D:=[]; G:=[]; R:=[]; RG:=[]; # Design 1: 6 resolution(s), autom. group order 8, simple D[1]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,8,9],[2,4,10,14],[2,5,11,15],[2,6,13,16],[2,7,8,11],[2,7,14,16],[2,9,12,13],[2,10,12,15],[3,4,12,16],[3,5,10,13],[3,6,8,12],[3,6,13,15],[3,7,14,15],[3,9,11,14],[3,10,11,16],[4,5,9,10],[4,5,11,12],[4,6,9,15],[4,7,11,13],[4,8,13,14],[4,8,15,16],[5,6,12,14],[5,7,9,16],[5,8,13,16],[5,8,14,15],[6,7,8,10],[6,9,11,16],[6,10,11,14],[7,9,12,15],[7,10,12,13]]; G[1]:=Group([(2,4)(5,7)(8,12)(9,16)(10,14)(13,15),(1,8,11,12)(2,4,14,10)(3,13,6,15)(5,16,9,7)]); R[1]:=[]; RG[1]:=[]; # Design 1 / Resolution 1: autom. group order 8 R[1][1]:=[[1,34,38,39],[2,24,31,40],[3,18,30,37],[4,17,25,35],[5,14,23,27],[6,16,22,26],[7,13,19,36],[8,11,29,32],[9,12,21,33],[10,15,20,28]]; RG[1][1]:=Group([(1,12)(3,15)(4,10)(5,9)(6,13)(8,11),(1,8)(2,14)(3,13)(6,15)(7,16)(11,12),(1,11)(2,10)(3,6)(4,14)(5,16)(7,9)]); # Design 1 / Resolution 2: autom. group order 4 R[1][2]:=[[1,34,38,39],[2,24,31,40],[3,18,30,37],[4,17,25,35],[5,14,23,27],[6,16,20,28],[7,13,19,36],[8,11,29,32],[9,12,21,33],[10,15,22,26]]; RG[1][2]:=Group([(1,12)(3,15)(4,10)(5,9)(6,13)(8,11),(1,8)(2,14)(3,13)(6,15)(7,16)(11,12)]); # Design 1 / Resolution 3: autom. group order 8 R[1][3]:=[[1,34,38,39],[2,24,31,40],[3,18,30,37],[4,17,25,35],[5,14,23,27],[6,12,22,33],[7,13,19,36],[8,11,29,32],[9,16,21,26],[10,15,20,28]]; RG[1][3]:=Group([(1,12)(3,15)(4,10)(5,9)(6,13)(8,11),(1,8)(2,14)(3,13)(6,15)(7,16)(11,12),(1,11)(2,10)(3,6)(4,14)(5,16)(7,9)]); # Design 1 / Resolution 4: autom. group order 8 R[1][4]:=[[1,35,37,40],[2,25,30,39],[3,17,31,38],[4,18,24,34],[5,14,23,27],[6,12,22,33],[7,13,19,36],[8,11,29,32],[9,16,21,26],[10,15,20,28]]; RG[1][4]:=Group([(2,4)(5,7)(8,12)(9,16)(10,14)(13,15),(1,11)(2,10)(3,6)(4,14)(5,16)(7,9),(1,12,11,8)(2,10,14,4)(3,15,6,13)(5,7,9,16)]); # Design 1 / Resolution 5: autom. group order 8 R[1][5]:=[[1,35,37,40],[2,25,30,39],[3,17,31,38],[4,18,24,34],[5,14,23,27],[6,16,22,26],[7,13,19,36],[8,11,29,32],[9,12,21,33],[10,15,20,28]]; RG[1][5]:=Group([(2,4)(5,7)(8,12)(9,16)(10,14)(13,15),(1,11)(2,10)(3,6)(4,14)(5,16)(7,9),(1,12,11,8)(2,10,14,4)(3,15,6,13)(5,7,9,16)]); # Design 1 / Resolution 6: autom. group order 4 R[1][6]:=[[1,35,37,40],[2,25,30,39],[3,17,31,38],[4,18,24,34],[5,14,23,27],[6,16,20,28],[7,13,19,36],[8,11,29,32],[9,12,21,33],[10,15,22,26]]; RG[1][6]:=Group([(1,12)(3,15)(4,10)(5,9)(6,13)(8,11),(1,11)(2,14)(3,6)(4,10)(5,9)(7,16)(8,12)(13,15)]); # Design 2: 2 resolution(s), autom. group order 8 D[2]:=[[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],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,7,11],[2,5,12,13],[2,6,8,9],[2,6,10,16],[2,7,12,16],[2,8,10,13],[2,9,14,15],[2,11,14,15],[3,5,8,15],[3,5,13,14],[3,6,7,14],[3,6,15,16],[3,7,11,13],[3,8,9,16],[3,9,10,12],[3,10,11,12],[4,5,9,12],[4,5,10,15],[4,6,10,11],[4,6,12,14],[4,7,9,15],[4,7,13,16],[4,8,11,14],[4,8,13,16],[5,9,11,16],[5,10,14,16],[6,9,11,13],[6,12,13,15],[7,8,10,14],[7,8,12,15]]; G[2]:=Group([(5,6)(7,8)(9,11)(10,12)(13,16)(14,15),(1,2,4,3)(5,14,16,10)(6,15,13,12)(7,11,8,9)]); R[2]:=[]; RG[2]:=[]; # Design 2 / Resolution 1: autom. group order 8 R[2][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],[7,15,19,29],[8,11,24,30],[9,16,21,27],[10,13,23,28]]; RG[2][1]:=Group([(5,6)(7,8)(9,11)(10,12)(13,16)(14,15),(1,4)(2,3)(5,16)(6,13)(7,8)(9,11)(10,14)(12,15),(1,3,4,2)(5,10,16,14)(6,12,13,15)(7,9,8,11)]); # Design 2 / Resolution 2: autom. group order 8 R[2][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],[7,15,19,29],[8,11,24,30],[9,16,21,27],[10,13,23,28]]; RG[2][2]:=Group([(5,6)(7,8)(9,11)(10,12)(13,16)(14,15),(1,4)(2,3)(5,16)(6,13)(7,8)(9,11)(10,14)(12,15),(1,3,4,2)(5,10,16,14)(6,12,13,15)(7,9,8,11)]); # Design 3: 6 resolution(s), autom. group order 8, simple, decomposable D[3]:=[[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],[2,5,8,11],[2,6,10,16],[2,6,13,15],[2,7,12,16],[2,7,13,14],[2,9,12,15],[2,10,11,14],[3,4,14,16],[3,5,15,16],[3,6,8,10],[3,6,9,13],[3,7,8,12],[3,7,11,13],[3,9,12,15],[3,10,11,14],[4,5,9,14],[4,5,11,15],[4,6,11,12],[4,7,10,15],[4,8,13,16],[4,10,12,13],[5,6,12,14],[5,7,9,10],[5,8,13,16],[5,10,12,13],[6,8,14,15],[6,9,11,16],[7,8,14,15],[7,9,11,16]]; G[3]:=Group([(4,5)(6,7)(9,11)(10,12)(14,15),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15),(2,6,3,7)(8,12,16,10)(9,11,14,15)]); R[3]:=[]; RG[3]:=[]; # Design 3 / Resolution 1: autom. group order 8 R[3][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,15,21,27],[10,12,22,30]]; RG[3][1]:=Group([(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(2,3)(4,5)(8,16)(9,15)(11,14)]); # Design 3 / Resolution 2: autom. group order 4 R[3][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,15,21,27],[10,12,22,30]]; RG[3][2]:=Group([(2,3)(4,5)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 3 / Resolution 3: autom. group order 8 R[3][3]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,16,20,29],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,15,21,27],[10,12,22,30]]; RG[3][3]:=Group([(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(2,3)(4,5)(8,16)(9,15)(11,14)]); # Design 3 / Resolution 4: autom. group order 4 R[3][4]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,15,21,28],[8,11,24,33],[9,13,23,27],[10,12,22,30]]; RG[3][4]:=Group([(2,3)(4,5)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 3 / Resolution 5: autom. group order 8, decomposable R[3][5]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,15,21,28],[8,11,24,33],[9,13,23,27],[10,12,22,30]]; RG[3][5]:=Group([(2,3)(4,5)(8,16)(9,15)(11,14),(2,7)(3,6)(4,5)(8,10)(11,15)(12,16)]); # Design 3 / Resolution 6: autom. group order 8 R[3][6]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,16,20,29],[6,14,19,34],[7,15,21,28],[8,11,24,33],[9,13,23,27],[10,12,22,30]]; RG[3][6]:=Group([(2,3)(4,5)(8,16)(9,15)(11,14),(2,6)(3,7)(4,5)(8,12)(9,14)(10,16)]); # Design 4: 1 resolution(s), autom. group order 8, 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],[1,8,10,14],[1,9,15,16],[1,11,12,15],[1,13,14,16],[2,3,8,13],[2,4,6,12],[2,5,11,16],[2,7,8,14],[2,7,10,12],[2,9,10,15],[2,9,14,16],[2,11,13,15],[3,4,15,16],[3,5,12,16],[3,6,8,15],[3,6,11,14],[3,7,9,11],[3,9,10,13],[3,10,12,14],[4,5,8,13],[4,5,10,11],[4,6,7,9],[4,7,10,16],[4,11,13,14],[4,12,14,15],[5,6,9,14],[5,7,14,15],[5,8,10,15],[5,9,12,13],[6,7,13,15],[6,8,12,16],[6,10,13,16],[7,8,11,16],[8,9,11,12]]; G[4]:=Group([(1,2)(3,6)(4,5)(7,12)(8,11)(9,16)(10,13)(14,15),(1,4,8,9)(2,5,11,16)(3,13,12,15)(6,10,7,14)]); R[4]:=[]; RG[4]:=[]; # Design 4 / Resolution 1: autom. group order 8 R[4][1]:=[[1,33,38,40],[2,24,31,39],[3,16,30,37],[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[4][1]:=Group([(1,8)(2,11)(3,12)(4,9)(5,16)(6,7)(10,14)(13,15),(1,4,8,9)(2,5,11,16)(3,13,12,15)(6,10,7,14),(1,16,8,5)(2,9,11,4)(3,14,12,10)(6,15,7,13)]); # Design 5: 2 resolution(s), autom. group order 8 D[5]:=[[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],[2,6,10,14],[2,6,11,13],[2,7,8,10],[2,8,13,16],[2,9,12,16],[2,11,12,15],[3,5,8,16],[3,5,11,14],[3,6,9,13],[3,6,12,14],[3,7,8,12],[3,7,13,15],[3,9,10,16],[3,10,11,15],[4,5,9,11],[4,5,15,16],[4,6,10,16],[4,6,12,15],[4,7,9,12],[4,7,13,14],[4,8,10,11],[4,8,13,14],[5,10,12,13],[5,10,12,13],[6,7,11,16],[6,8,9,15],[7,11,14,16],[8,9,14,15]]; G[5]:=Group([(2,3)(7,8)(9,11)(10,12)(15,16),(1,4)(5,13)(6,14)(7,8)(9,11)(15,16),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); R[5]:=[]; RG[5]:=[]; # Design 5 / Resolution 1: autom. group order 4 R[5][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,13,23,28],[8,14,19,31],[9,11,21,33],[10,15,22,27]]; RG[5][1]:=Group([(1,4)(2,3)(5,13)(6,14)(10,12),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); # Design 5 / Resolution 2: autom. group order 4 R[5][2]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,11,21,33],[10,13,23,27]]; RG[5][2]:=Group([(1,4)(2,3)(5,13)(6,14)(10,12),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); # Design 6: 1 resolution(s), autom. group order 8, decomposable D[6]:=[[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],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,12,14],[2,6,8,16],[2,6,13,15],[2,7,9,11],[2,8,10,16],[2,9,12,14],[2,10,13,15],[3,5,8,15],[3,5,12,16],[3,6,7,14],[3,6,11,13],[3,7,10,12],[3,8,9,13],[3,9,14,16],[3,10,11,15],[4,5,9,13],[4,5,9,15],[4,6,10,12],[4,6,10,14],[4,7,13,16],[4,7,15,16],[4,8,11,12],[4,8,11,14],[5,10,11,16],[5,10,13,14],[6,9,11,16],[6,9,12,15],[7,8,12,15],[7,8,13,14]]; G[6]:=Group([(5,6)(7,8)(9,10)(11,16)(12,13)(14,15),(5,9)(6,10)(12,14)(13,15),(2,4)(5,12,10,15)(6,13,9,14)(7,11,8,16)]); R[6]:=[]; RG[6]:=[]; # Design 6 / Resolution 1: autom. group order 8, decomposable R[6][1]:=[[1,35,38,40],[2,36,37,39],[3,18,25,33],[4,17,26,31],[5,14,20,34],[6,12,22,32],[7,16,21,28],[8,13,23,27],[9,15,19,30],[10,11,24,29]]; RG[6][1]:=Group([(5,9)(6,10)(12,14)(13,15),(5,10)(6,9)(7,8)(11,16)(12,15)(13,14),(2,4)(5,12,10,15)(6,13,9,14)(7,11,8,16)]); # Design 7: 1 resolution(s), autom. group order 8 D[7]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,13],[2,5,8,13],[2,6,10,15],[2,6,12,16],[2,7,9,11],[2,8,11,16],[2,9,12,14],[2,10,14,15],[3,5,11,15],[3,5,12,16],[3,6,7,14],[3,6,8,14],[3,7,10,16],[3,8,9,10],[3,9,12,13],[3,11,13,15],[4,5,9,15],[4,5,10,12],[4,6,9,15],[4,6,11,12],[4,7,11,16],[4,7,13,14],[4,8,10,16],[4,8,13,14],[5,9,14,16],[5,10,11,14],[6,9,13,16],[6,10,11,13],[7,8,12,15],[7,8,12,15]]; G[7]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,2)(3,4)(6,13)(7,8)(9,11)(10,16)]); R[7]:=[]; RG[7]:=[]; # Design 7 / Resolution 1: autom. group order 8 R[7][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,31],[5,14,19,34],[6,13,20,32],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[7][1]:=Group([(1,4)(2,3)(5,14)(6,13)(9,16)(10,11),(1,2,4,3)(5,13,14,6)(9,11,16,10),(2,3)(5,6)(7,8)(10,11)(13,14)]); # Design 8: 1 resolution(s), autom. group order 8 D[8]:=[[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],[1,12,14,16],[1,13,15,16],[2,5,8,12],[2,5,8,15],[2,6,9,14],[2,6,13,15],[2,7,9,13],[2,7,12,14],[2,10,11,16],[2,10,11,16],[3,5,13,16],[3,5,14,16],[3,6,8,10],[3,6,11,14],[3,7,8,11],[3,7,10,13],[3,9,12,15],[3,9,12,15],[4,5,10,12],[4,5,11,15],[4,6,9,16],[4,6,10,15],[4,7,9,16],[4,7,11,12],[4,8,13,14],[4,8,13,14],[5,9,10,14],[5,9,11,13],[6,8,12,16],[6,11,12,13],[7,8,15,16],[7,10,14,15]]; G[8]:=Group([(6,7)(10,11)(12,15)(13,14),(1,2,3,4)(5,16,9,8)(6,10,12,14)(7,11,15,13)]); R[8]:=[]; RG[8]:=[]; # Design 8 / Resolution 1: autom. group order 8 R[8][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,33],[4,18,26,34],[5,14,20,32],[6,16,19,30],[7,12,22,31],[8,11,24,29],[9,15,21,28],[10,13,23,27]]; RG[8][1]:=Group([(6,7)(10,11)(12,15)(13,14),(1,3)(2,4)(5,9)(6,12)(7,15)(8,16)(10,14)(11,13),(1,2,3,4)(5,16,9,8)(6,10,12,14)(7,11,15,13)]); # Design 9: 1 resolution(s), autom. group order 8, decomposable D[9]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,13],[2,5,9,10],[2,6,8,14],[2,6,9,11],[2,7,13,15],[2,8,14,16],[2,10,12,15],[2,11,12,16],[3,5,11,15],[3,5,12,14],[3,6,10,16],[3,6,11,13],[3,7,8,12],[3,7,9,16],[3,8,10,15],[3,9,13,14],[4,5,10,14],[4,5,11,15],[4,6,10,16],[4,6,12,13],[4,7,8,12],[4,7,11,16],[4,8,9,15],[4,9,13,14],[5,8,13,16],[5,9,12,16],[6,7,14,15],[6,9,12,15],[7,10,11,14],[8,10,11,13]]; G[9]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,6)(7,8)(10,11)(13,14)(15,16),(1,2)(5,8,16,13)(6,14,15,7)(9,11,12,10)]); R[9]:=[]; RG[9]:=[]; # Design 9 / Resolution 1: autom. group order 8, decomposable R[9][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,16,19,30],[6,15,20,29],[7,13,24,28],[8,11,21,33],[9,14,23,27],[10,12,22,31]]; RG[9][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,15)(6,16)(7,13)(8,14)(9,12),(1,2)(5,8,16,13)(6,14,15,7)(9,11,12,10)]); # Design 10: 10 resolution(s), autom. group order 8, decomposable D[10]:=[[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],[2,6,10,16],[2,6,11,13],[2,7,8,10],[2,8,13,14],[2,9,11,12],[2,12,14,15],[3,5,8,14],[3,5,11,16],[3,6,9,13],[3,6,12,16],[3,7,8,12],[3,7,13,15],[3,9,10,11],[3,10,14,15],[4,5,9,14],[4,5,11,15],[4,6,10,14],[4,6,12,15],[4,7,9,12],[4,7,13,16],[4,8,10,11],[4,8,13,16],[5,10,12,13],[5,10,12,13],[6,7,11,14],[6,8,9,15],[7,11,14,16],[8,9,15,16]]; G[10]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(7,8)(9,11)(14,15),(1,5)(2,10)(3,12)(4,13)(9,15)(11,14)]); R[10]:=[]; RG[10]:=[]; # Design 10 / Resolution 1: autom. group order 8 R[10][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,13,23,28],[8,14,19,31],[9,15,22,27],[10,11,21,33]]; RG[10][1]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(7,8)(9,11)(14,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 2: autom. group order 8 R[10][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[10][2]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(7,8)(9,11)(14,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 3: autom. group order 8, decomposable R[10][3]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[10][3]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(7,8)(9,11)(14,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 4: autom. group order 8 R[10][4]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,13,23,28],[8,14,19,31],[9,15,22,27],[10,11,21,33]]; RG[10][4]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,4)(5,13)(6,16)(7,8)(9,11)(14,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 5: autom. group order 2 R[10][5]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,23,27],[9,13,19,31],[10,11,21,33]]; RG[10][5]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 6: autom. group order 4 R[10][6]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,22,28],[6,12,24,29],[7,15,20,30],[8,14,23,27],[9,13,19,31],[10,11,21,33]]; RG[10][6]:=Group([(1,4)(2,3)(5,13)(6,16)(10,12),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 7: autom. group order 2 R[10][7]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,22,28],[6,12,24,29],[7,15,20,30],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[10][7]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 8: autom. group order 4 R[10][8]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,11,22,33],[8,14,23,27],[9,13,19,31],[10,15,21,28]]; RG[10][8]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(4,5)(6,16)(9,15)(11,14)]); # Design 10 / Resolution 9: autom. group order 4 R[10][9]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,13,24,27],[7,11,22,33],[8,14,19,31],[9,12,23,29],[10,15,21,28]]; RG[10][9]:=Group([(1,4)(2,3)(5,13)(6,16)(10,12),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)(11,15)]); # Design 10 / Resolution 10: autom. group order 4 R[10][10]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,22,28],[6,13,24,27],[7,15,20,30],[8,14,19,31],[9,12,23,29],[10,11,21,33]]; RG[10][10]:=Group([(2,3)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(4,5)(6,16)(9,15)(11,14)]); # Design 11: 2 resolution(s), autom. group order 8, simple, decomposable D[11]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,4,8,10],[2,5,7,15],[2,6,9,12],[2,6,11,16],[2,7,12,14],[2,8,14,16],[2,9,13,15],[2,10,11,13],[3,4,13,16],[3,5,12,13],[3,6,9,12],[3,6,10,16],[3,7,8,11],[3,7,8,15],[3,9,14,15],[3,10,11,14],[4,5,9,14],[4,5,10,14],[4,6,11,15],[4,7,12,16],[4,8,9,13],[4,11,12,15],[5,6,10,15],[5,7,11,13],[5,8,12,16],[5,9,11,16],[6,7,13,14],[6,8,13,14],[7,9,10,16],[8,10,12,15]]; G[11]:=Group([(1,3,7,9,6,14,4,15)(2,8,10,12,13,5,11,16)]); R[11]:=[]; RG[11]:=[]; # Design 11 / Resolution 1: autom. group order 8, decomposable R[11][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,15,19,33],[7,14,24,27],[8,12,22,31],[9,13,23,28],[10,11,21,34]]; RG[11][1]:=Group([(1,3,7,9,6,14,4,15)(2,8,10,12,13,5,11,16)]); # Design 11 / Resolution 2: autom. group order 8 R[11][2]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,15,19,33],[7,14,24,27],[8,12,22,31],[9,13,23,28],[10,11,21,34]]; RG[11][2]:=Group([(1,14,7,15,6,3,4,9)(2,5,10,16,13,8,11,12)]); # Design 12: 2 resolution(s), autom. group order 8 D[12]:=[[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],[2,9,11,16],[2,10,12,16],[3,5,8,10],[3,5,14,16],[3,6,7,12],[3,6,15,16],[3,7,11,14],[3,8,9,15],[3,9,11,13],[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],[5,9,12,15],[5,10,11,15],[6,9,12,14],[6,10,11,14],[7,8,13,16],[7,8,13,16]]; G[12]:=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)]); R[12]:=[]; RG[12]:=[]; # Design 12 / Resolution 1: autom. group order 4 R[12][1]:=[[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[12][1]:=Group([(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 12 / Resolution 2: autom. group order 4 R[12][2]:=[[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[12][2]:=Group([(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 13: 2 resolution(s), autom. group order 8, simple D[13]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,4,8,15],[2,5,9,14],[2,6,8,10],[2,6,11,13],[2,7,10,14],[2,7,13,16],[2,9,12,16],[2,11,12,15],[3,4,11,14],[3,5,8,16],[3,6,8,12],[3,6,9,13],[3,7,12,14],[3,7,13,15],[3,9,10,16],[3,10,11,15],[4,5,9,11],[4,5,15,16],[4,6,10,16],[4,7,9,12],[4,8,13,14],[4,10,12,13],[5,6,12,15],[5,7,10,11],[5,8,13,14],[5,10,12,13],[6,9,14,15],[6,11,14,16],[7,8,9,15],[7,8,11,16]]; G[13]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(2,3)(6,7)(8,14)(9,16)(10,12)(11,15),(1,13)(2,10)(3,12)(6,8)(7,14)(9,11)(15,16)]); R[13]:=[]; RG[13]:=[]; # Design 13 / Resolution 1: autom. group order 2 R[13][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[13][1]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16)]); # Design 13 / Resolution 2: autom. group order 2 R[13][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[13][2]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16)]); # Design 14: 1 resolution(s), autom. group order 8, simple D[14]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[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],[2,4,11,12],[2,5,7,14],[2,6,9,16],[2,6,10,11],[2,7,8,13],[2,8,12,16],[2,9,14,15],[2,10,13,15],[3,4,8,13],[3,5,11,15],[3,6,9,11],[3,6,10,16],[3,7,8,14],[3,7,15,16],[3,9,12,14],[3,10,12,13],[4,5,9,12],[4,5,10,15],[4,6,13,14],[4,7,11,16],[4,8,9,15],[4,10,14,16],[5,6,13,14],[5,7,10,12],[5,8,11,16],[5,9,13,16],[6,7,12,15],[6,8,12,15],[7,9,11,13],[8,10,11,14]]; G[14]:=Group([(2,3)(4,5)(7,8)(9,10)(12,15)(13,14),(2,9)(3,10)(4,7)(5,8)(12,13)(14,15),(1,6)(2,12)(3,15)(4,8)(5,7)(9,13)(10,14)(11,16)]); R[14]:=[]; RG[14]:=[]; # Design 14 / Resolution 1: autom. group order 4 R[14][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,13,19,34],[9,15,21,28],[10,14,23,27]]; RG[14][1]:=Group([(1,6)(2,14)(3,13)(9,15)(10,12)(11,16),(2,9)(3,10)(4,7)(5,8)(12,13)(14,15)]); # Design 15: 6 resolution(s), autom. group order 8, simple D[15]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,8,10],[1,7,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,8,14],[2,4,10,11],[2,5,12,13],[2,6,11,14],[2,7,10,15],[2,7,13,16],[2,8,9,16],[2,9,12,15],[3,4,15,16],[3,5,10,14],[3,6,9,13],[3,6,12,16],[3,7,8,13],[3,9,11,15],[3,10,11,12],[4,5,8,11],[4,5,9,12],[4,6,7,12],[4,6,13,15],[4,7,14,16],[4,10,13,14],[5,6,14,15],[5,7,8,15],[5,9,10,16],[5,11,13,16],[6,7,9,10],[6,8,11,16],[7,9,11,14],[8,10,12,13],[8,12,14,15]]; G[15]:=Group([(1,4)(2,8)(3,9)(6,11)(7,12)(13,15)(14,16),(1,6)(3,14)(4,11)(7,15)(9,16)(12,13),(1,7)(2,8)(4,13)(6,15)(9,16)(11,12)]); R[15]:=[]; RG[15]:=[]; # Design 15 / Resolution 1: autom. group order 4 R[15][1]:=[[1,35,36,40],[2,19,38,39],[3,18,31,37],[4,16,25,32],[5,13,24,30],[6,17,20,29],[7,12,22,33],[8,14,23,27],[9,11,28,34],[10,15,21,26]]; RG[15][1]:=Group([(1,6)(3,14)(4,11)(7,15)(9,16)(12,13),(1,13,6,12)(3,16,14,9)(4,7,11,15)]); # Design 15 / Resolution 2: autom. group order 4 R[15][2]:=[[1,35,36,40],[2,19,38,39],[3,18,31,37],[4,16,25,32],[5,13,24,30],[6,11,29,34],[7,12,22,33],[8,14,23,27],[9,17,20,28],[10,15,21,26]]; RG[15][2]:=Group([(1,6)(3,14)(4,11)(7,15)(9,16)(12,13),(1,13,6,12)(3,16,14,9)(4,7,11,15)]); # Design 15 / Resolution 3: autom. group order 8 R[15][3]:=[[1,35,36,40],[2,19,38,39],[3,18,31,37],[4,16,25,32],[5,13,24,30],[6,17,20,29],[7,15,22,26],[8,14,23,27],[9,11,28,34],[10,12,21,33]]; RG[15][3]:=Group([(1,6)(3,14)(4,11)(7,15)(9,16)(12,13),(1,13,6,12)(3,16,14,9)(4,7,11,15),(1,7)(2,8)(4,13)(6,15)(9,16)(11,12)]); # Design 15 / Resolution 4: autom. group order 8 R[15][4]:=[[1,35,36,40],[2,19,38,39],[3,18,31,37],[4,16,25,32],[5,13,24,30],[6,11,29,34],[7,15,22,26],[8,14,23,27],[9,17,20,28],[10,12,21,33]]; RG[15][4]:=Group([(1,6)(3,14)(4,11)(7,15)(9,16)(12,13),(1,13,6,12)(3,16,14,9)(4,7,11,15),(1,7)(2,8)(4,13)(6,15)(9,16)(11,12)]); # Design 15 / Resolution 5: autom. group order 8 R[15][5]:=[[1,35,36,40],[2,24,30,39],[3,18,31,37],[4,16,25,32],[5,13,19,38],[6,17,20,29],[7,12,22,33],[8,14,23,27],[9,11,28,34],[10,15,21,26]]; RG[15][5]:=Group([(1,7)(2,8)(4,13)(6,15)(9,16)(11,12),(1,15)(2,8)(3,14)(4,12)(6,7)(11,13),(1,4)(2,8)(3,9)(6,11)(7,12)(13,15)(14,16)]); # Design 15 / Resolution 6: autom. group order 8 R[15][6]:=[[1,35,36,40],[2,24,30,39],[3,18,31,37],[4,16,25,32],[5,13,19,38],[6,11,29,34],[7,12,22,33],[8,14,23,27],[9,17,20,28],[10,15,21,26]]; RG[15][6]:=Group([(1,7)(2,8)(4,13)(6,15)(9,16)(11,12),(1,15)(2,8)(3,14)(4,12)(6,7)(11,13),(1,4)(2,8)(3,9)(6,11)(7,12)(13,15)(14,16)]); # Design 16: 2 resolution(s), autom. group order 8, simple D[16]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,4,8,15],[2,5,9,14],[2,6,8,10],[2,6,11,13],[2,7,10,14],[2,7,13,16],[2,9,12,15],[2,11,12,16],[3,4,11,14],[3,5,8,16],[3,6,8,12],[3,6,9,13],[3,7,12,14],[3,7,13,15],[3,9,10,15],[3,10,11,16],[4,5,9,11],[4,5,15,16],[4,6,10,16],[4,7,9,12],[4,8,13,14],[4,10,12,13],[5,6,12,15],[5,7,10,11],[5,8,13,14],[5,10,12,13],[6,9,14,16],[6,11,14,15],[7,8,9,16],[7,8,11,15]]; G[16]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(2,3)(6,7)(8,14)(9,16)(10,12)(11,15),(1,13)(2,10)(3,12)(6,8)(7,14)(9,11)(15,16)]); R[16]:=[]; RG[16]:=[]; # Design 16 / Resolution 1: autom. group order 2 R[16][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[16][1]:=Group([(1,13)(2,10)(3,12)(4,5)(6,14)(7,8)(9,16)(11,15)]); # Design 16 / Resolution 2: autom. group order 2 R[16][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[16][2]:=Group([(1,13)(2,10)(3,12)(4,5)(6,14)(7,8)(9,16)(11,15)]); # Design 17: 1 resolution(s), autom. group order 8 D[17]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,10,12],[1,8,13,14],[1,9,15,16],[1,11,13,15],[1,12,14,16],[2,5,6,14],[2,5,7,12],[2,6,8,10],[2,7,13,16],[2,8,11,13],[2,9,10,16],[2,9,11,15],[2,12,14,15],[3,5,9,14],[3,5,13,16],[3,6,7,15],[3,6,8,16],[3,7,9,11],[3,8,11,12],[3,10,12,15],[3,10,13,14],[4,5,11,12],[4,5,13,15],[4,6,11,14],[4,6,15,16],[4,7,8,9],[4,7,10,13],[4,8,12,16],[4,9,10,14],[5,8,10,15],[5,10,11,16],[6,9,12,13],[6,9,12,13],[7,8,14,15],[7,11,14,16]]; G[17]:=Group([(1,2)(3,4)(5,7)(6,12)(8,16)(9,13)(10,14)(11,15),(1,3)(2,4)(5,10)(6,13)(7,14)(8,15)(9,12)(11,16),(1,6,3,13)(2,12,4,9)(5,8,10,15)(7,16,14,11)]); R[17]:=[]; RG[17]:=[]; # Design 17 / Resolution 1: autom. group order 8 R[17][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,14,25,29],[5,18,20,31],[6,15,19,30],[7,16,21,27],[8,11,24,32],[9,12,22,34],[10,13,23,28]]; RG[17][1]:=Group([(1,3)(2,4)(5,10)(6,13)(7,14)(8,15)(9,12)(11,16),(1,2)(3,4)(5,7)(6,12)(8,16)(9,13)(10,14)(11,15),(1,9,3,12)(2,13,4,6)(5,11,10,16)(7,15,14,8)]); # Design 18: 2 resolution(s), autom. group order 8, simple D[18]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,4,8,15],[2,5,9,14],[2,6,8,12],[2,6,11,13],[2,7,12,14],[2,7,13,16],[2,9,10,16],[2,10,11,15],[3,4,11,14],[3,5,8,16],[3,6,8,10],[3,6,9,13],[3,7,10,14],[3,7,13,15],[3,9,12,16],[3,11,12,15],[4,5,9,11],[4,5,15,16],[4,6,10,16],[4,7,9,12],[4,8,13,14],[4,10,12,13],[5,6,12,15],[5,7,10,11],[5,8,13,14],[5,10,12,13],[6,9,14,15],[6,11,14,16],[7,8,9,15],[7,8,11,16]]; G[18]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(2,3)(6,7)(8,14)(9,16)(10,12)(11,15),(1,13)(2,10)(3,12)(6,8)(7,14)(9,11)(15,16)]); R[18]:=[]; RG[18]:=[]; # Design 18 / Resolution 1: autom. group order 2 R[18][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[18][1]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16)]); # Design 18 / Resolution 2: autom. group order 2 R[18][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[18][2]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16)]); # Design 19: 3 resolution(s), autom. group order 8, simple D[19]:=[[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],[1,9,10,12],[1,11,14,16],[1,13,15,16],[2,3,8,10],[2,4,12,15],[2,5,11,12],[2,6,13,15],[2,7,8,16],[2,7,13,14],[2,9,10,14],[2,9,11,16],[3,4,6,16],[3,5,10,13],[3,6,11,15],[3,7,11,14],[3,8,12,14],[3,9,12,15],[3,9,13,16],[4,5,8,16],[4,5,13,14],[4,6,7,10],[4,7,11,12],[4,9,11,13],[4,10,14,15],[5,6,9,14],[5,7,9,15],[5,8,11,15],[5,10,12,16],[6,7,8,9],[6,8,12,13],[6,12,14,16],[7,10,15,16],[8,10,11,13]]; G[19]:=Group([(2,14)(3,15)(4,8)(5,16)(6,11)(7,13),(1,9,12,10)(2,7,14,13)(3,5,6,8)(4,15,16,11)]); R[19]:=[]; RG[19]:=[]; # Design 