D:=[]; G:=[]; R:=[]; RG:=[]; # Design 1: 2 resolution(s), autom. group order 16, simple D[1]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,13,15],[1,10,14,16],[1,11,15,16],[2,3,11,12],[2,4,7,13],[2,5,9,15],[2,6,8,10],[2,7,9,16],[2,8,11,16],[2,10,13,14],[2,12,14,15],[3,4,5,14],[3,5,10,15],[3,6,8,9],[3,6,11,15],[3,7,10,16],[3,9,13,14],[3,12,13,16],[4,5,7,12],[4,6,9,16],[4,6,11,13],[4,8,10,15],[4,8,11,14],[4,12,15,16],[5,6,14,16],[5,8,9,12],[5,8,13,16],[5,10,11,13],[6,7,10,12],[6,7,14,15],[7,8,13,15],[7,9,11,14],[9,10,11,12]]; G[1]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,13)(7,16)(8,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(4,12)(5,16)(6,8)(7,15)(13,14)]); R[1]:=[]; RG[1]:=[]; # Design 1 / Resolution 1: autom. group order 4 R[1][1]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[1][1]:=Group([(1,11)(2,3)(4,12)(5,15)(7,16)(9,10),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 1 / Resolution 2: autom. group order 4 R[1][2]:=[[1,34,37,40],[2,25,29,39],[3,18,27,35],[4,11,32,38],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[1][2]:=Group([(1,11)(2,3)(4,12)(5,15)(7,16)(9,10),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 2: 2 resolution(s), autom. group order 16, simple D[2]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,13,15],[1,10,14,16],[1,11,15,16],[2,3,11,12],[2,4,7,14],[2,5,9,16],[2,6,10,14],[2,7,9,15],[2,8,10,13],[2,8,11,15],[2,12,13,16],[3,4,5,13],[3,5,10,16],[3,6,9,14],[3,6,11,16],[3,7,10,15],[3,8,9,13],[3,12,14,15],[4,5,7,12],[4,6,10,15],[4,6,11,13],[4,8,9,16],[4,8,11,14],[4,12,15,16],[5,6,8,15],[5,8,10,12],[5,9,11,14],[5,13,14,15],[6,7,8,16],[6,7,9,12],[7,10,11,13],[7,13,14,16],[9,10,11,12]]; G[2]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,13)(7,16)(8,14),(1,4)(5,7)(6,14)(8,13)(11,12)(15,16),(1,11)(4,12)(5,15)(6,8)(7,16)(13,14)]); R[2]:=[]; RG[2]:=[]; # Design 2 / Resolution 1: autom. group order 4 R[2][1]:=[[1,32,39,40],[2,25,29,38],[3,18,27,34],[4,11,35,36],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,12,22,33],[9,17,19,37],[10,16,21,26]]; RG[2][1]:=Group([(1,12)(2,10)(3,9)(4,11)(6,8)(13,14),(1,4)(2,9)(3,10)(5,16)(6,8)(7,15)(11,12)(13,14)]); # Design 2 / Resolution 2: autom. group order 4 R[2][2]:=[[1,32,39,40],[2,25,29,38],[3,18,27,34],[4,11,35,36],[5,16,21,31],[6,13,23,30],[7,15,20,28],[8,12,22,33],[9,17,19,37],[10,14,24,26]]; RG[2][2]:=Group([(1,12)(2,10)(3,9)(4,11)(6,8)(13,14),(1,4)(2,9)(3,10)(5,16)(6,8)(7,15)(11,12)(13,14)]); # Design 3: 2 resolution(s), autom. group order 16, simple, decomposable D[3]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,4,12,14],[2,5,7,16],[2,6,9,15],[2,6,11,15],[2,7,8,10],[2,8,12,14],[2,9,13,16],[2,10,11,13],[3,4,8,16],[3,5,13,15],[3,6,9,12],[3,6,10,12],[3,7,8,11],[3,7,13,15],[3,9,14,16],[3,10,11,14],[4,5,10,14],[4,5,11,13],[4,6,11,16],[4,7,12,15],[4,8,9,13],[4,9,10,15],[5,6,10,16],[5,7,9,14],[5,8,12,15],[5,9,11,12],[6,7,13,14],[6,8,13,14],[7,11,12,16],[8,10,15,16]]; G[3]:=Group([(2,3)(4,5)(7,8)(10,11)(12,15)(13,14),(1,2,6,13)(3,15,14,12)(4,9,7,16)(5,11,8,10)]); R[3]:=[]; RG[3]:=[]; # Design 3 / Resolution 1: autom. group order 16, decomposable R[3][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,14,19,34],[8,12,22,31],[9,13,23,27],[10,15,21,28]]; RG[3][1]:=Group([(2,3)(4,5)(7,8)(10,11)(12,15)(13,14),(1,2,6,13)(3,15,14,12)(4,9,7,16)(5,11,8,10)]); # Design 3 / Resolution 2: autom. group order 16 R[3][2]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,14,19,34],[8,12,22,31],[9,13,23,27],[10,15,21,28]]; RG[3][2]:=Group([(2,3)(4,5)(7,8)(10,11)(12,15)(13,14),(1,14,6,3)(2,15,13,12)(4,11,7,10)(5,16,8,9)]); # Design 4: 1 resolution(s), autom. group order 16, simple D[4]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,10,11],[1,7,12,13],[1,8,12,14],[1,9,10,15],[1,11,14,16],[1,13,15,16],[2,3,12,15],[2,4,7,10],[2,5,8,16],[2,6,14,15],[2,7,11,16],[2,8,9,11],[2,9,12,13],[2,10,13,14],[3,4,6,16],[3,5,9,10],[3,6,11,13],[3,7,8,15],[3,8,13,14],[3,9,11,14],[3,10,12,16],[4,5,9,13],[4,5,14,16],[4,6,13,15],[4,7,12,14],[4,8,11,15],[4,10,11,12],[5,6,8,12],[5,7,11,13],[5,10,14,15],[5,11,12,15],[6,7,8,10],[6,7,9,14],[6,9,12,16],[7,9,15,16],[8,10,13,16]]; G[4]:=Group([(1,2,11,12)(3,16,15,14)(4,7,5,8)(6,9,10,13),(1,3,11,15)(2,14,12,16)(4,9,5,13)(6,8,10,7),(1,4,2,7,11,5,12,8)(3,10,16,13,15,6,14,9)]); R[4]:=[]; RG[4]:=[]; # Design 4 / Resolution 1: autom. group order 16 R[4][1]:=[[1,35,37,40],[2,23,31,39],[3,18,30,38],[4,14,25,33],[5,17,22,27],[6,16,19,34],[7,15,20,28],[8,13,21,29],[9,11,26,36],[10,12,24,32]]; RG[4][1]:=Group([(1,11)(2,12)(3,15)(4,5)(6,10)(7,8)(9,13)(14,16),(1,14,11,16)(2,15,12,3)(4,6,5,10)(7,13,8,9),(1,6,11,10)(2,13,12,9)(3,4,15,5)(7,16,8,14)]); # Design 5: 2 resolution(s), autom. group order 16 D[5]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,8,9],[2,5,11,15],[2,6,8,12],[2,6,10,15],[2,7,9,16],[2,7,12,14],[2,10,13,16],[2,11,13,14],[3,5,8,14],[3,5,10,13],[3,6,8,16],[3,6,11,13],[3,7,10,11],[3,7,14,16],[3,9,12,15],[3,9,12,15],[4,5,9,13],[4,5,15,16],[4,6,12,13],[4,6,14,15],[4,7,9,11],[4,7,10,12],[4,8,10,16],[4,8,11,14],[5,10,12,14],[5,11,12,16],[6,9,10,14],[6,9,11,16],[7,8,13,15],[7,8,13,15]]; G[5]:=Group([(5,6)(9,12)(10,11)(14,16),(2,4)(8,13)(10,14)(11,16),(1,3)(5,9)(6,12)(7,15)(10,14)(11,16),(1,7)(2,8)(3,15)(4,13)(10,16)(11,14)]); R[5]:=[]; RG[5]:=[]; # Design 5 / Resolution 1: autom. group order 8 R[5][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,15,20,30],[7,12,21,32],[8,11,24,29],[9,14,19,31],[10,13,23,27]]; RG[5][1]:=Group([(2,4)(8,13)(10,14)(11,16),(1,7)(2,13)(3,15)(4,8)(10,11)(14,16),(1,3)(5,9)(6,12)(7,15)(10,14)(11,16)]); # Design 5 / Resolution 2: autom. group order 8 R[5][2]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,12,24,29],[6,15,20,30],[7,13,23,28],[8,16,21,27],[9,14,19,31],[10,11,22,32]]; RG[5][2]:=Group([(2,4)(8,13)(10,14)(11,16),(1,7)(2,13)(3,15)(4,8)(5,6)(9,12),(1,3)(5,12)(6,9)(7,15)(10,16)(11,14)]); # Design 6: 2 resolution(s), autom. group order 16, simple D[6]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,8,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,11,12],[2,4,7,14],[2,5,9,13],[2,6,10,16],[2,7,9,15],[2,8,10,14],[2,8,11,15],[2,12,13,16],[3,4,5,16],[3,5,10,13],[3,6,9,16],[3,6,11,13],[3,7,10,15],[3,8,9,14],[3,12,14,15],[4,5,7,12],[4,6,8,11],[4,6,9,15],[4,8,10,13],[4,11,14,16],[4,12,13,15],[5,6,14,15],[5,8,9,12],[5,8,15,16],[5,10,11,14],[6,7,10,12],[6,7,13,14],[7,8,13,16],[7,9,11,16],[9,10,11,12]]; G[6]:=Group([(2,3)(5,7)(6,8)(9,10)(13,15)(14,16),(2,9)(3,10)(5,13)(6,14)(7,15)(8,16),(1,4)(5,7)(6,14)(8,16)(11,12)(13,15),(1,11)(4,12)(5,15)(6,8)(7,13)(14,16)]); R[6]:=[]; RG[6]:=[]; # Design 6 / Resolution 1: autom. group order 4 R[6][1]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,16,21,26],[10,15,20,27]]; RG[6][1]:=Group([(1,11)(2,3)(4,12)(5,13)(7,15)(9,10),(1,11)(4,12)(5,15)(6,8)(7,13)(14,16)]); # Design 6 / Resolution 2: autom. group order 4 R[6][2]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,16,21,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,14,24,26],[10,15,20,27]]; RG[6][2]:=Group([(1,11)(2,3)(4,12)(5,13)(7,15)(9,10),(1,11)(4,12)(5,15)(6,8)(7,13)(14,16)]); # Design 7: 3 resolution(s), autom. group order 16, decomposable D[7]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,15],[2,5,9,16],[2,6,8,10],[2,6,13,14],[2,7,11,13],[2,8,10,16],[2,9,11,12],[2,12,14,15],[3,5,8,14],[3,5,11,16],[3,6,7,12],[3,6,13,15],[3,7,12,16],[3,8,9,13],[3,9,10,11],[3,10,14,15],[4,5,9,14],[4,5,11,15],[4,6,9,12],[4,6,10,11],[4,7,10,14],[4,7,13,16],[4,8,12,15],[4,8,13,16],[5,10,12,13],[5,10,12,13],[6,9,15,16],[6,11,14,16],[7,8,9,15],[7,8,11,14]]; G[7]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,2)(3,4)(5,10)(6,8)(7,16)(11,14)(12,13),(1,5)(2,10)(3,12)(4,13)(9,15)(11,14)]); R[7]:=[]; RG[7]:=[]; # Design 7 / Resolution 1: autom. group order 8 R[7][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,14,20,33],[6,12,22,31],[7,13,23,28],[8,15,19,29],[9,16,21,27],[10,11,24,30]]; RG[7][1]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(9,14)(11,15),(1,5)(2,10)(3,12)(4,13)(9,15)(11,14)]); # Design 7 / Resolution 2: autom. group order 16, decomposable R[7][2]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,12,22,31],[7,13,23,28],[8,15,19,29],[9,16,21,27],[10,11,24,30]]; RG[7][2]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(9,14)(11,15),(1,2)(3,4)(5,10)(6,8)(7,16)(11,14)(12,13),(1,5)(2,10)(3,12)(4,13)(9,15)(11,14)]); # Design 7 / Resolution 3: autom. group order 16 R[7][3]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,14,20,33],[6,12,22,31],[7,16,21,28],[8,15,19,29],[9,13,23,27],[10,11,24,30]]; RG[7][3]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(9,14)(11,15),(1,2)(3,4)(5,10)(6,8)(7,16)(11,14)(12,13),(1,5)(2,10)(3,12)(4,13)(9,15)(11,14)]); # Design 8: 2 resolution(s), autom. group order 16, simple D[8]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,8,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,11,12],[2,4,7,14],[2,5,9,13],[2,6,10,14],[2,7,9,15],[2,8,10,16],[2,8,12,15],[2,11,13,16],[3,4,5,16],[3,5,10,13],[3,6,9,14],[3,6,12,13],[3,7,10,15],[3,8,9,16],[3,11,14,15],[4,5,7,12],[4,6,8,11],[4,6,9,15],[4,8,10,13],[4,11,14,16],[4,12,13,15],[5,6,15,16],[5,8,9,11],[5,8,14,15],[5,10,12,14],[6,7,10,11],[6,7,13,16],[7,8,13,14],[7,9,12,16],[9,10,11,12]]; G[8]:=Group([(2,3)(5,7)(6,8)(9,10)(13,15)(14,16),(2,9)(3,10)(5,13)(6,14)(7,15)(8,16),(1,4)(5,7)(6,14)(8,16)(11,12)(13,15),(1,11)(4,12)(5,13)(6,16)(7,15)(8,14)]); R[8]:=[]; RG[8]:=[]; # Design 8 / Resolution 1: autom. group order 4 R[8][1]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,16,21,26],[10,15,20,27]]; RG[8][1]:=Group([(1,11)(4,12)(5,13)(6,16)(7,15)(8,14),(2,3)(5,7)(6,8)(9,10)(13,15)(14,16)]); # Design 8 / Resolution 2: autom. group order 4 R[8][2]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,16,21,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,14,24,26],[10,15,20,27]]; RG[8][2]:=Group([(1,11)(4,12)(5,13)(6,16)(7,15)(8,14),(2,3)(5,7)(6,8)(9,10)(13,15)(14,16)]); # Design 9: 1 resolution(s), autom. group order 16 D[9]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,11],[2,5,13,15],[2,6,8,9],[2,6,13,14],[2,7,12,15],[2,8,10,14],[2,9,11,16],[2,10,12,16],[3,5,8,10],[3,5,15,16],[3,6,7,12],[3,6,14,16],[3,7,11,14],[3,8,9,15],[3,9,11,13],[3,10,12,13],[4,5,9,16],[4,5,12,13],[4,6,10,13],[4,6,11,16],[4,7,9,10],[4,7,14,15],[4,8,11,12],[4,8,14,15],[5,9,12,14],[5,10,11,14],[6,9,12,15],[6,10,11,15],[7,8,13,16],[7,8,13,16]]; G[9]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,14)(6,15)(7,8)(9,12)(10,11),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); R[9]:=[]; RG[9]:=[]; # Design 9 / Resolution 1: autom. group order 4 R[9][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,12,22,33],[6,14,20,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[9][1]:=Group([(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,8)(2,16,3,13)(4,7)(5,11,6,12)(9,14,10,15)]); # Design 10: 2 resolution(s), autom. group order 16, simple D[10]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,8,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,11,12],[2,4,7,14],[2,5,9,13],[2,6,10,16],[2,7,9,15],[2,8,10,14],[2,8,12,15],[2,11,13,16],[3,4,5,16],[3,5,10,13],[3,6,9,16],[3,6,12,13],[3,7,10,15],[3,8,9,14],[3,11,14,15],[4,5,7,12],[4,6,8,11],[4,6,9,15],[4,8,10,13],[4,11,14,16],[4,12,13,15],[5,6,14,15],[5,8,9,11],[5,8,15,16],[5,10,12,14],[6,7,10,11],[6,7,13,14],[7,8,13,16],[7,9,12,16],[9,10,11,12]]; G[10]:=Group([(2,3)(5,7)(6,8)(9,10)(13,15)(14,16),(2,9)(3,10)(5,13)(6,14)(7,15)(8,16),(1,4)(5,7)(6,14)(8,16)(11,12)(13,15),(1,11)(4,12)(5,13)(6,16)(7,15)(8,14)]); R[10]:=[]; RG[10]:=[]; # Design 10 / Resolution 1: autom. group order 4 R[10][1]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,16,21,26],[10,15,20,27]]; RG[10][1]:=Group([(1,12)(2,10)(3,9)(4,11)(6,14)(8,16),(2,3)(5,7)(6,8)(9,10)(13,15)(14,16)]); # Design 10 / Resolution 2: autom. group order 4 R[10][2]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,16,21,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,14,24,26],[10,15,20,27]]; RG[10][2]:=Group([(1,12)(2,10)(3,9)(4,11)(6,14)(8,16),(2,3)(5,7)(6,8)(9,10)(13,15)(14,16)]); # Design 11: 2 resolution(s), autom. group order 16, simple