# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 20526: 8 resolution(s), autom. group order 108 D20526:=[[1,2,3],[1,2,3],[1,2,3],[1,2,3],[1,2,3],[1,4,5],[1,4,5],[1,4,6],[1,4,6],[1,4,7],[1,5,8],[1,5,8],[1,5,9],[1,6,8],[1,6,9],[1,6,9],[1,7,8],[1,7,8],[1,7,9],[1,7,9],[2,4,5],[2,4,5],[2,4,6],[2,4,7],[2,4,7],[2,5,8],[2,5,9],[2,5,9],[2,6,8],[2,6,8],[2,6,9],[2,6,9],[2,7,8],[2,7,8],[2,7,9],[3,4,5],[3,4,6],[3,4,6],[3,4,7],[3,4,7],[3,5,8],[3,5,8],[3,5,9],[3,5,9],[3,6,8],[3,6,8],[3,6,9],[3,7,8],[3,7,9],[3,7,9],[4,8,9],[4,8,9],[4,8,9],[4,8,9],[4,8,9],[5,6,7],[5,6,7],[5,6,7],[5,6,7],[5,6,7]]; G20526:=Group([(4,5)(6,8)(7,9),(4,6)(5,9)(7,8),(2,3)(5,6)(8,9),(1,2)(6,7)(8,9),(1,4)(2,8)(3,9)]); R20526_1:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,30,50],[8,33,43],[9,34,44],[10,26,47],[11,31,39],[12,32,40],[13,23,48],[14,35,36],[15,24,41],[16,25,42],[17,27,37],[18,28,38],[19,21,45],[20,22,46]]; RG20526_1:=Group([(4,8,9)(5,7,6),(4,6)(5,9)(7,8),(2,3)(5,6)(8,9),(1,2)(6,7)(8,9),(1,4)(2,8)(3,9)]); R20526_2:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,30,50],[8,33,43],[9,34,44],[10,26,47],[11,31,39],[12,35,37],[13,23,48],[14,27,40],[15,24,41],[16,25,42],[17,28,38],[18,32,36],[19,21,45],[20,22,46]]; RG20526_2:=Group([(2,3)(4,9)(5,7),(1,2)(6,7)(8,9),(1,4)(2,9)(3,8)(5,6)]); R20526_3:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,30,50],[8,33,43],[9,34,44],[10,26,47],[11,31,39],[12,35,37],[13,24,45],[14,27,40],[15,21,48],[16,25,41],[17,28,38],[18,32,36],[19,22,46],[20,23,42]]; RG20526_3:=Group([(2,3)(5,6)(8,9),(1,2)(4,8)(5,7),(1,4)(2,8)(3,9)]); R20526_4:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,33,47],[8,26,50],[9,34,43],[10,30,44],[11,31,39],[12,35,37],[13,24,45],[14,27,40],[15,21,48],[16,25,41],[17,28,38],[18,32,36],[19,22,46],[20,23,42]]; RG20526_4:=Group([(4,8,9)(5,7,6),(2,3)(5,6)(8,9),(1,2)(6,7)(8,9),(1,4)(2,8)(3,9)]); R20526_5:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,30,50],[8,33,43],[9,34,44],[10,31,41],[11,24,47],[12,35,37],[13,23,48],[14,27,39],[15,25,42],[16,26,40],[17,28,38],[18,32,36],[19,21,45],[20,22,46]]; RG20526_5:=Group([(1,2,3)(4,8,9)(5,6,7),(1,5)(2,6)(3,7)]); R20526_6:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,30,50],[8,33,43],[9,34,44],[10,31,41],[11,24,47],[12,35,37],[13,25,45],[14,27,39],[15,21,48],[16,26,40],[17,28,38],[18,32,36],[19,22,46],[20,23,42]]; RG20526_6:=Group([(2,3)(5,6)(8,9),(1,2)(4,8)(5,7)]); R20526_7:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,31,48],[8,26,50],[9,33,43],[10,30,44],[11,32,39],[12,35,37],[13,24,45],[14,27,40],[15,25,41],[16,34,36],[17,21,47],[18,28,38],[19,22,46],[20,23,42]]; RG20526_7:=Group([(4,8,9)(5,7,6),(1,2)(6,7)(8,9)]); R20526_8:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,29,49],[7,31,48],[8,33,43],[9,34,44],[10,32,41],[11,23,50],[12,35,37],[13,24,45],[14,27,39],[15,25,42],[16,26,40],[17,21,47],[18,28,38],[19,22,46],[20,30,36]]; RG20526_8:=Group([(1,4,6)(2,8,7)(3,9,5)]); # Design 57106: 8 resolution(s), autom. group order 