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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 trans18c.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 18
##
TRANSGRP[18]{[601..900]}:=
[[(1,17,3,16,2,18)(4,15,6,14,5,13)(7,12,8,11,9,10),
(1,13,8,2,15,9)(3,14,7)(4,18,12,5,17,11)(6,16,10),
(1,18,14,11,9,4,3,16,13,10,8,5,2,17,15,12,7,6),"t18n601"],
[(1,4,2,6)(3,5)(7,18,9,16)(8,17)(10,15,12,13)(11,14),
(1,9,2,8,3,7)(4,5)(10,18,12,17,11,16)(13,14),"t18n602"],
[(1,12,15,16,9,6,2,11,14,18,7,5,3,10,13,17,8,4),
(1,12,3,10,2,11)(4,15,5,13,6,14)(7,18,9,16,8,17),
(1,9,13,2,8,15)(3,7,14)(4,10,18)(5,12,16,6,11,17),"t18n603"],
[(1,7,2,9,3,8)(4,10)(5,12)(6,11)(13,14)(17,18),
(1,11,9,16,3,10,8,18,2,12,7,17)(4,15,5,14,6,13),"t18n604"],
[(1,18,13,3,16,14,2,17,15)(4,10,9,6,12,8,5,11,7),
(1,2,3)(4,7,13,17,6,9,15,16,5,8,14,18),"t18n605"],
[(1,11,2,12,3,10)(4,5,6)(7,17,9,18,8,16)(13,15,14),
(1,9,13)(2,8,14,3,7,15)(4,11,16,5,12,17)(6,10,18),"t18n606"],
[(1,17,6)(2,18,5)(3,16,4)(7,15,12,9,13,10,8,14,11),
(1,5,9)(2,4,8,3,6,7)(10,15,16,11,13,17)(12,14,18),"t18n607"],
[(1,16,4,12,9,15,2,18,5,11,8,13,3,17,6,10,7,14),
(1,16,13,10,8,5,3,17,14,11,9,6,2,18,15,12,7,4),"t18n608"],
[(1,17,12,6,15,7,3,18,10,4,14,9,2,16,11,5,13,8),
(1,14,11)(2,13,12)(3,15,10)(4,17,7,5,16,8,6,18,9),"t18n609"],
[(1,10)(2,12)(3,11)(4,6,5)(7,16,9,18,8,17)(13,15,14),
(1,7,5,3,8,6,2,9,4)(10,17,13)(11,18,14)(12,16,15),
(1,15,3,13,2,14)(4,11,5,12,6,10)(16,18,17),"t18n610"],
[(1,4,9,11,15,18,3,6,7,10,13,17,2,5,8,12,14,16),
(1,17,4,10,7,14,2,16,6,11,8,15,3,18,5,12,9,13),"t18n611"],
[(1,18,13,11,9,4)(2,17,15,10,7,6,3,16,14,12,8,5),
(1,18,2,17,3,16)(4,13,6,14,5,15)(7,12,9,11,8,10),"t18n612"],
[(1,13,2,14,3,15)(4,16,11,5,18,12)(6,17,10)(8,9),
(1,17,7,11,2,18,8,12,3,16,9,10)(4,15,6,13,5,14),"t18n613"],
[(1,2,3)(4,12,18)(5,10,16)(6,11,17)(7,14,9,15,8,13),
(1,11,14,6,2,12,13,4,3,10,15,5)(7,16,9,18,8,17),
(1,13)(2,15)(3,14)(4,6,5)(7,9,8)(10,12,11),"t18n614"],
[(1,18,14,10,9,6,3,17,13,11,8,5,2,16,15,12,7,4),
(1,5,2,4)(3,6)(7,17)(8,16,9,18)(10,15)(11,14,12,13),"t18n615"],
[(1,13,2,14)(3,15)(4,11,5,10)(6,12)(7,16)(8,18,9,17),
(1,18,3,16,2,17)(4,15,5,14,6,13)(7,11)(8,10)(9,12),"t18n616"],
[(1,2)(4,16,6,17,5,18)(7,8)(10,12)(13,15),(1,6,8,10,13,16)(2,4,9,11,15,17)
(3,5,7,12,14,18),"t18n617"],
[(1,15,18)(2,14,16)(3,13,17)(4,9,12,6,7,10,5,8,11),
(1,15,3,14,2,13)(4,11,6,10,5,12)(8,9)(16,18),
(1,9,5,3,8,6,2,7,4)(10,16,14,11,17,13,12,18,15),"t18n618"],
[(1,12,3,11)(2,10)(4,7,5,9)(6,8)(13,17)(14,16)(15,18),
(1,6,3,5,2,4)(7,17,9,16,8,18)(10,15,12,13,11,14),"t18n619"],
[(2,3)(4,7,15,17,5,8,13,18,6,9,14,16)(10,12),(1,11,3,12,2,10)(4,7,5,8,6,9)
(13,16,15,18,14,17),(1,6,18,2,4,17,3,5,16)(7,11,15,9,12,13,8,10,14),
"t18n620"],
[(1,18,12,7,2,17,11,9,3,16,10,8)(4,15)(5,14,6,13),(1,15,3,13,2,14)(4,10)
(5,12)(6,11)(7,9),"t18n621"],
[(1,13,8)(2,14,7)(3,15,9,4,16,10)(5,18,12,6,17,11),
(1,3,8,18,12,16,6,14)(2,4,7,17,11,15,5,13),"t18n622"],
[(17,18),(5,12,6,11)(7,13)(8,14)(9,15)(10,16),(1,3,2,4)(5,6)(7,9,8,10)
(13,15)(14,16)(17,18),(1,4,18,2,3,17)(5,8,10,6,7,9)(11,13,15)(12,14,16),
(1,7,13)(2,8,14)(3,10,16,4,9,15)(5,12,18,6,11,17),"t18n623"],
[(1,3,7,18,12,16,6,14,2,4,8,17,11,15,5,13),
(1,10,13,12,17,16,5,8,2,9,14,11,18,15,6,7),"t18n624"],
[(1,13,17,6)(2,14,18,5)(7,10,11,16)(8,9,12,15),
(1,3,18)(2,4,17)(5,7,10)(6,8,9)(11,14,16,12,13,15),"t18n625"],
[(1,16)(2,15)(3,7)(4,8)(9,14)(10,13)(11,12),
(1,6,18,13,2,5,17,14)(7,16,11,10,8,15,12,9),"t18n626"],
[(1,14,9,15)(2,13,10,16)(3,5,7,17,4,6,8,18),
(1,10,11,2,9,12)(3,8,13,17,6,15,4,7,14,18,5,16),"t18n627"],
[(1,13,17,5)(2,14,18,6)(7,9,12,15)(8,10,11,16),
(1,17,14,16)(2,18,13,15)(3,9,11,6)(4,10,12,5),"t18n628"],
[(1,18,13,16,2,17,14,15)(3,10,11,6)(4,9,12,5)(7,8),
(1,3,10,8,2,4,9,7)(5,14,18,15,6,13,17,16)(11,12),"t18n629"],
[(1,2)(3,9)(4,10)(5,6)(7,13)(8,14)(11,18,12,17)(15,16),
(1,13,10,15)(2,14,9,16)(3,6,8,18,4,5,7,17)(11,12),"t18n630"],
[(3,6,4,5)(7,10,8,9)(13,14)(15,17)(16,18),
(1,10,18)(2,9,17)(3,8,14,6,12,15,4,7,13,5,11,16),
(1,11,15,3,10,18)(2,12,16,4,9,17)(5,7,13)(6,8,14),"t18n631"],
[(1,17,3,14,6,15)(2,18,4,13,5,16)(7,9,12,8,10,11),
(1,5,3)(2,6,4)(7,17,12,15,10,13)(8,18,11,16,9,14),"t18n632"],
[(1,15,8,18,14,5,4,12,9)(2,16,7,17,13,6,3,11,10),
(1,2)(3,4)(7,8)(11,16,13)(12,15,14)(17,18),"t18n633"],
[(1,12,3,13,9,18,5,10,2,15,4,16)(6,17,7,11,8,14),
(1,2,7,6)(3,8,5,9)(10,14,17,15,11,16,13,12),"t18n634"],
[(1,8,7,4,9,5,3,6)(10,16,18,15,11,17)(12,13,14),(1,18)(2,13,9,17)(3,12,8,15)
(4,16,7,14)(5,11,6,10),(1,7,8,2)(4,6,5,9)(10,11,12,14)(13,15,18,16),
"t18n635"],
[(1,15,6,18,8,14,9,11)(2,13,5,12,7,16,4,17)(3,10),(1,2,3,4,8,6)(5,9,7)
(10,18,17,16,12,14)(11,13,15),(1,9,2)(3,6,4,7,5,8)(10,12,14,18)(11,17,13,16),
"t18n636"],
[(1,2,6,5,8,7,9,4)(10,11,12,13,17,15)(14,18,16),(1,16,2,11,9,12)(3,18,8,14,5,
17,7,10,4,13,6,15),"t18n637"],
