D:=[]; G:=[]; R:=[]; RG:=[]; # Design 1: 4 resolution(s), autom. group order 24, simple, decomposable D[1]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,11],[1,6,8,12],[1,9,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,11,14],[2,4,8,16],[2,5,8,14],[2,6,13,15],[2,7,9,13],[2,7,12,16],[2,9,10,11],[2,10,12,15],[3,4,5,15],[3,5,6,10],[3,6,9,12],[3,7,14,15],[3,8,9,16],[3,10,13,16],[3,11,12,13],[4,5,13,16],[4,6,7,9],[4,6,13,14],[4,7,11,12],[4,8,11,15],[4,10,12,14],[5,7,10,14],[5,8,12,13],[5,9,11,16],[5,9,12,15],[6,7,15,16],[6,8,10,11],[6,11,14,16],[7,8,10,13],[8,9,14,15]]; G[1]:=Group([(2,6)(3,8)(4,12)(9,16)(10,14)(13,15),(1,2)(3,5)(4,6)(7,14)(9,13)(10,15)(12,16)]); R[1]:=[]; RG[1]:=[]; # Design 1 / Resolution 1: autom. group order 8 R[1][1]:=[[1,35,38,39],[2,24,29,40],[3,18,28,34],[4,11,33,36],[5,14,23,31],[6,17,22,26],[7,16,19,37],[8,13,25,27],[9,12,21,32],[10,15,20,30]]; RG[1][1]:=Group([(1,7)(2,14)(4,15)(6,10)(9,16)(12,13),(1,9,7,16)(2,12,14,13)(4,6,15,10),(1,2)(3,5)(4,6)(7,14)(9,13)(10,15)(12,16)]); # Design 1 / Resolution 2: autom. group order 8 R[1][2]:=[[1,35,38,39],[2,24,29,40],[3,14,31,34],[4,11,33,36],[5,18,23,28],[6,17,22,26],[7,16,19,37],[8,13,25,27],[9,12,21,32],[10,15,20,30]]; RG[1][2]:=Group([(1,7)(2,14)(4,15)(6,10)(9,16)(12,13),(1,9,7,16)(2,12,14,13)(4,6,15,10),(1,15)(2,14)(4,7)(5,8)(6,9)(10,16)]); # Design 1 / Resolution 3: autom. group order 24, decomposable R[1][3]:=[[1,35,38,39],[2,24,29,40],[3,18,28,34],[4,11,33,36],[5,14,23,31],[6,17,22,26],[7,16,20,30],[8,13,25,27],[9,12,21,32],[10,15,19,37]]; RG[1][3]:=Group([(1,7)(2,14)(4,15)(6,10)(9,16)(12,13),(1,9,7,16)(2,12,14,13)(4,6,15,10),(1,15)(2,14)(4,7)(5,8)(6,9)(10,16),(2,6)(3,8)(4,12)(9,16)(10,14)(13,15)]); # Design 1 / Resolution 4: autom. group order 24 R[1][4]:=[[1,35,38,39],[2,24,29,40],[3,14,31,34],[4,13,25,36],[5,18,23,28],[6,17,22,26],[7,16,19,37],[8,11,27,33],[9,12,21,32],[10,15,20,30]]; RG[1][4]:=Group([(1,7)(2,14)(4,15)(6,10)(9,16)(12,13),(1,9,7,16)(2,12,14,13)(4,6,15,10),(1,15)(2,14)(4,7)(5,8)(6,9)(10,16),(2,6)(3,8)(4,12)(9,16)(10,14)(13,15)]); # Design 2: 4 resolution(s), autom. group order 24, simple D[2]:=[[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],[2,9,12,15],[2,10,12,13],[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],[4,8,13,16],[4,8,14,15],[5,6,12,14],[5,7,9,16],[5,8,13,14],[5,8,15,16],[6,7,8,10],[6,9,11,16],[6,10,11,14],[7,9,12,13],[7,10,12,15]]; G[2]:=Group([(3,5)(4,6)(8,11)(9,15)(10,13)(14,16),(2,4)(5,7)(8,12)(9,16)(10,14)(13,15),(1,8,12)(2,5,15)(3,14,10)(4,13,7)(6,16,9)]); R[2]:=[]; RG[2]:=[]; # Design 2 / Resolution 1: autom. group order 24 R[2][1]:=[[1,35,38,39],[2,24,30,40],[3,18,31,37],[4,17,25,34],[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[2][1]:=Group([(3,5)(4,6)(8,11)(9,15)(10,13)(14,16),(1,8)(2,16)(3,15)(4,5)(6,13)(7,14)(9,10)(11,12),(1,8)(2,13)(3,14)(4,5)(6,16)(7,15)]); # Design 2 / Resolution 2: autom. group order 8 R[2][2]:=[[1,35,38,39],[2,24,30,40],[3,18,31,37],[4,17,25,34],[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[2][2]:=Group([(3,5)(4,6)(8,11)(9,15)(10,13)(14,16),(1,12)(2,7)(3,10)(4,15)(5,13)(6,9),(1,11)(2,14)(3,6)(4,10)(5,9)(7,16)(8,12)(13,15)]); # Design 2 / Resolution 3: autom. group