t24n9803"], [(1,7)(2,8)(3,5)(4,6)(9,11,10,12)(13,22,19,15,24,17)(14,21,20,16,23,18), 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[(1,16,12,20)(2,15,11,19)(3,14,10,18)(4,13,9,17)(5,22,6,21)(7,24)(8,23), (1,20,10,14,7,24,3,17,12,15,5,22,2,19,9,13,8,23,4,18,11,16,6,21),"t24n9810"], [(3,4)(5,10,6,9)(7,12,8,11)(13,24,18,15,21,19)(14,23,17,16,22,20), (1,14)(2,13)(3,15,4,16)(5,19,9,24,6,20,10,23)(7,17,11,21,8,18,12,22), "t24n9811"], [(1,19,12,24,2,20,11,23)(3,18,10,21,4,17,9,22)(5,13)(6,14)(7,16)(8,15), (1,24,10,18,8,16,4,22,12,19,5,14,2,23,9,17,7,15,3,21,11,20,6,13),"t24n9812"], [(21,22)(23,24),(1,2)(5,6)(11,12)(13,16)(14,15)(17,20)(18,19)(21,24)(22,23), (1,6,12)(2,5,11)(3,7,9)(4,8,10)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24), (1,11)(2,12)(3,10)(4,9)(13,23,14,24)(15,21,16,22)(17,18)(19,20), (1,14,3,15,2,13,4,16)(5,20,7,17,6,19,8,18)(9,21,11,23,10,22,12,24),"t24n9813"] ,[(1,14,9,22,5,20,4,16,11,24,8,18,2,13,10,21,6,19,3,15,12,23,7,17), (1,18,4,20,2,17,3,19)(5,16,7,13,6,15,8,14)(9,24,11,22,10,23,12,21), (1,24,11,13,6,20)(2,23,12,14,5,19)(3,22,9,16,8,17)(4,21,10,15,7,18),"t24n9814" ],[(1,10,2,9)(3,11,4,12)(5,7,6,8)(13,24,14,23)(15,22,16,21)(17,18), (1,16,7,19,12,22,4,14,6,18,9,23)(2,15,8,20,11,21,3,13,5,17,10,24), (1,17,8,13,11,21,3,20,6,15,9,24)(2,18,7,14,12,22,4,19,5,16,10,23),"t24n9815"], [(3,4)(5,11,6,12)(7,10,8,9)(13,16,14,15)(17,23,18,24)(19,22,20,21), (1,18,5,22,11,15)(2,17,6,21,12,16)(3,20,8,24,10,13)(4,19,7,23,9,14), (1,22,4,24)(2,21,3,23)(5,16,8,13)(6,15,7,14)(9,19,11,17)(10,20,12,18), "t24n9816"], [(1,22,10,19,6,16,4,23,11,18,7,14)(2,21,9,20,5,15,3,24,12,17,8,13), (1,23,2,24)(3,21,4,22)(5,20)(6,19)(7,18)(8,17)(9,15,10,16)(11,14,12,13), (1,24,7,18,12,14,3,21,5,19,10,16)(2,23,8,17,11,13,4,22,6,20,9,15),"t24n9817"], [(5,12)(6,11)(7,10)(8,9)(13,21)(14,22)(15,24)(16,23)(17,20,18,19), (1,12,5)(2,11,6)(3,9,8)(4,10,7)(13,17,23,15,19,21,14,18,24,16,20,22), (1,20,9,21,5,14,3,18,11,23,8,15,2,19,10,22,6,13,4,17,12,24,7,16),"t24n9818"], [(1,2)(5,12)(6,11)(7,9)(8,10)(13,24,14,23)(15,22,16,21)(19,20), 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[(1,10,2,9)(3,12,4,11)(5,8)(6,7)(13,14)(17,22)(18,21)(19,24)(20,23), (1,21,4,23)(2,22,3,24)(5,19,11,14)(6,20,12,13)(7,18,10,16)(8,17,9,15), "t24n9825"], [(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,22,17,14,21,18)(15,24,20,16,23,19), (1,22,8,18)(2,21,7,17)(3,24,6,20)(4,23,5,19)(9,16)(10,15)(11,14,12,13), "t24n9826"], [(1,9,