D[11]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,13,15],[1,10,14,16],[1,11,15,16],[2,3,11,12],[2,4,7,13],[2,5,9,16],[2,6,8,10],[2,7,9,15],[2,8,12,16],[2,10,13,14],[2,11,14,15],[3,4,5,14],[3,5,10,16],[3,6,8,9],[3,6,12,15],[3,7,10,15],[3,9,13,14],[3,11,13,16],[4,5,7,12],[4,6,9,16],[4,6,11,13],[4,8,10,15],[4,8,11,14],[4,12,15,16],[5,6,14,15],[5,8,9,11],[5,8,13,15],[5,10,12,13],[6,7,10,11],[6,7,14,16],[7,8,13,16],[7,9,12,14],[9,10,11,12]]; G[11]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,13)(7,16)(8,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(4,12)(5,15)(6,14)(7,16)(8,13)]); R[11]:=[]; RG[11]:=[]; # Design 11 / Resolution 1: autom. group order 4 R[11][1]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[11][1]:=Group([(1,4)(2,10)(3,9)(5,15)(6,8)(7,16)(11,12)(13,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 11 / Resolution 2: autom. group order 4 R[11][2]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,15,20,30],[7,13,23,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[11][2]:=Group([(1,4)(2,10)(3,9)(5,15)(6,8)(7,16)(11,12)(13,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 12: 2 resolution(s), autom. group order 16, simple D[12]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,10,11],[1,7,12,13],[1,8,14,15],[1,9,10,16],[1,11,12,14],[1,13,15,16],[2,3,8,15],[2,4,6,12],[2,5,11,16],[2,7,8,13],[2,7,12,14],[2,9,10,14],[2,9,15,16],[2,10,11,13],[3,4,14,16],[3,5,12,16],[3,6,8,10],[3,6,11,15],[3,7,9,11],[3,9,13,14],[3,10,12,13],[4,5,8,13],[4,5,11,14],[4,6,7,9],[4,7,10,16],[4,10,12,15],[4,11,13,15],[5,6,9,13],[5,7,10,15],[5,8,10,14],[5,9,12,15],[6,7,14,15],[6,8,12,16],[6,13,14,16],[7,8,11,16],[8,9,11,12]]; G[12]:=Group([(1,2)(3,6)(4,5)(7,12)(8,11)(9,16)(10,15)(13,14),(1,3,8,12)(2,6,11,7)(4,10,9,13)(5,15,16,14),(1,4,8,9)(2,5,11,16)(3,13,12,10)(6,14,7,15)]); R[12]:=[]; RG[12]:=[]; # Design 12 / Resolution 1: autom. group order 16 R[12][1]:=[[1,33,38,40],[2,24,30,39],[3,16,31,37],[4,13,25,36],[5,14,19,35],[6,17,21,27],[7,18,20,28],[8,15,22,26],[9,11,29,32],[10,12,23,34]]; RG[12][1]:=Group([(1,8)(2,11)(3,12)(4,9)(5,16)(6,7)(10,13)(14,15),(1,14,8,15)(2,13,11,10)(3,16,12,5)(4,6,9,7),(1,4,8,9)(2,5,11,16)(3,13,12,10)(6,14,7,15),(1,12,8,3)(2,7,11,6)(4,13,9,10)(5,14,16,15)]); # Design 12 / Resolution 2: autom. group order 16 R[12][2]:=[[1,33,38,40],[2,24,30,39],[3,16,31,37],[4,18,20,36],[5,14,19,35],[6,17,21,27],[7,13,25,28],[8,15,22,26],[9,11,29,32],[10,12,23,34]]; RG[12][2]:=Group([(1,8)(2,11)(3,12)(4,9)(5,16)(6,7)(10,13)(14,15),(1,14,8,15)(2,13,11,10)(3,16,12,5)(4,6,9,7),(1,4,8,9)(2,5,11,16)(3,13,12,10)(6,14,7,15),(1,12,8,3)(2,7,11,6)(4,13,9,10)(5,14,16,15)]); # Design 13: 2 resolution(s), autom. group order 16, simple D[13]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,13,15],[1,10,14,16],[1,11,15,16],[2,3,11,12],[2,4,7,13],[2,5,9,16],[2,6,8,10],[2,7,9,15],[2,8,11,16],[2,10,13,14],[2,12,14,15],[3,4,5,14],[3,5,10,16],[3,6,8,9],[3,6,11,15],[3,7,10,15],[3,9,13,14],[3,12,13,16],[4,5,7,12],[4,6,9,16],[4,6,11,13],[4,8,10,15],[4,8,11,14],[4,12,15,16],[5,6,14,15],[5,8,9,12],[5,8,13,15],[5,10,11,13],[6,7,10,12],[6,7,14,16],[7,8,13,16],[7,9,11,14],[9,10,11,12]]; G[13]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,13)(7,16)(8,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(4,12)(5,16)(6,8)(7,15)(13,14)]); R[13]:=[]; RG[13]:=[]; # Design 13 / Resolution 1: autom. group order 4 R[13][1]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[13][1]:=Group([(2,10)(3,9)(5,16)(6,14)(7,15)(8,13),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 13 / Resolution 2: autom. group order 4 R[13][2]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,15,20,30],[7,13,23,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[13][2]:=Group([(2,10)(3,9)(5,16)(6,14)(7,15)(8,13),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 14: 2 resolution(s), autom. group order 16, simple D[14]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,14,15],[1,10,13,16],[1,11,15,16],[2,3,11,12],[2,4,7,13],[2,5,9,15],[2,6,8,10],[2,7,9,16],[2,8,11,15],[2,10,13,14],[2,12,14,16],[3,4,5,14],[3,5,10,15],[3,6,8,9],[3,6,11,16],[3,7,10,16],[3,9,13,14],[3,12,13,15],[4,5,7,12],[4,6,10,15],[4,6,11,13],[4,8,9,16],[4,8,11,14],[4,12,15,16],[5,6,14,16],[5,8,10,12],[5,8,13,16],[5,9,11,13],[6,7,9,12],[6,7,14,15],[7,8,13,15],[7,10,11,14],[9,10,11,12]]; G[14]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,14)(7,16)(8,13),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(4,12)(5,15)(6,8)(7,16)(13,14)]); R[14]:=[]; RG[14]:=[]; # Design 14 / Resolution 1: autom. group order 4 R[14][1]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,12,22,33],[9,16,19,36],[10,17,21,26]]; RG[14][1]:=Group([(2,10)(3,9)(5,16)(6,13)(7,15)(8,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 14 / Resolution 2: autom. group order 4 R[14][2]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,15,20,30],[7,13,23,28],[8,12,22,33],[9,16,19,36],[10,17,21,26]]; RG[14][2]:=Group([(2,10)(3,9)(5,16)(6,13)(7,15)(8,14),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16)]); # Design 15: 2 resolution(s), autom. group order 16, simple D[15]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,14,15],[1,10,13,16],[1,11,15,16],[2,3,11,12],[2,4,7,13],[2,5,9,16],[2,6,8,10],[2,7,9,15],[2,8,11,15],[2,10,13,14],[2,12,14,16],[3,4,5,14],[3,5,10,16],[3,6,8,9],[3,6,11,16],[3,7,10,15],[3,9,13,14],[3,12,13,15],[4,5,7,12],[4,6,10,15],[4,6,11,13],[4,8,9,16],[4,8,11,14],[4,12,15,16],[5,6,14,15],[5,8,10,12],[5,8,13,15],[5,9,11,13],[6,7,9,12],[6,7,14,16],[7,8,13,16],[7,10,11,14],[9,10,11,12]]; G[15]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,14)(7,16)(8,13),(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(4,12)(5,15)(6,8)(7,16)(13,14)]); R[15]:=[]; RG[15]:=[]; # Design 15 / Resolution 1: autom. group order 4 R[15][1]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,12,22,33],[9,16,19,36],[10,17,21,26]]; RG[15][1]:=Group([(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(2,3)(4,12)(5,16)(7,15)(9,10)]); # Design 15 / Resolution 2: autom. group order 4 R[15][2]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,17,21,31],[6,13,23,30],[7,15,20,28],[8,12,22,33],[9,16,19,36],[10,14,24,26]]; RG[15][2]:=Group([(1,4)(5,7)(6,13)(8,14)(11,12)(15,16),(1,11)(2,3)(4,12)(5,16)(7,15)(9,10)]); # Design 16: 1 resolution(s), autom. group order 16 D[16]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,8,9],[2,5,11,15],[2,6,8,12],[2,6,10,15],[2,7,9,16],[2,7,12,13],[2,10,13,14],[2,11,14,16],[3,5,8,13],[3,5,10,14],[3,6,8,16],[3,6,11,14],[3,7,10,16],[3,7,11,13],[3,9,12,15],[3,9,12,15],[4,5,9,14],[4,5,15,16],[4,6,12,14],[4,6,13,15],[4,7,9,11],[4,7,10,12],[4,8,10,13],[4,8,11,16],[5,10,11,12],[5,12,13,16],[6,9,10,11],[6,9,13,16],[7,8,14,15],[7,8,14,15]]; G[16]:=Group([(5,6)(9,12)(10,11)(13,16),(2,4)(8,14)(10,13)(11,16),(1,3)(5,9)(6,12)(7,15)(10,13)(11,16),(1,7)(2,8)(3,15)(4,14)(10,16)(11,13)]); R[16]:=[]; RG[16]:=[]; # Design 16 / Resolution 1: autom. group order 8 R[16][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,15,20,30],[7,12,21,32],[8,13,24,27],[9,11,23,29],[10,14,19,31]]; RG[16][1]:=Group([(2,4)(8,14)(10,13)(11,16),(5,6)(9,12)(10,11)(13,16),(1,3)(5,12)(6,9)(7,15)(10,16)(11,13)]); # Design 17: 2 resolution(s), autom. group order 16, simple D[17]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,12,14],[1,9,14,15],[1,10,13,16],[1,11,15,16],[2,3,11,12],[2,4,7,14],[2,5,9,16],[2,6,8,10],[2,7,9,15],[2,8,12,16],[2,10,13,14],[2,11,13,15],[3,4,5,13],[3,5,10,16],[3,6,8,9],[3,6,12,15],[3,7,10,15],[3,9,13,14],[3,11,14,16],[4,5,7,12],[4,6,9,16],[4,6,11,13],[4,8,10,15],[4,8,11,14],[4,12,15,16],[5,6,14,15],[5,8,9,11],[5,8,13,15],[5,10,12,14],[6,7,10,11],[6,7,14,16],[7,8,13,16],[7,9,12,13],[9,10,11,12]]; G[17]:=Group([(2,3)(5,7)(6,8)(9,10)(13,14)(15,16),(2,9)(3,10)(5,15)(6,14)(7,16)(8,13),(1,4)(5,7)(6,14)(8,13)(11,12)(15,16),(1,11)(4,12)(5,15)(6,13)(7,16)(8,14)]); R[17]:=[]; RG[17]:=[]; # Design 17 / Resolution 1: autom. group order 4 R[17][1]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,15,20,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[17][1]:=Group([(1,11)(4,12)(5,15)(6,13)(7,16)(8,14),(1,4)(2,10)(3,9)(5,15)(6,8)(7,16)(11,12)(13,14)]); # Design 17 / Resolution 2: autom. group order 4 R[17][2]:=[[1,32,38,40],[2,25,29,39],[3,18,27,35],[4,11,34,37],[5,14,24,31],[6,15,20,30],[7,13,23,28],[8,16,19,36],[9,12,22,33],[10,17,21,26]]; RG[17][2]:=Group([(1,11)(4,12)(5,15)(6,13)(7,16)(8,14),(1,4)(2,10)(3,9)(5,15)(6,8)(7,16)(11,12)(13,14)]); # Design 18: 3 resolution(s), autom. group order 16 D[18]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,11],[2,5,13,14],[2,6,8,9],[2,6,13,15],[2,7,12,15],[2,8,10,14],[2,9,12,16],[2,10,11,16],[3,5,8,10],[3,5,14,16],[3,6,7,12],[3,6,15,16],[3,7,11,14],[3,8,9,15],[3,9,12,13],[3,10,11,13],[4,5,9,16],[4,5,12,13],[4,6,10,13],[4,6,11,16],[4,7,9,10],[4,7,14,15],[4,8,11,12],[4,8,14,15],[5,9,11,15],[5,10,12,15],[6,9,11,14],[6,10,12,14],[7,8,13,16],[7,8,13,16]]; G[18]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,14)(6,15)(7,8)(9,12)(10,11),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); R[18]:=[]; RG[18]:=[]; # Design 18 / Resolution 1: autom. group order 16 R[18][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,14,20,33],[6,12,22,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[18][1]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); # Design 18 / Resolution 2: autom. group order 8 R[18][2]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,12,22,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[18][2]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 18 / Resolution 3: autom. group order 16 R[18][3]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,12,22,33],[6,14,20,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[18][3]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); # Design 19: 4 resolution(s), autom. group order 16, decomposable D[19]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,8,9],[2,5,15,16],[2,6,8,11],[2,6,10,14],[2,7,9,14],[2,7,11,15],[2,10,12,13],[2,12,13,16],[3,5,8,12],[3,5,13,15],[3,6,8,16],[3,6,13,14],[3,7,10,15],[3,7,12,14],[3,9,10,11],[3,9,11,16],[4,5,9,13],[4,5,10,12],[4,6,10,16],[4,6,11,13],[4,7,9,16],[4,7,11,12],[4,8,14,15],[4,8,14,15],[5,10,11,14],[5,11,14,16],[6,9,12,15],[6,9,12,15],[7,8,10,13],[7,8,13,16]]; G[19]:=Group([(2,3)(5,7)(8,14)(9,12)(10,16)(11,13),(2,5)(3,7)(4,6)(8,9)(11,13)(12,14),(1,4)(5,14)(6,15)(7,8)(10,16)]); R[19]:=[]; RG[19]:=[]; # Design 19 / Resolution 1: autom. group order 16, decomposable R[19][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,12,22,32],[6,14,20,31],[7,16,21,28],[8,11,24,30],[9,15,19,29],[10,13,23,27]]; RG[19][1]:=Group([(1,4)(5,14)(6,15)(7,8)(10,16),(2,3)(5,7)(8,14)(9,12)(10,16)(11,13),(1,6)(2,12)(3,9)(4,15)(10,16),(2,7)(3,5)(4,6)(8,12)(9,14)(10,16)]); # Design 19 / Resolution 2: autom. group order 16 R[19][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,12,22,32],[6,14,20,31],[7,16,21,28],[8,15,19,30],[9,11,24,29],[10,13,23,27]]; RG[19][2]:=Group([(2,3)(5,7)(8,14)(9,12)(10,16)(11,13),(2,7)(3,5)(4,6)(8,12)(9,14)(10,16),(1,4)(5,14)(6,15)(7,8)(10,16)]); # Design 19 / Resolution 3: autom. group order 4 R[19][3]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,12,22,32],[6,14,20,31],[7,16,19,29],[8,11,24,30],[9,15,21,28],[10,13,23,27]]; RG[19][3]:=Group([(2,7)(3,5)(4,6)(8,12)(9,14)(10,16),(1,15)(2,14)(3,8)(5,12)(7,9)(11,13)]); # Design 19 / Resolution 4: autom. group order 4 R[19][4]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,12,22,32],[6,14,20,31],[7,16,19,29],[8,13,24,27],[9,15,21,28],[10,11,23,30]]; RG[19][4]:=Group([(1,4)(5,14)(6,15)(7,8)(10,16),(1,6)(2,9)(3,12)(4,15)(5,7)(8,14)(11,13)]); # Design 20: 1 resolution(s), autom. group order 16 D[20]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,8,9],[2,5,11,15],[2,6,8,12],[2,6,10,15],[2,7,9,16],[2,7,12,13],[2,10,11,14],[2,13,14,16],[3,5,8,13],[3,5,10,14],[3,6,8,16],[3,6,11,14],[3,7,10,16],[3,7,11,13],[3,9,12,15],[3,9,12,15],[4,5,9,14],[4,5,15,16],[4,6,12,14],[4,6,13,15],[4,7,9,11],[4,7,10,12],[4,8,10,11],[4,8,13,16],[5,10,12,13],[5,11,12,16],[6,9,10,13],[6,9,11,16],[7,8,14,15],[7,8,14,15]]; G[20]:=Group([(5,6)(9,12)(10,11)(13,16),(2,4)(8,14)(10,13)(11,16),(1,3)(5,9)(6,12)(7,15)(10,13)(11,16),(1,7)(2,8)(3,15)(4,14)(10,16)(11,13)]); R[20]:=[]; RG[20]:=[]; # Design 