order 8 R[2][3]:=[[1,34,37,40],[2,25,31,39],[3,17,30,38],[4,18,24,35],[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[2][3]:=Group([(3,5)(4,6)(8,11)(9,15)(10,13)(14,16),(1,12)(2,7)(3,10)(4,15)(5,13)(6,9),(1,11)(2,14)(3,6)(4,10)(5,9)(7,16)(8,12)(13,15)]); # Design 2 / Resolution 4: autom. group order 24 R[2][4]:=[[1,34,37,40],[2,25,31,39],[3,17,30,38],[4,18,24,35],[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[2][4]:=Group([(3,5)(4,6)(8,11)(9,15)(10,13)(14,16),(2,6)(3,7)(9,10)(11,12)(13,16)(14,15),(1,12)(2,7)(3,10)(4,15)(5,13)(6,9)]); # Design 3: 2 resolution(s), autom. group order 24, simple D[3]:=[[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],[2,6,7,15],[2,7,13,14],[2,8,13,16],[2,9,10,14],[2,9,11,16],[3,4,6,16],[3,5,9,13],[3,6,11,15],[3,7,10,16],[3,8,12,14],[3,9,12,15],[3,11,13,14],[4,5,7,14],[4,5,8,16],[4,6,9,13],[4,7,11,12],[4,10,11,13],[4,10,14,15],[5,6,9,14],[5,8,11,15],[5,10,12,16],[5,10,13,15],[6,7,8,10],[6,8,12,13],[6,12,14,16],[7,8,9,11],[7,9,15,16]]; G[3]:=Group([(2,3,5)(4,7,6)(8,13,11)(9,12,10)(14,15,16),(2,14)(3,15)(4,8)(5,16)(6,11)(7,13),(1,9,12)(2,5,6,14,16,11)(3,13,8,15,7,4)]); R[3]:=[]; RG[3]:=[]; # Design 3 / Resolution 1: autom. group order 8 R[3][1]:=[[1,35,38,39],[2,23,30,40],[3,18,31,37],[4,14,25,34],[5,15,24,27],[6,17,19,33],[7,13,22,28],[8,16,21,26],[9,12,20,36],[10,11,29,32]]; RG[3][1]:=Group([(1,12)(3,11)(4,5)(6,15)(8,16)(9,10),(1,9)(2,13)(3,6)(7,14)(10,12)(11,15),(1,12)(2,14)(3,6)(4,16)(5,8)(7,13)(9,10)(11,15)]); # Design 3 / Resolution 2: autom. group order 24 R[3][2]:=[[1,35,38,39],[2,23,30,40],[3,18,31,37],[4,14,25,34],[5,16,24,26],[6,17,19,33],[7,13,22,28],[8,15,21,27],[9,12,20,36],[10,11,29,32]]; RG[3][2]:=Group([(1,12)(3,11)(4,5)(6,15)(8,16)(9,10),(1,9)(2,13)(3,6)(7,14)(10,12)(11,15),(1,12,10)(2,4,15,14,8,3)(5,11,13,16,6,7)]); # Design 4: 1 resolution(s), autom. group order 24, decomposable D[4]:=[[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],[2,5,12,16],[2,6,8,15],[2,7,11,14],[2,8,13,16],[2,9,10,13],[2,9,11,15],[2,10,12,14],[3,5,8,13],[3,5,10,16],[3,6,9,11],[3,6,13,15],[3,7,9,14],[3,7,10,12],[3,8,11,12],[3,14,15,16],[4,5,9,14],[4,5,12,15],[4,6,8,14],[4,6,10,16],[4,7,11,16],[4,7,13,15],[4,8,11,12],[4,9,10,13],[5,10,11,15],[5,11,13,14],[6,9,12,16],[6,12,13,14],[7,8,9,16],[7,8,10,15]]; G[4]:=Group([(5,6,7)(8,11,12)(9,10,13)(14,16,15),(2,3)(5,14,6,16,7,15)(8,10,11,13,12,9),(1,2)(3,4)(6,7)(8,12)(9,16)(10,14)(13,15)]); R[4]:=[]; RG[4]:=[]; # Design 4 / Resolution 1: autom. group order 24, decomposable R[4][1]:=[[1,35,38,39],[2,36,37,40],[3,16,26,33],[4,18,22,31],[5,15,23,28],[6,17,20,29],[7,12,21,32],[8,14,19,30],[9,13,24,27],[10,11,25,34]]; RG[4][1]:=Group([(5,7,6)(8,12,11)(9,13,10)(14,15,16),(2,3)(5,15,7,16,6,14)(8,9,12,13,11,10),(1,4)(5,13,6,9,7,10)(8,15,11,14,12,16),(1,2)(3,4)(6,7)(8,12)(9,16)(10,14)(13,15)]); # Design 5: 1 resolution(s), autom. group order 24 D[5]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,14,16],[1,12,15,16],[2,5,8,15],[2,5,8,15],[2,6,9,16],[2,6,9,16],[2,7,11,13],[2,7,11,13],[2,10,12,14],[2,10,12,14],[3,5,10,13],[3,5,14,16],[3,6,8,10],[3,6,12,13],[3,7,8,14],[3,7,12,16],[3,9,11,15],[3,9,11,15],[4,5,9,14],[4,5,11,12],[4,6,10,11],[4,6,12,15],[4,7,9,10],[4,7,14,15],[4,8,13,16],[4,8,13,16],[5,9,12,13],[5,10,11,16],[6,8,11,14],[6,13,14,15],[7,8,9,12],[7,10,15,16]]; G[5]:=Group([(3,4)(8,15)(9,16)(10,12)(11,13),(1,3)(5,15)(6,9)(7,11)(12,14),(1,5,7,6)(3,8,11,16)(4,15,13,9)(10,12)]); R[5]:=[]; RG[5]:=[]; # Design 