23,2,10,24)(3,15,20)(4,16,19)(5,11,18,6,12,17)(7,13,22,8,14,21), (1,14,19)(2,13,20)(3,15,17,4,16,18)(5,10,24,6,9,23)(7,11,21,8,12,22), "t24n9827"], [(1,9,2,10)(3,12,4,11)(5,16)(6,15)(7,13)(8,14)(17,19)(18,20)(21,22)(23,24), (1,9,2,10)(3,14,4,13)(5,11)(6,12)(7,16)(8,15)(17,24,18,23)(19,20), (1,24,10,7,22,14,2,23,9,8,21,13)(3,19,16,5,17,12,4,20,15,6,18,11),"t24n9828"], [(1,12,20,8,13,22,2,11,19,7,14,21)(3,10,18,5,15,24,4,9,17,6,16,23), (1,23,7,20,5,22)(2,24,8,19,6,21)(3,18)(4,17)(9,11,13)(10,12,14),"t24n9829"], [(1,4,8,5)(2,3,7,6)(9,13,16,11)(10,14,15,12)(17,22,24,19)(18,21,23,20), (1,16,24,2,15,23)(3,10,20,4,9,19)(5,13,17,6,14,18)(7,12,22,8,11,21),"t24n9830" ],[(1,5,7)(2,6,8)(9,12,13)(10,11,14)(19,23,22)(20,24,21), (1,9,17,8,13,24,3,11,20,5,16,21,2,10,18,7,14,23,4,12,19,6,15,22),"t24n9831"], [(1,8,2,7)(3,6,4,5)(9,17)(10,18)(11,20,12,19)(13,22)(14,21)(15,23,16,24), (1,10,4,13,5,15,2,9,3,14,6,16)(7,12,8,11)(17,20,24,18,19,23)(21,22),"t24n9832" ],[(1,6,4,7,2,5,3,8)(9,19,15,24,10,20,16,23)(11,17,13,21,12,18,14,22), (1,19,15)(2,20,16)(3,21,11,4,22,12)(5,18,10,6,17,9)(7,24,14)(8,23,13), (1,24,9,7,22,14,2,23,10,8,21,13)(3,20,16,5,18,11,4,19,15,6,17,12),"t24n9833"], [(1,16,5,12,2,15,6,11)(3,9,7,14,4,10,8,13)(17,23,21,19)(18,24,22,20), (1,20,13,2,19,14)(3,21,10,4,22,9)(5,17,11,6,18,12)(7,23,15,8,24,16), (1,21,6,17,2,22,5,18)(3,19,8,24,4,20,7,23)(9,15,13,11)(10,16,14,12),"t24n9834" ],[(1,6,8,3,2,5,7,4)(9,21,16,19,10,22,15,20)(11,18,14,23,12,17,13,24), (1,12,19,8,13,22,2,11,20,7,14,21)(3,10,17,5,15,24,4,9,18,6,16,23), (1,17,11,2,18,12)(3,21,13)(4,22,14)(5,24,10,6,23,9)(7,19,15)(8,20,16), "t24n9835"], [(17,18)(19,20)(21,22)(23,24),(5,11)(6,12)(7,10)(8,9)(13,14)(15,16)(17,18)(19,20), (1,4)(2,3)(5,7)(6,8)(9,11)(10,12)(13,16)(14,15)(17,20)(18,19)(21,23)(22,24), (1,5,12,2,6,11)(3,8,9)(4,7,10)(15,16)(17,18)(21,22), (1,15)(2,16)(3,13)(4,14)(5,17)(6,18)(7,19)(8,20)(9,23,10,24)(11,22,12,21), "t24n9836"], [(17,18)(19,20)(21,22)(23,24),(5,11)(6,12)(7,10)(8,9)(13,14)(15,16)(17,18)(19,20) (21,22)(23,24),(1,4)(2,3)(5,7)(6,8)(9,11)(10,12)(13,16)(14,15)(17,20)(18,19) (21,23)(22,24),(1,5,12,2,6,11)(3,8,9)(4,7,10)(15,16)(17,18)(21,22), (1,15)(2,16)(3,13)(4,14)(5,17)(6,18)(7,19)(8,20)(9,23,10,24)(11,22,12,21), "t24n9837"], [(17,18)(19,20)(21,22)(23,24),(5,11)(6,12)(7,10)(8,9)(13,14)(15,16)(17,18)(19,20), (1,4)(2,3)(5,7)(6,8)(9,11)(10,12)(13,16)(14,15)(17,20)(18,19)(21,23)(22,24), (1,5,12,2,6,11)(3,8,9)(4,7,10)(15,16)(17,18)(