[(1,4,5,7,3,9,2,6)(10,17,16,13,18,14,12,15),
(1,15,3,11,6,14,4,18)(2,16,7,12,8,13,9,17)(5,10),
(1,8)(2,7)(4,5)(6,9)(10,15,14)(11,17,12,18,16,13),"t18n638"],
[(1,10,4,11,8,14,5,13)(2,12,6,16,7,18,9,17)(3,15),
(1,4)(2,3)(5,9)(6,8)(10,14,12,16,17,18)(11,15,13),"t18n639"],
[(1,17,11,4,16,8)(2,18,12,3,15,7)(5,13,10)(6,14,9),
(1,15,6,17,4,14)(2,16,5,18,3,13)(7,9)(8,10)(11,12),"t18n640"],
[(1,2)(3,6,4,5)(7,18,10,16,12,14)(8,17,9,15,11,13),
(1,12)(2,11)(3,8,4,7)(5,10,6,9)(13,16,17)(14,15,18),"t18n641"],
[(1,9,13,5,11,18)(2,10,14,6,12,17)(3,7,16,4,8,15),
(1,18)(2,17)(3,14,4,13)(5,16,6,15)(7,9,12,8,10,11),"t18n642"],
[(9,10)(11,12)(13,14)(15,16),(1,5,2,6)(9,11,10,12)(13,18,14,17),
(1,11,15,3,7,18,5,10,14)(2,12,16,4,8,17,6,9,13),
(1,12,2,11)(3,7)(4,8)(5,9,6,10),"t18n643"],
[(1,15,10)(2,16,9)(3,18,12,4,17,11)(5,13,7,6,14,8),
(1,13,11,3,15,7,5,17,9,2,14,12,4,16,8,6,18,10),
(1,6)(2,5)(7,16)(8,15)(9,14,10,13)(11,18,12,17),"t18n644"],
[(1,2)(3,6)(4,5)(7,12,8,11)(13,17,15)(14,18,16),
(1,9,16,6,7,17,3,12,14)(2,10,15,5,8,18,4,11,13),"t18n645"],
[(1,13,9,2,14,10)(3,16,11)(4,15,12)(5,17,8,6,18,7),
(1,18,12,4,15,9,6,13,7)(2,17,11,3,16,10,5,14,8),"t18n646"],
[(1,8,14,6,11,15,3,9,17)(2,7,13,5,12,16,4,10,18),(1,3,2,4)(7,8)(9,11,10,12)
(13,16,18,14,15,17),"t18n647"],
[(1,11,3,10)(2,12)(4,16,9,15)(5,18,7,14)(6,17,8,13),
(1,5,9,2,6,7)(3,4,8)(10,17,13)(11,18,15)(12,16,14),
(1,10,8,13,4,17)(2,11,9,15,6,18)(3,12,7,14,5,16),"t18n648"],
[(1,16,14,12,7,5)(2,17,13,10,8,6)(3,18,15,11,9,4),
(1,12,2,10,3,11)(4,8,13,17,6,7,14,16,5,9,15,18),
(1,10)(2,12)(3,11)(4,6)(8,9)(13,15)(17,18),"t18n649"],
[(1,11,13,6,9,18,3,10,15,4,8,16,2,12,14,5,7,17),
(1,5,15,16,8,11)(2,6,13,17,9,10)(3,4,14,18,7,12),
(1,7,13,2,8,14,3,9,15)(4,11,16,5,10,17,6,12,18),"t18n650"],
[(1,11,9,16,13,6,3,12,7,17,15,5)(2,10,8,18,14,4),
(1,7,14,3,8,13)(2,9,15)(4,5)(10,11)(16,18),"t18n651"],
[(1,18,14,11)(2,17,13,10)(3,16,15,12)(4,7)(5,8)(6,9),
(4,16,11)(5,17,12)(6,18,10)(13,15,14),"t18n652"],
[(1,11,15,16,7,5,2,10,14,18,9,4,3,12,13,17,8,6),
(4,17)(5,18)(6,16)(7,14,8,15,9,13),
(1,9)(2,8)(3,7)(4,5,6)(10,16,12,18,11,17),"t18n653"],
[(2,3)(4,18,5,16,6,17)(7,13,8,14,9,15)(10,12),
(1,17,14,5,9,11)(2,18,13,4,7,12)(3,16,15,6,8,10),
(1,14,9,3,15,8,2,13,7)(4,18,11)(5,17,10)(6,16,12),"t18n654"],
[(1,10,8,6,2,12,7,5,3,11,9,4)(13,17,15,16)(14,18),
(1,9,3,7,2,8)(4,10,5,11,6,12)(14,15)(17,18),
(1,17,9,11,3,18,7,10,2,16,8,12)(4,14)(5,15,6,13),"t18n655"],
[(3,12,16,18,10,5,4,11,15,17,9,6)(7,13,8,14),
(1,3,17,7,9,5,13,15,12,2,4,18,8,10,6,14,16,11),"t18n656"],
[(1,8,13,2,7,14)(3,5,16,18,9,12)(4,6,15,17,10,11),
(1,6,16)(2,5,15)(3,10,11,18,7,13)(4,9,12,17,8,14),"t18n657"],
[(1,8,3,5,18,10,2,7,4,6,17,9)(11,13)(12,14),(1,7,13,2,8,14)(3,10,15,4,9,16)
(5,12,18,6,11,17),"t18n658"],
[(1,12,5,2,11,6)(3,13,8,4,14,7)(9,18,15)(10,17,16),
(3,18)(4,17)(5,10,6,9)(11,15,12,16),(1,7,18,9,4,6)(2,8,17,10,3,5)(13,15)
(14,16),"t18n659"],
[(1,15,17,11,4,14)(2,16,18,12,3,13)(5,7,6,8)(9,10),(1,12,2,11)(3,14)(4,13)
(7,8)(15,18,16,17),(1,5,11)(2,6,12)(3,7,13)(4,8,14)(9,15,17)(10,16,18),
"t18n660"],
[(1,9,17,5,3,7)(2,10,18,6,4,8)(11,13)(12,14)(15,16),(1,16,6,2,15,5)
(3,13,8,17,11,9)(4,14,7,18,12,10),"t18n661"],
[(17,18),(5,12,6,11)(7,13)(8,14)(9,15)(10,16),(1,2)(5,8,10,6,7,9)(11,15,13)
(12,16,14)(17,18),(1,7,13)(2,8,14)(3,10,16,4,9,15)(5,12,18,6,11,17),
"t18n662"],
[(3,18)(4,17)(5,13,10,16,8,11,6,14,9,15,7,12),(1,15,18,13,4,11,2,16,17,14,3,12)
(5,7,10)(6,8,9),"t18n663"],
[(1,11,9,4,16,15,3,12,8,5,18,14,2,10,7,6,17,13),
(1,18,6,15,12,2,16,4,14,10,3,17,5,13,11)(7,9,8),"t18n664"],
[(1,6,14,2,4,13,3,5,15)(7,16,11,9,18,10,8,17,12),
(1,15,10,6,7,3,14,12,4,9)(2,13,11,5,8)(16,17),"t18n665"],
[(1,15,18,6,8,12)(2,14,16,4,9,10)(3,13,17,5,7,11),
(1,18,6)(2,16,4)(3,17,5)(7,10,15)(8,11,14)(9,12,13),"t18n666"],
[(1,10,3,11,9,13,7,12)(2,16)(4,17,8,18,6,15,5,14),
(1,6,7)(2,9,3)(4,5,8)(10,14,18)(11,15,16)(12,13,17),
(2,8,9,3)(4,6,7,5)(10,12,17)(11,13,15)(14,16,18),"t18n667"],
[(1,11,8,18,6,15,2,17)(3,10,7,12,4,16,9,14)(5,13),
(1,18,7,14,6,15,9,13)(2,17,4,16,8,10,3,11)(5,12),"t18n668"],
[(1,11,16,5,8,15,2,12,17,4,9,14,3,10,18,6,7,13),
(1,11,16,5,8,15,3,12,17,4,7,13,2,10,18,6,9,14),"t18n669"],
[(1,13,16,3,14,17,2,15,18)(4,8,11,6,7,10,5,9,12),
(1,4,8,2,6,7)(3,5,9)(10,13,17,11,14,18)(12,15,16),
(2,3)(4,5,6)(7,16,8,17,9,18)(11,12)(13,15,14),"t18n670"],
[(1,14,7,5,17,10,2,15,8,6,16,12)(3,13,9,4,18,11),
(1,14,9,6,16,12,2,15,7,5,17,10)(3,13,8,4,18,11),"t18n671"],
[(1,7,6,12,18,15,3,8,4,10,16,13,2,9,5,11,17,14),
(1,15,11,6,2,14,10,5,3,13,12,4)(7,16,8,17,9,18),"t18n672"],
[(1,14,9,3,13,8,2,15,7)(4,16,12,5,17,11,6,18,10),
(1,17,15,11,9,5)(2,16,13,12,7,4)(3,18,14,10,8,6),
(1,15,7,12,5,16)(2,14,8,11,4,17)(3,13,9,10,6,18),"t18n673"],
[(1,2)(4,5)(7,15,9,14,8,13)(10,11)(16,18),
(1,9,15,2,8,14)(3,7,13)(4,16,10,6,17,12)(5,18,11),