20 / Resolution 1: autom. group order 8 R[20][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,15,20,30],[7,12,21,32],[8,13,24,27],[9,11,23,29],[10,14,19,31]]; RG[20][1]:=Group([(2,4)(8,14)(10,13)(11,16),(5,6)(9,12)(10,11)(13,16),(1,3)(5,12)(6,9)(7,15)(10,16)(11,13)]); # Design 21: 1 resolution(s), autom. group order 16 D[21]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,11],[2,5,15,16],[2,6,8,9],[2,6,14,16],[2,7,12,15],[2,8,10,14],[2,9,11,13],[2,10,12,13],[3,5,8,10],[3,5,13,15],[3,6,7,12],[3,6,13,14],[3,7,11,14],[3,8,9,15],[3,9,11,16],[3,10,12,16],[4,5,9,16],[4,5,12,13],[4,6,10,13],[4,6,11,16],[4,7,9,10],[4,7,14,15],[4,8,11,12],[4,8,14,15],[5,9,12,14],[5,10,11,14],[6,9,12,15],[6,10,11,15],[7,8,13,16],[7,8,13,16]]; G[21]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,14)(6,15)(7,8)(9,12)(10,11),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); R[21]:=[]; RG[21]:=[]; # Design 21 / Resolution 1: autom. group order 4 R[21][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,12,22,33],[6,14,20,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[21][1]:=Group([(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,7)(2,16,3,13)(4,8)(5,10,6,9)(11,15,12,14)]); # Design 22: 1 resolution(s), autom. group order 16 D[22]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,12,14],[1,9,10,15],[1,11,14,16],[1,13,15,16],[2,5,6,14],[2,5,7,12],[2,6,8,13],[2,7,8,16],[2,9,10,14],[2,9,11,13],[2,10,15,16],[2,11,12,15],[3,5,10,12],[3,5,11,16],[3,6,7,15],[3,6,10,13],[3,7,9,11],[3,8,9,14],[3,8,13,16],[3,12,14,15],[4,5,9,13],[4,5,10,16],[4,6,8,15],[4,6,11,14],[4,7,9,15],[4,7,14,16],[4,8,10,12],[4,11,12,13],[5,8,11,15],[5,13,14,15],[6,9,12,16],[6,9,12,16],[7,8,10,11],[7,10,13,14]]; G[22]:=Group([(3,4)(5,10)(6,9)(7,15)(8,11)(12,16),(1,2)(5,7)(6,12)(9,16)(10,15)(13,14),(1,3)(2,4)(5,15)(8,14)(9,12)(11,13),(1,6,2,16)(3,9,4,12)(5,8,15,11)(7,13,10,14)]); R[22]:=[]; RG[22]:=[]; # Design 22 / Resolution 1: autom. group order 16 R[22][1]:=[[1,35,37,40],[2,36,38,39],[3,17,24,34],[4,18,22,32],[5,14,26,27],[6,15,20,29],[7,16,21,28],[8,12,25,30],[9,13,19,31],[10,11,23,33]]; RG[22][1]:=Group([(3,4)(5,10)(6,9)(7,15)(8,11)(12,16),(1,2)(5,7)(6,12)(9,16)(10,15)(13,14),(1,3)(2,4)(5,15)(8,14)(9,12)(11,13),(1,12,2,9)(3,6,4,16)(5,13,15,14)(7,11,10,8)]); # Design 23: 1 resolution(s), autom. group order 16 D[23]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,10],[1,11,12,13],[1,11,12,13],[1,14,15,16],[1,14,15,16],[2,5,8,11],[2,5,8,14],[2,6,12,15],[2,6,13,16],[2,7,9,12],[2,7,10,15],[2,9,11,16],[2,10,13,14],[3,5,12,15],[3,5,13,16],[3,6,8,11],[3,6,8,14],[3,7,9,13],[3,7,10,16],[3,9,11,15],[3,10,12,14],[4,5,9,16],[4,5,10,13],[4,6,9,15],[4,6,10,12],[4,7,11,14],[4,7,11,14],[4,8,12,16],[4,8,13,15],[5,9,12,14],[5,10,11,15],[6,9,13,14],[6,10,11,16],[7,8,12,16],[7,8,13,15]]; G[23]:=Group([(9,10)(11,14)(12,15)(13,16),(2,3)(5,6)(12,13)(15,16),(2,5)(3,6)(4,7)(11,14)(12,16)(13,15),(2,12,5,16)(3,13,6,15)(4,11,7,14)]); R[23]:=[]; RG[23]:=[]; # Design 23 / Resolution 1: autom. group order 16 R[23][1]:=[[1,35,38,40],[2,36,37,39],[3,17,26,34],[4,18,25,33],[5,13,20,31],[6,14,19,32],[7,12,24,29],[8,16,22,27],[9,11,23,30],[10,15,21,28]]; RG[23][1]:=Group([(2,3)(5,6)(12,13)(15,16),(2,6)(3,5)(4,7)(11,14)(12,15)(13,16),(2,15,5,13)(3,16,6,12)(4,14,7,11),(9,10)(11,14)(12,15)(13,16)]); # Design 24: 1 resolution(s), autom. group order 16 D[24]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,8,10],[1,7,11,12],[1,9,13,14],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,6,16],[2,5,7,9],[2,6,13,14],[2,7,11,15],[2,8,11,12],[2,8,14,15],[2,9,10,16],[2,10,12,13],[3,5,8,12],[3,5,13,15],[3,6,7,10],[3,6,11,16],[3,7,12,14],[3,8,10,15],[3,9,11,13],[3,9,14,16],[4,5,12,13],[4,5,15,16],[4,6,8,14],[4,6,11,13],[4,7,9,10],[4,7,14,15],[4,8,9,11],[4,10,12,16],[5,10,11,14],[5,10,11,14],[6,9,12,15],[6,9,12,15],[7,8,13,16],[7,8,13,16]]; G[24]:=Group([(5,11)(6,12)(8,16)(9,15)(10,14),(1,2)(3,4)(6,9)(8,16)(12,15),(1,3)(2,4)(6,15)(7,13)(9,12),(1,6)(2,15)(3,9)(4,12)(5,10)(7,8)(11,14)(13,16)]); R[24]:=[]; RG[24]:=[]; # Design 24 / Resolution 1: autom. group order 16 R[24][1]:=[[1,35,37,39],[2,36,38,40],[3,16,25,34],[4,18,22,32],[5,14,26,27],[6,17,20,29],[7,15,21,28],[8,11,23,33],[9,13,19,31],[10,12,24,30]]; RG[24][1]:=Group([(5,11)(6,12)(8,16)(9,15)(10,14),(1,2)(3,4)(5,11)(6,15)(9,12)(10,14),(1,4)(2,3)(5,11)(7,13)(10,14),(1,15)(2,6)(3,12)(4,9)(5,14)(7,8)(10,11)(13,16)]); # Design 25: 1 resolution(s), autom. group order 16 D[25]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,10,14],[1,9,14,15],[1,11,12,16],[1,13,15,16],[2,5,6,12],[2,5,7,16],[2,6,8,11],[2,7,13,15],[2,8,9,13],[2,9,10,11],[2,10,14,15],[2,12,14,16],[3,5,8,15],[3,5,10,12],[3,6,7,14],[3,6,9,13],[3,7,11,15],[3,8,12,14],[3,9,11,16],[3,10,13,16],[4,5,9,16],[4,5,10,15],[4,6,10,13],[4,6,14,16],[4,7,8,11],[4,7,9,14],[4,8,12,13],[4,11,12,15],[5,11,13,14],[5,11,13,14],[6,8,15,16],[6,9,12,15],[7,8,10,16],[7,9,10,12]]; G[25]:=Group([(3,4)(5,11)(7,10)(8,12)(9,16)(13,14),(1,2)(5,13)(6,15)(8,9)(11,14)(12,16),(1,3)(2,4)(5,14)(6,7)(9,12)(10,15),(1,5,4,13,2,14,3,11)(6,9,10,8,15,12,7,16)]); R[25]:=[]; RG[25]:=[]; # Design 25 / Resolution 1: autom. group order 16 R[25][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,33],[4,18,23,29],[5,14,24,27],[6,16,19,30],[7,12,22,34],[8,11,26,31],[9,15,21,28],[10,13,20,32]]; RG[25][1]:=Group([(3,4)(5,11)(7,10)(8,12)(9,16)(13,14),(1,2)(5,13)(6,15)(8,9)(11,14)(12,16),(1,3)(2,4)(5,14)(6,7)(9,12)(10,15),(1,13,3,5,2,11,4,14)(6,8,7,9,15,16,10,12)]); # Design 26: 1 resolution(s), autom. group order 16 D[26]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,8,9],[2,5,15,16],[2,6,8,14],[2,6,10,13],[2,7,9,13],[2,7,11,15],[2,10,12,14],[2,11,12,16],[3,5,8,12],[3,5,14,15],[3,6,8,16],[3,6,11,13],[3,7,10,15],[3,7,12,13],[3,9,10,14],[3,9,11,16],[4,5,9,11],[4,5,10,12],[4,6,10,11],[4,6,14,16],[4,7,9,16],[4,7,12,14],[4,8,13,15],[4,8,13,15],[5,10,13,16],[5,11,13,14],[6,9,12,15],[6,9,12,15],[7,8,10,16],[7,8,11,14]]; G[26]:=Group([(5,7)(8,13)(10,14)(11,16),(2,3)(9,12)(10,11)(14,16),(1,4)(5,8)(6,15)(7,13)(10,11)(14,16),(1,6)(2,9)(3,12)(4,15)(10,14)(11,16)]); R[26]:=[]; RG[26]:=[]; # Design 26 / Resolution 1: autom. group order 8 R[26][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,12,22,32],[6,14,20,31],[7,16,21,28],[8,15,19,30],[9,13,23,27],[10,11,24,29]]; RG[26][1]:=Group([(5,7)(8,13)(10,14)(11,16),(1,6)(2,9)(3,12)(4,15)(10,14)(11,16),(1,4)(2,3)(5,13)(6,15)(7,8)(9,12)(10,14)(11,16)]); # Design 27: 1 resolution(s), autom. group order 16 D[27]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,8,9],[2,5,10,15],[2,6,8,12],[2,6,11,15],[2,7,9,16],[2,7,12,14],[2,10,13,14],[2,11,13,16],[3,5,8,16],[3,5,11,13],[3,6,8,14],[3,6,10,13],[3,7,10,11],[3,7,14,16],[3,9,12,15],[3,9,12,15],[4,5,9,13],[4,5,14,15],[4,6,12,13],[4,6,15,16],[4,7,9,11],[4,7,10,12],[4,8,10,14],[4,8,11,16],[5,10,12,16],[5,11,12,14],[6,9,10,16],[6,9,11,14],[7,8,13,15],[7,8,13,15]]; G[27]:=Group([(5,6)(9,12)(10,11)(14,16),(2,4)(8,13)(10,14)(11,16),(1,3)(5,9)(6,12)(7,15)(10,16)(11,14),(1,7)(2,8)(3,15)(4,13)(10,16)(11,14)]); R[27]:=[]; RG[27]:=[]; # Design 27 / Resolution 1: autom. group order 8 R[27][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,20,30],[6,15,22,28],[7,14,19,32],[8,11,24,29],[9,12,21,31],[10,13,23,27]]; RG[27][1]:=Group([(2,4)(8,13)(10,14)(11,16),(1,7)(2,13)(3,15)(4,8)(10,11)(14,16),(1,3)(5,9)(6,12)(7,15)(10,16)(11,14)]); # Design 28: 1 resolution(s), autom. group order 16 D[28]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,8,9],[2,5,10,15],[2,6,8,12],[2,6,11,15],[2,7,9,16],[2,7,12,14],[2,10,13,16],[2,11,13,14],[3,5,8,16],[3,5,11,13],[3,6,8,14],[3,6,10,13],[3,7,10,11],[3,7,14,16],[3,9,12,15],[3,9,12,15],[4,5,9,13],[4,5,14,15],[4,6,12,13],[4,6,15,16],[4,7,9,11],[4,7,10,12],[4,8,10,16],[4,8,11,14],[5,10,12,14],[5,11,12,16],[6,9,10,14],[6,9,11,16],[7,8,13,15],[7,8,13,15]]; G[28]:=Group([(5,6)(9,12)(10,11)(14,16),(2,4)(8,13)(10,14)(11,16),(1,3)(5,9)(6,12)(7,15)(10,16)(11,14),(1,7)(2,8)(3,15)(4,13)(10,16)(11,14)]); R[28]:=[]; RG[28]:=[]; # Design 28 / Resolution 1: autom. group order 8 R[28][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,20,30],[6,15,22,28],[7,14,19,32],[8,11,24,29],[9,12,21,31],[10,13,23,27]]; RG[28][1]:=Group([(2,4)(8,13)(10,14)(11,16),(1,3)(5,9)(6,12)(7,15)(10,16)(11,14),(1,7)(2,13)(3,15)(4,8)(10,11)(14,16)]); # Design 29: 4 resolution(s), autom. group order 16, simple D[29]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,8,16],[2,5,9,15],[2,6,8,11],[2,6,12,14],[2,7,11,15],[2,7,13,14],[2,9,10,16],[2,10,12,13],[3,4,12,15],[3,5,8,13],[3,6,8,10],[3,6,9,14],[3,7,10,15],[3,7,14,16],[3,9,11,16],[3,11,12,13],[4,5,9,13],[4,5,12,16],[4,6,10,13],[4,7,9,11],[4,8,14,15],[4,10,11,14],[5,6,11,16],[5,7,10,12],[5,8,14,15],[5,10,11,14],[6,9,12,15],[6,13,15,16],[7,8,9,12],[7,8,13,16]]; G[29]:=Group([(4,5)(6,7)(8,15)(9,16)(12,13),(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,6,3,7)(8,10,15,11)(9,16,13,12),(1,14)(2,8)(3,15)(6,11)(7,10)(9,13)]); R[29]:=[]; RG[29]:=[]; # Design 29 / Resolution 1: autom. group order 8 R[29][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,16,19,33],[6,12,24,29],[7,15,21,28],[8,14,20,30],[9,11,22,34],[10,13,23,27]]; RG[29][1]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,11)(3,10)(6,15)(7,8)(9,16)(12,13),(1,14)(2,8,3,15)(4,5)(6,10,7,11)(9,16,13,12)]); # Design 29 / Resolution 2: autom. group order 8 R[29][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,16,19,33],[6,12,24,29],[7,13,23,28],[8,14,20,30],[9,11,22,34],[10,15,21,27]]; RG[29][2]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,11)(3,10)(6,15)(7,8)(9,16)(12,13),(1,14)(2,8,3,15)(4,5)(6,10,7,11)(9,16,13,12)]); # Design 29 / Resolution 3: autom. group order 8 R[29][3]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,16,19,33],[6,12,24,29],[7,15,21,28],[8,14,20,30],[9,11,22,34],[10,13,23,27]]; RG[29][3]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,11)(3,10)(6,15)(7,8)(9,16)(12,13),(1,14)(2,8)(3,15)(6,11)(7,10)(9,13)]); # Design 29 / Resolution 4: autom. group order 8 R[29][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,16,19,33],[6,12,24,29],[7,13,23,28],[8,14,20,30],[9,11,22,34],[10,15,21,27]]; RG[29][4]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,11)(3,10)(6,15)(7,8)(9,16)(12,13),(1,14)(2,8)(3,15)(6,11)(7,10)(9,13)]); # Design 30: 4 resolution(s), autom. group order 16, simple D[30]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,8,16],[2,5,9,15],[2,6,8,11],[2,6,12,14],[2,7,11,15],[2,7,13,14],[2,9,10,12],[2,10,13,16],[3,4,12,15],[3,5,8,13],[3,6,8,10],[3,6,9,14],[3,7,10,15],[3,7,14,16],[3,9,11,12],[3,11,13,16],[4,5,9,13],[4,5,12,16],[4,6,10,13],[4,7,9,11],[4,8,14,15],[4,10,11,14],[5,6,11,16],[5,7,10,12],[5,8,14,15],[5,10,11,14],[6,9,15,16],[6,12,13,15],[7,8,9,16],[7,8,12,13]]; G[30]:=Group([(4,5)(6,7)(8,15)(9,16)(12,13),(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,6,3,7)(8,10,15,11)(9,16,13,12),(1,14)(2,8)(3,15)(6,11)(7,10)(9,13)]); R[30]:=[]; RG[30]:=[]; # Design 30 / Resolution 1: autom. group order 8 R[30][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,16,19,33],[6,12,24,29],[7,15,21,28],[8,14,20,30],[9,11,22,34],[10,13,23,27]]; RG[30][1]:=Group([(4,5)(6,7)(8,15)(9,16)(12,13),(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,7,3,6)(8,11,15,10)(9,12,13,16)]); # Design 30 / Resolution 2: autom. group order 8 R[30][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,16,19,33],[6,12,24,29],[7,13,23,28],[8,14,20,30],[9,11,22,34],[10,15,21,27]]; RG[30][2]:=Group([(4,5)(6,7)(8,15)(9,16)(12,13),(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,7,3,6)(8,11,15,10)(9,12,13,16)]); # Design 30 / Resolution 3: autom. group order 8 R[30][3]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,16,19,33],[6,12,24,29],[7,15,21,28],[8,14,20,30],[9,11,22,34],[10,13,23,27]]; RG[30][3]:=Group([(4,5)(6,7)(8,15)(9,16)(12,13),(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,8,3,15)(4,5)(6,10,7,11)(9,16,13,12)]); # Design 30 / Resolution 4: autom. group order 8 