21,22), (1,15,2,16)(3,14,4,13)(5,17)(6,18)(7,20)(8,19)(9,23,10,24)(11,21,12,22), "t24n9838"], [(17,18)(19,20)(21,22)(23,24),(5,11)(6,12)(7,10)(8,9)(13,14)(15,16)(17,18)(19,20) (21,22)(23,24),(1,4)(2,3)(5,7)(6,8)(9,11)(10,12)(13,16)(14,15)(17,20)(18,19) (21,23)(22,24),(1,5,12,2,6,11)(3,8,9)(4,7,10)(15,16)(17,18)(21,22), (1,15,2,16)(3,14,4,13)(5,17)(6,18)(7,20)(8,19)(9,23,10,24)(11,21,12,22), "t24n9839"], [(1,3)(2,4)(5,8)(6,7)(9,12)(10,11)(13,24)(14,23)(15,22)(16,21)(17,18), (1,7)(2,8)(3,6)(4,5)(9,12)(10,11)(13,20)(14,19)(15,17)(16,18)(21,22), (1,23,5,20,2,24,6,19)(3,21,8,17,4,22,7,18)(9,15,10,16)(11,13,12,14),"t24n9840" ],[(1,7,2,8)(3,6,4,5)(9,11)(10,12)(13,19)(14,20)(15,18)(16,17)(21,22), (1,16,9,20,5,22,3,13,11,18,8,24,2,15,10,19,6,21,4,14,12,17,7,23), (1,17,4,19,2,18,3,20)(5,22,9,14)(6,21,10,13)(7,23,12,15)(8,24,11,16), "t24n9841"],[(1,5,2,6)(3,7,4,8)(9,10)(13,17,24,15,19,21)(14,18,23,16,20,22), (1,17,9,24,6,16,4,19,12,22,8,14,2,18,10,23,5,15,3,20,11,21,7,13), (1,21,8,19,2,22,7,20)(3,23,6,17,4,24,5,18)(9,14,11,16,10,13,12,15),"t24n9842"] , [(5,6)(7,8)(13,14)(15,16)(17,22,18,21)(19,23,20,24),(1,4)(2,3)(5,7)(6,8)(9,12) (10,11)(13,20,23)(14,19,24)(15,17,22,16,18,21), (1,13,9,17,2,14,10,18)(3,15,11,20,4,16,12,19)(5,24,8,21,6,23,7,22),"t24n9843"] ,[(1,3,2,4)(9,11,10,12)(13,24,19,14,23,20)(15,21,17,16,22,18), (1,19,10,14,8,24)(2,20,9,13,7,23)(3,18,12,15,6,22)(4,17,11,16,5,21),"t24n9844" ],[(1,5,9)(2,6,10)(3,8,11)(4,7,12)(13,23,18)(14,24,17)(15,22,19)(16,21,20), (1,17,12,13,5,22,2,18,11,14,6,21)(3,20,9,15,8,24,4,19,10,16,7,23),"t24n9845"], [(1,9,5)(2,10,6)(3,12,8,4,11,7)(13,14)(17,20,18,19)(21,23,22,24), (1,16,5,19,10,21)(2,15,6,20,9,22)(3,13,8,17,12,23)(4,14,7,18,11,24),"t24n9846" ],[(1,6,10)(2,5,9)(3,8,12,4,7,11)(13,22,20,14,21,19)(15,23,18)(16,24,17), (1,18,9,16,8,22)(2,17,10,15,7,21)(3,20,11,14,6,23)(4,19,12,13,5,24),"t24n9847" ],[(1,11,6,2,12,5)(3,9,7)(4,10,8)(13,14)(17,19,18,20)(21,24,22,23), (1,18,10,14,8,24,2,17,9,13,7,23)(3,19,12,15,5,21)(4,20,11,16,6,22),"t24n9848"] ,[(1,6,9)(2,5,10)(3,8,11,4,7,12)(13,15)(14,16)(17,19)(18,20)(23,24), (1,16,12,23,5,20,2,15,11,24,6,19)(3,14,10,22,8,17)(4,13,9,21,7,18),"t24n9849"] ,[(1,6,2,5)(3,7,4,8)(9,10)(13,24,15,22)(14,23,16,21)(17,19,18,20), (1,8,12)(2,7,11)(3,6,9)(4,5,10)(13,15)(14,16)(17,20)(18,19), (1,16,2,15)(3,14,4,13)(5,20)(6,19)(7,17)(8,18)(9,21,10,22)(11,23,12,24), "t24n9850"], [(1,16,11,21,5,20,3,13,9,24,7,18)(2,15,12,22,6,19,4,14,10,23,8,17), (1,21,11,20,7,13,4,24,10,18,5,16)(2,22,12,19,8,14,3,23,9,17,6,15),"t24n9851"], [(1,2)(5,12,7,9,6,11,8,10)(13,16)(14,15)(17,23)(18,24)(19,22)(20,21), (1,9,7)(2,10,8)(3,12,6)(4,11,5)(13,23,20)(14,24,19)(15,22,18)(16,21,17), (1,24,2,23)(3,22,4,21)(5,13)(6,14)(7,16)(8,15)(9,18,10,17)(11,19,12,20), "t24n9852"], [(1,12,4,9,2,11,3,10)(5,8)(6,7)(13,18,16,19,14,17,15,20)(21,24)(22,23), (1,24,11,17,2,23,12,18)(3,21,9,20,4,22,10,19)(5,13)(6,14)(7,16,8,15), "t24n9853"],[(1,4)(2,3)(5,11,8,9)(6,12,7,10)(13,23)(14,24)(15,22)(16,21), (1,9,5)(2,10,6)(3,12,7)(4,11,8),(1,13,2,14)(3,16,4,15)(5,23)(6,24)(7,21) (8,22)(9,20,10,19)(11,17,12,18),"t24n9854"], [(5,7)(6,8)(13,18,24,15,19,22)(14,17,23,16,20,21),(1,13,2,14)(3,15,4,16)(5,24) (6,23)(7,22)(8,21)(9,18,10,17)(11,20,12,19),"t24n9855"], [(1,9,5)(2,10,6)(3,11,8)(4,12,7)(13,18,22)(14,17,21)(15,19,23)(16,20,24), (1,21,11,20,7,13,4,24,10,17,5,15)(2,22,12,19,8,14,3,23,9,18,6,16),"t24n9856"], [(1,11,4,9,2,12,3,10)(7,8)(13,24,16,21,14,23,15,22)(19,20), (1,18,9,14)(2,17,10,13)(3,20,11,15)(4,19,12,16)(5,21,7,23)(6,22,8,24), "t24n9857"], [(1,5,12,3,7,9)(2,6,11,4,8,10)(13,16)(14,15)(17,20)(18,19)(21,24)(22,23), (1,13,5,24,9,18)(2,14,6,23,10,17)(3,15,8,22,11,19)(4,16,7,21,12,20),"t24n9858" ],[(1,15,12,17,8,23)(2,16,11,18,7,24)(3,13,9,20,6,21)(4,14,10,19,5,22), (1,20,11,16,8,21)(2,19,12,15,7,22)(3,18,10,14,6,24)(4,17,9,13,5,23),"t24n9859" ], [(13,21,17)(14,22,18)(15,23,19)(16,24,20),(1,14,9,23,2,13,10,24)(3,16,12,21,4,15,11,22 )(5,20,6,19)(7,18,8,17),"t24n9860"], [(1,3)(2,4)(5,10,6,9)(7,12,8,11)(13,22,14,21)(15,24,16,23)(17,19)(18,20), (1,24,7,16,10,17)(2,23,8,15,9,18)(3,22,6,14,11,19)(4,21,5,13,12,20),"t24n9861" ],[(1,13,12,19,5,22)(2,14,11,20,6,21)(3,16,9,17,8,23)(4,15,10,18,7,24), (1,17,7,16,9,21)(2,18,8,15,10,22)(3,20,5,14,11,24)(4,19,6,13,12,23), (1,17,3,20,2,18,4,19)(5,22,7,24,6,21,8,23)(9,13)(10,14)(11,16)(12,15), "t24n9862"],[(1,8,10)(2,7,9)(3,5,12)(4,6,11)(17,18)(19,20)(21,22)(23,24), (1,21,3,23,2,22,4,24)(5,18,10,14,7,20,12,16)(6,17,9,13,8,19,11,15),"t24n9863"] ,[(1,6,4,7,2,5,3,8)(9,11)(10,12)(15,16)(17,21)(18,22)(19,24)(20,23), (1,22,5,15,12,18)(2,21,6,16,11,17)(3,24,8,14,9,20)(4,23,7,13,10,19),"t24n9864" ],[(1,6,12)(2,5,11)(3,8,9)(4,7,10)(13,23,18)(14,24,17)(15,22,19)(16,21,20), (1,14,5,23,3,16,7,22,2,13,6,24,4,15,8,21)(9,20,12,17,10,19,11,18),"t24n9865"], [(13,20,21)(14,19,22)(15,17,23)(16,18,24),(1,21,11,14,2,22,12,13)(3,24,9,15,4,23,10,16 )(5,17,8,19)(6,18,7,20),"t24n9866"], [(1,14,10,22,4,15,11,23,2,13,9,21,3,16,12,24)(5,17,8,19,6,18,7,20), (1,14,5,24,3,16,7,21,2,13,6,23,4,15,8,22)(9,19,11,17,10,20,12,18),"t24n9867"], [(1,8,3,5)(2,7,4,6)(9,23,11,22)(10,24,12,21)(13,18,16,20)(14,17,15,19), (1,13,19,2,14,20)(3,10,21,4,9,22)(5,12,18,6,11,17)(7,16,24)(8,15,23), (1,21,10,5,18,14,2,22,9,6,17,13)(3,19,11,4,20,12)(7,24,15)(8,23,16),"t24n9868" ],[(1,14,17,7,11,23,2,13,18,8,12,24)(3,9,19)(4,10,20)(5,16,21,6,15,22), (1,18,10,2,17,9)(3,23,12,8,20,15)(4,24,11,7,19,16)(5,22,14,6,21,13),"t24n9869" ],[(1,5)(2,6)(3,8)(4,7)(11,12)(15,16)(17,21)(18,22)(19,24)(20,23), (1,19,5,17,3,21,2,20,6,18,4,22)(7,23,8,24)(9,10)(11,16,13,12,15,14), (1,24,16,2,23,15)(3,22,14)(4,21,13)(5,19,11)(6,20,12)(7,17,9,8,18,10), "t24n9870"],[(3,7,6)(4,8,5)(11,16,13)(12,15,14)(17,18)(19,23,21,20,24,22), (1,8,5,3,2,7,6,4)(9,20,11,21)(10,19,12,22)(13,24,15,17)(14,23,16,18), (1,19,10,2,20,9)(3,18,12)(4,17,11)(5,23,13)(6,24,14)(7,21,15,8,22,16), "t24n9871"], [(1,15,22,6,13,19,2,16,21,5,14,20)(3,10,18,8,12,23,4,9,17,7,11,24), (1,19,12,2,20,11)(3,17,9,4,18,10)(5,22,15,8,24,13,6,21,16,7,23,14),"t24n9872"] ,[(1,5,4,7)(2,6,3,8)(9,21,15,18,10,22,16,17)(11,24,13,20,12,23,14,19), (1,12,6,14)(2,11,5,13)(3,10,8,16)(4,9,7,15)(17,21,19,24)(18,22,20,23), (1,23,14,8,22,10)(2,24,13,7,21,9)(3,20,12,6,18,16)(4,19,11,5,17,15),"t24n9873" ],[(1,12,7,14,2,11,8,13)(3,10,5,16,4,9,6,15)(17,24)(18,23)(19,21)(20,22), (1,21,4,19,8,18)(2,22,3,20,7,17)(5,24)(6,23)(9,14,15)(10,13,16),"t24n9874"], [(1,9)(2,10)(3,16,4,15)(5,14)(6,13)(7,11,8,12)(17,18)(19,23,20,24), (1,16,20,2,15,19)(3,14,18,4,13,17)(5,12,24,6,11,23)(7,10,21,8,9,22), (1,22,8,18,2,21,7,17)(3,24,5,20,4,23,6,19)(9,13,11,15)(10,14,12,16),"t24n9875" ],[(1,2)(5,8)(6,7)(9,12)(10,11)(13,14)(17,19)(18,20)(23,24), (1,10,24,2,9,23)(3,14,21,6,12,19,4,13,22,5,11,20)(7,16,17,8,15,18),"t24n9876"] ,[(1,2)(3,4)(5,8)(6,7)(9,19,16,24)(10,20,15,23)(11,17,14,22)(12,18,13,21), (1,6,4)(2,5,3)(9,16,14,10,15,13)(11,12)(17,20,23)(18,19,24), (1,12,19,7,14,21)(2,11,20,8,13,22)(3,9,17,6,16,24)(4,10,18,5,15,23),"t24n9877" ],[(3,8,6)(4,7,5)(9,12,14)(10,11,13)(17,24,19,18,23,20)(21,22), (1,2)(3,7)(4,8)(9,23)(10,24)(11,17)(12,18)(13,20)(14,19)(15,21)(16,22), (1,11,21)(2,12,22)(3,13,17)(4,14,18)(5,9,19)(6,10,20)(7,15,23)(8,16,24), "t24n9878"], [(1,8)(2,7)(3,6,4,5)(9,20,16,21,10,19,15,22)(11,18,14,24,12,17,13,23), (1,16,6,10,7,13)(2,15,5,9,8,14)(3,11)(4,12)(19,21,24,20,22,23),"t24n9879"], [(1,3,6)(