Rx:=[]; Gx:=[]; # Design 1: 1 resolution(s), autom. group order 3, simple Rx[1]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[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]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[1]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 10: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,10,12,13,14],[3,4,6,7,8,9,11]],[[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]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[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[2]:=Group([(2,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 17: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,8,9,10,13],[2,5,6,7,11,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,6,10,11,14],[2,3,7,8,9,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[3]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 19: 1 resolution(s), autom. group order 3, simple Rx[4]:=[[[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]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,6,7,9,14],[2,4,8,10,11,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,6,8,10,13],[2,3,7,9,11,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,7,8,10,11,14],[2,3,5,6,9,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[4]:=Group([(1,2,11)(3,8,5)(4,13,12)(9,14,10)]); # Design 28: 1 resolution(s), autom. group order 3, simple Rx[5]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[5]:=Group([(1,4,3)(5,6,7)(8,10,13)(9,11,12)]); # Design 29: 1 resolution(s), autom. group order 3, simple Rx[6]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,8,11,12],[3,4,5,9,10,13,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[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]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[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]],[[1,4,7,8,11,13,14],[2,3,5,6,9,10,12]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[6]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 42: 1 resolution(s), autom. group order 3, simple Rx[7]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[7]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 43: 1 resolution(s), autom. group order 3, simple Rx[8]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[8]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 44: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,10,11,12],[5,6,7,8,9,13,14]],[[1,2,3,4,10,13,14],[5,6,7,8,9,11,12]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,11,12,14],[3,5,7,8,9,10,13]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[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]],[[1,3,4,7,8,9,14],[2,5,6,10,11,12,13]],[[1,3,5,6,7,12,13],[2,4,8,9,10,11,14]],[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,7,10,12,13,14],[2,4,5,6,8,9,11]],[[1,3,8,9,11,12,14],[2,4,5,6,7,10,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,8,10,11,14],[2,3,4,7,9,12,13]]]; Gx[9]:=Group([(1,10,12)(2,8,7)(4,5,13)(6,14,11)]); # Design 47: 1 resolution(s), autom. group order 3, simple Rx[10]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[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]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[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]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[10]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 63: 1 resolution(s), autom. group order 3, 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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[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]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[11]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 69: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,9,10,14],[4,5,6,7,11,12,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[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]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[12]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 75: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,7,12,13],[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]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,8,9,12],[3,4,5,10,11,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[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]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[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]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[13]:=Group([(1,4,3)(5,6,7)(8,11,12)(9,10,13)]); # Design 80: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,10,12],[3,4,5,9,11,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,8,10,13,14],[2,3,5,6,9,11,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[14]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 84: 1 resolution(s), autom. group order 3, simple Rx[15]:=[[[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]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[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]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[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]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[15]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 85: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]],[[1,2,3,4,11,12,13],[5,6,7,8,9,10,14]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[16]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 89: 1 resolution(s), autom. group order 3, 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]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[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]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[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]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[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]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]],[[1,5,6,8,9,11,14],[2,3,4,7,10,12,13]]]; Gx[17]:=Group([(1,2,3)(4,6,5)(9,10,12)(11,14,13)]); # Design 90: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,12,13,14],[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[18]:=Group([(1,11,4)(3,10,9)(5,8,12)(7,14,13)]); # Design 91: 1 resolution(s), autom. group order 3, simple Rx[19]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[19]:=Group([(1,4,3)(5,6,7)(8,10,13)(9,11,12)]); # Design 94: 1 resolution(s), autom. group order 3, simple Rx[20]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,4,7,10,11,12],[3,5,6,8,9,13,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,8,13,14],[2,5,6,9,10,11,12]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[20]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 95: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,7,12,13],[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]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[21]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 96: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,9,14],[4,5,6,10,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[22]:=Group([(2,4,9)(3,5,8)(6,13,14)(10,11,12)]); # Design 99: 1 resolution(s), autom. group order 3, simple Rx[23]:=[[[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]],[[1,2,3,5,12,13,14],[4,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,6,9,13,14],[3,5,7,8,10,11,12]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[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]],[[1,3,4,8,9,10,14],[2,5,6,7,11,12,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]],[[1,5,6,8,9,10,13],[2,3,4,7,11,12,14]]]; Gx[23]:=Group([(1,5,14)(2,3,12)(4,10,8)(7,9,11)]); # Design 100: 1 resolution(s), autom. group order 3, simple Rx[24]:=[[[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]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,8,9,12],[3,4,5,10,11,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[24]:=Group([(1,2,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 101: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[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]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[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[25]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 104: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]],[[1,2,3,4,11,12,13],[5,6,7,8,9,10,14]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[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]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[26]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 105: 1 resolution(s), autom. group order 3, 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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[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]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[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]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[27]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 107: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,6,10,11],[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,10,13],[2,3,7,8,11,12,14]],[[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]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[28]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 109: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,8,11,14],[2,5,6,9,10,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[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]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]],[[1,5,6,7,10,13,14],[2,3,4,8,9,11,12]]]; Gx[29]:=Group([(2,10,13)(3,4,12)(5,6,11)(7,8,9)]); # Design 115: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[30]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 118: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[31]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 119: 1 resolution(s), autom. group order 3, simple Rx[32]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[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]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[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]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[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]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[32]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 120: 1 resolution(s), autom. group order 3, 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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,10,12],[3,4,6,7,11,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,10,11,14],[2,3,5,6,9,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[33]:=Group([(1,2,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 123: 1 resolution(s), autom. group order 3, simple Rx[34]:=[[[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]],[[1,2,4,8,9,11,13],[3,5,6,7,10,12,14]],[[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]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[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[34]:=Group([(1,12,4)(2,3,13)(5,11,7)(6,9,10)]); # Design 124: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,8,12,13,14],[4,5,6,7,9,10,11]],[[1,2,4,8,9,10,14],[3,5,6,7,11,12,13]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[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]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[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]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[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]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[35]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 131: 1 resolution(s), autom. group order 3, 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]],[[1,2,3,4,7,12,13],[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[36]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 133: 1 resolution(s), autom. group order 3, simple Rx[37]:=[[[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]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,2,8,10,11,13,14],[3,4,5,6,7,9,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[37]:=Group([(1,2,9)(3,4,8)(6,10,13)(7,14,11)]); # Design 135: 1 resolution(s), autom. group order 3, simple Rx[38]:=[[[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]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[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]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[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]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,13,14],[2,3,4,8,9,11,12]]]; Gx[38]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 136: 1 resolution(s), autom. group order 3, simple Rx[39]:=[[[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]],[[1,2,4,6,8,12,14],[3,5,7,9,10,11,13]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[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]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[39]:=Group([(1,11,4)(2,3,12)(5,14,7)(6,13,8)]); # Design 142: 1 resolution(s), autom. group order 3, simple Rx[40]:=[[[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]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[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]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,11,14],[2,3,4,8,9,12,13]]]; Gx[40]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 144: 1 resolution(s), autom. group order 3, simple Rx[41]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,7,8,11,13],[3,4,5,9,10,12,14]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[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]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[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]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[41]:=Group([(1,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 151: 1 resolution(s), autom. group order 3, simple Rx[42]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,7,10,11,14],[3,4,5,8,9,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[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]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[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]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[42]:=Group([(2,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 152: 1 resolution(s), autom. group order 3, simple Rx[43]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[43]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 162: 1 resolution(s), autom. group order 3, simple Rx[44]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[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]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,9,12,14],[2,3,5,6,10,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[44]:=Group([(2,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 171: 1 resolution(s), autom. group order 3, simple Rx[45]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,8,9,13,14],[3,5,6,7,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,11,12,14],[2,5,6,8,9,10,13]],[[1,3,5,6,7,9,14],[2,4,8,10,11,12,13]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[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]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[45]:=Group([(1,5,9)(2,12,6)(4,11,14)(7,8,13)]); # Design 173: 1 resolution(s), autom. group order 3, simple Rx[46]:=[[[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]],[[1,2,4,9,10,11,14],[3,5,6,7,8,12,13]],[[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[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]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[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]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[46]:=Group([(1,7,9)(2,11,13)(3,10,12)(4,6,14)]); # Design 183: 1 resolution(s), autom. group order 3, simple Rx[47]:=[[[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]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[47]:=Group([(1,13,14)(2,9,5)(4,7,10)(8,11,12)]); # Design 188: 1 resolution(s), autom. group order 3, simple Rx[48]:=[[[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]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,7,12,14],[2,4,8,9,10,11,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[48]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,12,13)]); # Design 191: 1 resolution(s), autom. group order 3, simple Rx[49]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[49]:=Group([(1,4,14)(2,9,3)(5,13,7)(8,11,12)]); # Design 193: 1 resolution(s), autom. group order 3, simple Rx[50]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,8,10,14],[3,4,5,9,11,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[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[50]:=Group([(2,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 194: 1 resolution(s), autom. group order 3, simple Rx[51]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,7,10,14],[2,4,8,9,11,12,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,6,8,11,12],[2,3,7,9,10,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,12,13,14],[2,3,4,8,9,10,11]]]; Gx[51]:=Group([(1,6,11)(2,14,8)(3,9,12)(5,10,7)]); # Design 202: 1 resolution(s), autom. group order 3, simple Rx[52]:=[[[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]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[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[52]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 209: 1 resolution(s), autom. group order 3, simple Rx[53]:=[[[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]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,7,9,10,12],[3,4,5,8,11,13,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[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]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[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[53]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 211: 1 resolution(s), autom. group order 3, simple Rx[54]:=[[[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]],[[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[54]:=Group([(1,5,7)(2,4,6)(8,10,13)(9,14,11)]); # Design 213: 1 resolution(s), autom. group order 3, simple Rx[55]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[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]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[55]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 215: 1 resolution(s), autom. group order 3, simple Rx[56]:=[[[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]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,7,8,9,12],[3,4,5,10,11,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,12,13],[2,3,7,8,9,11,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[56]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 219: 1 resolution(s), autom. group order 3, simple Rx[57]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,8,12,14],[2,5,6,9,10,11,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[57]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 222: 1 resolution(s), autom. group order 3, simple Rx[58]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[58]:=Group([(1,4,13)(2,3,12)(5,10,8)(7,14,11)]); # Design 223: 1 resolution(s), autom. group order 3, simple Rx[59]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[59]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 227: 1 resolution(s), autom. group order 3, simple Rx[60]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,8,10,14],[3,5,6,9,11,12,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,8,10,13],[2,3,7,9,11,12,14]],[[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]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,13,14],[2,3,4,9,10,11,12]]]; Gx[60]:=Group([(1,8,11)(2,13,14)(3,10,5)(7,12,9)]); # Design 228: 1 resolution(s), autom. group order 3, simple Rx[61]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,8,9,14],[3,4,5,10,11,12,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[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]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[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]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[61]:=Group([(1,2,8)(3,9,4)(6,13,10)(7,11,12)]); # Design 229: 1 resolution(s), autom. group order 3, simple Rx[62]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,11,12],[3,5,6,7,8,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,9,11,12,13,14],[2,4,5,6,7,8,10]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[62]:=Group([(1,11,12)(2,5,10)(3,9,14)(4,6,8)]); # Design 232: 1 resolution(s), autom. group order 3, simple Rx[63]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,8,12,13],[3,5,7,9,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,2,8,11,12,13,14],[3,4,5,6,7,9,10]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[63]:=Group([(1,5,11)(2,6,12)(7,13,10)(8,14,9)]); # Design 235: 1 resolution(s), autom. group order 3, simple Rx[64]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,9,11,13,14],[2,4,5,6,8,10,12]],[[1,4,5,6,9,10,13],[2,3,7,8,11,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[64]:=Group([(1,9,11)(3,12,5)(4,6,13)(8,10,14)]); # Design 245: 1 resolution(s), autom. group order 3, simple Rx[65]:=[[[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]],[[1,2,3,7,10,11,14],[4,5,6,8,9,12,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[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]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[65]:=Group([(2,5,11)(3,13,12)(4,10,9)(6,8,7)]); # Design 246: 1 resolution(s), autom. group order 3, simple Rx[66]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[66]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 248: 1 resolution(s), autom. group order 3, simple Rx[67]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[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]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[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]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,9,11,12,14],[2,4,5,6,8,10,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[67]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 264: 1 resolution(s), autom. group order 3, simple Rx[68]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[68]:=Group([(2,8,14)(3,5,12)(6,11,13)(7,10,9)]); # Design 266: 1 resolution(s), autom. group order 3, simple Rx[69]:=[[[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]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[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]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[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]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[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]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[69]:=Group([(1,3,14)(2,11,4)(6,13,12)(7,9,10)]); # Design 267: 1 resolution(s), autom. group order 3, simple Rx[70]:=[[[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]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[70]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 280: 1 resolution(s), autom. group order 3, simple Rx[71]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[71]:=Group([(1,3,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 281: 1 resolution(s), autom. group order 3, simple Rx[72]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[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]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[72]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,12,11)]); # Design 282: 1 resolution(s), autom. group order 3, simple Rx[73]:=[[[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]],[[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]],[[1,2,4,6,8,13,14],[3,5,7,9,10,11,12]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,3,7,8,12,13,14],[2,4,5,6,9,10,11]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[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]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,8,10,11,14],[2,3,4,7,9,12,13]]]; Gx[73]:=Group([(1,9,11)(2,6,14)(3,7,13)(4,8,12)]); # Design 293: 1 resolution(s), autom. group order 3, simple Rx[74]:=[[[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]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[74]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 296: 1 resolution(s), autom. group order 3, simple Rx[75]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,10,12,14],[2,3,4,8,9,11,13]]]; Gx[75]:=Group([(1,5,14)(2,4,11)(3,13,8)(7,10,12)]); # Design 297: 1 resolution(s), autom. group order 3, simple Rx[76]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[76]:=Group([(1,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 298: 1 resolution(s), autom. group order 3, simple Rx[77]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[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]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[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]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[77]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 300: 1 resolution(s), autom. group order 3, simple Rx[78]:=[[[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]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,10,13,14],[3,4,5,8,9,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[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]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[78]:=Group([(1,6,7)(2,13,5)(3,10,12)(4,14,8)]); # Design 301: 1 resolution(s), autom. group order 3, simple Rx[79]:=[[[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]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,10,12,13,14],[3,4,6,7,8,9,11]],[[1,2,6,7,8,10,14],[3,4,5,9,11,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[79]:=Group([(1,2,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 304: 1 resolution(s), autom. group order 3, simple Rx[80]:=[[[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]],[[1,2,4,8,9,11,12],[3,5,6,7,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[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]],[[1,3,8,11,12,13,14],[2,4,5,6,7,9,10]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[80]:=Group([(1,7,11)(2,5,9)(3,10,12)(4,6,8)]); # Design 