Rx:=[]; Gx:=[]; # Design 129: 1 resolution(s), autom. group order 6, simple Rx[1]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,7,11,12,13],[3,4,5,8,9,10,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,10,11,14],[2,3,7,8,9,12,13]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]],[[1,5,6,8,9,13,14],[2,3,4,7,10,11,12]]]; Gx[1]:=Group([(1,2,3)(4,6,5)(9,10,12)(11,14,13),(1,4)(2,5)(3,6)(9,14)(10,11)(12,13)]); # Design 130: 1 resolution(s), autom. group order 6, simple Rx[2]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,9,13,14],[3,5,6,7,10,11,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,7,9,10,11],[3,4,5,8,12,13,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[2]:=Group([(1,10)(3,8)(4,13)(6,7)(9,11),(1,3)(2,4)(5,6)(8,11)(9,10)]); # Design 184: 1 resolution(s), autom. group order 6, simple Rx[3]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]],[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[3]:=Group([(1,2)(3,4)(8,9)(10,11)(12,13),(1,3,9)(2,4,8)(6,7,14)]); # Design 224: 1 resolution(s), autom. group order 6, simple Rx[4]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,11,12,14],[2,5,6,8,9,10,13]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]]]; Gx[4]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14),(1,4,3,6,2,5)(9,14,10,13,12,11)]); # Design 324: 1 resolution(s), autom. group order 6, simple Rx[5]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]]]; Gx[5]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14),(1,4,3,6,2,5)(9,14,10,13,12,11)]); # Design 360: 1 resolution(s), autom. group order 6, simple Rx[6]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,8,9,12,13],[3,4,6,7,10,11,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,3,4,8,9,10,13],[2,5,6,7,11,12,14]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[6]:=Group([(3,5)(4,6)(7,8)(10,13),(1,3)(2,4)(7,8)(12,13)]); # Design 518: 1 resolution(s), autom. group order 6, simple Rx[7]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,10,11,14],[2,3,7,8,9,12,13]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]],[[1,5,6,8,9,13,14],[2,3,4,7,10,11,12]]]; Gx[7]:=Group([(1,2,3)(4,6,5)(9,10,12)(11,14,13),(1,4)(2,5)(3,6)(9,14)(10,11)(12,13)]); # Design 529: 1 resolution(s), autom. group order 6, simple Rx[8]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]],[[1,2,3,7,8,13,14],[4,5,6,9,10,11,12]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[8]:=Group([(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,5,11)(2,6,12)(3,9,7)(4,10,8)]); # Design 543: 1 resolution(s), autom. group order 6, simple Rx[9]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[9]:=Group([(5,6,7)(8,10,12)(9,11,13),(1,3)(2,4)(6,7)(8,9)(10,13)(11,12)]); # Design 627: 1 resolution(s), autom. group order 6, simple Rx[10]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,11,12,13,14],[2,4,5,7,8,9,10]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[10]:=Group([(1,2)(3,6)(4,5)(7,8)(9,11)(10,12)(13,14),(1,3,5)(2,4,6)(9,13,10)(11,12,14)]); # Design 651: 1 resolution(s), autom. group order 6, simple Rx[11]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[11]:=Group([(5,6,7)(8,10,12)(9,11,13),(1,3)(2,4)(6,7)(8,9)(10,13)(11,12)]); # Design 695: 1 resolution(s), autom. group order 6, simple Rx[12]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]],[[1,2,3,7,11,13,14],[4,5,6,8,9,10,12]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,8,10,11,12,14],[3,4,5,6,7,9,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[12]:=Group([(1,4)(2,3)(5,10)(6,8)(7,12)(9,11)(13,14),(1,6,9)(2,5,7)(3,10,12)(4,8,11)]); # Design 878: 1 resolution(s), autom. group order 6, simple Rx[13]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]],[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[13]:=Group([(1,2)(3,4)(8,9)(10,11)(12,13),(1,3,8,2,4,9)(6,7,14)(10,11)(12,13)]); # Design 887: 1 resolution(s), autom. group order 6, simple