R[30][4]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,16,19,33],[6,12,24,29],[7,13,23,28],[8,14,20,30],[9,11,22,34],[10,15,21,27]]; RG[30][4]:=Group([(4,5)(6,7)(8,15)(9,16)(12,13),(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,15)(3,8)(6,10)(7,11)(12,16)]); # Design 31: 13 resolution(s), autom. group order 16, simple, decomposable D[31]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,8,15],[2,5,9,16],[2,6,8,10],[2,6,13,14],[2,7,10,16],[2,7,11,13],[2,9,11,12],[2,12,14,15],[3,4,11,16],[3,5,8,14],[3,6,8,12],[3,6,13,15],[3,7,9,13],[3,7,12,16],[3,9,10,11],[3,10,14,15],[4,5,9,14],[4,5,11,15],[4,6,9,12],[4,7,10,14],[4,8,13,16],[4,10,12,13],[5,6,10,11],[5,7,12,15],[5,8,13,16],[5,10,12,13],[6,9,15,16],[6,11,14,16],[7,8,9,15],[7,8,11,14]]; G[31]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,6,3,7)(8,12,16,10)(9,11,14,15),(1,13)(2,8)(3,16)(6,10)(7,12)(9,14)]); R[31]:=[]; RG[31]:=[]; # Design 31 / Resolution 1: autom. group order 8 R[31][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,15,21,28],[8,16,20,29],[9,13,24,27],[10,11,23,33]]; RG[31][1]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,12)(3,10)(6,8)(7,16)(9,15)(11,14)]); # Design 31 / Resolution 2: autom. group order 8 R[31][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,20,29],[9,15,21,27],[10,11,23,33]]; RG[31][2]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,12)(3,10)(6,8)(7,16)(9,15)(11,14)]); # Design 31 / Resolution 3: autom. group order 16 R[31][3]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,20,29],[9,15,21,27],[10,11,23,33]]; RG[31][3]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,12)(3,10)(6,8)(7,16)(9,15)(11,14),(1,13)(2,16)(3,8)(6,12)(7,10)(11,15)]); # Design 31 / Resolution 4: autom. group order 16 R[31][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,15,21,28],[8,16,20,29],[9,13,24,27],[10,11,23,33]]; RG[31][4]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,6,3,7)(8,12,16,10)(9,11,14,15),(1,13)(2,12)(3,10)(6,8)(7,16)(9,15)(11,14)]); # Design 31 / Resolution 5: autom. group order 16 R[31][5]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,15,21,28],[8,16,20,29],[9,13,24,27],[10,11,23,33]]; RG[31][5]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7,3,6)(8,10,16,12)(9,15,14,11),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 31 / Resolution 6: autom. group order 16, decomposable R[31][6]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,20,29],[9,15,21,27],[10,11,23,33]]; RG[31][6]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7,3,6)(8,10,16,12)(9,15,14,11),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 31 / Resolution 7: autom. group order 2 R[31][7]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][7]:=Group([(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 31 / Resolution 8: autom. group order 4 R[31][8]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][8]:=Group([(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15),(1,13)(2,16)(3,8)(6,12)(7,10)(11,15)]); # Design 31 / Resolution 9: autom. group order 4 R[31][9]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][9]:=Group([(2,7)(3,6)(4,5)(8,12)(9,14)(10,16),(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 31 / Resolution 10: autom. group order 4 R[31][10]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,14,24,28],[6,12,22,30],[7,13,19,34],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][10]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(1,13)(2,10)(3,12)(6,16)(7,8)(9,11)(14,15)]); # Design 31 / Resolution 11: autom. group order 4 R[31][11]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,14,24,28],[6,12,22,30],[7,13,19,34],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][11]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(1,13)(2,10)(3,12)(6,16)(7,8)(9,11)(14,15)]); # Design 31 / Resolution 12: autom. group order 4 R[31][12]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,24,28],[6,12,22,30],[7,13,19,34],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][12]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(1,13)(2,10)(3,12)(6,16)(7,8)(9,11)(14,15)]); # Design 31 / Resolution 13: autom. group order 4 R[31][13]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,14,24,28],[6,12,22,30],[7,13,19,34],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[31][13]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(1,13)(2,10)(3,12)(6,16)(7,8)(9,11)(14,15)]); # Design 32: 2 resolution(s), autom. group order 16, simple D[32]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,8,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,11,12],[2,4,7,14],[2,5,9,15],[2,6,10,16],[2,7,9,13],[2,8,10,14],[2,8,11,15],[2,12,13,16],[3,4,5,16],[3,5,10,15],[3,6,9,16],[3,6,11,13],[3,7,10,13],[3,8,9,14],[3,12,14,15],[4,5,7,12],[4,6,8,11],[4,6,9,15],[4,8,10,13],[4,11,14,16],[4,12,13,15],[5,6,13,14],[5,8,9,12],[5,8,13,16],[5,10,11,14],[6,7,10,12],[6,7,14,15],[7,8,15,16],[7,9,11,16],[9,10,11,12]]; G[32]:=Group([(2,3)(5,7)(6,8)(9,10)(13,15)(14,16),(2,9)(3,10)(5,13)(6,14)(7,15)(8,16),(1,4)(5,7)(6,14)(8,16)(11,12)(13,15),(1,11)(4,12)(5,15)(6,8)(7,13)(14,16)]); R[32]:=[]; RG[32]:=[]; # Design 32 / Resolution 1: autom. group order 4 R[32][1]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,14,24,31],[6,13,23,30],[7,17,19,36],[8,12,22,33],[9,16,21,26],[10,15,20,27]]; RG[32][1]:=Group([(2,3)(5,7)(6,8)(9,10)(13,15)(14,16),(1,12)(4,11)(5,13)(6,16)(7,15)(8,14)]); # Design 32 / Resolution 2: autom. group order 4 R[32][2]:=[[1,32,38,40],[2,25,29,39],[3,18,28,35],[4,11,34,37],[5,14,24,31],[6,15,20,30],[7,17,19,36],[8,12,22,33],[9,16,21,26],[10,13,23,27]]; RG[32][2]:=Group([(2,3)(5,7)(6,8)(9,10)(13,15)(14,16),(1,12)(4,11)(5,13)(6,16)(7,15)(8,14)]); # Design 33: 3 resolution(s), autom. group order 16 D[33]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,14,15],[1,9,14,16],[1,10,12,16],[1,11,13,15],[2,5,6,13],[2,5,7,10],[2,6,8,11],[2,7,9,12],[2,8,12,16],[2,9,11,15],[2,10,13,14],[2,14,15,16],[3,5,8,16],[3,5,13,15],[3,6,8,14],[3,6,9,12],[3,7,11,16],[3,7,13,14],[3,9,10,11],[3,10,12,15],[4,5,9,15],[4,5,10,16],[4,6,10,14],[4,6,12,15],[4,7,8,11],[4,7,9,14],[4,8,12,13],[4,11,13,16],[5,11,12,14],[5,11,12,14],[6,7,15,16],[6,9,13,16],[7,8,10,15],[8,9,10,13]]; G[33]:=Group([(3,4)(6,7)(8,9)(10,13)(11,12)(15,16),(1,2)(5,14)(6,15)(7,16)(8,13)(9,10),(1,3)(2,4)(5,11)(6,16)(8,10)(12,14),(1,5)(2,14)(3,11)(4,12)(6,8)(7,9)(10,16)(13,15)]); R[33]:=[]; RG[33]:=[]; # Design 33 / Resolution 1: autom. group order 16 R[33][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,33],[4,17,23,30],[5,15,20,32],[6,16,21,28],[7,12,22,34],[8,11,26,31],[9,13,24,27],[10,14,19,29]]; RG[33][1]:=Group([(3,4)(6,7)(8,9)(10,13)(11,12)(15,16),(1,3)(2,4)(5,11)(6,16)(8,10)(12,14),(1,5)(2,14)(3,11)(4,12)(6,8)(7,9)(10,16)(13,15)]); # Design 33 / Resolution 2: autom. group order 8 R[33][2]:=[[1,35,37,40],[2,36,38,39],[3,18,25,33],[4,17,23,30],[5,15,24,27],[6,16,21,28],[7,12,22,34],[8,11,26,31],[9,13,20,32],[10,14,19,29]]; RG[33][2]:=Group([(1,2)(3,4)(5,14)(6,16)(7,15)(8,10)(9,13)(11,12),(1,3,2,4)(5,11,14,12)(6,7,16,15)(8,9,10,13),(1,14)(2,5)(3,11)(4,12)(6,13)(7,10)(8,15)(9,16)]); # Design 33 / Resolution 3: autom. group order 16 R[33][3]:=[[1,35,37,40],[2,36,38,39],[3,18,25,33],[4,17,23,30],[5,15,24,27],[6,16,19,29],[7,12,22,34],[8,11,26,31],[9,13,20,32],[10,14,21,28]]; RG[33][3]:=Group([(3,4)(6,7)(8,9)(10,13)(11,12)(15,16),(1,2)(5,14)(6,15)(7,16)(8,13)(9,10),(1,3)(2,4)(5,11)(6,16)(8,10)(12,14),(1,14)(2,5)(3,12)(4,11)(6,10)(7,13)(8,16)(9,15)]); # Design 34: 2 resolution(s), autom. group order 16 D[34]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,8,9],[2,5,11,15],[2,6,8,12],[2,6,10,15],[2,7,9,16],[2,7,12,14],[2,10,13,14],[2,11,13,16],[3,5,8,14],[3,5,10,13],[3,6,8,16],[3,6,11,13],[3,7,10,11],[3,7,14,16],[3,9,12,15],[3,9,12,15],[4,5,9,13],[4,5,15,16],[4,6,12,13],[4,6,14,15],[4,7,9,11],[4,7,10,12],[4,8,10,14],[4,8,11,16],[5,10,12,16],[5,11,12,14],[6,9,10,16],[6,9,11,14],[7,8,13,15],[7,8,13,15]]; G[34]:=Group([(5,6)(9,12)(10,11)(14,16),(2,4)(8,13)(10,14)(11,16),(1,3)(5,9)(6,12)(7,15)(10,14)(11,16),(1,7)(2,8)(3,15)(4,13)(10,16)(11,14)]); R[34]:=[]; RG[34]:=[]; # Design 34 / Resolution 1: autom. group order 8 R[34][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,15,20,30],[7,12,21,32],[8,11,24,29],[9,14,19,31],[10,13,23,27]]; RG[34][1]:=Group([(2,4)(8,13)(10,14)(11,16),(1,7)(2,13)(3,15)(4,8)(10,11)(14,16),(1,3)(5,9)(6,12)(7,15)(10,14)(11,16)]); # Design 34 / Resolution 2: autom. group order 8 R[34][2]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,12,24,29],[6,15,20,30],[7,13,23,28],[8,16,21,27],[9,14,19,31],[10,11,22,32]]; RG[34][2]:=Group([(2,4)(8,13)(10,14)(11,16),(1,7)(2,13)(3,15)(4,8)(5,6)(9,12),(1,3)(5,12)(6,9)(7,15)(10,16)(11,14)]); # Design 35: 1 resolution(s), autom. group order 16 D[35]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,8,9],[2,5,11,15],[2,6,8,12],[2,6,10,15],[2,7,9,16],[2,7,12,13],[2,10,14,16],[2,11,13,14],[3,5,8,13],[3,5,10,14],[3,6,8,16],[3,6,11,14],[3,7,10,13],[3,7,11,16],[3,9,12,15],[3,9,12,15],[4,5,9,14],[4,5,15,16],[4,6,12,14],[4,6,13,15],[4,7,9,11],[4,7,10,12],[4,8,10,16],[4,8,11,13],[5,10,11,12],[5,12,13,16],[6,9,10,11],[6,9,13,16],[7,8,14,15],[7,8,14,15]]; G[35]:=Group([(5,6)(9,12)(10,11)(13,16),(2,4)(8,14)(10,13)(11,16),(1,3)(5,9)(6,12)(7,15)(10,13)(11,16),(1,7)(2,8)(3,15)(4,14)(10,16)(11,13)]); R[35]:=[]; RG[35]:=[]; # Design 35 / Resolution 1: autom. group order 8 R[35][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,15,20,30],[7,12,21,32],[8,13,24,27],[9,11,23,29],[10,14,19,31]]; RG[35][1]:=Group([(5,6)(9,12)(10,11)(13,16),(1,7)(2,8)(3,15)(4,14)(10,16)(11,13),(1,3)(2,4)(5,12)(6,9)(7,15)(8,14)(10,11)(13,16)]); # Design 36: 1 resolution(s), autom. group order 16 D[36]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,8,9],[2,5,11,15],[2,6,8,12],[2,6,10,15],[2,7,9,16],[2,7,12,13],[2,10,11,14],[2,13,14,16],[3,5,8,13],[3,5,10,14],[3,6,8,16],[3,6,11,14],[3,7,10,13],[3,7,11,16],[3,9,12,15],[3,9,12,15],[4,5,9,14],[4,5,15,16],[4,6,12,14],[4,6,13,15],[4,7,9,11],[4,7,10,12],[4,8,10,11],[4,8,13,16],[5,10,12,16],[5,11,12,13],[6,9,10,16],[6,9,11,13],[7,8,14,15],[7,8,14,15]]; G[36]:=Group([(5,6)(9,12)(10,11)(13,16),(2,4)(8,14)(10,13)(11,16),(1,3)(5,9)(6,12)(7,15)(10,13)(11,16),(1,7)(2,8)(3,15)(4,14)(10,16)(11,13)]); R[36]:=[]; RG[36]:=[]; # Design 36 / Resolution 1: autom. group order 8 R[36][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,15,20,30],[7,12,21,32],[8,13,24,27],[9,11,23,29],[10,14,19,31]]; RG[36][1]:=Group([(5,6)(9,12)(10,11)(13,16),(1,7)(2,8)(3,15)(4,14)(10,16)(11,13),(1,3)(2,4)(5,12)(6,9)(7,15)(8,14)(10,11)(13,16)]); # Design 37: 3 resolution(s), autom. group order 16, decomposable D[37]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,11],[2,5,14,16],[2,6,8,9],[2,6,15,16],[2,7,12,15],[2,8,10,14],[2,9,12,13],[2,10,11,13],[3,5,8,10],[3,5,13,14],[3,6,7,12],[3,6,13,15],[3,7,11,14],[3,8,9,15],[3,9,12,16],[3,10,11,16],[4,5,9,16],[4,5,12,13],[4,6,10,13],[4,6,11,16],[4,7,9,10],[4,7,14,15],[4,8,11,12],[4,8,14,15],[5,9,11,15],[5,10,12,15],[6,9,11,14],[6,10,12,14],[7,8,13,16],[7,8,13,16]]; G[37]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,14)(6,15)(7,8)(9,12)(10,11),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); R[37]:=[]; RG[37]:=[]; # Design 37 / Resolution 1: autom. group order 16 R[37][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,12,22,33],[6,14,20,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[37][1]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(7,8)(9,12)(10,11)(13,16),(1,7,4,8)(2,16,3,13)(5,9,15,11)(6,10,14,12)]); # Design 37 / Resolution 2: autom. group order 8 R[37][2]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,12,22,33],[6,14,20,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[37][2]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(7,8)(9,12)(10,11)(13,16)]); # Design 37 / Resolution 3: autom. group order 16, decomposable R[37][3]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,12,22,31],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[37][3]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,7)(2,13,3,16)(4,8)(5,9,6,10)(11,14,12,15)]); # Design 38: 1 resolution(s), autom. group order 16 