308: 1 resolution(s), autom. group order 3, simple Rx[81]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[81]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 312: 1 resolution(s), autom. group order 3, simple Rx[82]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[82]:=Group([(1,3,9)(4,5,8)(6,13,14)(7,11,12)]); # Design 314: 1 resolution(s), autom. group order 3, simple Rx[83]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[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]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]]]; Gx[83]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 317: 1 resolution(s), autom. group order 3, simple Rx[84]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,8,10,14],[3,4,6,9,11,12,13]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,10,12,14],[2,5,6,8,9,11,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,11,14],[2,3,4,9,10,12,13]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[84]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 326: 1 resolution(s), autom. group order 3, simple Rx[85]:=[[[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]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,9,11,13,14],[2,4,5,6,8,10,12]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[85]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 327: 1 resolution(s), autom. group order 3, simple Rx[86]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,7,8,12,13],[3,4,5,9,10,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[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]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,10,13,14],[2,3,5,6,9,11,12]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[86]:=Group([(1,2,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 328: 1 resolution(s), autom. group order 3, simple Rx[87]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,6,7,9,14],[3,4,8,10,11,12,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[87]:=Group([(1,2,8)(3,9,5)(6,14,11)(7,13,12)]); # Design 329: 1 resolution(s), autom. group order 3, simple Rx[88]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[88]:=Group([(2,8,14)(3,5,12)(6,11,13)(7,10,9)]); # Design 330: 1 resolution(s), autom. group order 3, simple Rx[89]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,11,14],[3,5,6,7,8,12,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,7,8,11,14],[2,5,6,9,10,12,13]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,8,9,10,12,14],[2,4,5,6,7,11,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,11,14],[2,3,4,9,10,12,13]]]; Gx[89]:=Group([(1,3,8)(2,4,9)(7,14,12)(10,13,11)]); # Design 332: 1 resolution(s), autom. group order 3, simple Rx[90]:=[[[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]],[[1,2,5,6,8,9,11],[3,4,7,10,12,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[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]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[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]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[90]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 333: 1 resolution(s), autom. group order 3, simple Rx[91]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,7,8,10,14],[4,5,6,9,11,12,13]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,11,14],[2,3,7,8,9,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,9,14],[2,3,4,10,11,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[91]:=Group([(1,2,10)(3,8,14)(4,6,13)(9,11,12)]); # Design 336: 1 resolution(s), autom. group order 3, simple Rx[92]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[92]:=Group([(2,6,13)(4,11,12)(5,14,7)(8,10,9)]); # Design 348: 1 resolution(s), autom. group order 3, simple Rx[93]:=[[[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]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,11,12,13,14],[2,4,5,7,8,9,10]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[93]:=Group([(1,3,5)(2,4,6)(9,14,11)(10,12,13)]); # Design 350: 1 resolution(s), autom. group order 3, simple Rx[94]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[94]:=Group([(1,4,10)(2,3,9)(6,7,14)(8,13,12)]); # Design 357: 1 resolution(s), autom. group order 3, simple Rx[95]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[95]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 358: 1 resolution(s), autom. group order 3, simple Rx[96]:=[[[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]],[[1,2,3,7,8,10,14],[4,5,6,9,11,12,13]],[[1,2,4,6,10,12,14],[3,5,7,8,9,11,13]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,12,13,14],[3,4,5,6,9,10,11]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,9,14],[2,3,4,10,11,12,13]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[96]:=Group([(1,14,5)(2,10,7)(3,6,12)(8,9,11)]); # Design 362: 1 resolution(s), autom. group order 3, simple Rx[97]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[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]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[97]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 365: 1 resolution(s), autom. group order 3, simple Rx[98]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[98]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 367: 1 resolution(s), autom. group order 3, simple Rx[99]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[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[99]:=Group([(1,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 373: 1 resolution(s), autom. group order 3, simple Rx[100]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[100]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 375: 1 resolution(s), autom. group order 3, simple Rx[101]:=[[[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]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[101]:=Group([(1,4,6)(2,3,5)(9,14,11)(10,12,13)]); # Design 379: 1 resolution(s), autom. group order 3, simple Rx[102]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,2,9,11,12,13,14],[3,4,5,6,7,8,10]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[102]:=Group([(1,5,7)(2,4,6)(9,10,11)(12,13,14)]); # Design 380: 1 resolution(s), autom. group order 3, simple Rx[103]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[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]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[103]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 383: 1 resolution(s), autom. group order 3, simple Rx[104]:=[[[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]],[[1,2,4,6,8,9,14],[3,5,7,10,11,12,13]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[104]:=Group([(1,5,7)(2,4,6)(8,10,13)(9,14,11)]); # Design 385: 1 resolution(s), autom. group order 3, simple Rx[105]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,10,12,14],[3,4,5,8,9,11,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[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]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[105]:=Group([(1,2,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 387: 1 resolution(s), autom. group order 3, simple Rx[106]:=[[[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]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,8,12,13],[3,4,5,9,10,11,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,9,10,11,12,14],[3,4,5,6,7,8,13]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[106]:=Group([(1,4,8)(2,7,6)(3,14,12)(5,11,13)]); # Design 388: 1 resolution(s), autom. group order 3, simple Rx[107]:=[[[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]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,9,10,13,14],[2,4,5,6,8,11,12]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]]; Gx[107]:=Group([(1,4,8)(2,13,14)(3,10,6)(9,12,11)]); # Design 392: 1 resolution(s), autom. group order 3, simple Rx[108]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[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]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,9,10,12,13],[2,5,6,7,8,11,14]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[108]:=Group([(1,2,12)(3,14,5)(6,8,11)(7,13,10)]); # Design 393: 1 resolution(s), autom. group order 3, simple Rx[109]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[109]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,13,12)]); # Design 394: 1 resolution(s), autom. group order 3, simple Rx[110]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[110]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 396: 1 resolution(s), autom. group order 3, simple Rx[111]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[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]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[111]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 397: 1 resolution(s), autom. group order 3, simple Rx[112]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,8,10,12],[3,4,5,9,11,13,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,12],[2,3,7,8,10,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[112]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 398: 1 resolution(s), autom. group order 3, simple Rx[113]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,8,11,14],[3,4,5,9,10,12,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,9,11,12,14],[2,4,5,6,8,10,13]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,4,7,8,10,12,13],[2,3,5,6,9,11,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[113]:=Group([(1,7,12)(2,6,5)(3,9,14)(4,10,8)]); # Design 401: 1 resolution(s), autom. group order 3, simple Rx[114]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[114]:=Group([(1,4,3)(5,6,7)(8,11,12)(9,10,13)]); # Design 402: 1 resolution(s), autom. group order 3, simple Rx[115]:=[[[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]],[[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[115]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 405: 1 resolution(s), autom. group order 3, simple Rx[116]:=[[[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]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[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]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[116]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,12,13)]); # Design 406: 1 resolution(s), autom. group order 3, simple Rx[117]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[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]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[117]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,13,12)]); # Design 407: 1 resolution(s), autom. group order 3, simple Rx[118]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,9,10,14],[4,5,6,7,11,12,13]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[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]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[118]:=Group([(2,4,8)(3,5,9)(6,13,10)(7,11,14)]); # Design 408: 1 resolution(s), autom. group order 3, simple Rx[119]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[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]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,10,11,12,14],[2,4,5,6,8,9,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[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]]]; Gx[119]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 415: 1 resolution(s), autom. group order 3, simple Rx[120]:=[[[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]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[120]:=Group([(1,13,14)(2,9,5)(4,7,10)(8,11,12)]); # Design 420: 1 resolution(s), autom. group order 3, simple Rx[121]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,10,11],[3,5,6,9,12,13,14]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,8,13,14],[2,5,6,9,10,11,12]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,10,11,13,14],[2,3,5,7,8,9,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[121]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 432: 1 resolution(s), autom. group order 3, simple Rx[122]:=[[[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]],[[1,2,4,6,8,12,14],[3,5,7,9,10,11,13]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,7,8,12,13,14],[3,4,5,6,9,10,11]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,7,8,9,11],[2,5,6,10,12,13,14]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[122]:=Group([(1,5,7)(2,4,6)(8,14,13)(9,12,11)]); # Design 433: 1 resolution(s), autom. group order 3, simple Rx[123]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[123]:=Group([(1,2,8)(3,10,12)(4,13,11)(5,7,6)]); # Design 434: 1 resolution(s), autom. group order 3, simple Rx[124]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[124]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 435: 1 resolution(s), autom. group order 3, simple Rx[125]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[125]:=Group([(2,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 436: 1 resolution(s), autom. group order 3, simple Rx[126]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,10,12],[3,4,6,7,11,13,14]],[[1,2,6,7,9,12,13],[3,4,5,8,10,11,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[126]:=Group([(1,2,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 438: 1 resolution(s), autom. group order 3, simple Rx[127]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,6,10,12,13,14],[3,4,5,7,8,9,11]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[127]:=Group([(1,3,11)(2,10,4)(5,13,12)]); # Design 442: 1 resolution(s), autom. group order 3, simple Rx[128]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,11,12],[3,5,6,7,8,13,14]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[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]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,7,11,14],[2,4,8,9,10,12,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,10,11,12,14],[2,4,5,6,8,9,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,8,11,12,13],[2,3,4,7,9,10,14]]]; Gx[128]:=Group([(2,7,14)(3,6,13)(5,9,12)(8,11,10)]); # Design 444: 1 resolution(s), autom. group order 3, simple Rx[129]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,7,9,13,14],[2,3,4,8,10,11,12]]]; Gx[129]:=Group([(1,2,12)(3,6,13)(4,8,11)(7,10,9)]); # Design 445: 1 resolution(s), autom. group order 3, simple Rx[130]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[130]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 447: 1 resolution(s), autom. group order 3, simple Rx[131]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[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]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[131]:=Group([(2,8,12)(3,5,14)(6,10,13)(7,9,11)]); # Design 449: 1 resolution(s), autom. group order 3, simple Rx[132]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[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]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[132]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 450: 1 resolution(s), autom. group order 3, simple Rx[133]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[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]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[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]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[133]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 452: 1 resolution(s), autom. group order 3, simple Rx[134]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[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]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[134]:=Group([(1,4,6)(2,3,5)(9,10,14)]); # Design 454: 1 resolution(s), autom. group order 3, simple Rx[135]:=[[[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]],[[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]],[[1,2,4,6,11,13,14],[3,5,7,8,9,10,12]],[[1,2,5,6,7,10,12],[3,4,8,9,11,13,14]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,7,8,12,14],[2,5,6,9,10,11,13]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[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]],[[1,5,6,8,10,11,14],[2,3,4,7,9,12,13]]]; Gx[135]:=Group([(1,13,9)(2,12,11)(3,5,14)(6,7,10)]); # Design 456: 1 resolution(s), autom. group order 3, simple Rx[136]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[136]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 460: 1 resolution(s), autom. group order 3, simple Rx[137]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,9,11,12],[3,5,6,7,10,13,14]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[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]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,7,11,14],[2,4,8,9,10,12,13]],[[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[137]:=Group([(2,7,14)(3,6,13)(5,9,12)(8,10,11)]); # Design 461: 1 resolution(s), autom. group order 3, simple Rx[138]:=[[[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]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,11,13,14],[3,4,6,7,8,10,12]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[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]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,6,9,11,12],[2,3,7,8,10,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[138]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 472: 1 resolution(s), autom. group order 3, simple Rx[139]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,7,8,14],[3,4,9,10,11,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[139]:=Group([(1,13,14)(2,8,12)(3,6,5)(7,11,9)]); # Design 476: 1 resolution(s), autom. group order 3, simple Rx[140]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,6,9,12,14],[3,5,7,8,10,11,13]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,3,4,7,10,12,13],[2,5,6,8,9,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[140]:=Group([(1,4,7)(2,8,11)(3,10,12)(5,6,14)]); # Design 477: 1 resolution(s), autom. group order 3, simple Rx[141]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[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]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[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[141]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 479: 1 resolution(s), autom. group order 3, simple Rx[142]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,8,9,12],[3,4,5,10,11,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[142]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 480: 1 resolution(s), autom. group order 3, simple Rx[143]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[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[143]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 482: 1 resolution(s), autom. group order 3, simple Rx[144]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,8,9,10,11,13],[2,4,5,6,7,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[144]:=Group([(1,5,9)(2,6,11)(3,10,12)(4,8,7)]); # Design 483: 1 resolution(s), autom. group order 3, simple Rx[145]:=[[[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]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[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]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[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[145]:=Group([(1,5,12)(2,8,9)(3,6,11)(4,10,7)]); # Design 488: 1 resolution(s), autom. group order 3, simple Rx[146]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[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]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[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]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[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]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[146]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 489: 1 resolution(s), autom. group order 3, simple Rx[147]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[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]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[147]:=Group([(1,10,12)(2,3,14)(6,7,9)]); # Design 490: 1 resolution(s), autom. group order 3, simple Rx[148]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[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]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[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]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[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]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[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]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[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[148]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 495: 1 resolution(s), autom. group order 3, simple Rx[149]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[149]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 496: 1 resolution(s), autom. group order 3, simple Rx[150]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,7,10,14],[2,4,8,9,11,12,13]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[150]:=Group([(1,5,7)(2,13,11)(3,14,6)(4,9,12)]); # Design 498: 1 resolution(s), autom. group order 3, simple Rx[151]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,6,11,12,14],[3,5,7,8,9,10,13]],[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[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]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[151]:=Group([(2,7,9)(3,5,11)(4,6,10)(8,12,14)]); # Design 511: 1 resolution(s), autom. group order 3, simple Rx[152]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[152]:=Group([(1,4,9)(3,5,8)(6,11,12)(10,13,14)]); # Design 515: 1 resolution(s), autom. group order 3, simple Rx[153]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[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]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[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]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[153]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 516: 1 resolution(s), autom. group order 3, simple Rx[154]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,8,9,10,13],[2,5,6,7,11,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[154]:=Group([(1,3,12)(2,14,6)(5,10,9)(7,13,8)]); # Design 519: 1 resolution(s), autom. group order 3, simple Rx[155]:=[[[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]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[155]:=Group([(1,4,9)(3,5,8)(6,14,10)(11,13,12)]); # Design 521: 1 resolution(s), autom. group order 3, simple Rx[156]:=[[[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]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[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]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[156]:=Group([(1,2,14)(3,4,9)(5,7,13)(8,12,11)]); # Design 522: 1 resolution(s), autom. group order 3, simple Rx[157]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[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]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[157]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 526: 1 resolution(s), autom. group order 3, simple Rx[158]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[158]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 527: 1 resolution(s), autom. group order 3, simple Rx[159]:=[[[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]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[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[159]:=Group([(1,2,13)(3,7,5)(4,11,10)(6,8,9)]); # Design 530: 1 resolution(s), autom. group order 3, simple Rx[160]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[160]:=Group([(1,4,8)(2,3,9)(7,14,13)(10,12,11)]); # Design 531: 1 resolution(s), autom. group order 3, simple Rx[161]:=[[[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]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[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]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[161]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 532: 1 resolution(s), autom. group order 3, simple Rx[162]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[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]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[162]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 533: 1 resolution(s), autom. group order 3, simple Rx[163]:=[[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[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]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[163]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 534: 1 resolution(s), autom. group order 3, simple Rx[164]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[164]:=Group([(1,4,6)(2,3,5)(9,10,14)]); # Design 536: 1 resolution(s), autom. group order 3, simple Rx[165]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[165]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 540: 1 resolution(s), autom. group order 3, simple Rx[166]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[166]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 544: 1 resolution(s), autom. group order 3, simple Rx[167]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,8,10,14],[3,4,6,9,11,12,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,7,10,11,14],[3,4,5,8,9,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,8,9,12,13,14],[3,4,5,6,7,10,11]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,7,12,13],[2,4,8,9,10,11,14]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[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]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,9,10,11,13],[2,3,4,7,8,12,14]]]; Gx[167]:=Group([(1,6,14)(2,9,12)(3,8,11)(4,7,13)]); # Design 546: 1 resolution(s), autom. group order 3, simple Rx[168]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[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]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,8,9,10,11,13],[2,4,5,6,7,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[168]:=Group([(1,5,9)(2,6,11)(3,10,12)(4,8,7)]); # Design 547: 1 resolution(s), autom. group order 3, simple