19 / Resolution 1: autom. group order 8 R[19][1]:=[[1,33,38,40],[2,23,30,39],[3,18,31,37],[4,14,22,35],[5,15,24,27],[6,17,21,26],[7,13,25,28],[8,16,19,34],[9,12,20,36],[10,11,29,32]]; RG[19][1]:=Group([(1,12)(2,14)(3,6)(4,16)(5,8)(7,13)(9,10)(11,15),(1,9,12,10)(2,13,14,7)(3,16,6,4)(5,11,8,15),(2,14)(3,15)(4,8)(5,16)(6,11)(7,13)]); # Design 19 / Resolution 2: autom. group order 8 R[19][2]:=[[1,33,38,40],[2,23,30,39],[3,18,31,37],[4,14,22,35],[5,15,24,27],[6,17,19,34],[7,13,25,28],[8,16,21,26],[9,12,20,36],[10,11,29,32]]; RG[19][2]:=Group([(1,12)(2,14)(3,6)(4,16)(5,8)(7,13)(9,10)(11,15),(1,9,12,10)(2,13,14,7)(3,16,6,4)(5,11,8,15),(2,14)(3,15)(4,8)(5,16)(6,11)(7,13)]); # Design 19 / Resolution 3: autom. group order 4 R[19][3]:=[[1,33,38,40],[2,23,30,39],[3,18,31,37],[4,16,21,35],[5,15,24,27],[6,17,19,34],[7,13,25,28],[8,14,22,26],[9,12,20,36],[10,11,29,32]]; RG[19][3]:=Group([(2,14)(3,15)(4,8)(5,16)(6,11)(7,13),(1,12)(3,11)(4,5)(6,15)(8,16)(9,10)]); # Design 20: 2 resolution(s), autom. group order 8, simple D[20]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,4,11,13],[2,5,7,16],[2,6,8,9],[2,6,10,15],[2,7,14,15],[2,8,9,13],[2,10,12,16],[2,11,12,14],[3,4,8,14],[3,5,10,13],[3,6,7,12],[3,6,11,15],[3,7,12,13],[3,8,15,16],[3,9,10,16],[3,9,11,14],[4,5,10,11],[4,5,14,16],[4,6,9,16],[4,7,13,15],[4,8,10,12],[4,9,12,15],[5,6,12,14],[5,7,9,11],[5,8,13,15],[5,9,12,15],[6,10,13,14],[6,11,13,16],[7,8,10,14],[7,8,11,16]]; G[20]:=Group([(2,3)(4,5)(7,8)(9,12)(10,11)(14,16),(1,7,15,8)(2,3,12,9)(4,13,5,6)(10,14,16,11)]); R[20]:=[]; RG[20]:=[]; # Design 20 / Resolution 1: autom. group order 2 R[20][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,11,24,33],[6,15,20,29],[7,12,22,31],[8,16,21,28],[9,14,19,34],[10,13,23,27]]; RG[20][1]:=Group([(1,7)(2,12)(4,6)(5,13)(8,15)(11,14)]); # Design 20 / Resolution 2: autom. group order 2 R[20][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,11,24,33],[6,15,20,29],[7,12,22,31],[8,13,23,28],[9,14,19,34],[10,16,21,27]]; RG[20][2]:=Group([(1,8)(3,9)(4,13)(5,6)(7,15)(10,16)]); # Design 21: 6 resolution(s), autom. group order 8, decomposable D[21]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,15],[2,5,8,16],[2,6,9,13],[2,6,9,14],[2,7,12,14],[2,8,12,13],[2,10,11,15],[2,10,11,16],[3,5,13,15],[3,5,14,16],[3,6,10,13],[3,6,11,14],[3,7,8,10],[3,7,8,11],[3,9,12,15],[3,9,12,16],[4,5,10,12],[4,5,11,12],[4,6,10,16],[4,6,11,15],[4,7,9,15],[4,7,13,14],[4,8,9,16],[4,8,13,14],[5,9,10,14],[5,9,11,13],[6,7,12,16],[6,8,12,15],[7,11,13,16],[8,10,14,15]]; G[21]:=Group([(7,8)(10,11)(13,14)(15,16),(1,2,3,4)(5,6,9,12)(7,13,16,11)(8,14,15,10)]); R[21]:=[]; RG[21]:=[]; # Design 21 / Resolution 1: autom. group order 8 R[21][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,15,19,29],[7,11,22,33],[8,12,21,31],[9,14,24,27],[10,13,23,28]]; RG[21][1]:=Group([(7,8)(10,11)(13,14)(15,16),(1,3)(2,4)(5,9)(6,12)(7,16)(8,15)(10,14)(11,13),(1,4,3,2)(5,12,9,6)(7,10,16,14)(8,11,15,13)]); # Design 21 / Resolution 2: autom. group order 4 R[21][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,15,19,29],[7,11,22,33],[8,12,21,31],[9,14,23,28],[10,13,24,27]]; RG[21][2]:=Group([(7,8)(10,11)(13,14)(15,16),(1,3)(2,4)(5,9)(6,12)(7,16)(8,15)(10,14)(11,13)]); # Design 21 / Resolution 3: autom. group order 8, decomposable R[21][3]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,15,19,29],[7,12,22,31],[8,11,21,33],[9,14,24,27],[10,13,23,28]]; RG[21][3]:=Group([(7,8)(10,11)(13,14)(15,16),(1,3)(2,4)(5,9)(6,12)(7,16)(8,15)(10,14)(11,13),(1,4,3,2)(5,12,9,6)(7,10,16,14)(8,11,15,13)]); # Design 21 / Resolution 4: autom. group order 4 R[21][4]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,15,19,29],[7,12,22,31],[8,11,21,33],[9,14,23,28],[10,13,24,27]]; RG[21][4]:=Group([(7,8)(10,11)(13,14)(15,16),(1,3)(2,4)(5,9)(6,12)(7,16)(8,15)(10,14)(11,13)]); # Design 21 / Resolution 5: autom. group order 8 R[21][5]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,15,19,29],[7,11,22,33],[8,12,21,31],[9,14,23,28],[10,13,24,27]]; RG[21][5]:=Group([(7,8)(10,11)(13,14)(15,16),(1,3)(2,4)(5,9)(6,12)(7,16)(8,15)(10,14)(11,13),(1,4,3,2)(5,12,9,6)(7,10,16,14)(8,11,15,13)]); # Design 21 / Resolution 6: autom. group order 8 R[21][6]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,15,19,29],[7,12,22,31],[8,11,21,33],[9,14,23,28],[10,13,24,27]]; RG[21][6]:=Group([(7,8)(10,11)(13,14)(15,16),(1,3)(2,4)(5,9)(6,12)(7,16)(8,15)(10,14)(11,13),(1,4,3,2)(5,12,9,6)(7,10,16,14)(8,11,15,13)]); # Design 22: 1 resolution(s), autom. group order 8, simple D[22]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,10,11],[1,7,12,13],[1,8,10,14],[1,9,15,16],[1,11,12,15],[1,13,14,16],[2,3,10,16],[2,4,13,14],[2,5,13,15],[2,6,8,16],[2,7,9,12],[2,7,10,15],[2,8,9,11],[2,11,12,14],[3,4,6,15],[3,5,8,13],[3,6,9,12],[3,7,11,14],[3,8,12,15],[3,9,10,14],[3,11,13,16],[4,5,9,14],[4,5,11,15],[4,6,7,10],[4,7,11,16],[4,8,12,16],[4,10,12,13],[5,6,12,14],[5,7,9,16],[5,8,10,11],[5,10,12,16],[6,7,8,13],[6,9,11,13],[6,14,15,16],[7,8,14,15],[9,10,13,15]]; G[22]:=Group([(1,2,12,16)(3,11,10,15)(4,14,5,9)(6,7,8,13),(1,3,12,10)(2,15,16,11)(4,8,5,6)(7,9,13,14)]); R[22]:=[]; RG[22]:=[]; # Design 22 / Resolution 1: autom. group order 8 R[22][1]:=[[1,35,37,39],[2,22,30,40],[3,17,31,38],[4,16,25,32],[5,12,23,33],[6,14,24,27],[7,13,21,29],[8,18,20,28],[9,11,26,36],[10,15,19,34]]; RG[22][1]:=Group([(1,12)(2,16)(3,10)(4,5)(6,8)(7,13)(9,14)(11,15),(1,11,12,15)(2,3,16,10)(4,13,5,7)(6,14,8,9),(1,2,12,16)(3,11,10,15)(4,14,5,9)(6,7,8,13)]); # Design 23: 3 resolution(s), autom. group order 8, simple, decomposable D[23]:=[[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],[2,5,11,12],[2,6,8,15],[2,6,14,16],[2,7,9,14],[2,7,11,15],[2,10,12,13],[2,10,13,16],[3,4,13,15],[3,5,8,16],[3,6,8,10],[3,6,13,14],[3,7,10,11],[3,7,12,14],[3,9,11,16],[3,9,12,15],[4,5,9,13],[4,5,12,16],[4,6,10,12],[4,7,15,16],[4,8,11,14],[4,10,11,14],[5,6,11,13],[5,7,9,10],[5,8,14,15],[5,10,14,15],[6,9,11,16],[6,9,12,15],[7,8,12,13],[7,8,13,16]]; G[23]:=Group([(2,7)(3,6)(4,5)(8,10)(11,15)(12,16),(1,9,13,14)(2,11,7,15)(3,16,8,5)(4,6,12,10)]); R[23]:=[]; RG[23]:=[]; # Design 23 / Resolution 1: autom. group order 8, decomposable R[23][1]:=[[1,36,37,39],[2,32,38,40],[3,17,25,35],[4,18,26,31],[5,12,22,30],[6,14,19,34],[7,16,21,28],[8,11,24,33],[9,15,20,29],[10,13,23,27]]; RG[23][1]:=Group([(1,13)(3,10)(4,16)(5,12)(6,8)(9,14),(1,14,13,9)(2,15,7,11)(3,5,8,16)(4,10,12,6)]); # Design 23 / Resolution 2: autom. group order 4 R[23][2]:=[[1,36,37,39],[2,32,38,40],[3,17,25,35],[4,18,26,31],[5,12,22,30],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,15,20,29],[10,16,21,27]]; RG[23][2]:=Group([(1,13)(3,10)(4,16)(5,12)(6,8)(9,14),(2,7)(3,6)(4,5)(8,10)(11,15)(12,16)]); # Design 23 / Resolution 3: autom. group order 8 R[23][3]:=[[1,36,37,39],[2,32,38,40],[3,17,25,35],[4,18,26,31],[5,12,22,30],[6,14,19,34],[7,16,20,29],[8,11,24,33],[9,15,21,28],[10,13,23,27]]; RG[23][3]:=Group([(1,13)(3,10)(4,16)(5,12)(6,8)(9,14),(1,14,13,9)(2,11,7,15)(3,4,8,12)(5,10,16,6)]); # Design 24: 3 resolution(s), autom. group order 8, simple D[24]:=[[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],[2,3,8,15],[2,4,10,12],[2,5,8,13],[2,6,15,16],[2,7,11,12],[2,7,13,14],[2,9,10,14],[2,9,11,16],[3,4,6,13],[3,5,11,14],[3,6,11,12],[3,7,9,16],[3,8,10,14],[3,9,12,15],[3,10,13,16],[4,5,8,16],[4,5,9,11],[4,6,7,10],[4,7,14,16],[4,11,13,15],[4,12,14,15],[5,6,14,15],[5,7,10,15],[5,9,12,13],[5,10,12,16],[6,7,8,9],[6,8,12,16],[6,9,13,14],[7,8,11,15],[8,10,11,13]]; G[24]:=Group([(1,4,11,7)(2,5,8,13)(3,9,15,12)(6,16,10,14),(1,6)(3,15)(4,16)(7,14)(9,12)(10,11)]); R[24]:=[]; RG[24]:=[]; # Design 24 / Resolution 1: autom. group order 8 R[24][1]:=[[1,35,38,39],[2,22,31,40],[3,17,30,37],[4,15,25,32],[5,11,29,34],[6,14,23,27],[7,18,19,33],[8,16,21,26],[9,13,24,28],[10,12,20,36]]; RG[24][1]:=Group([(1,11)(2,8)(3,15)(4,7)(5,13)(6,10)(9,12)(14,16),(1,16,11,14)(2,5,8,13)(3,12,15,9)(4,10,7,6),(1,10)(2,8)(4,14)(5,13)(6,11)(7,16)]); # Design 24 / Resolution 2: autom. group order 8 R[24][2]:=[[1,35,38,39],[2,22,31,40],[3,17,30,37],[4,15,25,32],[5,13,24,29],[6,14,23,27],[7,18,19,33],[8,16,21,26],[9,11,28,34],[10,12,20,36]]; RG[24][2]:=Group([(1,11)(2,8)(3,15)(4,7)(5,13)(6,10)(9,12)(14,16),(1,16,11,14)(2,5,8,13)(3,12,15,9)(4,10,7,6),(1,10)(2,8)(4,14)(5,13)(6,11)(7,16)]); # Design 24 / Resolution 3: autom. group order 4 R[24][3]:=[[1,35,38,39],[2,22,31,40],[3,17,30,37],[4,15,25,32],[5,16,24,26],[6,14,23,27],[7,18,19,33],[8,13,21,29],[9,11,28,34],[10,12,20,36]]; RG[24][3]:=Group([(1,10)(2,8)(4,14)(5,13)(6,11)(7,16),(1,6)(3,15)(4,16)(7,14)(9,12)(10,11)]); # Design 25: 6 resolution(s), autom. group order 8, decomposable 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],[1,9,12,15],[1,11,13,16],[1,14,15,16],[2,5,6,15],[2,5,8,13],[2,6,9,10],[2,7,8,11],[2,7,12,16],[2,9,13,16],[2,10,12,14],[2,11,14,15],[3,5,7,14],[3,5,9,11],[3,6,9,12],[3,6,14,16],[3,7,8,15],[3,8,10,16],[3,10,12,13],[3,11,13,15],[4,5,10,13],[4,5,12,14],[4,6,7,16],[4,6,13,15],[4,7,10,11],[4,8,9,16],[4,8,12,15],[4,9,11,14],[5,10,15,16],[5,11,12,16],[6,8,11,12],[6,8,13,14],[7,9,10,15],[7,9,13,14]]; G[25]:=Group([(2,3)(6,9)(7,8)(10,12)(11,15)(13,14),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); R[25]:=[]; RG[25]:=[]; # Design 25 / Resolution 1: autom. group order 8, decomposable R[25][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,32],[4,17,26,29],[5,16,19,33],[6,11,24,34],[7,15,20,30],[8,12,22,31],[9,13,23,28],[10,14,21,27]]; RG[25][1]:=Group([(2,3)(6,9)(7,8)(10,12)(11,15)(13,14),(1,4)(5,16)(6,7)(8,9)(10,11)(12,15),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); # Design 25 / Resolution 2: autom. group order 8 R[25][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,32],[4,18,25,29],[5,16,19,33],[6,11,24,34],[7,15,20,30],[8,12,22,31],[9,13,23,28],[10,14,21,27]]; RG[25][2]:=Group([(2,3)(6,9)(7,8)(10,12)(11,15)(13,14),(1,4)(5,16)(6,7)(8,9)(10,11)(12,15),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); # Design 25 / Resolution 3: autom. group order 4 R[25][3]:=[[1,35,37,40],[2,36,38,39],[3,18,25,32],[4,17,26,29],[5,16,19,33],[6,11,24,34],[7,15,20,30],[8,14,22,27],[9,13,23,28],[10,12,21,31]]; RG[25][3]:=Group([(1,4)(2,3)(5,16)(6,8)(7,9)(10,15)(11,12)(13,14),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); # Design 25 / Resolution 4: autom. group order 4 R[25][4]:=[[1,35,37,40],[2,36,38,39],[3,17,26,32],[4,18,25,29],[5,16,19,33],[6,11,24,34],[7,15,20,30],[8,14,22,27],[9,13,23,28],[10,12,21,31]]; RG[25][4]:=Group([(1,4)(2,3)(5,16)(6,8)(7,9)(10,15)(11,12)(13,14),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); # Design 25 / Resolution 5: autom. group order 8 R[25][5]:=[[1,35,37,40],[2,36,38,39],[3,18,25,32],[4,17,26,29],[5,16,23,28],[6,11,24,34],[7,15,20,30],[8,14,22,27],[9,13,19,33],[10,12,21,31]]; RG[25][5]:=Group([(2,3)(6,9)(7,8)(10,12)(11,15)(13,14),(1,4)(5,16)(6,7)(8,9)(10,11)(12,15),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); # Design 25 / Resolution 6: autom. group order 8 R[25][6]:=[[1,35,37,40],[2,36,38,39],[3,17,26,32],[4,18,25,29],[5,16,23,28],[6,11,24,34],[7,15,20,30],[8,14,22,27],[9,13,19,33],[10,12,21,31]]; RG[25][6]:=Group([(2,3)(6,9)(7,8)(10,12)(11,15)(13,14),(1,4)(5,16)(6,7)(8,9)(10,11)(12,15),(1,2)(3,4)(5,14)(6,10)(7,12)(8,15)(9,11)(13,16)]); # Design 26: 1 resolution(s), autom. group order 8, decomposable D[26]:=[[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],[2,5,6,7],[2,5,13,15],[2,6,8,16],[2,7,9,10],[2,8,10,14],[2,9,12,15],[2,11,12,14],[2,11,13,16],[3,5,8,12],[3,5,11,15],[3,6,9,11],[3,6,12,14],[3,7,8,16],[3,7,13,14],[3,9,10,13],[3,10,15,16],[4,5,10,11],[4,5,13,14],[4,6,9,16],[4,6,14,15],[4,7,10,15],[4,7,12,16],[4,8,9,13],[4,8,11,12],[5,9,14,16],[5,10,12,16],[6,8,13,15],[6,10,12,13],[7,8,11,15],[7,9,11,14]]; G[26]:=Group([(5,16)(6,13)(7,11)(8,15)(9,14)(10,12),(3,4)(5,10,16,12)(6,14,13,9)(7,8,11,15),(1,2)(5,8,16,15)(6,14,13,9)(7,10,11,12)]); R[26]:=[]; RG[26]:=[]; # Design 26 / Resolution 1: autom. group order 8, decomposable R[26][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,22,31],[5,16,23,28],[6,15,20,29],[7,12,21,32],[8,13,24,27],[9,14,19,30],[10,11,25,34]]; RG[26][1]:=Group([(5,16)(6,13)(7,11)(8,15)(9,14)(10,12),(1,2)(5,8,16,15)(6,14,13,9)(7,10,11,12),(3,4)(5,10,16,12)(6,14,13,9)(7,8,11,15)]); # Design 27: 1 resolution(s), autom. group order 8 D[27]:=[[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],[2,7,13,15],[2,8,10,12],[2,8,14,15],[2,9,11,14],[2,9,13,16],[3,5,11,15],[3,5,12,16],[3,6,7,13],[3,6,8,14],[3,7,9,14],[3,8,9,13],[3,10,11,12],[3,10,15,16],[4,5,8,15],[4,5,9,16],[4,6,11,13],[4,6,14,16],[4,7,10,15],[4,7,12,14],[4,8,12,13],[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[27]:=Group([(5,10)(7,8)(11,16)(13,14),(5,13,10,14)(6,15)(7,16,8,11)(9,12),(2,4)(6,9)(7,8)(11,16)(12,15)]); R[27]:=[]; RG[27]:=[]; # Design 27 / Resolution 1: autom. group order 8 R[27][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,14,25,30],[5,18,19,32],[6,16,20,29],[7,13,23,27],[8,15,21,28],[9,11,24,31],[10,12,22,34]]; RG[27][1]:=Group([(5,10)(7,8)(11,16)(13,14),(5,14,10,13)(6,15)(7,11,8,16)(9,12),(2,4)(5,13,10,14)(6,12)(7,11,8,16)(9,15)]); # Design 28: 3 resolution(s), autom. group order 8, simple, decomposable D[28]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,8,9],[1,6,7,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,8,15],[2,5,6,16],[2,6,11,13],[2,7,8,11],[2,7,14,16],[2,9,10,12],[2,9,12,15],[2,10,13,14],[3,4,10,13],[3,5,11,14],[3,6,9,13],[3,6,12,16],[3,7,8,9],[3,7,15,16],[3,8,10,12],[3,11,14,15],[4,5,10,15],[4,5,12,14],[4,6,11,12],[4,7,9,14],[4,8,13,16],[4,9,11,16],[5,6,9,15],[5,7,10,11],[5,7,12,13],[5,8,13,16],[6,8,10,14],[6,8,14,15],[7,12,13,15],[9,10,11,16]]; G[28]:=Group([(1,3,14,6)(2,11,8,7)(4,5,15,10)(9,16,13,12),(1,9,14,13)(2,11,8,7)(3,16,6,12)(4,10,15,5)]); R[28]:=[]; RG[28]:=[]; # Design 28 / Resolution 1: autom. group order 8 R[28][1]:=[[1,35,38,40],[2,32,37,39],[3,16,26,36],[4,18,24,29],[5,17,20,31],[6,15,19,33],[7,14,22,27],[8,13,23,28],[9,12,25,30],[10,11,21,34]]; RG[28][1]:=Group([(1,6,14,3)(2,7,8,11)(4,10,15,5)(9,12,13,16),(1,16)(2,8)(3,13)(6,9)(7,11)(12,14)]); # Design 28 / Resolution 2: autom. group order 4 R[28][2]:=[[1,35,38,40],[2,32,37,39],[3,16,26,36],[4,18,24,29],[5,17,20,31],[6,15,19,33],[7,11,22,34],[8,14,21,28],[9,12,25,30],[10,13,23,27]]; RG[28][2]:=Group([(1,12)(3,9)(4,15)(5,10)(6,13)(14,16),(1,16)(2,8)(3,13)(6,9)(7,11)(12,14)]); # Design 28 / Resolution 3: autom. group order 8, decomposable R[28][3]:=[[1,35,38,40],[2,32,37,39],[3,16,26,36],[4,18,24,29],[5,17,20,31],[6,15,19,33],[7,11,22,34],[8,13,23,28],[9,12,25,30],[10,14,21,27]]; RG[28][3]:=Group([(1,3,14,6)(2,11,8,7)(4,5,15,10)(9,16,13,12),(1,12)(3,9)(4,15)(5,10)(6,13)(14,16)]); # Design 29: 3 resolution(s), autom. group order 8, simple D[29]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,10,11],[1,7,12,13],[1,8,10,14],[1,9,12,15],[1,11,13,16],[1,14,15,16],[2,3,8,12],[2,4,6,14],[2,5,10,13],[2,7,8,10],[2,7,15,16],[2,9,11,14],[2,9,13,15],[2,11,12,16],[3,4,7,16],[3,5,9,11],[3,6,9,12],[3,6,14,16],[3,8,13,15],[3,10,11,15],[3,10,13,14],[4,5,11,13],[4,5,14,15],[4,6,12,13],[4,7,8,11],[4,9,10,16],[4,10,12,15],[5,6,7,15],[5,8,9,16],[5,8,12,14],[5,10,12,16],[6,7,9,10],[6,8,11,15],[6,8,13,16],[7,9,13,14],[7,11,12,14]]; G[29]:=Group([(3,5)(4,6)(8,10)(9,11)(12,13)(15,16),(1,14)(2,7)(3,9)(4,13)(5,11)(6,12)(8,10)(15,16),(1,15)(2,8)(4,13)(5,11)(7,10)(14,16)]); R[29]:=[]; RG[29]:=[]; # Design 29 / Resolution 1: autom. group order 8 R[29][1]:=[[1,35,37,39],[2,23,30,40],[3,16,31,38],[4,18,25,32],[5,17,19,34],[6,12,24,33],[7,15,20,28],[8,13,22,29],[9,11,27,36],[10,14,21,26]]; RG[29][1]:=Group([(1,15)(2,8)(4,13)(5,11)(7,10)(14,16),(1,16)(2,10)(3,9)(6,12)(7,8)(14,15),(3,5)(4,6)(8,10)(9,11)(12,13)(15,16)]); # Design 29 / Resolution 2: autom. group order 8 R[29][2]:=[[1,35,37,39],[2,23,30,40],[3,16,31,38],[4,18,25,32],[5,17,19,34],[6,12,24,33],[7,15,21,26],[8,13,22,29],[9,11,27,36],[10,14,20,28]]; RG[29][2]:=Group([(1,15)(2,8)(4,13)(5,11)(7,10)(14,16),(1,16)(2,10)(3,9)(6,12)(7,8)(14,15),(3,5)(4,6)(8,10)(9,11)(12,13)(15,16)]); # Design 29 / Resolution 3: autom. group order 4 R[29][3]:=[[1,35,37,39],[2,23,30,40],[3,16,31,38],[4,18,25,32],[5,17,19,34],[6,12,24,33],[7,15,20,28],[8,14,22,26],[9,11,27,36],[10,13,21,29]]; RG[29][3]:=Group([(1,15)(2,8)(4,13)(5,11)(7,10)(14,16),(1,16)(2,10)(3,9)(6,12)(7,8)(14,15)]); # Design 30: 4 resolution(s), autom. group order 8, simple D[30]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,10,11],[1,7,8,12],[1,9,13,14],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,3,15,16],[2,4,6,13],[2,5,12,14],[2,7,9,14],[2,7,10,15],[2,8,9,11],[2,8,10,12],[2,11,13,16],[3,4,11,12],[3,5,9,13],[3,6,7,14],[3,6,8,11],[3,8,13,15],[3,9,10,12],[3,10,14,16],[4,5,10,13],[4,5,12,16],[4,6,7,15],[4,7,9,16],[4,8,10,14],[4,11,14,15],[5,6,8,16],[5,7,10,11],[5,8,14,15],[5,9,11,15],[6,9,10,16],[6,9,12,15],[6,12,13,14],[7,8,13,16],[7,11,12,13]]; G[30]:=Group([(1,2)(3,4)(5,6)(7,13)(8,16)(9,15)(10,14)(11,12),(1,7)(2,13)(3,12)(4,11)(5,8)(6,16)(9,10)(14,15),(1,9,13,14)(2,10,7,15)(3,12,11,4)(5,6,16,8)]); R[30]:=[]; RG[30]:=[]; # Design 30 / Resolution 1: autom. group order 8 R[30][1]:=[[1,34,36,40],[2,24,31,39],[3,18,30,37],[4,11,33,38],[5,13,23,29],[6,12,25,35],[7,15,22,27],[8,14,19,32],[9,17,20,28],[10,16,21,26]]; RG[30][1]:=Group([(1,13)(2,7)(3,11)(4,12)(5,16)(6,8)(9,14)(10,15),(1,14,13,9)(2,15,7,10)(3,4,11,12)(5,8,16,6),(1,15)(2,14)(3,11)(6,8)(7,9)(10,13)]); # Design 30 / Resolution 2: autom. group order 8 R[30][2]:=[[1,34,36,40],[2,24,31,39],[3,18,30,37],[4,11,33,38],[5,13,23,29],[6,12,25,35],[7,15,19,32],[8,14,22,27],[9,17,20,28],[10,16,21,26]]; RG[30][2]:=Group([(1,13)(2,7)(3,11)(4,12)(5,16)(6,8)(9,14)(10,15),(1,14,13,9)(2,15,7,10)(3,4,11,12)(5,8,16,6),(1,15)(2,14)(3,11)(6,8)(7,9)(10,13)]); # Design 30 / Resolution 3: autom. group order 8 R[30][3]:=[[1,34,36,40],[2,24,31,39],[3,18,30,37],[4,11,33,38],[5,14,23,27],[6,12,25,35],[7,15,19,32],[8,13,22,29],[9,17,20,28],[10,16,21,26]]; RG[30][3]:=Group([(1,10)(2,9)(4,12)(5,16)(7,14)(13,15),(1,15)(2,14)(3,11)(6,8)(7,9)(10,13),(1,14,13,9)(2,15,7,10)(3,4,11,12)(5,8,16,6)]); # Design 30 / Resolution 4: autom. group order 8 R[30][4]:=[[1,34,36,40],[2,24,31,39],[3,18,30,37],[4,11,33,38],[5,13,23,29],[6,12,25,35],[7,15,19,32],[8,16,21,27],[9,17,20,28],[10,14,22,26]]; RG[30][4]:=Group([(1,15)(2,14)(3,11)(6,8)(7,9)(10,13),(1,10)(2,9)(4,12)(5,16)(7,14)(13,15),(1,14,13,9)(2,15,7,10)(3,4,11,12)(5,8,16,6)]); # Design 31: 1 resolution(s), autom. group order 8 D[31]:=[[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],[2,5,8,10],[2,6,12,13],[2,6,12,14],[2,7,9,11],[2,8,9,16],[2,10,14,15],[2,11,13,15],[3,5,11,13],[3,5,14,16],[3,6,7,15],[3,6,8,15],[3,7,11,12],[3,8,10,12],[3,9,10,14],[3,9,13,16],[4,5,10,13],[4,5,11,14],[4,6,9,13],[4,6,9,14],[4,7,10,15],[4,7,12,16],[4,8,11,12],[4,8,15,16],[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[31]:=Group([(1,2)(3,4)(5,12)(7,14)(8,13)(9,15),(1,3)(2,4)(5,15)(7,8)(9,12)(13,14),(1,5)(2,9)(3,15)(4,12)(7,8)(11,16)]); R[31]:=[]; RG[31]:=[]; # Design 31 / Resolution 1: autom. group order 8 R[31][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,32],[5,14,19,34],[6,13,20,31],[7,16,21,28],[8,11,24,29],[9,15,22,27],[10,12,23,30]]; RG[31][1]:=Group([(1,4)(2,3)(5,9)(7,13)(8,14)(12,15),(1,3)(2,4)(5,15)(7,8)(9,12)(13,14),(1,5)(2,9)(3,15)(4,12)(7,8)(11,16)]); # Design 32: 1 resolution(s), autom. group order 8, decomposable D[32]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,11],[2,5,12,14],[2,6,8,10],[2,6,12,13],[2,7,9,15],[2,8,9,16],[2,10,14,15],[2,11,13,16],[3,5,8,16],[3,5,14,16],[3,6,7,15],[3,6,13,15],[3,7,11,12],[3,8,10,12],[3,9,10,14],[3,9,11,13],[4,5,9,13],[4,5,10,13],[4,6,9,14],[4,6,11,14],[4,7,10,16],[4,7,12,16],[4,8,11,15],[4,8,12,15],[5,9,12,15],[5,10,11,15],[6,9,12,16],[6,10,11,16],[7,8,13,14],[7,8,13,14]]; G[32]:=Group([(5,6)(7,8)(10,11)(13,14)(15,16),(5,15)(6,16)(7,14)(8,13)(9,12)(10,11),(1,3)(6,16)(7,14)(9,10)(11,12)]); R[32]:=[]; RG[32]:=[]; # Design 32 / Resolution 1: autom. group order 8, decomposable R[32][1]:=[[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],[8,16,21,28],[9,11,24,29],[10,13,23,27]]; RG[32][1]:=Group([(1,3)(6,16)(7,14)(9,10)(11,12),(5,6)(7,8)(10,11)(13,14)(15,16)]); # Design 33: 6 resolution(s), autom. group order 8, simple, decomposable D[33]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[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],[2,4,14,16],[2,5,7,11],[2,6,9,16],[2,6,12,13],[2,7,8,10],[2,8,13,14],[2,9,11,15],[2,10,12,15],[3,4,8,9],[3,5,15,16],[3,6,10,13],[3,6,11,16],[3,7,8,12],[3,7,13,15],[3,9,11,14],[3,10,12,14],[4,5,10,14],[4,5,12,15],[4,6,11,12],[4,7,13,16],[4,8,9,15],[4,10,11,13],[5,6,9,10],[5,7,11,14],[5,8,13,16],[5,9,12,13],[6,7,14,15],[6,8,14,15],[7,9,12,16],[8,10,11,16]]; G[33]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,6)(2,14)(3,15)(4,8)(5,7)(13,16),(1,9,6,11)(2,4,15,7)(3,8,14,5)(10,16,12,13)]); R[33]:=[]; RG[33]:=[]; # Design 33 / Resolution 1: autom. group order 8 R[33][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[33][1]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,11)(2,5)(3,7)(4,14)(6,9)(8,15)(10,16)(12,13)]); # Design 33 / Resolution 2: autom. group order 8, decomposable R[33][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[33][2]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,11)(2,5)(3,7)(4,14)(6,9)(8,15)(10,16)(12,13)]); # Design 33 / Resolution 3: autom. group order 4 R[33][3]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[33][3]:=Group([(1,11)(2,5)(3,7)(4,14)(6,9)(8,15)(10,16)(12,13),(1,9)(2,8)(3,4)(5,15)(6,11)(7,14)(10,13)(12,16)]); # Design 33 / Resolution 4: autom. group order 4 R[33][4]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[33][4]:=Group([(1,11)(2,5)(3,7)(4,14)(6,9)(8,15)(10,16)(12,13),(1,9)(2,8)(3,4)(5,15)(6,11)(7,14)(10,13)(12,16)]); # Design 33 / Resolution 5: autom. group order 8 R[33][5]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,13,24,27],[7,15,20,29],[8,14,19,34],[9,11,23,33],[10,12,21,31]]; RG[33][5]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,11)(2,5)(3,7)(4,14)(6,9)(8,15)(10,16)(12,13)]); # Design 33 / Resolution 6: autom. group order 8 R[33][6]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,13,24,27],[7,15,20,29],[8,14,19,34],[9,11,23,33],[10,12,21,31]]; RG[33][6]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,11)(2,5)(3,7)(4,14)(6,9)(8,15)(10,16)(12,13)]); # Design 34: 1 resolution(s), autom. group order 8, simple D[34]:=[[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],[1,9,12,16],[1,10,13,14],[1,11,15,16],[2,3,10,15],[2,4,7,16],[2,5,8,13],[2,6,7,12],[2,8,12,14],[2,9,10,16],[2,9,11,14],[2,11,13,15],[3,4,6,14],[3,5,11,14],[3,6,9,12],[3,7,15,16],[3,8,11,12],[3,8,13,16],[3,9,10,13],[4,5,9,13],[4,5,11,16],[4,6,8,15],[4,7,10,14],[4,10,11,12],[4,12,13,15],[5,6,9,15],[5,7,8,10],[5,10,12,15],[5,12,14,16],[6,7,11,13],[6,8,10,16],[6,13,14,16],[7,8,9,11],[7,9,14,15]]; G[34]:=Group([(1,5,16,8)(2,11,13,15)(3,14,6,4)(7,12,10,9),(1,7)(2,6)(3,13)(4,11)(5,12)(8,9)(10,16)(14,15)]); R[34]:=[]; RG[34]:=[]; # Design 34 / Resolution 1: autom. group order 8 R[34][1]:=[[1,34,38,39],[2,24,30,40],[3,17,31,37],[4,11,35,36],[5,15,22,26],[6,16,20,28],[7,14,25,27],[8,18,19,33],[9,12,23,32],[10,13,21,29]]; RG[34][1]:=Group([(1,16)(2,13)(3,6)(4,14)(5,8)(7,10)(9,12)(11,15),(1,5,16,8)(2,11,13,15)(3,14,6,4)(7,12,10,9),(1,12,16,9)(2,4,13,14)(3,15,6,11)(5,10,8,7)]); # Design 35: 1 resolution(s), autom. group order 8, decomposable D[35]:=[[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],[2,5,13,15],[2,6,8,12],[2,6,14,16],[2,7,9,16],[2,8,10,15],[2,9,12,13],[2,10,11,14],[3,5,9,11],[3,5,12,15],[3,6,7,13],[3,6,10,15],[3,7,12,14],[3,8,9,14],[3,8,13,16],[3,10,11,16],[4,5,8,14],[4,5,9,16],[4,6,10,12],[4,6,11,16],[4,7,10,13],[4,7,14,15],[4,8,11,13],[4,9,12,15],[5,10,12,16],[5,10,13,14],[6,9,11,15],[6,9,13,14],[7,8,11,15],[7,8,12,16]]; G[35]:=Group([(5,10)(6,9)(7,8)(11,15)(12,16)(13,14),(5,11,10,15)(6,12,9,16)(7,14,8,13),(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)]); R[35]:=[]; RG[35]:=[]; # Design 35 / Resolution 1: autom. group order 8, decomposable R[35][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,12,23,30],[7,15,22,27],[8,16,21,28],[9,11,24,29],[10,13,19,31]]; RG[35][1]:=Group([(5,10)(6,9)(7,8)(11,15)(12,16)(13,14),(5,15,10,11)(6,16,9,12)(7,13,8,14),(3,4)(5,12,10,16)(6,11,9,15)(7,13,8,14)]); # Design 36: 1 resolution(s), autom. group order 8 