5 / Resolution 1: autom. group order 24 R[5][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,33],[4,18,26,34],[5,15,20,30],[6,13,19,32],[7,11,24,29],[8,14,23,28],[9,12,22,31],[10,16,21,27]]; RG[5][1]:=Group([(3,4)(8,15)(9,16)(10,12)(11,13),(1,6,7,5)(3,9,11,15)(4,16,13,8),(1,3)(5,15)(6,9)(7,11)(12,14)]); # Design 6: 2 resolution(s), autom. group order 24, decomposable D[6]:=[[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],[2,5,12,13],[2,6,8,9],[2,7,10,11],[2,8,10,15],[2,9,12,16],[2,11,13,14],[2,14,15,16],[3,5,8,16],[3,5,13,15],[3,6,9,14],[3,6,11,15],[3,7,10,16],[3,7,12,14],[3,8,11,12],[3,9,10,13],[4,5,10,15],[4,5,11,16],[4,6,12,15],[4,6,13,14],[4,7,8,14],[4,7,9,16],[4,8,11,12],[4,9,10,13],[5,9,11,14],[5,10,12,14],[6,8,13,16],[6,10,12,16],[7,8,13,15],[7,9,11,15]]; G[6]:=Group([(5,6,7)(8,11,12)(9,10,13)(14,16,15),(3,4)(5,14)(6,15)(7,16)(9,10)(11,12),(1,2)(6,7)(8,13)(9,12)(10,11)(15,16),(1,3)(2,4)(5,8)(6,11)(7,12)(9,16)(10,15)(13,14)]); R[6]:=[]; RG[6]:=[]; # Design 6 / Resolution 1: autom. group order 24, decomposable R[6][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,23,29],[5,16,20,31],[6,15,21,28],[7,12,22,32],[8,14,19,30],[9,13,24,27],[10,11,25,34]]; RG[6][1]:=Group([(5,7,6)(8,12,11)(9,13,10)(14,15,16),(3,4)(5,15)(6,16)(7,14)(8,12)(10,13),(1,2)(5,7)(8,10)(9,11)(12,13)(14,15),(1,3)(2,4)(5,12,6,8,7,11)(9,14,10,16,13,15)]); # Design 6 / Resolution 2: autom. group order 24 R[6][2]:=[[1,35,38,39],[2,36,37,40],[3,18,25,34],[4,17,23,29],[5,16,20,31],[6,15,21,28],[7,12,22,32],[8,14,19,30],[9,13,24,27],[10,11,26,33]]; RG[6][2]:=Group([(5,7,6)(8,12,11)(9,13,10)(14,15,16),(3,4)(5,15)(6,16)(7,14)(8,12)(10,13),(1,2)(5,7)(8,10)(9,11)(12,13)(14,15),(1,3)(2,4)(5,12,6,8,7,11)(9,14,10,16,13,15)]); # Design 7: 1 resolution(s), autom. group order 24 D[7]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,13,14],[1,10,13,15],[1,11,15,16],[1,12,14,16],[2,5,8,9],[2,5,15,16],[2,6,8,10],[2,6,14,16],[2,7,9,14],[2,7,11,15],[2,10,12,13],[2,11,12,13],[3,5,8,12],[3,5,13,15],[3,6,8,11],[3,6,13,14],[3,7,10,15],[3,7,12,14],[3,9,10,16],[3,9,11,16],[4,5,9,13],[4,5,12,16],[4,6,10,16],[4,6,11,13],[4,7,9,11],[4,7,10,12],[4,8,14,15],[4,8,14,15],[5,10,11,14],[5,10,11,14],[6,9,12,15],[6,9,12,15],[7,8,13,16],[7,8,13,16]]; G[7]:=Group([(6,7)(8,15)(9,16)(10,11)(12,13),(2,3)(9,12)(10,11)(13,16),(1,4)(5,14)(6,8)(7,15)(9,16)(12,13),(1,6)(2,9)(3,12)(4,15)(13,16)]); R[7]:=[]; RG[7]:=[]; # Design 7 / Resolution 1: autom. group order 12 R[7][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,33],[4,18,25,34],[5,12,24,30],[6,14,23,27],[7,16,19,29],[8,15,21,28],[9,11,22,32],[10,13,20,31]]; RG[7][1]:=Group([(6,7)(8,15)(9,16)(10,11)(12,13),(1,6)(2,12)(3,9)(4,15)(10,11),(1,8,6,4,7,15)(2,16,12,3,13,9)(5,14)]); # Design 8: 2 resolution(s), autom. group order 24, simple