Rx[169]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[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]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[169]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 549: 1 resolution(s), autom. group order 3, simple Rx[170]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,7,11,12,14],[2,5,6,8,9,10,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[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]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[170]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 552: 1 resolution(s), autom. group order 3, simple Rx[171]:=[[[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]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[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]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]]]; Gx[171]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 554: 1 resolution(s), autom. group order 3, simple Rx[172]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,7,9,11,13],[3,4,5,8,10,12,14]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[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]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,7,8,9,12,14],[2,3,5,6,10,11,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[172]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 557: 1 resolution(s), autom. group order 3, simple Rx[173]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,11,12,14],[3,5,7,8,9,10,13]],[[1,2,5,6,7,8,10],[3,4,9,11,12,13,14]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[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]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,10,11,12,13],[2,3,4,7,8,9,14]]]; Gx[173]:=Group([(1,7,9)(2,13,12)(3,6,8)(4,14,11)]); # Design 562: 1 resolution(s), autom. group order 3, simple Rx[174]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,8,11,12],[3,4,5,9,10,13,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]],[[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]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[174]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 563: 1 resolution(s), autom. group order 3, simple Rx[175]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[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]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[175]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 569: 1 resolution(s), autom. group order 3, simple Rx[176]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,7,8,10,14],[4,5,6,9,11,12,13]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,11,14],[2,3,4,9,10,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[176]:=Group([(1,2,10)(3,8,14)(4,6,13)(9,12,11)]); # Design 625: 1 resolution(s), autom. group order 3, simple Rx[177]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[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]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,8,10,11,12,14],[2,4,5,6,7,9,13]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[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]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[177]:=Group([(1,7,12)(2,3,8)(4,13,6)(5,11,9)]); # Design 626: 1 resolution(s), autom. group order 3, simple Rx[178]:=[[[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]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[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]],[[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,11,14],[2,3,4,8,9,12,13]]]; Gx[178]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 628: 1 resolution(s), autom. group order 3, simple Rx[179]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[179]:=Group([(1,13,14)(2,11,12)(3,5,6)(7,8,10)]); # Design 631: 1 resolution(s), autom. group order 3, simple Rx[180]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[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]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[180]:=Group([(1,3,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 632: 1 resolution(s), autom. group order 3, simple Rx[181]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[181]:=Group([(2,12,13)(3,7,8)(4,11,6)(9,14,10)]); # Design 635: 1 resolution(s), autom. group order 3, simple Rx[182]:=[[[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]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,6,11,12,13,14],[2,4,5,7,8,9,10]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[182]:=Group([(1,3,5)(2,4,6)(9,14,11)(10,12,13)]); # Design 636: 1 resolution(s), autom. group order 3, simple Rx[183]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[183]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 638: 1 resolution(s), autom. group order 3, simple Rx[184]:=[[[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]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[184]:=Group([(1,2,4)(5,6,8)(7,10,9)(11,13,12)]); # Design 641: 1 resolution(s), autom. group order 3, simple Rx[185]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[185]:=Group([(1,4,9)(2,14,3)(5,7,13)(8,11,12)]); # Design 643: 1 resolution(s), autom. group order 3, simple Rx[186]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[186]:=Group([(1,5,8)(2,14,13)(3,10,4)(7,12,11)]); # Design 647: 1 resolution(s), autom. group order 3, simple Rx[187]:=[[[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]],[[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]],[[1,2,4,7,8,12,13],[3,5,6,9,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]],[[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]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[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]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[187]:=Group([(1,2,8)(3,9,4)(6,13,10)(7,11,12)]); # Design 649: 1 resolution(s), autom. group order 3, simple Rx[188]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,13],[3,5,6,9,10,11,14]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,8,11,14],[2,5,6,9,10,12,13]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[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]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[188]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 652: 1 resolution(s), autom. group order 3, simple Rx[189]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,14],[3,5,6,10,11,12,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[189]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 660: 1 resolution(s), autom. group order 3, simple Rx[190]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[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]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[190]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 663: 1 resolution(s), autom. group order 3, simple Rx[191]:=[[[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]],[[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[191]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 664: 1 resolution(s), autom. group order 3, simple Rx[192]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,9,10,11,12],[2,5,6,7,8,13,14]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[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]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[192]:=Group([(1,6,9)(2,14,12)(3,5,11)(7,13,10)]); # Design 667: 1 resolution(s), autom. group order 3, simple Rx[193]:=[[[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]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[193]:=Group([(1,4,9)(3,5,8)(6,14,10)(11,13,12)]); # Design 670: 1 resolution(s), autom. group order 3, simple Rx[194]:=[[[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]],[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,8,9,14],[3,4,5,10,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[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]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[194]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 671: 1 resolution(s), autom. group order 3, simple Rx[195]:=[[[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]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,10,12],[3,4,6,7,11,13,14]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[195]:=Group([(1,2,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 675: 1 resolution(s), autom. group order 3, simple Rx[196]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[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]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[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[196]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 694: 1 resolution(s), autom. group order 3, simple Rx[197]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[197]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 696: 1 resolution(s), autom. group order 3, simple Rx[198]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[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]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[198]:=Group([(1,4,9)(2,8,3)(6,12,11)(7,10,13)]); # Design 702: 1 resolution(s), autom. group order 3, simple Rx[199]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[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]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[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]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[199]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,13,12)]); # Design 713: 1 resolution(s), autom. group order 3, simple Rx[200]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[200]:=Group([(1,4,6)(2,3,5)(9,10,14)]); # Design 716: 1 resolution(s), autom. group order 3, simple Rx[201]:=[[[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]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[201]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 719: 1 resolution(s), autom. group order 3, simple Rx[202]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,8,12,13],[3,5,7,9,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,6,9,10,12],[2,3,7,8,11,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,4,7,9,10,11,12],[2,3,5,6,8,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[202]:=Group([(1,2,8)(3,4,9)(6,13,11)(7,12,10)]); # Design 721: 1 resolution(s), autom. group order 3, simple Rx[203]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[203]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,13,12)]); # Design 730: 1 resolution(s), autom. group order 3, simple Rx[204]:=[[[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]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,8,11,12,13,14],[3,4,5,6,7,9,10]],[[1,3,4,8,9,11,12],[2,5,6,7,10,13,14]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[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]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[204]:=Group([(1,7,11)(2,10,12)(3,5,9)(4,6,8)]); # Design 735: 1 resolution(s), autom. group order 3, simple Rx[205]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,10,11,13,14],[2,3,5,7,8,9,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[205]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 736: 1 resolution(s), autom. group order 3, simple Rx[206]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[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]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[206]:=Group([(1,2,12)(4,8,13)(5,14,9)(7,11,10)]); # Design 737: 1 resolution(s), autom. group order 3, simple Rx[207]:=[[[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]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[207]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 751: 1 resolution(s), autom. group order 3, simple Rx[208]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[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]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[208]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 752: 1 resolution(s), autom. group order 3, simple Rx[209]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[209]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 753: 1 resolution(s), autom. group order 3, simple Rx[210]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[210]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 754: 1 resolution(s), autom. group order 3, simple Rx[211]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[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]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[211]:=Group([(1,12,14)(2,6,5)(3,10,11)(4,7,9)]); # Design 755: 1 resolution(s), autom. group order 3, simple Rx[212]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,9,12,14],[3,5,7,8,10,11,13]],[[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,10],[3,4,5,11,12,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,7,8,12,13],[2,5,6,9,10,11,14]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,3,7,9,12,13,14],[2,4,5,6,8,10,11]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[212]:=Group([(1,7,11)(2,6,12)(3,9,14)(4,8,13)]); # Design 756: 1 resolution(s), autom. group order 3, simple Rx[213]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]],[[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]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[213]:=Group([(2,6,12)(3,7,14)(5,9,13)(8,10,11)]); # Design 764: 1 resolution(s), autom. group order 3, simple Rx[214]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[214]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 765: 1 resolution(s), autom. group order 3, simple Rx[215]:=[[[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]],[[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[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]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[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]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[215]:=Group([(1,4,13)(2,11,9)(3,5,7)(6,8,10)]); # Design 766: 1 resolution(s), autom. group order 3, simple Rx[216]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[216]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 769: 1 resolution(s), autom. group order 3, simple Rx[217]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[217]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 772: 1 resolution(s), autom. group order 3, simple Rx[218]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,10,11,13,14],[2,4,5,6,8,9,12]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[218]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 773: 1 resolution(s), autom. group order 3, simple Rx[219]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,10,11,12,14],[3,4,5,7,8,9,13]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[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]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,13,14],[2,3,4,8,10,11,12]]]; Gx[219]:=Group([(1,13,14)(2,12,3)(5,7,9)(8,11,10)]); # Design 774: 1 resolution(s), autom. group order 3, simple Rx[220]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,9,10,11,13],[3,5,6,7,8,12,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,9,10,12,13],[2,3,4,7,8,11,14]]]; Gx[220]:=Group([(2,5,11)(3,8,9)(6,12,10)(7,14,13)]); # Design 775: 1 resolution(s), autom. group order 3, simple Rx[221]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[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]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[221]:=Group([(1,4,6)(2,3,5)(9,10,14)]); # Design 778: 1 resolution(s), autom. group order 3, simple Rx[222]:=[[[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]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[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]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,10,12,13],[2,5,6,8,9,11,14]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,8,9,12,14],[2,4,6,7,10,11,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[222]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 780: 1 resolution(s), autom. group order 3, simple Rx[223]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,9,10,11,12,14],[3,4,5,6,7,8,13]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[223]:=Group([(1,5,7)(2,4,6)(9,13,11)(10,12,14)]); # Design 781: 1 resolution(s), autom. group order 3, simple Rx[224]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[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]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,8,9,10,11,14],[2,4,5,6,7,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[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]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[224]:=Group([(1,5,9)(2,6,11)(3,10,12)(4,8,7)]); # Design 784: 1 resolution(s), autom. group order 3, simple Rx[225]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[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]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[225]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 790: 1 resolution(s), autom. group order 3, simple Rx[226]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[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]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[226]:=Group([(1,8,9)(2,10,13)(4,7,5)(6,12,14)]); # Design 793: 1 resolution(s), autom. group order 3, simple Rx[227]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[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]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[227]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 797: 1 resolution(s), autom. group order 3, simple Rx[228]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[228]:=Group([(1,2,7)(3,14,4)(5,12,11)(6,10,13)]); # Design 802: 1 resolution(s), autom. group order 3, simple Rx[229]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[229]:=Group([(1,4,9)(2,3,14)(5,12,11)(7,8,13)]); # Design 803: 1 resolution(s), autom. group order 3, simple Rx[230]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[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]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[230]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 805: 1 resolution(s), autom. group order 3, simple Rx[231]:=[[[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]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,7,12,14],[2,4,8,9,10,11,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[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]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[231]:=Group([(1,5,7)(2,8,9)(3,6,12)(4,10,11)]); # Design 806: 1 resolution(s), autom. group order 3, simple Rx[232]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[232]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 810: 1 resolution(s), autom. group order 3, simple Rx[233]:=[[[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]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[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]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[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]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]],[[1,5,6,7,10,12,14],[2,3,4,8,9,11,13]]]; Gx[233]:=Group([(1,3,9)(2,5,11)(4,12,14)(7,10,13)]); # Design 811: 1 resolution(s), autom. group order 3, simple Rx[234]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[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]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[234]:=Group([(2,13,10)(3,9,12)(4,7,5)(6,11,8)]); # Design 812: 1 resolution(s), autom. group order 3, simple Rx[235]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[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]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[235]:=Group([(1,3,9)(2,4,10)(6,7,14)(8,13,12)]); # Design 813: 1 resolution(s), autom. group order 3, simple Rx[236]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,7,8,11,14],[3,4,5,9,10,12,13]],[[1,2,6,10,12,13,14],[3,4,5,7,8,9,11]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,9,13,14],[2,3,5,6,10,11,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[236]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 815: 1 resolution(s), autom. group order 3, simple Rx[237]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[237]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 816: 1 resolution(s), autom. group order 3, simple Rx[238]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[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]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[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]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[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[238]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 817: 1 resolution(s), autom. group order 3, simple Rx[239]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[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]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[239]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 823: 1 resolution(s), autom. group order 3, simple Rx[240]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[240]:=Group([(1,3,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 825: 1 resolution(s), autom. group order 3, simple Rx[241]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[241]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 833: 1 resolution(s), autom. group order 3, simple Rx[242]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,6,9,10,12],[2,3,7,8,11,13,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]]; Gx[242]:=Group([(1,3,14)(2,7,5)(4,11,10)(6,9,13)]); # Design 835: 1 resolution(s), autom. group order 3, simple Rx[243]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[243]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 845: 1 resolution(s), autom. group order 3, simple Rx[244]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,5,10,12,13,14],[3,4,6,7,8,9,11]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,8,12,13],[2,3,7,9,10,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,4,7,8,10,13,14],[2,3,5,6,9,11,12]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]]; Gx[244]:=Group([(1,11,9)(2,5,10)(4,12,14)(7,8,13)]); # Design 846: 1 resolution(s), autom. group order 3, simple Rx[245]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,2,8,9,11,12,14],[3,4,5,6,7,10,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[245]:=Group([(1,12,13)(2,7,5)(3,6,9)(4,10,14)]); # Design 848: 1 resolution(s), autom. group order 3, simple Rx[246]:=[[[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]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[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]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[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]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[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[246]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 854: 1 resolution(s), autom. group order 3, simple Rx[247]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[247]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 860: 1 resolution(s), autom. group order 3, simple Rx[248]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,7,11,14],[2,4,8,9,10,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,9,12,13,14],[2,4,5,6,8,10,11]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[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]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[248]:=Group([(1,7,12)(2,6,5)(3,9,14)(4,10,8)]); # Design 862: 1 resolution(s), autom. group order 3, simple Rx[249]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[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]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[249]:=Group([(1,11,6)(2,3,10)(5,13,9)(7,14,8)]); # Design 863: 1 resolution(s), autom. group order 3, simple Rx[250]:=[[[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]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[250]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 866: 1 resolution(s), autom. group order 3, simple Rx[251]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,9,14],[4,5,6,10,11,12,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[251]:=Group([(2,5,8)(3,4,9)(6,10,14)(11,12,13)]); # Design 876: 1 resolution(s), autom. group order 3, simple Rx[252]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[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]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[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[252]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 882: 1 resolution(s), autom. group order 3, simple Rx[253]:=[[[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]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,11,12,13,14],[2,4,5,7,8,9,10]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[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[253]:=Group([(1,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 883: 1 resolution(s), autom. group order 3, simple Rx[254]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[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]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,9,12,14],[2,5,6,7,10,11,13]],[[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[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]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[254]:=Group([(1,2,8)(4,5,9)(6,11,14)(7,13,12)]); # Design 884: 1 resolution(s), autom. group order 3, simple Rx[255]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,7,9,10,11,14],[2,3,5,6,8,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[255]:=Group([(1,3,14)(2,11,4)(6,9,12)(7,10,13)]); # Design 888: 1 resolution(s), autom. group order 3, simple Rx[256]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,11,12,13,14],[3,4,5,6,8,9,10]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[256]:=Group([(1,4,13)(2,9,8)(3,11,10)(5,6,7)]); # Design 896: 1 resolution(s), autom. group order 3, simple Rx[257]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[257]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 903: 1 resolution(s), autom. group order 3, simple