2,4,5)(9,10)(11,16,13,12,15,14)(17,19,21,18,20,22)(23,24), (1,7,6,4,2,8,5,3)(9,19,12,22,10,20,11,21)(13,24,16,17,14,23,15,18), (1,11,2,12)(3,15)(4,16)(5,10)(6,9)(7,13,8,14)(17,23,18,24)(19,20)(21,22), "t24n9880"],[(1,6,8)(2,5,7)(9,14,15,10,13,16)(11,12)(19,23,22)(20,24,21), (1,15,24)(2,16,23)(3,12,21,5,14,20,4,11,22,6,13,19)(7,9,17,8,10,18),"t24n9881" ],[(1,20,11,2,19,12)(3,18,9,4,17,10)(5,23,16)(6,24,15)(7,21,14)(8,22,13), (1,20,7,24,5,17,2,19,8,23,6,18)(3,22,4,21)(9,12,14,10,11,13),"t24n9882"], [(1,9,5,13,2,10,6,14)(3,15,7,12,4,16,8,11)(17,23,22,20,18,24,21,19), (1,15,22)(2,16,21)(3,14,20)(4,13,19)(5,12,17)(6,11,18)(7,9,23)(8,10,24), (1,20,9,3,24,16,2,19,10,4,23,15)(5,17,11,8,22,13,6,18,12,7,21,14),"t24n9883"], [(1,3,7,5,2,4,8,6)(9,20)(10,19)(11,24,12,23)(13,22)(14,21)(15,17,16,18), (1,12,23,6,15,20,2,11,24,5,16,19)(3,10,17,8,13,22,4,9,18,7,14,21), (1,19,11,5,18,10,2,20,12,6,17,9)(3,24,14,8,22,16,4,23,13,7,21,15),"t24n9884"], [(1,7,3,5)(2,8,4,6)(9,17,10,18)(11,23,12,24)(13,20,14,19)(15,22,16,21), (1,13,7,12)(2,14,8,11)(3,9,5,16)(4,10,6,15)(17,24,20,21)(18,23,19,22), (1,19,4,21)(2,20,3,22)(5,18,8,24)(6,17,7,23)(9,12)(10,11),"t24n9885"], [(1,9,24,7,13,18)(2,10,23,8,14,17)(3,15,19,5,11,21)(4,16,20,6,12,22), (1,13,6,9)(2,14,5,10)(3,12,7,15)(4,11,8,16)(17,24,21,19)(18,23,22,20), (1,14,7,12)(2,13,8,11)(3,10,6,15)(4,9,5,16)(17,23,20,21)(18,24,19,22), "t24n9886"],[(1,2)(3,7)(4,8)(11,15)(12,16)(13,14)(17,22)(18,21)(23,24), (1,17,10,7,21,11,2,18,9,8,22,12)(3,19,13,6,23,15,4,20,14,5,24,16),"t24n9887"], [(1,6,3)(2,5,4)(9,15,14,10,16,13)(11,12)(17,24,19,18,23,20)(21,22), (1,15,20,7,11,18,4,14,21,6,9,24,2,16,19,8,12,17,3,13,22,5,10,23),"t24n9888"], [(1,6,4)(2,5,3)(9,11,15,10,12,16)(13,14)(17,20,21)(18,19,22), (1,20,16,4,23,14,8,18,10,5,21,12,2,19,15,3,24,13,7,17,9,6,22,11),"t24n9889"], [(1,9,24,8,12,22,6,14,20,4,16,18)(2,10,23,7,11,21,5,13,19,3,15,17), (1,16,23,8,11,17)(2,15,24,7,12,18)(3,10,19,5,14,21)(4,9,20,6,13,22),"t24n9890" ],[(1,17,12,7,21,14,3,24,9,5,19,15)(2,18,11,8,22,13,4,23,10,6,20,16), (1,23,9,4,21,14,2,24,10,3,22,13)(5,18,15,7,20,11,6,17,16,8,19,12),"t24n9891"], [(1,17,14,6,23,10,7,19,11,4,22,15)(2,18,13,5,24,9,8,20,12,3,21,16), (1,23,11,5,17,13)(2,24,12,6,18,14)(3,22,15,8,20,10)(4,21,16,7,19,9),"t24n9892" ],[(1,5,2,6)(3,7,4,8)(9,19,15,17,10,20,16,18)(11,22,14,23,12,21,13,24), (1,12,6,14,7,9,2,11,5,13,8,10)(3,16,4,15)(17,22,24)(18,21,23),"t24n9893"], [(1,11,6,10,4,13)(2,12,5,9,3,14)(7,16)(8,