# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 10682: 9 resolution(s), autom. group order 60 D10682:=[[1,2,3],[1,2,3],[1,2,4],[1,2,4],[1,2,5],[1,3,5],[1,3,6],[1,3,6],[1,4,7],[1,4,8],[1,4,9],[1,5,7],[1,5,8],[1,5,9],[1,6,7],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[2,3,7],[2,3,8],[2,3,9],[2,4,5],[2,4,6],[2,4,6],[2,5,7],[2,5,8],[2,5,9],[2,6,7],[2,6,8],[2,6,9],[2,7,8],[2,7,9],[2,8,9],[3,4,6],[3,4,6],[3,4,7],[3,4,8],[3,4,9],[3,5,6],[3,5,7],[3,5,8],[3,5,9],[3,7,8],[3,7,9],[3,8,9],[4,5,6],[4,5,7],[4,5,8],[4,5,9],[4,7,8],[4,7,9],[4,8,9],[5,6,7],[5,6,8],[5,6,9],[6,7,8],[6,7,9],[6,8,9]]; G10682:=Group([(8,9),(7,8),(2,3)(4,6),(1,2)(3,4)]); R10682_1:=[[1,50,59],[2,53,56],[3,42,60],[4,45,57],[5,40,58],[6,32,52],[7,27,54],[8,33,51],[9,35,41],[10,23,55],[11,30,43],[12,25,47],[13,34,36],[14,31,38],[15,29,39],[16,24,46],[17,22,49],[18,26,44],[19,28,37],[20,21,48]]; RG10682_1:=Group([(1,6)(2,4)(7,9)]); R10682_2:=[[1,50,59],[2,53,56],[3,42,60],[4,45,57],[5,40,58],[6,30,54],[7,29,52],[8,33,51],[9,32,43],[10,34,41],[11,22,55],[12,35,36],[13,25,46],[14,31,38],[15,24,47],[16,23,49],[17,27,39],[18,26,44],[19,28,37],[20,21,48]]; RG10682_2:=Group([(1,3)(2,6)(8,9)]); R10682_3:=[[1,51,58],[2,53,56],[3,42,60],[4,45,57],[5,39,59],[6,30,54],[7,29,52],[8,34,50],[9,32,43],[10,23,55],[11,33,41],[12,35,36],[13,25,46],[14,31,38],[15,24,47],[16,27,40],[17,22,49],[18,26,44],[19,28,37],[20,21,48]]; RG10682_3:=Group([(1,3)(2,6)(8,9)]); R10682_4:=[[1,51,58],[2,53,56],[3,42,60],[4,45,57],[5,39,59],[6,32,52],[7,27,54],[8,34,50],[9,35,41],[10,23,55],[11,30,43],[12,31,40],[13,25,46],[14,33,36],[15,24,47],[16,29,38],[17,22,49],[18,26,44],[19,28,37],[20,21,48]]; RG10682_4:=Group([(2,3)(4,6)(8,9)]); R10682_5:=[[1,51,58],[2,53,56],[3,42,60],[4,45,57],[5,39,59],[6,32,52],[7,27,54],[8,34,50],[9,35,41],[10,30,44],[11,22,55],[12,31,40],[13,25,46],[14,33,36],[15,24,47],[16,23,49],[17,28,38],[18,29,37],[19,26,43],[20,21,48]]; RG10682_5:=Group([(2,3)(4,6)(8,9)]); R10682_6:=[[1,50,59],[2,53,56],[3,42,60],[4,45,57],[5,40,58],[6,30,54],[7,29,52],[8,35,49],[9,32,43],[10,23,55],[11,33,41],[12,25,47],[13,34,36],[14,31,38],[15,22,51],[16,24,46],[17,27,39],[18,26,44],[19,28,37],[20,21,48]]; RG10682_6:=Group([(1,6)(2,4)(7,9)]); R10682_7:=[[1,53,56],[2,54,55],[3,42,60],[4,43,59],[5,40,58],[6,32,52],[7,34,50],[8,35,49],[9,22,57],[10,30,44],[11,33,41],[12,25,47],[13,26,46],[14,31,38],[15,29,39],[16,21,51],[17,24,45],[18,23,48],[19,28,36],[20,27,37]]; RG10682_7:=Group([(1,2,4,6,3)]); R10682_8:=[[1,51,58],[2,54,55],[3,42,60],[4,45,57],[5,39,59],[6,31,53],[7,29,52],[8,35,49],[9,23,56],[10,34,41],[11,30,43],[12,25,47],[13,32,38],[14,33,36],[15,28,40],[16,24,46],[17,21,50],[18,26,44],[19,22,48],[20,27,37]]; RG10682_8:=Group([(2,3)(4,6)(7,9),(1,2)(3,4)(7,9)]); R10682_9:=[[1,51,58],[2,54,55],[3,42,60],[4,45,57],[5,39,59],[6,31,53],[7,29,52],[8,35,49],[9,32,43],[10,34,41],[11,21,56],[12,25,47],[13,30,40],[14,33,36],[15,23,50],[16,24,46],[17,28,38],[18,26,44],[19,22,48],[20,27,37]]; RG10682_9:=Group([(2,3)(4,6)(7,9),(1,2)(3,4)(7,9)]);