D[38]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,11],[2,5,8,10],[2,6,12,13],[2,6,14,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[2,11,13,15],[3,5,11,14],[3,5,13,16],[3,6,7,12],[3,6,9,14],[3,7,10,15],[3,8,10,15],[3,8,12,16],[3,9,11,13],[4,5,10,13],[4,5,14,16],[4,6,8,15],[4,6,9,13],[4,7,11,12],[4,7,15,16],[4,8,11,12],[4,9,10,14],[5,9,12,15],[5,9,12,15],[6,10,11,16],[6,10,11,16],[7,8,13,14],[7,8,13,14]]; G[38]:=Group([(3,4)(7,8)(10,11)(12,15)(13,14),(1,2)(5,9)(6,16)(7,8)(13,14),(1,3)(2,4)(5,15)(6,10)(9,12)(11,16)(13,14),(1,5)(2,9)(3,12)(4,15)(10,11)(13,14)]); R[38]:=[]; RG[38]:=[]; # Design 38 / Resolution 1: autom. group order 16 R[38][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,13,23,28],[7,15,19,29],[8,16,21,27],[9,11,24,30],[10,12,22,31]]; RG[38][1]:=Group([(1,5)(2,9)(3,15)(4,12)(7,8),(1,9)(2,5)(3,15)(4,12)(6,16)(13,14),(1,5)(2,9)(3,12)(4,15)(10,11)(13,14),(1,3)(2,4)(5,15)(6,10)(9,12)(11,16)(13,14)]); # Design 39: 1 resolution(s), autom. group order 16, decomposable D[39]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,7,16],[2,5,8,16],[2,6,12,14],[2,6,13,15],[2,7,9,10],[2,8,9,11],[2,10,12,14],[2,11,13,15],[3,5,10,15],[3,5,11,12],[3,6,7,14],[3,6,8,13],[3,7,11,14],[3,8,10,13],[3,9,12,16],[3,9,15,16],[4,5,10,15],[4,5,11,12],[4,6,9,12],[4,6,9,15],[4,7,11,13],[4,7,13,16],[4,8,10,14],[4,8,14,16],[5,9,13,14],[5,9,13,14],[6,10,11,16],[6,10,11,16],[7,8,12,15],[7,8,12,15]]; G[39]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(6,16)(13,14),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)(10,11)(13,14),(1,7)(2,8)(3,12)(4,15)(5,9)(6,10)(11,16)(13,14)]); R[39]:=[]; RG[39]:=[]; # Design 39 / Resolution 1: autom. group order 16, decomposable R[39][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,33],[4,17,26,31],[5,14,20,34],[6,13,19,32],[7,12,23,30],[8,11,24,29],[9,16,21,27],[10,15,22,28]]; RG[39][1]:=Group([(7,8)(10,11)(12,15)(13,14),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)(10,11)(13,14),(1,2)(3,4)(6,16)(13,14),(1,12)(2,15)(3,7)(4,8)(6,11)(10,16)]); # Design 40: 16 resolution(s), autom. group order 16, simple, decomposable D[40]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,10,14],[1,9,12,15],[1,11,13,16],[1,14,15,16],[2,4,8,11],[2,5,6,15],[2,6,9,10],[2,7,8,10],[2,7,15,16],[2,9,13,16],[2,11,12,14],[2,12,13,14],[3,4,9,13],[3,5,7,14],[3,6,9,12],[3,6,14,16],[3,7,8,12],[3,8,11,16],[3,10,11,15],[3,10,13,15],[4,5,11,13],[4,5,14,15],[4,6,7,16],[4,8,12,15],[4,9,10,14],[4,10,12,16],[5,6,11,12],[5,7,10,13],[5,8,9,16],[5,10,12,16],[6,8,13,14],[6,8,13,15],[7,9,11,14],[7,9,11,15]]; G[40]:=Group([(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,4,16,5)(2,6,10,9)(3,7,12,8)(11,14,13,15),(1,11,16,13)(2,7,10,8)(3,9,12,6)(4,15,5,14)]); R[40]:=[]; RG[40]:=[]; # Design 40 / Resolution 1: autom. group order 8 R[40][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,29],[5,16,20,30],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,13,23,28],[10,14,21,27]]; RG[40][1]:=Group([(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,16)(2,12)(3,10)(4,5)(6,8)(7,9),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 40 / Resolution 2: autom. group order 16 R[40][2]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,29],[5,16,20,30],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,13,23,28],[10,14,21,27]]; RG[40][2]:=Group([(1,14)(3,12)(4,11)(5,13)(6,9)(15,16),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,5,16,4)(2,9,10,6)(3,8,12,7)(11,15,13,14)]); # Design 40 / Resolution 3: autom. group order 8 R[40][3]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,29],[5,16,20,30],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,14,21,28],[10,13,23,27]]; RG[40][3]:=Group([(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,16)(2,12)(3,10)(4,5)(6,8)(7,9),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 40 / Resolution 4: autom. group order 16 R[40][4]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,29],[5,16,20,30],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,14,21,28],[10,13,23,27]]; RG[40][4]:=Group([(1,14)(3,12)(4,11)(5,13)(6,9)(15,16),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,5,16,4)(2,9,10,6)(3,8,12,7)(11,15,13,14)]); # Design 40 / Resolution 5: autom. group order 16 R[40][5]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,29],[5,16,20,30],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,14,21,28],[10,13,23,27]]; RG[40][5]:=Group([(1,14)(3,12)(4,11)(5,13)(6,9)(15,16),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,5,16,4)(2,9,10,6)(3,8,12,7)(11,15,13,14)]); # Design 40 / Resolution 6: autom. group order 16, decomposable R[40][6]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,29],[5,16,20,30],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,13,23,28],[10,14,21,27]]; RG[40][6]:=Group([(1,14)(3,12)(4,11)(5,13)(6,9)(15,16),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,13)(2,6)(3,8)(4,14)(5,15)(7,12)(9,10)(11,16)]); # Design 40 / Resolution 7: autom. group order 4 R[40][7]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,29],[5,16,23,28],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,13,20,30],[10,14,21,27]]; RG[40][7]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 40 / Resolution 8: autom. group order 8 R[40][8]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,29],[5,16,23,28],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,13,20,30],[10,14,21,27]]; RG[40][8]:=Group([(1,15,16,14)(2,3,10,12)(4,13,5,11)(6,8,9,7),(1,4,16,5)(2,7,10,8)(3,6,12,9)(11,15,13,14)]); # Design 40 / Resolution 9: autom. group order 4 R[40][9]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,29],[5,16,20,30],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,23,28],[10,14,19,33]]; RG[40][9]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,13)(2,6)(3,8)(4,14)(5,15)(7,12)(9,10)(11,16)]); # Design 40 / Resolution 10: autom. group order 8 R[40][10]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,29],[5,16,20,30],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,23,28],[10,14,19,33]]; RG[40][10]:=Group([(1,14)(3,12)(4,11)(5,13)(6,9)(15,16),(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,4,16,5)(2,6,10,9)(3,7,12,8)(11,14,13,15)]); # Design 40 / Resolution 11: autom. group order 8 R[40][11]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,29],[5,16,20,30],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,23,28],[10,14,19,33]]; RG[40][11]:=Group([(1,14)(3,12)(4,11)(5,13)(6,9)(15,16),(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,5,16,4)(2,9,10,6)(3,8,12,7)(11,15,13,14)]); # Design 40 / Resolution 12: autom. group order 8 R[40][12]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,29],[5,16,23,28],[6,12,24,31],[7,15,19,33],[8,11,22,34],[9,13,20,30],[10,14,21,27]]; RG[40][12]:=Group([(1,15,16,14)(2,3,10,12)(4,13,5,11)(6,8,9,7),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 40 / Resolution 13: autom. group order 4 R[40][13]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,29],[5,16,23,28],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,20,30],[10,14,19,33]]; RG[40][13]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 40 / Resolution 14: autom. group order 4 R[40][14]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,29],[5,16,23,28],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,20,30],[10,14,19,33]]; RG[40][14]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 40 / Resolution 15: autom. group order 4 R[40][15]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,29],[5,16,23,28],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,20,30],[10,14,19,33]]; RG[40][15]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,13)(2,6)(3,8)(4,14)(5,15)(7,12)(9,10)(11,16)]); # Design 40 / Resolution 16: autom. group order 4 R[40][16]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,29],[5,16,23,28],[6,12,24,31],[7,15,21,27],[8,11,22,34],[9,13,20,30],[10,14,19,33]]; RG[40][16]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,11)(2,9)(3,7)(4,15)(5,14)(6,10)(8,12)(13,16)]); # Design 41: 2 resolution(s), autom. group order 16 D[41]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,15],[2,5,9,14],[2,6,8,10],[2,6,13,16],[2,7,11,13],[2,8,10,14],[2,9,12,16],[2,11,12,15],[3,5,8,16],[3,5,11,14],[3,6,7,12],[3,6,13,15],[3,7,12,14],[3,8,9,13],[3,9,10,16],[3,10,11,15],[4,5,9,11],[4,5,15,16],[4,6,9,12],[4,6,10,11],[4,7,10,16],[4,7,13,14],[4,8,12,15],[4,8,13,14],[5,10,12,13],[5,10,12,13],[6,9,14,15],[6,11,14,16],[7,8,9,15],[7,8,11,16]]; G[41]:=Group([(2,3)(7,8)(9,11)(10,12)(15,16),(1,2)(3,4)(5,10)(6,8)(7,14)(11,16)(12,13),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); R[41]:=[]; RG[41]:=[]; # Design 41 / Resolution 1: autom. group order 8 R[41][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,12,22,31],[7,16,21,28],[8,15,19,29],[9,11,24,30],[10,13,23,27]]; RG[41][1]:=Group([(1,4)(2,3)(5,13)(6,14)(7,8)(9,15)(10,12)(11,16),(1,2,4,3)(5,10,13,12)(6,8,14,7)(9,16,15,11),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); # Design 41 / Resolution 2: autom. group order 8 R[41][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,14,20,33],[6,12,22,31],[7,16,21,28],[8,15,19,29],[9,11,24,30],[10,13,23,27]]; RG[41][2]:=Group([(1,4)(2,3)(5,13)(6,14)(7,8)(9,15)(10,12)(11,16),(1,2)(3,4)(5,10)(6,8)(7,14)(11,16)(12,13),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); # Design 42: 1 resolution(s), autom. group order 16, decomposable D[42]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,10],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[2,11,13,15],[3,5,11,14],[3,5,14,16],[3,6,7,12],[3,6,9,13],[3,7,10,15],[3,8,10,15],[3,8,12,16],[3,9,11,13],[4,5,10,13],[4,5,13,16],[4,6,8,15],[4,6,9,14],[4,7,11,12],[4,7,15,16],[4,8,11,12],[4,9,10,14],[5,9,12,15],[5,9,12,15],[6,10,11,16],[6,10,11,16],[7,8,13,14],[7,8,13,14]]; G[42]:=Group([(3,4)(7,8)(10,11)(12,15)(13,14),(1,2)(5,9)(6,16)(7,8)(13,14),(1,3)(2,4)(5,15)(6,10)(9,12)(11,16),(1,5)(2,9)(3,12)(4,15)(10,11)(13,14)]); R[42]:=[]; RG[42]:=[]; # Design 42 / Resolution 1: autom. group order 16, decomposable R[42][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,13,23,28],[7,15,19,29],[8,16,21,27],[9,11,24,30],[10,12,22,31]]; RG[42][1]:=Group([(1,2)(3,4)(5,9)(6,16)(10,11)(12,15),(1,3)(2,4)(5,15)(6,10)(9,12)(11,16),(1,12)(2,15)(3,9)(4,5)(6,11)(7,8)(10,16),(1,12,2,15)(3,5,4,9)(6,11,16,10)(13,14)]); # Design 43: 1 resolution(s), autom. group order 16 D[43]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,11],[2,5,8,10],[2,6,12,13],[2,6,14,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[2,11,13,15],[3,5,10,13],[3,5,14,16],[3,6,7,15],[3,6,9,13],[3,7,11,12],[3,8,11,12],[3,8,15,16],[3,9,10,14],[4,5,11,14],[4,5,13,16],[4,6,8,12],[4,6,9,14],[4,7,10,15],[4,7,12,16],[4,8,10,15],[4,9,11,13],[5,9,12,15],[5,9,12,15],[6,10,11,16],[6,10,11,16],[7,8,13,14],[7,8,13,14]]; G[43]:=Group([(3,4)(7,8)(10,11)(12,15)(13,14),(1,2)(5,9)(6,16)(7,8)(13,14),(1,3)(2,4)(5,12)(6,11)(7,8)(9,15)(10,16)(13,14),(1,5)(2,9)(3,12)(4,15)(7,8)]); R[43]:=[]; RG[43]:=[]; # Design 43 / Resolution 1: autom. group order 16 R[43][1]:=[[1,35,37,39],[2,36,38,40],[3,17,25,34],[4,18,26,32],[5,14,24,28],[6,13,20,31],[7,16,21,27],[8,15,19,29],[9,11,22,33],[10,12,23,30]]; RG[43][1]:=Group([(1,2)(3,4)(5,9)(6,16)(10,11)(12,15),(1,3,2,4)(5,12,9,15)(6,11,16,10),(1,5)(2,9)(3,15)(4,12)(10,11)(13,14),(1,5)(2,9)(3,12)(4,15)(7,8)]); # Design 44: 1 resolution(s), autom. group order 16, decomposable D[44]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,10,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,15],[2,5,9,11],[2,6,8,16],[2,6,12,16],[2,7,13,15],[2,8,9,11],[2,10,12,14],[2,10,13,14],[3,5,11,13],[3,5,12,15],[3,6,7,14],[3,6,9,14],[3,7,8,10],[3,8,10,16],[3,9,12,15],[3,11,13,16],[4,5,10,12],[4,5,10,16],[4,6,9,13],[4,6,12,13],[4,7,11,14],[4,7,11,16],[4,8,9,15],[4,8,14,15],[5,8,13,14],[5,9,14,16],[6,10,11,15],[6,10,11,15],[7,8,12,13],[7,9,12,16]]; G[44]:=Group([(3,4)(5,12)(6,11)(7,14)(9,16)(10,15),(1,2)(5,7)(6,15)(8,13)(10,11)(12,14),(1,3)(2,4)(5,14)(8,9)(11,15)(13,16),(1,6,2,10)(3,11,4,15)(5,16,14,9)(7,8,12,13)]); R[44]:=[]; RG[44]:=[]; # Design 44 / Resolution 1: autom. group order 16, decomposable