Rx[258]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,7,9,10,12],[3,4,5,8,11,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[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[258]:=Group([(2,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 904: 1 resolution(s), autom. group order 3, simple Rx[259]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,9,10,11,12,14],[3,4,5,6,7,8,13]],[[1,3,4,8,9,12,14],[2,5,6,7,10,11,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]]]; Gx[259]:=Group([(1,4,11)(2,10,6)(5,9,14)(7,13,8)]); # Design 905: 1 resolution(s), autom. group order 3, simple Rx[260]:=[[[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]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[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]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,12,13],[2,4,6,9,10,11,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,8,9,10,12,13],[2,4,5,6,7,11,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[260]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,12,13)]); # Design 908: 1 resolution(s), autom. group order 3, simple Rx[261]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[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]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[261]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 910: 1 resolution(s), autom. group order 3, simple Rx[262]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[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]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[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[262]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 916: 1 resolution(s), autom. group order 3, simple Rx[263]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,8,10,14],[2,3,7,9,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,10,12,14],[2,3,4,8,9,11,13]]]; Gx[263]:=Group([(1,13,9)(3,8,12)(4,6,7)(5,10,11)]); # Design 919: 1 resolution(s), autom. group order 3, simple Rx[264]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,9,14],[4,5,6,10,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,7,10,14],[2,4,8,9,11,12,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,7,8,10,12,14],[2,3,5,6,9,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[264]:=Group([(1,8,12)(2,13,5)(3,11,6)(7,14,10)]); # Design 923: 1 resolution(s), autom. group order 3, simple Rx[265]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,8,9,14],[2,5,6,10,11,12,13]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[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]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[265]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 924: 1 resolution(s), autom. group order 3, simple Rx[266]:=[[[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]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,10,12],[3,4,6,7,11,13,14]],[[1,2,6,7,9,12,13],[3,4,5,8,10,11,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[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]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,11,12],[2,3,7,8,9,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[266]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 926: 1 resolution(s), autom. group order 3, simple Rx[267]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[267]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 927: 1 resolution(s), autom. group order 3, simple Rx[268]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,9,13,14],[2,3,5,6,10,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[268]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,13,12)]); # Design 935: 1 resolution(s), autom. group order 3, simple Rx[269]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,7,12,13],[2,4,8,9,10,11,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,10,11,12],[2,3,7,8,9,13,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[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]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[269]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 936: 1 resolution(s), autom. group order 3, simple Rx[270]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[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]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[270]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 938: 1 resolution(s), autom. group order 3, simple Rx[271]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,7,8,13,14],[2,5,6,9,10,11,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,8,9,11,12,13],[2,4,5,6,7,10,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,13,14],[2,3,4,9,10,11,12]]]; Gx[271]:=Group([(1,3,8)(2,4,9)(7,13,12)(10,14,11)]); # Design 939: 1 resolution(s), autom. group order 3, simple Rx[272]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[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]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[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]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,11,12,13],[2,3,4,8,9,10,14]]]; Gx[272]:=Group([(1,3,5)(2,4,6)(9,11,12)(10,14,13)]); # Design 943: 1 resolution(s), autom. group order 3, simple Rx[273]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,6,9,13,14],[3,5,7,8,10,11,12]],[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,10,12,13,14],[3,4,5,7,8,9,11]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,8,12,14],[2,5,6,9,10,11,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,5,6,7,8,9,14],[2,3,4,10,11,12,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[273]:=Group([(1,6,8)(2,4,11)(3,10,12)(5,14,9)]); # Design 949: 1 resolution(s), autom. group order 3, simple Rx[274]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[274]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 955: 1 resolution(s), autom. group order 3, simple Rx[275]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[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]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[275]:=Group([(2,8,14)(3,5,12)(6,9,13)(7,10,11)]); # Design 956: 1 resolution(s), autom. group order 3, simple Rx[276]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[276]:=Group([(2,11,10)(3,13,5)(4,7,8)(6,9,14)]); # Design 959: 1 resolution(s), autom. group order 3, simple Rx[277]:=[[[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]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,6,12,13,14],[3,5,7,8,9,10,11]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,8,11,14],[2,5,6,9,10,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]]]; Gx[277]:=Group([(1,8,11)(2,10,13)(3,7,4)(6,9,12)]); # Design 963: 1 resolution(s), autom. group order 3, simple Rx[278]:=[[[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]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,13,14],[3,4,6,7,10,11,12]],[[1,2,6,7,8,12,13],[3,4,5,9,10,11,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,9,10,11,12,14],[3,4,5,6,7,8,13]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[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]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[278]:=Group([(1,4,8)(2,7,6)(3,14,12)(5,11,13)]); # Design 977: 1 resolution(s), autom. group order 3, simple Rx[279]:=[[[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]],[[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[279]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 981: 1 resolution(s), autom. group order 3, simple Rx[280]:=[[[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]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[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]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,9,10,13,14],[2,4,5,6,8,11,12]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[280]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 984: 1 resolution(s), autom. group order 3, simple Rx[281]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,9,11,12],[3,5,6,7,10,13,14]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,7,8,14],[2,4,9,10,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,8,11,12,13],[2,3,4,7,9,10,14]]]; Gx[281]:=Group([(2,7,14)(3,6,13)(5,9,12)(8,11,10)]); # Design 994: 1 resolution(s), autom. group order 3, simple Rx[282]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,8,9,12,13],[3,4,6,7,10,11,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[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]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[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[282]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,13,12)]); # Design 997: 1 resolution(s), autom. group order 3, simple Rx[283]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[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]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[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[283]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 1002: 1 resolution(s), autom. group order 3, simple Rx[284]:=[[[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]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[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[284]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1011: 1 resolution(s), autom. group order 3, simple Rx[285]:=[[[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]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[285]:=Group([(1,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1012: 1 resolution(s), autom. group order 3, simple Rx[286]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,10,14],[3,5,6,9,11,12,13]],[[1,2,4,8,11,12,13],[3,5,6,7,9,10,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,9,12,13],[3,4,5,8,10,11,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,8,9,12,14],[2,3,4,7,10,11,13]]]; Gx[286]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1023: 1 resolution(s), autom. group order 3, simple Rx[287]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,8,10,11],[2,5,6,9,12,13,14]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[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]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[287]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1024: 1 resolution(s), autom. group order 3, simple Rx[288]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,9,11,12,13],[2,4,5,6,8,10,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[288]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1034: 1 resolution(s), autom. group order 3, simple Rx[289]:=[[[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]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[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]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,10,11,12,13],[2,3,5,7,8,9,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[289]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1037: 1 resolution(s), autom. group order 3, simple Rx[290]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[290]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 1042: 1 resolution(s), autom. group order 3, simple Rx[291]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[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]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[291]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1046: 1 resolution(s), autom. group order 3, simple Rx[292]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,9,10,12,13,14],[3,4,5,6,7,8,11]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[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]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[292]:=Group([(1,4,13)(2,3,12)(6,7,9)(8,14,11)]); # Design 1047: 1 resolution(s), autom. group order 3, simple Rx[293]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[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]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[293]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1050: 1 resolution(s), autom. group order 3, simple Rx[294]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,7,8,10,14],[3,5,6,9,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[294]:=Group([(2,4,9)(3,5,8)(6,11,12)(7,13,14)]); # Design 1051: 1 resolution(s), autom. group order 3, simple Rx[295]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,7,9,10,11],[3,4,5,8,12,13,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,8,10,11,12],[2,5,6,7,9,13,14]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,9,11,13,14],[2,4,5,6,8,10,12]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[295]:=Group([(1,4,12)(2,7,5)(3,11,10)(6,9,13)]); # Design 1053: 1 resolution(s), autom. group order 3, simple Rx[296]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,10,12],[3,4,6,7,11,13,14]],[[1,2,6,7,9,12,13],[3,4,5,8,10,11,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[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]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,9,12,14],[2,3,5,6,10,11,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[296]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1055: 1 resolution(s), autom. group order 3, simple Rx[297]:=[[[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]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[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]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[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]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,7,12,13,14],[2,3,4,8,9,10,11]]]; Gx[297]:=Group([(2,4,9)(3,10,11)(5,14,6)(7,12,13)]); # Design 1057: 1 resolution(s), autom. group order 3, simple Rx[298]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[298]:=Group([(2,8,14)(3,5,12)(6,10,13)(7,11,9)]); # Design 1059: 1 resolution(s), autom. group order 3, simple Rx[299]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[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]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[299]:=Group([(1,4,3)(5,6,7)(8,11,12)(9,10,13)]); # Design 1064: 1 resolution(s), autom. group order 3, simple Rx[300]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[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]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[300]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1069: 1 resolution(s), autom. group order 3, simple Rx[301]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[301]:=Group([(2,5,8)(3,4,9)(6,11,14)(7,13,10)]); # Design 1075: 1 resolution(s), autom. group order 3, simple Rx[302]:=[[[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]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[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]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[302]:=Group([(1,3,10)(2,11,4)(5,13,8)(7,9,14)]); # Design 1077: 1 resolution(s), autom. group order 3, simple Rx[303]:=[[[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]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[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]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[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[303]:=Group([(1,5,7)(2,11,14)(3,13,8)(6,9,10)]); # Design 1078: 1 resolution(s), autom. group order 3, simple Rx[304]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[304]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1079: 1 resolution(s), autom. group order 3, simple Rx[305]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,6,7,8,14],[2,4,9,10,11,12,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,6,8,10,13],[2,3,7,9,11,12,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,7,8,10,13,14],[2,3,5,6,9,11,12]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[305]:=Group([(1,11,12)(2,13,9)(4,5,7)(6,8,10)]); # Design 1084: 1 resolution(s), autom. group order 3, simple Rx[306]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,8,9,11,13,14],[3,4,5,6,7,10,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[306]:=Group([(1,5,8)(2,11,14)(3,13,10)(7,12,9)]); # Design 1087: 1 resolution(s), autom. group order 3, simple Rx[307]:=[[[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]],[[1,2,4,6,8,12,14],[3,5,7,9,10,11,13]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,2,8,11,12,13,14],[3,4,5,6,7,9,10]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,10,11,12,13],[2,3,4,7,8,9,14]]]; Gx[307]:=Group([(1,5,11)(2,6,12)(7,14,10)(8,13,9)]); # Design 1088: 1 resolution(s), autom. group order 3, simple Rx[308]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[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[308]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1089: 1 resolution(s), autom. group order 3, simple Rx[309]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[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]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[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]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[309]:=Group([(2,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1090: 1 resolution(s), autom. group order 3, simple Rx[310]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[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]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[310]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 1091: 1 resolution(s), autom. group order 3, simple Rx[311]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,8,9,10,12],[3,4,6,7,11,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[311]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1092: 1 resolution(s), autom. group order 3, simple Rx[312]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[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]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,10,12,13],[2,3,5,6,9,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[312]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1095: 1 resolution(s), autom. group order 3, simple Rx[313]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[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]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[313]:=Group([(1,4,6)(2,3,5)(9,10,14)]); # Design 1101: 1 resolution(s), autom. group order 3, simple Rx[314]:=[[[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]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,8,9,12,14],[2,4,6,7,10,11,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[314]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 1102: 1 resolution(s), autom. group order 3, simple Rx[315]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[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]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[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]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[315]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1125: 1 resolution(s), autom. group order 3, simple Rx[316]:=[[[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]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[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]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[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[316]:=Group([(1,8,11)(2,10,7)(3,5,12)(4,6,9)]); # Design 1130: 1 resolution(s), autom. group order 3, simple Rx[317]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,11,13],[2,3,5,6,10,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[317]:=Group([(2,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1132: 1 resolution(s), autom. group order 3, simple Rx[318]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,9,10,11,13],[3,5,6,7,8,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,9,10,12,13],[2,3,4,7,8,11,14]]]; Gx[318]:=Group([(2,11,5)(3,9,8)(6,10,12)(7,13,14)]); # Design 1135: 1 resolution(s), autom. group order 3, simple Rx[319]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[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]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,8,11,12,13],[2,3,4,7,9,10,14]]]; Gx[319]:=Group([(1,3,8)(2,4,9)(7,12,13)(10,11,14)]); # Design 1156: 1 resolution(s), autom. group order 3, simple Rx[320]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[320]:=Group([(2,6,14)(3,7,12)(5,9,13)(8,10,11)]); # Design 1157: 1 resolution(s), autom. group order 3, simple Rx[321]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,11],[3,4,5,10,12,13,14]],[[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]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[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[321]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1160: 1 resolution(s), autom. group order 3, simple Rx[322]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[322]:=Group([(1,4,9)(3,5,8)(6,11,12)(10,13,14)]); # Design 1161: 1 resolution(s), autom. group order 3, simple Rx[323]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,11,14],[2,3,4,8,9,12,13]]]; Gx[323]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1166: 1 resolution(s), autom. group order 3, simple Rx[324]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[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]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[324]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 1170: 1 resolution(s), autom. group order 3, simple Rx[325]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[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]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[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]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,9,11,12,13],[2,4,5,6,8,10,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[325]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1171: 1 resolution(s), autom. group order 3, simple Rx[326]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,9,10,11,14],[2,4,5,7,8,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,8,10,14],[2,3,7,9,11,12,13]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[326]:=Group([(1,3,11)(2,12,4)(5,13,8)(6,9,14)]); # Design 1175: 1 resolution(s), autom. group order 3, simple Rx[327]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[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]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[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[327]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 1177: 1 resolution(s), autom. group order 3, simple Rx[328]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[328]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 1178: 1 resolution(s), autom. group order 3, simple Rx[329]:=[[[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]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,11,12,14],[2,5,6,8,9,10,13]],[[1,3,4,8,10,12,13],[2,5,6,7,9,11,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[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]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[329]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 1181: 1 resolution(s), autom. group order 3, simple Rx[330]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,9,10,11,13,14],[3,4,5,6,7,8,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[330]:=Group([(1,10,6)(2,14,9)(3,8,13)(7,12,11)]); # Design 1187: 1 resolution(s), autom. group order 3, simple Rx[331]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,10,11,12,13],[2,5,6,7,8,9,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[331]:=Group([(1,2,10)(3,4,14)(6,13,8)(7,12,11)]); # Design 1190: 1 resolution(s), autom. group order 3, simple Rx[332]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[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]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,8,9,10,12,14],[2,4,5,6,7,11,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[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[332]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 1193: 1 resolution(s), autom. group order 3, simple Rx[333]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[333]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1203: 1 resolution(s), autom. group order 3, simple Rx[334]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[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]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[334]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1204: 1 resolution(s), autom. group order 3, simple Rx[335]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[335]:=Group([(1,4,8)(2,3,9)(7,14,13)(10,12,11)]); # Design 1206: 1 resolution(s), autom. group order 3, simple Rx[336]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[336]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1209: 1 resolution(s), autom. group order 3, simple Rx[337]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[337]:=Group([(2,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 1214: 1 resolution(s), autom. group order 3, simple Rx[338]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,7,8,14],[2,4,9,10,11,12,13]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[338]:=Group([(1,5,7)(2,13,11)(3,14,6)(4,9,12)]); # Design 1220: 1 resolution(s), autom. group order 3, simple Rx[339]:=[[[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]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,11,12,13,14],[3,4,5,6,8,9,10]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[339]:=Group([(1,4,13)(2,9,8)(3,11,10)(5,6,7)]); # Design 1243: 1 resolution(s), autom. group order 3, simple Rx[340]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[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]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[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]],[[1,4,5,7,8,11,14],[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]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[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[340]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1245: 1 resolution(s), autom. group order 3, simple Rx[341]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[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]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[341]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1246: 