D[8]:=[[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],[2,3,10,12],[2,4,6,14],[2,5,8,13],[2,7,8,10],[2,7,15,16],[2,9,11,14],[2,9,13,16],[2,11,12,15],[3,4,7,15],[3,5,9,11],[3,6,9,12],[3,6,14,16],[3,8,11,16],[3,8,13,15],[3,10,13,14],[4,5,11,13],[4,5,14,15],[4,6,12,13],[4,7,10,11],[4,8,12,16],[4,9,10,16],[5,6,7,16],[5,8,12,14],[5,9,10,15],[5,10,12,16],[6,7,8,9],[6,8,11,15],[6,10,13,15],[7,9,13,14],[7,11,12,14]]; G[8]:=Group([(3,5)(4,6)(8,10)(9,11)(12,13)(15,16),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15),(1,14)(2,7)(3,9)(4,13)(5,11)(6,12)(8,10)(15,16)]); R[8]:=[]; RG[8]:=[]; # Design 8 / Resolution 1: autom. group order 24 R[8][1]:=[[1,35,37,39],[2,24,31,40],[3,16,30,38],[4,18,25,32],[5,17,19,33],[6,12,23,34],[7,15,20,28],[8,13,22,29],[9,11,27,36],[10,14,21,26]]; RG[8][1]:=Group([(1,14)(2,7)(3,11)(4,12)(5,9)(6,13),(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15)]); # Design 8 / Resolution 2: autom. group order 8 R[8][2]:=[[1,35,37,39],[2,24,31,40],[3,16,30,38],[4,18,25,32],[5,17,19,33],[6,12,23,34],[7,15,20,28],[8,13,22,29],[9,14,21,27],[10,11,26,36]]; RG[8][2]:=Group([(1,16)(2,10)(3,12)(4,5)(6,9)(7,8)(11,13)(14,15),(1,14)(2,7)(3,9)(4,13)(5,11)(6,12)(8,10)(15,16),(2,3)(6,7)(8,9)(10,12)(11,13)(14,15)]); # Design 9: 1 resolution(s), autom. group order 24 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],[1,11,14,15],[1,12,14,16],[1,13,15,16],[2,5,7,15],[2,5,8,12],[2,6,10,13],[2,6,11,14],[2,7,10,12],[2,8,11,15],[2,9,13,16],[2,9,14,16],[3,5,9,13],[3,5,12,14],[3,6,7,16],[3,6,11,13],[3,7,9,11],[3,8,10,15],[3,8,12,16],[3,10,14,15],[4,5,9,14],[4,5,13,15],[4,6,8,16],[4,6,10,14],[4,7,11,12],[4,7,15,16],[4,8,9,10],[4,11,12,13],[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[9]:=Group([(3,4)(7,8)(10,11)(12,15)(13,14),(1,2)(5,16)(6,9)(7,13)(8,14),(1,3)(2,4)(5,10)(6,15)(7,14)(9,12)(11,16),(1,5,6)(2,16,9)(3,10,15)(4,11,12)]); R[9]:=[]; RG[9]:=[]; # Design 9 / Resolution 1: autom. group order 24 R[9][1]:=[[1,35,37,39],[2,36,38,40],[3,18,24,34],[4,17,26,31],[5,14,25,28],[6,13,20,32],[7,16,21,27],[8,15,19,29],[9,11,22,33],[10,12,23,30]]; RG[9][1]:=Group([(3,4)(7,8)(10,11)(12,15)(13,14),(1,2)(5,16)(6,9)(7,13)(8,14),(1,3)(2,4)(5,10)(6,15)(7,14)(9,12)(11,16),(1,6,5)(2,9,16)(3,15,10)(4,12,11)]); # Design 10: 1 resolution(s), autom. group order 24, decomposable D[10]:=[[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],[2,6,12,14],[2,7,9,13],[2,7,9,16],[2,10,12,16],[2,10,13,15],[3,5,13,16],[3,5,13,16],[3,6,8,12],[3,6,8,15],[3,7,10,12],[3,7,10,15],[3,9,11,14],[3,9,11,14],[4,5,10,11],[4,5,10,14],[4,6,9,13],[4,6,9,16],[4,7,11,15],[4,7,12,14],[4,8,12,16],[4,8,13,15],[5,9,12,15],[5,9,12,15],[6,10,11,16],[6,10,13,14],[7,8,11,16],[7,8,13,14]]; G[10]:=Group([(11,14)(12,15)(13,16),(5,9)(6,10)(7,8)(11,13)(14,16),(2,4)(6,7)(8,10),(2,6)(3,5)(4,7)(11,12)(14,15)]); R[10]:=[]; RG[10]:=[]; # Design 10 / Resolution 1: autom. group order 24, decomposable R[10][1]:=[[1,35,37,40],[2,36,38,39],[3,17,25,34],[4,18,26,33],[5,13,19,32],[6,14,20,31],[7,12,24,30],[8,16,22,28],[9,11,23,29],[10,15,21,27]]; RG[10][1]:=Group([(11,14)(12,15)(13,16),(5,9)(6,10)(7,8)(11,16)(12,15)(13,14),(2,4)(6,7)(8,10),(2,8)(3,9)(4,10)(6,7)(12,13)(15,16)]); # Design 11: 1 resolution(s), autom. group order 24, decomposable