D[36]:=[[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],[1,10,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,12],[2,5,8,9],[2,6,10,14],[2,6,11,13],[2,7,10,15],[2,8,11,15],[2,9,14,16],[2,12,13,16],[3,5,13,15],[3,5,14,15],[3,6,7,16],[3,6,8,16],[3,7,11,12],[3,8,9,10],[3,9,11,14],[3,10,12,13],[4,5,9,13],[4,5,12,14],[4,6,10,13],[4,6,11,14],[4,7,9,16],[4,7,11,15],[4,8,10,15],[4,8,12,16],[5,10,11,16],[5,10,11,16],[6,9,12,15],[6,9,12,15],[7,8,13,14],[7,8,13,14]]; G[36]:=Group([(7,8)(9,12)(10,11)(13,14),(5,16)(6,15)(7,13)(8,14)(10,11),(1,3)(2,4)(6,15)(7,13)(8,14)(9,12)]); R[36]:=[]; RG[36]:=[]; # Design 36 / Resolution 1: autom. group order 8 R[36][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],[9,11,24,30],[10,12,23,29]]; RG[36][1]:=Group([(1,3)(2,4)(5,16)(9,12)(10,11),(5,16)(6,15)(7,14)(8,13)(9,12),(7,8)(9,12)(10,11)(13,14)]); # Design 37: 1 resolution(s), autom. group order 8 D[37]:=[[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],[2,6,13,15],[2,7,9,12],[2,7,10,14],[2,9,13,16],[2,10,15,16],[3,5,12,14],[3,5,13,15],[3,6,8,16],[3,6,8,16],[3,7,9,13],[3,7,10,15],[3,9,11,12],[3,10,11,14],[4,5,9,15],[4,5,10,13],[4,6,9,14],[4,6,10,12],[4,7,11,16],[4,7,11,16],[4,8,12,15],[4,8,13,14],[5,9,14,16],[5,10,12,16],[6,9,11,15],[6,10,11,13],[7,8,12,15],[7,8,13,14]]; G[37]:=Group([(9,10)(12,14)(13,15),(2,3)(5,6)(11,16)(12,13)(14,15),(2,5)(3,6)(4,7)(12,15)(13,14)]); R[37]:=[]; RG[37]:=[]; # Design 37 / Resolution 1: autom. group order 8 R[37][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],[7,16,21,27],[8,15,22,28],[9,11,24,29],[10,12,23,30]]; RG[37][1]:=Group([(9,10)(12,14)(13,15),(2,5)(3,6)(4,7)(12,15)(13,14),(2,3)(5,6)(11,16)(12,13)(14,15)]); # Design 38: 1 resolution(s), autom. group order 8 D[38]:=[[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],[2,5,7,14],[2,5,9,13],[2,6,8,15],[2,6,11,13],[2,7,10,12],[2,8,10,12],[2,9,15,16],[2,11,14,16],[3,5,8,14],[3,5,12,16],[3,6,7,15],[3,6,10,16],[3,7,9,11],[3,8,9,11],[3,10,13,14],[3,12,13,15],[4,5,10,13],[4,5,11,16],[4,6,9,16],[4,6,12,13],[4,7,11,12],[4,7,14,15],[4,8,9,10],[4,8,14,15],[5,9,12,15],[5,10,11,15],[6,9,12,14],[6,10,11,14],[7,8,13,16],[7,8,13,16]]; G[38]:=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)(9,11)(10,12)(13,16)]); R[38]:=[]; RG[38]:=[]; # Design 38 / Resolution 1: autom. group order 8 R[38][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,16,21,28],[8,11,24,30],[9,15,19,29],[10,13,23,27]]; RG[38][1]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,14)(6,15)(9,11)(10,12)(13,16),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 39: 1 resolution(s), autom. group order 8 D[39]:=[[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],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,5,7,14],[2,5,8,14],[2,6,9,16],[2,6,11,13],[2,7,11,12],[2,8,9,10],[2,10,15,16],[2,12,13,15],[3,5,10,13],[3,5,12,16],[3,6,7,15],[3,6,8,15],[3,7,9,12],[3,8,10,11],[3,9,14,16],[3,11,13,14],[4,5,10,16],[4,5,12,13],[4,6,9,13],[4,6,11,16],[4,7,10,11],[4,7,14,15],[4,8,9,12],[4,8,14,15],[5,9,11,15],[5,9,11,15],[6,10,12,14],[6,10,12,14],[7,8,13,16],[7,8,13,16]]; G[39]:=Group([(7,8)(9,11)(10,12)(13,16),(1,2)(3,4)(6,14)(9,11)(10,12),(1,3)(2,4)(5,15)(10,12)(13,16)]); R[39]:=[]; RG[39]:=[]; # Design 39 / Resolution 1: autom. group order 8 R[39][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,31],[5,14,20,34],[6,13,19,32],[7,15,22,27],[8,12,23,30],[9,16,21,28],[10,11,24,29]]; RG[39][1]:=Group([(7,8)(9,11)(10,12)(13,16),(1,3)(2,4)(5,15)(10,12)(13,16),(1,4)(2,3)(5,15)(6,14)(9,11)(13,16)]); # Design 40: 6 resolution(s), autom. group order 8, simple, decomposable D[40]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,11],[1,10,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,4,8,10],[2,5,11,15],[2,6,8,16],[2,6,9,15],[2,7,10,12],[2,7,12,14],[2,9,13,14],[2,11,13,16],[3,4,13,15],[3,5,8,14],[3,6,11,12],[3,6,12,13],[3,7,8,16],[3,7,9,15],[3,9,10,14],[3,10,11,16],[4,5,10,13],[4,5,11,14],[4,6,9,11],[4,7,14,16],[4,8,12,15],[4,9,12,16],[5,6,10,16],[5,7,9,13],[5,8,12,15],[5,9,12,16],[6,8,13,14],[6,10,14,15],[7,8,11,13],[7,10,11,15]]; G[40]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(2,6)(3,7)(8,9)(10,11)(13,14)(15,16),(1,12)(2,8)(3,15)(6,16)(7,9)(11,14)]); R[40]:=[]; RG[40]:=[]; # Design 40 / Resolution 1: autom. group order 8, decomposable R[40][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,14,23,28],[8,13,24,27],[9,15,20,29],[10,11,21,34]]; RG[40][1]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(2,7)(3,6)(8,16)(9,15)(10,14)(11,13),(1,12)(2,16,3,9)(6,8,7,15)(10,14,13,11)]); # Design 40 / Resolution 2: autom. group order 4 R[40][2]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,14,23,28],[8,13,24,27],[9,15,20,29],[10,11,21,34]]; RG[40][2]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(1,12)(2,9,3,16)(6,15,7,8)(10,11,13,14)]); # Design 40 / Resolution 3: autom. group order 8 R[40][3]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,13,24,28],[8,14,23,27],[9,15,20,29],[10,11,21,34]]; RG[40][3]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(2,7)(3,6)(8,16)(9,15)(10,14)(11,13),(1,12)(2,16,3,9)(6,8,7,15)(10,14,13,11)]); # Design 40 / Resolution 4: autom. group order 4 R[40][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,13,24,28],[8,14,23,27],[9,15,20,29],[10,11,21,34]]; RG[40][4]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(1,12)(2,9,3,16)(6,15,7,8)(10,11,13,14)]); # Design 40 / Resolution 5: autom. group order 8 R[40][5]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,16,19,33],[7,14,23,28],[8,13,24,27],[9,15,20,29],[10,11,21,34]]; RG[40][5]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(1,12)(2,9,3,16)(6,15,7,8)(10,11,13,14),(1,12)(2,15)(3,8)(6,9)(7,16)(10,13)]); # Design 40 / Resolution 6: autom. group order 8 R[40][6]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,16,19,33],[7,13,24,28],[8,14,23,27],[9,15,20,29],[10,11,21,34]]; RG[40][6]:=Group([(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(1,12)(2,9,3,16)(6,15,7,8)(10,11,13,14),(1,12)(2,15)(3,8)(6,9)(7,16)(10,13)]); # Design 41: 1 resolution(s), autom. group order 8, simple, decomposable D[41]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,12,13],[1,8,9,14],[1,10,15,16],[1,11,12,15],[1,13,14,16],[2,3,11,13],[2,4,7,15],[2,5,9,13],[2,6,14,16],[2,7,10,12],[2,8,10,14],[2,8,11,15],[2,9,12,16],[3,4,5,16],[3,5,6,15],[3,6,10,12],[3,7,9,16],[3,8,10,13],[3,9,14,15],[3,11,12,14],[4,5,10,14],[4,6,7,8],[4,6,11,14],[4,8,12,13],[4,9,12,15],[4,11,13,16],[5,7,12,14],[5,8,9,11],[5,8,12,16],[5,10,13,15],[6,7,9,13],[6,8,15,16],[6,9,10,11],[7,10,11,16],[7,13,14,15]]; G[41]:=Group([(1,3,12,16)(2,14,8,10)(4,11,5,15)(6,9,13,7),(1,4,12,5)(2,9,8,7)(3,15,16,11)(6,10,13,14)]); R[41]:=[]; RG[41]:=[]; # Design 41 / Resolution 1: autom. group order 8, decomposable R[41][1]:=[[1,34,38,40],[2,24,29,39],[3,18,28,35],[4,11,32,37],[5,14,23,30],[6,17,22,26],[7,15,20,31],[8,13,25,27],[9,16,19,36],[10,12,21,33]]; RG[41][1]:=Group([(1,12)(2,8)(3,16)(4,5)(6,13)(7,9)(10,14)(11,15),(1,11,12,15)(2,13,8,6)(3,4,16,5)(7,14,9,10),(1,16,12,3)(2,10,8,14)(4,15,5,11)(6,7,13,9)]); # Design 42: 3 resolution(s), autom. group order 8, decomposable D[42]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,15,16],[1,12,13,14],[2,5,7,15],[2,5,9,16],[2,6,8,13],[2,6,11,14],[2,7,10,11],[2,8,9,12],[2,10,13,16],[2,12,14,15],[3,5,8,15],[3,5,12,16],[3,6,7,13],[3,6,10,14],[3,7,9,12],[3,8,10,11],[3,9,14,15],[3,11,13,16],[4,5,10,14],[4,5,11,14],[4,6,9,16],[4,6,12,16],[4,7,11,12],[4,7,13,15],[4,8,9,10],[4,8,13,15],[5,9,11,13],[5,10,12,13],[6,9,11,15],[6,10,12,15],[7,8,14,16],[7,8,14,16]]; G[42]:=Group([(5,6)(7,8)(9,11)(10,12)(13,15)(14,16),(2,3)(7,8)(9,12)(10,11),(1,4)(5,13)(6,15)(7,8)(9,10)(11,12)]); R[42]:=[]; RG[42]:=[]; # Design 42 / Resolution 1: autom. group order 8, decomposable R[42][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[42][1]:=Group([(5,6)(7,8)(9,11)(10,12)(13,15)(14,16),(2,3)(7,8)(9,12)(10,11),(1,4)(5,13)(6,15)(7,8)(9,10)(11,12)]); # Design 42 / Resolution 2: autom. group order 4 R[42][2]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,15,19,30],[8,16,21,28],[9,13,23,27],[10,11,24,29]]; RG[42][2]:=Group([(2,3)(7,8)(9,12)(10,11),(1,4)(5,15)(6,13)(9,12)(10,11)(14,16)]); # Design 42 / Resolution 3: autom. group order 8 R[42][3]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,11,24,30],[8,16,21,28],[9,13,23,27],[10,15,19,29]]; RG[42][3]:=Group([(5,6)(7,8)(9,11)(10,12)(13,15)(14,16),(2,3)(7,8)(9,12)(10,11),(1,4)(5,13)(6,15)(7,8)(9,10)(11,12)]); # Design 43: 2 resolution(s), autom. group order 8 D[43]:=[[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],[2,9,11,13],[2,10,12,13],[3,5,8,10],[3,5,13,14],[3,6,7,12],[3,6,13,15],[3,7,11,14],[3,8,9,15],[3,9,11,16],[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],[5,9,12,15],[5,10,11,15],[6,9,12,14],[6,10,11,14],[7,8,13,16],[7,8,13,16]]; G[43]:=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)]); R[43]:=[]; RG[43]:=[]; # Design 43 / Resolution 1: autom. group order 4 R[43][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[43][1]:=Group([(1,4)(5,15)(6,14)(9,10)(11,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 43 / Resolution 2: autom. group order 4 R[43][2]:=[[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[43][2]:=Group([(1,4)(5,15)(6,14)(9,10)(11,12),(1,4)(2,3)(5,14)(6,15)(13,16)]); # Design 44: 1 resolution(s), autom. group order 8 D[44]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,10,11],[1,7,10,12],[1,8,12,13],[1,9,14,15],[1,11,14,16],[1,13,15,16],[2,5,6,16],[2,5,7,13],[2,6,8,15],[2,7,11,14],[2,8,12,16],[2,9,10,11],[2,9,12,14],[2,10,13,15],[3,5,9,10],[3,5,13,14],[3,6,7,15],[3,6,9,12],[3,7,11,16],[3,8,11,13],[3,8,14,15],[3,10,12,16],[4,5,8,10],[4,5,14,16],[4,6,8,11],[4,6,12,14],[4,7,9,15],[4,7,12,13],[4,9,11,13],[4,10,15,16],[5,11,12,15],[5,11,12,15],[6,9,13,16],[6,10,13,14],[7,8,9,16],[7,8,10,14]]; G[44]:=Group([(1,2,3,4)(5,15,11,12)(6,8,13,7)(9,10,16,14),(1,5,3,11)(2,12,4,15)(6,9,13,16)(7,10,8,14)]); R[44]:=[]; RG[44]:=[]; # Design 44 / Resolution 1: autom. group order 8 R[44][1]:=[[1,35,37,40],[2,36,38,39],[3,17,24,34],[4,18,23,30],[5,15,20,31],[6,11,25,33],[7,16,21,28],[8,12,26,29],[9,13,19,32],[10,14,22,27]]; RG[44][1]:=Group([(1,3)(2,4)(5,11)(6,13)(7,8)(9,16)(10,14)(12,15),(1,2,3,4)(5,15,11,12)(6,8,13,7)(9,10,16,14),(1,12,3,15)(2,11,4,5)(6,14,13,10)(7,9,8,16)]); # Design 45: 1 resolution(s), autom. group order 8 D[45]:=[[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],[2,5,7,13],[2,5,9,15],[2,6,9,11],[2,6,12,16],[2,7,8,11],[2,8,14,16],[2,10,12,15],[2,10,13,14],[3,5,8,14],[3,5,12,15],[3,6,9,16],[3,6,10,12],[3,7,8,10],[3,7,13,16],[3,9,11,15],[3,11,13,14],[4,5,9,14],[4,5,12,13],[4,6,10,14],[4,6,11,13],[4,7,11,15],[4,7,12,16],[4,8,9,16],[4,8,10,15],[5,10,11,16],[5,10,11,16],[6,7,14,15],[6,8,13,15],[7,9,12,14],[8,9,12,13]]; G[45]:=Group([(5,10,16,11)(6,9,15,12)(7,13,14,8),(2,3)(7,8)(9,12)(10,11)(13,14)]); R[45]:=[]; RG[45]:=[]; # Design 45 / Resolution 1: autom. group order 8 R[45][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,14,19,31],[8,11,21,34],[9,15,22,27],[10,13,23,28]]; RG[45][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(5,10,16,11)(6,9,15,12)(7,13,14,8),(2,3)(7,8)(9,12)(10,11)(13,14)]); # Design 46: 1 resolution(s), autom. group order 8 D[46]:=[[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],[2,5,9,14],[2,6,8,16],[2,6,10,14],[2,7,10,11],[2,8,12,15],[2,9,12,13],[2,11,13,16],[3,5,11,13],[3,5,11,14],[3,6,7,12],[3,6,12,13],[3,7,9,16],[3,8,9,16],[3,8,10,15],[3,10,14,15],[4,5,8,9],[4,5,13,15],[4,6,10,13],[4,6,14,16],[4,7,11,16],[4,7,12,15],[4,8,10,11],[4,9,12,14],[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[46]:=Group([(5,10)(6,9)(8,13)(11,15)(12,16),(2,4)(5,12)(6,11)(7,14)(9,15)(10,16),(1,3)(6,11)(7,14)(8,13)(9,15)]); R[46]:=[]; RG[46]:=[]; # Design 46 / Resolution 1: autom. group order 8 R[46][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,31],[5,16,19,30],[6,14,23,28],[7,13,20,32],[8,11,24,29],[9,12,21,33],[10,15,22,27]]; RG[46][1]:=Group([(1,3)(6,11)(7,14)(8,13)(9,15),(1,3)(5,10)(6,15)(7,14)(9,11)(12,16),(1,3)(2,4)(5,12)(8,13)(10,16)]); # Design 47: 1 resolution(s), autom. group order 8 D[47]:=[[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],[2,6,14,16],[2,7,9,15],[2,8,9,11],[2,10,12,14],[2,10,13,16],[3,5,10,13],[3,5,14,15],[3,6,7,12],[3,6,9,13],[3,7,10,16],[3,8,11,16],[3,8,12,15],[3,9,11,14],[4,5,10,14],[4,5,11,13],[4,6,8,16],[4,6,9,14],[4,7,11,16],[4,7,12,15],[4,8,10,12],[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[47]:=Group([(5,9)(6,10)(11,15)(12,16),(5,12,9,16)(6,11,10,15)(7,14)(8,13),(3,4)(7,8)(11,15)(12,16)(13,14)]); R[47]:=[]; RG[47]:=[]; # Design 47 / Resolution 1: autom. group order 8 R[47][1]:=[[1,35,37,39],[2,36,38,40],[3,17,24,34],[4,18,26,32],[5,14,25,28],[6,13,20,31],[7,12,23,30],[8,15,19,29],[9,16,21,27],[10,11,22,33]]; RG[47][1]:=Group([(3,4)(7,8)(11,15)(12,16)(13,14),(3,4)(5,9)(6,10)(7,8)(13,14),(3,4)(5,12)(6,11)(7,13)(8,14)(9,16)(10,15)]); # Design 48: 1 resolution(s), autom. group order 8 D[48]:=[[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],[2,5,7,16],[2,5,8,16],[2,6,9,14],[2,6,11,15],[2,7,9,12],[2,8,10,11],[2,10,13,14],[2,12,13,15],[3,5,10,15],[3,5,12,14],[3,6,7,13],[3,6,8,13],[3,7,10,11],[3,8,9,12],[3,9,15,16],[3,11,14,16],[4,5,9,15],[4,5,11,14],[4,6,10,14],[4,6,12,15],[4,7,11,12],[4,7,13,16],[4,8,9,10],[4,8,13,16],[5,9,11,13],[5,10,12,13],[6,9,11,16],[6,10,12,16],[7,8,14,15],[7,8,14,15]]; G[48]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,4)(5,16)(6,13)(9,12)(10,11)(14,15)]); R[48]:=[]; RG[48]:=[]; # Design 48 / Resolution 1: autom. group order 8 R[48][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,13,19,32],[7,12,23,30],[8,15,22,28],[9,11,24,29],[10,16,21,27]]; RG[48][1]:=Group([(1,4)(2,3)(5,13)(6,16)(9,11)(10,12),(2,3)(5,6)(7,8)(9,12)(10,11)(13,16),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 49: 2 resolution(s), autom. group order 8, simple D[49]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,4,13,14],[2,5,7,11],[2,6,9,15],[2,6,10,14],[2,7,8,12],[2,8,13,15],[2,9,11,16],[2,10,12,16],[3,4,8,9],[3,5,14,16],[3,6,11,15],[3,6,12,14],[3,7,8,10],[3,7,15,16],[3,9,11,13],[3,10,12,13],[4,5,10,16],[4,5,12,13],[4,6,11,12],[4,7,14,15],[4,8,9,16],[4,10,11,15],[5,6,9,10],[5,7,11,13],[5,8,14,15],[5,9,12,15],[6,7,13,16],[6,8,13,16],[7,9,12,14],[8,10,11,14]]; G[49]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,6)(2,13)(3,16)(4,8)(5,7)(14,15),(1,9,6,11)(2,4,16,7)(3,8,13,5)(10,15,12,14)]); R[49]:=[]; RG[49]:=[]; # Design 49 / Resolution 1: autom. group order 8 R[49][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,21,27],[8,12,22,31],[9,13,23,28],[10,14,19,34]]; RG[49][1]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,9,6,11)(2,4,16,7)(3,8,13,5)(10,15,12,14)]); # Design 49 / Resolution 2: autom. group order 8 R[49][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,15,21,27],[8,12,22,31],[9,13,23,28],[10,14,19,34]]; RG[49][2]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,9,6,11)(2,4,16,7)(3,8,13,5)(10,15,12,14)]); # Design 50: 2 resolution(s), autom. group order 8, simple D[50]:=[[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],[2,4,14,16],[2,5,11,16],[2,6,12,15],[2,7,8,13],[2,7,9,12],[2,9,10,14],[2,10,11,13],[3,4,6,11],[3,5,12,16],[3,6,8,10],[3,7,11,14],[3,9,13,14],[3,9,15,16],[3,10,12,13],[4,5,8,13],[4,5,12,14],[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],[5,9,11,15],[6,7,14,15],[6,8,12,16],[6,13,14,16],[7,8,11,16],[8,9,11,12]]; G[50]:=Group([(1,5,8,16)(2,14,11,15)(3,4,12,9)(6,10,7,13),(1,6)(2,11)(5,10)(7,8)(13,16)(14,15)]); R[50]:=[]; RG[50]:=[]; # Design 50 / Resolution 1: autom. group order 8 R[50][1]:=[[1,33,38,40],[2,23,30,39],[3,17,31,37],[4,18,20,36],[5,15,24,27],[6,12,21,35],[7,13,25,28],[8,14,22,26],[9,11,29,32],[10,16,19,34]]; RG[50][1]:=Group([(1,6)(2,11)(5,10)(7,8)(13,16)(14,15),(1,8)(2,11)(3,12)(4,9)(5,16)(6,7)(10,13)(14,15),(1,16,8,5)(2,15,11,14)(3,9,12,4)(6,13,7,10)]); # Design 50 / Resolution 2: autom. group order 8 R[50][2]:=[[1,33,38,40],[2,23,30,39],[3,17,31,37],[4,13,25,36],[5,15,24,27],[6,12,21,35],[7,18,20,28],[8,14,22,26],[9,11,29,32],[10,16,19,34]]; RG[50][2]:=Group([(1,6)(2,11)(5,10)(7,8)(13,16)(14,15),(1,8)(2,11)(3,12)(4,9)(5,16)(6,7)(10,13)(14,15),(1,16,8,5)(2,15,11,14)(3,9,12,4)(6,13,7,10)]); # Design 51: 1 resolution(s), autom. group order 8, simple D[51]:=[[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],[1,9,15,16],[1,10,13,15],[1,11,14,16],[2,3,10,15],[2,4,10,16],[2,5,8,13],[2,6,7,11],[2,7,9,16],[2,8,12,15],[2,9,12,14],[2,11,13,14],[3,4,6,12],[3,5,11,12],[3,6,9,15],[3,7,14,16],[3,8,9,11],[3,8,13,16],[3,10,13,14],[4,5,9,13],[4,5,11,16],[4,6,8,14],[4,7,10,12],[4,7,14,15],[4,11,13,15],[5,6,14,15],[5,7,8,10],[5,9,10,14],[5,12,15,16],[6,7,9,13],[6,8,10,16],[6,12,13,16],[7,8,11,15],[9,10,11,12]]; G[51]:=Group([(1,5,16,8)(2,11,13,14)(3,12,6,4)(7,15,10,9),(1,7,16,10)(2,6,13,3)(4,11,12,14)(5,9,8,15)]); R[51]:=[]; RG[51]:=[]; # Design 51 / Resolution 1: autom. group order 8 R[51][1]:=[[1,34,38,39],[2,24,30,40],[3,17,31,37],[4,14,25,35],[5,16,22,26],[6,12,23,32],[7,11,27,36],[8,18,19,33],[9,15,20,28],[10,13,21,29]]; RG[51][1]:=Group([(1,16)(2,13)(3,6)(4,12)(5,8)(7,10)(9,15)(11,14),(1,9,16,15)(2,12,13,4)(3,14,6,11)(5,10,8,7),(1,5,16,8)(2,11,13,14)(3,12,6,4)(7,15,10,9)]); # Design 52: 1 resolution(s), autom. group order 8 D[52]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,13],[2,5,8,14],[2,6,9,15],[2,6,12,13],[2,7,9,14],[2,7,12,15],[2,10,11,16],[2,10,11,16],[3,5,10,15],[3,5,11,13],[3,6,8,16],[3,6,9,10],[3,7,9,11],[3,7,14,16],[3,8,12,15],[3,12,13,14],[4,5,10,14],[4,5,11,15],[4,6,10,12],[4,6,13,16],[4,7,8,16],[4,7,11,12],[4,8,9,15],[4,9,13,14],[5,9,12,16],[5,9,12,16],[6,8,11,14],[6,11,14,15],[7,8,10,13],[7,10,13,15]]; G[52]:=Group([(3,4)(6,7)(9,12)(10,11)(13,14),(1,2)(5,16)(6,10)(7,11)(8,15)(13,14),(1,5)(2,16)(3,9)(4,12)(8,15)]); R[52]:=[]; RG[52]:=[]; # Design 52 / Resolution 1: autom. group order 4 R[52][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,14,24,28],[6,15,19,30],[7,16,21,27],[8,13,20,31],[9,12,23,29],[10,11,22,32]]; RG[52][1]:=Group([(1,2)(5,16)(6,10)(7,11)(8,15)(13,14),(1,5)(2,16)(3,12)(4,9)(6,7)(8,15)(10,11)(13,14)]); # Design 53: 2 resolution(s), autom. group order 8, simple D[53]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,4,13,15],[2,5,7,11],[2,6,9,14],[2,6,10,15],[2,7,8,12],[2,8,13,14],[2,9,12,16],[2,10,11,16],[3,4,8,9],[3,5,15,16],[3,6,11,14],[3,6,12,15],[3,7,8,10],[3,7,14,16],[3,9,12,13],[3,10,11,13],[4,5,9,16],[4,5,11,13],[4,6,11,12],[4,7,14,15],[4,8,10,16],[4,10,12,14],[5,6,9,10],[5,7,12,13],[5,8,14,15],[5,10,12,14],[6,7,13,16],[6,8,13,16],[7,9,11,15],[8,9,11,15]]; G[53]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,6)(2,13)(3,16)(4,8)(5,7)(9,10)(11,12)(14,15),(1,14)(2,10)(3,12)(4,5)(6,15)(7,8)(9,13)(11,16)]); R[53]:=[]; RG[53]:=[]; # Design 53 / Resolution 1: autom. group order 4 R[53][1]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,15,21,27],[9,14,19,34],[10,13,23,28]]; RG[53][1]:=Group([(1,14)(2,10)(3,12)(4,5)(6,15)(7,8)(9,13)(11,16),(1,6)(2,16)(3,13)(4,7)(5,8)(9,12)(10,11)(14,15)]); # Design 53 / Resolution 2: autom. group order 4 R[53][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,15,21,27],[9,14,19,34],[10,13,23,28]]; RG[53][2]:=Group([(1,14)(2,10)(3,12)(4,5)(6,15)(7,8)(9,13)(11,16),(1,6)(2,16)(3,13)(4,7)(5,8)(9,12)(10,11)(14,15)]); # Design 54: 1 resolution(s), autom. group order 8 D[54]:=[[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],[2,6,13,16],[2,7,9,13],[2,8,10,12],[2,9,10,11],[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],[4,6,10,16],[4,7,9,15],[4,7,10,14],[4,8,12,13],[4,11,13,14],[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[54]:=Group([(5,15)(6,12)(7,11)(8,16)(10,13),(1,2)(3,4)(7,8)(9,14)(10,13)(11,16),(1,3)(2,4)(6,12)(7,11)(8,16)(9,14)]); 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],[4,18,22,32],[5,14,25,28],[6,16,20,29],[7,13,19,31],[8,11,23,34],[9,12,24,30],[10,15,21,27]]; RG[54][1]:=Group([(5,15)(6,12)(7,11)(8,16)(10,13),(1,4)(2,3)(5,15)(7,8)(11,16),(1,2)(3,4)(7,8)(9,14)(10,13)(11,16)]); # Design 55: 1 resolution(s), autom. group order 8 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],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,11],[2,5,9,13],[2,6,8,10],[2,6,14,15],[2,7,10,16],[2,8,11,15],[2,9,12,14],[2,12,13,16],[3,5,8,16],[3,5,14,16],[3,6,7,12],[3,6,13,15],[3,7,9,15],[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],[4,7,11,12],[4,7,15,16],[4,8,9,15],[4,8,10,16],[5,10,12,15],[5,10,12,15],[6,9,11,16],[6,9,11,16],[7,8,13,14],[7,8,13,14]]; G[55]:=Group([(5,10)(6,9)(8,13)(11,16)(12,15),(1,3)(2,4)(6,16)(7,14)(9,11),(1,5)(2,12)(3,10)(4,15)(7,8)(9,16)(13,14)]); R[55]:=[]; RG[55]:=[]; # Design 55 / Resolution 1: autom. group order 8 R[55][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],[9,13,23,28],[10,11,24,29]]; RG[55][1]:=Group([(5,10)(6,9)(8,13)(11,16)(12,15),(1,3)(2,4)(6,16)(7,14)(9,11),(1,5)(2,12)(3,10)(4,15)(7,8)(9,16)(13,14)]); # Design 56: 1 resolution(s), autom. group order 8 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],[1,9,11,13],[1,10,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,15],[2,5,9,14],[2,6,8,16],[2,6,10,14],[2,7,11,12],[2,8,11,15],[2,9,10,13],[2,12,13,16],[3,5,12,13],[3,5,12,14],[3,6,7,11],[3,6,10,13],[3,7,9,16],[3,8,9,16],[3,8,10,15],[3,11,14,15],[4,5,8,9],[4,5,13,15],[4,6,11,13],[4,6,14,16],[4,7,10,15],[4,7,12,16],[4,8,10,12],[4,9,11,14],[5,10,11,16],[5,10,11,16],[6,9,12,15],[6,9,12,15],[7,8,13,14],[7,8,13,14]]; G[56]:=Group([(2,4)(5,16)(6,15)(7,14)(8,13)(9,12),(1,3)(6,12)(7,14)(8,13)(9,15)(10,11),(1,5,3,16)(2,10,4,11)(6,12,9,15)(7,13)(8,14)]); R[56]:=[]; RG[56]:=[]; # Design 56 / Resolution 1: autom. group order 8 R[56][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,16,19,30],[6,14,23,28],[7,13,20,31],[8,11,24,29],[9,12,21,33],[10,15,22,27]]; RG[56][1]:=Group([(1,5)(2,11)(3,16)(4,10)(7,8)(12,15)(13,14),(2,4)(5,16)(6,15)(7,14)(8,13)(9,12)]); # Design 57: 3 resolution(s), autom. group order 8, simple D[57]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,8,10],[1,7,11,12],[1,9,13,14],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,3,10,14],[2,4,12,14],[2,5,8,11],[2,6,7,13],[2,7,9,12],[2,8,15,16],[2,9,10,15],[2,11,13,16],[3,4,6,16],[3,5,12,15],[3,6,8,13],[3,7,10,16],[3,8,9,12],[3,9,11,14],[3,11,13,15],[4,5,10,11],[4,5,14,16],[4,6,12,15],[4,7,8,11],[4,7,13,15],[4,9,10,13],[5,6,9,15],[5,7,9,16],[5,8,13,14],[5,10,12,13],[6,7,10,14],[6,9,11,16],[6,11,12,14],[7,8,14,15],[8,10,12,16]]; G[57]:=Group([(1,2,11,9)(3,8,6,13)(4,5,16,14)(7,15,12,10),(1,7,11,12)(2,15,9,10)(3,8,6,13)(4,14,16,5)]); R[57]:=[]; RG[57]:=[]; # Design 57 / Resolution 1: autom. group order 4 R[57][1]:=[[1,35,37,39],[2,24,30,40],[3,16,31,38],[4,18,20,36],[5,15,25,27],[6,17,19,34],[7,13,22,28],[8,12,21,33],[9,11,29,32],[10,14,23,26]]; RG[57][1]:=Group([(1,10)(2,7)(4,16)(5,14)(9,12)(11,15),(1,15)(2,12)(3,6)(7,9)(8,13)(10,11)]); # Design 57 / Resolution 2: autom. group order 8 R[57][2]:=[[1,35,37,39],[2,24,30,40],[3,16,31,38],[4,18,20,36],[5,12,25,33],[6,17,21,27],[7,13,22,28],[8,15,19,34],[9,11,29,32],[10,14,23,26]]; RG[57][2]:=Group([(1,11)(2,9)(3,6)(4,16)(5,14)(7,12)(8,13)(10,15),(1,12,11,7)(2,10,9,15)(3,13,6,8)(4,5,16,14),(1,15)(2,12)(3,6)(7,9)(8,13)(10,11)]); # Design 57 / Resolution 3: autom. group order 8 R[57][3]:=[[1,35,37,39],[2,24,30,40],[3,16,31,38],[4,18,20,36],[5,12,25,33],[6,17,19,34],[7,13,22,28],[8,15,21,27],[9,11,29,32],[10,14,23,26]]; RG[57][3]:=Group([(1,10)(2,7)(4,16)(5,14)(9,12)(11,15),(1,9,11,2)(3,13,6,8)(4,14,16,5)(7,10,12,15)]); # Design 58: 1 resolution(s), autom. group order 8 D[58]:=[[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],[3,5,10,13],[3,6,8,14],[3,6,11,13],[3,7,10,11],[3,7,14,16],[3,9,12,15],[3,9,12,15],[4,5,12,13],[4,5,15,16],[4,6,9,13],[4,6,14,15],[4,7,9,11],[4,7,10,12],[4,8,10,14],[4,8,11,16],[5,9,11,14],[5,11,12,14],[6,9,10,16],[6,10,12,16],[7,8,13,15],[7,8,13,15]]; G[58]:=Group([(5,6)(9,12)(10,11)(14,16),(2,4)(8,13)(9,12)(10,16)(11,14),(1,7)(2,8)(3,15)(4,13)(10,16)(11,14)]); R[58]:=[]; RG[58]:=[]; # Design 58 / Resolution 1: autom. group order 4 R[58][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,16,22,28],[6,12,24,29],[7,14,19,32],[8,15,21,27],[9,11,23,30],[10,13,20,31]]; RG[58][1]:=Group([(2,4)(5,6)(8,13)(10,14)(11,16),(1,7)(2,13)(3,15)(4,8)(9,12)]); # Design 59: 1 resolution(s), autom. group order 8 D[59]:=[[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],[2,5,8,16],[2,5,8,16],[2,6,9,15],[2,6,9,15],[2,7,11,14],[2,7,11,14],[2,10,12,13],[2,10,12,13],[3,5,10,14],[3,5,13,15],[3,6,8,12],[3,6,10,11],[3,7,8,13],[3,7,9,12],[3,9,11,16],[3,14,15,16],[4,5,9,13],[4,5,10,11],[4,6,10,14],[4,6,12,16],[4,7,12,15],[4,7,13,16],[4,8,9,11],[4,8,14,15],[5,9,12,14],[5,11,12,15],[6,8,13,14],[6,11,13,16],[7,8,10,15],[7,9,10,16]]; G[59]:=Group([(3,4)(8,16)(9,15)(11,14),(1,5)(3,8)(4,16)(6,7)(9,14)(11,15)(12,13),(1,6)(3,9,4,15)(5,7)(8,14,16,11)(12,13)]); R[59]:=[]; RG[59]:=[]; # Design 59 / Resolution 1: autom. group order 8 