# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 14719: 22 resolution(s), autom. group order 20 D14719:=[[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],[1,5,7],[1,5,8],[1,5,8],[1,6,7],[1,6,9],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[1,8,9],[2,4,5],[2,4,6],[2,4,7],[2,4,8],[2,4,9],[2,5,6],[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],[3,4,5],[3,4,6],[3,4,7],[3,4,8],[3,4,9],[3,5,6],[3,5,7],[3,5,8],[3,5,9],[3,6,7],[3,6,8],[3,6,9],[3,7,8],[3,7,9],[3,8,9],[4,5,9],[4,6,8],[4,7,8],[4,7,9],[4,8,9],[5,6,7],[5,6,8],[5,6,9],[5,7,9],[6,7,8]]; G14719:=Group([(5,6)(8,9),(4,5)(6,8),(2,3)]); R14719_1:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,34,46],[8,27,50],[9,28,49],[10,31,44],[11,35,37],[12,25,45],[13,30,40],[14,29,39],[15,21,48],[16,23,43],[17,32,36],[18,24,41],[19,22,42],[20,26,38]]; RG14719_1:=Group([(2,3)(4,9)(5,8)]); R14719_2:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,34,46],[8,27,50],[9,28,49],[10,31,44],[11,32,39],[12,25,45],[13,30,40],[14,35,36],[15,21,48],[16,23,43],[17,29,37],[18,24,41],[19,22,42],[20,26,38]]; RG14719_2:=Group([(2,3)(4,9)(5,8)]); R14719_3:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,27,50],[9,33,44],[10,28,47],[11,35,37],[12,25,45],[13,30,40],[14,29,39],[15,21,48],[16,23,43],[17,32,36],[18,24,41],[19,22,42],[20,26,38]]; RG14719_3:=Group([(2,3)(4,8)(6,9)]); R14719_4:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,34,46],[8,27,50],[9,28,49],[10,31,44],[11,35,37],[12,25,45],[13,32,38],[14,29,39],[15,21,48],[16,23,43],[17,26,40],[18,24,41],[19,22,42],[20,30,36]]; RG14719_4:=Group([(2,3)(4,8)(6,9)]); R14719_5:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,27,50],[9,33,44],[10,28,47],[11,35,37],[12,25,45],[13,30,40],[14,29,39],[15,21,48],[16,24,42],[17,32,36],[18,22,43],[19,23,41],[20,26,38]]; RG14719_5:=Group([(2,3)(4,9)(5,8)]); R14719_6:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,27,50],[9,33,44],[10,28,47],[11,32,39],[12,25,45],[13,30,40],[14,35,36],[15,21,48],[16,24,42],[17,29,37],[18,22,43],[19,23,41],[20,26,38]]; RG14719_6:=Group([(2,3)(4,9)(5,8)]); R14719_7:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,34,46],[8,27,50],[9,28,49],[10,31,44],[11,35,37],[12,25,45],[13,32,38],[14,29,39],[15,21,48],[16,24,42],[17,26,40],[18,22,43],[19,23,41],[20,30,36]]; RG14719_7:=Group([(2,3)(4,6)(5,9)]); R14719_8:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,27,50],[9,33,44],[10,28,47],[11,35,37],[12,25,45],[13,32,38],[14,29,39],[15,21,48],[16,24,42],[17,26,40],[18,22,43],[19,23,41],[20,30,36]]; RG14719_8:=Group([(2,3)(4,5)(6,8)]); R14719_9:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,30,50],[7,33,47],[8,28,49],[9,29,48],[10,31,44],[11,25,46],[12,32,38],[13,34,37],[14,35,36],[15,23,43],[16,27,39],[17,26,40],[18,24,41],[19,21,45],[20,22,42]]; RG14719_9:=Group([(2,3)(4,9)(5,8)]); R14719_10:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,30,50],[7,31,49],[8,29,48],[9,33,44],[10,28,47],[11,25,46],[12,32,38],[13,34,37],[14,35,36],[15,24,42],[16,27,39],[17,26,40],[18,22,43],[19,21,45],[20,23,41]]; RG14719_10:=Group([(2,3)(4,9)(5,8)]); R14719_11:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,35,45],[8,27,50],[9,28,49],[10,31,44],[11,25,46],[12,32,38],[13,34,37],[14,29,39],[15,21,48],[16,23,43],[17,26,40],[18,24,41],[19,22,42],[20,30,36]]; RG14719_11:=Group([(4,9,5,6,8),(2,3)(5,6)(8,9)]); R14719_12:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,29,48],[9,33,44],[10,26,50],[11,35,37],[12,23,47],[13,32,38],[14,28,40],[15,24,42],[16,27