Rx[14]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]],[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[14]:=Group([(1,2)(3,4)(8,9)(10,11)(12,13),(1,3,8,2,4,9)(6,7,14)(10,11)(12,13)]); # Design 891: 1 resolution(s), autom. group order 6, simple Rx[15]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,9,12,13],[5,6,7,8,10,11,14]],[[1,2,3,7,8,10,14],[4,5,6,9,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[15]:=Group([(2,10)(4,11)(6,12),(1,3,5)(2,4,6)(9,14,13)(10,11,12)]); # Design 931: 1 resolution(s), autom. group order 6, simple Rx[16]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,11],[3,4,5,8,12,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[16]:=Group([(5,6,7)(8,10,12)(9,11,13),(3,4)]); # Design 961: 1 resolution(s), autom. group order 6, simple Rx[17]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,10,11,12],[2,5,6,8,9,13,14]],[[1,3,4,8,9,12,13],[2,5,6,7,10,11,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[17]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14),(1,4,3,6,2,5)(9,14,10,13,12,11)]); # Design 1070: 1 resolution(s), autom. group order 6, simple Rx[18]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]],[[1,2,3,7,11,13,14],[4,5,6,8,9,10,12]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[18]:=Group([(1,4)(2,3)(5,9)(6,10)(7,12)(8,11)(13,14),(1,10,7,4,6,12)(2,5,8,3,9,11)(13,14)]); # Design 1255: 1 resolution(s), autom. group order 6, simple Rx[19]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,3,4,8,9,12,13],[2,5,6,7,10,11,14]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[19]:=Group([(1,3,5)(2,4,6)(10,13,12),(1,10,3,13,5,12)(2,6,4)(7,11)(8,9)]); # Design 1277: 1 resolution(s), autom. group order 6, simple Rx[20]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,4,8,10,11,12],[2,5,6,7,9,13,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[20]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14),(1,4,3,6,2,5)(9,14,10,13,12,11)]); # Design 1324: 1 resolution(s), autom. group order 6, simple Rx[21]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]],[[1,2,3,7,9,13,14],[4,5,6,8,10,11,12]],[[1,2,4,9,12,13,14],[3,5,6,7,8,10,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,8,9,10,12,13],[2,4,5,6,7,11,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[21]:=Group([(1,4)(2,3)(5,10)(6,8)(7,12)(9,11)(13,14),(1,6,11,4,8,9)(2,5,7,3,10,12)(13,14)]); # Design 1522: 1 resolution(s), autom. group order 6, simple Rx[22]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,8,12,13],[5,6,7,9,10,11,14]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,8,10,11,12,13],[2,4,5,6,7,9,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[22]:=Group([(1,2,12,3,4,13)(5,7,11)(6,10,9)]); # Design 1554: 1 resolution(s), autom. group order 6, simple Rx[23]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]],[[1,2,3,4,11,12,13],[5,6,7,8,9,10,14]],[[1,2,3,7,10,11,14],[4,5,6,8,9,12,13]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,7,12,13],[2,4,8,9,10,11,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[23]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,12,13),(1,11)(2,12)(3,14)(4,13)(5,10)(6,9)(7,8)]); # Design 1746: 1 resolution(s), autom. group order 6, simple Rx[24]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,9,12,13],[5,6,7,8,10,11,14]],[[1,2,3,7,8,10,14],[4,5,6,9,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[24]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,11,12),(1,10,5,12,3,11)(2,14,6,9,4,13)(7,8)]); # Design 1811: 1 resolution(s), autom. group order 6, simple Rx[25]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,9,11,14],[3,5,6,7,10,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[25]:=Group([(3,10)(4,14)(5,7)(6,12)(8,11),(1,4,14)(2,3,10)(6,9,12)(8,11,13)]); # Design 1837: 1 resolution(s), autom. group order 6, simple