15)(17,18)(19,21,24,20,22,23), (1,21,5,19,4,23,2,22,6,20,3,24)(7,18,8,17)(9,13,15,10,14,16)(11,12),"t24n9894" ],[(1,13,18,7,16,21,2,14,17,8,15,22)(3,10,19,6,12,23,4,9,20,5,11,24), (1,20,7,22,3,24,2,19,8,21,4,23)(5,18,6,17)(9,13,11,10,14,12)(15,16), (1,22,9,3,19,12,2,21,10,4,20,11)(5,18,14,7,23,15,6,17,13,8,24,16),"t24n9895"], [(1,6,8)(2,5,7)(9,21,11,24,16,18)(10,22,12,23,15,17)(13,20)(14,19), (1,12,17,3,10,23)(2,11,18,4,9,24)(5,15,21,8,14,20)(6,16,22,7,13,19),"t24n9896" ],[(1,14,21,5,15,23)(2,13,22,6,16,24)(3,11,18,7,10,20)(4,12,17,8,9,19), (1,16)(2,15)(3,9,5,14,8,12)(4,10,6,13,7,11)(17,22,19)(18,21,20),"t24n9897"], [(1,14,5,16,3,11)(2,13,6,15,4,12)(7,9)(8,10)(17,23,21,18,24,22)(19,20), (1,17,3,21,5,20,2,18,4,22,6,19)(7,24,8,23)(9,15,13)(10,16,14),"t24n9898"], [(1,2)(3,6)(4,5)(9,19,16,23,10,20,15,24)(11,22,13,18,12,21,14,17), (1,21,16,3,19,10,5,24,11)(2,22,15,4,20,9,6,23,12)(7,17,14)(8,18,13),"t24n9899" ],[(1,13,4,10,2,14,3,9)(5,11,8,16,6,12,7,15)(17,19,21,24,18,20,22,23), (1,23,10,2,24,9)(3,18,16,7,19,11,5,21,14,4,17,15,8,20,12,6,22,13),"t24n9900"] ]; TRANSPROPERTIES[24]{[9601..9900]}:= [ [6144,0,1,1, "5550s0510s050A80s045401s2810s0420s2D0802" ,[-1012,12,192,1024],[384,1048,2024],[1048,1256,1384,2024,2192]], [6144,0,1,1, "5550s0510s0680s0454s2910s0420s2E02" ,[-1012,12,48,192],[384,1048,2024],[768,1048,1256,2024,2192]], [6144,0,1,1, "5550s0510s050A80s045401s2810s0420s2E02" ,[-2012,48,192],[96,384,2024],[24,256,1128,1384,2048,2192]], [6144,0,1,1, "5550s0510s050280s0454s2910s0420s2D0802" ,[-2012,48,192],[96,384,2024],[24,256,768,1128,2048,2192]], [6144,0,1,1, "1550s0510s050A80s045401s2D20s2D0802" ,[-1012,12,192,1024],[384,1048,2024],[1048,1256,1384,2024,2192], [20244,[[[-7002,32],[-7002,32],[-3008,64,1016,1032],[-3008, 64,1016,1032],[-3002,16],[-3002,16],[-3002,16], [-8,-2,1001],[-8,-2,1001],[-4,-2],[-4,-2], [-4,1001],[32,3016],[32,3016],[32,3016], [64,1016,1032,3008],[64,1032,3016],[64,1032,3016], [64,1032,3016],[64,3032],[128,3016,5032], [128,7032],[128,7032],[128,7032],[256,3064,7032], [256,3064,7032],[2016],[2016],[2016],[3016,3032], [3256,7064],[3256,7064],[5064],[5064],[5064], [5064],[5064],[5064]], [[-7002,32],[-7002,32],[-3008,64,1016,1032], [-3008,64,1016,1032],[-3002,16],[-3002,16], [-3002,16],[-8,-2,1001],[-8,-2,1001],[-4,-2], [-4,-2],[-4,1001],[32,3016],[32,3016],[32,3016], [64,1016,1032,3008],[64,1032,3016],[64,1032,3016], [64,1032,3016],[64,3032],[128,3016,5032], [128,7032],[128,7032