1 resolution(s), autom. group order 3, simple Rx[342]:=[[[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]],[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[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]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[342]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1247: 1 resolution(s), autom. group order 3, simple Rx[343]:=[[[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]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,9,11,13,14],[3,4,6,7,8,10,12]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[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]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[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]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[343]:=Group([(1,4,11)(2,3,9)(6,7,14)(8,12,13)]); # Design 1248: 1 resolution(s), autom. group order 3, simple Rx[344]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[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]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[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[344]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1254: 1 resolution(s), autom. group order 3, simple Rx[345]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,4,9,10,12,13],[2,5,6,7,8,11,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,6,10,11,14],[2,3,7,8,9,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[345]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1272: 1 resolution(s), autom. group order 3, simple Rx[346]:=[[[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]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[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]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[346]:=Group([(1,6,9)(2,10,12)(3,5,7)(4,8,11)]); # Design 1276: 1 resolution(s), autom. group order 3, simple Rx[347]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[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]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[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]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[347]:=Group([(1,5,7)(2,6,9)(3,8,12)(4,10,11)]); # Design 1280: 1 resolution(s), autom. group order 3, simple Rx[348]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,8,9,14],[3,4,5,10,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,10,13],[2,3,7,8,11,12,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[348]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1282: 1 resolution(s), autom. group order 3, simple Rx[349]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,7,10,11,14],[3,5,6,8,9,12,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[349]:=Group([(1,5,7)(2,13,8)(3,4,11)(6,12,9)]); # Design 1284: 1 resolution(s), autom. group order 3, simple Rx[350]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[350]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1288: 1 resolution(s), autom. group order 3, simple Rx[351]:=[[[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]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,4,7,8,9,13,14],[2,3,5,6,10,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[351]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1290: 1 resolution(s), autom. group order 3, simple Rx[352]:=[[[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]],[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[352]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1291: 1 resolution(s), autom. group order 3, simple Rx[353]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,9,10,11],[3,5,6,8,12,13,14]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,8,9,11,12,14],[3,4,5,6,7,10,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]],[[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]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[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]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,11,13],[2,3,4,8,10,12,14]]]; Gx[353]:=Group([(1,4,9)(2,3,8)(6,7,14)(10,13,12)]); # Design 1300: 1 resolution(s), autom. group order 3, simple Rx[354]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[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]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[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]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[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[354]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 1311: 1 resolution(s), autom. group order 3, simple Rx[355]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[355]:=Group([(2,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1312: 1 resolution(s), autom. group order 3, simple Rx[356]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,8,9,13,14],[3,5,6,7,10,11,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[356]:=Group([(1,4,13)(2,9,8)(3,6,11)(5,10,7)]); # Design 1314: 1 resolution(s), autom. group order 3, simple Rx[357]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[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]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[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]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[357]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 1317: 1 resolution(s), autom. group order 3, simple Rx[358]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[358]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1323: 1 resolution(s), autom. group order 3, simple Rx[359]:=[[[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]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,7,12,13],[2,4,8,9,10,11,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[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]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,4,7,8,9,12,13],[2,3,5,6,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[359]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1326: 1 resolution(s), autom. group order 3, simple Rx[360]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,14],[3,5,6,10,11,12,13]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[360]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1327: 1 resolution(s), autom. group order 3, simple Rx[361]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[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]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[361]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,12,11)]); # Design 1328: 1 resolution(s), autom. group order 3, simple Rx[362]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[362]:=Group([(1,4,6)(2,3,5)(9,14,13)(10,12,11)]); # Design 1329: 1 resolution(s), autom. group order 3, simple Rx[363]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[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]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[363]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,12,11)]); # Design 1330: 1 resolution(s), autom. group order 3, simple Rx[364]:=[[[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]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[364]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,11,12)]); # Design 1331: 1 resolution(s), autom. group order 3, simple Rx[365]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[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]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[365]:=Group([(1,8,11)(2,10,14)(3,7,5)(6,12,9)]); # Design 1332: 1 resolution(s), autom. group order 3, simple Rx[366]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,11,14],[4,5,6,9,10,12,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[366]:=Group([(1,8,14)(2,6,10)(4,13,9)(7,11,12)]); # Design 1336: 1 resolution(s), autom. group order 3, simple Rx[367]:=[[[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]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[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]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[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[367]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1337: 1 resolution(s), autom. group order 3, simple Rx[368]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[368]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1350: 1 resolution(s), autom. group order 3, simple Rx[369]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,9,11,12,13],[2,4,5,6,8,10,14]],[[1,3,8,9,10,11,12],[2,4,5,6,7,13,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[369]:=Group([(1,11,14)(2,8,7)(3,12,13)(4,9,6)]); # Design 1352: 1 resolution(s), autom. group order 3, simple Rx[370]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[370]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1353: 1 resolution(s), autom. group order 3, simple Rx[371]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,13],[3,5,6,9,10,11,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[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]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,7,10,12,14],[2,3,4,8,9,11,13]]]; Gx[371]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1354: 1 resolution(s), autom. group order 3, simple Rx[372]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,7,10,12,13],[3,4,5,8,9,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,12,13,14],[2,3,5,6,9,10,11]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[372]:=Group([(1,4,3)(5,6,7)(8,11,12)(9,10,13)]); # Design 1356: 1 resolution(s), autom. group order 3, simple Rx[373]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,11,12],[2,5,6,7,8,13,14]],[[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,9,10,11,12],[2,3,4,7,8,13,14]]]; Gx[373]:=Group([(1,10,5)(2,3,7)(4,8,14)(6,12,11)]); # Design 1365: 1 resolution(s), autom. group order 3, simple Rx[374]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[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[374]:=Group([(2,5,8)(3,4,9)(6,11,14)(7,13,10)]); # Design 1381: 1 resolution(s), autom. group order 3, simple Rx[375]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[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]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[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[375]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1382: 1 resolution(s), autom. group order 3, simple Rx[376]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,11],[3,4,5,10,12,13,14]],[[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]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[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]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[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[376]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1384: 1 resolution(s), autom. group order 3, simple Rx[377]:=[[[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]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[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]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[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]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[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]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[377]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1385: 1 resolution(s), autom. group order 3, simple Rx[378]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,7,9,14],[3,4,8,10,11,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[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]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[378]:=Group([(1,2,10)(3,14,4)(6,12,13)(7,9,11)]); # Design 1391: 1 resolution(s), autom. group order 3, simple Rx[379]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,9,10,12,13,14],[3,4,5,6,7,8,11]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[379]:=Group([(1,3,12)(2,4,13)(6,7,9)(8,14,11)]); # Design 1392: 1 resolution(s), autom. group order 3, simple Rx[380]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,7,8,11,12],[3,4,5,9,10,13,14]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,9,12,13],[2,3,5,6,10,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[380]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1397: 1 resolution(s), autom. group order 3, simple Rx[381]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[381]:=Group([(2,8,14)(3,5,12)(6,10,13)(7,9,11)]); # Design 1401: 1 resolution(s), autom. group order 3, simple Rx[382]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,9,11,13,14],[3,4,6,7,8,10,12]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[382]:=Group([(1,14,5)(2,9,10)(3,7,13)(8,12,11)]); # Design 1402: 1 resolution(s), autom. group order 3, simple Rx[383]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,3,4,10,11,12,13],[2,5,6,7,8,9,14]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[383]:=Group([(1,6,13)(2,11,9)(3,14,8)(7,10,12)]); # Design 1403: 1 resolution(s), autom. group order 3, simple Rx[384]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[384]:=Group([(1,2,10)(4,6,11)(5,9,14)(7,13,12)]); # Design 1407: 1 resolution(s), autom. group order 3, simple Rx[385]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[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]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,12,14],[2,3,4,8,10,11,13]]]; Gx[385]:=Group([(1,2,9)(3,10,11)(6,12,8)(7,14,13)]); # Design 1408: 1 resolution(s), autom. group order 3, simple Rx[386]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[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]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[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]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[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[386]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1417: 1 resolution(s), autom. group order 3, simple Rx[387]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[387]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1421: 1 resolution(s), autom. group order 3, simple Rx[388]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[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]],[[1,3,6,7,9,11,14],[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]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[388]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1422: 1 resolution(s), autom. group order 3, simple Rx[389]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,8,12,13],[3,5,7,9,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,2,8,11,12,13,14],[3,4,5,6,7,9,10]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[389]:=Group([(1,11,5)(2,12,6)(7,10,13)(8,9,14)]); # Design 1423: 1 resolution(s), autom. group order 3, simple Rx[390]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[390]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1424: 1 resolution(s), autom. group order 3, simple Rx[391]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,13],[3,5,6,9,10,11,14]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,7,10,13,14],[3,4,5,8,9,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,8,11,14],[2,5,6,9,10,12,13]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[391]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 1428: 1 resolution(s), autom. group order 3, simple Rx[392]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[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]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[392]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 1430: 1 resolution(s), autom. group order 3, simple Rx[393]:=[[[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]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[393]:=Group([(2,3,4)(5,6,8)(7,10,9)(11,13,12)]); # Design 1431: 1 resolution(s), autom. group order 3, simple Rx[394]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[394]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1434: 1 resolution(s), autom. group order 3, simple Rx[395]:=[[[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]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,10,11,12,13],[2,3,5,7,8,9,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[395]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1435: 1 resolution(s), autom. group order 3, simple Rx[396]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[396]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 1439: 1 resolution(s), autom. group order 3, simple Rx[397]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[397]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1441: 1 resolution(s), autom. group order 3, simple Rx[398]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,7,9,11,13],[3,4,5,8,10,12,14]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[398]:=Group([(2,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1442: 1 resolution(s), autom. group order 3, simple Rx[399]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[399]:=Group([(1,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1445: 1 resolution(s), autom. group order 3, simple Rx[400]:=[[[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]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[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]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[400]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1447: 1 resolution(s), autom. group order 3, simple Rx[401]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[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]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,7,8,10,12,13],[2,3,5,6,9,11,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[401]:=Group([(1,4,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 1450: 1 resolution(s), autom. group order 3, simple Rx[402]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[402]:=Group([(2,6,12)(3,7,14)(5,9,13)(8,10,11)]); # Design 1451: 1 resolution(s), autom. group order 3, simple Rx[403]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[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]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[403]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1453: 1 resolution(s), autom. group order 3, simple Rx[404]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,9,10,11,12],[2,5,6,7,8,13,14]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[404]:=Group([(2,8,11)(3,5,9)(6,14,10)(7,13,12)]); # Design 1455: 1 resolution(s), autom. group order 3, simple Rx[405]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[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]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,10,11,13,14],[2,4,5,6,8,9,12]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[405]:=Group([(1,3,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 1458: 1 resolution(s), autom. group order 3, simple Rx[406]:=[[[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]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,10,12,13,14],[3,4,5,7,8,9,11]],[[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]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[406]:=Group([(1,11,10)(2,8,13)(4,7,5)(6,9,12)]); # Design 1460: 1 resolution(s), autom. group order 3, simple Rx[407]:=[[[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]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[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]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[407]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1464: 1 resolution(s), autom. group order 3, simple Rx[408]:=[[[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]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[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]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[408]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1470: 1 resolution(s), autom. group order 3, simple Rx[409]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[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]],[[1,3,4,9,10,11,12],[2,5,6,7,8,13,14]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,10,11,13,14],[2,4,5,6,8,9,12]],[[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]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[409]:=Group([(1,6,11)(2,13,9)(4,5,12)(7,8,10)]); # Design 1471: 1 resolution(s), autom. group order 3, simple Rx[410]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[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]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[410]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1474: 1 resolution(s), autom. group order 3, simple Rx[411]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[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]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,9,12,13],[2,3,5,6,10,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[411]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,12,13)]); # Design 1476: 1 resolution(s), autom. group order 3, simple Rx[412]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,7,11,14],[2,4,8,9,10,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[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]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[412]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 1478: 1 resolution(s), autom. group order 3, simple Rx[413]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,9,11,14],[3,5,7,8,10,12,13]],[[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]],[[1,2,5,8,9,12,13],[3,4,6,7,10,11,14]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,8,12,13,14],[3,4,5,6,9,10,11]],[[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]],[[1,3,5,6,7,12,14],[2,4,8,9,10,11,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,8,10,14],[2,3,7,9,11,12,13]],[[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]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,9,10,11,12],[2,3,5,6,8,13,14]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[413]:=Group([(1,2,11)(3,12,4)(5,9,13)(7,14,8)]); # Design 1481: 1 resolution(s), autom. group order 3, simple Rx[414]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[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]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,8,11,12,13],[2,3,4,7,9,10,14]]]; Gx[414]:=Group([(1,3,8)(2,4,9)(7,12,13)(10,11,14)]); # Design 1485: 1 resolution(s), autom. group order 3, simple Rx[415]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[415]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1486: 1 resolution(s), autom. group order 3, simple Rx[416]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,11,14],[3,5,6,7,8,12,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,7,10,14],[2,4,8,9,11,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,8,11,12,14],[2,3,4,7,9,10,13]]]; Gx[416]:=Group([(1,3,8)(2,4,9)(7,12,14)(10,13,11)]); # Design 1495: 1 resolution(s), autom. group order 3, simple Rx[417]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[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]],[[1,2,7,9,11,12,13],[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]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[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]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[417]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1496: 1 resolution(s), autom. group order 3, simple Rx[418]:=[[[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]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,11,12,13,14],[2,4,5,7,8,9,10]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[418]:=Group([(1,10,6)(3,14,12)(4,5,13)(8,11,9)]); # Design 1498: 1 resolution(s), autom. group order 3, simple Rx[419]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[419]:=Group([(1,6,13)(2,9,5)(3,14,11)(8,10,12)]); # Design 1501: 1 resolution(s), autom. group order 3, simple Rx[420]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[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]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[420]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1502: 1 resolution(s), autom. group order 3, simple Rx[421]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,9,12,14],[2,3,4,8,10,11,13]]]; Gx[421]:=Group([(1,6,13)(2,11,9)(3,14,8)(7,10,12)]); # Design 1503: 1 resolution(s), autom. group order 3, simple Rx[422]:=[[[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]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,7,12,14],[2,4,8,9,10,11,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[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]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[422]:=Group([(1,5,7)(2,8,9)(3,6,12)(4,10,11)]); # Design 1505: 1 resolution(s), autom. group order 3, simple Rx[423]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,12,13,14],[2,4,5,6,9,10,11]],[[1,4,5,6,10,12,13],[2,3,7,8,9,11,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[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]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[423]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1506: 1 resolution(s), autom. group order 3, simple Rx[424]:=[[[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]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[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]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,8,9,10,11,13],[2,4,5,6,7,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[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]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[424]:=Group([(1,8,12)(2,10,7)(3,5,11)(4,6,9)]); # Design 1507: 1 resolution(s), autom. group order 3, simple Rx[425]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[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]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[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]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[425]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1508: 1 