R[59][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,15,20,30],[6,13,19,32],[7,11,22,31],[8,16,21,27],[9,12,24,29],[10,14,23,28]]; RG[59][1]:=Group([(3,4)(8,16)(9,15)(11,14),(1,7)(3,11,4,14)(5,6)(8,15,16,9),(1,6)(3,9,4,15)(5,7)(8,14,16,11)(12,13)]); # Design 60: 7 resolution(s), autom. group order 8, simple D[60]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,8,10],[1,7,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,3,12,15],[2,4,6,13],[2,5,11,15],[2,7,8,14],[2,7,10,12],[2,8,11,16],[2,9,10,13],[2,9,14,16],[3,4,7,13],[3,5,8,16],[3,6,9,11],[3,6,15,16],[3,8,10,11],[3,9,10,14],[3,12,13,14],[4,5,8,14],[4,5,10,12],[4,6,14,15],[4,7,9,16],[4,10,11,15],[4,11,12,16],[5,6,9,12],[5,7,9,15],[5,10,13,16],[5,11,13,14],[6,7,10,16],[6,7,11,14],[6,8,12,13],[7,8,13,15],[8,9,12,15]]; G[60]:=Group([(1,2)(3,4)(5,6)(7,13)(8,15)(9,12)(10,11)(14,16),(1,3)(2,4)(5,7)(6,13)(8,12)(9,15)(10,14)(11,16),(1,8)(2,12)(3,15)(4,9)(5,13)(11,14)]); R[60]:=[]; RG[60]:=[]; # Design 60 / Resolution 1: autom. group order 8 R[60][1]:=[[1,34,37,40],[2,24,31,39],[3,18,30,38],[4,11,35,36],[5,13,25,29],[6,17,20,28],[7,15,22,26],[8,16,19,32],[9,12,23,33],[10,14,21,27]]; RG[60][1]:=Group([(1,9)(2,15)(3,12)(4,8)(6,7)(10,16),(1,4)(2,3)(5,13)(6,7)(8,9)(10,16)(11,14)(12,15),(1,3)(2,4)(5,7)(6,13)(8,12)(9,15)(10,14)(11,16)]); # Design 60 / Resolution 2: autom. group order 8 R[60][2]:=[[1,34,37,40],[2,24,31,39],[3,18,30,38],[4,15,22,35],[5,13,25,29],[6,17,20,28],[7,11,26,36],[8,16,19,32],[9,12,23,33],[10,14,21,27]]; RG[60][2]:=Group([(1,9)(2,15)(3,12)(4,8)(6,7)(10,16),(1,4)(2,3)(5,13)(6,7)(8,9)(10,16)(11,14)(12,15),(1,3)(2,4)(5,7)(6,13)(8,12)(9,15)(10,14)(11,16)]); # Design 60 / Resolution 3: autom. group order 8 R[60][3]:=[[1,35,36,40],[2,24,31,39],[3,18,30,38],[4,11,34,37],[5,13,25,29],[6,17,20,28],[7,15,22,26],[8,16,19,32],[9,12,23,33],[10,14,21,27]]; RG[60][3]:=Group([(1,9)(2,15)(3,12)(4,8)(6,7)(10,16),(1,8)(2,12)(3,15)(4,9)(5,13)(11,14),(1,2)(3,4)(5,6)(7,13)(8,15)(9,12)(10,11)(14,16)]); # Design 60 / Resolution 4: autom. group order 4 R[60][4]:=[[1,34,37,40],[2,24,31,39],[3,18,30,38],[4,11,35,36],[5,13,25,29],[6,17,20,28],[7,14,22,27],[8,16,19,32],[9,12,23,33],[10,15,21,26]]; RG[60][4]:=Group([(1,3)(2,4)(5,7)(6,13)(8,12)(9,15)(10,14)(11,16),(1,2)(3,4)(5,6)(7,13)(8,15)(9,12)(10,11)(14,16)]); # Design 60 / Resolution 5: autom. group order 8 R[60][5]:=[[1,34,37,40],[2,24,31,39],[3,18,30,38],[4,13,25,36],[5,11,29,35],[6,17,20,28],[7,15,22,26],[8,16,19,32],[9,12,23,33],[10,14,21,27]]; RG[60][5]:=Group([(1,8)(2,12)(3,15)(4,9)(5,13)(11,14),(1,4)(2,3)(5,13)(6,7)(8,9)(10,16)(11,14)(12,15),(1,2)(3,4)(5,6)(7,13)(8,15)(9,12)(10,11)(14,16)]); # Design 60 / Resolution 6: autom. group order 4 R[60][6]:=[[1,35,36,40],[2,24,31,39],[3,18,30,38],[4,11,34,37],[5,13,25,29],[6,17,20,28],[7,14,22,27],[8,16,19,32],[9,12,23,33],[10,15,21,26]]; RG[60][6]:=Group([(1,4)(2,3)(5,13)(6,7)(8,9)(10,16)(11,14)(12,15),(1,2)(3,4)(5,6)(7,13)(8,15)(9,12)(10,11)(14,16)]); # Design 60 / Resolution 7: autom. group order 4 R[60][7]:=[[1,34,37,40],[2,24,31,39],[3,18,30,38],[4,13,25,36],[5,11,29,35],[6,17,22,26],[7,15,20,28],[8,16,19,32],[9,12,23,33],[10,14,21,27]]; RG[60][7]:=Group([(1,4)(2,3)(5,13)(6,7)(8,9)(10,16)(11,14)(12,15),(1,3)(2,4)(5,7)(6,13)(8,12)(9,15)(10,14)(11,16)]); # Design 61: 4 resolution(s), autom. group order 8, simple D[61]:=[[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],[2,6,11,13],[2,7,10,16],[2,7,13,14],[2,9,11,12],[2,12,14,15],[3,4,11,16],[3,5,8,14],[3,6,8,12],[3,6,9,13],[3,7,12,16],[3,7,13,15],[3,9,10,11],[3,10,14,15],[4,5,9,14],[4,5,11,15],[4,6,10,14],[4,7,9,12],[4,8,13,16],[4,10,12,13],[5,6,12,15],[5,7,10,11],[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[61]:=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)(2,10)(3,12)(6,8)(7,16)(9,11)(14,15)]); R[61]:=[]; RG[61]:=[]; # Design 61 / Resolution 1: autom. group order 4 R[61][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],[9,13,23,27],[10,11,22,34]]; RG[61][1]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 61 / Resolution 2: autom. group order 4 R[61][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],[9,15,21,27],[10,11,22,34]]; RG[61][2]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 61 / Resolution 3: autom. group order 4 R[61][3]:=[[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],[9,15,21,27],[10,11,22,34]]; RG[61][3]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 61 / Resolution 4: autom. group order 4 R[61][4]:=[[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],[9,13,23,27],[10,11,22,34]]; RG[61][4]:=Group([(4,5)(6,7)(8,16)(9,15)(11,14),(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 62: 6 resolution(s), autom. group order 8, simple, decomposable D[62]:=[[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],[2,5,8,16],[2,6,10,15],[2,6,14,16],[2,7,11,15],[2,7,13,14],[2,9,11,12],[2,10,12,13],[3,4,13,15],[3,5,12,15],[3,6,8,10],[3,6,9,14],[3,7,8,11],[3,7,12,14],[3,9,11,16],[3,10,13,16],[4,5,9,13],[4,5,12,16],[4,6,11,16],[4,7,10,12],[4,8,14,15],[4,10,11,14],[5,6,11,13],[5,7,9,10],[5,8,14,15],[5,10,11,14],[6,8,12,13],[6,9,12,15],[7,8,13,16],[7,9,15,16]]; G[62]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,6)(3,7)(4,5)(8,11)(9,13)(10,15),(1,14)(2,8)(3,15)(4,5)(6,10)(7,11)(9,16)(12,13)]); R[62]:=[]; RG[62]:=[]; # Design 62 / Resolution 1: autom. group order 8, decomposable R[62][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,15,21,28],[8,11,24,33],[9,12,22,30],[10,13,23,27]]; RG[62][1]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,6)(3,7)(4,5)(8,11)(9,13)(10,15),(1,14)(2,11,3,10)(6,15,7,8)(9,16,13,12)]); # Design 62 / Resolution 2: autom. group order 4 R[62][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,15,21,28],[8,11,24,33],[9,12,22,30],[10,13,23,27]]; RG[62][2]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,11,3,10)(6,15,7,8)(9,16,13,12)]); # Design 62 / Resolution 3: autom. group order 8 R[62][3]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,12,22,30],[10,15,21,27]]; RG[62][3]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,11,3,10)(6,15,7,8)(9,16,13,12),(2,7)(3,6)(4,5)(8,10)(11,15)(12,16)]); # Design 62 / Resolution 4: autom. group order 4 R[62][4]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,16,20,29],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,12,22,30],[10,15,21,27]]; RG[62][4]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,10,3,11)(6,8,7,15)(9,12,13,16)]); # Design 62 / Resolution 5: autom. group order 8 R[62][5]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,16,20,29],[6,14,19,34],[7,15,21,28],[8,11,24,33],[9,12,22,30],[10,13,23,27]]; RG[62][5]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(2,6)(3,7)(4,5)(8,11)(9,13)(10,15),(1,14)(2,10,3,11)(6,8,7,15)(9,12,13,16)]); # Design 62 / Resolution 6: autom. group order 8 R[62][6]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,16,20,29],[6,14,19,34],[7,13,23,28],[8,11,24,33],[9,12,22,30],[10,15,21,27]]; RG[62][6]:=Group([(2,3)(6,7)(8,15)(9,13)(10,11)(12,16),(1,14)(2,10,3,11)(6,8,7,15)(9,12,13,16),(2,6)(3,7)(4,5)(8,11)(9,13)(10,15)]); # Design 63: 28 resolution(s), autom. group order 8, simple, decomposable D[63]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,4,9,16],[2,5,7,15],[2,6,10,16],[2,6,11,13],[2,7,8,10],[2,8,13,14],[2,9,11,12],[2,12,14,15],[3,4,8,14],[3,5,11,16],[3,6,9,13],[3,6,12,16],[3,7,8,12],[3,7,13,15],[3,9,10,11],[3,10,14,15],[4,5,9,14],[4,5,11,15],[4,6,12,15],[4,7,13,16],[4,8,10,11],[4,10,12,13],[5,6,10,14],[5,7,9,12],[5,8,13,16],[5,10,12,13],[6,7,11,14],[6,8,9,15],[7,11,14,16],[8,9,15,16]]; G[63]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,7,13,8)(2,11,10,15)(3,14,12,9)(4,16,5,6)]); R[63]:=[]; RG[63]:=[]; # Design 63 / Resolution 1: autom. group order 8 R[63][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],[7,15,22,28],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][1]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 2: autom. group order 8 R[63][2]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][2]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 3: autom. group order 8 R[63][3]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,13,23,28],[8,14,19,34],[9,15,22,27],[10,12,21,31]]; RG[63][3]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 4: autom. group order 8 R[63][4]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,13,23,28],[8,14,19,34],[9,15,22,27],[10,12,21,31]]; RG[63][4]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 5: autom. group order 8 R[63][5]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,13,23,28],[8,14,19,34],[9,15,22,27],[10,12,21,31]]; RG[63][5]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 6: autom. group order 8, decomposable R[63][6]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][6]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 7: autom. group order 8 R[63][7]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][7]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 8: autom. group order 8 R[63][8]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,13,23,28],[8,14,19,34],[9,15,22,27],[10,12,21,31]]; RG[63][8]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7,13,8)(2,11,10,15)(3,14,12,9)(4,16,5,6)]); # Design 63 / Resolution 9: autom. group order 4 R[63][9]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][9]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 10: autom. group order 4 R[63][10]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][10]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 11: autom. group order 4 R[63][11]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][11]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 12: autom. group order 4 R[63][12]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][12]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 13: autom. group order 4 R[63][13]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][13]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 14: autom. group order 4 R[63][14]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][14]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,7)(2,14)(3,11)(4,6)(5,16)(8,13)(9,10)(12,15)]); # Design 63 / Resolution 15: autom. group order 4 R[63][15]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][15]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 16: autom. group order 4 R[63][16]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,19,34],[9,13,23,27],[10,12,21,31]]; RG[63][16]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 17: autom. group order 4 R[63][17]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][17]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 18: autom. group order 4 R[63][18]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][18]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 19: autom. group order 4 R[63][19]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][19]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 20: autom. group order 4 R[63][20]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,11,24,33],[7,15,20,29],[8,14,23,27],[9,13,19,34],[10,12,21,31]]; RG[63][20]:=Group([(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15),(1,7)(2,14)(3,11)(4,6)(5,16)(8,13)(9,10)(12,15)]); # Design 63 / Resolution 21: autom. group order 8 R[63][21]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,13,24,27],[7,15,20,29],[8,14,19,34],[9,11,23,33],[10,12,21,31]]; RG[63][21]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 22: autom. group order 8 R[63][22]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,13,24,27],[7,15,20,29],[8,14,19,34],[9,11,23,33],[10,12,21,31]]; RG[63][22]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,8)(2,9)(3,15)(4,16)(5,6)(7,13)(10,14)(11,12)]); # Design 63 / Resolution 23: autom. group order 8 R[63][23]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,22,28],[6,13,24,27],[7,15,20,29],[8,14,19,34],[9,11,23,33],[10,12,21,31]]; RG[63][23]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7,13,8)(2,11,10,15)(3,14,12,9)(4,16,5,6)]); # Design 63 / Resolution 24: autom. group order 8 R[63][24]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,22,28],[6,13,24,27],[7,15,20,29],[8,14,19,34],[9,11,23,33],[10,12,21,31]]; RG[63][24]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7)(2,14)(3,11)(4,6)(5,16)(8,13)(9,10)(12,15)]); # Design 63 / Resolution 25: autom. group order 8 R[63][25]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,14,23,27],[9,13,19,34],[10,15,21,28]]; RG[63][25]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7)(2,14)(3,11)(4,6)(5,16)(8,13)(9,10)(12,15)]); # Design 63 / Resolution 26: autom. group order 8 R[63][26]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,14,23,27],[9,13,19,34],[10,15,21,28]]; RG[63][26]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7,13,8)(2,11,10,15)(3,14,12,9)(4,16,5,6)]); # Design 63 / Resolution 27: autom. group order 8 R[63][27]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,14,23,27],[9,13,19,34],[10,15,21,28]]; RG[63][27]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7)(2,14)(3,11)(4,6)(5,16)(8,13)(9,10)(12,15)]); # Design 63 / Resolution 28: autom. group order 8 R[63][28]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,12,22,31],[8,14,23,27],[9,13,19,34],[10,15,21,28]]; RG[63][28]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(6,16)(9,15)(11,14),(1,7)(2,14)(3,11)(4,6)(5,16)(8,13)(9,10)(12,15)]); # Design 64: 1 resolution(s), autom. group order 8, simple D[64]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[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],[2,4,11,12],[2,5,7,13],[2,6,9,11],[2,6,10,16],[2,7,8,14],[2,8,12,16],[2,9,13,15],[2,10,14,15],[3,4,8,14],[3,5,11,15],[3,6,9,16],[3,6,10,11],[3,7,8,13],[3,7,15,16],[3,9,12,13],[3,10,12,14],[4,5,9,12],[4,5,10,15],[4,6,13,14],[4,7,11,16],[4,8,9,15],[4,10,13,16],[5,6,13,14],[5,7,10,12],[5,8,11,16],[5,9,14,16],[6,7,12,15],[6,8,12,15],[7,9,11,14],[8,10,11,13]]; G[64]:=Group([(2,3)(4,5)(7,8)(9,10)(12,15)(13,14),(2,9)(3,10)(4,7)(5,8)(12,14)(13,15),(1,6)(2,12)(3,15)(4,8)(5,7)(9,14)(10,13)(11,16)]); R[64]:=[]; RG[64]:=[]; # Design 64 / Resolution 1: autom. group order 4 R[64][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],[7,15,21,28],[8,14,23,27],[9,12,22,31],[10,13,19,34]]; RG[64][1]:=Group([(2,9)(3,10)(4,7)(5,8)(12,14)(13,15),(1,6)(2,13)(3,14)(9,15)(10,12)(11,16)]); # Design 65: 7 resolution(s), autom. group order 8, simple D[65]:=[[1,2,3,4],[1,2,5,6],[1,3,5,7],[1,4,8,9],[1,6,10,11],[1,7,8,12],[1,9,13,14],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,3,10,13],[2,4,10,14],[2,5,9,12],[2,6,15,16],[2,7,9,13],[2,7,11,16],[2,8,11,15],[2,8,12,14],[3,4,6,12],[3,5,9,16],[3,6,8,10],[3,7,14,15],[3,8,14,16],[3,9,11,15],[3,11,12,13],[4,5,11,14],[4,5,12,15],[4,6,7,11],[4,7,13,15],[4,8,13,16],[4,9,10,16],[5,6,13,16],[5,7,10,14],[5,8,10,15],[5,8,11,13],[6,7,8,9],[6,9,14,15],[6,12,13,14],[7,10,12,16],[9,10,11,12]]; G[65]:=Group([(1,4)(2,8)(3,9)(5,16)(6,13)(7,10)(11,15)(12,14),(1,6)(3,16)(4,15)(7,13)(8,14)(10,11)]); R[65]:=[]; RG[65]:=[]; # Design 65 / Resolution 1: autom. group order 8 R[65][1]:=[[1,35,37,39],[2,22,30,40],[3,17,31,38],[4,14,25,33],[5,13,23,29],[6,12,24,32],[7,16,19,34],[8,18,20,28],[9,15,21,27],[10,11,26,36]]; RG[65][1]:=Group([(1,11)(2,12)(4,13)(5,9)(6,10)(7,15),(1,10)(2,12)(3,16)(4,7)(5,9)(6,11)(8,14)(13,15),(1,13,10,15)(2,8,12,14)(3,5,16,9)(4,11,7,6)]); # Design 65 / Resolution 2: autom. group order 8 R[65][2]:=[[1,35,37,39],[2,22,30,40],[3,17,31,38],[4,14,25,33],[5,15,23,27],[6,12,24,32],[7,16,19,34],[8,18,20,28],[9,13,21,29],[10,11,26,36]]; RG[65][2]:=Group([(1,11)(2,12)(4,13)(5,9)(6,10)(7,15),(1,10)(2,12)(3,16)(4,7)(5,9)(6,11)(8,14)(13,15),(1,13,10,15)(2,8,12,14)(3,5,16,9)(4,11,7,6)]); # Design 65 / Resolution 3: autom. group order 8 R[65][3]:=[[1,35,37,39],[2,22,30,40],[3,17,31,38],[4,14,25,33],[5,18,20,29],[6,12,24,32],[7,16,19,34],[8,13,23,28],[9,15,21,27],[10,11,26,36]]; RG[65][3]:=Group([(1,10)(2,12)(3,16)(4,7)(5,9)(6,11)(8,14)(13,15),(1,15,10,13)(2,14,12,8)(3,9,16,5)(4,6,7,11),(1,11)(2,12)(4,13)(5,9)(6,10)(7,15)]); # Design 65 / Resolution 4: autom. group order 4 R[65][4]:=[[1,35,37,39],[2,22,30,40],[3,17,31,38],[4,14,25,33],[5,18,20,29],[6,12,24,32],[7,16,21,27],[8,13,23,28],[9,15,19,34],[10,11,26,36]]; RG[65][4]:=Group([(1,10)(2,12)(3,16)(4,7)(5,9)(6,11)(8,14)(13,15),(1,7)(2,14)(3,5)(4,10)(6,15)(8,12)(9,16)(11,13)]); # Design 65 / Resolution 5: autom. group order 4 R[65][5]:=[[1,35,37,39],[2,22,30,40],[3,17,31,38],[4,14,25,33],[5,13,23,29],[6,12,24,32],[7,16,21,27],[8,18,20,28],[9,15,19,34],[10,11,26,36]]; RG[65][5]:=Group([(1,10)(2,12)(3,16)(4,7)(5,9)(6,11)(8,14)(13,15),(1,7)(2,14)(3,5)(4,10)(6,15)(8,12)(9,16)(11,13)]); # Design 65 / Resolution 6: autom. group order 8 R[65][6]:=[[1,35,37,39],[2,23,29,40],[3,17,31,38],[4,14,25,33],[5,13,22,30],[6,12,24,32],[7,16,19,34],[8,18,20,28],[9,15,21,27],[10,11,26,36]]; RG[65][6]:=Group([(1,6)(3,16)(4,15)(7,13)(8,14)(10,11),(1,11)(2,12)(4,13)(5,9)(6,10)(7,15),(1,7)(2,14)(3,5)(4,10)(6,15)(8,12)(9,16)(11,13)]); # Design 65 / Resolution 7: autom. group order 4 R[65][7]:=[[1,35,37,39],[2,23,29,40],[3,17,31,38],[4,14,25,33],[5,13,22,30],[6,12,24,32],[7,16,21,27],[8,18,20,28],[9,15,19,34],[10,11,26,36]]; RG[65][7]:=Group([(1,10)(2,12)(3,16)(4,7)(5,9)(6,11)(8,14)(13,15),(1,4)(2,8)(3,9)(5,16)(6,13)(7,10)(11,15)(12,14)]); # Design 66: 1 resolution(s), autom. group order 8 D[66]:=[[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],[2,5,7,12],[2,5,8,12],[2,6,10,14],[2,6,14,16],[2,7,9,11],[2,8,11,16],[2,9,13,15],[2,10,13,15],[3,5,11,13],[3,5,13,16],[3,6,7,15],[3,6,8,15],[3,7,10,16],[3,8,9,10],[3,9,12,14],[3,11,12,14],[4,5,9,14],[4,5,10,14],[4,6,9,13],[4,6,11,13],[4,7,11,16],[4,7,12,15],[4,8,10,16],[4,8,12,15],[5,9,15,16],[5,10,11,15],[6,9,12,16],[6,10,11,12],[7,8,13,14],[7,8,13,14]]; G[66]:=Group([(2,3)(5,6)(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(6,12)(7,8)(9,11)(10,16)(13,14)]); R[66]:=[]; RG[66]:=[]; # Design 66 / Resolution 1: autom. group order 8 R[66][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,31],[5,14,19,34],[6,13,20,32],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[66][1]:=Group([(2,3)(5,6)(7,8)(10,11)(12,15)(13,14),(1,4)(5,12)(6,15)(7,8)(9,16)(13,14),(1,2)(3,4)(6,12)(7,8)(9,11)(10,16)(13,14)]); # Design 67: 1 resolution(s), autom. group order 8 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],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,5,7,14],[2,5,9,16],[2,6,8,15],[2,6,11,16],[2,7,10,12],[2,8,10,12],[2,9,13,15],[2,11,13,14],[3,5,8,14],[3,5,12,13],[3,6,7,15],[3,6,10,13],[3,7,9,11],[3,8,9,11],[3,10,14,16],[3,12,15,16],[4,5,10,13],[4,5,11,16],[4,6,9,16],[4,6,12,13],[4,7,11,12],[4,7,14,15],[4,8,9,10],[4,8,14,15],[5,9,12,15],[5,10,11,15],[6,9,12,14],[6,10,11,14],[7,8,13,16],[7,8,13,16]]; G[67]:=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)(9,11)(10,12)(13,16)]); R[67]:=[]; RG[67]:=[]; # Design 67 / Resolution 1: autom. group order 8 R[67][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,16,21,28],[8,11,24,30],[9,15,19,29],[10,13,23,27]]; RG[67][1]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,15)(6,14)(7,8)(13,16)]); # Design 68: 1 resolution(s), autom. group order 8 D[68]:=[[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],[2,7,9,14],[2,10,13,16],[2,10,14,16],[3,5,13,14],[3,5,13,14],[3,6,8,16],[3,6,8,16],[3,7,10,12],[3,7,10,15],[3,9,11,12],[3,9,11,15],[4,5,10,12],[4,5,10,15],[4,6,9,13],[4,6,9,14],[4,7,11,16],[4,7,11,16],[4,8,12,13],[4,8,14,15],[5,9,12,16],[5,9,15,16],[6,10,11,13],[6,10,11,14],[7,8,12,14],[7,8,13,15]]; G[68]:=Group([(12,15)(13,14),(2,6)(3,5)(4,7)(11,16)(13,14),(1,8)(3,5)(4,11)(7,16)(9,10)]); R[68]:=[]; RG[68]:=[]; # Design 68 / Resolution 1: autom. group order 8 R[68][1]:=[[1,35,38,40],[2,36,37,39],[3,17,25,34],[4,18,26,33],[5,13,19,31],[6,14,20,32],[7,16,21,28],[8,15,22,27],[9,11,24,29],[10,12,23,30]]; RG[68][1]:=Group([(12,15)(13,14),(1,8)(2,6)(4,16)(7,11)(9,10)(12,15),(2,6)(3,5)(4,7)(11,16)(12,15)]); # Design 69: 1 resolution(s), autom. group order 8 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],[2,5,7,11],[2,5,8,10],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,14,15],[2,11,12,13],[3,5,12,16],[3,5,15,16],[3,6,7,13],[3,6,8,14],[3,7,11,14],[3,8,10,13],[3,9,10,15],[3,9,11,12],[4,5,10,12],[4,5,11,15],[4,6,9,12],[4,6,9,15],[4,7,10,14],[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[69]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(5,9)(6,16)(10,11),(1,3)(2,4)(6,16)(7,12)(8,15)(10,11)(13,14)]); R[69]:=[]; RG[69]:=[]; # Design 69 / Resolution 1: autom. group order 8 R[69][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[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[69][1]:=Group([(7,8)(10,11)(12,15)(13,14),(1,3)(2,4)(6,16)(7,15)(8,12),(1,4)(2,3)(5,9)(7,15)(8,12)(10,11)]); # Design 70: 2 resolution(s), autom. group order 8, simple D[70]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,4,11,14],[2,5,7,16],[2,6,8,9],[2,6,10,15],[2,7,13,15],[2,8,9,14],[2,10,12,16],[2,11,12,13],[3,4,8,13],[3,5,10,14],[3,6,7,12],[3,6,11,15],[3,7,12,14],[3,8,15,16],[3,9,10,16],[3,9,11,13],[4,5,10,13],[4,5,11,16],[4,6,9,16],[4,7,14,15],[4,8,10,12],[4,9,12,15],[5,6,12,13],[5,7,9,11],[5,8,14,15],[5,9,12,15],[6,10,11,14],[6,13,14,16],[7,8,10,11],[7,8,13,16]]; G[70]:=Group([(2,3)(4,5)(7,8)(9,12)(10,11)(13,16),(1,7,15,8)(2,3,12,9)(4,14,5,6)(10,13,16,11)]); R[70]:=[]; RG[70]:=[]; # Design 70 / Resolution 1: autom. group order 2 R[70][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,11,24,33],[6,15,20,29],[7,12,22,31],[8,16,21,28],[9,13,23,27],[10,14,19,34]]; RG[70][1]:=Group([(1,7)(2,12)(4,6)(5,14)(8,15)(11,13)]); # Design 70 / Resolution 2: autom. group order 2 R[70][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,11,24,33],[6,15,20,29],[7,12,22,31],[8,13,23,28],[9,16,21,27],[10,14,19,34]]; RG[70][2]:=Group([(1,8)(3,9)(4,14)(5,6)(7,15)(10,16)]); # Design 71: 1 resolution(s), autom. group order 8 D[71]:=[[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],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,7,15],[2,5,9,13],[2,6,8,14],[2,6,11,16],[2,7,10,12],[2,8,10,12],[2,9,14,16],[2,11,13,15],[3,5,8,9],[3,5,12,16],[3,6,7,11],[3,6,10,13],[3,7,14,15],[3,8,14,15],[3,9,10,16],[3,11,12,13],[4,5,12,13],[4,5,15,16],[4,6,10,16],[4,6,13,14],[4,7,9,11],[4,7,12,14],[4,8,9,11],[4,8,10,15],[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[71]:=Group([(5,6)(7,8)(9,11)(10,12)(13,16)(14,15),(1,2)(3,4)(5,10)(6,12)(9,15)(11,14),(1,3,2,4)(5,14,10,11)(6,15,12,9)]); R[71]:=[]; RG[71]:=[]; # Design 71 / Resolution 1: autom. group order 8 R[71][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,14,24,27],[6,12,23,29],[7,16,21,28],[8,13,20,31],[9,15,19,30],[10,11,22,33]]; RG[71][1]:=Group([(1,2)(3,4)(5,10)(6,12)(9,15)(11,14),(1,3,2,4)(5,14,10,11)(6,15,12,9),(5,6)(7,8)(9,11)(10,12)(13,16)(14,15)]); # Design 72: 1 resolution(s), autom. group order 8 D[72]:=[[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],[1,10,11,15],[1,12,15,16],[1,13,14,16],[2,5,7,13],[2,5,8,13],[2,6,9,15],[2,6,15,16],[2,7,10,11],[2,8,9,12],[2,10,14,16],[2,11,12,14],[3,5,12,14],[3,5,12,15],[3,6,7,11],[3,6,9,14],[3,7,13,16],[3,8,9,10],[3,8,10,16],[3,11,13,15],[4,5,10,14],[4,5,10,15],[4,6,8,16],[4,6,11,14],[4,7,9,12],[4,7,12,16],[4,8,11,13],[4,9,13,15],[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[72]:=Group([(1,2)(3,4)(6,13)(7,8)(10,12)(14,15),(1,3,2,4)(6,12,13,10)(7,14,8,15),(1,6)(2,13)(3,12)(4,10)(7,8)(9,16)(14,15)]); R[72]:=[]; RG[72]:=[]; # Design 72 / Resolution 1: autom. group order 8 R[72][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,31],[5,14,19,33],[6,13,23,27],[7,15,20,29],[8,12,22,32],[9,11,24,30],[10,16,21,28]]; RG[72][1]:=Group([(1,4,2,3)(6,10,13,12)(7,15,8,14),(1,6)(2,13)(3,12)(4,10)(7,8)(9,16)(14,15)]); # Design 73: 1 resolution(s), autom. group order 8 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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,11],[2,5,8,15],[2,6,11,16],[2,6,12,15],[2,7,9,12],[2,7,9,16],[2,10,13,14],[2,10,13,14],[3,5,12,13],[3,5,14,16],[3,6,8,13],[3,6,8,14],[3,7,10,12],[3,7,10,16],[3,9,11,15],[3,9,11,15],[4,5,10,11],[4,5,10,15],[4,6,9,13],[4,6,9,14],[4,7,11,13],[4,7,14,15],[4,8,12,16],[4,8,12,16],[5,9,12,14],[5,9,13,16],[6,10,11,16],[6,10,12,15],[7,8,11,14],[7,8,13,15]]; G[73]:=Group([(11,15)(12,16)(13,14),(3,4)(5,7)(8,9)(11,12)(15,16),(2,10)(3,8)(4,9)(5,7)(11,12)(13,14)(15,16)]); R[73]:=[]; RG[73]:=[]; # Design 73 / Resolution 1: autom. group order 4 R[73][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,33],[4,18,26,34],[5,13,19,32],[6,14,20,31],[7,12,24,30],[8,16,21,28],[9,15,22,27],[10,11,23,29]]; RG[73][1]:=Group([(11,15)(12,16)(13,14),(2,10)(3,9)(4,8)(13,14)]); # Design 74: 2 resolution(s), autom. group order 8, decomposable