(1,11,2,10,3,12)(4,8)(5,7)(6,9)(13,18)(14,16)(15,17),"t18n674"],
[(1,14,3,13,2,15)(4,10,6,11,5,12)(7,18,8,17,9,16),
(1,17,8,15,6,12)(2,18,7,13,4,11)(3,16,9,14,5,10),
(1,10,2,11)(3,12)(4,17,5,16)(6,18)(7,13)(8,14,9,15),"t18n675"],
[(1,6,3,4,2,5)(7,18)(8,16,9,17)(10,15,11,14)(12,13),
(1,9,14,3,7,15)(2,8,13)(4,12,17,5,11,18)(6,10,16),"t18n676"],
[(1,7,6,3,9,5,2,8,4)(10,16,14)(11,17,15)(12,18,13),
(1,9,4,12,16,15)(2,7,5,11,18,14)(3,8,6,10,17,13),
(1,7,10,16,3,8,11,18,2,9,12,17)(4,14,5,15,6,13),"t18n677"],
[(1,9)(2,7)(3,8)(4,6,5)(10,16,11,17,12,18)(13,14),
(1,4,17,2,6,18)(3,5,16)(7,12,15)(8,10,13,9,11,14),"t18n678"],
[(1,9,11,18,3,8,10,16,2,7,12,17)(4,13,5,15,6,14),(1,6,3,5,2,4)(7,8)(10,14)
(11,13)(12,15)(16,17),(1,4)(2,6)(3,5)(7,8,9)(10,14,12,13,11,15)(16,18,17),
"t18n679"],
[(1,8,10,18,3,9,12,16,2,7,11,17)(4,14,6,15,5,13),(1,3,2)(4,9,14,16,5,8,15,
18,6,7,13,17)(10,11,12),"t18n680"],
[(4,17,14,9,5,18,15,8,6,16,13,7)(10,11),(1,13,3,15)(2,14)(4,11,6,12)(5,10)
(7,17)(8,18,9,16),"t18n681"],
[(1,4,2,6)(3,5)(7,18,8,17,9,16)(10,13,12,15,11,14),
(1,16,2,17,3,18)(4,13)(5,14)(6,15)(7,12,8,11)(9,10),"t18n682"],
[(1,17,11,4,13,8,3,18,10,6,14,7,2,16,12,5,15,9),
(1,7,2,9,3,8)(4,12,5,11,6,10)(13,18)(14,16)(15,17),"t18n683"],
[(1,4,12,13)(2,5,10,15)(3,6,11,14)(7,8)(16,18),
(1,8,11,18,2,9,12,17,3,7,10,16)(4,6,5)(13,14,15),
(1,13,18,3,15,16,2,14,17)(4,9,12)(5,8,11)(6,7,10),"t18n684"],
[(1,8,15,10,18,4,3,7,13,11,17,5,2,9,14,12,16,6),
(1,3,2)(4,16)(5,17)(6,18)(7,13,9,15,8,14)(10,11,12),"t18n685"],
[(1,16,10,6,14,9,2,17,11,4,15,7,3,18,12,5,13,8),
(1,15,3,13)(2,14)(4,16)(5,18,6,17)(7,8,9)(10,11,12),
(1,2,3)(4,6,5)(7,8)(10,12)(14,15)(16,18),"t18n686"],
[(2,3)(4,6)(7,8)(10,12),(1,11,15)(2,12,13)(3,10,14)(4,7,17,5,8,16,6,9,18),
(1,5,2,4,3,6)(13,16,14,17,15,18),"t18n687"],
[(1,14,10)(2,13,11)(3,15,12)(4,16,8,6,17,7,5,18,9),
(1,5)(2,4,3,6)(7,8,9)(10,11,12)(13,18,14,16)(15,17),"t18n688"],
[(1,17,9,11,5,8,3,13,2,18,10,12,6,7,4,14)(15,16),
(1,18,15,12,2,17,16,11)(3,8,13,9,4,7,14,10)(5,6),"t18n689"],
[(1,10,16,7,2,9,15,8)(3,18,13,11,4,17,14,12),(1,14,16,3,2,13,15,4)(5,6)
(7,12,10,17,8,11,9,18),(1,15,17,10)(2,16,18,9)(3,4)(5,8,13,12,6,7,14,11),
"t18n690"],
[(1,4,13,11)(2,3,14,12)(5,16,9,18,6,15,10,17)(7,8),(1,6,11,7)(2,5,12,8)
(3,14,16,17)(4,13,15,18)(9,10),(1,6,11,3,9,14)(2,5,12,4,10,13)
(7,16,18,8,15,17),"t18n691"],
[(1,10,16,8)(2,9,15,7)(3,17,13,12)(4,18,14,11),
(1,8,10,13,6,18,3,12,2,7,9,14,5,17,4,11)(15,16),"t18n692"],
[(1,13,6,15,12,17,7,4)(2,14,5,16,11,18,8,3)(9,10),
(1,14,3,9)(2,13,4,10)(5,15,12,8)(6,16,11,7),"t18n693"],
[(1,7,10,14,5,17,3,12,2,8,9,13,6,18,4,11)(15,16),
(1,17,9,5,2,18,10,6)(3,13,8,16,4,14,7,15)(11,12),"t18n694"],
[(1,7,3,10,17,5,2,8,4,9,18,6)(11,16,14,12,15,13),
(1,16,8,11)(2,15,7,12)(3,10,5,17,4,9,6,18),"t18n695"],
[(1,3,18)(2,4,17)(5,7,10)(6,8,9)(11,16,13,12,15,14),
(1,12,10,4,14,6,17,16,7,2,11,9,3,13,5,18,15,8),
(1,18,3,2,17,4)(5,10,8)(6,9,7)(11,16,14)(12,15,13),"t18n696"],
[(1,10)(2,16)(3,18,7,14)(4,15,8,11)(5,12,6,17)(9,13),
(1,8,4,6)(2,5,3,9)(10,11,16,15)(12,17,14,18),
(1,7,8,2)(4,6,5,9)(10,13,12,17,18,15,16,14),"t18n697"],
[(1,7,13,5,12,18,3,10,15,2,8,14,6,11,17,4,9,16),
(1,8,13,4,12,15)(2,7,14,3,11,16)(5,10,17,6,9,18),
(1,7,6,10,3,11)(2,8,5,9,4,12)(13,16,14,15),"t18n698"],
[(1,12,14,6,10,15,3,7,18,2,11,13,5,9,16,4,8,17),
(1,16,11)(2,15,12)(3,17,10,4,18,9)(5,14,8,6,13,7),"t18n699"],
[(1,8,13,2,7,14)(3,9,18)(4,10,17)(5,11,15,6,12,16),
(1,18,9,6,13,12,3,15,8,2,17,10,5,14,11,4,16,7),"t18n700"],
[(1,9,11,3,6,13,18,7,16)(2,10,12,4,5,14,17,8,15),(3,17,4,18)(5,10,6,9)(7,8)
(11,13)(12,14)(15,16),"t18n701"],
[(1,7,14,4,11,16,2,8,13,3,12,15)(5,9,17)(6,10,18),
(1,5,3)(2,6,4)(9,12)(10,11)(13,18,16,14,17,15),"t18n702"],
[(1,18,7)(2,17,8)(3,13,9,6,16,11)(4,14,10,5,15,12),
(1,13,8)(2,14,7)(3,16,9,4,15,10)(5,17,11,6,18,12),"t18n703"],
[(1,18,4)(2,17,3)(5,16)(6,15)(7,11)(8,12)(9,14,10,13),
(1,11,8,2,12,7)(3,13,9)(4,14,10)(5,18,15,6,17,16),"t18n704"],
[(1,4,2,3)(7,12)(8,11)(9,10)(13,17,16)(14,18,15),
(1,12,18,6,7,13,3,10,15,2,11,17,5,8,14,4,9,16),"t18n705"],
[(1,2)(7,10,11)(8,9,12)(13,14)(15,18)(16,17),(1,17,9,2,18,10)(3,14,12,4,13,11)
(5,16,7)(6,15,8),"t18n706"],
[(1,5)(2,6)(3,4)(7,10,12,8,9,11)(17,18),(1,13,7,3,16,11,5,17,10)
(2,14,8,4,15,12,6,18,9),"t18n707"],
[(1,9,16,5,11,18)(2,10,15,6,12,17)(3,8,14,4,7,13),
(1,7,13)(2,8,14)(3,12,18)(4,11,17)(5,9,15)(6,10,16),"t18n708"],
[(1,5)(2,6)(3,4)(7,12,9)(8,11,10)(15,17,16,18),
(1,17,8,5,16,12,2,18,7,6,15,11)(3,13,9,4,14,10),"t18n709"],
[(1,4,17,2,3,18)(5,7,9)(6,8,10)(15,16),
(1,9,13)(2,10,14)(3,8,15,17,5,12,4,7,16,18,6,11),"t18n710"],
[(5,15,9,14,8,11,6,16,10,13,7,12)(17,18),(1,14,17,11,3,15,2,13,18,12,4,16)(9,10),
"t18n711"],[(1,3)(2,4)(5,6)(7,18)(8,17)(9,14,12,15,10,13,11,16),
(1,18,7,3,16,9,5,14,12)(2,17,8,4,15,10,6,13,11),"t18n712"],