resolution(s), autom. group order 3, simple Rx[426]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]],[[1,2,4,9,12,13,14],[3,5,6,7,8,10,11]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[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]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[426]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 1509: 1 resolution(s), autom. group order 3, simple Rx[427]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[427]:=Group([(1,4,6)(2,3,5)(9,10,14)]); # Design 1515: 1 resolution(s), autom. group order 3, simple Rx[428]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[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]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,9,12,13,14],[2,3,4,7,8,10,11]]]; Gx[428]:=Group([(1,4,9)(2,8,3)(6,13,10)(7,11,12)]); # Design 1517: 1 resolution(s), autom. group order 3, simple Rx[429]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[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]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[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[429]:=Group([(1,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1520: 1 resolution(s), autom. group order 3, simple Rx[430]:=[[[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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,9,11,12,13],[2,4,5,6,8,10,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[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]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,5,6,8,10,12,14],[2,3,4,7,9,11,13]]]; Gx[430]:=Group([(1,7,13)(2,6,5)(3,11,9)(4,8,14)]); # Design 1523: 1 resolution(s), autom. group order 3, simple Rx[431]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]]; Gx[431]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1524: 1 resolution(s), autom. group order 3, simple Rx[432]:=[[[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]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[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]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[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]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[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[432]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1525: 1 resolution(s), autom. group order 3, simple Rx[433]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[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]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[433]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1531: 1 resolution(s), autom. group order 3, simple Rx[434]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,12,13,14],[3,4,6,7,9,10,11]],[[1,2,6,7,8,10,12],[3,4,5,9,11,13,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[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]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[434]:=Group([(1,2,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1534: 1 resolution(s), autom. group order 3, simple Rx[435]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,9,10,11,12,13],[3,4,5,6,7,8,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[435]:=Group([(1,2,8)(3,9,5)(6,14,11)(7,13,12)]); # Design 1535: 1 resolution(s), autom. group order 3, simple Rx[436]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,8,9,13,14],[3,5,6,7,10,11,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[436]:=Group([(1,4,13)(2,9,8)(3,6,11)(5,10,7)]); # Design 1538: 1 resolution(s), autom. group order 3, simple Rx[437]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,9,14],[4,5,6,10,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[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]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[437]:=Group([(2,8,13)(3,12,9)(4,6,7)(5,11,10)]); # Design 1540: 1 resolution(s), autom. group order 3, simple Rx[438]:=[[[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]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[438]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1541: 1 resolution(s), autom. group order 3, simple Rx[439]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,9,10,11,12,13],[3,4,5,6,7,8,14]],[[1,3,4,8,9,12,13],[2,5,6,7,10,11,14]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[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]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[439]:=Group([(1,3,10)(2,11,6)(5,9,12)(7,14,8)]); # Design 1542: 1 resolution(s), autom. group order 3, simple Rx[440]:=[[[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]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[440]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1547: 1 resolution(s), autom. group order 3, simple Rx[441]:=[[[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]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,8,9,13,14],[3,4,6,7,10,11,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[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]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[441]:=Group([(1,3,10)(2,14,4)(6,12,13)(7,9,11)]); # Design 1550: 1 resolution(s), autom. group order 3, simple Rx[442]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,7,8,12,13],[3,4,5,9,10,11,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,9,10,12],[2,3,7,8,11,13,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[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]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[442]:=Group([(1,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1556: 1 resolution(s), autom. group order 3, simple Rx[443]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[443]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1557: 1 resolution(s), autom. group order 3, simple Rx[444]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,10,11,12,14],[3,4,5,7,8,9,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,8,9,10,14],[2,5,6,7,11,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,8,9,11,14],[2,3,4,7,10,12,13]]]; Gx[444]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 1564: 1 resolution(s), autom. group order 3, simple Rx[445]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[445]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1568: 1 resolution(s), autom. group order 3, simple Rx[446]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[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]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[446]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 1570: 1 resolution(s), autom. group order 3, simple Rx[447]:=[[[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]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[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]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,7,8,9,10,11],[2,3,5,6,12,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[447]:=Group([(1,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1571: 1 resolution(s), autom. group order 3, simple Rx[448]:=[[[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]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[448]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 1577: 1 resolution(s), autom. group order 3, simple Rx[449]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[449]:=Group([(3,7,9)(4,13,8)(5,12,10)(6,11,14)]); # Design 1580: 1 resolution(s), autom. group order 3, simple Rx[450]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[450]:=Group([(2,6,12)(3,7,14)(5,9,13)(8,10,11)]); # Design 1585: 1 resolution(s), autom. group order 3, simple Rx[451]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[451]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 1588: 1 resolution(s), autom. group order 3, simple Rx[452]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[452]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 1597: 1 resolution(s), autom. group order 3, simple Rx[453]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[453]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1598: 1 resolution(s), autom. group order 3, simple Rx[454]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[454]:=Group([(1,4,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 1600: 1 resolution(s), autom. group order 3, simple Rx[455]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[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]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,8,9,10,13],[2,3,4,7,11,12,14]]]; Gx[455]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 1604: 1 resolution(s), autom. group order 3, simple Rx[456]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,10,12],[2,3,7,8,11,13,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]]; Gx[456]:=Group([(1,3,14)(2,7,5)(4,11,10)(6,9,13)]); # Design 1605: 1 resolution(s), autom. group order 3, simple Rx[457]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,8,12,14],[2,3,7,9,10,11,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[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]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[457]:=Group([(1,3,12)(2,14,4)(7,11,8)(9,10,13)]); # Design 1611: 1 resolution(s), autom. group order 3, simple Rx[458]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,10,11,14],[3,5,6,8,9,12,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,8,9,10,13],[2,5,6,7,11,12,14]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,8,11,12],[2,3,7,9,10,13,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[458]:=Group([(1,3,10)(4,6,11)(5,8,14)(9,12,13)]); # Design 1613: 1 resolution(s), autom. group order 3, simple Rx[459]:=[[[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]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[459]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1614: 1 resolution(s), autom. group order 3, simple Rx[460]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,8,9,10,13],[2,3,4,7,11,12,14]]]; Gx[460]:=Group([(1,2,10)(4,6,11)(5,9,14)(7,12,13)]); # Design 1616: 1 resolution(s), autom. group order 3, simple Rx[461]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[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]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[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]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[461]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1617: 1 resolution(s), autom. group order 3, simple Rx[462]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[462]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1629: 1 resolution(s), autom. group order 3, simple Rx[463]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[463]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1633: 1 resolution(s), autom. group order 3, simple Rx[464]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,6,10,13,14],[3,5,7,8,9,11,12]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,4,8,9,12,13],[2,5,6,7,10,11,14]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[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]],[[1,5,6,7,9,11,13],[2,3,4,8,10,12,14]]]; Gx[464]:=Group([(1,3,13)(2,7,14)(5,10,6)(8,12,9)]); # Design 1634: 1 resolution(s), autom. group order 3, simple Rx[465]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,11,13,14],[3,4,5,8,9,10,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,10,12,13],[2,3,5,6,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[465]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1635: 1 resolution(s), autom. group order 3, simple Rx[466]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[466]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1639: 1 resolution(s), autom. group order 3, simple Rx[467]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,14],[3,5,6,9,10,11,13]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,9,10,12,13],[2,5,6,7,8,11,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[467]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1640: 1 resolution(s), autom. group order 3, simple Rx[468]:=[[[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]],[[1,2,4,9,12,13,14],[3,5,6,7,8,10,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[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]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[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]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[468]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1641: 1 resolution(s), autom. group order 3, simple Rx[469]:=[[[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]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,6,7,9,14],[2,4,8,10,11,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[469]:=Group([(1,2,11)(3,8,5)(4,13,12)(9,14,10)]); # Design 1643: 1 resolution(s), autom. group order 3, simple Rx[470]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,7,8,14],[3,4,9,10,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[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]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,8,11,12,13],[2,3,4,7,9,10,14]]]; Gx[470]:=Group([(2,12,6)(3,14,7)(5,13,9)(8,10,11)]); # Design 1651: 1 resolution(s), autom. group order 3, simple Rx[471]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[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]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,8,10,11,13],[2,3,4,7,9,12,14]]]; Gx[471]:=Group([(1,12,14)(2,6,5)(3,10,11)(4,7,9)]); # Design 1657: 1 resolution(s), autom. group order 3, simple Rx[472]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[472]:=Group([(1,7,13)(2,4,10)(3,8,5)(6,9,12)]); # Design 1658: 1 resolution(s), autom. group order 3, simple Rx[473]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,9,12,13,14],[3,5,6,7,8,10,11]],[[1,2,5,6,7,9,14],[3,4,8,10,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[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]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[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]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[473]:=Group([(1,3,8)(2,9,5)(6,14,12)(7,11,10)]); # Design 1666: 1 resolution(s), autom. group order 3, simple Rx[474]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[474]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1668: 1 resolution(s), autom. group order 3, simple Rx[475]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[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]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[475]:=Group([(1,7,8)(3,11,6)(4,14,13)(9,12,10)]); # Design 1669: 1 resolution(s), autom. group order 3, simple Rx[476]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,2,8,10,11,12,14],[3,4,5,6,7,9,13]],[[1,3,4,7,8,12,14],[2,5,6,9,10,11,13]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[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[476]:=Group([(1,11,13)(3,6,10)(4,8,5)(7,9,14)]); # Design 1670: 1 resolution(s), autom. group order 3, simple Rx[477]:=[[[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]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,12,13,14],[2,3,5,6,9,10,11]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[477]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1676: 1 resolution(s), autom. group order 3, simple Rx[478]:=[[[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]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]],[[1,2,5,8,9,13,14],[3,4,6,7,10,11,12]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[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]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[478]:=Group([(1,3,10)(2,14,4)(6,12,13)(7,9,11)]); # Design 1677: 1 resolution(s), autom. group order 3, simple Rx[479]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,10,11,14],[2,3,7,8,9,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,9,14],[2,3,4,10,11,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[479]:=Group([(2,5,12)(3,13,6)(4,10,9)(7,14,11)]); # Design 1681: 1 resolution(s), autom. group order 3, simple Rx[480]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,9,11,14],[3,5,7,8,10,12,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,7,8,10,14],[3,4,6,9,11,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[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]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,5,6,7,12,14],[2,4,8,9,10,11,13]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,6,9,10,12],[2,3,7,8,11,13,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,7,8,9,11,13],[2,3,5,6,10,12,14]],[[1,5,6,9,10,11,13],[2,3,4,7,8,12,14]]]; Gx[480]:=Group([(1,8,13)(2,7,12)(3,9,14)(4,6,11)]); # Design 1682: 1 resolution(s), autom. group order 3, simple Rx[481]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]],[[1,2,4,7,12,13,14],[3,5,6,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[481]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1683: 1 resolution(s), autom. group order 3, simple Rx[482]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[482]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 1689: 1 resolution(s), autom. group order 3, simple Rx[483]:=[[[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]],[[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[483]:=Group([(1,4,9)(2,3,8)(6,7,14)(10,11,13)]); # Design 1690: 1 resolution(s), autom. group order 3, simple Rx[484]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,10,11,12,14],[2,3,5,7,8,9,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[484]:=Group([(1,3,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 1691: 1 resolution(s), autom. group order 3, simple Rx[485]:=[[[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]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,7,8,10,13],[3,4,5,9,11,12,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[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]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,4,7,8,9,11,13],[2,3,5,6,10,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[485]:=Group([(2,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1692: 1 resolution(s), autom. group order 3, simple Rx[486]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,8,11,13],[3,4,5,9,10,12,14]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,6,9,11,12],[2,3,7,8,10,13,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[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[486]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1699: 1 resolution(s), autom. group order 3, simple Rx[487]:=[[[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]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[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]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[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[487]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1703: 1 resolution(s), autom. group order 3, simple Rx[488]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[488]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1706: 1 resolution(s), autom. group order 3, simple Rx[489]:=[[[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]],[[1,2,4,6,8,11,14],[3,5,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,5,8,10,11,12],[3,4,6,7,9,13,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,3,8,9,10,11,13],[2,4,5,6,7,12,14]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[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]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,10,11,14],[2,3,4,8,9,12,13]]]; Gx[489]:=Group([(1,9,12)(2,7,14)(3,6,13)(4,8,11)]); # Design 1715: 1 resolution(s), autom. group order 3, simple Rx[490]:=[[[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]],[[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[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]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[490]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1716: 1 resolution(s), autom. group order 3, simple Rx[491]:=[[[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]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,8,9,10],[3,4,5,11,12,13,14]],[[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]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,4,7,8,10,11,14],[2,3,5,6,9,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[491]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1717: 1 resolution(s), autom. group order 3, simple Rx[492]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,8,10,11,12],[3,5,6,7,9,13,14]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[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]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[492]:=Group([(1,13,11)(3,10,12)(4,7,5)(6,9,14)]); # Design 1724: 1 resolution(s), autom. group order 3, simple Rx[493]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,7,9,14],[2,4,8,10,11,12,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,9,10,13,14],[2,4,5,6,8,11,12]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[493]:=Group([(1,2,10)(3,8,5)(4,13,12)(9,14,11)]); # Design 1725: 1 resolution(s), autom. group order 3, simple Rx[494]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[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]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,10,13,14],[3,4,5,8,9,11,12]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,6,9,10,13],[2,3,7,8,11,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[494]:=Group([(1,4,11)(2,10,6)(5,13,12)(7,14,8)]); # Design 1726: 1 resolution(s), autom. group order 3, simple Rx[495]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,2,8,10,12,13,14],[3,4,5,6,7,9,11]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[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]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[495]:=Group([(1,3,9)(2,14,4)(5,12,13)(7,11,8)]); # Design 1727: 1 resolution(s), autom. group order 3, simple Rx[496]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[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]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[496]:=Group([(1,4,11)(2,14,3)(6,7,13)(9,10,12)]); # Design 1728: 1 resolution(s), autom. group order 3, simple Rx[497]:=[[[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]],[[1,2,4,7,9,12,13],[3,5,6,8,10,11,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[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]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[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]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,10,13,14],[2,3,4,8,9,11,12]]]; Gx[497]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 1733: 1 resolution(s), autom. group order 3, simple Rx[498]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,13],[3,5,6,9,10,11,14]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,8,11,14],[2,5,6,9,10,12,13]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[498]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1735: 1 resolution(s), autom. group order 3, simple Rx[499]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[1,3,4,8,9,10,12],[2,5,6,7,11,13,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[499]:=Group([(1,10,14)(2,6,12)(4,5,11)(7,9,13)]); # Design 1737: 1 resolution(s), autom. group order 3, simple Rx[500]:=[[[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]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[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]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[500]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 1744: 1 resolution(s), autom. group order 3, simple Rx[501]:=[[[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]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[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[501]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 1747: 1 resolution(s), autom. group order 3, simple Rx[502]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[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]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,4,8,9,10,11,12],[2,3,5,6,7,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[502]:=Group([(1,9,4)(2,3,8)(6,14,11)(7,10,13)]); # Design 1749: 1 resolution(s), autom. group order 3, simple Rx[503]:=[[[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]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,9,10,11],[2,3,7,8,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[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]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[503]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1762: 1 resolution(s), autom. group order 3, simple Rx[504]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[504]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1764: 1 resolution(s), autom. group order 3, simple Rx[505]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[505]:=Group([(1,2,7)(3,14,4)(5,12,11)(6,10,13)]); # Design 1767: 1 resolution(s), autom. group order 3, simple Rx[506]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,7,10,12,14],[3,4,5,8,9,11,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[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[506]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1769: 1 resolution(s), autom. group order 3, simple Rx[507]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[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]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[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]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[507]:=Group([(1,2,10)(3,14,4)(6,12,13)(7,9,11)]); # Design 1770: 1 resolution(s), autom. group order 3, simple Rx[508]:=[[[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]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,8,9,10,11],[3,4,5,7,12,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[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]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[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]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[508]:=Group([(1,3,14)(2,11,4)(6,13,12)(7,9,10)]); # Design 1806: 1 resolution(s), autom. group order 3, simple