D[74]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,13],[2,5,8,14],[2,6,9,10],[2,6,14,15],[2,7,9,11],[2,7,13,15],[2,10,12,16],[2,11,12,16],[3,5,10,16],[3,5,11,16],[3,6,8,12],[3,6,11,15],[3,7,8,12],[3,7,10,15],[3,9,13,14],[3,9,13,14],[4,5,10,14],[4,5,11,13],[4,6,9,16],[4,6,12,14],[4,7,9,16],[4,7,12,13],[4,8,10,15],[4,8,11,15],[5,9,12,15],[5,9,12,15],[6,8,13,16],[6,10,11,13],[7,8,14,16],[7,10,11,14]]; G[74]:=Group([(6,7)(10,11)(13,14),(1,3)(2,4)(5,9)(6,13)(7,14)(8,16)(10,11)(12,15),(1,5)(2,15)(3,9)(4,12)(8,16)(10,11)]); R[74]:=[]; RG[74]:=[]; # Design 74 / Resolution 1: autom. group order 8, decomposable R[74][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,14,20,32],[6,16,19,30],[7,12,22,31],[8,11,24,29],[9,15,21,27],[10,13,23,28]]; RG[74][1]:=Group([(6,7)(10,11)(13,14),(1,3)(2,4)(5,9)(6,13)(7,14)(8,16)(10,11)(12,15),(1,9)(2,12)(3,5)(4,15)(6,13)(7,14)]); # Design 74 / Resolution 2: autom. group order 8 R[74][2]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,16,20,30],[6,14,19,32],[7,12,22,31],[8,11,24,29],[9,15,21,27],[10,13,23,28]]; RG[74][2]:=Group([(6,7)(10,11)(13,14),(1,3)(2,4)(5,9)(6,13)(7,14)(8,16)(10,11)(12,15),(1,9)(2,12)(3,5)(4,15)(6,13)(7,14)]); # Design 75: 3 resolution(s), autom. group order 8, decomposable D[75]:=[[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],[2,5,8,16],[2,6,12,14],[2,6,13,15],[2,7,9,12],[2,7,10,13],[2,9,11,15],[2,10,14,16],[3,5,12,14],[3,5,13,15],[3,6,8,11],[3,6,8,16],[3,7,9,14],[3,7,10,15],[3,9,11,13],[3,10,12,16],[4,5,9,12],[4,5,10,13],[4,6,9,14],[4,6,10,15],[4,7,11,16],[4,7,11,16],[4,8,12,15],[4,8,13,14],[5,9,15,16],[5,10,11,14],[6,9,13,16],[6,10,11,12],[7,8,12,15],[7,8,13,14]]; G[75]:=Group([(9,10)(11,16)(12,13)(14,15),(2,3)(5,6)(12,14)(13,15),(2,5)(3,6)(4,7)(11,16)]); R[75]:=[]; RG[75]:=[]; # Design 75 / Resolution 1: autom. group order 8, decomposable R[75][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[75][1]:=Group([(2,3)(5,6)(12,14)(13,15),(9,10)(11,16)(12,13)(14,15),(2,6)(3,5)(4,7)(9,10)(12,15)(13,14)]); # Design 75 / Resolution 2: autom. group order 4 R[75][2]:=[[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],[8,16,22,27],[9,11,24,29],[10,15,21,28]]; RG[75][2]:=Group([(2,5)(3,6)(4,7)(11,16),(9,10)(11,16)(12,13)(14,15)]); # Design 75 / Resolution 3: autom. group order 8 R[75][3]:=[[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[75][3]:=Group([(2,3)(5,6)(12,14)(13,15),(2,6)(3,5)(4,7)(11,16)(12,14)(13,15),(9,10)(11,16)(12,13)(14,15)]); # Design 76: 1 resolution(s), autom. group order 8 D[76]:=[[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],[1,11,14,16],[1,12,15,16],[2,5,8,9],[2,5,8,11],[2,6,13,15],[2,6,15,16],[2,7,9,12],[2,7,10,11],[2,10,14,16],[2,12,13,14],[3,5,10,14],[3,5,12,14],[3,6,8,13],[3,6,8,16],[3,7,10,13],[3,7,12,16],[3,9,11,15],[3,9,11,15],[4,5,10,15],[4,5,12,15],[4,6,9,14],[4,6,11,14],[4,7,9,16],[4,7,11,13],[4,8,10,16],[4,8,12,13],[5,9,13,16],[5,11,13,16],[6,9,10,12],[6,10,11,12],[7,8,14,15],[7,8,14,15]]; G[76]:=Group([(9,11)(10,12)(13,16),(2,4)(5,6)(8,14)(10,13)(12,16),(1,7)(2,8)(3,15)(4,14)(10,12)(13,16)]); R[76]:=[]; RG[76]:=[]; # Design 76 / Resolution 1: autom. group order 4 R[76][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,14,20,32],[6,13,19,31],[7,16,22,28],[8,12,24,29],[9,15,21,27],[10,11,23,30]]; RG[76][1]:=Group([(9,11)(10,12)(13,16),(1,7)(2,8)(3,15)(4,14)(10,12)(13,16)]); # Design 77: 4 resolution(s), autom. group order 8, decomposable D[77]:=[[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],[2,7,9,14],[2,8,10,14],[2,9,12,15],[2,10,11,16],[3,5,12,14],[3,5,14,16],[3,6,7,15],[3,6,8,11],[3,7,10,13],[3,8,9,13],[3,9,12,15],[3,10,11,16],[4,5,9,16],[4,5,10,12],[4,6,9,16],[4,6,10,12],[4,7,11,15],[4,7,13,14],[4,8,11,15],[4,8,13,14],[5,9,11,13],[5,10,13,15],[6,9,11,14],[6,10,14,15],[7,8,12,16],[7,8,12,16]]; G[77]:=Group([(7,8)(9,10)(11,15)(12,16),(2,3)(5,6)(9,10)(11,15)(12,16)(13,14),(1,4)(5,14)(6,13)(9,11)(10,15)(12,16)]); R[77]:=[]; RG[77]:=[]; # Design 77 / Resolution 1: autom. group order 8, decomposable R[77][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,14,19,33],[6,13,20,31],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[77][1]:=Group([(7,8)(9,10)(11,15)(12,16),(2,3)(5,6)(7,8)(13,14),(1,4)(5,14)(6,13)(7,8)(9,15)(10,11)]); # Design 77 / Resolution 2: autom. group order 8 R[77][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[77][2]:=Group([(7,8)(9,10)(11,15)(12,16),(2,3)(5,6)(7,8)(13,14),(1,4)(5,14)(6,13)(7,8)(9,15)(10,11)]); # Design 77 / Resolution 3: autom. group order 8 R[77][3]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,13,20,33],[6,14,19,31],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[77][3]:=Group([(1,4)(2,3)(5,13)(6,14)(9,15)(10,11),(2,3)(5,6)(7,8)(13,14),(2,3)(5,6)(9,10)(11,15)(12,16)(13,14)]); # Design 77 / Resolution 4: autom. group order 8 R[77][4]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[77][4]:=Group([(7,8)(9,10)(11,15)(12,16),(2,3)(5,6)(7,8)(13,14),(1,4)(5,14)(6,13)(7,8)(9,15)(10,11)]); # Design 78: 3 resolution(s), autom. group order 8, decomposable D[78]:=[[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],[2,5,12,14],[2,6,8,10],[2,6,13,15],[2,7,9,15],[2,8,9,12],[2,10,14,16],[2,11,13,16],[3,5,8,16],[3,5,12,14],[3,6,7,16],[3,6,13,15],[3,7,11,12],[3,8,10,15],[3,9,10,14],[3,9,11,13],[4,5,9,13],[4,5,10,13],[4,6,9,14],[4,6,11,14],[4,7,10,16],[4,7,12,15],[4,8,11,16],[4,8,12,15],[5,9,15,16],[5,10,11,15],[6,9,12,16],[6,10,11,12],[7,8,13,14],[7,8,13,14]]; G[78]:=Group([(5,6)(7,8)(10,11)(12,15)(13,14),(1,4)(2,3)(5,12)(6,15)(9,16),(1,13,4,14)(2,7,3,8)(5,6,15,12)(9,11,16,10)]); R[78]:=[]; RG[78]:=[]; # Design 78 / Resolution 1: autom. group order 8, decomposable R[78][1]:=[[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],[8,16,21,28],[9,11,24,29],[10,13,23,27]]; RG[78][1]:=Group([(5,6)(7,8)(10,11)(12,15)(13,14),(1,4)(2,3)(5,12)(6,15)(9,16),(1,14)(2,8)(3,7)(4,13)(6,12)(9,10)(11,16)]); # Design 78 / Resolution 2: autom. group order 4 R[78][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],[8,16,21,28],[9,11,24,29],[10,13,23,27]]; RG[78][2]:=Group([(5,6)(7,8)(10,11)(12,15)(13,14),(1,4)(2,3)(5,12)(6,15)(9,16)]); # Design 78 / Resolution 3: autom. group order 8 R[78][3]:=[[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],[8,16,21,28],[9,11,24,29],[10,13,23,27]]; RG[78][3]:=Group([(5,6)(7,8)(10,11)(12,15)(13,14),(1,4)(2,3)(5,12)(6,15)(9,16),(1,14)(2,8)(3,7)(4,13)(6,12)(9,10)(11,16)]); # Design 79: 1 resolution(s), autom. group order 8, decomposable D[79]:=[[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],[2,5,11,13],[2,6,8,15],[2,6,13,15],[2,7,9,12],[2,8,10,16],[2,9,12,14],[2,10,14,16],[3,5,8,14],[3,5,12,16],[3,6,7,14],[3,6,12,16],[3,7,10,13],[3,8,9,13],[3,9,11,15],[3,10,11,15],[4,5,9,15],[4,5,9,16],[4,6,10,11],[4,6,10,12],[4,7,13,16],[4,7,14,15],[4,8,11,14],[4,8,12,13],[5,10,12,15],[5,10,13,14],[6,9,11,16],[6,9,13,14],[7,8,11,16],[7,8,12,15]]; G[79]:=Group([(5,6)(7,8)(9,10)(11,15)(12,16),(5,9)(6,10)(11,12)(13,14)(15,16),(3,4)(5,11)(6,12)(7,13)(8,14)(9,15)(10,16)]); R[79]:=[]; RG[79]:=[]; # Design 79 / Resolution 1: autom. group order 8, decomposable R[79][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,31],[5,14,20,33],[6,12,22,32],[7,16,21,27],[8,13,23,28],[9,15,19,29],[10,11,24,30]]; RG[79][1]:=Group([(5,6)(7,8)(9,10)(11,15)(12,16),(5,10)(6,9)(7,8)(11,16)(12,15)(13,14),(3,4)(5,11)(6,12)(7,13)(8,14)(9,15)(10,16)]); # Design 80: 1 resolution(s), autom. group order 8 D[80]:=[[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],[1,10,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,12],[2,5,8,9],[2,6,10,13],[2,6,11,14],[2,7,11,15],[2,8,10,15],[2,9,14,16],[2,12,13,16],[3,5,13,15],[3,5,14,15],[3,6,7,16],[3,6,8,16],[3,7,11,12],[3,8,9,10],[3,9,11,14],[3,10,12,13],[4,5,9,13],[4,5,12,14],[4,6,10,14],[4,6,11,13],[4,7,9,16],[4,7,10,15],[4,8,11,15],[4,8,12,16],[5,10,11,16],[5,10,11,16],[6,9,12,15],[6,9,12,15],[7,8,13,14],[7,8,13,14]]; G[80]:=Group([(7,8)(9,12)(10,11)(13,14),(5,16)(6,15)(7,13)(8,14)(10,11),(1,3)(2,4)(6,15)(7,13)(8,14)(9,12)]); R[80]:=[]; RG[80]:=[]; # Design 80 / Resolution 1: autom. group order 8 R[80][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,32],[5,14,19,34],[6,13,20,31],[7,16,21,28],[8,15,22,27],[9,12,23,29],[10,11,24,30]]; RG[80][1]:=Group([(1,3)(2,4)(5,16)(9,12)(10,11),(5,16)(6,15)(7,14)(8,13)(9,12),(5,16)(6,15)(7,13)(8,14)(10,11)]); # Design 81: 1 resolution(s), autom. group order 8, simple, decomposable D[81]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,12,15],[1,13,14,16],[2,4,11,13],[2,5,7,14],[2,6,8,15],[2,6,9,15],[2,7,14,16],[2,8,12,16],[2,9,10,12],[2,10,11,13],[3,4,9,15],[3,5,13,15],[3,6,10,16],[3,6,12,14],[3,7,8,11],[3,7,10,11],[3,8,13,16],[3,9,12,14],[4,5,10,12],[4,5,12,16],[4,6,11,14],[4,7,15,16],[4,8,9,13],[4,8,10,14],[5,6,10,13],[5,7,8,9],[5,9,11,16],[5,11,14,15],[6,7,12,13],[6,9,11,16],[7,12,13,15],[8,10,14,15]]; G[81]:=Group([(2,14)(3,13)(4,9)(5,16)(6,10)(8,15)(11,12),(1,3)(4,5)(6,15)(7,13)(8,9)(10,16)(11,14)]); R[81]:=[]; RG[81]:=[]; # Design 81 / Resolution 1: autom. group order 8, decomposable R[81][1]:=[[1,35,37,40],[2,32,38,39],[3,17,25,36],[4,18,26,30],[5,16,20,29],[6,15,19,33],[7,13,24,28],[8,11,22,34],[9,12,21,31],[10,14,23,27]]; RG[81][1]:=Group([(1,3)(4,5)(6,15)(7,13)(8,9)(10,16)(11,14),(2,14)(3,13)(4,9)(5,16)(6,10)(8,15)(11,12)]); # Design 82: 3 resolution(s), autom. group order 8, decomposable D[82]:=[[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],[2,5,8,12],[2,6,11,13],[2,6,12,14],[2,7,9,15],[2,7,9,16],[2,10,13,15],[2,10,14,16],[3,5,13,16],[3,5,14,15],[3,6,8,15],[3,6,8,16],[3,7,10,11],[3,7,10,12],[3,9,11,14],[3,9,12,13],[4,5,10,13],[4,5,10,14],[4,6,9,13],[4,6,9,14],[4,7,11,15],[4,7,12,16],[4,8,11,15],[4,8,12,16],[5,9,11,16],[5,9,12,15],[6,10,11,16],[6,10,12,15],[7,8,13,14],[7,8,13,14]]; G[82]:=Group([(11,12)(13,14)(15,16),(5,9)(6,10)(7,8)(11,15)(12,16),(2,3)(5,6)(9,10)(11,15)(12,16)(13,14)]); R[82]:=[]; RG[82]:=[]; # Design 82 / Resolution 1: autom. group order 4 R[82][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,13,20,32],[6,14,19,31],[7,15,22,28],[8,16,21,27],[9,12,23,30],[10,11,24,29]]; RG[82][1]:=Group([(11,12)(13,14)(15,16),(2,3)(5,10)(6,9)(7,8)(13,14)]); # Design 82 / Resolution 2: autom. group order 8, decomposable R[82][2]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,13,20,32],[6,14,19,31],[7,16,21,28],[8,15,22,27],[9,12,23,30],[10,11,24,29]]; RG[82][2]:=Group([(11,12)(13,14)(15,16),(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(2,3)(5,6)(9,10)(11,16)(12,15)]); # Design 82 / Resolution 3: autom. group order 8 R[82][3]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,13,20,32],[6,14,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[82][3]:=Group([(11,12)(13,14)(15,16),(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(2,3)(5,6)(9,10)(11,16)(12,15)]); # Design 83: 3 resolution(s), autom. group order 8 D[83]:=[[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],[1,11,15,16],[1,12,13,14],[2,5,7,13],[2,5,11,14],[2,6,8,15],[2,6,9,16],[2,7,9,12],[2,8,10,11],[2,10,13,16],[2,12,14,15],[3,5,8,13],[3,5,10,14],[3,6,7,15],[3,6,12,16],[3,7,10,11],[3,8,9,12],[3,9,14,15],[3,11,13,16],[4,5,9,16],[4,5,12,16],[4,6,10,14],[4,6,11,14],[4,7,11,12],[4,7,13,15],[4,8,9,10],[4,8,13,15],[5,9,11,15],[5,10,12,15],[6,9,11,13],[6,10,12,13],[7,8,14,16],[7,8,14,16]]; G[83]:=Group([(5,6)(7,8)(9,11)(10,12)(13,15)(14,16),(2,3)(7,8)(9,12)(10,11),(1,4)(5,13)(6,15)(9,12)(10,11)(14,16)]); R[83]:=[]; RG[83]:=[]; # Design 83 / Resolution 1: autom. group order 8 R[83][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,12,22,34],[6,14,20,32],[7,13,23,28],[8,15,19,30],[9,11,24,29],[10,16,21,27]]; RG[83][1]:=Group([(1,4)(2,3)(5,15)(6,13)(9,11)(10,12),(2,3)(7,8)(9,12)(10,11),(2,3)(5,6)(9,10)(11,12)(13,15)(14,16)]); # Design 83 / Resolution 2: autom. group order 4 R[83][2]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,12,22,34],[6,14,20,32],[7,16,21,28],[8,15,19,30],[9,11,24,29],[10,13,23,27]]; RG[83][2]:=Group([(2,3)(7,8)(9,12)(10,11),(1,4)(5,13)(6,15)(9,12)(10,11)(14,16)]); # Design 83 / Resolution 3: autom. group order 8 R[83][3]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,12,22,34],[6,14,20,32],[7,16,21,28],[8,11,24,30],[9,15,19,29],[10,13,23,27]]; RG[83][3]:=Group([(1,4)(2,3)(5,15)(6,13)(9,11)(10,12),(2,3)(7,8)(9,12)(10,11),(2,3)(5,6)(9,10)(11,12)(13,15)(14,16)]); # Design 84: 1 resolution(s), autom. group order 8 D[84]:=[[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],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,7,11],[2,5,14,16],[2,6,8,9],[2,6,13,15],[2,7,10,15],[2,8,9,14],[2,10,12,16],[2,11,12,13],[3,5,8,10],[3,5,13,14],[3,6,7,12],[3,6,15,16],[3,7,12,14],[3,8,11,15],[3,9,10,16],[3,9,11,13],[4,5,10,13],[4,5,11,16],[4,6,9,16],[4,6,12,13],[4,7,9,11],[4,7,14,15],[4,8,10,12],[4,8,14,15],[5,9,12,15],[5,9,12,15],[6,10,11,14],[6,10,11,14],[7,8,13,16],[7,8,13,16]]; G[84]:=Group([(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,15)(6,14)(10,11)(13,16),(1,5)(2,9)(3,12)(4,15)(10,11)(13,16)]); R[84]:=[]; RG[84]:=[]; # Design 84 / Resolution 1: autom. group order 2 R[84][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,12,24,30],[6,15,20,29],[7,11,22,33],[8,16,21,28],[9,13,23,27],[10,14,19,31]]; RG[84][1]:=Group([(1,5)(2,9)(3,12)(4,15)(10,11)(13,16)]); # Design 85: 2 resolution(s), autom. group order 8, decomposable D[85]:=[[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],[1,11,15,16],[1,12,13,14],[2,5,8,9],[2,5,8,11],[2,6,13,15],[2,6,14,16],[2,7,9,13],[2,7,12,16],[2,10,11,14],[2,10,12,15],[3,5,13,15],[3,5,14,16],[3,6,8,10],[3,6,8,12],[3,7,10,16],[3,7,11,13],[3,9,11,14],[3,9,12,15],[4,5,10,14],[4,5,11,15],[4,6,9,15],[4,6,12,14],[4,7,9,10],[4,7,11,12],[4,8,13,16],[4,8,13,16],[5,9,12,16],[5,10,12,13],[6,9,11,16],[6,10,11,13],[7,8,14,15],[7,8,14,15]]; G[85]:=Group([(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(2,5)(3,6)(4,7)(9,11)(10,12)(13,15)(14,16),(1,8)(2,13)(3,16)(5,14)(6,15)(11,12)]); R[85]:=[]; RG[85]:=[]; # Design 85 / Resolution 1: autom. group order 8 R[85][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,13,20,32],[6,14,19,31],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[85][1]:=Group([(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(2,6)(3,5)(4,7)(9,12)(10,11)(13,14)(15,16),(1,8)(2,16)(3,13)(5,15)(6,14)(9,10)]); # Design 85 / Resolution 2: autom. group order 8, decomposable R[85][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,14,19,32],[6,13,20,31],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[85][2]:=Group([(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,8)(2,14,3,15)(4,7)(5,13,6,16)(9,12,10,11),(2,5)(3,6)(4,7)(9,11)(10,12)(13,15)(14,16)]); # Design 86: 1 resolution(s), autom. group order 8, decomposable D[86]:=[[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],[2,6,11,15],[2,6,12,16],[2,7,9,14],[2,7,10,12],[2,9,13,16],[2,10,13,15],[3,5,12,16],[3,5,13,14],[3,6,8,13],[3,6,8,15],[3,7,9,15],[3,7,10,12],[3,9,11,16],[3,10,11,14],[4,5,9,11],[4,5,10,16],[4,6,9,13],[4,6,10,16],[4,7,11,15],[4,7,13,14],[4,8,12,14],[4,8,12,15],[5,9,12,15],[5,10,13,15],[6,9,12,14],[6,10,11,14],[7,8,11,16],[7,8,13,16]]; G[86]:=Group([(2,3)(5,6)(11,13)(14,15),(2,5)(3,6)(4,7)(11,14)(12,16)(13,15),(2,11,6,15)(3,13,5,14)(4,12,7,16)(8,10)]); R[86]:=[]; RG[86]:=[]; # Design 86 / Resolution 1: autom. group order 8, decomposable R[86][1]:=[[1,35,38,40],[2,36,37,39],[3,17,26,34],[4,18,25,33],[5,13,19,32],[6,14,20,31],[7,12,23,30],[8,15,22,28],[9,11,24,29],[10,16,21,27]]; RG[86][1]:=Group([(2,3)(5,6)(11,13)(14,15),(2,11,6,15)(3,13,5,14)(4,12,7,16)(8,10)]); # Design 87: 2 resolution(s), autom. group order 8, decomposable D[87]:=[[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],[1,11,15,16],[1,12,13,14],[2,5,8,9],[2,5,8,11],[2,6,13,15],[2,6,14,16],[2,7,9,13],[2,7,11,16],[2,10,12,14],[2,10,12,15],[3,5,13,15],[3,5,14,16],[3,6,8,10],[3,6,8,12],[3,7,10,16],[3,7,12,13],[3,9,11,14],[3,9,11,15],[4,5,10,14],[4,5,12,15],[4,6,9,15],[4,6,11,14],[4,7,9,10],[4,7,11,12],[4,8,13,16],[4,8,13,16],[5,9,12,16],[5,10,11,13],[6,9,12,16],[6,10,11,13],[7,8,14,15],[7,8,14,15]]; G[87]:=Group([(9,11)(10,12)(13,16)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,8)(2,13)(3,16)(5,14)(6,15)(11,12)]); R[87]:=[]; RG[87]:=[]; # Design 87 / Resolution 1: autom. group order 8, decomposable R[87][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,14,19,32],[6,13,20,31],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[87][1]:=Group([(9,11)(10,12)(13,16)(14,15),(2,3)(5,6)(9,12)(10,11),(1,8)(2,16)(3,13)(5,15)(6,14)(9,10)]); # Design 87 / Resolution 2: autom. group order 8 R[87][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,13,20,32],[6,14,19,31],[7,16,21,28],[8,11,24,30],[9,15,22,27],[10,12,23,29]]; RG[87][2]:=Group([(9,11)(10,12)(13,16)(14,15),(2,3)(5,6)(9,12)(10,11),(1,8)(2,16)(3,13)(5,15)(6,14)(9,10)]); # Design 88: 3 resolution(s), autom. group order 8, decomposable D[88]:=[[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],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,11],[2,6,12,14],[2,6,13,15],[2,7,9,12],[2,8,10,15],[2,9,13,16],[2,10,14,16],[3,5,12,14],[3,5,13,15],[3,6,7,16],[3,6,8,16],[3,7,10,15],[3,8,9,12],[3,9,11,13],[3,10,11,14],[4,5,9,14],[4,5,10,13],[4,6,9,14],[4,6,10,13],[4,7,11,16],[4,7,12,15],[4,8,11,16],[4,8,12,15],[5,9,15,16],[5,10,12,16],[6,9,11,15],[6,10,11,12],[7,8,13,14],[7,8,13,14]]; G[88]:=Group([(7,8)(9,10)(12,15)(13,14),(2,3)(5,6)(9,10)(11,16)(12,15)(13,14),(1,4)(5,11)(6,16)(9,12)(10,15)(13,14)]); R[88]:=[]; RG[88]:=[]; # Design 88 / Resolution 1: autom. group order 8, decomposable R[88][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,13,20,33],[6,14,19,31],[7,16,21,27],[8,15,22,28],[9,12,23,29],[10,11,24,30]]; RG[88][1]:=Group([(7,8)(9,10)(12,15)(13,14),(2,3)(5,6)(7,8)(11,16),(1,4)(5,11)(6,16)(7,8)(9,15)(10,12)]); # Design 88 / Resolution 2: autom. group order 4 R[88][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,16,21,27],[8,15,22,28],[9,12,23,29],[10,11,24,30]]; RG[88][2]:=Group([(2,3)(5,6)(7,8)(11,16),(2,3)(5,6)(9,10)(11,16)(12,15)(13,14)]); # Design 88 / Resolution 3: autom. group order 8 R[88][3]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,16,21,27],[8,15,22,28],[9,12,23,29],[10,11,24,30]]; RG[88][3]:=Group([(1,4)(2,3)(5,16)(6,11)(9,15)(10,12),(2,3)(5,6)(7,8)(11,16),(2,3)(5,6)(9,10)(11,16)(12,15)(13,14)]); # Design 89: 6 resolution(s), autom. group order 8, simple, decomposable D[89]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,11],[1,10,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,4,8,10],[2,5,14,15],[2,6,8,16],[2,6,9,15],[2,7,10,12],[2,7,12,14],[2,9,11,13],[2,11,13,16],[3,4,13,15],[3,5,8,11],[3,6,11,12],[3,6,12,13],[3,7,8,16],[3,7,9,15],[3,9,10,14],[3,10,14,16],[4,5,10,13],[4,5,11,14],[4,6,9,14],[4,7,11,16],[4,8,12,15],[4,9,12,16],[5,6,10,16],[5,7,9,13],[5,8,12,15],[5,9,12,16],[6,8,13,14],[6,10,11,15],[7,8,13,14],[7,10,11,15]]; G[89]:=Group([(4,5)(8,15)(9,16)(10,14)(11,13),(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(1,12)(2,8)(3,15)(6,16)(7,9)(11,14)]); R[89]:=[]; RG[89]:=[]; # Design 89 / Resolution 1: autom. group order 4 R[89][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,13,24,28],[8,14,23,27],[9,15,20,29],[10,11,21,34]]; RG[89][1]:=Group([(4,5)(8,15)(9,16)(10,14)(11,13),(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 89 / Resolution 2: autom. group order 8 R[89][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,13,24,28],[8,14,23,27],[9,15,20,29],[10,11,21,34]]; RG[89][2]:=Group([(1,12)(2,15)(3,8)(6,9)(7,16)(10,13),(4,5)(8,15)(9,16)(10,14)(11,13)]); # Design 89 / Resolution 3: autom. group order 8 R[89][3]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,16,19,33],[7,13,24,28],[8,14,23,27],[9,15,20,29],[10,11,21,34]]; RG[89][3]:=Group([(1,12)(2,15)(3,8)(6,9)(7,16)(10,13),(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 89 / Resolution 4: autom. group order 8 R[89][4]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,16,19,33],[7,14,23,28],[8,13,24,27],[9,15,20,29],[10,11,21,34]]; RG[89][4]:=Group([(4,5)(8,15)(9,16)(10,14)(11,13),(1,12)(2,8)(3,15)(6,16)(7,9)(11,14)]); # Design 89 / Resolution 5: autom. group order 4 R[89][5]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,31],[5,12,22,30],[6,16,19,33],[7,14,23,28],[8,13,24,27],[9,15,20,29],[10,11,21,34]]; RG[89][5]:=Group([(4,5)(8,15)(9,16)(10,14)(11,13),(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 89 / Resolution 6: autom. group order 8, decomposable R[89][6]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,12,22,30],[6,16,19,33],[7,14,23,28],[8,13,24,27],[9,15,20,29],[10,11,21,34]]; RG[89][6]:=Group([(4,5)(8,15)(9,16)(10,14)(11,13),(1,12)(2,15)(3,8)(6,9)(7,16)(10,13)]); # Design 90: 2 resolution(s), autom. group order 8 D[90]:=[[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],[2,6,11,13],[2,6,12,14],[2,7,8,12],[2,8,13,16],[2,9,10,16],[2,10,11,15],[3,5,8,16],[3,5,11,14],[3,6,9,13],[3,6,10,14],[3,7,8,10],[3,7,13,15],[3,9,12,16],[3,11,12,15],[4,5,9,11],[4,5,15,16],[4,6,10,16],[4,6,12,15],[4,7,9,12],[4,7,13,14],[4,8,10,11],[4,8,13,14],[5,10,12,13],[5,10,12,13],[6,7,11,16],[6,8,9,15],[7,11,14,16],[8,9,14,15]]; G[90]:=Group([(2,3)(7,8)(9,11)(10,12)(15,16),(1,4)(5,13)(6,14)(7,8)(9,11)(15,16),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); R[90]:=[]; RG[90]:=[]; # Design 90 / Resolution 1: autom. group order 4 R[90][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,13,19,31],[9,11,21,33],[10,14,23,27]]; RG[90][1]:=Group([(1,4)(2,3)(5,13)(6,14)(10,12),(1,5)(2,12)(3,10)(4,13)(7,8)(9,16)(11,15)]); # Design 90 / Resolution 2: autom. group order 4 R[90][2]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,14,23,28],[8,13,19,31],[9,11,21,33],[10,15,22,27]]; RG[90][2]:=Group([(1,4)(2,3)(5,13)(6,14)(10,12),(1,5)(2,12)(3,10)(4,13)(7,8)(9,16)(11,15)]); # Design 91: 1 resolution(s), autom. group order 8 D[91]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,15],[2,5,8,10],[2,6,12,13],[2,6,14,16],[2,7,9,11],[2,8,9,15],[2,10,12,14],[2,11,13,16],[3,5,10,13],[3,5,14,15],[3,6,7,16],[3,6,9,13],[3,7,11,12],[3,8,11,16],[3,8,12,15],[3,9,10,14],[4,5,11,13],[4,5,11,14],[4,6,8,12],[4,6,9,14],[4,7,10,16],[4,7,12,15],[4,8,10,16],[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[91]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(1,4)(2,3)(6,11)(7,13)(8,14)(10,15),(1,5)(2,9)(3,12)(4,16)(7,8)(11,15)]); R[91]:=[]; RG[91]:=[]; # Design 91 / Resolution 1: autom. group order 8 R[91][1]:=[[1,35,37,39],[2,36,38,40],[3,17,24,34],[4,18,26,32],[5,14,25,27],[6,13,20,31],[7,16,21,28],[8,11,22,33],[9,12,23,30],[10,15,19,29]]; RG[91][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(1,4)(2,3)(6,11)(7,13)(8,14)(10,15),(1,5,4,16)(2,9,3,12)(6,11,10,15)(7,14,8,13)]); # Design 92: 3 resolution(s), autom. group order 8 D[92]:=[[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],[2,5,7,14],[2,5,11,16],[2,6,8,15],[2,6,9,16],[2,7,9,12],[2,8,10,11],[2,10,13,14],[2,12,13,15],[3,5,8,14],[3,5,10,13],[3,6,7,15],[3,6,12,13],[3,7,10,11],[3,8,9,12],[3,9,15,16],[3,11,14,16],[4,5,9,13],[4,5,12,16],[4,6,10,16],[4,6,11,13],[4,7,11,12],[4,7,14,15],[4,8,9,10],[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[92]:=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)(9,12)(10,11)(13,16)]); R[92]:=[]; RG[92]:=[]; # Design 92 / Resolution 1: autom. group order 4 R[92][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,12,22,34],[6,14,20,32],[7,13,23,28],[8,11,24,30],[9,15,19,29],[10,16,21,27]]; RG[92][1]:=Group([(1,4)(5,14)(6,15)(9,12)(10,11)(13,16),(1,4)(2,3)(5,14)(6,15)(7,8)]); # Design 92 / Resolution 2: autom. group order 8 R[92][2]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,12,22,34],[6,14,20,32],[7,13,23,28],[8,15,19,30],[9,11,24,29],[10,16,21,27]]; RG[92][2]:=Group([(1,4)(2,3)(5,15)(6,14)(9,11)(10,12),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(5,6)(7,8)(9,11)(10,12)(14,15)]); # Design 92 / Resolution 3: autom. group order 8 R[92][3]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,12,22,34],[6,14,20,32],[7,16,21,28],[8,11,24,30],[9,15,19,29],[10,13,23,27]]; RG[92][3]:=Group([(5,6)(7,8)(9,11)(10,12)(14,15),(1,4)(5,15)(6,14)(7,8)(9,10)(11,12)(13,16),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15)]); # Design 93: 3 resolution(s), autom. group order 8, decomposable D[93]:=[[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],[2,6,8,14],[2,6,11,16],[2,7,10,11],[2,8,9,12],[2,10,13,14],[2,12,13,15],[3,5,8,15],[3,5,12,13],[3,6,7,14],[3,6,10,13],[3,7,9,12],[3,8,10,11],[3,9,15,16],[3,11,14,16],[4,5,10,16],[4,5,11,13],[4,6,9,13],[4,6,12,16],[4,7,11,12],[4,7,14,15],[4,8,9,10],[4,8,14,15],[5,9,11,14],[5,10,12,14],[6,9,11,15],[6,10,12,15],[7,8,13,16],[7,8,13,16]]; G[93]:=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)(9,10)(11,12)(13,16)]); R[93]:=[]; RG[93]:=[]; # Design 