D[11]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,11],[1,10,12,13],[1,11,14,15],[1,12,13,16],[1,14,15,16],[2,5,8,12],[2,5,8,14],[2,6,9,15],[2,6,12,15],[2,7,9,13],[2,7,13,14],[2,10,11,16],[2,10,11,16],[3,5,13,16],[3,5,15,16],[3,6,8,10],[3,6,10,13],[3,7,8,11],[3,7,11,15],[3,9,12,14],[3,9,12,14],[4,5,10,14],[4,5,11,12],[4,6,9,16],[4,6,11,12],[4,7,9,16],[4,7,10,14],[4,8,13,15],[4,8,13,15],[5,9,10,15],[5,9,11,13],[6,8,14,16],[6,11,13,14],[7,8,12,16],[7,10,12,15]]; G[11]:=Group([(6,7)(10,11)(12,14)(13,15),(5,6)(8,15)(9,14)(10,16),(1,2,3,4)(5,10,12,8,6,11,9,15,7,16,14,13)]); R[11]:=[]; RG[11]:=[]; # Design 11 / Resolution 1: autom. group order 24, decomposable R[11][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,33],[4,18,26,34],[5,16,20,30],[6,14,19,32],[7,12,24,29],[8,11,22,31],[9,13,23,27],[10,15,21,28]]; RG[11][1]:=Group([(6,7)(10,11)(12,14)(13,15),(5,6)(8,15)(9,14)(10,16),(1,3)(2,4)(5,9)(6,14)(7,12)(8,16)(10,15)(11,13),(1,2,3,4)(5,11,14,8,7,10,9,13,6,16,12,15)]); # Design 12: 4 resolution(s), autom. group order 24, decomposable D[12]:=[[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],[2,7,9,14],[2,7,11,15],[2,10,12,13],[2,10,12,13],[3,5,13,14],[3,5,13,15],[3,6,8,10],[3,6,8,12],[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],[4,7,9,10],[4,7,11,12],[4,8,14,15],[4,8,14,15],[5,9,12,15],[5,10,11,14],[6,9,12,15],[6,10,11,14],[7,8,13,16],[7,8,13,16]]; G[12]:=Group([(9,11)(10,12)(14,15),(3,4)(5,6)(8,16)(9,14)(10,12)(11,15),(2,3)(5,6)(9,10)(11,12)(13,16)(14,15),(1,7)(2,8,3,13,4,16)(5,6)(9,10,15,11,12,14)]); R[12]:=[]; RG[12]:=[]; # Design 12 / Resolution 1: autom. group order 24 R[12][1]:=[[1,35,38,39],[2,36,37,40],[3,17,25,33],[4,18,26,34],[5,13,20,32],[6,14,19,31],[7,16,22,27],[8,12,24,29],[9,15,21,28],[10,11,23,30]]; RG[12][1]:=Group([(9,11)(10,12)(14,15),(3,4)(5,6)(8,16)(9,15)(11,14),(2,3)(5,6)(9,12)(10,11)(13,16),(1,7)(2,16)(3,13)(4,8)(9,12)(10,11)]); # Design 12 / Resolution 2: autom. group order 8 R[12][2]:=[[1,35,38,39],[2,36,37,40],[3,17,25,33],[4,18,26,34],[5,13,20,32],[6,14,19,31],[7,16,22,27],[8,11,24,30],[9,15,21,28],[10,12,23,29]]; RG[12][2]:=Group([(9,11)(10,12)(14,15),(2,4)(5,6)(8,13)(10,14)(12,15),(1,7)(2,13)(3,16)(4,8)(5,6)]); # Design 12 / Resolution 3: autom. group order 8 R[12][3]:=[[1,35,38,39],[2,36,37,40],[3,17,25,33],[4,18,26,34],[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[12][3]:=Group([(9,11)(10,12)(14,15),(2,3)(5,6)(9,12)(10,11)(13,16),(1,7)(2,16)(3,13)(4,8)(9,12)(10,11)]); # Design 12 / Resolution 4: autom. group order 24, decomposable R[12][4]:=[[1,35,38,39],[2,36,37,40],[3,17,25,33],[4,18,26,34],[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[12][4]:=Group([(9,11)(10,12)(14,15),(3,4)(5,6)(8,16)(9,15)(11,14),(2,3)(5,6)(9,12)(10,11)(13,16),(1,7)(2,16)(3,13)(4,8)(9,12)(10,11)]); # Design 13: 1 resolution(s), autom. group order 24 D[13]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,13,14],[1,12,15,16],[2,5,7,13],[2,5,8,13],[2,6,9,15],[2,6,11,15],[2,7,9,12],[2,8,10,11],[2,10,14,16],[2,12,14,16],[3,5,10,14],[3,5,12,14],[3,6,7,16],[3,6,8,16],[3,7,11,12],[3,8,9,10],[3,9,13,15],[3,11,13,15],[4,5,10,15],[4,5,12,15],[4,6,9,14],[4,6,11,14],[4,7,10,11],[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[13]:=Group([(7,8)(9,11)(10,12),(2,3,4)(5,13,15)(6,14,16)(7,9,10)(8,11,12),(1,2)(3,4)(6,13)(10,12)(14,15)]); R[13]:=[]; RG[13]:=[]; # Design 