Rx[509]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,8,9,14],[3,4,5,10,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[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]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[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]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[509]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1807: 1 resolution(s), autom. group order 3, simple Rx[510]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,10,12],[3,4,5,9,11,13,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,11,12],[2,3,7,8,10,13,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,4,7,8,10,11,14],[2,3,5,6,9,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[510]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1808: 1 resolution(s), autom. group order 3, simple Rx[511]:=[[[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]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[511]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1809: 1 resolution(s), autom. group order 3, simple Rx[512]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[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]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[512]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,12,11)]); # Design 1816: 1 resolution(s), autom. group order 3, simple Rx[513]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[513]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1817: 1 resolution(s), autom. group order 3, simple Rx[514]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[514]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1818: 1 resolution(s), autom. group order 3, simple Rx[515]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[515]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 1821: 1 resolution(s), autom. group order 3, simple Rx[516]:=[[[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]],[[1,2,4,8,9,11,12],[3,5,6,7,10,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,8,11,12,13,14],[2,4,5,6,7,9,10]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[516]:=Group([(1,7,11)(2,5,9)(3,10,12)(4,6,8)]); # Design 1822: 1 resolution(s), autom. group order 3, simple Rx[517]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[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]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[517]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1825: 1 resolution(s), autom. group order 3, simple Rx[518]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[518]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1834: 1 resolution(s), autom. group order 3, simple Rx[519]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[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]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[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]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[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]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[519]:=Group([(1,5,7)(2,6,9)(3,8,12)(4,10,11)]); # Design 1835: 1 resolution(s), autom. group order 3, simple Rx[520]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,10,11,12,14],[2,4,5,6,8,9,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[520]:=Group([(1,4,3)(5,6,7)(8,11,13)(9,10,12)]); # Design 1839: 1 resolution(s), autom. group order 3, simple Rx[521]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,8,9,11,12],[2,3,4,7,10,13,14]]]; Gx[521]:=Group([(1,3,11)(4,6,10)(5,13,14)(7,9,12)]); # Design 1842: 1 resolution(s), autom. group order 3, simple Rx[522]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[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]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[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]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[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]],[[1,4,7,8,9,12,13],[2,3,5,6,10,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[522]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1844: 1 resolution(s), autom. group order 3, simple Rx[523]:=[[[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]],[[1,2,3,7,9,12,14],[4,5,6,8,10,11,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,7,9,10,11],[3,4,5,8,12,13,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[523]:=Group([(1,5,7)(2,12,4)(3,10,11)(6,13,9)]); # Design 1849: 1 resolution(s), autom. group order 3, simple Rx[524]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[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]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[524]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1850: 1 resolution(s), autom. group order 3, simple Rx[525]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[525]:=Group([(1,3,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 1852: 1 resolution(s), autom. group order 3, simple Rx[526]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[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]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[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]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[526]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1857: 1 resolution(s), autom. group order 3, simple Rx[527]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,10,12,13],[2,3,7,8,9,11,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[527]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 1868: 1 resolution(s), autom. group order 3, simple Rx[528]:=[[[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]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[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]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,10,13],[2,3,7,8,11,12,14]],[[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]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[528]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1870: 1 resolution(s), autom. group order 3, simple Rx[529]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,7,8,10,14],[3,4,6,9,11,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,10,12,14],[2,5,6,8,9,11,13]],[[1,3,4,8,9,12,13],[2,5,6,7,10,11,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[529]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 1871: 1 resolution(s), autom. group order 3, simple Rx[530]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[530]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1873: 1 resolution(s), autom. group order 3, simple Rx[531]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,9,10],[3,4,8,11,12,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[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]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[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]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,13],[2,3,5,8,9,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[531]:=Group([(1,2,10)(4,6,11)(5,8,14)(7,12,9)]); # Design 1882: 1 resolution(s), autom. group order 3, simple Rx[532]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,7,9,10,13,14],[2,4,5,6,8,11,12]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,9,10,12,13],[2,3,4,7,8,11,14]]]; Gx[532]:=Group([(1,6,9)(3,8,11)(4,14,7)(5,13,12)]); # Design 1886: 1 resolution(s), autom. group order 3, simple Rx[533]:=[[[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]],[[1,2,4,6,8,12,14],[3,5,7,9,10,11,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,8,11,13],[2,3,7,9,10,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[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]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[533]:=Group([(1,6,14)(2,9,12)(3,8,11)(4,7,13)]); # Design 1888: 1 resolution(s), autom. group order 3, simple Rx[534]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[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]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[534]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 1890: 1 resolution(s), autom. group order 3, simple Rx[535]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[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]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[535]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1893: 1 resolution(s), autom. group order 3, simple Rx[536]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,7,11,14],[2,4,8,9,10,12,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[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]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,8,11,12],[2,3,7,9,10,13,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,7,8,9,11,13],[2,3,5,6,10,12,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[536]:=Group([(1,14,11)(2,5,7)(3,10,9)(6,8,12)]); # Design 1895: 1 resolution(s), autom. group order 3, simple Rx[537]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[537]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1899: 1 resolution(s), autom. group order 3, simple Rx[538]:=[[[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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,13,14],[2,3,4,9,10,11,12]]]; Gx[538]:=Group([(1,8,10)(3,12,7)(4,6,14)(5,11,9)]); # Design 1907: 1 resolution(s), autom. group order 3, simple Rx[539]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[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]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,8,9,10,11,12],[2,4,5,6,7,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[539]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 1912: 1 resolution(s), autom. group order 3, simple Rx[540]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[540]:=Group([(1,2,10)(3,5,7)(4,14,8)(6,13,11)]); # Design 1914: 1 resolution(s), autom. group order 3, simple Rx[541]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[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]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[541]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 1915: 1 resolution(s), autom. group order 3, simple Rx[542]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[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]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[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]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[542]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1920: 1 resolution(s), autom. group order 3, simple Rx[543]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[543]:=Group([(1,2,10)(3,5,7)(4,14,8)(6,12,11)]); # Design 1924: 1 resolution(s), autom. group order 3, simple Rx[544]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[544]:=Group([(1,4,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 1927: 1 resolution(s), autom. group order 3, simple Rx[545]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,7,9,11,13],[3,4,5,8,10,12,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,10,13,14],[2,3,5,6,9,11,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[545]:=Group([(1,2,7)(3,14,4)(5,10,12)(6,9,11)]); # Design 1928: 1 resolution(s), autom. group order 3, simple Rx[546]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[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]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[546]:=Group([(2,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 1931: 1 resolution(s), autom. group order 3, simple Rx[547]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[547]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1939: 1 resolution(s), autom. group order 3, simple Rx[548]:=[[[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]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,7,10,11,14],[2,5,6,8,9,12,13]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[548]:=Group([(1,4,13)(2,11,9)(3,5,7)(6,14,10)]); # Design 1942: 1 resolution(s), autom. group order 3, simple Rx[549]:=[[[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]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[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]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[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]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[549]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,12,13)]); # Design 1948: 1 resolution(s), autom. group order 3, simple Rx[550]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[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]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[550]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1950: 1 resolution(s), autom. group order 3, simple Rx[551]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[551]:=Group([(1,4,13)(2,3,12)(6,7,11)(8,10,14)]); # Design 1951: 1 resolution(s), autom. group order 3, simple Rx[552]:=[[[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]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[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]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[552]:=Group([(1,3,5)(2,4,6)(9,14,11)(10,12,13)]); # Design 1952: 1 resolution(s), autom. group order 3, simple Rx[553]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,9,10,11,14],[3,5,6,7,8,12,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,7,10,14],[2,4,8,9,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,8,11,12,14],[2,3,4,7,9,10,13]]]; Gx[553]:=Group([(1,3,8)(2,4,9)(7,12,14)(10,13,11)]); # Design 1953: 1 resolution(s), autom. group order 3, simple Rx[554]:=[[[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]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[554]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 1961: 1 resolution(s), autom. group order 3, simple Rx[555]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,9,10,11,12],[2,5,6,7,8,13,14]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[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]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[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]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,8,9,13,14],[2,3,6,7,10,11,12]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[555]:=Group([(2,8,11)(3,5,9)(6,13,10)(7,14,12)]); # Design 1964: 1 resolution(s), autom. group order 3, simple Rx[556]:=[[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[556]:=Group([(1,3,5)(2,4,6)(10,12,13)]); # Design 1967: 1 resolution(s), autom. group order 3, simple Rx[557]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[557]:=Group([(1,4,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 1971: 1 resolution(s), autom. group order 3, simple Rx[558]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,5,10,12,13,14],[3,4,6,7,8,9,11]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[558]:=Group([(1,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 1972: 1 resolution(s), autom. group order 3, simple Rx[559]:=[[[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]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,10,11,12,14],[3,4,5,7,8,9,13]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[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]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,8,9,11,12],[2,3,4,7,10,13,14]]]; Gx[559]:=Group([(1,5,8)(2,14,13)(3,10,4)(9,12,11)]); # Design 1974: 1 resolution(s), autom. group order 3, simple Rx[560]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[560]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 1975: 1 resolution(s), autom. group order 3, simple Rx[561]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[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]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[561]:=Group([(1,9,10)(3,4,14)(5,6,12)]); # Design 1980: 1 resolution(s), autom. group order 3, simple Rx[562]:=[[[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]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[562]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 1982: 1 resolution(s), autom. group order 3, simple Rx[563]:=[[[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]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,8,9,13,14],[3,4,6,7,10,11,12]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[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]],[[1,3,4,8,9,10,14],[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]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[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]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[563]:=Group([(1,4,6)(2,3,5)(9,13,12)(10,14,11)]); # Design 1984: 1 resolution(s), autom. group order 3, simple Rx[564]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,8,9,11,14],[3,5,6,7,10,12,13]],[[1,2,5,6,7,8,12],[3,4,9,10,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[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]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[564]:=Group([(2,11,14)(3,5,9)(4,12,6)(7,13,8)]); # Design 1985: 1 resolution(s), autom. group order 3, simple Rx[565]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,7,9,10,14],[3,4,5,8,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,8,13,14],[2,5,6,9,10,11,12]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[565]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 1992: 1 resolution(s), autom. group order 3, simple Rx[566]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[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]],[[1,3,4,8,10,11,13],[2,5,6,7,9,12,14]],[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[566]:=Group([(1,3,5)(2,4,6)(10,12,13)]); # Design 1993: 1 resolution(s), autom. group order 3, simple Rx[567]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[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]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,10,11,12,14],[2,4,5,6,8,9,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[567]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 2005: 1 resolution(s), autom. group order 3, simple Rx[568]:=[[[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]],[[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]],[[1,5,6,7,9,13,14],[2,3,4,8,10,11,12]]]; Gx[568]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 2006: 1 resolution(s), autom. group order 3, simple Rx[569]:=[[[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]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,10,11,13,14],[2,3,6,7,8,9,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[569]:=Group([(1,2,14)(3,4,12)(6,8,11)(7,10,9)]); # Design 2008: 1 resolution(s), autom. group order 3, simple Rx[570]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[570]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2009: 1 resolution(s), autom. group order 3, simple Rx[571]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[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]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[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]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[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[571]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2011: 1 resolution(s), autom. group order 3, simple Rx[572]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[572]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2012: 1 resolution(s), autom. group order 3, simple Rx[573]:=[[[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]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,9,11,12],[3,4,5,8,10,13,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[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]],[[1,3,5,7,8,9,14],[2,4,6,10,11,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,10,11,14],[2,3,5,6,9,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[573]:=Group([(2,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 2013: 1 resolution(s), autom. group order 3, simple Rx[574]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[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]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[574]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 2036: 1 resolution(s), autom. group order 3, simple Rx[575]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,8,9,13,14],[3,4,6,7,10,11,12]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[575]:=Group([(1,3,10)(2,14,4)(6,7,13)(9,12,11)]); # Design 2037: 1 resolution(s), autom. group order 3, simple Rx[576]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[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]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,13,14],[2,3,7,8,9,10,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[576]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 2039: 1 resolution(s), autom. group order 3, simple Rx[577]:=[[[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]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[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]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[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[577]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 2040: 1 resolution(s), autom. group order 3, simple Rx[578]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,11,12,14],[2,3,4,8,9,10,13]]]; Gx[578]:=Group([(1,9,11)(2,6,13)(3,14,7)]); # Design 2042: 1 resolution(s), autom. group order 3, simple Rx[579]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,7,9,14],[3,4,8,10,11,12,13]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[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]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,8,12,13,14],[2,3,4,7,9,10,11]]]; Gx[579]:=Group([(2,7,13)(3,12,8)(4,11,6)(9,10,14)]); # Design 2045: 1 resolution(s), autom. group order 3, simple Rx[580]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[580]:=Group([(1,9,4)(2,3,8)(6,14,10)(7,11,12)]); # Design 2046: 1 resolution(s), autom. group order 3, simple Rx[581]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[581]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2050: 1 resolution(s), autom. group order 3, simple Rx[582]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,4,9,11,12,13],[2,5,6,7,8,10,14]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,8,9,10,13],[2,3,4,7,11,12,14]]]; Gx[582]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 2053: 1 resolution(s), autom. group order 3, simple Rx[583]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[583]:=Group([(1,6,10)(3,11,4)(5,9,14)(7,13,12)]); # Design 2055: 1 resolution(s), autom. group order 3, simple Rx[584]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,7,9,14],[2,4,8,10,11,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,8,10,13],[2,3,7,9,11,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,4,7,8,9,11,13],[2,3,5,6,10,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[584]:=Group([(1,2,10)(4,6,11)(5,12,8)(7,9,14)]); # Design 2056: 1 resolution(s), autom. group order 3, simple Rx[585]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[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]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[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]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[585]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2057: 1 resolution(s), autom. group order 3, simple Rx[586]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[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]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[586]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2058: 1 resolution(s), autom. group order 3, simple Rx[587]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[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]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[587]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2059: 1 resolution(s), autom. group order 3, simple Rx[588]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,9,12,13],[3,4,5,8,10,11,14]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,12,13],[2,4,6,9,10,11,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[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]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,4,7,8,9,11,13],[2,3,5,6,10,12,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[588]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 2063: 1 resolution(s), autom. group order 3, simple Rx[589]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[589]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2065: 1 resolution(s), autom. group order 3, simple Rx[590]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[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]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[590]:=Group([(2,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 2066: 1 resolution(s), autom. group order 3, simple Rx[591]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,9,11,14],[3,5,7,8,10,12,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[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]],[[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,3,8,9,10,12,13],[2,4,5,6,7,11,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[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]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,9,10,11,13],[2,3,4,7,8,12,14]]]; Gx[591]:=Group([(1,8,12)(2,6,13)(3,7,14)(4,9,11)]); # Design 2067: 1 resolution(s), autom. group order 3, simple Rx[592]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,10,11],[2,4,5,9,12,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[592]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2069: 1 resolution(s), autom. group order 3, simple Rx[593]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,9,10,12,13,14],[3,4,5,6,7,8,11]],[[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]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[593]:=Group([(1,4,13)(2,3,12)(6,7,9)(8,14,11)]); # Design 2076: 1 resolution(s), autom. group order 3, simple