93 / Resolution 1: autom. group order 4 R[93][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,15,19,30],[8,16,21,28],[9,13,23,27],[10,11,24,29]]; RG[93][1]:=Group([(1,4)(5,15)(6,14)(9,12)(10,11)(13,16),(1,4)(2,3)(5,15)(6,14)(7,8)]); # Design 93 / Resolution 2: autom. group order 8 R[93][2]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,11,24,30],[8,16,21,28],[9,13,23,27],[10,15,19,29]]; RG[93][2]:=Group([(1,4)(2,3)(5,14)(6,15)(9,11)(10,12),(1,4)(5,15)(6,14)(9,12)(10,11)(13,16),(5,6)(7,8)(9,11)(10,12)(14,15)]); # Design 93 / Resolution 3: autom. group order 8, decomposable R[93][3]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,12,22,32],[7,15,19,30],[8,13,23,28],[9,16,21,27],[10,11,24,29]]; RG[93][3]:=Group([(1,4)(2,3)(5,14)(6,15)(9,11)(10,12),(1,4)(5,15)(6,14)(9,12)(10,11)(13,16),(5,6)(7,8)(9,11)(10,12)(14,15)]); # Design 94: 2 resolution(s), autom. group order 8 D[94]:=[[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],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,7,16],[2,5,11,13],[2,6,8,9],[2,6,10,15],[2,7,14,15],[2,8,9,13],[2,10,12,14],[2,11,12,16],[3,5,8,14],[3,5,10,13],[3,6,7,12],[3,6,11,15],[3,7,12,13],[3,8,15,16],[3,9,10,14],[3,9,11,16],[4,5,10,11],[4,5,14,16],[4,6,9,16],[4,6,12,14],[4,7,9,11],[4,7,13,15],[4,8,10,12],[4,8,13,15],[5,9,12,15],[5,9,12,15],[6,10,13,16],[6,11,13,14],[7,8,10,16],[7,8,11,14]]; G[94]:=Group([(2,3)(7,8)(9,12)(10,11)(14,16),(1,4)(5,15)(6,13)(10,11)(14,16),(1,5)(2,9)(3,12)(4,15)(10,16)(11,14)]); R[94]:=[]; RG[94]:=[]; # Design 94 / Resolution 1: autom. group order 4 R[94][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,12,24,30],[6,15,20,29],[7,11,22,33],[8,13,23,28],[9,14,19,31],[10,16,21,27]]; RG[94][1]:=Group([(1,4)(5,15)(6,13)(10,11)(14,16),(1,5)(2,9)(3,12)(4,15)(10,16)(11,14)]); # Design 94 / Resolution 2: autom. group order 4 R[94][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,12,24,30],[6,15,20,29],[7,11,22,33],[8,13,23,28],[9,14,19,31],[10,16,21,27]]; RG[94][2]:=Group([(1,4)(5,15)(6,13)(10,11)(14,16),(1,5)(2,9)(3,12)(4,15)(10,16)(11,14)]); # Design 95: 1 resolution(s), autom. group order 8 D[95]:=[[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],[1,10,11,15],[1,12,13,16],[1,14,15,16],[2,5,7,16],[2,5,11,13],[2,6,8,9],[2,6,10,15],[2,7,14,15],[2,8,9,13],[2,10,12,16],[2,11,12,14],[3,5,8,14],[3,5,10,13],[3,6,7,12],[3,6,11,15],[3,7,12,13],[3,8,15,16],[3,9,10,16],[3,9,11,14],[4,5,10,11],[4,5,14,16],[4,6,9,16],[4,6,12,14],[4,7,9,11],[4,7,13,15],[4,8,10,12],[4,8,13,15],[5,9,12,15],[5,9,12,15],[6,10,13,14],[6,11,13,16],[7,8,10,14],[7,8,11,16]]; G[95]:=Group([(2,3)(7,8)(9,12)(10,11)(14,16),(1,4)(5,15)(6,13)(10,11)(14,16),(1,5)(2,9)(3,12)(4,15)(10,16)(11,14)]); R[95]:=[]; RG[95]:=[]; # Design 95 / Resolution 1: autom. group order 2 R[95][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,12,24,30],[6,15,20,29],[7,11,22,33],[8,13,23,28],[9,14,19,31],[10,16,21,27]]; RG[95][1]:=Group([(1,4)(5,15)(6,13)(10,11)(14,16)]); # Design 96: 1 resolution(s), autom. group order 8, decomposable D[96]:=[[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],[1,11,15,16],[1,12,13,14],[2,5,7,15],[2,5,11,15],[2,6,8,13],[2,6,11,12],[2,7,9,16],[2,8,9,13],[2,10,12,14],[2,10,14,16],[3,5,10,13],[3,5,13,16],[3,6,7,14],[3,6,12,16],[3,7,11,14],[3,8,9,15],[3,8,10,11],[3,9,12,15],[4,5,9,12],[4,5,10,12],[4,6,9,16],[4,6,14,15],[4,7,8,10],[4,7,11,13],[4,8,14,15],[4,11,13,16],[5,8,14,16],[5,9,11,14],[6,9,10,11],[6,10,13,15],[7,8,12,16],[7,12,13,15]]; G[96]:=Group([(3,4)(5,15)(6,16)(7,11)(8,10)(9,12)(13,14),(1,2)(5,13)(6,8)(7,9)(10,16)(11,12)(14,15),(1,3)(2,4)(5,14)(6,7)(8,11)(9,16)(10,12)]); R[96]:=[]; RG[96]:=[]; # Design 96 / Resolution 1: autom. group order 8, decomposable R[96][1]:=[[1,35,37,40],[2,36,38,39],[3,17,24,34],[4,18,26,32],[5,14,20,33],[6,15,19,30],[7,12,22,31],[8,13,23,27],[9,16,21,28],[10,11,25,29]]; RG[96][1]:=Group([(3,4)(5,15)(6,16)(7,11)(8,10)(9,12)(13,14),(1,2)(5,13)(6,8)(7,9)(10,16)(11,12)(14,15),(1,3)(2,4)(5,14)(6,7)(8,11)(9,16)(10,12)]); # Design 97: 3 resolution(s), autom. group order 8, decomposable D[97]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,15],[2,5,8,10],[2,6,12,13],[2,6,13,16],[2,7,9,14],[2,8,10,14],[2,9,11,16],[2,11,12,15],[3,5,12,14],[3,5,14,16],[3,6,7,11],[3,6,8,15],[3,7,11,13],[3,8,9,13],[3,9,10,16],[3,10,12,15],[4,5,9,12],[4,5,11,16],[4,6,9,12],[4,6,10,16],[4,7,10,15],[4,7,13,14],[4,8,11,15],[4,8,13,14],[5,9,13,15],[5,10,11,13],[6,9,14,15],[6,10,11,14],[7,8,12,16],[7,8,12,16]]; G[97]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,2)(3,4)(5,13)(7,12)(8,16)(9,11)(10,15)]); R[97]:=[]; RG[97]:=[]; # Design 97 / Resolution 1: autom. group order 8, decomposable R[97][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,13,20,33],[6,14,19,31],[7,15,22,28],[8,11,24,30],[9,16,21,27],[10,12,23,29]]; RG[97][1]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,4)(5,14)(6,13)(9,15)(12,16),(1,2)(3,4)(5,13)(7,12)(8,16)(9,11)(10,15)]); # Design 97 / Resolution 2: autom. group order 4 R[97][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,15,22,28],[8,11,24,30],[9,16,21,27],[10,12,23,29]]; RG[97][2]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,4)(5,14)(6,13)(9,15)(12,16)]); # Design 97 / Resolution 3: autom. group order 8 R[97][3]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,15,22,28],[8,11,24,30],[9,16,21,27],[10,12,23,29]]; RG[97][3]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,4)(5,14)(6,13)(9,15)(12,16),(1,2)(3,4)(5,13)(7,12)(8,16)(9,11)(10,15)]); # Design 98: 2 resolution(s), autom. group order 8, decomposable D[98]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,12],[2,5,8,15],[2,6,10,14],[2,6,14,15],[2,7,9,13],[2,8,10,13],[2,9,11,16],[2,11,12,16],[3,5,11,13],[3,5,13,16],[3,6,7,16],[3,6,8,12],[3,7,11,14],[3,8,9,14],[3,9,10,15],[3,10,12,15],[4,5,9,15],[4,5,10,11],[4,6,9,16],[4,6,10,11],[4,7,12,15],[4,7,13,14],[4,8,12,16],[4,8,13,14],[5,9,12,14],[5,10,14,16],[6,9,12,13],[6,11,13,15],[7,8,10,16],[7,8,11,15]]; G[98]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14)(15,16),(1,2)(3,4)(5,11)(6,16)(7,9)(8,12)(10,13)(14,15)]); R[98]:=[]; RG[98]:=[]; # Design 98 / Resolution 1: autom. group order 8 R[98][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,12,23,29],[8,16,21,27],[9,11,24,30],[10,15,22,28]]; RG[98][1]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14)(15,16),(1,4)(5,13)(6,14)(9,12)(10,15)(11,16),(1,2)(3,4)(5,11)(6,16)(7,9)(8,12)(10,13)(14,15)]); # Design 98 / Resolution 2: autom. group order 8, decomposable R[98][2]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,14,19,33],[6,13,20,31],[7,12,23,29],[8,16,21,27],[9,11,24,30],[10,15,22,28]]; RG[98][2]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14)(15,16),(1,4)(5,13)(6,14)(9,12)(10,15)(11,16),(1,2)(3,4)(5,11)(6,16)(7,9)(8,12)(10,13)(14,15)]); # Design 99: 1 resolution(s), autom. group order 8 D[99]:=[[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],[3,7,11,12],[3,8,9,10],[3,9,13,15],[3,11,13,14],[4,5,10,14],[4,5,12,15],[4,6,9,14],[4,6,11,15],[4,7,10,11],[4,7,13,16],[4,8,9,12],[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[99]:=Group([(7,8)(9,11)(10,12)(14,15),(1,2)(3,4)(6,13)(10,12)(14,15),(1,3)(2,4)(5,16)(9,11)(10,12)]); R[99]:=[]; RG[99]:=[]; # Design 99 / Resolution 1: autom. group order 8 R[99][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,31],[5,14,20,34],[6,13,19,32],[7,16,21,28],[8,12,23,29],[9,15,22,27],[10,11,24,30]]; RG[99][1]:=Group([(7,8)(9,11)(10,12)(14,15),(1,2)(3,4)(6,13)(10,12)(14,15),(1,4)(2,3)(5,16)(6,13)(9,11)(14,15)]); # Design 100: 2 resolution(s), autom. group order 8 D[100]:=[[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],[2,5,7,16],[2,5,9,15],[2,6,11,15],[2,6,12,14],[2,7,8,11],[2,8,13,14],[2,9,10,12],[2,10,13,16],[3,5,8,13],[3,5,12,15],[3,6,9,14],[3,6,10,15],[3,7,8,10],[3,7,14,16],[3,9,11,12],[3,11,13,16],[4,5,9,13],[4,5,12,16],[4,6,10,13],[4,6,11,16],[4,7,9,11],[4,7,14,15],[4,8,10,12],[4,8,14,15],[5,10,11,14],[5,10,11,14],[6,7,12,13],[6,8,9,16],[7,12,13,15],[8,9,15,16]]; G[100]:=Group([(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,14)(6,15)(7,8)(9,12)(13,16),(1,5)(2,10)(3,11)(4,14)(9,16)(12,13)]); R[100]:=[]; RG[100]:=[]; # Design 100 / Resolution 1: autom. group order 4 R[100][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,11,21,33],[10,13,23,27]]; RG[100][1]:=Group([(1,4)(5,14)(6,15)(7,8)(9,12)(13,16),(2,3)(7,8)(9,12)(10,11)(13,16)]); # Design 100 / Resolution 2: autom. group order 4 R[100][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,11,21,33],[10,13,23,27]]; RG[100][2]:=Group([(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,14)(6,15)(7,8)(9,12)(13,16)]); # Design 101: 1 resolution(s), autom. group order 8 D[101]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,13],[2,5,8,14],[2,6,9,10],[2,6,13,15],[2,7,9,11],[2,7,14,15],[2,10,12,16],[2,11,12,16],[3,5,10,16],[3,5,11,16],[3,6,8,12],[3,6,11,15],[3,7,8,12],[3,7,10,15],[3,9,13,14],[3,9,13,14],[4,5,10,14],[4,5,11,13],[4,6,9,16],[4,6,12,13],[4,7,9,16],[4,7,12,14],[4,8,10,15],[4,8,11,15],[5,9,12,15],[5,9,12,15],[6,8,14,16],[6,10,11,14],[7,8,13,16],[7,10,11,13]]; G[101]:=Group([(6,7)(10,11)(13,14),(1,3)(2,4)(5,9)(6,13)(7,14)(8,16)(10,11)(12,15),(1,5)(2,15)(3,9)(4,12)(8,16)(10,11)]); R[101]:=[]; RG[101]:=[]; # Design 101 / Resolution 1: autom. group order 4 R[101][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,16,20,30],[6,14,19,32],[7,12,22,31],[8,11,24,29],[9,15,21,27],[10,13,23,28]]; RG[101][1]:=Group([(6,7)(10,11)(13,14),(1,5)(2,15)(3,9)(4,12)(8,16)(10,11)]); # Design 102: 1 resolution(s), autom. group order 8 D[102]:=[[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],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,11],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[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[102]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(12,15)(13,14),(1,2)(3,4)(6,11)(10,16)(12,15)]); R[102]:=[]; RG[102]:=[]; # Design 102 / Resolution 1: autom. group order 8 R[102][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,15,22,28],[8,16,21,27],[9,12,23,30],[10,11,24,29]]; RG[102][1]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(12,15)(13,14),(1,2)(3,4)(6,11)(10,16)(12,15)]); # Design 103: 1 resolution(s), autom. group order 8, simple D[103]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,13,16],[1,14,15,16],[2,4,9,14],[2,5,7,11],[2,6,9,15],[2,6,10,16],[2,7,8,16],[2,8,12,14],[2,10,11,13],[2,12,13,15],[3,4,8,10],[3,5,13,15],[3,6,9,12],[3,6,11,12],[3,7,8,15],[3,7,13,16],[3,9,14,16],[3,10,11,14],[4,5,9,13],[4,5,12,14],[4,6,11,16],[4,7,12,15],[4,8,10,13],[4,11,15,16],[5,6,10,15],[5,7,11,14],[5,8,9,16],[5,10,12,16],[6,7,13,14],[6,8,13,14],[7,9,10,12],[8,9,11,15]]; G[103]:=Group([(1,3,6,14)(2,12,13,15)(4,11,7,10)(5,9,8,16),(1,4,6,7)(2,16,13,9)(3,11,14,10)(5,15,8,12)]); R[103]:=[]; RG[103]:=[]; # Design 103 / Resolution 1: autom. group order 8 R[103][1]:=[[1,36,37,40],[2,32,38,39],[3,18,26,35],[4,17,25,30],[5,16,20,29],[6,11,24,33],[7,14,23,28],[8,15,22,27],[9,13,19,34],[10,12,21,31]]; RG[103][1]:=Group([(1,11)(2,5)(3,7)(4,14)(6,10)(8,13)(9,12)(15,16),(1,4,6,7)(2,16,13,9)(3,11,14,10)(5,15,8,12)]); # Design 104: 1 resolution(s), autom. group order 8, decomposable D[104]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,15],[2,5,13,15],[2,6,8,16],[2,6,14,16],[2,7,11,12],[2,8,10,12],[2,9,10,14],[2,9,11,13],[3,5,11,14],[3,5,12,13],[3,6,7,11],[3,6,9,13],[3,7,10,16],[3,8,9,16],[3,8,12,15],[3,10,14,15],[4,5,8,10],[4,5,9,14],[4,6,10,13],[4,6,12,14],[4,7,9,15],[4,7,12,16],[4,8,11,15],[4,11,13,16],[5,9,12,16],[5,10,11,16],[6,9,12,15],[6,10,11,15],[7,8,13,14],[7,8,13,14]]; G[104]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,6)(7,8)(10,11)(13,14)(15,16),(1,2)(5,6,16,15)(7,8,14,13)(9,10,12,11)]); R[104]:=[]; RG[104]:=[]; # Design 104 / Resolution 1: autom. group order 8, decomposable R[104][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,32],[5,14,20,33],[6,12,23,30],[7,13,19,31],[8,11,24,29],[9,16,21,28],[10,15,22,27]]; RG[104][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,15)(6,16)(7,13)(8,14)(9,12),(1,2)(5,15,16,6)(7,13,14,8)(9,11,12,10)]); # Design 105: 1 resolution(s), autom. group order 8, decomposable D[105]:=[[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],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,7,14],[2,5,8,13],[2,6,11,12],[2,6,11,14],[2,7,9,15],[2,8,9,13],[2,10,12,16],[2,10,15,16],[3,5,10,14],[3,5,13,15],[3,6,7,16],[3,6,9,12],[3,7,8,16],[3,8,10,11],[3,9,12,14],[3,11,13,15],[4,5,10,12],[4,5,12,15],[4,6,9,15],[4,6,13,16],[4,7,10,11],[4,7,11,13],[4,8,9,14],[4,8,14,16],[5,9,11,16],[5,9,11,16],[6,8,10,15],[6,10,13,14],[7,8,12,15],[7,12,13,14]]; G[105]:=Group([(3,4)(5,9)(6,10)(8,13)(11,16)(14,15),(1,2)(5,11)(7,12)(8,14)(9,16)(13,15),(1,3)(2,4)(5,16)(6,7)(10,12)(13,14)]); R[105]:=[]; RG[105]:=[]; # Design 105 / Resolution 1: autom. group order 8, decomposable R[105][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,32],[5,13,20,34],[6,15,19,30],[7,14,23,28],[8,16,21,27],[9,11,24,29],[10,12,22,31]]; RG[105][1]:=Group([(1,4)(2,3)(6,12)(7,10)(8,15)(9,11),(1,3)(2,4)(5,16)(6,7)(10,12)(13,14),(3,4)(5,9)(6,10)(8,13)(11,16)(14,15)]); # Design 106: 1 resolution(s), autom. group order 8, decomposable D[106]:=[[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],[2,5,8,12],[2,6,11,14],[2,6,13,15],[2,7,9,16],[2,7,10,15],[2,9,13,16],[2,10,12,14],[3,5,12,16],[3,5,13,15],[3,6,8,14],[3,6,8,16],[3,7,9,11],[3,7,10,13],[3,9,11,15],[3,10,12,14],[4,5,9,14],[4,5,10,15],[4,6,9,12],[4,6,10,13],[4,7,11,14],[4,7,12,16],[4,8,11,15],[4,8,13,16],[5,9,13,14],[5,10,11,16],[6,9,12,15],[6,10,11,16],[7,8,12,15],[7,8,13,14]]; G[106]:=Group([(2,3)(5,6)(11,16)(12,14)(13,15),(2,5)(3,6)(4,7)(11,12)(14,16),(2,11,6,14)(3,12,5,16)(4,13,7,15)(8,10)]); R[106]:=[]; RG[106]:=[]; # Design 106 / Resolution 1: autom. group order 8, decomposable R[106][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,33],[4,18,25,34],[5,13,20,32],[6,14,19,31],[7,15,21,28],[8,16,22,27],[9,11,24,29],[10,12,23,30]]; RG[106][1]:=Group([(2,5)(3,6)(4,7)(11,12)(14,16),(2,6)(3,5)(4,7)(11,14)(12,16)(13,15),(2,12)(3,11)(4,13)(5,14)(6,16)(7,15)(8,10)]); # Design 107: 1 resolution(s), autom. group order 8, decomposable D[107]:=[[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],[2,5,7,13],[2,5,9,11],[2,6,8,14],[2,6,9,11],[2,7,13,15],[2,8,14,16],[2,10,12,15],[2,10,12,16],[3,5,10,14],[3,5,12,15],[3,6,9,16],[3,6,12,13],[3,7,8,10],[3,7,11,16],[3,8,9,15],[3,11,13,14],[4,5,10,14],[4,5,11,15],[4,6,10,16],[4,6,12,13],[4,7,8,12],[4,7,11,16],[4,8,9,15],[4,9,13,14],[5,8,13,16],[5,9,12,16],[6,7,14,15],[6,10,11,15],[7,9,12,14],[8,10,11,13]]; G[107]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,6)(7,8)(9,11)(10,12)(13,14)(15,16),(1,2)(5,8,16,13)(6,14,15,7)(9,11,12,10)]); R[107]:=[]; RG[107]:=[]; # Design 107 / Resolution 1: autom. group order 8, decomposable R[107][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,24,34],[5,16,22,28],[6,15,21,27],[7,13,20,32],[8,11,25,29],[9,14,19,31],[10,12,23,30]]; RG[107][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(1,2)(5,13,16,8)(6,7,15,14)(9,10,12,11),(3,4)(5,6)(7,8)(9,11)(10,12)(13,14)(15,16)]); # Design 108: 3 resolution(s), autom. group order 8, decomposable D[108]:=[[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],[2,5,7,14],[2,5,8,16],[2,6,10,15],[2,6,15,16],[2,7,9,12],[2,8,9,12],[2,10,11,13],[2,11,13,14],[3,5,11,12],[3,5,12,14],[3,6,7,13],[3,6,8,13],[3,7,11,15],[3,8,10,15],[3,9,10,16],[3,9,14,16],[4,5,10,11],[4,5,10,16],[4,6,9,11],[4,6,9,14],[4,7,12,15],[4,7,13,16],[4,8,12,15],[4,8,13,14],[5,9,13,15],[5,9,13,15],[6,10,12,14],[6,11,12,16],[7,8,10,14],[7,8,11,16]]; G[108]:=Group([(1,2)(3,4)(5,9)(6,12)(7,8)(10,16)(11,14)(13,15),(1,3)(2,4)(5,13)(9,15)(10,11)(14,16),(1,5)(2,9)(3,13)(4,15)(10,14)(11,16)]); R[108]:=[]; RG[108]:=[]; # Design 108 / Resolution 1: autom. group order 8, decomposable R[108][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,33],[4,17,26,31],[5,14,19,34],[6,13,20,32],[7,12,23,30],[8,16,21,28],[9,11,24,29],[10,15,22,27]]; RG[108][1]:=Group([(1,4)(2,3)(5,15)(6,12)(7,8)(9,13)(10,14)(11,16),(1,3)(2,4)(5,13)(9,15)(10,11)(14,16),(1,13)(2,15)(3,5)(4,9)(10,16)(11,14)]); # Design 108 / Resolution 2: autom. group order 4 R[108][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,31],[5,14,19,34],[6,13,20,32],[7,12,23,30],[8,16,21,28],[9,11,24,29],[10,15,22,27]]; RG[108][2]:=Group([(1,4)(2,3)(5,15)(6,12)(7,8)(9,13)(10,14)(11,16),(1,5)(2,9)(3,13)(4,15)(10,14)(11,16)]); # Design 108 / Resolution 3: autom. group order 8 R[108][3]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,31],[5,14,19,34],[6,13,20,32],[7,12,23,30],[8,15,22,28],[9,11,24,29],[10,16,21,27]]; RG[108][3]:=Group([(1,4)(2,3)(5,15)(6,12)(7,8)(9,13)(10,14)(11,16),(1,3)(2,4)(5,13)(9,15)(10,11)(14,16),(1,13)(2,15)(3,5)(4,9)(10,16)(11,14)]); # Design 109: 6 resolution(s), autom. group order 8, simple, decomposable D[109]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,11],[1,10,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,4,8,15],[2,5,8,16],[2,6,12,13],[2,6,12,14],[2,7,9,10],[2,7,9,11],[2,10,14,15],[2,11,13,16],[3,4,10,16],[3,5,11,15],[3,6,8,13],[3,6,8,14],[3,7,10,13],[3,7,11,14],[3,9,12,15],[3,9,12,16],[4,5,10,12],[4,5,11,12],[4,6,9,15],[4,7,14,16],[4,8,11,13],[4,9,13,14],[5,6,9,16],[5,7,13,15],[5,8,10,14],[5,9,13,14],[6,10,11,15],[6,10,11,16],[7,8,12,15],[7,8,12,16]]; G[109]:=Group([(4,5)(10,11)(13,14)(15,16),(1,6,12,9)(2,3,8,7)(4,13,15,10)(5,14,16,11)]); R[109]:=[]; RG[109]:=[]; # Design 109 / Resolution 1: autom. group order 4 R[109][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,13,20,30],[6,14,19,34],[7,11,24,33],[8,12,23,29],[9,16,22,27],[10,15,21,28]]; RG[109][1]:=Group([(4,5)(10,11)(13,14)(15,16),(1,12)(2,8)(3,7)(4,15)(5,16)(6,9)(10,13)(11,14)]); # Design 109 / Resolution 2: autom. group order 8, decomposable R[109][2]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,13,20,30],[6,14,19,34],[7,11,24,33],[8,12,23,29],[9,16,22,27],[10,15,21,28]]; RG[109][2]:=Group([(4,5)(10,11)(13,14)(15,16),(1,9,12,6)(2,7,8,3)(4,11,15,14)(5,10,16,13)]); # Design 109 / Resolution 3: autom. group order 8 R[109][3]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,13,20,30],[6,14,19,34],[7,11,24,33],[8,12,23,29],[9,15,22,28],[10,16,21,27]]; RG[109][3]:=Group([(4,5)(10,11)(13,14)(15,16),(1,9,12,6)(2,7,8,3)(4,10,15,13)(5,11,16,14)]); # Design 109 / Resolution 4: autom. group order 4 R[109][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,13,20,30],[6,14,19,34],[7,12,24,29],[8,11,23,33],[9,16,22,27],[10,15,21,28]]; RG[109][4]:=Group([(4,5)(10,11)(13,14)(15,16),(1,12)(2,8)(3,7)(4,15)(5,16)(6,9)(10,13)(11,14)]); # Design 109 / Resolution 5: autom. group order 8 R[109][5]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,31],[5,13,20,30],[6,14,19,34],[7,12,24,29],[8,11,23,33],[9,16,22,27],[10,15,21,28]]; RG[109][5]:=Group([(4,5)(10,11)(13,14)(15,16),(1,9,12,6)(2,7,8,3)(4,11,15,14)(5,10,16,13)]); # Design 109 / Resolution 6: autom. group order 8 R[109][6]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,31],[5,13,20,30],[6,14,19,34],[7,12,24,29],[8,11,23,33],[9,15,22,28],[10,16,21,27]]; RG[109][6]:=Group([(4,5)(10,11)(13,14)(15,16),(1,9,12,6)(2,7,8,3)(4,10,15,13)(5,11,16,14)]); # Design 110: 1 resolution(s), autom. group order 8 D[110]:=[[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],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,7,16],[2,5,11,14],[2,6,8,9],[2,6,10,15],[2,7,13,15],[2,8,9,14],[2,10,12,16],[2,11,12,13],[3,5,8,13],[3,5,10,14],[3,6,7,12],[3,6,11,15],[3,7,12,14],[3,8,15,16],[3,9,10,16],[3,9,11,13],[4,5,10,13],[4,5,11,16],[4,6,9,16],[4,6,12,13],[4,7,9,11],[4,7,14,15],[4,8,10,12],[4,8,14,15],[5,9,12,15],[5,9,12,15],[6,10,11,14],[6,13,14,16],[7,8,10,11],[7,8,13,16]]; G[110]:=Group([(2,3)(7,8)(9,12)(10,11)(13,16),(1,4)(5,15)(6,14)(10,11)(13,16),(1,5)(2,9)(3,12)(4,15)(10,16)(11,13)]); R[110]:=[]; RG[110]:=[]; # Design 110 / Resolution 1: autom. group order 2 R[110][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,12,24,30],[6,15,20,29],[7,11,22,33],[8,16,21,28],[9,13,23,27],[10,14,19,31]]; RG[110][1]:=Group([(1,5)(2,12)(3,9)(4,15)(7,8)(10,13)(11,16)]); # Design 111: 2 resolution(s), autom. group order 8, decomposable D[111]:=[[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],[2,5,7,11],[2,5,9,15],[2,6,8,10],[2,6,12,13],[2,7,12,13],[2,8,9,15],[2,10,14,16],[2,11,14,16],[3,5,8,14],[3,5,14,15],[3,6,7,16],[3,6,13,16],[3,7,11,15],[3,8,10,13],[3,9,10,12],[3,9,11,12],[4,5,10,12],[4,5,12,16],[4,6,9,11],[4,6,9,14],[4,7,10,14],[4,7,13,15],[4,8,11,16],[4,8,13,15],[5,9,13,16],[5,10,11,13],[6,10,11,15],[6,12,14,15],[7,8,9,16],[7,8,12,14]]; G[111]:=Group([(5,6)(7,8)(9,12)(10,11)(13,15)(14,16),(1,2,4,3)(5,14,13,12)(6,16,15,9)(7,10,8,11)]); R[111]:=[]; RG[111]:=[]; # Design 111 / Resolution 1: autom. group order 8, decomposable R[111][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],[7,13,23,28],[8,15,19,29],[9,16,21,27],[10,11,24,30]]; RG[111][1]:=Group([(5,6)(7,8)(9,12)(10,11)(13,15)(14,16),(1,4)(2,3)(5,13)(6,15)(7,8)(9,16)(10,11)(12,14),(1,2,4,3)(5,16,13,9)(6,14,15,12)(7,11,8,10)]); # Design 111 / Resolution 2: autom. group order 8 R[111][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],[7,13,23,28],[8,15,19,29],[9,16,21,27],[10,11,24,30]]; RG[111][2]:=Group([(5,6)(7,8)(9,12)(10,11)(13,15)(14,16),(1,4)(2,3)(5,13)(6,15)(7,8)(9,16)(10,11)(12,14),(1,2,4,3)(5,16,13,9)(6,14,15,12)(7,11,8,10)]); # Design 112: 1 resolution(s), autom. group order 8, decomposable D[112]:=[[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],[2,5,13,14],[2,6,9,13],[2,6,10,12],[2,7,8,15],[2,8,12,16],[2,9,11,16],[2,10,14,15],[3,5,8,9],[3,5,13,14],[3,6,10,12],[3,6,11,14],[3,7,8,15],[3,7,10,16],[3,9,11,16],[3,12,13,15],[4,5,10,16],[4,5,12,16],[4,6,9,15],[4,6,11,15],[4,7,11,13],[4,7,12,13],[4,8,9,14],[4,8,10,14],[5,9,12,15],[5,10,11,15],[6,7,14,16],[6,8,13,16],[7,9,12,14],[8,10,11,13]]; G[112]:=Group([(5,15)(6,16)(7,14)(8,13)(9,12)(10,11),(2,3)(7,8)(9,11)(10,12)(13,14),(1,4)(5,6,15,16)(7,9,14,12)(8,11,13,10)]); R[112]:=[]; RG[112]:=[]; # Design 112 / Resolution 1: autom. group order 8, decomposable R[112][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,13,23,27],[9,11,21,33],[10,14,19,31]]; RG[112][1]:=Group([(5,15)(6,16)(7,14)(8,13)(9,12)(10,11),(2,3)(5,15)(6,16)(7,13)(8,14)(9,10)(11,12),(1,4)(5,16,15,6)(7,12,14,9)(8,10,13,11)]); # Design 113: 14 resolution(s), autom. group order 8, decomposable D[113]:=[[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],[2,5,9,16],[2,6,10,16],[2,6,11,13],[2,7,8,10],[2,8,13,14],[2,9,12,15],[2,12,14,15],[3,5,8,14],[3,5,15,16],[3,6,9,13],[3,6,12,16],[3,7,8,12],[3,7,13,15],[3,9,10,11],[3,10,11,14],[4,5,9,14],[4,5,11,15],[4,6,10,14],[4,6,11,12],[4,7,9,12],[4,7,13,16],[4,8,10,15],[4,8,13,16],[5,10,12,13],[5,10,12,13],[6,7,14,15],[6,8,9,15],[7,11,14,16],[8,9,11,16]]; G[113]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,3)(2,4)(5,10)(6,11)(7,14)(8,9)(12,13)(15,16),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); R[113]:=[]; RG[113]:=[]; # Design 113 / Resolution 1: autom. group order 8, decomposable R[113][1]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[113][1]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,4)(2,3)(5,13)(6,16)(10,12)(11,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 2: autom. group order 8 R[113][2]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,15,22,28],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[113][2]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,4)(2,3)(5,13)(6,16)(10,12)(11,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 3: autom. group order 8 R[113][3]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,13,23,28],[8,14,19,31],[9,15,22,27],[10,11,21,33]]; RG[113][3]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,3)(2,4)(5,10)(6,11)(7,14)(8,9)(12,13)(15,16),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 4: autom. group order 8 R[113][4]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,13,23,28],[8,14,19,31],[9,15,22,27],[10,11,21,33]]; RG[113][4]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,3)(2,4)(5,10)(6,11)(7,14)(8,9)(12,13)(15,16),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 5: autom. group order 4 R[113][5]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,22,28],[6,12,24,29],[7,15,20,30],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[113][5]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15)]); # Design 113 / Resolution 6: autom. group order 4 R[113][6]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,22,28],[6,12,24,29],[7,15,20,30],[8,14,19,31],[9,13,23,27],[10,11,21,33]]; RG[113][6]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15)]); # Design 113 / Resolution 7: autom. group order 4 