R[44][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,32],[5,14,19,34],[6,15,22,28],[7,13,20,31],[8,11,24,29],[9,16,21,27],[10,12,23,30]]; RG[44][1]:=Group([(3,4)(5,12)(6,11)(7,14)(9,16)(10,15),(1,2)(5,7)(6,15)(8,13)(10,11)(12,14),(1,3)(2,4)(5,14)(8,9)(11,15)(13,16),(1,6,4,11,2,10,3,15)(5,13,7,9,14,8,12,16)]); # Design 45: 1 resolution(s), autom. group order 16 D[45]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,10],[1,11,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,11],[2,5,8,11],[2,6,12,13],[2,6,14,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[2,10,13,15],[3,5,12,16],[3,5,15,16],[3,6,7,13],[3,6,8,14],[3,7,10,14],[3,8,10,13],[3,9,11,12],[3,9,11,15],[4,5,10,12],[4,5,10,15],[4,6,9,12],[4,6,9,15],[4,7,11,13],[4,7,14,16],[4,8,11,14],[4,8,13,16],[5,9,13,14],[5,9,13,14],[6,10,11,16],[6,10,11,16],[7,8,12,15],[7,8,12,15]]; G[45]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(13,14),(1,2)(3,4)(6,11)(10,16),(1,3)(2,4)(6,16)(7,12)(8,15)(10,11)(13,14)]); R[45]:=[]; RG[45]:=[]; # Design 45 / Resolution 1: autom. group order 16 R[45][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[45][1]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(13,14),(1,3)(2,4)(5,9)(6,11)(7,15)(8,12)(10,16)(13,14),(1,4)(2,3)(5,9)(7,15)(8,12)(13,14)]); # Design 46: 1 resolution(s), autom. group order 16 D[46]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,10,14],[1,9,12,15],[1,11,13,16],[1,14,15,16],[2,5,6,8],[2,5,7,9],[2,6,10,15],[2,7,10,14],[2,8,12,13],[2,9,11,12],[2,11,14,16],[2,13,15,16],[3,5,11,13],[3,5,14,15],[3,6,7,16],[3,6,11,12],[3,7,10,13],[3,8,9,16],[3,8,12,14],[3,9,10,15],[4,5,11,14],[4,5,13,15],[4,6,8,16],[4,6,12,15],[4,7,9,16],[4,7,12,14],[4,8,10,13],[4,9,10,11],[5,10,12,16],[5,10,12,16],[6,9,13,14],[6,9,13,14],[7,8,11,15],[7,8,11,15]]; G[46]:=Group([(6,9)(7,8)(10,12)(11,15)(13,14),(5,16)(6,13)(7,11)(8,15)(9,14)(10,12),(1,2)(3,4)(7,8)(11,15),(1,3)(2,4)(6,13)(7,11)(8,15)(9,14)]); R[46]:=[]; RG[46]:=[]; # Design 46 / Resolution 1: autom. group order 16 R[46][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,23,30],[5,15,20,31],[6,13,24,27],[7,16,21,28],[8,14,19,29],[9,11,26,32],[10,12,22,33]]; RG[46][1]:=Group([(6,9)(7,8)(10,12)(11,15)(13,14),(5,16)(6,13)(7,11)(8,15)(9,14)(10,12),(1,4)(2,3)(5,16)(7,8)(10,12)(11,15),(1,2)(3,4)(7,8)(11,15)]); # Design 47: 1 resolution(s), autom. group order 16 D[47]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,13],[2,5,8,13],[2,6,9,14],[2,6,11,15],[2,7,9,12],[2,8,10,11],[2,10,14,16],[2,12,15,16],[3,5,10,15],[3,5,12,14],[3,6,7,16],[3,6,8,16],[3,7,10,11],[3,8,9,12],[3,9,13,15],[3,11,13,14],[4,5,10,14],[4,5,12,15],[4,6,9,15],[4,6,11,14],[4,7,11,12],[4,7,13,16],[4,8,9,10],[4,8,13,16],[5,9,11,16],[5,9,11,16],[6,10,12,13],[6,10,12,13],[7,8,14,15],[7,8,14,15]]; G[47]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,2)(3,4)(6,13)(10,12)]); R[47]:=[]; RG[47]:=[]; # Design 47 / Resolution 1: autom. group order 16 R[47][1]:=[[1,35,37,39],[2,36,38,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,13,19,32],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[47][1]:=Group([(1,4)(2,3)(5,16)(6,13)(9,11)(10,12),(1,2)(3,4)(6,13)(10,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(2,3)(5,6)(7,8)(9,12)(10,11)(13,16)]); # Design 48: 1 resolution(s), autom. group order 16 D[48]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,8,10],[1,7,9,10],[1,11,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,6,11],[2,5,7,12],[2,6,10,16],[2,7,14,15],[2,8,10,12],[2,8,13,15],[2,9,11,14],[2,9,13,16],[3,5,11,12],[3,5,15,16],[3,6,7,13],[3,6,8,14],[3,7,9,14],[3,8,9,13],[3,10,11,15],[3,10,12,16],[4,5,8,15],[4,5,9,16],[4,6,11,13],[4,6,14,16],[4,7,10,15],[4,7,12,13],[4,8,12,14],[4,9,10,11],[5,10,13,14],[5,10,13,14],[6,9,12,15],[6,9,12,15],[7,8,11,16],[7,8,11,16]]; G[48]:=Group([(5,10)(7,8)(11,16)(13,14),(5,13)(6,15)(7,16)(8,11)(9,12)(10,14),(2,4)(6,9)(7,8)(11,16)(12,15),(1,3)(6,12)(7,11)(8,16)(9,15)]); R[48]:=[]; RG[48]:=[]; # Design 48 / Resolution 1: autom. group order 16 R[48][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,33],[4,14,26,29],[5,17,20,32],[6,16,19,30],[7,13,23,27],[8,15,21,28],[9,11,24,31],[10,12,22,34]]; RG[48][1]:=Group([(1,3)(5,14)(6,9)(10,13)(12,15),(1,3)(2,4)(5,13)(10,14),(2,4)(6,9)(7,8)(11,16)(12,15),(1,3)(2,4)(6,15)(7,16)(8,11)(9,12)]); # Design 49: 1 resolution(s), autom. group order 16 D[49]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,10,14],[1,9,15,16],[1,11,12,15],[1,13,14,16],[2,5,6,8],[2,5,7,14],[2,6,10,16],[2,7,9,10],[2,8,12,13],[2,9,11,13],[2,11,14,15],[2,12,15,16],[3,5,11,12],[3,5,14,16],[3,6,7,15],[3,6,11,13],[3,7,10,12],[3,8,9,13],[3,8,14,15],[3,9,10,16],[4,5,9,11],[4,5,12,16],[4,6,8,15],[4,6,13,16],[4,7,9,15],[4,7,13,14],[4,8,10,12],[4,10,11,14],[5,10,13,15],[5,10,13,15],[6,9,12,14],[6,9,12,14],[7,8,11,16],[7,8,11,16]]; G[49]:=Group([(5,15)(6,12)(7,11)(8,16)(10,13),(1,2)(3,4)(7,8)(9,14)(11,16),(1,3)(2,4)(6,12)(7,11)(8,16)(9,14),(1,7,2,16)(3,11,4,8)(5,10,15,13)(6,9,12,14)]); R[49]:=[]; RG[49]:=[]; # Design 49 / Resolution 1: autom. group order 16 R[49][1]:=[[1,35,37,39],[2,36,38,40],[3,18,24,34],[4,17,23,30],[5,15,20,31],[6,13,25,27],[7,16,21,28],[8,12,22,33],[9,11,26,32],[10,14,19,29]]; RG[49][1]:=Group([(5,15)(6,12)(7,11)(8,16)(10,13),(1,2)(3,4)(5,15)(6,12)(7,16)(8,11)(9,14)(10,13),(1,4)(2,3)(6,12)(7,16)(8,11),(1,8,2,11)(3,16,4,7)(5,13,15,10)(6,9,12,14)]); # Design 50: 1 resolution(s), autom. group order 16 D[50]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,12,13],[1,8,12,14],[1,9,10,15],[1,11,13,16],[1,14,15,16],[2,5,6,8],[2,5,7,14],[2,6,15,16],[2,7,9,12],[2,8,12,13],[2,9,10,11],[2,10,13,15],[2,11,14,16],[3,5,11,13],[3,5,14,15],[3,6,7,16],[3,6,11,12],[3,7,10,13],[3,8,9,16],[3,8,10,14],[3,9,12,15],[4,5,9,11],[4,5,13,15],[4,6,8,10],[4,6,12,15],[4,7,9,16],[4,7,10,14],[4,8,13,16],[4,11,12,14],[5,10,12,16],[5,10,12,16],[6,9,13,14],[6,9,13,14],[7,8,11,15],[7,8,11,15]]; G[50]:=Group([(5,10)(6,9)(7,15)(8,11)(12,16)(13,14),(5,12)(6,13)(9,14)(10,16),(1,2)(3,4)(7,8)(9,14)(10,16)(11,15),(1,3)(2,4)(6,13)(7,11)(8,15)(9,14)]); R[50]:=[]; RG[50]:=[]; # Design 50 / Resolution 1: autom. group order 16 R[50][1]:=[[1,35,37,39],[2,36,38,40],[3,17,24,34],[4,18,23,30],[5,15,20,31],[6,13,25,27],[7,16,21,28],[8,12,22,33],[9,11,26,32],[10,14,19,29]]; RG[50][1]:=Group([(5,12)(6,13)(9,14)(10,16),(5,16)(6,14)(7,15)(8,11)(9,13)(10,12),(1,2)(3,4)(5,16,12,10)(6,14,13,9)(7,11)(8,15),(1,4)(2,3)(5,16,12,10)(6,9,13,14)]); # Design 51: 1 resolution(s), autom. group order 16 D[51]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,10,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,11],[2,5,9,13],[2,6,8,10],[2,6,12,14],[2,7,10,15],[2,8,11,16],[2,9,14,16],[2,12,13,15],[3,5,8,15],[3,5,14,15],[3,6,7,16],[3,6,13,16],[3,7,9,12],[3,8,9,12],[3,10,11,13],[3,10,11,14],[4,5,9,14],[4,5,11,13],[4,6,10,14],[4,6,12,13],[4,7,11,16],[4,7,12,15],[4,8,9,16],[4,8,10,15],[5,10,12,16],[5,10,12,16],[6,9,11,15],[6,9,11,15],[7,8,13,14],[7,8,13,14]]; G[51]:=Group([(5,6)(7,8)(9,12)(10,11)(13,14)(15,16),(5,9,16,11)(6,10,15,12)(7,13,14,8),(1,3)(2,4)(6,15)(7,14)(9,11)]); R[51]:=[]; RG[51]:=[]; # Design 51 / Resolution 1: autom. group order 16 R[51][1]:=[[1,35,37,39],[2,36,38,40],[3,18,26,33],[4,17,25,32],[5,16,20,30],[6,15,22,27],[7,14,19,31],[8,12,21,34],[9,11,24,29],[10,13,23,28]]; RG[51][1]:=Group([(1,3)(2,4)(6,15)(7,14)(9,11),(1,3)(2,4)(5,10)(6,11)(7,14)(8,13)(9,15)(12,16),(1,3)(2,4)(5,16)(8,13)(10,12),(5,6)(7,8)(9,12)(10,11)(13,14)(15,16)]); # Design 52: 1 resolution(s), autom. group order 16 D[52]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,10],[1,11,12,13],[1,11,12,13],[1,14,15,16],[1,14,15,16],[2,5,8,11],[2,5,8,14],[2,6,12,15],[2,6,12,15],[2,7,9,13],[2,7,10,16],[2,9,11,16],[2,10,13,14],[3,5,13,16],[3,5,13,16],[3,6,8,11],[3,6,8,14],[3,7,9,12],[3,7,10,15],[3,9,11,15],[3,10,12,14],[4,5,9,15],[4,5,10,12],[4,6,9,16],[4,6,10,13],[4,7,11,14],[4,7,11,14],[4,8,12,16],[4,8,13,15],[5,9,12,14],[5,10,11,15],[6,9,13,14],[6,10,11,16],[7,8,12,16],[7,8,13,15]]; G[52]:=Group([(9,10)(11,14)(12,15)(13,16),(2,3)(5,6)(12,13)(15,16),(2,5)(3,6)(4,7)(11,14)(12,16)(13,15),(2,12,6,15)(3,13,5,16)(4,11,7,14)]); R[52]:=[]; RG[52]:=[]; # Design 52 / Resolution 1: autom. group order 16 R[52][1]:=[[1,35,38,40],[2,36,37,39],[3,17,26,34],[4,18,25,33],[5,13,19,31],[6,14,20,32],[7,12,24,29],[8,16,22,27],[9,11,23,30],[10,15,21,28]]; RG[52][1]:=Group([(2,3)(5,6)(12,13)(15,16),(9,10)(11,14)(12,15)(13,16),(2,6)(3,5)(4,7)(9,10),(2,15)(3,16)(4,14)(5,13)(6,12)(7,11)(9,10)]); # Design 53: 1 resolution(s), autom. group order 16 D[53]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,8,9],[2,5,15,16],[2,6,8,14],[2,6,10,13],[2,7,9,13],[2,7,11,15],[2,10,12,16],[2,11,12,14],[3,5,8,12],[3,5,14,15],[3,6,8,16],[3,6,11,13],[3,7,10,15],[3,7,12,13],[3,9,10,16],[3,9,11,14],[4,5,9,11],[4,5,10,12],[4,6,10,11],[4,6,14,16],[4,7,9,16],[4,7,12,14],[4,8,13,15],[4,8,13,15],[5,10,13,14],[5,11,13,16],[6,9,12,15],[6,9,12,15],[7,8,10,14],[7,8,11,16]]; G[53]:=Group([(5,7)(8,13)(10,14)(11,16),(2,3)(9,12)(10,11)(14,16),(1,4)(5,8)(6,15)(7,13)(10,11)(14,16),(1,6)(2,9)(3,12)(4,15)(10,14)(11,16)]); R[53]:=[]; RG[53]:=[]; # Design 53 / Resolution 1: autom. group order 8 R[53][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,12,22,32],[6,14,20,31],[7,16,21,28],[8,15,19,30],[9,13,23,27],[10,11,24,29]]; RG[53][1]:=Group([(5,7)(8,13)(10,14)(11,16),(1,4)(2,3)(5,13)(6,15)(7,8)(9,12)(10,14)(11,16),(1,6)(2,9)(3,12)(4,15)(10,14)(11,16)]); # Design 54: 2 resolution(s), autom. group order 16 D[54]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,8,9],[2,5,15,16],[2,6,8,10],[2,6,13,14],[2,7,9,14],[2,7,11,15],[2,10,12,13],[2,11,12,16],[3,5,8,12],[3,5,13,15],[3,6,8,11],[3,6,14,16],[3,7,10,15],[3,7,12,14],[3,9,10,13],[3,9,11,16],[4,5,9,16],[4,5,12,13],[4,6,10,16],[4,6,11,13],[4,7,9,11],[4,7,10,12],[4,8,14,15],[4,8,14,15],[5,10,11,14],[5,10,11,14],[6,9,12,15],[6,9,12,15],[7,8,13,16],[7,8,13,16]]; G[54]:=Group([(5,7)(8,14)(10,13)(11,16),(2,3)(9,12)(10,11)(13,16),(1,4)(5,8)(6,15)(7,14)(10,16)(11,13),(1,6)(2,9)(3,12)(4,15)]); R[54]:=[]; RG[54]:=[]; # Design 54 / Resolution 1: autom. group order 8 R[54][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,34],[5,16,22,28],[6,14,23,27],[7,12,21,32],[8,15,19,30],[9,11,24,29],[10,13,20,31]]; RG[54][1]:=Group([(5,7)(8,14)(10,13)(11,16),(2,3)(9,12)(10,11)(13,16),(1,15)(2,12)(3,9)(4,6)(5,14)(7,8)]); # Design 54 / Resolution 2: autom. group order 8 R[54][2]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,34],[5,12,24,30],[6,14,23,27],[7,16,19,29],[8,15,21,28],[9,11,22,32],[10,13,20,31]]; RG[54][2]:=Group([(5,7)(8,14)(10,13)(11,16),(1,4)(2,3)(5,14)(6,15)(7,8)(9,12),(1,6)(2,12)(3,9)(4,15)(10,11)(13,16)]); # Design 55: 1 resolution(s), autom. group order 16, decomposable D[55]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,10,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,11],[2,5,8,9],[2,6,10,14],[2,6,12,13],[2,7,12,15],[2,8,10,15],[2,9,14,16],[2,11,13,16],[3,5,13,15],[3,5,14,15],[3,6,7,16],[3,6,8,16],[3,7,10,11],[3,8,9,12],[3,9,12,14],[3,10,11,13],[4,5,9,13],[4,5,11,14],[4,6,10,14],[4,6,12,13],[4,7,9,16],[4,7,12,15],[4,8,10,15],[4,8,11,16],[5,10,12,16],[5,10,12,16],[6,9,11,15],[6,9,11,15],[7,8,13,14],[7,8,13,14]]; G[55]:=Group([(7,8)(9,11)(10,12)(13,14),(5,16)(6,15)(7,13)(8,14),(2,4)(5,9)(6,10)(8,13)(11,16)(12,15),(1,3)(5,9,16,11)(6,12,15,10)(7,8,14,13)]); R[55]:=[]; RG[55]:=[]; # Design 55 / Resolution 1: autom. group order 16, decomposable R[55][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,33],[4,17,26,32],[5,14,20,34],[6,13,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,29],[10,12,23,30]]; RG[55][1]:=Group([(1,3)(2,4)(5,16)(9,11),(1,3)(5,11)(6,10)(8,13)(9,16)(12,15),(1,3)(5,9)(6,12)(7,14)(10,15)(11,16),(5,16)(6,15)(7,13)(8,14)]); # Design 56: 1 resolution(s), autom. group order 16 D[56]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,13],[2,5,8,13],[2,6,9,15],[2,6,11,14],[2,7,9,12],[2,8,10,11],[2,10,15,16],[2,12,14,16],[3,5,10,14],[3,5,12,15],[3,6,7,16],[3,6,8,16],[3,7,10,11],[3,8,9,12],[3,9,13,14],[3,11,13,15],[4,5,10,14],[4,5,12,15],[4,6,9,15],[4,6,11,14],[4,7,11,12],[4,7,13,16],[4,8,9,10],[4,8,13,16],[5,9,11,16],[5,9,11,16],[6,10,12,13],[6,10,12,13],[7,8,14,15],[7,8,14,15]]; G[56]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,2)(3,4)(6,13)(10,12)(14,15)]); R[56]:=[]; RG[56]:=[]; # Design 