13 / Resolution 1: autom. group order 24 R[13][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[13][1]:=Group([(7,8)(9,11)(10,12),(2,4,3)(5,15,13)(6,16,14)(7,10,9)(8,12,11),(1,2)(3,4)(6,13)(10,12)(14,15)]); # Design 14: 1 resolution(s), autom. group order 24 D[14]:=[[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],[2,7,9,14],[2,7,10,13],[2,9,13,16],[2,10,14,16],[3,5,13,14],[3,5,13,14],[3,6,8,16],[3,6,8,16],[3,7,9,12],[3,7,10,15],[3,9,11,15],[3,10,11,12],[4,5,9,12],[4,5,10,15],[4,6,9,13],[4,6,10,14],[4,7,11,16],[4,7,11,16],[4,8,12,13],[4,8,14,15],[5,9,15,16],[5,10,12,16],[6,9,11,14],[6,10,11,13],[7,8,12,14],[7,8,13,15]]; G[14]:=Group([(9,10)(12,15)(13,14),(2,6)(3,5)(4,7)(11,16)(13,14),(1,2,3)(5,8,6)(7,11,16)(9,12,13)(10,15,14)]); R[14]:=[]; RG[14]:=[]; # Design 14 / Resolution 1: autom. group order 24 R[14][1]:=[[1,35,38,39],[2,36,37,40],[3,17,26,34],[4,18,25,33],[5,13,19,31],[6,14,20,32],[7,15,21,28],[8,16,22,27],[9,11,24,29],[10,12,23,30]]; RG[14][1]:=Group([(9,10)(12,15)(13,14),(1,2,3)(5,8,6)(7,11,16)(9,12,13)(10,15,14),(2,6)(3,5)(4,7)(11,16)(13,14)]); # Design 15: 1 resolution(s), autom. group order 24 D[15]:=[[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],[2,5,10,13],[2,6,8,9],[2,7,8,12],[2,7,14,16],[2,9,10,16],[2,11,12,15],[2,11,13,14],[3,5,7,16],[3,5,12,13],[3,6,11,12],[3,6,14,15],[3,7,9,10],[3,8,10,15],[3,8,11,16],[3,9,13,14],[4,5,8,11],[4,5,15,16],[4,6,7,14],[4,6,9,13],[4,7,10,11],[4,8,12,14],[4,9,12,16],[4,10,13,15],[5,9,11,14],[5,10,12,14],[6,8,13,16],[6,10,12,16],[7,8,13,15],[7,9,11,15]]; G[15]:=Group([(3,4)(5,16)(6,14)(7,15)(8,11)(9,13),(2,3)(5,14)(6,15)(7,16)(9,10)(11,12),(1,2)(5,6)(7,15)(8,9)(11,13)(14,16)]); R[15]:=[]; RG[15]:=[]; # Design 15 / Resolution 1: autom. group order 24 R[15][1]:=[[1,35,38,39],[2,36,37,40],[3,18,24,33],[4,15,21,34],[5,14,26,28],[6,16,22,27],[7,17,19,30],[8,12,25,29],[9,11,23,32],[10,13,20,31]]; RG[15][1]:=Group([(3,4)(5,16)(6,14)(7,15)(8,11)(9,13),(2,3)(5,14)(6,15)(7,16)(9,10)(11,12),(1,2)(5,6)(7,15)(8,9)(11,13)(14,16)]); # Design 16: 1 resolution(s), autom. group order 24, decomposable D[16]:=[[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],[2,7,9,15],[2,8,9,11],[2,10,14,16],[2,11,12,14],[3,5,11,16],[3,5,12,15],[3,6,7,14],[3,6,8,14],[3,7,11,13],[3,8,10,13],[3,9,10,16],[3,9,12,15],[4,5,10,12],[4,5,11,16],[4,6,9,12],[4,6,9,16],[4,7,10,14],[4,7,11,13],[4,8,13,15],[4,8,14,15],[5,9,13,14],[5,9,13,14],[6,10,11,15],[6,10,11,15],[7,8,12,16],[7,8,12,16]]; G[16]:=Group([(3,4)(5,16)(6,15)(7,13)(8,14)(9,12),(1,2)(5,7)(6,15)(8,9)(12,14)(13,16),(1,3)(2,4)(5,14)(7,8)(9,13)(12,16),(1,5,16)(2,9,12)(3,13,8)(4,14,7)(6,11,15)]); R[16]:=[]; RG[16]:=[]; # Design 16 / Resolution 1: autom. group order 24, decomposable R[16][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,33],[4,17,26,32],[5,13,19,34],[6,14,20,31],[7,15,22,28],[8,11,24,30],[9,16,21,27],[10,12,23,29]]; RG[16][1]:=Group([(3,4)(5,16)(6,15)(7,13)(8,14)(9,12),(1,3)(2,4)(5,14)(7,8)(9,13)(12,16),(1,16)(2,12)(3,7)(4,8)(6,11)(13,14)]); # Design 17: 1 resolution(s), autom. group order 24, decomposable