R[113][7]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,13,24,27],[7,15,22,28],[8,14,19,31],[9,12,23,29],[10,11,21,33]]; RG[113][7]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,10)(2,13)(3,5)(4,12)(6,11)(7,9)(8,14)(15,16)]); # Design 113 / Resolution 8: autom. group order 4 R[113][8]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,13,24,27],[7,15,22,28],[8,14,19,31],[9,12,23,29],[10,11,21,33]]; RG[113][8]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,10)(2,13)(3,5)(4,12)(6,11)(7,9)(8,14)(15,16)]); # Design 113 / Resolution 9: autom. group order 8 R[113][9]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,22,28],[6,12,24,29],[7,15,20,30],[8,14,23,27],[9,13,19,31],[10,11,21,33]]; RG[113][9]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,4)(2,3)(5,13)(6,16)(10,12)(11,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 10: autom. group order 8 R[113][10]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,22,28],[6,12,24,29],[7,15,20,30],[8,14,23,27],[9,13,19,31],[10,11,21,33]]; RG[113][10]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,4)(2,3)(5,13)(6,16)(10,12)(11,15),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 11: autom. group order 8 R[113][11]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,13,24,27],[7,11,22,33],[8,14,19,31],[9,12,23,29],[10,15,21,28]]; RG[113][11]:=Group([(1,3)(2,4)(5,10)(6,11)(7,14)(8,9)(12,13)(15,16),(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 12: autom. group order 8 R[113][12]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,13,24,27],[7,11,22,33],[8,14,19,31],[9,12,23,29],[10,15,21,28]]; RG[113][12]:=Group([(1,3)(2,4)(5,10)(6,11)(7,14)(8,9)(12,13)(15,16),(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,5)(2,12)(3,10)(4,13)(7,8)(9,14)]); # Design 113 / Resolution 13: autom. group order 4 R[113][13]:=[[1,35,37,40],[2,36,38,39],[3,18,25,34],[4,17,26,32],[5,16,20,30],[6,12,24,29],[7,11,22,33],[8,14,23,27],[9,13,19,31],[10,15,21,28]]; RG[113][13]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,13)(2,10)(3,12)(4,5)(6,16)(7,8)(9,14)(11,15)]); # Design 113 / Resolution 14: autom. group order 4 R[113][14]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,32],[5,16,20,30],[6,12,24,29],[7,11,22,33],[8,14,23,27],[9,13,19,31],[10,15,21,28]]; RG[113][14]:=Group([(1,2)(3,4)(5,12)(6,15)(7,14)(8,9)(10,13)(11,16),(1,10)(2,13)(3,5)(4,12)(6,11)(7,9)(8,14)(15,16)]); # Design 114: 3 resolution(s), autom. group order 8, decomposable D[114]:=[[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],[2,5,8,11],[2,6,13,15],[2,6,14,15],[2,7,9,13],[2,8,10,14],[2,9,12,16],[2,10,12,16],[3,5,12,13],[3,5,12,14],[3,6,7,16],[3,6,8,16],[3,7,10,14],[3,8,9,13],[3,9,11,15],[3,10,11,15],[4,5,9,15],[4,5,10,15],[4,6,9,12],[4,6,10,12],[4,7,11,16],[4,7,13,14],[4,8,11,16],[4,8,13,14],[5,9,14,16],[5,10,13,16],[6,9,11,14],[6,10,11,13],[7,8,12,15],[7,8,12,15]]; G[114]:=Group([(7,8)(9,10)(13,14),(2,3)(5,6)(9,10)(11,16)(12,15)(13,14),(1,4)(5,11)(6,16)(9,13)(10,14)(12,15)]); R[114]:=[]; RG[114]:=[]; # Design 114 / Resolution 1: autom. group order 8, decomposable R[114][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,13,20,33],[6,14,19,31],[7,16,21,27],[8,15,22,28],[9,12,23,29],[10,11,24,30]]; RG[114][1]:=Group([(7,8)(9,10)(13,14),(1,4)(5,11)(6,16)(7,8)(9,14)(10,13)(12,15),(2,3)(5,6)(7,8)(11,16)(12,15)]); # Design 114 / Resolution 2: autom. group order 4 R[114][2]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,16,21,27],[8,15,22,28],[9,12,23,29],[10,11,24,30]]; RG[114][2]:=Group([(7,8)(9,10)(13,14),(2,3)(5,6)(7,8)(11,16)(12,15)]); # Design 114 / Resolution 3: autom. group order 8 R[114][3]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,16,21,27],[8,15,22,28],[9,12,23,29],[10,11,24,30]]; RG[114][3]:=Group([(7,8)(9,10)(13,14),(1,4)(5,11)(6,16)(7,8)(9,14)(10,13)(12,15),(2,3)(5,6)(7,8)(11,16)(12,15)]); # Design 115: 4 resolution(s), autom. group order 8, simple D[115]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[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],[2,4,9,14],[2,5,7,15],[2,6,11,13],[2,6,12,14],[2,7,8,12],[2,8,13,16],[2,9,10,16],[2,10,11,15],[3,4,8,16],[3,5,11,14],[3,6,9,13],[3,6,10,14],[3,7,8,10],[3,7,13,15],[3,9,12,16],[3,11,12,15],[4,5,9,11],[4,5,15,16],[4,6,12,15],[4,7,13,14],[4,8,10,11],[4,10,12,13],[5,6,10,16],[5,7,9,12],[5,8,13,14],[5,10,12,13],[6,7,11,16],[6,8,9,15],[7,11,14,16],[8,9,14,15]]; G[115]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(15,16),(1,7,13,8)(2,11,10,15)(3,16,12,9)(4,14,5,6)]); R[115]:=[]; RG[115]:=[]; # Design 115 / Resolution 1: autom. group order 4 R[115][1]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,14,23,28],[8,13,19,34],[9,12,21,31],[10,15,22,27]]; RG[115][1]:=Group([(1,13)(2,10)(3,12)(4,5)(6,14)(7,8)(9,16)(11,15),(1,7)(2,16)(3,11)(4,6)(5,14)(8,13)(9,10)(12,15)]); # Design 115 / Resolution 2: autom. group order 4 R[115][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],[7,14,23,28],[8,13,19,34],[9,12,21,31],[10,15,22,27]]; RG[115][2]:=Group([(1,13)(2,10)(3,12)(4,5)(6,14)(7,8)(9,16)(11,15),(1,7)(2,16)(3,11)(4,6)(5,14)(8,13)(9,10)(12,15)]); # Design 115 / Resolution 3: autom. group order 4 R[115][3]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,13,19,34],[9,12,21,31],[10,14,23,27]]; RG[115][3]:=Group([(1,13)(2,10)(3,12)(4,5)(6,14)(7,8)(9,16)(11,15),(1,7)(2,16)(3,11)(4,6)(5,14)(8,13)(9,10)(12,15)]); # Design 115 / Resolution 4: autom. group order 4 R[115][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,15,22,28],[8,13,19,34],[9,12,21,31],[10,14,23,27]]; RG[115][4]:=Group([(1,13)(2,10)(3,12)(4,5)(6,14)(7,8)(9,16)(11,15),(1,7)(2,16)(3,11)(4,6)(5,14)(8,13)(9,10)(12,15)]); # Design 116: 1 resolution(s), autom. group order 8 D[116]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,8,10],[1,7,11,12],[1,9,10,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,6,14],[2,5,7,15],[2,6,8,11],[2,7,12,16],[2,8,9,16],[2,9,10,14],[2,10,12,13],[2,11,13,15],[3,5,9,13],[3,5,12,14],[3,6,7,10],[3,6,13,16],[3,7,9,11],[3,8,11,12],[3,8,15,16],[3,10,14,15],[4,5,8,15],[4,5,12,13],[4,6,11,13],[4,6,14,16],[4,7,9,16],[4,7,10,15],[4,8,10,12],[4,9,11,14],[5,10,11,16],[5,10,11,16],[6,9,12,15],[6,9,12,15],[7,8,13,14],[7,8,13,14]]; G[116]:=Group([(5,10)(6,9)(7,13)(11,16)(12,15),(2,3)(5,11)(6,12)(8,14)(9,15)(10,16),(1,4)(5,11)(7,13)(8,14)(10,16)]); R[116]:=[]; RG[116]:=[]; # Design 116 / Resolution 1: autom. group order 8 R[116][1]:=[[1,35,37,39],[2,36,38,40],[3,17,25,34],[4,14,26,29],[5,18,20,31],[6,16,22,27],[7,12,24,30],[8,15,21,28],[9,13,19,32],[10,11,23,33]]; RG[116][1]:=Group([(1,4)(2,3)(6,12)(7,13)(9,15),(1,4)(5,11)(7,13)(8,14)(10,16),(1,4)(5,16)(6,9)(8,14)(10,11)(12,15)]); # Design 117: 1 resolution(s), autom. group order 8 D[117]:=[[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],[2,6,14,16],[2,7,9,15],[2,8,9,11],[2,10,12,14],[2,10,13,16],[3,5,10,14],[3,5,11,13],[3,6,7,12],[3,6,9,14],[3,7,10,16],[3,8,11,16],[3,8,12,15],[3,9,13,15],[4,5,10,13],[4,5,14,15],[4,6,8,16],[4,6,9,13],[4,7,11,16],[4,7,12,15],[4,8,10,12],[4,9,11,14],[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[117]:=Group([(5,9)(6,10)(11,15)(12,16),(5,12)(6,11)(7,13)(8,14)(9,16)(10,15),(3,4)(7,8)(11,15)(12,16)(13,14)]); R[117]:=[]; RG[117]:=[]; # Design 117 / Resolution 1: autom. group order 8 R[117][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,31],[5,13,24,28],[6,14,20,32],[7,15,19,29],[8,12,23,30],[9,11,22,33],[10,16,21,27]]; RG[117][1]:=Group([(3,4)(7,8)(11,15)(12,16)(13,14),(5,16)(6,15)(7,13)(8,14)(9,12)(10,11)]); # Design 118: 1 resolution(s), autom. group order 8 D[118]:=[[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],[2,6,12,14],[2,6,13,15],[2,7,9,11],[2,8,9,10],[2,10,14,15],[2,11,12,13],[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],[4,5,10,12],[4,5,11,15],[4,6,9,12],[4,6,9,15],[4,7,10,14],[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[118]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(6,16)(10,11),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)(10,11)(13,14)]); R[118]:=[]; RG[118]:=[]; # Design 118 / Resolution 1: autom. group order 8 R[118][1]:=[[1,35,37,39],[2,36,38,40],[3,17,25,33],[4,18,26,31],[5,14,20,34],[6,13,19,32],[7,12,23,30],[8,11,24,29],[9,16,21,28],[10,15,22,27]]; RG[118][1]:=Group([(1,2)(3,4)(6,16)(10,11),(7,8)(10,11)(12,15)(13,14),(1,4)(2,3)(5,9)(7,15)(8,12)(10,11)]); # Design 119: 1 resolution(s), autom. group order 8 D[119]:=[[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],[2,6,12,14],[2,6,13,15],[2,7,9,11],[2,8,9,10],[2,10,14,15],[2,11,12,13],[3,5,10,12],[3,5,11,15],[3,6,7,14],[3,6,8,13],[3,7,10,13],[3,8,11,14],[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[119]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(6,16)(10,11),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)]); R[119]:=[]; RG[119]:=[]; # Design 119 / Resolution 1: autom. group order 8 R[119][1]:=[[1,35,37,39],[2,36,38,40],[3,18,26,33],[4,17,25,31],[5,13,20,34],[6,14,19,32],[7,11,24,30],[8,12,23,29],[9,15,22,27],[10,16,21,28]]; RG[119][1]:=Group([(1,2)(3,4)(6,16)(10,11),(1,3)(2,4)(5,9)(6,16)(7,15)(8,12)(10,11)(13,14),(1,3)(2,4)(5,9)(6,16)(7,12)(8,15)]); # Design 120: 1 resolution(s), autom. group order 8 D[120]:=[[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],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,5,7,14],[2,5,8,14],[2,6,9,13],[2,6,11,16],[2,7,9,12],[2,8,10,11],[2,10,15,16],[2,12,13,15],[3,5,10,16],[3,5,12,13],[3,6,7,15],[3,6,8,15],[3,7,11,12],[3,8,9,10],[3,9,14,16],[3,11,13,14],[4,5,10,13],[4,5,12,16],[4,6,9,16],[4,6,11,13],[4,7,10,11],[4,7,14,15],[4,8,9,12],[4,8,14,15],[5,9,11,15],[5,9,11,15],[6,10,12,14],[6,10,12,14],[7,8,13,16],[7,8,13,16]]; G[120]:=Group([(7,8)(9,11)(10,12)(13,16),(1,2)(3,4)(6,14)(10,12),(1,3)(2,4)(5,15)(9,11)(10,12)]); R[120]:=[]; RG[120]:=[]; # Design 120 / Resolution 1: autom. group order 8 R[120][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,31],[5,14,20,34],[6,13,19,32],[7,16,21,28],[8,12,23,29],[9,15,22,27],[10,11,24,30]]; RG[120][1]:=Group([(7,8)(9,11)(10,12)(13,16),(1,2)(3,4)(6,14)(10,12),(1,4)(2,3)(5,15)(6,14)(9,11)]); # Design 121: 1 resolution(s), autom. group order 8 D[121]:=[[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],[2,9,11,13],[2,9,14,16],[3,5,11,15],[3,5,12,16],[3,6,7,13],[3,6,8,14],[3,7,9,14],[3,8,9,13],[3,10,11,12],[3,10,15,16],[4,5,8,15],[4,5,9,16],[4,6,11,14],[4,6,13,16],[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[121]:=Group([(5,10)(7,8)(11,16)(13,14),(2,4)(6,9)(7,8)(11,16)(12,15),(1,3)(5,13)(6,9)(7,8)(10,14)(12,15)]); R[121]:=[]; RG[121]:=[]; # Design 121 / Resolution 1: autom. group order 8 R[121][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,14,25,30],[5,18,19,32],[6,16,20,29],[7,13,23,27],[8,15,21,28],[9,11,24,31],[10,12,22,34]]; RG[121][1]:=Group([(1,3)(2,4)(5,13)(10,14)(11,16),(1,3)(2,4)(5,14)(7,8)(10,13),(2,4)(6,9)(7,8)(11,16)(12,15)]); # Design 122: 1 resolution(s), autom. group order 8 D[122]:=[[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],[2,7,13,15],[2,8,10,12],[2,8,14,15],[2,9,11,13],[2,9,14,16],[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],[4,6,11,14],[4,6,13,16],[4,7,10,15],[4,7,12,14],[4,8,12,13],[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[122]:=Group([(5,10)(7,8)(11,16)(13,14),(2,4)(6,9)(7,8)(11,16)(12,15),(1,3)(6,12)(7,11)(8,16)(9,15)]); R[122]:=[]; RG[122]:=[]; # Design 122 / Resolution 1: autom. group order 8 R[122][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[122][1]:=Group([(5,10)(7,8)(11,16)(13,14),(1,3)(2,4)(5,10)(6,15)(7,11)(8,16)(9,12)(13,14),(1,3)(6,12)(7,11)(8,16)(9,15)]); # Design 123: 1 resolution(s), autom. group order 8 D[123]:=[[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],[2,5,7,13],[2,6,15,16],[2,7,12,14],[2,8,9,12],[2,9,11,16],[2,10,11,14],[2,10,13,15],[3,5,9,16],[3,5,14,15],[3,6,7,15],[3,6,11,12],[3,7,9,10],[3,8,11,14],[3,8,13,16],[3,10,12,13],[4,5,10,14],[4,5,11,13],[4,6,8,10],[4,6,12,16],[4,7,9,11],[4,7,14,16],[4,8,13,15],[4,9,12,15],[5,10,12,16],[5,11,12,15],[6,9,13,14],[6,9,13,14],[7,8,10,16],[7,8,11,15]]; G[123]:=Group([(5,7,12,8)(6,13,14,9)(10,11,16,15),(1,2)(3,4)(7,8)(9,13)(10,15)(11,16)]); R[123]:=[]; RG[123]:=[]; # Design 123 / Resolution 1: autom. group order 8 R[123][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,22,32],[5,14,19,33],[6,16,20,29],[7,13,23,28],[8,12,24,30],[9,15,21,27],[10,11,26,31]]; RG[123][1]:=Group([(1,2)(3,4)(5,12)(6,14)(10,11)(15,16),(1,2)(3,4)(7,8)(9,13)(10,15)(11,16),(1,2)(3,4)(5,8)(6,9)(7,12)(10,16)(13,14)]); # Design 124: 1 resolution(s), autom. group order 8, decomposable D[124]:=[[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],[3,5,13,16],[3,5,14,16],[3,6,7,12],[3,6,8,15],[3,7,11,12],[3,8,10,15],[3,9,10,14],[3,9,11,13],[4,5,10,13],[4,5,11,14],[4,6,9,13],[4,6,9,14],[4,7,10,15],[4,7,15,16],[4,8,11,12],[4,8,12,16],[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[124]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(5,9)(6,16)(10,11)(12,15),(1,3)(2,4)(6,16)(7,13)(8,14)(10,11)]); R[124]:=[]; RG[124]:=[]; # Design 124 / Resolution 1: autom. group order 8, decomposable R[124][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,13,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[124][1]:=Group([(1,2)(3,4)(5,9)(6,16)(10,11)(12,15),(1,3)(2,4)(6,16)(7,14)(8,13)(12,15),(7,8)(10,11)(12,15)(13,14)]); # Design 125: 1 resolution(s), autom. group order 8 D[125]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,8,9],[1,6,8,10],[1,7,11,12],[1,9,10,13],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,6,14],[2,5,7,9],[2,6,10,13],[2,7,11,15],[2,8,11,12],[2,8,15,16],[2,9,10,14],[2,12,13,16],[3,5,8,12],[3,5,13,15],[3,6,7,16],[3,6,11,13],[3,7,10,15],[3,8,9,11],[3,9,14,16],[3,10,12,14],[4,5,12,13],[4,5,14,15],[4,6,8,16],[4,6,11,14],[4,7,9,16],[4,7,10,12],[4,8,10,15],[4,9,11,13],[5,10,11,16],[5,10,11,16],[6,9,12,15],[6,9,12,15],[7,8,13,14],[7,8,13,14]]; G[125]:=Group([(5,16)(6,15)(7,13)(8,14)(9,12)(10,11),(3,4)(5,10)(6,9)(7,13)(11,16)(12,15),(1,2)(5,10)(7,13)(8,14)(11,16)]); R[125]:=[]; RG[125]:=[]; # Design 125 / Resolution 1: autom. group order 8 R[125][1]:=[[1,35,37,39],[2,36,38,40],[3,16,26,34],[4,18,23,30],[5,14,25,27],[6,17,20,29],[7,15,21,28],[8,13,19,31],[9,12,22,33],[10,11,24,32]]; RG[125][1]:=Group([(1,2)(3,4)(6,9)(8,14)(12,15),(5,16)(6,15)(7,13)(8,14)(9,12)(10,11),(1,2)(5,11)(6,15)(9,12)(10,16)]); # Design 126: 1 resolution(s), autom. group order 8 D[126]:=[[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],[3,5,13,16],[3,5,14,16],[3,6,7,15],[3,6,8,12],[3,7,11,12],[3,8,10,15],[3,9,10,14],[3,9,11,13],[4,5,10,13],[4,5,11,14],[4,6,9,13],[4,6,9,14],[4,7,10,15],[4,7,12,16],[4,8,11,12],[4,8,15,16],[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[126]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(5,9)(6,16)(10,11)(12,15),(1,3)(2,4)(6,16)(7,13)(8,14)(10,11)]); R[126]:=[]; RG[126]:=[]; # Design 126 / Resolution 1: autom. group order 8 R[126][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,16,21,28],[8,15,22,27],[9,11,24,29],[10,12,23,30]]; RG[126][1]:=Group([(1,2)(3,4)(5,9)(6,16)(10,11)(12,15),(1,3)(2,4)(6,16)(7,13)(8,14)(10,11),(1,3)(2,4)(6,16)(7,14)(8,13)(12,15)]); # Design 127: 1 resolution(s), autom. group order 8, decomposable D[127]:=[[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],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,12],[2,6,11,14],[2,6,13,15],[2,7,9,15],[2,8,9,16],[2,10,12,14],[2,10,13,16],[3,5,13,15],[3,5,14,16],[3,6,7,12],[3,6,8,16],[3,7,10,11],[3,8,10,15],[3,9,11,13],[3,9,12,14],[4,5,10,13],[4,5,10,14],[4,6,9,13],[4,6,9,14],[4,7,12,16],[4,7,15,16],[4,8,11,12],[4,8,11,15],[5,9,11,16],[5,9,12,15],[6,10,11,16],[6,10,12,15],[7,8,13,14],[7,8,13,14]]; G[127]:=Group([(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(2,3)(5,6)(7,8)(9,10)(11,16),(1,4)(5,6,9,10)(7,13,8,14)(11,15,16,12)]); R[127]:=[]; RG[127]:=[]; # Design 127 / Resolution 1: autom. group order 8, decomposable R[127][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,34],[4,17,25,32],[5,14,20,33],[6,13,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[127][1]:=Group([(2,3)(5,6)(7,8)(9,10)(11,16),(1,4)(2,3)(6,10)(7,13)(8,14)(11,15)(12,16)]); # Design 128: 1 resolution(s), autom. group order 8 D[128]:=[[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],[2,5,7,16],[2,5,8,16],[2,6,9,15],[2,6,11,14],[2,7,9,12],[2,8,10,11],[2,10,13,15],[2,12,13,14],[3,5,10,14],[3,5,12,15],[3,6,7,13],[3,6,8,13],[3,7,10,11],[3,8,9,12],[3,9,14,16],[3,11,15,16],[4,5,9,15],[4,5,11,14],[4,6,10,14],[4,6,12,15],[4,7,11,12],[4,7,13,16],[4,8,9,10],[4,8,13,16],[5,9,11,13],[5,10,12,13],[6,9,11,16],[6,10,12,16],[7,8,14,15],[7,8,14,15]]; G[128]:=Group([(7,8)(9,11)(10,12)(14,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,4)(5,16)(6,13)(9,12)(10,11)(14,15)]); R[128]:=[]; RG[128]:=[]; # Design 128 / Resolution 1: autom. group order 8 R[128][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,14,20,34],[6,13,19,32],[7,12,23,30],[8,15,22,28],[9,11,24,29],[10,16,21,27]]; RG[128][1]:=Group([(1,4)(2,3)(5,13)(6,16)(9,11)(10,12),(1,4)(5,16)(6,13)(7,8)(9,10)(11,12),(1,4)(5,16)(6,13)(9,12)(10,11)(14,15)]); # Design 129: 1 resolution(s), autom. group order 8 D[129]:=[[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],[4,7,11,14],[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[129]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(13,14),(1,2)(3,4)(6,11)(10,16)(12,15)(13,14)]); R[129]:=[]; RG[129]:=[]; # Design 129 / Resolution 1: autom. group order 8 R[129][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,14,19,33],[6,13,20,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[129][1]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(13,14),(1,2)(3,4)(5,9)(6,16)(10,11)(12,15)]); # Design 130: 2 resolution(s), autom. group order 8, simple D[130]:=[[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],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,4,8,13],[2,5,9,15],[2,6,8,10],[2,6,11,14],[2,7,10,15],[2,7,14,16],[2,9,12,16],[2,11,12,13],[3,4,11,15],[3,5,8,16],[3,6,8,12],[3,6,9,14],[3,7,12,15],[3,7,13,14],[3,9,10,16],[3,10,11,13],[4,5,9,13],[4,5,11,16],[4,6,10,16],[4,7,9,12],[4,8,14,15],[4,10,12,14],[5,6,12,13],[5,7,10,11],[5,8,14,15],[5,10,12,14],[6,9,11,15],[6,13,15,16],[7,8,9,11],[7,8,13,16]]; G[130]:=Group([(4,5)(6,7)(8,15)(9,13)(11,16),(2,3)(6,7)(8,15)(9,16)(10,12)(11,13),(1,14)(2,10)(3,12)(6,8)(7,15)(9,11)(13,16)]); R[130]:=[]; RG[130]:=[]; # Design 130 / Resolution 1: autom. group order 2 R[130][1]:=[[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],[9,15,21,27],[10,11,22,34]]; RG[130][1]:=Group([(1,14)(2,12)(3,10)(6,15)(7,8)(9,13)(11,16)]); # Design 130 / Resolution 2: autom. group order 2 R[130][2]:=[[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],[9,13,23,27],[10,11,22,34]]; RG[130][2]:=Group([(1,14)(2,12)(3,10)(6,15)(7,8)(9,13)(11,16)]); # Design 131: 4 resolution(s), autom. group order 8, simple D[131]:=[[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],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,4,8,13],[2,5,9,15],[2,6,8,10],[2,6,11,14],[2,7,10,15],[2,7,14,16],[2,9,11,12],[2,12,13,16],[3,4,11,15],[3,5,8,16],[3,6,8,12],[3,6,9,14],[3,7,12,15],[3,7,13,14],[3,9,10,11],[3,10,13,16],[4,5,9,13],[4,5,11,16],[4,6,10,16],[4,7,9,12],[4,8,14,15],[4,10,12,14],[5,6,12,13],[5,7,10,11],[5,8,14,15],[5,10,12,14],[6,9,15,16],[6,11,13,15],[7,8,9,16],[7,8,11,13]]; G[131]:=Group([(4,5)(6,7)(8,15)(9,13)(11,16),(2,3)(6,7)(8,15)(9,16)(10,12)(11,13),(1,14)(2,10)(3,12)(6,8)(7,15)(9,11)(13,16)]); R[131]:=[]; RG[131]:=[]; # Design 131 / Resolution 1: autom. group order 4 R[131][1]:=[[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],[9,15,21,27],[10,11,22,34]]; RG[131][1]:=Group([(2,3)(4,5)(9,11)(10,12)(13,16),(1,14)(2,12)(3,10)(6,15)(7,8)(9,13)(11,16)]); # Design 131 / Resolution 2: autom. group order 4 R[131][2]:=[[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],[9,13,23,27],[10,11,22,34]]; RG[131][2]:=Group([(2,3)(4,5)(9,11)(10,12)(13,16),(1,14)(2,12)(3,10)(6,15)(7,8)(9,13)(11,16)]); # Design 131 / Resolution 3: autom. group order 4 R[131][3]:=[[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],[9,15,21,27],[10,11,22,34]]; RG[131][3]:=Group([(2,3)(4,5)(9,11)(10,12)(13,16),(1,14)(2,12)(3,10)(6,15)(7,8)(9,13)(11,16)]); # Design 131 / Resolution 4: autom. group order 4 R[131][4]:=[[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],[9,13,23,27],[10,11,22,34]]; RG[131][4]:=Group([(2,3)(4,5)(9,11)(10,12)(13,16),(1,14)(2,12)(3,10)(6,15)(7,8)(9,13)(11,16)]); # Design 132: 2 resolution(s), autom. group order 8, simple D[132]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,4,8,15],[2,5,9,14],[2,6,8,10],[2,6,13,16],[2,7,10,14],[2,7,11,13],[2,9,12,15],[2,11,12,16],[3,4,11,14],[3,5,8,16],[3,6,8,12],[3,6,13,15],[3,7,9,13],[3,7,12,14],[3,9,10,15],[3,10,11,16],[4,5,9,11],[4,5,15,16],[4,6,9,12],[4,7,10,16],[4,8,13,14],[4,10,12,13],[5,6,10,11],[5,7,12,15],[5,8,13,14],[5,10,12,13],[6,9,14,16],[6,11,14,15],[7,8,9,16],[7,8,11,15]]; G[132]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(2,3)(6,7)(8,14)(9,16)(10,12)(11,15),(1,13)(2,10)(3,12)(6,14)(7,8)(9,11)(15,16)]); R[132]:=[]; RG[132]:=[]; # Design 132 / Resolution 1: autom. group order 2 R[132][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],[9,11,23,33],[10,13,24,27]]; RG[132][1]:=Group([(1,13)(2,12)(3,10)(4,5)(6,14)(7,8)]); # Design 132 / Resolution 2: autom. group order 2 R[132][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],[9,11,23,33],[10,15,21,27]]; RG[132][2]:=Group([(1,13)(2,12)(3,10)(4,5)(6,14)(7,8)]); # Design 133: 4 resolution(s), autom. group order 8, simple D[133]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,4,8,15],[2,5,9,14],[2,6,8,10],[2,6,13,16],[2,7,10,14],[2,7,11,13],[2,9,12,16],[2,11,12,15],[3,4,11,14],[3,5,8,16],[3,6,8,12],[3,6,13,15],[3,7,9,13],[3,7,12,14],[3,9,10,16],[3,10,11,15],[4,5,9,11],[4,5,15,16],[4,6,9,12],[4,7,10,16],[4,8,13,14],[4,10,12,13],[5,6,10,11],[5,7,12,15],[5,8,13,14],[5,10,12,13],[6,9,14,15],[6,11,14,16],[7,8,9,15],[7,8,11,16]]; G[133]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(2,3)(6,7)(8,14)(9,16)(10,12)(11,15),(1,13)(2,10)(3,12)(6,14)(7,8)(9,11)(15,16)]); R[133]:=[]; RG[133]:=[]; # Design 133 / Resolution 1: autom. group order 4 R[133][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],[9,11,23,33],[10,13,24,27]]; RG[133][1]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(1,13)(2,12)(3,10)(6,8)(7,14)(9,15)(11,16)]); # Design 133 / Resolution 2: autom. group order 4 R[133][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],[9,11,23,33],[10,15,21,27]]; RG[133][2]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(1,13)(2,12)(3,10)(6,8)(7,14)(9,15)(11,16)]); # Design 133 / Resolution 3: autom. group order 4 R[133][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],[9,11,23,33],[10,15,21,27]]; RG[133][3]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(1,13)(2,12)(3,10)(6,8)(7,14)(9,15)(11,16)]); # Design 133 / Resolution 4: autom. group order 4 R[133][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],[9,11,23,33],[10,13,24,27]]; RG[133][4]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(1,13)(2,12)(3,10)(6,8)(7,14)(9,15)(11,16)]); # Design 134: 6 resolution(s), autom. group order 8, simple, decomposable D[134]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[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],[2,4,9,16],[2,5,7,15],[2,6,8,10],[2,6,13,14],[2,7,11,13],[2,8,10,16],[2,9,11,12],[2,12,14,15],[3,4,8,14],[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],[4,6,10,11],[4,7,13,16],[4,8,12,15],[4,10,12,13],[5,6,9,12],[5,7,10,14],[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[134]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,7,13,8)(2,3,12,10)(4,16,5,6)(9,11)]); R[134]:=[]; RG[134]:=[]; # Design 134 / Resolution 1: autom. group order 4 R[134][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[134][1]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 134 / Resolution 2: autom. group order 8 R[134][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,14,20,31],[6,11,22,34],[7,13,23,28],[8,15,19,33],[9,16,21,27],[10,12,24,29]]; RG[134][2]:=Group([(1,8)(3,10)(4,16)(5,6)(7,13)(14,15),(2,3)(4,5)(7,8)(9,11)(10,12)(14,15)]); # Design 134 / Resolution 3: autom. group order 8 R[134][3]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[134][3]:=Group([(1,8)(3,10)(4,16)(5,6)(7,13)(14,15),(2,3)(4,5)(7,8)(9,11)(10,12)(14,15)]); # Design 134 / Resolution 4: autom. group order 4 R[134][4]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[134][4]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8)]); # Design 134 / Resolution 5: autom. group order 8, decomposable R[134][5]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,14,20,31],[6,11,22,34],[7,13,23,28],[8,15,19,33],[9,16,21,27],[10,12,24,29]]; RG[134][5]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8),(1,7,13,8)(2,3,12,10)(4,16,5,6)(9,11)]); # Design 