108 D57106:=[[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],[1,4,7],[1,5,8],[1,5,9],[1,6,8],[1,6,8],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[1,7,9],[1,7,9],[2,4,5],[2,4,6],[2,4,6],[2,4,6],[2,4,7],[2,5,8],[2,5,9],[2,5,9],[2,5,9],[2,6,8],[2,6,9],[2,7,8],[2,7,8],[2,7,8],[2,7,9],[3,4,5],[3,4,6],[3,4,7],[3,4,7],[3,4,7],[3,5,8],[3,5,8],[3,5,8],[3,5,9],[3,6,8],[3,6,9],[3,6,9],[3,6,9],[3,7,8],[3,7,9],[4,8,9],[4,8,9],[4,8,9],[4,8,9],[4,8,9],[5,6,7],[5,6,7],[5,6,7],[5,6,7],[5,6,7]]; G57106:=Group([(4,5)(6,9)(7,8),(4,6)(5,8)(7,9),(2,3)(6,7)(8,9),(1,2)(5,6)(8,9),(1,4)(2,8)(3,9)]); R57106_1:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,32,46],[7,33,47],[8,34,48],[9,26,50],[10,30,44],[11,35,37],[12,25,45],[13,27,38],[14,28,39],[15,29,40],[16,21,49],[17,31,36],[18,22,41],[19,23,42],[20,24,43]]; RG57106_1:=Group([(4,8,9)(5,6,7),(4,5)(6,9)(7,8),(2,3)(6,7)(8,9),(1,2)(5,6)(8,9),(1,4)(2,8)(3,9)]); R57106_2:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,32,46],[7,33,47],[8,34,48],[9,26,50],[10,30,44],[11,31,38],[12,25,45],[13,27,39],[14,28,40],[15,35,36],[16,21,49],[17,29,37],[18,22,41],[19,23,42],[20,24,43]]; RG57106_2:=Group([(2,3)(4,9)(5,7),(1,2)(5,6)(8,9),(1,4)(2,9)(3,8)(6,7)]); R57106_3:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,32,46],[7,33,47],[8,34,48],[9,26,50],[10,30,44],[11,31,38],[12,22,49],[13,27,39],[14,28,40],[15,35,36],[16,25,41],[17,29,37],[18,21,45],[19,23,42],[20,24,43]]; RG57106_3:=Group([(2,3)(6,7)(8,9),(1,2)(4,8)(5,7),(1,4)(2,8)(3,9)]); R57106_4:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,30,50],[7,32,46],[8,33,47],[9,34,44],[10,26,48],[11,31,38],[12,22,49],[13,27,39],[14,28,40],[15,35,36],[16,25,41],[17,29,37],[18,21,45],[19,23,42],[20,24,43]]; RG57106_4:=Group([(4,8,9)(5,6,7),(2,3)(6,7)(8,9),(1,2)(5,6)(8,9),(1,4)(2,8)(3,9)]); R57106_5:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,32,46],[7,33,47],[8,34,48],[9,26,50],[10,27,45],[11,31,38],[12,30,39],[13,25,44],[14,28,40],[15,35,36],[16,21,49],[17,29,37],[18,22,41],[19,23,42],[20,24,43]]; RG57106_5:=Group([(2,3)(4,9)(5,7),(1,2)(5,6)(8,9),(1,5)(2,6)(3,7)(8,9)]); R57106_6:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,30,50],[7,32,46],[8,33,47],[9,27,49],[10,26,48],[11,31,38],[12,34,37],[13,28,39],[14,29,40],[15,35,36],[16,25,41],[17,22,44],[18,21,45],[19,23,42],[20,24,43]]; RG57106_6:=Group([(4,8,9)(5,6,7),(1,3)(4,8)(6,7)]); R57106_7:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,32,46],[7,33,47],[8,34,48],[9,27,49],[10,28,45],[11,31,38],[12,30,39],[13,21,50],[14,29,40],[15,35,36],[16,25,41],[17,22,44],[18,23,42],[19,24,43],[20,26,37]]; RG57106_7:=Group([(2,3)(4,5)(6,8)(7,9),(1,4)(2,9)(3,8)(6,7)]); R57106_8:=[[1,51,56],[2,52,57],[3,53,58],[4,54,59],[5,55,60],[6,32,46],[7,33,47],[8,34,48],[9,27,49],[10,28,45],[11,31,38],[12,30,39],[13,21,50],[14,25,44],[15,35,36],[16,26,40],[17,29,37],[18,22,41],[19,23,42],[20,24,43]]; RG57106_8:=Group([(4,7)(5,9)(6,8),(2,3)(4,9)(5,7),(1,2)(5,6)(8,9),(1,4)(2,9)(3,8)(6,7)]);