[(1,6,4,2,5,3)(7,17,9,16,8,18,10,15)(11,14)(12,13),
(1,18,3,15,5,14)(2,17,4,16,6,13)(7,11)(8,12),"t18n713"],
[(1,13,3,17)(2,14,4,18)(5,16)(6,15)(7,8),(1,2)(3,4)(5,6)(7,18)(8,17)
(9,16,11,14)(10,15,12,13),"t18n714"],
[(1,10,3,8,6,12)(2,9,4,7,5,11)(15,18)(16,17),
(1,11,14,2,12,13)(3,9,18,4,10,17)(5,7,15)(6,8,16),"t18n715"],
[(1,17,11,2,18,12)(3,15,10,4,16,9)(5,14,8)(6,13,7),
(1,13,3,15)(2,14,4,16)(5,18,6,17)(7,10)(8,9),"t18n716"],
[(1,5,15,4,7,11,17,9,13)(2,6,16,3,8,12,18,10,14),
(1,10,14,2,9,13)(3,6,15)(4,5,16)(7,11,17,8,12,18),
(1,8)(2,7)(3,6)(4,5)(9,17)(10,18)(11,16)(12,15)(13,14),"t18n717"],
[(1,3,5)(2,4,6)(7,18)(8,17)(9,15,10,16)(11,14,12,13),
(1,16,2,15)(3,13,5,17,4,14,6,18)(9,12)(10,11),"t18n718"],
[(5,8,10,6,7,9)(11,12)(13,14)(17,18),(1,13,18,16,3,12,2,14,17,15,4,11)(5,6)
(7,9)(8,10),(1,17)(2,18)(3,4)(5,15,8,13,10,12,6,16,7,14,9,11),"t18n719"]
,
[(1,16,12)(2,15,11)(3,14,10,4,13,9)(5,18,8,6,17,7),(1,14,3,16,6,18)(2,13,4,
15,5,17)(7,12,10,8,11,9),"t18n720"],
[(1,14,4,15,5,17)(2,13,3,16,6,18)(7,11,8,12),
(1,7,2,8)(3,10,6,11)(4,9,5,12)(13,14)(17,18),"t18n721"],
[(1,7)(2,9)(3,8)(4,13,5,14,6,15)(10,12,11)(16,17,18),
(1,16,11,9,5,2,18,10,8,4,3,17,12,7,6),"t18n722"],
[(1,13,3,15,2,14)(4,5)(7,11)(8,12)(9,10)(16,17),(1,7,17,6,12)(2,9,16,5,11)
(3,8,18,4,10)(13,14,15),"t18n723"],
[(1,17)(2,16)(3,18)(4,13,10,9)(5,14,11,7)(6,15,12,8),
(1,15,8,3,13,9,2,14,7)(4,6,5)(10,18,11,16,12,17),"t18n724"],
[(1,9,5)(2,8,6,3,7,4)(13,14,15),(1,15,5,18,8,11)(2,14,4,17,9,10,3,13,6,16,
7,12),"t18n725"],
[(1,11)(2,10)(3,12)(4,13,6,15,5,14)(7,17,9,16,8,18),(1,17,9,12,13,4,3,18,8,
11,15,5,2,16,7,10,14,6),(1,5,13,17,8,12)(2,4,14,16,9,10)(3,6,15,18,7,11)
,"t18n726"],
[(1,8,3,7,2,9)(4,16,6,18,5,17)(10,12,11),(1,17)(2,16,3,18)(4,13,12,9,6,15,
11,7,5,14,10,8),"t18n727"],
[(1,9,15,3,7,14)(2,8,13)(4,6)(10,12)(17,18),
(1,18)(2,17,3,16)(4,14)(5,15,6,13)(7,12,9,11)(8,10),
(1,11,2,12)(3,10)(4,13)(5,14,6,15)(7,16,8,18)(9,17),"t18n728"],
[(1,14,9,2,15,7,3,13,8)(4,18,11,5,16,10,6,17,12),
(1,9,3,7,2,8)(4,18,5,17,6,16)(10,11)(13,14),
(1,17,7,6)(2,18,8,4)(3,16,9,5)(10,15)(11,14)(12,13),"t18n729"],
[(1,16,9,6)(2,17,8,4)(3,18,7,5)(10,14,11,15)(12,13),
(1,6,15,11,9,16,3,4,13,10,8,18,2,5,14,12,7,17),"t18n730"],
[(1,16,9,4)(2,17,7,6)(3,18,8,5)(10,15,12,13,11,14),
(1,6,8,18,13,11,2,4,9,17,15,10,3,5,7,16,14,12),
(1,2,3)(4,18)(5,17)(6,16)(7,13,9,14,8,15)(10,11,12),"t18n731"],
[(1,18,3,16)(2,17)(4,15,5,13)(6,14)(7,11)(8,12,9,10),
(1,6,14,16,9,10,2,4,15,17,7,12,3,5,13,18,8,11),
(1,9,2,7,3,8)(4,6)(10,17)(11,18)(12,16)(13,15,14),"t18n732"],
[(1,5,14,12)(2,6,15,11)(3,4,13,10)(7,16,8,18)(9,17),
(1,4,14,16,9,11,3,5,15,17,7,12,2,6,13,18,8,10),"t18n733"],
[(3,17)(4,18)(5,13,9,15,8,12,6,14,10,16,7,11),(1,16,17,14,3,11,2,15,18,13,4,12)
(5,7,9)(6,8,10),(1,9,16,17,6,14,2,10,15,18,5,13)(3,8,12)(4,7,11),
"t18n734"],
[(1,5,8,18,13,12,2,6,7,17,14,11)(9,15,10,16),(1,9)(2,10)(3,17,14,8,6,16,4,18,
13,7,5,15)(11,12),"t18n735"],
[(1,11,13,8,2,12,15,9,3,10,14,7)(4,6,5),(1,18,8,5,13,3,16,7,6,14)
(2,17,9,4,15)(10,12),"t18n736"],
[(1,18,9,17,8,16,6,11)(2,13,4,15,7,12,5,10)(3,14),(2,7,8,5,9,4,3,6)(10,17)
(11,15)(16,18),"t18n737"],
[(1,5)(2,6,3,4)(7,11)(8,10,9,12)(13,17)(14,16,15,18),
(1,12,17,4,7,15,3,11,18,5,8,14,2,10,16,6,9,13),
(1,9,18)(2,8,17,3,7,16)(4,10,15)(5,12,14,6,11,13),"t18n738"],
[(10,11,12)(13,14,15)(16,17,18),(1,4,2,5,3,6)(7,10,9,12,8,11)(13,18)(14,16)(15,17)
,(1,12,3,10,2,11)(4,9,5,7,6,8)(13,18)(14,17)(15,16),
(1,17,7)(2,16,8,3,18,9)(4,13,10)(5,15,12,6,14,11),"t18n739"],
[(16,17,18),(2,3)(4,18)(5,17)(6,16)(7,15,8,14,9,13)(10,12),
(1,7,14)(2,9,15,3,8,13)(4,11,17,5,12,18)(6,10,16),
(1,12,2,11,3,10)(4,5)(7,8)(13,14)(17,18),"t18n740"],
[(1,12,18,6,9,15)(2,11,17,4,8,14,3,10,16,5,7,13),(1,9,3,7)(2,8)(4,11,5,12)
(6,10)(13,14)(17,18),"t18n741"],
[(1,14,9,2,13,7,3,15,8)(4,18,12,6,17,11,5,16,10),
(1,17,8,2,18,9,3,16,7)(4,13,10)(5,15,11)(6,14,12),
(1,17,11,6,15,8,2,16,12,4,13,9,3,18,10,5,14,7),"t18n742"],
[(1,5,3,6,2,4)(7,11)(8,12)(9,10)(13,14,15),
(1,13,11,3,15,10)(2,14,12)(4,18,8,6,16,9)(5,17,7),
(1,2,3)(4,6,5)(7,12,8,11,9,10)(13,16,14,17,15,18),"t18n743"],
[(1,8,15)(2,9,14)(3,7,13)(4,18,12)(5,17,10)(6,16,11),
(1,7,5,2,9,4,3,8,6)(10,14,16)(11,13,17,12,15,18),"t18n744"],
[(1,9,6,2,7,5,3,8,4)(10,16,15,12,17,14,11,18,13),
(1,17,7,13,5,10)(2,18,9,15,6,12)(3,16,8,14,4,11),"t18n745"],
[(1,2)(4,6)(7,11)(8,10,9,12)(13,18,14,17)(15,16),
(1,9,13)(2,8,15)(3,7,14)(4,11,17,5,10,18,6,12,16),"t18n746"],
[(1,17,7,4,15,10,2,16,8,5,14,12,3,18,9,6,13,11),
(1,11,17,2,12,18,3,10,16)(4,7,13)(5,8,15)(6,9,14),"t18n747"],
[(1,5,8,3,6,7,2,4,9)(10,16,15,12,17,13,11,18,14),
(1,10,4,3,12,5)(2,11,6)(7,14,18,9,13,17,8,15,16),"t18n748"],
[(1,5,3,4,2,6)(7,17)(8,16,9,18)(10,14,12,13)(11,15),
(1,9,15,3,8,13,2,7,14)(4,12,16)(5,11,17,6,10,18),"t18n749"],
[(1,17,3,16)(2,18)(4,14,5,13)(6,15)(7,8,9)(10,11),