D[17]:=[[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],[2,5,8,12],[2,6,10,15],[2,6,11,13],[2,7,11,14],[2,8,10,12],[2,9,13,16],[2,9,15,16],[3,5,9,15],[3,5,12,15],[3,6,7,16],[3,6,11,13],[3,7,12,16],[3,8,9,11],[3,8,10,14],[3,10,13,14],[4,5,9,13],[4,5,13,14],[4,6,8,16],[4,6,10,15],[4,7,9,10],[4,7,11,12],[4,8,14,16],[4,11,12,15],[5,10,11,16],[5,10,11,16],[6,9,12,14],[6,9,12,14],[7,8,13,15],[7,8,13,15]]; G[17]:=Group([(3,4)(7,8)(10,11)(12,14)(13,15),(1,2)(5,16)(6,9)(7,15)(8,13),(1,3)(2,4)(5,14)(6,10)(7,13)(9,11)(12,16),(1,5,6)(2,16,9)(3,10,14)(4,11,12)]); R[17]:=[]; RG[17]:=[]; # Design 17 / Resolution 1: autom. group order 24, decomposable R[17][1]:=[[1,35,37,39],[2,36,38,40],[3,17,25,34],[4,18,26,32],[5,14,20,33],[6,13,23,28],[7,15,19,29],[8,16,21,27],[9,11,24,30],[10,12,22,31]]; RG[17][1]:=Group([(3,4)(7,8)(10,11)(12,14)(13,15),(1,3)(2,4)(5,14)(6,10)(7,13)(9,11)(12,16),(1,6,5)(2,9,16)(3,14,10)(4,12,11)]); # Design 18: 2 resolution(s), autom. group order 24, decomposable D[18]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,8],[1,7,9,10],[1,8,11,12],[1,9,13,14],[1,10,15,16],[1,11,15,16],[1,12,13,14],[2,5,7,15],[2,5,11,15],[2,6,8,13],[2,6,9,13],[2,7,9,10],[2,8,11,12],[2,10,14,16],[2,12,14,16],[3,5,9,12],[3,5,13,16],[3,6,10,11],[3,6,14,15],[3,7,8,14],[3,7,8,16],[3,9,12,15],[3,10,11,13],[4,5,10,12],[4,5,13,16],[4,6,10,12],[4,6,14,15],[4,7,11,13],[4,7,11,14],[4,8,9,15],[4,8,9,16],[5,8,10,14],[5,9,11,14],[6,7,12,16],[6,9,11,16],[7,12,13,15],[8,10,13,15]]; G[18]:=Group([(5,6)(7,8)(9,11)(10,12)(13,15)(14,16),(5,13,16)(6,14,15)(7,9,10)(8,12,11),(1,2)(3,4)(6,15)(8,11)(9,10)(13,16),(1,3,2,4)(5,7,14,12)(6,8,16,10)(9,15,11,13)]); R[18]:=[]; RG[18]:=[]; # Design 18 / Resolution 1: autom. group order 24, decomposable R[18][1]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,16,20,30],[6,15,22,28],[7,12,24,29],[8,13,19,32],[9,14,23,27],[10,11,21,34]]; RG[18][1]:=Group([(5,14)(6,13)(7,12)(8,9)(10,11)(15,16),(5,15)(6,16)(7,11)(8,10)(9,12)(13,14),(1,2)(3,4)(6,15)(8,11)(9,10)(13,16),(1,4,2,3)(5,8,15,7,16,11,14,10,13,12,6,9)]); # Design 18 / Resolution 2: autom. group order 24 R[18][2]:=[[1,35,38,39],[2,36,37,40],[3,18,26,33],[4,17,25,31],[5,16,22,28],[6,15,20,30],[7,12,24,29],[8,13,19,32],[9,14,23,27],[10,11,21,34]]; RG[18][2]:=Group([(5,15)(6,16)(7,11)(8,10)(9,12)(13,14),(5,13,16)(6,14,15)(7,9,10)(8,12,11),(1,2)(3,4)(5,13)(7,9)(11,12)(14,15),(1,3,2,4)(5,9,6,12,13,10,14,11,16,7,15,8)]); # Design 19: 1 resolution(s), autom. group order 24, decomposable D[19]:=[[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],[2,5,13,16],[2,6,9,11],[2,6,9,13],[2,7,12,15],[2,8,10,14],[2,8,11,12],[2,10,14,16],[3,5,10,12],[3,5,12,14],[3,6,8,16],[3,6,14,15],[3,7,9,10],[3,7,11,13],[3,8,9,16],[3,11,13,15],[4,5,10,11],[4,5,13,16],[4,6,10,11],[4,6,14,15],[4,7,8,13],[4,7,8,14],[4,9,12,15],[4,9,12,16],[5,8,9,15],[5,9,11,14],[6,7,12,16],[6,10,12,13],[7,11,14,16],[8,10,13,15]]; G[19]:=Group([(5,13,16)(6,14,15)(7,9,10)(8,12,11),(2,3)(5,6)(7,8)(9,12)(10,11)(13,14)(15,16),(1,2)(3,4)(5,7)(6,15)(8,12)(9,16)(10,13)]); R[19]:=[]; RG[19]:=[]; # Design 19 / Resolution 1: autom. group order 24, decomposable R[19][1]:=[[1,35,38,39],[2,36,37,40],[3,16,26,34],[4,18,24,33],[5,17,22,28],[6,12,23,30],[7,15,21,27],[8,13,20,31],[9,14,19,32],[10,11,25,29]]; RG[19][1]:=Group([(5,16,13)(6,15,14)(7,10,9)(8,11,12),(2,3)(5,15,13,6,16,14)(7,11,9,8,10,12),(1,4)(5,8,13,12,16,11)(6,7,14,9,15,10),(1,2)(3,4)(5,9)(7,13)(8,11)(10,16)(14,15)]); # Design 