Rx[26]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,10,11,12],[5,6,7,8,9,13,14]],[[1,2,3,4,10,13,14],[5,6,7,8,9,11,12]],[[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]],[[1,2,4,6,7,12,14],[3,5,8,9,10,11,13]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,8,9,12,14],[2,5,6,7,10,11,13]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,9,10,11],[2,3,7,8,12,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,4,7,8,11,13,14],[2,3,5,6,9,10,12]],[[1,5,6,7,10,12,14],[2,3,4,8,9,11,13]]]; Gx[26]:=Group([(1,3)(2,4)(6,8)(7,9)(11,14)(12,13),(1,6,13)(2,9,11)(3,8,12)(4,7,14)]); # Design 1848: 1 resolution(s), autom. group order 6, simple Rx[27]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[27]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12),(1,9)(2,12)(4,10)(6,7)(8,11)]); # Design 2010: 1 resolution(s), autom. group order 6, simple Rx[28]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,10,11,12],[5,6,7,8,9,13,14]],[[1,2,3,4,10,13,14],[5,6,7,8,9,11,12]],[[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]],[[1,2,4,6,7,12,14],[3,5,8,9,10,11,13]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,8,9,12,14],[2,5,6,7,10,11,13]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,9,10,13],[2,3,7,8,11,12,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,10,12,14],[2,3,4,8,9,11,13]]]; Gx[28]:=Group([(1,3)(2,4)(6,8)(7,9)(11,14)(12,13),(1,6,12,3,8,13)(2,9,14,4,7,11)]); # Design 2022: 1 resolution(s), autom. group order 6, simple Rx[29]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,9,10,14],[4,5,6,7,11,12,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,7,10,11,13],[3,4,5,8,9,12,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,12,13,14],[3,4,5,6,8,10,11]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[29]:=Group([(2,11)(3,14)(5,7)(6,8)(10,12),(1,3)(2,4)(5,7)(8,13)(9,12)]); # Design 2128: 1 resolution(s), autom. group order 6, simple Rx[30]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,9,12,13],[5,6,7,8,10,11,14]],[[1,2,3,7,8,10,14],[4,5,6,9,11,12,13]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[30]:=Group([(1,3,5)(2,4,6)(9,14,11)(10,12,13),(1,9)(2,13)(3,14)(4,10)(5,11)(6,12)]); # Design 2204: 1 resolution(s), autom. group order 6, simple Rx[31]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,12,13,14],[4,5,6,7,9,10,11]],[[1,2,4,8,9,10,14],[3,5,6,7,11,12,13]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[31]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11),(1,10)(3,12)(4,8)(6,7)(11,13)]); # Design 2283: 1 resolution(s), autom. group order 6, simple Rx[32]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]],[[1,2,3,4,11,12,13],[5,6,7,8,9,10,14]],[[1,2,3,7,9,11,14],[4,5,6,8,10,12,13]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[32]:=Group([(2,3,4)(5,6,8)(7,10,9)(11,13,12),(1,14)(2,11,4,12,3,13)(5,9,8,10,6,7)]); # Design 2469: 1 resolution(s), autom. group order 6, simple Rx[33]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[33]:=Group([(5,6,7)(8,10,12)(9,11,13),(1,4)(2,3)(8,9)(10,11)(12,13)]); # Design 2536: 1 resolution(s), autom. group order 6, simple Rx[34]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,13,14],[3,5,6,7,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[34]:=Group([(1,3,5)(2,4,6)(10,13,12),(1,10,3,13,5,12)(2,6,4)(7,11)(8,9)]); # Design 2576: 1 resolution(s), autom. group order 6, simple Rx[35]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[35]:=Group([(2,4)(5,7)(8,13)(9,12),(1,2)(5,6)(8,10)(9,11)]); # Design 2589: 1 resolution(s), autom. group order 6, simple Rx[36]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]],[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[36]:=Group([(1,2)(3,4)(8,9)(10,11)(12,13),(1,3,9)(2,4,8)(6,7,14)]); # Design 2682: 1 resolution(s), autom. group order 6, simple Rx[37]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,8,9,10,14],[2,5,6,7,11,12,13]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[37]:=Group([(1,4,6)(2,3,5)(9,11,12)(10,14,13),(1,10,4,14,6,13)(2,5,3)(9,12,11)]);