(1,11,3,12,2,10)(4,9)(5,7)(6,8)(13,16,14,17,15,18),"t18n750"],
[(1,2)(7,17,8,16)(9,18)(10,14)(11,13,12,15),(1,12,3,11,2,10)(4,9)(5,7)(6,8)
(13,17,15,18)(14,16),"t18n751"],
[(1,11,3,10)(2,12)(4,16)(5,18,6,17)(7,13,9,14)(8,15),
(1,9,6,12,17,15,2,7,4,10,16,14,3,8,5,11,18,13),"t18n752"],
[(1,16,12)(2,18,11)(3,17,10)(4,15,8,5,13,7,6,14,9),
(1,14,12,3,13,11,2,15,10)(4,16,9,6,17,7,5,18,8),"t18n753"],
[(1,9,3,8)(2,7)(4,10)(5,12,6,11)(13,15,14)(16,18,17),
(1,16,6,15,2,18,4,14,3,17,5,13)(7,12)(8,10)(9,11),"t18n754"],
[(1,18,12)(2,17,10)(3,16,11)(4,15,7,6,13,8,5,14,9),
(1,6,2,4,3,5)(7,16,10,14,9,18,11,13,8,17,12,15),
(1,2,3)(7,18,9,16,8,17)(10,15,12,14,11,13),"t18n755"],
[(1,4)(2,6,3,5)(8,9)(11,12)(13,17,15,18)(14,16),
(1,3,2)(4,5,6)(7,13,8,15,9,14)(10,18,12,17,11,16),
(1,11,16,2,10,18,3,12,17)(4,8,13)(5,7,14)(6,9,15),"t18n756"],
[(1,11)(2,12,3,10)(4,8,6,7)(5,9)(13,15,14)(16,18),
(1,18,4,15,2,17,6,14,3,16,5,13)(7,12)(8,11,9,10),"t18n757"],
[(1,12,18)(2,10,16)(3,11,17)(4,9,15,6,8,13,5,7,14),
(1,2)(7,18)(8,17,9,16)(10,14,11,15)(12,13),"t18n758"],
[(1,15,4,16,3,13,5,18,2,14,6,17)(7,9)(10,11),(1,18,12,3,17,11,2,16,10)(4,13,9)
(5,14,8)(6,15,7),"t18n759"],
[(1,4,3,5)(2,6)(7,18,10,13)(8,17,11,15,9,16,12,14),
(1,16,5,14,3,17,4,13)(2,18,6,15)(7,11,9,12)(8,10),"t18n760"],
[(1,7,4,3,9,5,2,8,6)(10,17,15)(11,18,13)(12,16,14),
(1,12)(2,10)(3,11)(4,18,5,17)(6,16)(7,14,8,15)(9,13),"t18n761"],
[(1,10)(2,12)(3,11)(4,8,6,7,5,9)(13,18,15,17,14,16),
(1,3,2)(5,6)(7,16,10,14,9,18,11,13)(8,17,12,15),"t18n762"],
[(1,3,16,18,9,7,13,5,2,4,15,17,10,8,14,6),
(1,8,13)(2,7,14)(3,17,16,11,9,6,4,18,15,12,10,5),
(1,18,7,5,13,11)(2,17,8,6,14,12)(3,16,10)(4,15,9),"t18n763"],
[(1,7,18,5,3,9,2,8,17,6,4,10)(11,16,13,12,15,14),
(1,11,18,16,3,13,2,12,17,15,4,14)(5,9,7)(6,10,8),"t18n764"],
[(1,11,14)(2,12,13)(3,8,16,5,9,18,4,7,15,6,10,17),
(1,17,11,4,15,7,2,18,12,3,16,8)(5,13,9,6,14,10),"t18n765"],
[(1,5,12,18,8,16,2,6,11,17,7,15)(3,9,14)(4,10,13),
(3,17,4,18)(5,8,6,7)(11,16)(12,15)(13,14),(1,17,4)(2,18,3)(9,10)(11,13,16)
(12,14,15),"t18n766"],
[(1,5,2,6)(7,10,11)(8,9,12)(15,17)(16,18),(1,11,18,2,12,17)(3,8,16,5,9,13,4,
7,15,6,10,14),(1,14,10,2,13,9)(3,18,7,4,17,8)(5,16,11,6,15,12),"t18n767"
],
[(1,17,9,3,13,12,6,16,8,2,18,10,4,14,11,5,15,7),(1,15,9,5,13,11)(2,16,10,6,
14,12)(3,17,8,4,18,7),"t18n768"],
[(1,11,5,9,3,8)(2,12,6,10,4,7)(13,17,16)(14,18,15),
(1,16,9,2,15,10)(3,14,7,4,13,8)(5,18,11,6,17,12),"t18n769"],
[(1,8)(2,7)(3,9,5,11)(4,10,6,12)(13,14)(17,18),
(1,8,18,2,7,17)(3,11,15,6,9,14)(4,12,16,5,10,13),
(1,8,17,4,10,15,5,11,13)(2,7,18,3,9,16,6,12,14),"t18n770"],
[(1,8,11,17,10,15,2,7,12,18,9,16)(3,5,13,4,6,14),(1,4)(2,3)(5,11,8,16,10,13)
(6,12,7,15,9,14),"t18n771"],
[(1,12,7)(2,11,8)(3,13,10)(4,14,9)(5,17,15)(6,18,16),
(1,15,6,18,13,10,4,12,8,2,16,5,17,14,9,3,11,7),
(1,8,18,10,3,6)(2,7,17,9,4,5)(11,16,12,15),"t18n772"],
[(1,11,6,8,2,12,5,7)(3,9,4,10)(13,14),(1,13,2,14)(3,16,5,18,4,15,6,17)
(7,10,8,9),"t18n773"],
[(1,10,12)(2,9,11)(3,8,13,18,5,16,4,7,14,17,6,15),
(1,11,2,12)(3,15)(4,16)(5,6)(7,10)(8,9)(13,18)(14,17),"t18n774"],
[(1,8,14)(2,7,13)(3,5,15,18,9,11,4,6,16,17,10,12),
(1,18,3,2,17,4)(5,11)(6,12)(7,14)(8,13)(9,15,10,16),"t18n775"],
[(1,7,13,6,12,17,2,8,14,5,11,18)(3,10,15,4,9,16),
(1,5)(2,6)(7,16,8,15)(9,14,10,13)(11,17)(12,18),"t18n776"],
[(3,4)(5,6)(7,18,9,13,12,16)(8,17,10,14,11,15),
(1,18,12)(2,17,11)(3,16,10,5,13,7)(4,15,9,6,14,8),"t18n777"],
[(1,16,17,11,3,13)(2,15,18,12,4,14)(5,7)(6,8)(9,10),
(1,6,14,2,5,13)(3,9,16,18,7,11,4,10,15,17,8,12),"t18n778"],
[(1,6)(2,5)(3,4)(7,15,8,16)(9,17,10,18)(11,14)(12,13),
(1,13,4,17)(2,14,3,18)(5,15,6,16)(7,11,8,12),"t18n779"],
[(1,15,5,14,3,18)(2,16,6,13,4,17)(7,8)(9,11)(10,12),
(1,9,15,6,11,14)(2,10,16,5,12,13)(3,7,17)(4,8,18),"t18n780"],
[(1,15,6,13)(2,16,5,14)(3,18,4,17)(9,10),(5,6)(7,16,10,13)(8,15,9,14)
(11,17,12,18),(1,2)(7,12,9,8,11,10)(13,14),"t18n781"],
[(1,15,5,18,2,16,6,17)(3,13,4,14)(7,8)(9,11,10,12),
(1,15,10,2,16,9)(3,18,12,4,17,11)(5,14,8,6,13,7),
(3,4)(5,6)(7,12,8,11)(9,10)(13,16,14,15)(17,18),"t18n782"],
[(1,5)(2,6)(7,13,9,15,12,18)(8,14,10,16,11,17),
(1,15,4,14)(2,16,3,13)(5,17,6,18)(7,10,8,9)(11,12),"t18n783"],
[(1,17,7,5,16,11,4,13,10,2,18,8,6,15,12,3,14,9),
(1,3,6,2,4,5)(7,16,11,14,8,15,12,13)(9,17,10,18),"t18n784"],
[(1,15,6,17)(2,16,5,18)(3,14)(4,13)(7,9,11,8,10,12),
(1,6,4)(2,5,3)(7,16)(8,15)(9,14)(10,13)(11,17)(12,18),"t18n785"],
[(1,15,9)(2,16,10)(3,11,6,4,12,5)(7,17,14,8,18,13),
(1,5,15,18,7,13,4,9,12)(2,6,16,17,8,14,3,10,11),
(1,16,8,17,13,5,4,11,9)(2,15,7,18,14,6,3,12,10),"t18n786"],
[(1,4,2,6,3,5)(7,10)(8,12)(9,11)(13,16)(14,17)(15,18),
(1,17,10,9,5,3,16,12,7,6,2,18,11,8,4)(13,14,15),"t18n787"],
[(1,12,7,15,6)(2,11,9,14,4)(3,10,8,13,5),
(1,2)(4,15,18,8,10)(5,14,17,7,12,6,13,16,9,11),"t18n788"],
[(1,7,4,12,15,3,9,6,11,14,2,8,5,10,13)(16,17,18),