56 / Resolution 1: autom. group order 16 R[56][1]:=[[1,35,37,39],[2,36,38,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,13,19,32],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[56][1]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(7,8)(9,12)(10,11)(13,16),(1,4)(5,13)(6,16)(7,8)(9,10)(11,12),(1,2)(3,4)(6,13)(7,8)(9,11)]); # Design 57: 1 resolution(s), autom. group order 16 D[57]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,10],[1,11,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,8,11],[2,5,8,11],[2,6,12,15],[2,6,12,15],[2,7,9,13],[2,7,10,14],[2,9,14,16],[2,10,13,16],[3,5,13,14],[3,5,13,14],[3,6,8,16],[3,6,8,16],[3,7,9,12],[3,7,10,15],[3,9,11,12],[3,10,11,15],[4,5,9,15],[4,5,10,12],[4,6,9,13],[4,6,10,14],[4,7,11,16],[4,7,11,16],[4,8,12,13],[4,8,14,15],[5,9,15,16],[5,10,12,16],[6,9,11,14],[6,10,11,13],[7,8,12,14],[7,8,13,15]]; G[57]:=Group([(9,10)(12,15)(13,14),(2,6)(3,5)(4,7)(11,16)(12,15),(1,2)(6,8)(7,11)(9,12)(10,15)]); R[57]:=[]; RG[57]:=[]; # Design 57 / Resolution 1: autom. group order 16 R[57][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,13,19,31],[6,14,20,32],[7,16,21,27],[8,15,22,28],[9,11,24,29],[10,12,23,30]]; RG[57][1]:=Group([(9,10)(12,15)(13,14),(1,2)(6,8)(7,11)(9,12)(10,15),(1,6)(2,8)(4,16)(9,15)(10,12),(1,8)(3,5)(4,11)(7,16)(9,10)]); # Design 58: 1 resolution(s), autom. group order 16 D[58]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,10],[1,11,12,13],[1,11,12,13],[1,14,15,16],[1,14,15,16],[2,5,8,11],[2,5,8,14],[2,6,12,15],[2,6,13,16],[2,7,9,15],[2,7,10,12],[2,9,11,16],[2,10,13,14],[3,5,12,15],[3,5,13,16],[3,6,8,11],[3,6,8,14],[3,7,9,16],[3,7,10,13],[3,9,11,15],[3,10,12,14],[4,5,9,13],[4,5,10,16],[4,6,9,12],[4,6,10,15],[4,7,11,14],[4,7,11,14],[4,8,12,16],[4,8,13,15],[5,9,12,14],[5,10,11,15],[6,9,13,14],[6,10,11,16],[7,8,12,16],[7,8,13,15]]; G[58]:=Group([(9,10)(11,14)(12,15)(13,16),(2,3)(5,6)(12,13)(15,16),(2,5)(3,6)(4,7)(11,14)(12,16)(13,15),(2,12,3,13)(4,11)(5,16,6,15)(7,14)]); R[58]:=[]; RG[58]:=[]; # Design 58 / Resolution 1: autom. group order 16 R[58][1]:=[[1,35,38,40],[2,36,37,39],[3,17,26,34],[4,18,25,33],[5,13,20,31],[6,14,19,32],[7,12,23,30],[8,15,22,28],[9,11,24,29],[10,16,21,27]]; RG[58][1]:=Group([(2,3)(5,6)(12,13)(15,16),(9,10)(11,14)(12,15)(13,16),(2,16,3,15)(4,14)(5,12,6,13)(7,11)]); # Design 59: 1 resolution(s), autom. group order 16 D[59]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,10],[1,11,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,11],[2,5,8,11],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,12,13],[2,10,14,15],[3,5,12,16],[3,5,15,16],[3,6,7,13],[3,6,8,14],[3,7,10,14],[3,8,10,13],[3,9,11,12],[3,9,11,15],[4,5,10,12],[4,5,10,15],[4,6,9,12],[4,6,9,15],[4,7,11,14],[4,7,13,16],[4,8,11,13],[4,8,14,16],[5,9,13,14],[5,9,13,14],[6,10,11,16],[6,10,11,16],[7,8,12,15],[7,8,12,15]]; G[59]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(13,14),(1,2)(3,4)(6,11)(10,16)(13,14),(1,3)(2,4)(6,16)(7,12)(8,15)(10,11)(13,14)]); R[59]:=[]; RG[59]:=[]; # Design 59 / Resolution 1: autom. group order 16 R[59][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[59][1]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(13,14),(1,3)(2,4)(5,9)(6,11)(7,15)(8,12)(10,16)(13,14),(1,4)(2,3)(5,9)(7,15)(8,12)]); # Design 60: 1 resolution(s), autom. group order 16 D[60]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,14],[1,12,15,16],[2,5,7,13],[2,5,8,13],[2,6,9,15],[2,6,11,15],[2,7,9,12],[2,8,10,11],[2,10,14,16],[2,12,14,16],[3,5,10,14],[3,5,12,14],[3,6,7,16],[3,6,8,16],[3,7,10,11],[3,8,9,12],[3,9,13,15],[3,11,13,15],[4,5,10,15],[4,5,12,15],[4,6,9,14],[4,6,11,14],[4,7,11,12],[4,7,13,16],[4,8,9,10],[4,8,13,16],[5,9,11,16],[5,9,11,16],[6,10,12,13],[6,10,12,13],[7,8,14,15],[7,8,14,15]]; G[60]:=Group([(7,8)(9,11)(10,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,2)(3,4)(6,13)(10,12)(14,15)]); R[60]:=[]; RG[60]:=[]; # Design 60 / Resolution 1: autom. group order 16 R[60][1]:=[[1,35,37,39],[2,36,38,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,13,19,32],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[60][1]:=Group([(7,8)(9,11)(10,12),(2,3)(5,6)(7,8)(9,12)(10,11)(13,16)(14,15),(1,4)(5,13)(6,16)(9,12)(10,11)(14,15),(1,2)(3,4)(6,13)(10,12)(14,15)]); # Design 61: 1 resolution(s), autom. group order 16 D[61]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,13],[2,5,8,13],[2,6,9,14],[2,6,11,15],[2,7,10,11],[2,8,9,12],[2,10,14,16],[2,12,15,16],[3,5,10,15],[3,5,12,14],[3,6,7,16],[3,6,8,16],[3,7,9,12],[3,8,10,11],[3,9,13,15],[3,11,13,14],[4,5,10,14],[4,5,12,15],[4,6,9,15],[4,6,11,14],[4,7,11,12],[4,7,13,16],[4,8,9,10],[4,8,13,16],[5,9,11,16],[5,9,11,16],[6,10,12,13],[6,10,12,13],[7,8,14,15],[7,8,14,15]]; G[61]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,2)(3,4)(6,13)(9,11)(14,15)]); R[61]:=[]; RG[61]:=[]; # Design 61 / Resolution 1: autom. group order 16 R[61][1]:=[[1,35,37,39],[2,36,38,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,13,19,32],[7,15,22,28],[8,12,23,30],[9,16,21,27],[10,11,24,29]]; RG[61][1]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,4)(5,13)(6,16)(9,12)(10,11)(14,15),(1,2)(3,4)(6,13)(9,11)(14,15)]); # Design 62: 1 resolution(s), autom. group order 16 D[62]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,10],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[2,11,13,15],[3,5,10,13],[3,5,13,16],[3,6,7,15],[3,6,9,14],[3,7,11,12],[3,8,11,12],[3,8,15,16],[3,9,10,14],[4,5,11,14],[4,5,14,16],[4,6,8,12],[4,6,9,13],[4,7,10,15],[4,7,12,16],[4,8,10,15],[4,9,11,13],[5,9,12,15],[5,9,12,15],[6,10,11,16],[6,10,11,16],[7,8,13,14],[7,8,13,14]]; G[62]:=Group([(3,4)(7,8)(10,11)(12,15)(13,14),(1,2)(5,9)(6,16)(7,8)(13,14),(1,3)(2,4)(5,12)(6,11)(7,8)(9,15)(10,16),(1,5)(2,9)(3,12)(4,15)(7,8)]); R[62]:=[]; RG[62]:=[]; # Design 62 / Resolution 1: autom. group order 16 R[62][1]:=[[1,35,37,39],[2,36,38,40],[3,17,25,34],[4,18,26,32],[5,14,24,28],[6,13,20,31],[7,16,21,27],[8,15,19,29],[9,11,22,33],[10,12,23,30]]; RG[62][1]:=Group([(1,5)(2,9)(3,12)(4,15)(7,8),(1,2)(5,9)(6,16)(7,8)(13,14),(3,4)(7,8)(10,11)(12,15)(13,14),(1,3)(2,4)(5,12)(6,11)(7,8)(9,15)(10,16)]); # Design 63: 1 resolution(s), autom. group order 16, simple, decomposable D[63]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,4,11,16],[2,5,7,12],[2,6,10,11],[2,6,13,14],[2,7,8,12],[2,8,15,16],[2,9,10,15],[2,9,13,14],[3,4,12,15],[3,5,11,13],[3,6,9,16],[3,6,10,11],[3,7,8,14],[3,7,9,14],[3,8,13,16],[3,10,12,15],[4,5,9,13],[4,5,9,15],[4,6,12,14],[4,7,11,16],[4,8,10,13],[4,8,10,14],[5,6,8,15],[5,7,10,16],[5,10,14,16],[5,11,12,14],[6,7,13,15],[6,9,12,16],[7,11,13,15],[8,9,11,12]]; G[63]:=Group([(1,2,13,12,7,15,3,14)(4,9,16,5,6,10,8,11),(1,4,7,6)(2,11,15,5)(3,16,13,8)(9,12,10,14)]); R[63]:=[]; RG[63]:=[]; # Design 63 / Resolution 1: autom. group order 16, decomposable R[63][1]:=[[1,35,37,40],[2,32,38,39],[3,17,25,36],[4,18,26,30],[5,16,20,29],[6,14,19,34],[7,11,24,33],[8,12,21,31],[9,13,23,28],[10,15,22,27]]; RG[63][1]:=Group([(1,3,7,13)(2,14,15,12)(4,8,6,16)(5,9,11,10),(1,2,13,12,7,15,3,14)(4,9,16,5,6,10,8,11),(1,5,7,11)(2,16,15,8)(3,10,13,9)(4,14,6,12)]); # Design 64: 1 resolution(s), autom. group order 16, decomposable D[64]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,13],[2,5,9,15],[2,6,8,13],[2,6,11,14],[2,7,11,16],[2,8,9,16],[2,10,12,14],[2,10,12,15],[3,5,11,14],[3,5,15,16],[3,6,7,12],[3,6,12,15],[3,7,10,13],[3,8,9,16],[3,8,10,11],[3,9,13,14],[4,5,8,10],[4,5,10,14],[4,6,9,15],[4,6,14,16],[4,7,9,12],[4,7,11,16],[4,8,12,13],[4,11,13,15],[5,9,11,12],[5,12,13,16],[6,9,10,11],[6,10,13,16],[7,8,14,15],[7,8,14,15]]; G[64]:=Group([(3,4)(5,6)(7,8)(9,11)(10,12)(14,15),(1,2)(5,10)(6,12)(7,15)(8,14)(13,16),(1,3)(2,4)(5,12)(8,15)(9,13)(11,16),(1,7,2,14)(3,8,4,15)(5,11,12,9)(6,16,10,13)]); R[64]:=[]; RG[64]:=[]; # Design 64 / Resolution 1: autom. group order 16, decomposable R[64][1]:=[[1,35,38,39],[2,36,37,40],[3,17,24,34],[4,18,26,32],[5,14,20,33],[6,12,23,30],[7,15,22,27],[8,13,19,31],[9,16,21,28],[10,11,25,29]]; RG[64][1]:=Group([(3,4)(5,6)(7,8)(9,11)(10,12)(14,15),(1,2)(5,10)(6,12)(7,15)(8,14)(13,16),(1,3)(2,4)(5,12)(8,15)(9,13)(11,16),(1,14,4,15,2,7,3,8)(5,13,10,11,12,16,6,9)]); # Design 65: 16 resolution(s), autom. group order 16, simple, decomposable D[65]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,8,9],[2,5,11,16],[2,6,8,12],[2,6,13,15],[2,7,9,13],[2,7,12,16],[2,10,11,14],[2,10,14,15],[3,4,14,16],[3,5,8,15],[3,6,8,10],[3,6,13,14],[3,7,10,16],[3,7,11,13],[3,9,11,12],[3,9,12,15],[4,5,9,14],[4,5,11,15],[4,6,10,11],[4,7,12,15],[4,8,13,16],[4,10,12,13],[5,6,12,14],[5,7,9,10],[5,8,13,16],[5,10,12,13],[6,9,11,16],[6,9,15,16],[7,8,11,14],[7,8,14,15]]; G[65]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,6)(3,7)(4,5)(8,12)(9,14)(10,16),(1,9,13,14)(2,3,12,10)(4,11,5,15)(6,16,8,7)]); R[65]:=[]; RG[65]:=[]; # Design 65 / Resolution 1: autom. group order 8 R[65][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,16,21,27],[10,15,20,29]]; RG[65][1]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8),(1,9)(2,16)(3,6)(4,15)(5,11)(7,12)(8,10)(13,14)]); # Design 65 / Resolution 2: autom. group order 8 R[65][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,19,34],[7,16,21,28],[8,11,24,33],[9,13,23,27],[10,15,20,29]]; RG[65][2]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8),(1,9)(2,16)(3,6)(4,15)(5,11)(7,12)(8,10)(13,14)]); # Design 65 / Resolution 3: autom. group order 16 R[65][3]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,19,34],[7,16,21,28],[8,11,24,33],[9,13,23,27],[10,15,20,29]]; RG[65][3]:=Group([(1,14)(3,10)(4,15)(5,11)(6,8)(9,13),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,8)(3,16)(6,12)(7,10)(11,15)]); # Design 65 / Resolution 4: autom. group order 16 R[65][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,16,21,27],[10,15,20,29]]; RG[65][4]:=Group([(1,14)(3,10)(4,15)(5,11)(6,8)(9,13),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7)(3,6)(4,5)(8,10)(11,15)(12,16)]); # Design 65 / Resolution 5: autom. group order 16, decomposable R[65][5]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,19,34],[7,16,21,28],[8,11,24,33],[9,13,23,27],[10,15,20,29]]; RG[65][5]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8),(1,14)(3,10)(4,15)(5,11)(6,8)(9,13)]); # Design 65 / Resolution 6: autom. group order 16 R[65][6]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,16,21,27],[10,15,20,29]]; RG[65][6]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8),(1,14)(3,10)(4,15)(5,11)(6,8)(9,13)]); # Design 65 / Resolution 7: autom. group order 4 R[65][7]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,23,27],[7,16,21,28],[8,11,24,33],[9,13,19,34],[10,15,20,29]]; RG[65][7]:=Group([(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15),(1,9)(2,16)(3,6)(4,15)(5,11)(7,12)(8,10)(13,14)]); # Design 65 / Resolution 8: autom. group order 8 R[65][8]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,23,27],[7,16,21,28],[8,11,24,33],[9,13,19,34],[10,15,20,29]]; RG[65][8]:=Group([(1,9,13,14)(2,3,12,10)(4,11,5,15)(6,16,8,7),(1,13)(2,8)(3,16)(6,12)(7,10)(11,15)]); # Design 65 / Resolution 9: autom. group order 8 R[65][9]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,19,34],[7,16,20,29],[8,11,24,33],[9,13,23,27],[10,15,21,28]]; RG[65][9]:=Group([(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(1,9)(2,12)(4,11)(5,15)(7,16)(13,14),(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 65 / Resolution 10: autom. group order 8 R[65][10]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,19,34],[7,16,20,29],[8,11,24,33],[9,13,23,27],[10,15,21,28]]; RG[65][10]:=Group([(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(1,14)(3,10)(4,15)(5,11)(6,8)(9,13),(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 65 / Resolution 11: autom. group order 4 R[65][11]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,19,34],[7,16,20,29],[8,11,24,33],[9,13,23,27],[10,15,21,28]]; RG[65][11]:=Group([(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15),(1,14)(2,7)(3,8)(4,11)(5,15)(6,10)(9,13)(12,16)]); # Design 65 / Resolution 12: autom. group order 8 R[65][12]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,23,27],[7,16,21,28],[8,11,24,33],[9,13,19,34],[10,15,20,29]]; RG[65][12]:=Group([(2,6)(3,7)(4,5)(8,12)(9,14)(10,16),(1,9,13,14)(2,3,12,10)(4,11,5,15)(6,16,8,7)]); # Design 