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