(1,8)(2,7)(3,9)(4,17,5,18,6,16)(10,13,11,15,12,14),"t18n789"],
[(1,7,16,5,12)(2,9,18,6,11)(3,8,17,4,10)(13,15,14),
(1,5,11,16,14,2,4,10,17,13)(3,6,12,18,15)(7,9),"t18n790"],
[(1,16,6)(2,17,4)(3,18,5)(7,14,12)(8,13,10)(9,15,11),
(1,5,2,6,3,4)(7,14,12,17,9,15,11,16,8,13,10,18),"t18n791"],
[(1,7,6,9)(2,4,8,3)(11,14,13,18,15,16)(12,17),(1,12)(2,14,8,15,9,13,3,18)
(4,11,6,17,7,16,5,10),"t18n792"],
[(1,12,4,14,2,10,6,13,3,11,5,15)(7,18,8,16,9,17),
(1,18,8,13,3,17,9,15,2,16,7,14)(4,10,5,12)(6,11),"t18n793"],
[(1,12,14,5,2,10,13,6,3,11,15,4)(7,16,8,18)(9,17),
(1,7,2,9,3,8)(4,16,11,5,18,10)(6,17,12)(13,15),"t18n794"],
[(1,4)(2,6)(3,5)(7,12,14,16)(8,10,15,18)(9,11,13,17),
(1,18,13,4,7,12)(2,16,15,6,8,11,3,17,14,5,9,10),"t18n795"],
[(16,17,18),(2,3)(4,11,6,12,5,10)(8,9)(13,14),(1,7,14)(2,9,15,3,8,13)(4,6)
(11,12)(16,18),(1,18)(2,16)(3,17)(4,14,5,15,6,13)(7,10,8,12,9,11),"t18n796"
],
[(1,13,7,2,15,8)(3,14,9)(4,10,5,11,6,12)(16,17),(1,3,2)(4,5,6)(7,14,8,15,
9,13)(16,17,18),(1,6,8,12,15,17,3,5,7,10,14,16,2,4,9,11,13,18),"t18n797"]
,
[(1,11,2,10,3,12)(4,13,5,15,6,14)(7,16,9,17,8,18),(1,7,2,9,3,8)(10,18,11,17,
12,16)(13,15,14),(1,14,4,17,8,10)(2,13,5,18,7,11,3,15,6,16,9,12),"t18n798"
],
[(1,13,3,9,2,14,4,10)(5,16,11,8)(6,15,12,7),(1,7,12,2,8,11)(3,10,13,4,9,14)
(5,15,17,6,16,18),"t18n799"],
[(1,15,4,14,18,11,2,16,3,13,17,12)(5,9,6,10),
(1,17,16,4,7,10,11,5)(2,18,15,3,8,9,12,6)(13,14),"t18n800"],
[(1,11,15)(2,12,16)(3,8,18)(4,7,17)(5,10,14)(6,9,13),
(3,16,12,8,17,6,10,13)(4,15,11,7,18,5,9,14),"t18n801"],
[(1,10,16,13,6,3,17,2,9,15,14,5,4,18)(7,8),(1,14,2,13)(3,7,4,8)(5,9)
(6,10)(11,18)(12,17),"t18n802"],
[(1,17,10,4,15,8,3,16,11,5,14,7)(2,18,12,6,13,9),
(1,17,7,2,16,9)(3,18,8)(4,13,10,5,15,12)(6,14,11),"t18n803"],
[(10,11,12)(13,14,15)(16,17,18),(1,6,2,4,3,5)(8,9)(13,14),
(1,18,10,2,16,11)(3,17,12)(4,15,8,6,14,9)(5,13,7),"t18n804"],
[(1,18,12)(2,16,11,3,17,10)(4,15,7,5,13,9)(6,14,8),
(1,12,14)(2,11,13,3,10,15)(4,8,17)(5,9,16)(6,7,18),"t18n805"],
[(1,3,2)(4,5)(11,12)(14,15)(16,17),(1,5,7,10,14,18,2,4,8,11,13,17,3,6,9,12,
15,16),"t18n806"],
[(1,10,14,6,7,18)(2,12,15,4,8,17)(3,11,13,5,9,16),(1,13,10,6,17,7,3,14,12,4,
18,9,2,15,11,5,16,8),(1,14,12,2,15,10,3,13,11)(4,16,7,5,18,9,6,17,8),
"t18n807"],
[(2,3)(5,6)(7,8,9)(10,11,12)(13,14)(16,18),(1,5,8,10,14,17)(2,6,7,12,15,16,3,
4,9,11,13,18),"t18n808"],
[(1,6,2,5,3,4)(7,9)(10,12,11)(13,17,15,16,14,18),
(1,16,12,3,17,10)(2,18,11)(4,15,7,5,13,9)(6,14,8),"t18n809"],
[(1,10,18,2,11,16,3,12,17)(4,8,14,6,7,13,5,9,15),
(1,13,8,4,17,11,2,14,9,5,16,10)(3,15,7,6,18,12),"t18n810"],
[(1,14,8,4,18,10,3,13,9,6,16,11)(2,15,7,5,17,12),(1,16,2,18)(3,17)(4,14,5,15)
(6,13)(7,9),(1,14)(2,15)(3,13)(4,18,6,16,5,17)(7,12,8,11)(9,10),
"t18n811"],
[(1,7,18,4,11,13)(2,9,17,6,10,14,3,8,16,5,12,15),(1,7,17,3,8,16,2,9,18)
(4,10,13,5,12,15,6,11,14),"t18n812"],
[(1,15,11,6,16,9)(2,13,10,5,17,7)(3,14,12,4,18,8),
(1,3)(4,5,6)(7,8,9)(13,17)(14,18,15,16),"t18n813"],
[(1,15,8,2,13,7)(3,14,9)(4,16,12,6,18,10,5,17,11),
(1,6,3,4)(2,5)(7,11)(8,10)(9,12)(13,15,14)(16,17,18),"t18n814"],
[(1,2)(4,5,6)(7,15,12,18)(8,13,11,16,9,14,10,17),
(1,18,11,2,17,12)(3,16,10)(4,13,8)(5,15,9,6,14,7),"t18n815"],
[(1,9,16,3,8,17)(2,7,18)(4,11,14)(5,12,13,6,10,15),
(1,3)(4,6,5)(7,14)(8,13,9,15)(10,16,12,17)(11,18),"t18n816"],
[(1,8,17,11,3,9,16,10,2,7,18,12)(4,13)(5,15)(6,14),
(1,12,15,3,11,13,2,10,14)(4,17,8,5,18,9)(6,16,7),
(1,12,18,8,3,10,17,9,2,11,16,7)(4,15,5,13)(6,14),"t18n817"],
[(1,8,2,7,3,9)(4,11,6,12,5,10)(13,16)(14,17,15,18),
(1,18,6,13,3,17,5,15,2,16,4,14)(7,8,9)(10,12),"t18n818"],
[(1,16,7,2,18,9,3,17,8)(4,15,11,5,14,12,6,13,10),
(1,4,3,6,2,5)(7,16)(8,17,9,18)(10,13,12,14)(11,15),
(1,15,11,4,16,7)(2,14,10,5,18,8)(3,13,12,6,17,9),"t18n819"],
[(1,18,4,13,2,16,6,14,3,17,5,15)(8,9)(10,12),
(1,13,11,3,14,10)(2,15,12)(4,18,7,6,17,9)(5,16,8),"t18n820"],
[(1,17)(2,16,3,18)(4,13)(5,15,6,14)(7,8)(11,12),(1,10,3,11)(2,12)(4,8,6,9)
(5,7)(13,14,15)(16,18,17),(1,14,7)(2,13,9)(3,15,8)(4,18,12)(5,16,10)
(6,17,11),"t18n821"],
[(1,7,6,3,8,5,2,9,4)(10,15,16,12,13,18,11,14,17),(1,2,3)(4,11,5,12,6,10)
(7,15)(8,13)(9,14)(16,17,18),(1,7,4)(2,9,6)(3,8,5)(10,14,16,11,13,17)
(12,15,18),"t18n822"],
[(1,11,16,8,2,10,17,9)(3,12,18,7)(4,13)(5,15)(6,14),
(1,13,16,6,3,14,17,5)(2,15,18,4)(7,10,9,11)(8,12),"t18n823"],
[(1,10,5,7,2,11,6,9)(3,12,4,8)(13,15,14),(1,17,4,14,2,16,5,13)(3,18,6,15)
(7,9)(10,12),"t18n824"],
[(1,2)(7,18,12,14)(8,16,11,15,9,17,10,13),(1,8)(2,9)(3,7)(4,11,5,10,6,12)
(16,17,18),"t18n825"],
[(1,5,3,6)(2,4)(7,18,10,14,8,16,12,15,9,17,11,13),(1,15)(2,14,3,13)
(4,18,6,16)(5,17)(7,8)(10,12,11),(1,15)(2,14)(3,13)(4,16,6,17,5,18)(8,9),
"t18n826"],
[(16,17,18),(4,5)(16,18),(1,6,2,4,3,5)(7,16,8,17,9,18)(10,14)(11,13)(12,15),
(1,8,14)(2,9,13,3,7,15)(4,11,16)(5,10,18,6,12,17),"t18n827"],
[(1,7,16)(2,9,18)(3,8,17)(4,12,13,6,11,14,5,10,15),