,39],[17,25,41],[18,22,43],[19,21,45],[20,30,36]]; RG14719_12:=Group([(2,3)(4,6)(5,9)]); R14719_13:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,30,50],[7,32,48],[8,28,49],[9,33,44],[10,29,46],[11,31,40],[12,25,45],[13,34,37],[14,35,36],[15,23,43],[16,27,39],[17,21,47],[18,24,41],[19,22,42],[20,26,38]]; RG14719_13:=Group([(2,3)(4,5)(6,8)]); R14719_14:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,29,48],[9,33,44],[10,28,47],[11,35,37],[12,25,45],[13,30,40],[14,21,50],[15,24,42],[16,27,39],[17,32,36],[18,22,43],[19,23,41],[20,26,38]]; RG14719_14:=Group([(4,9,5,6,8),(2,3)(5,6)(8,9)]); R14719_15:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,34,46],[8,28,49],[9,35,42],[10,26,50],[11,31,40],[12,25,45],[13,32,38],[14,29,39],[15,21,48],[16,23,43],[17,22,44],[18,24,41],[19,27,37],[20,30,36]]; RG14719_15:=Group([(2,3)(4,8)(6,9)]); R14719_16:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,33,47],[8,27,50],[9,29,48],[10,35,41],[11,32,39],[12,25,45],[13,34,37],[14,28,40],[15,23,43],[16,24,42],[17,22,44],[18,21,46],[19,26,38],[20,30,36]]; RG14719_16:=Group([(4,9,5,6,8)]); R14719_17:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,34,46],[8,27,50],[9,29,48],[10,28,47],[11,35,37],[12,30,40],[13,32,38],[14,24,44],[15,23,43],[16,33,36],[17,25,41],[18,26,39],[19,21,45],[20,22,42]]; RG14719_17:=Group([(2,3)(4,5)(6,8)]); R14719_18:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,33,47],[8,29,48],[9,34,43],[10,26,50],[11,35,37],[12,25,45],[13,30,40],[14,24,44],[15,27,39],[16,28,38],[17,32,36],[18,21,46],[19,22,42],[20,23,41]]; RG14719_18:=Group([(2,3)(4,9)(5,8)]); R14719_19:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,31,49],[7,35,45],[8,29,48],[9,33,44],[10,26,50],[11,24,47],[12,32,38],[13,34,37],[14,28,40],[15,23,43],[16,27,39],[17,25,41],[18,21,46],[19,22,42],[20,30,36]]; RG14719_19:=Group([(2,3)(4,6)(5,9)]); R14719_20:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,35,45],[8,28,49],[9,29,48],[10,26,50],[11,31,40],[12,32,38],[13,34,37],[14,24,44],[15,23,43],[16,27,39],[17,25,41],[18,21,46],[19,22,42],[20,30,36]]; RG14719_20:=Group([(2,3)(4,9)(5,8)]); R14719_21:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,33,47],[7,35,45],[8,27,50],[9,28,49],[10,29,46],[11,31,40],[12,32,38],[13,34,37],[14,24,44],[15,21,48],[16,23,43],[17,25,41],[18,26,39],[19,22,42],[20,30,36]]; RG14719_21:=Group([(4,9,5,6,8),(2,3)(5,6)(8,9)]); R14719_22:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,32,48],[7,33,47],[8,27,50],[9,35,42],[10,31,44],[11,25,46],[12,22,49],[13,34,37],[14,29,39],[15,23,43],[16,28,38],[17,26,40],[18,24,41],[19,21,45],[20,30,36]]; RG14719_22:=Group([(4,9,5,6,8)]); # Design 57114: 1 resolution(s), autom. group order 20 D57114:=[[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],[1,5,7],[1,5,8],[1,5,8],[1,6,7],[1,6,9],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[1,8,9],[2,4,5],[2,4,5],[2,4,6],[2,4,6],[2,4,7],[2,5,7],[2,5,8],[2,5,8],[2,6,7],[2,6,9],[2,6,9],[2,7,8],[2,7,9],[2,8,9],[2,8,9],[3,4,7],[3,4,8],[3,4,8],[3,4,9],[3,4,9],[3,5,6],[3,5,6],[3,5,7],[3,5,9],[3,5,9],[3,6,7],[3,6,8],[3,6,8],[3,7,8],[3,7,9],[4,5,9],[4,6,8],[4,7,8],[4,7,9],[4,8,9],[5,6,7],[5,6,8],[5,6,9],[5,7,9],[6,7,8]]; G57114:=Group([(5,6)(8,9),(4,5)(6,8),(1,2)]); R57114_1:=[[1,51,60],[2,52,59],[3,53,58],[4,54,57],[5,55,56],[6,30,49],[7,33,47],[8,32,44],[9,34,43],[10,35,41],[11,31,37],[12,23,50],[13,29,39],[14,27,40],[15,26,38],[16,28,36],[17,24,45],[18,21,48],[19,22,46],[20,25,42]]; RG57114_1:=Group([(4,9,5,6,8),(1,2)(5,6)(8,9)]);