],[128,7032],[256,3064,7032], [256,3064,7032],[2016],[2016],[2016],[3016,3032], [3256,7064],[3256,7064],[5064],[5064],[5064], [5064],[5064],[5064]]]]], [6144,0,1,1, "1550s0510s050280s0454s2E20s2E02" ,[-1012,12,48,192],[384,1048,2024],[768,1048,1256,2024,2192]], [6144,0,1,1, "1550s0510s050A80s045401s2D20s2D0802" ,[-1012,12,192,1024],[384,1048,2024],[1048,1256,1384,2024,2192], [20244,[[[-7002,32],[-7002,32],[-3008,64,1016,1032],[-3008, 64,1016,1032],[-3002,16],[-3002,16],[-3002,16], [-8,-2,1001],[-8,-2,1001],[-4,-2],[-4,-2], [-4,1001],[32,3016],[32,3016],[32,3016], [64,1016,1032,3008],[64,1032,3016],[64,1032,3016], [64,1032,3016],[64,1032,3016],[64,3032], [128,3016,5032],[128,7032],[128,7032],[128,7032], [256,3064,7032],[256,3064,7032],[2016],[2016], [2016],[3256,7064],[3256,7064],[5064],[5064], [5064],[5064],[5064],[5064]], [[-7002,32],[-7002,32],[-3008,64,1016,1032], [-3008,64,1016,1032],[-3002,16],[-3002,16], [-3002,16],[-8,-2,1001],[-8,-2,1001],[-4,-2], [-4,-2],[-4,1001],[32,3016],[32,3016],[32,3016], [64,1016,1032,3008],[64,1032,3016],[64,1032,3016], [64,1032,3016],[64,1032,3016],[64,3032], [128,3016,5032],[128,7032],[128,7032],[128,7032], [256,3064,7032],[256,3064,7032],[2016],[2016], [2016],[3256,7064],[3256,7064],[5064],[5064], [5064],[5064],[5064],[5064]]]]], [6144,0,1,1, "1550s0510s050880s0454s2E20s2E02" ,[-1012,12,48,192],[384,1048,2024],[768,1048,1256,2024,2192],[212,[95,227,227]]], [6144,0,1,1, "1550s0510s050A80s045401s2D20s2E02" ,[-2012,48,192],[96,384,2024],[24,1256,1384,2048,2192]], [6144,0,1,1, "1550s0510s050280s0454s2E20s2D0802" ,[-2012,48,192],[96,384,2024],[24,768,1256,2048,2192]], [6144,0,1,1, "1550s0510s052A80s045401s2810s0420s2D2802s3A20" ,[-2012,48,192],[96,384,2024],[24,512,1384,2048,2192]], [6144,0,1,1, "5550s0510s050A80s045401s2810s0420s2D2802s3A20" ,[-2012,48,192],[96,384,2024],[24,128,2048,2192,2384]], [6144,0,1,1, "1550s0510s058A80s045401s2810s0420s2DA802s3A20" ,[-1012,12,192,1024],[384,1048,2024],[512,1048,1384,2024,2192]], [6144,0,1,1, "5550s0510s05AA80s045401s2810s0420s2DA802s3A20" ,[-1012,12,1024,1096],[1048,1192,2024],[128,1048,1096,1384,2024,3192]], [6912,0,1,-1, "25F0s03490490s080278008001s1602482480s0404s074F04900020009220s2F04s3038248001\ 000491s0220s1704" ,[-1024,-72,-12,144],[-24,144,288,1048],[-72,-24,-8,48,864,1288,2144]], [6912,0,1,-1, "25F0s040490s09D8000405s182480s0D0580s03B220s2E0204s310Cs030180" 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