(1,10,4,7,3,12,6,8,2,11,5,9)(13,16)(14,17)(15,18),
(1,6)(2,5)(3,4)(7,8)(11,12)(13,14,15)(16,17,18),"t18n828"],
[(1,12,6,7)(2,11,5,8)(3,10,4,9)(13,18,15,17,14,16),
(1,17,6,13,3,16,5,14,2,18,4,15)(7,11,8,12,9,10),
(1,2)(4,5)(10,12,11)(16,17,18),"t18n829"],
[(1,16)(2,17)(3,18)(4,15)(5,13)(6,14)(7,10,9,12)(8,11),
(1,11)(2,12)(3,10)(4,7,6,9)(5,8)(13,16,14,18,15,17),"t18n830"],
[(1,7,3,9,2,8)(4,5,6)(10,13)(11,15,12,14)(17,18),
(1,16)(2,17,3,18)(4,13)(5,15,6,14)(7,10)(8,12)(9,11),"t18n831"],
[(1,14)(2,13,3,15)(4,10,6,11)(5,12)(7,18,9,17,8,16),
(1,4,2,5,3,6)(7,9)(10,12)(13,16,15,17,14,18),"t18n832"],
[(1,4,11,2,5,10)(3,6,12)(7,18,15)(8,17,13)(9,16,14),
(1,14,17,4)(2,15,18,6,3,13,16,5)(7,11,8,10)(9,12),"t18n833"],
[(1,17,7,4,14,12)(2,18,8,6,13,10)(3,16,9,5,15,11),
(1,7,2,9)(3,8)(4,10)(5,12,6,11)(13,17)(14,18)(15,16),
(1,18,9)(2,17,7)(3,16,8)(4,13,10,5,14,12,6,15,11),"t18n834"],
[(1,12,8,18,16,5,4,14,10,2,11,7,17,15,6,3,13,9),(1,2)(3,18)(4,17)(5,7,6,8)
(11,15,12,16),(1,12,4,15,18,14,2,11,3,16,17,13)(5,10)(6,9)(7,8),"t18n835"],
[(1,14,4,17,2,13,3,18)(5,16,6,15)(7,12,9)(8,11,10),
(1,5,4)(2,6,3)(7,13,9,17,11,15)(8,14,10,18,12,16),
(1,10,6,8,3,12)(2,9,5,7,4,11)(13,16,18,14,15,17),"t18n836"],
[(9,10)(11,12)(15,16)(17,18),(1,2)(7,8)(13,14),(1,3)(2,4)(7,8)(13,14),
(1,11,2,12)(3,7,4,8)(5,9)(6,10)(13,14),
(1,15,9,3,18,11,6,14,7)(2,16,10,4,17,12,5,13,8),"t18n837"],
[(1,3)(2,4)(5,6)(7,10,8,9)(11,14,15,12,13,16)(17,18),
(1,11,9)(2,12,10)(3,15,6,4,16,5)(7,17,13,8,18,14),
(1,14,8,4,15,9,2,13,7,3,16,10)(5,18,11,6,17,12),"t18n838"],
[(1,2)(3,18,4,17)(5,6)(7,9,8,10)(11,13,15,12,14,16),
(1,5,13,2,6,14)(3,7,11,4,8,12)(9,16,18)(10,15,17),
(1,17,4,2,18,3)(11,14,15)(12,13,16),"t18n839"],
[(1,6,11,18,9,13)(2,5,12,17,10,14)(3,8,15,4,7,16),
(1,13,7)(2,14,8)(3,11,5)(4,12,6)(9,17,15)(10,18,16),
(1,5,12,2,6,11)(3,7,15)(4,8,16)(9,13,17,10,14,18),"t18n840"],
[(1,12,9,2,11,10)(3,13,7)(4,14,8)(5,18,16,6,17,15),
(1,4)(2,3)(5,14,8,12,6,13,7,11)(9,15,10,16)(17,18),"t18n841"],
[(1,9,11,3,7,13,18,6,15)(2,10,12,4,8,14,17,5,16),(1,8,17,9,2,7,18,10)(3,5)
(4,6)(11,14,15)(12,13,16),"t18n842"],
[(1,2)(5,15,7,13,9,12,6,16,8,14,10,11),(1,11,9)(2,12,10)(3,16,7)(4,15,8)
(5,18,13)(6,17,14),"t18n843"],
[(1,12,9,3,14,5,17,16,7)(2,11,10,4,13,6,18,15,8),
(1,16)(2,15)(3,11,18,13)(4,12,17,14)(5,7,9)(6,8,10),
(3,17,4,18)(5,6)(7,8)(13,16,14,15),"t18n844"],
[(1,5,9,16,13,10,2,6,8,17,15,12,3,4,7,18,14,11),
(1,10)(2,12)(3,11)(4,9)(5,8)(6,7)(13,15)(16,17),
(1,4,3,6,2,5)(7,12,8,10,9,11)(13,18,14,17,15,16),"t18n845"],
[(1,15,3,13)(2,14)(4,12,5,11)(6,10)(7,16,9,17)(8,18),
(1,3,2)(4,11,8,18,14,6,12,9,16,13,5,10,7,17,15),"t18n846"],
[(1,3,2)(4,17,13,9,10,5,18,15,7,11,6,16,14,8,12),
(1,11,14,2,12,13,3,10,15)(4,16,5,17,6,18)(7,8,9),"t18n847"],
[(1,6,9,14,17,2,4,7,13,18,3,5,8,15,16)(10,12,11),
(1,6,11,9,16,14,2,5,12,8,17,15,3,4,10,7,18,13),"t18n848"],
[(1,5,11,18,7,2,6,12,16,8,3,4,10,17,9)(13,14,15),
(1,3)(4,18,14,11,8,5,17,13,10,9)(6,16,15,12,7),"t18n849"],
[(1,17)(2,18,3,15,7,12)(4,10,9,13,8,16)(5,14)(6,11),
(1,9,6,8,5,4)(2,3,7)(10,13,14,15,11,17,16,12),"t18n850"],
[(1,16)(2,14,8,12,6,10,4,15,9,18,3,11,5,13,7,17),
(1,8,5)(2,6,3)(4,9,7)(10,15,11,12)(13,16,17,14),"t18n851"],
[(1,4,2,5,3,6)(10,18,13,11,17,14)(12,16,15),(1,13,9,16,3,14,7,17,2,15,8,18)
(4,12,5,11,6,10),(1,9,4,2,7,5)(3,8,6)(10,11)(13,18,15,16,14,17),
"t18n852"],
[(1,8,5,2,7,6,3,9,4)(10,14,18)(11,15,16)(12,13,17),(1,15,8,12,6,18,3,14,9,10,
4,17,2,13,7,11,5,16),"t18n853"],
[(1,7,15,5,9,4,13,18)(2,8,16,6,10,3,14,17),
(1,8,17)(2,7,18)(3,13,15)(4,14,16)(5,12,10,6,11,9),
(1,7,9,15,12,18,2,8,10,16,11,17)(3,14,6,4,13,5),"t18n854"],
[(1,3,14,17,9,11,8,16,5,2,4,13,18,10,12,7,15,6),
(1,18,16,12,13,6,8,3,10)(2,17,15,11,14,5,7,4,9),"t18n855"],
[(1,9,17,15,4,2,8,16,13,5,3,7,18,14,6)(10,11,12),
(1,2,3)(4,18,9,10,15,5,17,8,12,13,6,16,7,11,14),"t18n856"],
[(1,16,13,12,8,4,3,17,14,11,9,5,2,18,15,10,7,6),
(1,7,15)(2,9,14,3,8,13)(4,11,17)(5,10,18)(6,12,16),"t18n857"],
[(1,14,12,4,17,8)(2,15,10,5,18,9)(3,13,11,6,16,7),
(1,5)(2,4,3,6)(8,9)(10,12,11)(13,18)(14,17,15,16),"t18n858"],
[(1,9,15)(2,8,14,3,7,13)(4,11,18,6,10,17,5,12,16),
(1,8,17,6,10,13,3,9,16,4,12,15)(2,7,18,5,11,14),"t18n859"],
[(1,6,2,4,3,5)(7,8,9)(10,11)(14,15),
(1,14,7,4,18,11)(2,13,8,6,16,12,3,15,9,5,17,10),"t18n860"],
[(1,6,3,5,2,4)(7,13,12,16)(8,15,10,18)(9,14,11,17),
(1,15,12,5,17,8)(2,14,11,6,18,7,3,13,10,4,16,9),"t18n861"],
[(1,9,14)(2,7,15,3,8,13)(4,12,18,6,11,17,5,10,16),
(1,10,14,3,12,15)(2,11,13)(4,7,17,6,9,18)(5,8,16),
(1,12,5,8)(2,10,6,7,3,11,4,9)(13,17,15,16,14,18),"t18n862"],
[(13,14,15)(16,17,18),(1,2)(7,8)(13,14),(1,8,3,9)(2,7)(4,11,6,10)(5,12),
(1,11,14,3,12,13)(2,10,15)(4,7,18,6,9,16)(5,8,17),"t18n863"],
[(1,7,17,6,10,15,2,9,16,4,12,14,3,8,18,5,11,13),
(1,4,3,6,2,5)(8,9)(10,12,11)(14,15),
(5,6)(7,15,10,16)(8,13,12,17,9,14,11,18),"t18n864"],