65 / Resolution 13: autom. group order 4 R[65][13]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,23,27],[7,16,20,29],[8,11,24,33],[9,13,19,34],[10,15,21,28]]; RG[65][13]:=Group([(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15),(1,9)(2,16)(3,6)(4,15)(5,11)(7,12)(8,10)(13,14)]); # Design 65 / Resolution 14: autom. group order 4 R[65][14]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,14,23,27],[7,16,20,29],[8,11,24,33],[9,13,19,34],[10,15,21,28]]; RG[65][14]:=Group([(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15),(1,14)(2,7)(3,8)(4,11)(5,15)(6,10)(9,13)(12,16)]); # Design 65 / Resolution 15: autom. group order 4 R[65][15]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,23,27],[7,16,20,29],[8,11,24,33],[9,13,19,34],[10,15,21,28]]; RG[65][15]:=Group([(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15),(1,14)(2,7)(3,8)(4,11)(5,15)(6,10)(9,13)(12,16)]); # Design 65 / Resolution 16: autom. group order 4 R[65][16]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,14,23,27],[7,16,20,29],[8,11,24,33],[9,13,19,34],[10,15,21,28]]; RG[65][16]:=Group([(1,13)(2,12)(3,10)(4,5)(6,8)(7,16)(9,14)(11,15),(1,14)(2,7)(3,8)(4,11)(5,15)(6,10)(9,13)(12,16)]); # Design 66: 1 resolution(s), autom. group order 16, decomposable D[66]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,8,10],[2,5,8,12],[2,6,11,13],[2,6,13,16],[2,7,9,14],[2,7,9,14],[2,10,15,16],[2,11,12,15],[3,5,12,14],[3,5,14,16],[3,6,8,15],[3,6,8,15],[3,7,10,13],[3,7,11,13],[3,9,10,16],[3,9,11,12],[4,5,10,11],[4,5,11,16],[4,6,9,12],[4,6,9,16],[4,7,10,15],[4,7,12,15],[4,8,13,14],[4,8,13,14],[5,9,13,15],[5,9,13,15],[6,10,11,14],[6,10,12,14],[7,8,11,16],[7,8,12,16]]; G[66]:=Group([(2,3)(6,7)(8,14)(9,15)(10,16),(1,4)(5,13)(6,8)(7,14)(10,16)(11,12),(1,5)(2,9)(3,15)(4,13)(11,12),(1,6,5,7)(2,3,15,9)(4,8,13,14)(10,11,16,12)]); R[66]:=[]; RG[66]:=[]; # Design 66 / Resolution 1: autom. group order 16, decomposable R[66][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,13,20,32],[6,14,19,31],[7,15,21,28],[8,12,23,30],[9,16,22,27],[10,11,24,29]]; RG[66][1]:=Group([(2,3)(6,7)(8,14)(9,15)(10,16),(1,4)(5,13)(6,8)(7,14)(10,16)(11,12),(1,13)(2,9)(3,15)(4,5)(6,8)(7,14)(10,16),(1,8,5,14)(2,3,15,9)(4,6,13,7)(10,12,16,11)]); # Design 67: 3 resolution(s), autom. group order 16 D[67]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,13],[1,12,15,16],[1,14,15,16],[2,5,7,15],[2,5,12,13],[2,6,8,9],[2,6,10,16],[2,7,12,16],[2,8,9,13],[2,10,11,14],[2,11,14,15],[3,5,8,14],[3,5,13,15],[3,6,7,11],[3,6,14,16],[3,7,11,13],[3,8,10,16],[3,9,10,12],[3,9,12,15],[4,5,10,12],[4,5,10,14],[4,6,9,15],[4,6,11,12],[4,7,9,14],[4,7,13,16],[4,8,11,15],[4,8,13,16],[5,9,11,16],[5,9,11,16],[6,10,13,15],[6,12,13,14],[7,8,10,15],[7,8,12,14]]; G[67]:=Group([(2,3)(5,16)(6,15)(7,14)(8,12)(10,13),(1,2)(3,4)(5,9)(6,8)(7,13)(10,12)(11,16)(14,15),(1,5)(2,9)(3,11)(4,16)(10,15)(12,14)]); R[67]:=[]; RG[67]:=[]; # Design 67 / Resolution 1: autom. group order 16 R[67][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,12,22,33],[6,14,20,31],[7,11,24,30],[8,15,19,29],[9,16,21,28],[10,13,23,27]]; RG[67][1]:=Group([(2,3)(5,16)(6,15)(7,14)(8,12)(10,13),(1,4)(6,10)(7,12)(8,14)(9,11)(13,15),(1,2)(3,4)(5,9)(6,8)(7,13)(10,12)(11,16)(14,15),(1,5)(2,9)(3,11)(4,16)(10,15)(12,14)]); # Design 67 / Resolution 2: autom. group order 8 R[67][2]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,12,22,33],[6,14,20,31],[7,11,24,30],[8,15,19,29],[9,16,21,28],[10,13,23,27]]; RG[67][2]:=Group([(1,4)(2,3)(5,16)(6,13)(7,8)(9,11)(10,15)(12,14),(1,2,4,3)(5,11,16,9)(6,14,13,12)(7,15,8,10),(1,5)(2,9)(3,11)(4,16)(10,15)(12,14)]); # Design 67 / Resolution 3: autom. group order 16 R[67][3]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,12,22,33],[6,14,20,31],[7,11,24,30],[8,15,19,29],[9,13,23,28],[10,16,21,27]]; RG[67][3]:=Group([(2,3)(5,16)(6,15)(7,14)(8,12)(10,13),(1,4)(6,10)(7,12)(8,14)(9,11)(13,15),(1,2)(3,4)(5,9)(6,8)(7,13)(10,12)(11,16)(14,15),(1,5,4,16)(2,11,3,9)(6,10,13,15)(7,12,8,14)]); # Design 68: 9 resolution(s), autom. group order 16, simple D[68]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,8,15],[2,5,9,16],[2,6,8,10],[2,6,13,14],[2,7,10,16],[2,7,11,13],[2,9,12,15],[2,11,12,14],[3,4,11,16],[3,5,8,14],[3,6,8,12],[3,6,13,15],[3,7,9,13],[3,7,12,16],[3,9,10,15],[3,10,11,14],[4,5,9,14],[4,5,11,15],[4,6,9,12],[4,7,10,14],[4,8,13,16],[4,10,12,13],[5,6,10,11],[5,7,12,15],[5,8,13,16],[5,10,12,13],[6,9,11,16],[6,14,15,16],[7,8,9,11],[7,8,14,15]]; G[68]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,6,3,7)(8,12,16,10)(9,11,14,15),(1,13)(2,8)(3,16)(6,10)(7,12)(9,14)]); R[68]:=[]; RG[68]:=[]; # Design 68 / Resolution 1: autom. group order 8 R[68][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,15,21,28],[8,16,20,29],[9,13,24,27],[10,11,23,33]]; RG[68][1]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7,3,6)(8,10,16,12)(9,15,14,11),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 68 / Resolution 2: autom. group order 8 R[68][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,20,29],[9,15,21,27],[10,11,23,33]]; RG[68][2]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,7,3,6)(8,10,16,12)(9,15,14,11),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 68 / Resolution 3: autom. group order 8 R[68][3]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,20,29],[9,15,21,27],[10,11,23,33]]; RG[68][3]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,16)(3,8)(6,12)(7,10)(11,15),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 68 / Resolution 4: autom. group order 8 R[68][4]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,15,21,28],[8,16,20,29],[9,13,24,27],[10,11,23,33]]; RG[68][4]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8),(1,13)(2,16)(3,8)(6,12)(7,10)(11,15)]); # Design 68 / Resolution 5: autom. group order 2 R[68][5]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[68][5]:=Group([(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 68 / Resolution 6: autom. group order 4 R[68][6]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[68][6]:=Group([(1,13)(2,16)(3,8)(6,12)(7,10)(11,15),(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 68 / Resolution 7: autom. group order 4 R[68][7]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,14,19,34],[6,12,22,30],[7,13,24,28],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[68][7]:=Group([(2,7)(3,6)(4,5)(8,12)(9,14)(10,16),(1,13)(2,16)(3,8)(6,12)(7,10)(11,15)]); # Design 68 / Resolution 8: autom. group order 2 R[68][8]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,14,24,28],[6,12,22,30],[7,13,19,34],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[68][8]:=Group([(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 68 / Resolution 9: autom. group order 2 R[68][9]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,14,24,28],[6,12,22,30],[7,13,19,34],[8,16,21,27],[9,15,20,29],[10,11,23,33]]; RG[68][9]:=Group([(1,13)(2,10)(3,12)(4,5)(6,8)(7,16)(9,14)(11,15)]); # Design 69: 1 resolution(s), autom. group order 16 D[69]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,16],[2,5,8,16],[2,6,12,13],[2,6,14,15],[2,7,9,10],[2,8,9,11],[2,10,12,14],[2,11,13,15],[3,5,10,15],[3,5,11,12],[3,6,7,13],[3,6,8,14],[3,7,11,14],[3,8,10,13],[3,9,12,16],[3,9,15,16],[4,5,10,15],[4,5,11,12],[4,6,9,12],[4,6,9,15],[4,7,11,13],[4,7,14,16],[4,8,10,14],[4,8,13,16],[5,9,13,14],[5,9,13,14],[6,10,11,16],[6,10,11,16],[7,8,12,15],[7,8,12,15]]; G[69]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(6,16)(13,14),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)(10,11)(13,14),(1,7)(2,8)(3,12)(4,15)(5,9)(6,10)(11,16)]); R[69]:=[]; RG[69]:=[]; # Design 69 / Resolution 1: autom. group order 16 R[69][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,33],[4,17,26,31],[5,14,20,34],[6,13,19,32],[7,12,23,30],[8,11,24,29],[9,16,21,27],[10,15,22,28]]; RG[69][1]:=Group([(7,8)(10,11)(12,15)(13,14),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)(10,11)(13,14),(1,4)(2,3)(5,9)(7,12)(8,15)(10,11),(1,7)(2,8)(3,12)(4,15)(5,9)(6,10)(11,16)]); # Design 70: 1 resolution(s), autom. group order 16, decomposable D[70]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,10],[1,11,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,11],[2,5,8,15],[2,6,12,13],[2,6,13,16],[2,7,9,16],[2,7,10,12],[2,9,11,14],[2,10,14,15],[3,5,12,14],[3,5,14,16],[3,6,8,11],[3,6,8,15],[3,7,9,16],[3,7,10,12],[3,9,11,13],[3,10,13,15],[4,5,9,13],[4,5,10,13],[4,6,9,14],[4,6,10,14],[4,7,11,15],[4,7,11,15],[4,8,12,16],[4,8,12,16],[5,9,12,15],[5,10,11,16],[6,9,12,15],[6,10,11,16],[7,8,13,14],[7,8,13,14]]; G[70]:=Group([(9,10)(11,15)(12,16),(2,3)(5,6)(13,14),(1,4,7,8)(2,11,14,9)(3,15,13,10)(5,12,6,16)]); R[70]:=[]; RG[70]:=[]; # Design 70 / Resolution 1: autom. group order 16, decomposable R[70][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,13,20,31],[6,14,19,32],[7,12,23,30],[8,15,22,28],[9,11,24,29],[10,16,21,27]]; RG[70][1]:=Group([(9,10)(11,15)(12,16),(2,3)(5,6)(13,14),(1,4,7,8)(2,15,14,10)(3,11,13,9)(5,16,6,12)]); # Design 71: 1 resolution(s), autom. group order 16 D[71]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,10],[1,11,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,11],[2,5,8,15],[2,6,12,13],[2,6,13,16],[2,7,9,11],[2,8,9,15],[2,10,12,14],[2,10,14,16],[3,5,10,13],[3,5,11,14],[3,6,7,16],[3,6,9,14],[3,7,12,15],[3,8,10,12],[3,8,11,16],[3,9,13,15],[4,5,10,13],[4,5,14,15],[4,6,8,12],[4,6,9,14],[4,7,10,16],[4,7,12,15],[4,8,11,16],[4,9,11,13],[5,9,12,16],[5,9,12,16],[6,10,11,15],[6,10,11,15],[7,8,13,14],[7,8,13,14]]; G[71]:=Group([(5,9)(6,10)(7,8)(11,15)(12,16)(13,14),(5,12,9,16)(6,11,10,15)(7,14,8,13),(3,4)(7,8)(11,15)(12,16),(1,2)(5,7)(6,11)(8,9)(10,15)(12,13)(14,16)]); R[71]:=[]; RG[71]:=[]; # Design 71 / Resolution 1: autom. group order 16 R[71][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,23,34],[5,13,25,28],[6,14,20,32],[7,12,22,31],[8,16,21,27],[9,11,24,30],[10,15,19,29]]; RG[71][1]:=Group([(1,2)(3,4)(5,13)(7,12)(8,16)(9,14),(3,4)(7,8)(11,15)(12,16),(3,4)(5,9)(6,10)(13,14),(3,4)(5,16)(6,15)(7,14)(8,13)(9,12)(10,11)]); # Design 72: 1 resolution(s), autom. group order 16, decomposable D[72]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,9,10],[1,11,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,11],[2,5,8,15],[2,6,12,13],[2,6,13,16],[2,7,9,11],[2,8,9,15],[2,10,12,14],[2,10,14,16],[3,5,10,13],[3,5,14,15],[3,6,7,16],[3,6,9,14],[3,7,12,15],[3,8,10,12],[3,8,11,16],[3,9,11,13],[4,5,10,13],[4,5,11,14],[4,6,8,12],[4,6,9,14],[4,7,10,16],[4,7,12,15],[4,8,11,16],[4,9,13,15],[5,9,12,16],[5,9,12,16],[6,10,11,15],[6,10,11,15],[7,8,13,14],[7,8,13,14]]; G[72]:=Group([(5,9)(6,10)(7,8)(11,15)(12,16)(13,14),(5,12)(6,11)(7,13)(8,14)(9,16)(10,15),(3,4)(7,8)(11,15)(12,16),(1,2)(5,7,9,8)(6,11,10,15)(12,14,16,13)]); R[72]:=[]; RG[72]:=[]; # Design 72 / Resolution 1: autom. group order 16, decomposable R[72][1]:=[[1,35,37,39],[2,36,38,40],[3,17,25,34],[4,18,26,32],[5,13,20,33],[6,14,23,28],[7,12,22,31],[8,16,21,27],[9,11,24,30],[10,15,19,29]]; RG[72][1]:=Group([(1,2)(3,4)(5,13)(7,12)(8,16)(9,14),(3,4)(7,8)(11,15)(12,16),(5,12)(6,11)(7,13)(8,14)(9,16)(10,15)]); # Design 73: 1 resolution(s), autom. group order 16, decomposable D[73]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,10],[1,11,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,8,11],[2,5,8,11],[2,6,12,14],[2,6,12,14],[2,7,9,13],[2,7,9,15],[2,10,13,16],[2,10,15,16],[3,5,13,15],[3,5,13,15],[3,6,8,16],[3,6,8,16],[3,7,10,12],[3,7,10,14],[3,9,11,12],[3,9,11,14],[4,5,10,12],[4,5,10,14],[4,6,9,13],[4,6,9,15],[4,7,11,16],[4,7,11,16],[4,8,12,15],[4,8,13,14],[5,9,12,16],[5,9,14,16],[6,10,11,13],[6,10,11,15],[7,8,12,15],[7,8,13,14]]; G[73]:=Group([(12,14)(13,15),(2,3)(5,6)(9,10)(11,16)(12,13)(14,15),(2,5)(3,6)(4,7)(9,10)(12,13)(14,15),(1,8)(3,5)(4,11)(7,16)(9,10)(13,15)]); R[73]:=[]; RG[73]:=[]; # Design 73 / Resolution 1: autom. group order 16, decomposable R[73][1]:=[[1,35,38,40],[2,36,37,39],[3,17,26,33],[4,18,25,34],[5,13,19,31],[6,14,20,32],[7,16,21,28],[8,15,22,27],[9,11,24,30],[10,12,23,29]]; RG[73][1]:=Group([(12,14)(13,15),(2,3)(5,6)(9,10)(11,16)(12,13)(14,15),(1,8)(3,5)(4,11)(7,16)(9,10)(13,15)]);