20: 1 resolution(s), autom. group order 24, decomposable D[20]:=[[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],[2,6,12,14],[2,6,14,16],[2,7,9,15],[2,8,9,11],[2,10,12,13],[2,11,13,16],[3,5,11,13],[3,5,11,14],[3,6,7,12],[3,6,9,13],[3,7,10,16],[3,8,10,16],[3,8,12,15],[3,9,14,15],[4,5,10,14],[4,5,13,15],[4,6,8,16],[4,6,9,13],[4,7,11,12],[4,7,11,16],[4,8,12,15],[4,9,10,14],[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[20]:=Group([(5,16)(6,15)(7,14)(8,13)(9,12)(10,11),(1,2)(3,4)(5,7)(6,15)(8,9)(12,13)(14,16),(1,3)(2,4)(6,11)(7,14)(8,13)(10,15),(1,5)(2,9)(3,16)(4,12)(7,8)(11,15)(13,14)]); R[20]:=[]; RG[20]:=[]; # Design 20 / Resolution 1: autom. group order 24, decomposable R[20][1]:=[[1,35,37,39],[2,36,38,40],[3,18,25,34],[4,17,26,32],[5,14,19,33],[6,13,23,28],[7,15,20,29],[8,11,24,30],[9,16,21,27],[10,12,22,31]]; RG[20][1]:=Group([(1,2)(3,4)(5,14)(7,16)(8,12)(9,13)(10,11),(1,13)(2,14)(3,8)(4,7)(5,9)(10,15)(12,16),(1,2)(3,4)(5,7)(6,15)(8,9)(12,13)(14,16)]); # Design 21: 1 resolution(s), autom. group order 24, decomposable D[21]:=[[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],[2,6,9,11],[2,6,12,14],[2,7,10,15],[2,7,12,16],[2,9,13,16],[2,10,13,15],[3,5,10,12],[3,5,13,15],[3,6,8,16],[3,6,13,14],[3,7,9,12],[3,7,9,15],[3,8,11,16],[3,10,11,14],[4,5,9,14],[4,5,11,15],[4,6,10,13],[4,6,10,16],[4,7,8,13],[4,7,11,16],[4,8,12,15],[4,9,12,14],[5,9,13,16],[5,10,12,16],[6,8,12,15],[6,9,11,15],[7,8,13,14],[7,10,11,14]]; G[21]:=Group([(3,4)(5,15)(6,16)(7,14)(8,10)(11,13),(2,3)(5,16)(6,14)(7,15)(9,10)(12,13),(2,5,12,15)(3,6,13,14)(4,7,11,16)(8,10)]); R[21]:=[]; RG[21]:=[]; # Design 21 / Resolution 1: autom. group order 24, decomposable R[21][1]:=[[1,35,37,40],[2,36,38,39],[3,17,26,33],[4,18,25,34],[5,14,20,32],[6,16,22,28],[7,12,24,30],[8,15,21,27],[9,11,23,29],[10,13,19,31]]; RG[21][1]:=Group([(3,4)(5,15)(6,16)(7,14)(8,10)(11,13),(2,3)(5,16)(6,14)(7,15)(9,10)(12,13),(2,6,12,14)(3,7,13,16)(4,5,11,15)(8,9)]); # Design 22: 1 resolution(s), autom. group order 24, decomposable D[22]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,11,12],[1,9,10,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,9],[2,5,8,15],[2,6,11,13],[2,6,13,15],[2,7,9,14],[2,7,11,14],[2,10,12,16],[2,10,12,16],[3,5,10,14],[3,5,14,16],[3,6,8,12],[3,6,8,16],[3,7,10,13],[3,7,12,13],[3,9,11,15],[3,9,11,15],[4,5,10,11],[4,5,12,15],[4,6,9,16],[4,6,10,11],[4,7,9,16],[4,7,12,15],[4,8,13,14],[4,8,13,14],[5,9,12,13],[5,11,13,16],[6,9,12,14],[6,10,14,15],[7,8,10,15],[7,8,11,16]]; G[22]:=Group([(5,6,7)(8,13,14)(9,15,11)(10,16,12),(2,3)(6,7)(8,14)(9,16)(10,15)(11,12),(1,2)(3,4)(5,10)(6,16)(7,12)(8,9)(11,14)(13,15)]); R[22]:=[]; RG[22]:=[]; # Design 22 / Resolution 1: autom. group order 24, decomposable R[22][1]:=[[1,35,38,40],[2,36,37,39],[3,17,25,33],[4,18,26,34],[5,13,20,32],[6,14,19,31],[7,16,22,28],[8,12,23,29],[9,15,21,27],[10,11,24,30]]; RG[22][1]:=Group([(2,3)(6,7)(8,14)(9,16)(10,15)(11,12),(2,3)(5,7)(8,13)(9,10)(11,16)(12,15),(1,4)(2,3)(5,13)(6,14)(7,8)(9,12)(10,15)(11,16),(1,2)(3,4)(5,12,6,10,7,16)(8,11,13,9,14,15)]);