[(1,8,18,6,11,13,3,9,16,4,10,15,2,7,17,5,12,14),
(1,16,11,5,15,7,3,18,10,4,14,9,2,17,12,6,13,8),
(1,15,4,17,2,14,5,16,3,13,6,18)(7,12,8,11,9,10),"t18n865"],
[(1,16,14,10,8,4)(2,18,13,11,9,5,3,17,15,12,7,6),
(1,9)(2,8,3,7)(4,6)(10,18)(11,16,12,17)(13,15),"t18n866"],
[(1,15,12,4,18,7,3,14,11,6,16,9)(2,13,10,5,17,8),
(1,18,5,14,3,16,6,13)(2,17,4,15)(7,10,8,12)(9,11),"t18n867"],
[(16,17,18),(1,3)(16,18),(1,6,2,4,3,5)(7,16,8,17,9,18)(10,14)(11,13)(12,15),
(1,14,9,2,15,7,3,13,8)(4,16,10,5,18,11,6,17,12),
(1,15,3,14)(2,13)(4,12,5,10)(6,11),"t18n868"],
[(1,4)(2,5,3,6)(7,18,10,15,9,17,11,14,8,16,12,13),
(1,13,11,6,16,8,2,14,10,5,17,9)(3,15,12,4,18,7),"t18n869"],
[(1,3)(4,6,5)(7,17,10,15,8,16,12,13)(9,18,11,14),
(1,16,10,4,14,7,3,17,12,5,13,8)(2,18,11,6,15,9),
(1,16,3,18)(2,17)(4,14,6,15)(5,13)(7,10)(8,12)(9,11),"t18n870"],
[(1,11,15,6,7,17,3,10,13,5,9,18,2,12,14,4,8,16),
(1,6,2,4,3,5)(7,11,9,10,8,12)(13,18,14,17,15,16),
(1,12,4,7,3,10,6,9,2,11,5,8)(14,15)(16,17,18),"t18n871"],
[(4,5)(7,14,8,13,9,15)(10,17)(11,18)(12,16),(1,14,4,18,3,15,5,16)(2,13,6,17)
(8,9)(11,12),"t18n872"],
[(1,12,13,3,10,14)(2,11,15)(4,7,18,6,8,17,5,9,16),
(1,5)(2,4)(3,6)(7,18,8,17)(9,16)(10,15,12,13)(11,14),"t18n873"],
[(1,14,7)(2,13,8)(3,15,9)(4,16,12,5,17,10)(6,18,11),
(1,10,2,11,3,12)(4,7,5,9,6,8)(13,18,14,17)(15,16),
(1,8,13,3,7,14,2,9,15)(4,10,16,6,11,18,5,12,17),"t18n874"],
[(1,4,9,12,14,17)(2,5,8,11,15,18)(3,6,7,10,13,16),
(1,11,3,10,2,12)(4,8,5,9,6,7)(13,16,15,18)(14,17),"t18n875"],
[(1,17,13,11,7,6,3,16,15,10,8,4)(2,18,14,12,9,5),
(1,7,3,9)(2,8)(4,5)(10,16,11,17)(12,18)(13,14,15),"t18n876"],
[(1,15,6,17)(2,13,4,16,3,14,5,18)(7,9,8)(10,11,12),
(1,8,5,12,3,7,4,10)(2,9,6,11)(16,17),"t18n877"],
[(1,13,9,2,14,7)(3,15,8)(4,16,11,6,18,10)(5,17,12),
(1,14,8)(2,15,7,3,13,9)(4,16,12)(5,17,10,6,18,11),
(1,3,2)(4,14)(5,15,6,13)(7,18,9,17,8,16)(10,12),"t18n878"],
[(1,6,14)(2,5,13)(3,9,15,4,10,16)(7,12,18,8,11,17),
(1,4,17)(2,3,18)(7,8)(9,10)(11,16,14,12,15,13),
(1,14,5)(2,13,6)(3,15,10,17,11,8)(4,16,9,18,12,7),"t18n879"],
[(1,6,18,10,3,8,2,5,17,9,4,7),(1,16,17,14,4,11)(2,15,18,13,3,12)(5,6),
(1,18)(2,17)(5,14,8,16,10,11)(6,13,7,15,9,12),"t18n880"],
[(17,18),(1,4,2,3)(5,11)(6,12)(7,13)(8,14)(9,15)(10,16)(17,18),
(1,4,17)(2,3,18),(1,7,13)(2,8,14)(3,10,16,4,9,15)(5,12,18,6,11,17),
"t18n881"],
[(1,7,16,17,6,14,4,9,11,2,8,15,18,5,13,3,10,12),(1,10,4,8)(2,9,3,7)
(5,17,6,18)(11,14,12,13)(15,16),"t18n882"],
[(1,9,4,8)(2,10,3,7)(5,18)(6,17)(11,12)(13,15,14,16),
(1,16)(2,15)(3,11,17,13,4,12,18,14)(5,7,9,6,8,10),"t18n883"],
[(1,3,17)(2,4,18)(5,12,7,13,6,11,8,14)(9,15)(10,16),
(1,16,3,12)(2,15,4,11)(5,6)(7,9)(8,10)(13,17)(14,18),
(1,18,3,2,17,4)(5,16)(6,15)(7,13)(8,14)(9,12)(10,11),"t18n884"],
[(9,10)(11,16,13,12,15,14),(1,2)(7,8)(11,15)(12,16)(17,18),
(1,6)(2,5)(3,8)(4,7)(9,17,10,18)(11,12)(13,14)(15,16),
(1,8,14)(2,7,13)(3,10,15)(4,9,16)(5,11,18)(6,12,17),
(1,18,4,2,17,3)(9,10)(11,12)(13,14),"t18n885"],
[(1,5,12,15,17,8)(2,4,10,13,18,7)(3,6,11,14,16,9),
(1,6,7,13,10,17)(2,4,8,15,11,18)(3,5,9,14,12,16),"t18n886"],
[(1,17)(2,18)(3,7,14)(4,8,13)(9,12)(10,11),
(1,14,5,3,12,15,9,2,13,6,4,11,16,10)(7,17)(8,18),"t18n887"],
[(1,10,5,13,11,17,16,2,9,6,14,12,18,15)(3,4)(7,8),
(1,2)(3,12,5,7,18,4,11,6,8,17)(9,13,16,10,14,15),"t18n888"],
[(1,12,2,16,9,11)(3,10,4,14,5,15)(6,18,7,13,8,17),
(1,18,3,13)(2,16,4,11)(5,15,9,14)(6,12)(7,10)(8,17),
(1,10)(2,15,8,11,9,14,3,18)(4,17,6,16,7,12,5,13),"t18n889"],
[(1,15,9,8,4,12,2,16,10,7,3,11)(13,17,14,18),
(1,12)(2,11)(3,14,4,13)(5,17,6,18)(7,16,8,15)(9,10),"t18n890"],
[(1,17,9,4,13,10,2,16,8,5,15,11,3,18,7,6,14,12),
(1,15,9)(2,14,7,3,13,8)(4,12,17,6,10,18)(5,11,16),
(1,7,15)(2,8,14)(3,9,13)(11,12)(16,18),"t18n891"],
[(4,16,11)(5,18,10,6,17,12)(7,9,8)(13,14),(1,10,13,5,7,17,3,12,14,6,8,16)
(2,11,15,4,9,18),"t18n892"],
[(1,2)(7,9)(10,17,14,11,18,15,12,16,13),(1,13,8,17,2,15,7,18)(3,14,9,16)(4,11)
(5,12)(6,10),"t18n893"],
[(1,10,9,17,4,13,2,12,8,16,6,14,3,11,7,18,5,15),
(1,2)(7,8)(10,18,14,12,17,15,11,16,13),(1,2)(4,8,6,9,5,7)(10,15)(11,13)
(12,14)(16,18),"t18n894"],
[(1,17,7,14)(2,18,8,15)(3,16,9,13)(4,12,5,11,6,10),
(1,2)(4,9)(5,8,6,7)(10,11,12)(13,18)(14,17)(15,16),"t18n895"],
[(1,9,2,7,3,8)(10,17,12,18,11,16)(13,15,14),(1,16,9,10,5,13)(2,17,8,11,6,14)
(3,18,7,12,4,15),"t18n896"],
[(1,12,8,15,5,17,2,14,3,18,9,11,4,13,7,16,6,10),
(1,17,6,18,3,13,4,14,5,16,8,15,9,11)(2,12)(7,10),"t18n897"],
[(1,15)(2,14)(3,13)(4,17,8,12,5,16,7,11,6,18,9,10),
(1,10,13,9,16,4,2,11,15,7,17,6,3,12,14,8,18,5),"t18n898"],
[(1,7,15,12,18,3,9,13,11,17,2,8,14,10,16)(4,6,5),
(1,7,3,8,2,9)(4,17,12,6,18,11)(5,16,10)(13,15),"t18n899"],
[(1,9,10,17,15)(2,7,12,18,14)(3,8,11,16,13)(4,5,6),
(1,14,18,10,6)(2,15,16,11,4,3,13,17,12,5)(8,9),"t18n900"]];
TRANSPROPERTIES[18]{[601..900]}:=
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