# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 24110: 3 resolution(s), autom. group order 54 D24110:=[[1,2,3],[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,6],[1,3,7],[1,4,5],[1,4,5],[1,4,8],[1,4,9],[1,5,8],[1,5,9],[1,6,7],[1,6,8],[1,6,8],[1,6,8],[1,7,9],[1,7,9],[1,7,9],[2,3,8],[2,3,9],[2,4,5],[2,4,6],[2,4,6],[2,4,6],[2,5,7],[2,5,7],[2,5,7],[2,6,8],[2,6,9],[2,7,8],[2,7,9],[2,8,9],[2,8,9],[3,4,6],[3,4,7],[3,4,9],[3,4,9],[3,4,9],[3,5,6],[3,5,7],[3,5,8],[3,5,8],[3,5,8],[3,6,7],[3,6,7],[3,8,9],[4,5,8],[4,5,9],[4,6,7],[4,7,8],[4,7,8],[4,7,8],[5,6,7],[5,6,9],[5,6,9],[5,6,9],[6,8,9],[7,8,9]]; G24110:=Group([(4,5)(6,7)(8,9),(2,8,9)(3,6,7),(1,2,3)(4,8,7)(5,9,6)]); R24110_1:=[[1,52,56],[2,53,57],[3,54,58],[4,48,55],[5,37,59],[6,23,60],[7,30,50],[8,34,46],[9,35,47],[10,31,42],[11,32,41],[12,33,36],[13,21,51],[14,22,49],[15,27,38],[16,28,39],[17,29,40],[18,24,43],[19,25,44],[20,26,45]]; RG24110_1:=Group([(2,8,9)(3,6,7),(1,5)(3,7)(8,9)]); R24110_2:=[[1,52,56],[2,53,57],[3,54,58],[4,48,55],[5,36,60],[6,33,49],[7,23,59],[8,34,46],[9,35,47],[10,31,42],[11,32,41],[12,22,51],[13,30,37],[14,21,50],[15,27,38],[16,28,39],[17,29,40],[18,24,43],[19,25,44],[20,26,45]]; RG24110_2:=Group([(2,8,9)(3,6,7),(1,2,3)(4,8,7)(5,9,6)]); R24110_3:=[[1,52,56],[2,53,57],[3,54,58],[4,41,60],[5,37,59],[6,32,50],[7,31,49],[8,34,46],[9,35,47],[10,22,55],[11,30,42],[12,33,36],[13,21,51],[14,23,48],[15,27,38],[16,28,39],[17,29,40],[18,24,43],[19,25,44],[20,26,45]]; RG24110_3:=Group([(4,5)(6,7)(8,9),(2,9)(3,7)(4,5),(1,3,2)(4,7,8)(5,6,9)]); # Design 57104: 1 resolution(s), autom. group order 54 D57104:=[[1,2,3],[1,2,3],[1,2,3],[1,2,3],[1,2,3],[1,4,5],[1,4,5],[1,4,5],[1,4,6],[1,4,6],[1,5,7],[1,5,7],[1,6,8],[1,6,8],[1,6,8],[1,7,9],[1,7,9],[1,7,9],[1,8,9],[1,8,9],[2,4,5],[2,4,5],[2,4,9],[2,4,9],[2,4,9],[2,5,8],[2,5,8],[2,5,8],[2,6,7],[2,6,7],[2,6,7],[2,6,8],[2,6,8],[2,7,9],[2,7,9],[3,4,6],[3,4,6],[3,4,6],[3,4,9],[3,4,9],[3,5,7],[3,5,7],[3,5,7],[3,5,8],[3,5,8],[3,6,7],[3,6,7],[3,8,9],[3,8,9],[3,8,9],[4,7,8],[4,7,8],[4,7,8],[4,7,8],[4,7,8],[5,6,9],[5,6,9],[5,6,9],[5,6,9],[5,6,9]]; G57104:=Group([(4,5)(6,7)(8,9),(4,6)(5,8)(7,9),(1,2,3)(5,9,6),(1,4)(2,7)(3,8)]); R57104_1:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,48],[7,30,49],[8,31,50],[9,34,44],[10,35,45],[11,32,39],[12,33,40],[13,23,41],[14,24,42],[15,25,43],[16,26,36],[17,27,37],[18,28,38],[19,21,46],[20,22,47]]; RG57104_1:=Group([(4,8,7)(5,6,9),(4,5)(6,7)(8,9),(1,3,2)(5,6,9),(1,4)(2,7)(3,8)]); # Design 57116: 1 resolution(s), autom. group order 54 D57116:=[[1,2,3],[1,2,3],[1,2,3],[1,2,3],[1,2,3],[1,4,5],[1,4,5],[1,4,5],[1,4,5],[1,4,6],[1,5,7],[1,6,8],[1,6,8],[1,6,8],[1,6,8],[1,7,9],[1,7,9],[1,7,9],[1,7,9],[1,8,9],[2,4,5],[2,4,9],[2,4,9],[2,4,9],[2,4,9],[2,5,8],[2,5,8],[2,5,8],[2,5,8],[2,6,7],[2,6,7],[2,6,7],[2,6,7],[2,6,8],[2,7,9],[3,4,6],[3,4,6],[3,4,6],[3,4,6],[3,4,9],[3,5,7],[3,5,7],[3,5,7],[3,5,7],[3,5,8],[3,6,7],[3,8,9],[3,8,9],[3,8,9],[3,8,9],[4,7,8],[4,7,8],[4,7,8],[4,7,8],[4,7,8],[5,6,9],[5,6,9],[5,6,9],[5,6,9],[5,6,9]]; G57116:=Group([(4,5)(6,7)(8,9),(4,6)(5,8)(7,9),(1,2,3)(5,9,6),(1,4)(2,7)(3,8)]); R57116_1:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,30,47],[7,31,48],[8,32,49],[9,33,50],[10,35,45],[11,34,40],[12,22,41],[13,23,42],[14,24,43],[15,25,44],[16,26,36],[17,27,37],[18,28,38],[19,29,39],[20,21,46]]; RG57116_1:=Group([(4,8,7)(5,6,9),(4,5)(6,7)(8,9),(1,3,2)(5,6,9),(1,4)(2,7)(3,8)]);