134 / Resolution 6: autom. group order 8 R[134][6]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[134][6]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(14,15),(1,13)(2,12)(3,10)(4,5)(6,16)(7,8),(1,7,13,8)(2,3,12,10)(4,16,5,6)(9,11)]); # Design 135: 6 resolution(s), autom. group order 8, simple D[135]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,4,9,15],[2,5,7,13],[2,6,8,10],[2,6,14,16],[2,7,11,14],[2,8,10,15],[2,9,11,12],[2,12,13,16],[3,4,8,16],[3,5,11,15],[3,6,7,12],[3,6,13,14],[3,7,12,15],[3,8,9,14],[3,9,10,11],[3,10,13,16],[4,5,9,13],[4,5,11,16],[4,6,10,11],[4,7,14,15],[4,8,12,13],[4,10,12,14],[5,6,9,12],[5,7,10,16],[5,8,14,15],[5,10,12,14],[6,9,15,16],[6,11,13,15],[7,8,9,16],[7,8,11,13]]; G[135]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,7,14,8)(2,3,12,10)(4,15,5,6)(9,11)]); R[135]:=[]; RG[135]:=[]; # Design 135 / Resolution 1: autom. group order 4 R[135][1]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[135][1]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,14)(2,12)(3,10)(4,5)(6,15)(7,8)]); # Design 135 / Resolution 2: autom. group order 8 R[135][2]:=[[1,36,37,40],[2,32,38,39],[3,17,26,35],[4,18,25,30],[5,14,20,31],[6,11,22,34],[7,13,23,28],[8,15,19,33],[9,16,21,27],[10,12,24,29]]; RG[135][2]:=Group([(1,8)(3,10)(4,15)(5,6)(7,14)(13,16),(2,3)(4,5)(7,8)(9,11)(10,12)(13,16)]); # Design 135 / Resolution 3: autom. group order 8 R[135][3]:=[[1,36,38,39],[2,32,37,40],[3,17,26,35],[4,18,25,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[135][3]:=Group([(1,8)(3,10)(4,15)(5,6)(7,14)(13,16),(2,3)(4,5)(7,8)(9,11)(10,12)(13,16)]); # Design 135 / Resolution 4: autom. group order 4 R[135][4]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,14,20,31],[6,11,22,34],[7,13,23,28],[8,15,19,33],[9,16,21,27],[10,12,24,29]]; RG[135][4]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,14)(2,12)(3,10)(4,5)(6,15)(7,8)]); # Design 135 / Resolution 5: autom. group order 8 R[135][5]:=[[1,36,38,39],[2,32,37,40],[3,18,25,35],[4,17,26,30],[5,14,20,31],[6,11,22,34],[7,16,21,28],[8,15,19,33],[9,13,23,27],[10,12,24,29]]; RG[135][5]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,8)(3,10)(4,15)(5,6)(7,14)(13,16)]); # Design 135 / Resolution 6: autom. group order 8 R[135][6]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,14,20,31],[6,11,22,34],[7,13,23,28],[8,15,19,33],[9,16,21,27],[10,12,24,29]]; RG[135][6]:=Group([(2,3)(4,5)(7,8)(9,11)(10,12)(13,16),(1,8)(3,10)(4,15)(5,6)(7,14)(13,16)]); # Design 136: 1 resolution(s), autom. group order 8, decomposable D[136]:=[[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],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,16],[2,6,12,14],[2,6,13,15],[2,7,9,11],[2,8,9,16],[2,10,12,14],[2,10,13,15],[3,5,11,12],[3,5,13,16],[3,6,7,15],[3,6,8,14],[3,7,10,13],[3,8,10,12],[3,9,11,14],[3,9,15,16],[4,5,10,14],[4,5,10,15],[4,6,9,12],[4,6,9,13],[4,7,12,16],[4,7,14,16],[4,8,11,13],[4,8,11,15],[5,9,12,15],[5,9,13,14],[6,10,11,16],[6,10,11,16],[7,8,12,15],[7,8,13,14]]; G[136]:=Group([(7,8)(11,16)(12,13)(14,15),(5,9)(6,10)(12,14)(13,15),(1,2)(5,7)(6,11)(8,9)(10,16)(12,15)]); R[136]:=[]; RG[136]:=[]; # Design 136 / Resolution 1: autom. group order 8, decomposable R[136][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,31],[5,13,20,34],[6,14,19,32],[7,16,21,27],[8,12,23,29],[9,15,22,28],[10,11,24,30]]; RG[136][1]:=Group([(5,9)(6,10)(12,14)(13,15),(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(1,2)(5,7)(6,11)(8,9)(10,16)(12,15)]); # Design 137: 1 resolution(s), autom. group order 8, decomposable D[137]:=[[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],[2,5,8,9],[2,6,11,14],[2,6,14,16],[2,7,10,15],[2,8,9,11],[2,10,12,13],[2,12,13,16],[3,5,11,13],[3,5,12,15],[3,6,7,12],[3,6,9,16],[3,7,11,13],[3,8,10,14],[3,8,10,16],[3,9,14,15],[4,5,10,14],[4,5,13,14],[4,6,9,13],[4,6,10,12],[4,7,8,16],[4,7,11,16],[4,8,12,15],[4,9,11,15],[5,9,12,16],[5,10,11,16],[6,8,13,15],[6,10,11,15],[7,8,13,14],[7,9,12,14]]; G[137]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,10,16,11)(6,9,15,12)(7,13,14,8),(1,2)(5,7)(6,15)(8,10)(11,13)(14,16)]); R[137]:=[]; RG[137]:=[]; # Design 137 / Resolution 1: autom. group order 8, decomposable R[137][1]:=[[1,35,38,39],[2,36,37,40],[3,18,24,34],[4,17,26,32],[5,14,19,33],[6,15,22,28],[7,13,20,31],[8,11,25,29],[9,16,21,27],[10,12,23,30]]; RG[137][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(1,2)(5,7)(6,15)(8,10)(11,13)(14,16),(3,4)(5,10,16,11)(6,9,15,12)(7,13,14,8)]); # Design 138: 1 resolution(s), autom. group order 8, decomposable D[138]:=[[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],[2,5,7,14],[2,5,8,14],[2,6,11,12],[2,6,12,16],[2,7,9,10],[2,8,10,16],[2,9,13,15],[2,11,13,15],[3,5,10,15],[3,5,15,16],[3,6,7,13],[3,6,8,13],[3,7,11,16],[3,8,9,11],[3,9,12,14],[3,10,12,14],[4,5,9,12],[4,5,11,12],[4,6,9,15],[4,6,10,15],[4,7,11,16],[4,7,13,14],[4,8,10,16],[4,8,13,14],[5,9,13,16],[5,10,11,13],[6,9,14,16],[6,10,11,14],[7,8,12,15],[7,8,12,15]]; G[138]:=Group([(2,3)(5,6)(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(6,14)(9,10)(11,16)(12,15)]); R[138]:=[]; RG[138]:=[]; # Design 138 / Resolution 1: autom. group order 8, decomposable R[138][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,33],[4,17,26,31],[5,13,20,34],[6,14,19,32],[7,12,23,29],[8,16,21,27],[9,11,24,30],[10,15,22,28]]; RG[138][1]:=Group([(2,3)(5,6)(7,8)(10,11)(12,15)(13,14),(1,4)(5,14)(6,13)(7,8)(9,16)(12,15),(1,2)(3,4)(6,14)(9,10)(11,16)(12,15)]); # Design 139: 1 resolution(s), autom. group order 8 D[139]:=[[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],[2,5,9,13],[2,6,8,12],[2,6,10,14],[2,7,12,15],[2,8,11,16],[2,9,14,15],[2,10,13,16],[3,5,8,15],[3,5,14,16],[3,6,7,16],[3,6,13,15],[3,7,10,11],[3,8,9,12],[3,9,11,14],[3,10,12,13],[4,5,9,13],[4,5,12,14],[4,6,10,14],[4,6,11,13],[4,7,9,16],[4,7,12,15],[4,8,10,15],[4,8,11,16],[5,10,11,15],[5,10,12,16],[6,9,11,15],[6,9,12,16],[7,8,13,14],[7,8,13,14]]; G[139]:=Group([(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(5,15,6,16)(7,14,8,13)(9,12,10,11),(2,4)(5,9)(6,10)(11,16)(12,15)]); R[139]:=[]; RG[139]:=[]; # Design 139 / Resolution 1: autom. group order 8 R[139][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,32],[5,16,22,28],[6,15,20,30],[7,14,19,31],[8,12,21,33],[9,11,24,29],[10,13,23,27]]; RG[139][1]:=Group([(2,4)(5,9)(6,10)(11,16)(12,15),(5,15,6,16)(7,14,8,13)(9,12,10,11)]); # Design 140: 1 resolution(s), autom. group order 8, decomposable D[140]:=[[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],[2,5,11,13],[2,6,8,15],[2,6,13,15],[2,7,9,12],[2,8,10,16],[2,9,12,14],[2,10,14,16],[3,5,9,16],[3,5,12,16],[3,6,7,14],[3,6,10,11],[3,7,14,15],[3,8,9,13],[3,8,12,13],[3,10,11,15],[4,5,8,14],[4,5,9,15],[4,6,10,12],[4,6,12,16],[4,7,10,13],[4,7,13,16],[4,8,11,14],[4,9,11,15],[5,10,12,15],[5,10,13,14],[6,9,11,16],[6,9,13,14],[7,8,11,16],[7,8,12,15]]; G[140]:=Group([(5,10)(6,9)(7,8)(11,16)(12,15)(13,14),(5,11)(6,12)(7,13)(8,14)(9,15)(10,16),(3,4)(5,6)(7,8)(9,10)(11,15)(12,16)]); R[140]:=[]; RG[140]:=[]; # Design 140 / Resolution 1: autom. group order 8, decomposable R[140][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,12,23,30],[7,16,21,28],[8,13,19,31],[9,15,22,27],[10,11,24,29]]; RG[140][1]:=Group([(5,10)(6,9)(7,8)(11,16)(12,15)(13,14),(5,11)(6,12)(7,13)(8,14)(9,15)(10,16),(3,4)(5,6)(7,8)(9,10)(11,15)(12,16)]); # Design 141: 1 resolution(s), autom. group order 8, decomposable D[141]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,14],[2,5,8,14],[2,6,11,15],[2,6,12,16],[2,7,9,10],[2,8,10,16],[2,9,12,13],[2,11,13,15],[3,5,10,15],[3,5,12,16],[3,6,7,13],[3,6,8,13],[3,7,11,16],[3,8,9,11],[3,9,12,14],[3,10,14,15],[4,5,9,15],[4,5,11,12],[4,6,9,15],[4,6,10,12],[4,7,11,16],[4,7,13,14],[4,8,10,16],[4,8,13,14],[5,9,13,16],[5,10,11,13],[6,9,14,16],[6,10,11,14],[7,8,12,15],[7,8,12,15]]; G[141]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,2)(3,4)(6,14)(9,10)(11,16)]); R[141]:=[]; RG[141]:=[]; # Design 141 / Resolution 1: autom. group order 8, decomposable R[141][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,33],[4,17,26,31],[5,13,20,34],[6,14,19,32],[7,12,23,29],[8,16,21,27],[9,11,24,30],[10,15,22,28]]; RG[141][1]:=Group([(2,3)(5,6)(7,8)(10,11)(13,14),(1,2)(3,4)(6,14)(9,10)(11,16)]); # Design 142: 1 resolution(s), autom. group order 8, decomposable D[142]:=[[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],[2,5,9,12],[2,6,8,14],[2,6,12,13],[2,7,13,15],[2,8,10,15],[2,9,14,16],[2,10,11,16],[3,5,10,14],[3,5,14,15],[3,6,7,16],[3,6,11,13],[3,7,12,16],[3,8,9,12],[3,8,9,15],[3,10,11,13],[4,5,9,13],[4,5,11,15],[4,6,9,16],[4,6,10,14],[4,7,8,10],[4,7,12,15],[4,8,11,16],[4,12,13,14],[5,8,13,16],[5,10,12,16],[6,9,11,15],[6,10,12,15],[7,8,13,14],[7,9,11,14]]; G[142]:=Group([(5,16)(6,15)(7,14)(8,13)(9,11)(10,12),(2,4)(5,9,16,11)(6,10,15,12)(7,13,14,8),(1,3)(5,9,16,11)(6,8,15,13)(7,12,14,10)]); R[142]:=[]; RG[142]:=[]; # Design 142 / Resolution 1: autom. group order 8, decomposable R[142][1]:=[[1,35,38,40],[2,36,37,39],[3,18,25,34],[4,17,26,32],[5,14,20,33],[6,15,19,29],[7,13,23,28],[8,16,21,27],[9,11,24,30],[10,12,22,31]]; RG[142][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,11)(10,12),(2,4)(5,11,16,9)(6,12,15,10)(7,8,14,13),(1,3)(5,9,16,11)(6,8,15,13)(7,12,14,10)]); # Design 143: 1 resolution(s), autom. group order 8, decomposable D[143]:=[[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],[2,5,7,13],[2,5,8,9],[2,6,11,15],[2,6,12,15],[2,7,13,16],[2,8,9,11],[2,10,12,14],[2,10,14,16],[3,5,10,15],[3,5,11,16],[3,6,7,14],[3,6,12,13],[3,7,8,14],[3,8,10,15],[3,9,11,16],[3,9,12,13],[4,5,10,12],[4,5,12,16],[4,6,9,14],[4,6,9,16],[4,7,10,11],[4,7,11,15],[4,8,13,14],[4,8,13,15],[5,9,14,15],[5,11,13,14],[6,8,10,16],[6,10,11,13],[7,8,12,16],[7,9,12,15]]; G[143]:=Group([(3,4)(5,16)(6,15)(7,13)(8,14)(9,10)(11,12),(1,2)(5,8)(6,9)(7,11)(10,15)(12,13)(14,16),(1,3)(2,4)(5,14)(6,7)(9,13)(10,12)(11,15)]); R[143]:=[]; RG[143]:=[]; # Design 143 / Resolution 1: autom. group order 8, decomposable R[143][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,32],[5,14,20,33],[6,15,19,29],[7,13,23,28],[8,11,24,30],[9,16,21,27],[10,12,22,31]]; RG[143][1]:=Group([(3,4)(5,16)(6,15)(7,13)(8,14)(9,10)(11,12),(1,2)(5,8)(6,9)(7,11)(10,15)(12,13)(14,16),(1,3)(2,4)(5,14)(6,7)(9,13)(10,12)(11,15)]); # Design 144: 1 resolution(s), autom. group order 8, decomposable D[144]:=[[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],[2,5,11,15],[2,6,9,16],[2,6,12,13],[2,7,8,10],[2,8,10,15],[2,9,14,16],[2,12,13,14],[3,5,10,14],[3,5,14,15],[3,6,7,16],[3,6,11,13],[3,7,12,16],[3,8,9,12],[3,8,9,15],[3,10,11,13],[4,5,9,12],[4,5,9,13],[4,6,8,14],[4,6,10,14],[4,7,12,15],[4,7,13,15],[4,8,11,16],[4,10,11,16],[5,8,13,16],[5,10,12,16],[6,9,11,15],[6,10,12,15],[7,8,13,14],[7,9,11,14]]; G[144]:=Group([(5,16)(6,15)(7,14)(8,13)(9,11)(10,12),(2,4)(5,9,16,11)(6,10,15,12)(7,13,14,8),(1,3)(6,14)(7,15)(8,10)(12,13)]); R[144]:=[]; RG[144]:=[]; # Design 144 / Resolution 1: autom. group order 8, decomposable R[144][1]:=[[1,35,38,40],[2,36,37,39],[3,18,25,34],[4,17,26,31],[5,14,20,33],[6,13,19,32],[7,12,23,29],[8,16,21,28],[9,11,24,30],[10,15,22,27]]; RG[144][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,11)(10,12),(1,3)(6,14)(7,15)(8,10)(12,13),(2,4)(5,9,16,11)(6,10,15,12)(7,13,14,8)]); # Design 145: 1 resolution(s), autom. group order 8, simple, decomposable D[145]:=[[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],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,4,10,15],[2,5,7,14],[2,6,9,14],[2,6,10,16],[2,7,8,13],[2,8,11,15],[2,9,12,13],[2,11,12,16],[3,4,8,16],[3,5,12,16],[3,6,9,11],[3,6,10,11],[3,7,8,13],[3,7,12,14],[3,9,13,15],[3,10,14,15],[4,5,9,12],[4,5,9,15],[4,6,13,14],[4,7,11,16],[4,8,10,12],[4,11,13,14],[5,6,13,16],[5,7,11,15],[5,8,10,14],[5,10,11,13],[6,7,12,15],[6,8,12,15],[7,9,10,16],[8,9,14,16]]; G[145]:=Group([(1,3,6,15)(2,11,12,16)(4,9,7,13)(5,10,8,14),(1,4,6,7)(2,14,12,10)(3,13,15,9)(5,11,8,16)]); R[145]:=[]; RG[145]:=[]; # Design 145 / Resolution 1: autom. group order 8, decomposable R[145][1]:=[[1,36,37,40],[2,32,38,39],[3,18,25,35],[4,17,26,30],[5,16,20,29],[6,11,24,33],[7,13,19,34],[8,14,23,28],[9,12,21,31],[10,15,22,27]]; RG[145][1]:=Group([(1,15,6,3)(2,16,12,11)(4,13,7,9)(5,14,8,10),(1,13,6,9)(2,8,12,5)(3,7,15,4)(10,16,14,11)]); # Design 146: 1 resolution(s), autom. group order 8, decomposable D[146]:=[[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],[2,5,8,9],[2,6,11,14],[2,6,14,16],[2,7,10,15],[2,8,9,11],[2,10,12,13],[2,12,13,16],[3,5,11,13],[3,5,13,14],[3,6,7,12],[3,6,10,12],[3,7,8,16],[3,8,10,16],[3,9,11,15],[3,9,14,15],[4,5,10,14],[4,5,12,15],[4,6,9,13],[4,6,9,16],[4,7,11,13],[4,7,11,16],[4,8,10,14],[4,8,12,15],[5,9,12,16],[5,10,11,16],[6,8,13,15],[6,10,11,15],[7,8,13,14],[7,9,12,14]]; G[146]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(3,4)(5,10,16,11)(6,9,15,12)(7,13,14,8),(1,2)(5,8)(6,9)(7,11)(10,14)(12,15)(13,16)]); R[146]:=[]; RG[146]:=[]; # Design 146 / Resolution 1: autom. group order 8, decomposable R[146][1]:=[[1,35,38,39],[2,36,37,40],[3,18,25,33],[4,17,26,32],[5,14,19,34],[6,15,20,30],[7,13,23,28],[8,11,24,29],[9,16,21,27],[10,12,22,31]]; RG[146][1]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(1,2)(5,8)(6,9)(7,11)(10,14)(12,15)(13,16),(3,4)(5,11,16,10)(6,12,15,9)(7,8,14,13)]); # Design 147: 2 resolution(s), autom. group order 8, simple D[147]:=[[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],[2,6,11,13],[2,7,10,16],[2,7,13,14],[2,9,12,15],[2,11,12,14],[3,4,11,16],[3,5,8,14],[3,6,8,12],[3,6,9,13],[3,7,12,16],[3,7,13,15],[3,9,10,15],[3,10,11,14],[4,5,9,14],[4,5,11,15],[4,6,10,14],[4,7,9,12],[4,8,13,16],[4,10,12,13],[5,6,12,15],[5,7,10,11],[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[147]:=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)(2,10)(3,12)(6,8)(7,16)(9,11)(14,15)]); R[147]:=[]; RG[147]:=[]; # Design 147 / Resolution 1: autom. group order 2 R[147][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],[9,13,23,27],[10,11,22,34]]; RG[147][1]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 147 / Resolution 2: autom. group order 2 R[147][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],[9,15,21,27],[10,11,22,34]]; RG[147][2]:=Group([(2,3)(6,7)(8,16)(9,14)(10,12)(11,15)]); # Design 148: 2 resolution(s), autom. group order 8, simple D[148]:=[[1,2,3,4],[1,2,3,5],[1,4,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,14,15],[1,12,14,16],[1,13,15,16],[2,4,8,15],[2,5,9,14],[2,6,8,12],[2,6,11,13],[2,7,12,14],[2,7,13,16],[2,9,10,15],[2,10,11,16],[3,4,11,14],[3,5,8,16],[3,6,8,10],[3,6,9,13],[3,7,10,14],[3,7,13,15],[3,9,12,15],[3,11,12,16],[4,5,9,11],[4,5,15,16],[4,6,10,16],[4,7,9,12],[4,8,13,14],[4,10,12,13],[5,6,12,15],[5,7,10,11],[5,8,13,14],[5,10,12,13],[6,9,14,16],[6,11,14,15],[7,8,9,16],[7,8,11,15]]; G[148]:=Group([(4,5)(6,7)(8,14)(9,15)(11,16),(2,3)(6,7)(8,14)(9,16)(10,12)(11,15),(1,13)(2,10)(3,12)(6,8)(7,14)(9,11)(15,16)]); R[148]:=[]; RG[148]:=[]; # Design 148 / Resolution 1: autom. group order 2 R[148][1]:=[[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[148][1]:=Group([(1,13)(2,12)(3,10)(6,14)(7,8)(9,15)(11,16)]); # Design 148 / Resolution 2: autom. group order 2 R[148][2]:=[[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[148][2]:=Group([(1,13)(2,12)(3,10)(6,14)(7,8)(9,15)(11,16)]); # Design 149: 1 resolution(s), autom. group order 8 D[149]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,11,13],[1,10,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,13],[2,5,8,14],[2,6,9,15],[2,6,12,14],[2,7,9,13],[2,7,12,15],[2,10,11,16],[2,10,11,16],[3,5,10,15],[3,5,11,14],[3,6,8,16],[3,6,9,11],[3,7,9,10],[3,7,14,16],[3,8,12,13],[3,12,13,15],[4,5,10,13],[4,5,11,15],[4,6,11,12],[4,6,13,16],[4,7,8,16],[4,7,10,12],[4,8,9,14],[4,9,14,15],[5,9,12,16],[5,9,12,16],[6,8,10,15],[6,10,13,14],[7,8,11,15],[7,11,13,14]]; G[149]:=Group([(3,4)(6,7)(9,12)(10,11)(13,14),(1,2)(5,16)(6,10)(7,11)(8,15),(1,5)(2,16)(3,9)(4,12)(8,15)(13,14)]); R[149]:=[]; RG[149]:=[]; # Design 149 / Resolution 1: autom. group order 4 R[149][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,16,20,30],[6,13,24,27],[7,14,19,31],[8,15,21,28],[9,12,23,29],[10,11,22,32]]; RG[149][1]:=Group([(1,2)(5,16)(6,10)(7,11)(8,15),(1,5)(2,16)(3,9)(4,12)(8,15)(13,14)]); # Design 150: 1 resolution(s), autom. group order 8 D[150]:=[[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],[2,9,12,15],[2,11,12,16],[3,5,8,16],[3,5,11,14],[3,6,7,12],[3,6,13,15],[3,7,12,14],[3,8,9,13],[3,9,10,15],[3,10,11,16],[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],[6,9,14,16],[6,11,14,15],[7,8,9,16],[7,8,11,15]]; G[150]:=Group([(2,3)(7,8)(9,11)(10,12)(15,16),(1,4)(5,13)(6,14)(9,16)(11,15),(1,5)(2,10)(3,12)(4,13)(9,15)(11,16)]); R[150]:=[]; RG[150]:=[]; # Design 150 / Resolution 1: autom. group order 2 R[150][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],[9,11,24,30],[10,16,21,27]]; RG[150][1]:=Group([(1,13)(2,12)(3,10)(4,5)(6,14)(7,8)]); # Design 151: 2 resolution(s), autom. group order 8 D[151]:=[[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],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,5,7,13],[2,5,9,15],[2,6,8,10],[2,6,14,16],[2,7,11,14],[2,8,10,15],[2,9,11,12],[2,12,13,16],[3,5,8,16],[3,5,11,15],[3,6,7,12],[3,6,13,14],[3,7,12,15],[3,8,9,14],[3,9,10,11],[3,10,13,16],[4,5,9,13],[4,5,11,16],[4,6,9,12],[4,6,10,11],[4,7,10,16],[4,7,14,15],[4,8,12,13],[4,8,14,15],[5,10,12,14],[5,10,12,14],[6,9,15,16],[6,11,13,15],[7,8,9,16],[7,8,11,13]]; G[151]:=Group([(2,3)(7,8)(9,11)(10,12)(13,16),(1,4)(5,14)(6,15)(9,16)(11,13),(1,5)(2,10)(3,12)(4,14)(9,13)(11,16)]); R[151]:=[]; RG[151]:=[]; # Design 151 / Resolution 1: autom. group order 4 R[151][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],[9,13,23,27],[10,11,24,30]]; RG[151][1]:=Group([(2,3)(7,8)(9,11)(10,12)(13,16),(1,14)(2,10)(3,12)(4,5)(6,15)(9,11)(13,16)]); # Design 151 / Resolution 2: autom. group order 4 R[151][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],[9,13,23,27],[10,11,24,30]]; RG[151][2]:=Group([(2,3)(7,8)(9,11)(10,12)(13,16),(1,14)(2,10)(3,12)(4,5)(6,15)(9,11)(13,16)]); # Design 152: 1 resolution(s), autom. group order 8, decomposable D[152]:=[[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],[2,5,8,11],[2,6,12,13],[2,6,13,15],[2,7,9,16],[2,7,9,16],[2,10,12,14],[2,10,14,15],[3,5,12,16],[3,5,14,16],[3,6,8,14],[3,6,8,15],[3,7,10,12],[3,7,10,13],[3,9,11,13],[3,9,11,15],[4,5,10,13],[4,5,10,15],[4,6,9,12],[4,6,9,14],[4,7,11,14],[4,7,11,15],[4,8,12,16],[4,8,13,16],[5,9,12,15],[5,9,13,14],[6,10,11,16],[6,10,11,16],[7,8,12,15],[7,8,13,14]]; G[152]:=Group([(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(3,4)(5,7)(8,9)(11,16)(12,15),(1,2)(5,7,9,8)(6,16,10,11)(12,13,15,14)]); R[152]:=[]; RG[152]:=[]; # Design 152 / Resolution 1: autom. group order 8, decomposable R[152][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,34],[4,18,25,33],[5,13,20,32],[6,14,19,31],[7,15,21,28],[8,16,22,27],[9,11,23,30],[10,12,24,29]]; RG[152][1]:=Group([(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(1,2)(5,7,9,8)(6,16,10,11)(12,13,15,14),(3,4)(5,8)(6,10)(7,9)(13,14)]); # Design 153: 1 resolution(s), autom. group order 8 D[153]:=[[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],[1,10,12,14],[1,13,15,16],[1,14,15,16],[2,5,7,12],[2,5,8,9],[2,6,10,13],[2,6,11,14],[2,7,11,15],[2,8,10,15],[2,9,14,16],[2,12,13,16],[3,5,13,15],[3,5,14,15],[3,6,7,16],[3,6,8,16],[3,7,10,12],[3,8,9,11],[3,9,10,14],[3,11,12,13],[4,5,9,13],[4,5,12,14],[4,6,10,13],[4,6,11,14],[4,7,9,16],[4,7,11,15],[4,8,10,15],[4,8,12,16],[5,10,11,16],[5,10,11,16],[6,9,12,15],[6,9,12,15],[7,8,13,14],[7,8,13,14]]; G[153]:=Group([(7,8)(9,12)(10,11)(13,14),(5,16)(6,15)(7,13)(8,14)(10,11),(1,3)(2,4)(6,15)(7,13)(8,14)(9,12)(10,11)]); R[153]:=[]; RG[153]:=[]; # Design 153 / Resolution 1: autom. group order 8 R[153][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,32],[5,14,19,34],[6,13,20,31],[7,16,21,28],[8,15,22,27],[9,12,23,30],[10,11,24,29]]; RG[153][1]:=Group([(1,3)(2,4)(5,16)(9,12),(5,16)(6,15)(7,14)(8,13)(9,12),(5,16)(6,15)(7,13)(8,14)(10,11)]); # Design 154: 1 resolution(s), autom. group order 8 D[154]:=[[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],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,14,15],[2,11,12,13],[3,5,12,16],[3,5,15,16],[3,6,7,14],[3,6,8,13],[3,7,11,13],[3,8,10,14],[3,9,10,15],[3,9,11,12],[4,5,10,12],[4,5,11,15],[4,6,9,12],[4,6,9,15],[4,7,10,13],[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[154]:=Group([(7,8)(10,11)(12,15)(13,14),(1,2)(3,4)(5,9)(6,16)(10,11),(1,3)(2,4)(6,16)(7,12)(8,15)(10,11)]); R[154]:=[]; RG[154]:=[]; # Design 154 / Resolution 1: autom. group order 8 R[154][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,14,19,33],[6,13,20,31],[7,16,21,28],[8,15,22,27],[9,12,23,30],[10,11,24,29]]; RG[154][1]:=Group([(1,2)(3,4)(5,9)(6,16)(10,11),(1,3)(2,4)(6,16)(7,12)(8,15)(10,11),(1,3)(2,4)(6,16)(7,15)(8,12)(13,14)]); # Design 155: 2 resolution(s), autom. group order 8, decomposable D[155]:=[[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],[2,5,8,11],[2,6,14,16],[2,6,15,16],[2,7,9,12],[2,7,10,11],[2,10,13,14],[2,12,13,15],[3,5,10,13],[3,5,12,13],[3,6,8,14],[3,6,8,15],[3,7,10,15],[3,7,12,14],[3,9,11,16],[3,9,11,16],[4,5,10,16],[4,5,12,16],[4,6,9,13],[4,6,11,13],[4,7,9,15],[4,7,11,14],[4,8,10,14],[4,8,12,15],[5,9,14,15],[5,11,14,15],[6,9,10,12],[6,10,11,12],[7,8,13,16],[7,8,13,16]]; G[155]:=Group([(9,11)(10,12)(14,15),(2,4)(5,6)(8,13)(10,14)(12,15),(1,7)(2,8)(3,16)(4,13)(10,12)(14,15)]); R[155]:=[]; RG[155]:=[]; # Design 155 / Resolution 1: autom. group order 8, decomposable R[155][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,14,20,32],[6,13,19,31],[7,16,22,28],[8,11,24,30],[9,15,21,27],[10,12,23,29]]; RG[155][1]:=Group([(9,11)(10,12)(14,15),(2,4)(5,6)(8,13)(10,14)(12,15),(1,7)(2,8)(3,16)(4,13)(10,12)(14,15)]); # Design 155 / Resolution 2: autom. group order 8 R[155][2]:=[[1,35,38,39],[2,36,37,40],[3,17,25,34],[4,18,26,33],[5,14,20,32],[6,13,19,31],[7,16,22,28],[8,12,24,29],[9,15,21,27],[10,11,23,30]]; RG[155][2]:=Group([(9,11)(10,12)(14,15),(2,4)(5,6)(8,13)(10,14)(12,15),(1,7)(2,8)(3,16)(4,13)(10,12)(14,15)]); # Design 156: 1 resolution(s), autom. group order 8, decomposable D[156]:=[[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],[2,5,8,11],[2,6,12,15],[2,6,13,14],[2,7,9,13],[2,7,10,15],[2,9,12,16],[2,10,14,16],[3,5,12,15],[3,5,13,14],[3,6,8,16],[3,6,8,16],[3,7,9,13],[3,7,10,12],[3,9,11,15],[3,10,11,14],[4,5,9,14],[4,5,10,15],[4,6,9,14],[4,6,10,12],[4,7,11,16],[4,7,11,16],[4,8,12,13],[4,8,13,15],[5,9,12,16],[5,10,13,16],[6,9,11,15],[6,10,11,13],[7,8,12,14],[7,8,14,15]]; G[156]:=Group([(2,3)(5,6)(11,16)(12,15),(2,5)(3,6)(4,7)(13,14),(1,8)(3,5)(4,11)(7,16)(12,13)(14,15)]); R[156]:=[]; RG[156]:=[]; # Design 156 / Resolution 1: autom. group order 8, decomposable R[156][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],[7,16,21,27],[8,15,22,28],[9,11,24,29],[10,12,23,30]]; RG[156][1]:=Group([(2,3)(5,6)(11,16)(12,15),(2,6)(3,5)(4,7)(11,16)(12,15)(13,14),(1,8)(2,6)(4,16)(7,11)(12,14)(13,15)]); # Design 157: 1 resolution(s), autom. group order 8, decomposable D[157]:=[[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],[2,5,8,11],[2,6,12,14],[2,6,13,14],[2,7,9,15],[2,7,9,16],[2,10,12,15],[2,10,13,16],[3,5,12,16],[3,5,13,15],[3,6,8,15],[3,6,8,16],[3,7,10,12],[3,7,10,13],[3,9,11,14],[3,9,11,14],[4,5,10,14],[4,5,10,14],[4,6,9,12],[4,6,9,13],[4,7,11,15],[4,7,11,16],[4,8,12,15],[4,8,13,16],[5,9,12,16],[5,9,13,15],[6,10,11,15],[6,10,11,16],[7,8,12,14],[7,8,13,14]]; G[157]:=Group([(12,13)(15,16),(2,4)(6,7)(8,10)(11,14)(12,15)(13,16),(2,8)(3,9)(4,10)(6,7)]); R[157]:=[]; RG[157]:=[]; # Design 157 / Resolution 1: autom. group order 8, decomposable R[157][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,13,20,32],[6,14,19,31],[7,15,22,27],[8,16,21,28],[9,11,23,30],[10,12,24,29]]; RG[157][1]:=Group([(12,13)(15,16),(2,10)(3,9)(4,8)(11,14)(12,15)(13,16),(2,4)(6,7)(8,10)(11,14)(12,15)(13,16)]); # Design 158: 1 resolution(s), autom. group order 8 D[158]:=[[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],[1,12,13,16],[1,14,15,16],[2,5,7,11],[2,5,8,11],[2,6,12,14],[2,6,13,15],[2,7,9,16],[2,8,9,16],[2,10,12,14],[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],[4,7,11,14],[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[158]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(12,15)(13,14),(1,2)(3,4)(6,11)(10,16)(13,14)]); R[158]:=[]; RG[158]:=[]; # Design 158 / Resolution 1: autom. group order 8 R[158][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,13,20,33],[6,14,19,31],[7,15,22,28],[8,16,21,27],[9,12,23,30],[10,11,24,29]]; RG[158][1]:=Group([(7,8)(12,15)(13,14),(5,9)(6,10)(11,16)(12,15)(13,14),(1,2)(3,4)(5,9)(6,16)(10,11)(12,15)]);