Rx[594]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,11,12,13,14],[3,4,5,6,8,9,10]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[594]:=Group([(1,4,13)(2,9,8)(3,11,10)(5,6,7)]); # Design 2077: 1 resolution(s), autom. group order 3, simple Rx[595]:=[[[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]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[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]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,8,9,12,14],[2,4,6,7,10,11,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,11,12,13],[2,3,4,8,9,10,14]]]; Gx[595]:=Group([(1,3,5)(2,4,6)(9,13,12)(10,14,11)]); # Design 2080: 1 resolution(s), autom. group order 3, simple Rx[596]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[596]:=Group([(1,4,9)(3,5,8)(6,14,12)(10,13,11)]); # Design 2082: 1 resolution(s), autom. group order 3, simple Rx[597]:=[[[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]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]],[[1,5,6,7,9,11,14],[2,3,4,8,10,12,13]]]; Gx[597]:=Group([(1,2,3)(4,5,6)(9,12,10)(11,13,14)]); # Design 2083: 1 resolution(s), autom. group order 3, simple Rx[598]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,8,9,12],[3,4,5,10,11,13,14]],[[1,2,6,10,11,12,14],[3,4,5,7,8,9,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,12,13,14],[2,4,5,6,9,10,11]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[598]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2084: 1 resolution(s), autom. group order 3, simple Rx[599]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[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]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,9,10,11,13],[2,4,5,6,8,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,9,13],[2,3,4,10,11,12,14]]]; Gx[599]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2089: 1 resolution(s), autom. group order 3, simple Rx[600]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[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]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[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]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[600]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2094: 1 resolution(s), autom. group order 3, simple Rx[601]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,7,10,11,14],[3,5,6,8,9,12,13]],[[1,2,5,6,7,8,14],[3,4,9,10,11,12,13]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,5,10,12,13,14],[3,4,6,7,8,9,11]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,9,10,14],[2,3,5,6,11,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[601]:=Group([(1,5,9)(2,12,10)(4,6,13)(7,8,14)]); # Design 2099: 1 resolution(s), autom. group order 3, simple Rx[602]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[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]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[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]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[602]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 2100: 1 resolution(s), autom. group order 3, simple Rx[603]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[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]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[603]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,13,12)]); # Design 2103: 1 resolution(s), autom. group order 3, simple Rx[604]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,10],[3,5,6,11,12,13,14]],[[1,2,4,9,11,12,13],[3,5,6,7,8,10,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,8,13,14],[2,5,6,9,10,11,12]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[604]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 2105: 1 resolution(s), autom. group order 3, simple Rx[605]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,10,12,14],[3,4,5,8,9,11,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[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]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,6,8,11,14],[2,3,7,9,10,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[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]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[605]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2107: 1 resolution(s), autom. group order 3, simple Rx[606]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[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]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[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]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[606]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2110: 1 resolution(s), autom. group order 3, simple Rx[607]:=[[[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]],[[1,2,3,7,12,13,14],[4,5,6,8,9,10,11]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[607]:=Group([(2,6,13)(4,11,12)(5,14,7)(8,10,9)]); # Design 2111: 1 resolution(s), autom. group order 3, simple Rx[608]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[608]:=Group([(1,5,8)(2,13,11)(4,10,14)(6,9,7)]); # Design 2117: 1 resolution(s), autom. group order 3, simple Rx[609]:=[[[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]],[[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[609]:=Group([(2,3,4)(5,6,8)(7,10,9)(11,13,12)]); # Design 2120: 1 resolution(s), autom. group order 3, simple Rx[610]:=[[[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]],[[1,2,3,7,11,12,14],[4,5,6,8,9,10,13]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,7,9,10,14],[2,5,6,8,11,12,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[610]:=Group([(1,3,4)(5,8,6)(7,9,10)(11,12,13)]); # Design 2132: 1 resolution(s), autom. group order 3, simple Rx[611]:=[[[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]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[611]:=Group([(1,2,10)(3,5,7)(4,14,8)(6,13,11)]); # Design 2134: 1 resolution(s), autom. group order 3, simple Rx[612]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,11],[3,4,5,10,12,13,14]],[[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]],[[1,4,5,9,10,11,12],[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[612]:=Group([(5,6,7)(8,10,12)(9,11,13)]); # Design 2135: 1 resolution(s), autom. group order 3, simple Rx[613]:=[[[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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[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]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[613]:=Group([(1,8,13)(3,6,7)(4,14,11)(5,10,9)]); # Design 2137: 1 resolution(s), autom. group order 3, simple Rx[614]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[614]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2139: 1 resolution(s), autom. group order 3, simple Rx[615]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[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]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[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]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[615]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2142: 1 resolution(s), autom. group order 3, simple Rx[616]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,14],[3,4,6,7,8,11,13]],[[1,2,6,7,10,11,14],[3,4,5,8,9,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[616]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 2143: 1 resolution(s), autom. group order 3, simple Rx[617]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,12,13],[3,5,6,9,10,11,14]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,7,8,11,14],[3,4,5,9,10,12,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[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]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[617]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 2149: 1 resolution(s), autom. group order 3, simple Rx[618]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[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]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[618]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 2151: 1 resolution(s), autom. group order 3, simple Rx[619]:=[[[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]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[619]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2155: 1 resolution(s), autom. group order 3, simple Rx[620]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[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]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[620]:=Group([(1,2,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2156: 1 resolution(s), autom. group order 3, simple Rx[621]:=[[[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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[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]],[[1,2,7,9,10,11,14],[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]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,8,10,13,14],[2,3,4,7,9,11,12]]]; Gx[621]:=Group([(1,7,8)(3,10,12)(4,14,6)(5,9,11)]); # Design 2161: 1 resolution(s), autom. group order 3, simple Rx[622]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[622]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2173: 1 resolution(s), autom. group order 3, simple Rx[623]:=[[[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]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[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]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[623]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 2174: 1 resolution(s), autom. group order 3, simple Rx[624]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[624]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 2175: 1 resolution(s), autom. group order 3, simple Rx[625]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[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]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,9,10,11,12],[2,3,5,6,8,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[625]:=Group([(2,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 2176: 1 resolution(s), autom. group order 3, simple Rx[626]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[626]:=Group([(1,9,12)(4,5,13)(6,11,14)(7,8,10)]); # Design 2178: 1 resolution(s), autom. group order 3, simple Rx[627]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,9,11,12],[3,5,6,7,10,13,14]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[627]:=Group([(2,7,13)(3,6,14)(5,9,12)(8,10,11)]); # Design 2180: 1 resolution(s), autom. group order 3, simple Rx[628]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[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]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[628]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,12,13)]); # Design 2182: 1 resolution(s), autom. group order 3, simple Rx[629]:=[[[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]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[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]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,11,12,14],[2,4,5,6,9,10,13]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[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]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[629]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2184: 1 resolution(s), autom. group order 3, simple Rx[630]:=[[[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]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[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]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[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]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[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[630]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 2186: 1 resolution(s), autom. group order 3, simple Rx[631]:=[[[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]],[[1,2,4,7,8,10,14],[3,5,6,9,11,12,13]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,7,11,12,13],[2,5,6,8,9,10,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,10,12,13,14],[2,4,5,7,8,9,11]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]],[[1,5,6,7,10,11,12],[2,3,4,8,9,13,14]]]; Gx[631]:=Group([(2,7,9)(3,5,10)(4,6,11)(8,12,14)]); # Design 2191: 1 resolution(s), autom. group order 3, simple Rx[632]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,7,10,11,14],[3,5,6,8,9,12,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[632]:=Group([(1,5,7)(2,13,8)(3,4,11)(6,12,9)]); # Design 2192: 1 resolution(s), autom. group order 3, simple Rx[633]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,11,14],[3,5,6,9,10,12,13]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]]; Gx[633]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 2193: 1 resolution(s), autom. group order 3, simple Rx[634]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,7,10,12,14],[3,4,5,8,9,11,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,11,14],[2,3,7,8,10,12,13]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,10,12,14],[2,3,5,6,9,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[634]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2197: 1 resolution(s), autom. group order 3, simple Rx[635]:=[[[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]],[[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]],[[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]],[[1,2,5,6,7,10,14],[3,4,8,9,11,12,13]],[[1,2,5,7,8,12,13],[3,4,6,9,10,11,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,7,12,13,14],[3,4,5,8,9,10,11]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,3,7,9,11,12,14],[2,4,5,6,8,10,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[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]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,9,10,11,13],[2,3,4,7,8,12,14]]]; Gx[635]:=Group([(1,6,12)(2,8,14)(3,9,13)(4,7,11)]); # Design 2199: 1 resolution(s), autom. group order 3, simple Rx[636]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[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]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[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]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[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[636]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2205: 1 resolution(s), autom. group order 3, simple Rx[637]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,4,9,10,11,13],[2,5,6,7,8,12,14]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,6,12,13,14],[2,3,7,8,9,10,11]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,8,9,10,13],[2,3,4,7,11,12,14]]]; Gx[637]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 2207: 1 resolution(s), autom. group order 3, simple Rx[638]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[638]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2215: 1 resolution(s), autom. group order 3, simple Rx[639]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[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[639]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2217: 1 resolution(s), autom. group order 3, simple Rx[640]:=[[[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]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[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]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[640]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2219: 1 resolution(s), autom. group order 3, simple Rx[641]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,10,11,13,14],[3,4,6,7,8,9,12]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[641]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2220: 1 resolution(s), autom. group order 3, simple Rx[642]:=[[[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]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[642]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2221: 1 resolution(s), autom. group order 3, simple Rx[643]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]]; Gx[643]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2222: 1 resolution(s), autom. group order 3, simple Rx[644]:=[[[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]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[644]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 2226: 1 resolution(s), autom. group order 3, simple Rx[645]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[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]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,11,12,14],[2,5,6,8,9,10,13]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,8,9,10,11,12],[2,4,5,6,7,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[645]:=Group([(1,2,14)(3,11,4)(6,13,12)(7,10,9)]); # Design 2229: 1 resolution(s), autom. group order 3, simple Rx[646]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[646]:=Group([(1,4,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 2231: 1 resolution(s), autom. group order 3, simple Rx[647]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,12,13],[3,5,6,8,9,11,14]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,6,7,8,11,12],[2,4,5,9,10,13,14]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[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]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[647]:=Group([(1,4,9)(3,5,8)(6,14,12)(10,13,11)]); # Design 2235: 1 resolution(s), autom. group order 3, simple Rx[648]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,11,14],[4,5,6,9,10,12,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,10,11,12,14],[3,4,5,7,8,9,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[648]:=Group([(1,4,8)(2,3,9)(6,7,13)]); # Design 2239: 1 resolution(s), autom. group order 3, simple Rx[649]:=[[[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]],[[1,2,4,6,8,11,14],[3,5,7,9,10,12,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,12,13,14],[3,4,5,6,8,10,11]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[649]:=Group([(1,5,7)(2,4,6)(8,12,11)(9,14,13)]); # Design 2248: 1 resolution(s), autom. group order 3, simple Rx[650]:=[[[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]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[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]],[[1,4,5,7,8,12,14],[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]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]]; Gx[650]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2249: 1 resolution(s), autom. group order 3, simple Rx[651]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,2,8,9,10,11,14],[3,4,5,6,7,12,13]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[651]:=Group([(1,4,8)(2,3,9)(7,14,13)(10,12,11)]); # Design 2253: 1 resolution(s), autom. group order 3, simple Rx[652]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[652]:=Group([(2,4,9)(3,5,8)(6,13,14)(7,11,12)]); # Design 2262: 1 resolution(s), autom. group order 3, simple Rx[653]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,10,11,12,14],[3,4,5,7,8,9,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,8,9,10,11,13],[3,4,5,6,7,12,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[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[653]:=Group([(1,4,8)(2,3,9)(6,7,13)]); # Design 2272: 1 resolution(s), autom. group order 3, simple Rx[654]:=[[[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]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,11,12,13,14],[2,4,5,7,8,9,10]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[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[654]:=Group([(1,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2273: 1 resolution(s), autom. group order 3, simple Rx[655]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,10,12,13],[2,3,5,6,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[655]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2274: 1 resolution(s), autom. group order 3, simple Rx[656]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,3,4,7,8,12,14],[2,5,6,9,10,11,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,8,12,13,14],[2,3,5,7,9,10,11]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]],[[1,5,6,7,9,12,14],[2,3,4,8,10,11,13]]]; Gx[656]:=Group([(1,2,3)(4,5,6)(8,12,10)(9,13,11)]); # Design 2289: 1 resolution(s), autom. group order 3, simple Rx[657]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,8,9,11,14],[3,5,6,7,10,12,13]],[[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]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,7,12,14],[2,4,8,9,10,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,13],[2,4,5,10,11,12,14]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,11,12,13,14],[2,3,5,7,8,9,10]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[657]:=Group([(2,9,13)(3,10,11)(4,7,5)(6,14,8)]); # Design 2290: 1 resolution(s), autom. group order 3, simple Rx[658]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,12,14],[3,4,5,6,8,11,13]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,7,9,14],[2,4,8,10,11,12,13]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,10,12,13],[2,3,4,8,9,11,14]]]; Gx[658]:=Group([(1,2,8)(3,9,5)(6,14,10)(7,11,12)]); # Design 2291: 1 resolution(s), autom. group order 3, simple Rx[659]:=[[[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]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[659]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 2293: 1 resolution(s), autom. group order 3, simple Rx[660]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[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]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,9,10,11,12],[2,4,5,7,8,13,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[660]:=Group([(2,8,14)(3,5,12)(6,10,13)(7,9,11)]); # Design 2294: 1 resolution(s), autom. group order 3, simple Rx[661]:=[[[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]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[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]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[661]:=Group([(1,3,5)(2,4,6)(10,13,12)]); # Design 2296: 1 resolution(s), autom. group order 3, simple Rx[662]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,9,14],[4,5,6,10,11,12,13]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,7,12,14],[3,4,8,9,10,11,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[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]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[662]:=Group([(2,5,8)(3,4,9)(6,10,14)(11,12,13)]); # Design 2298: 1 resolution(s), autom. group order 3, simple Rx[663]:=[[[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]],[[1,2,4,6,8,11,14],[3,5,7,9,10,12,13]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,10],[3,4,5,11,12,13,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,7,9,12,13],[2,5,6,8,10,11,14]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,14],[2,4,5,6,9,12,13]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,4,7,8,10,12,13],[2,3,5,6,9,11,14]],[[1,5,6,7,10,11,13],[2,3,4,8,9,12,14]]]; Gx[663]:=Group([(1,8,13)(2,9,14)(3,6,11)(4,7,12)]); # Design 2299: 1 resolution(s), autom. group order 3, simple Rx[664]:=[[[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]],[[1,2,5,6,8,9,11],[3,4,7,10,12,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[664]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2302: 1 resolution(s), autom. group order 3, simple Rx[665]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[665]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2306: 1 resolution(s), autom. group order 3, simple Rx[666]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[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]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[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]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[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]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,9,11,12,13],[2,3,6,7,8,10,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[666]:=Group([(1,2,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2307: 1 resolution(s), autom. group order 3, simple Rx[667]:=[[[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]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,6,9,12,14],[2,3,7,8,10,11,13]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,7,8,11,13,14],[2,3,5,6,9,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[667]:=Group([(2,3,4)(5,6,7)(8,10,13)(9,11,12)]); # Design 2308: 1 resolution(s), autom. group order 3, simple Rx[668]:=[[[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]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[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]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[668]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2309: 1 resolution(s), autom. group order 3, simple Rx[669]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,9,14],[4,5,6,10,11,12,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,10,12,14],[3,4,5,6,9,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,11,13,14],[2,5,6,8,9,10,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,9,10,12,13],[2,4,5,6,8,11,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[669]:=Group([(2,5,8)(3,4,9)(6,10,14)(11,12,13)]); # Design 2310: 1 resolution(s), autom. group order 3, simple Rx[670]:=[[[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]],[[1,2,3,7,9,12,13],[4,5,6,8,10,11,14]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,8,12,14],[3,4,6,9,10,11,13]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]]; Gx[670]:=Group([(1,7,13)(2,3,9)(4,8,5)(6,14,10)]); # Design 2317: 1 resolution(s), autom. group order 3, simple Rx[671]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,12,14],[3,4,5,6,8,9,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,10,11],[2,4,5,8,12,13,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[671]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2321: 1 resolution(s), autom. group order 3, simple Rx[672]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[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]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,8,9,14],[2,3,4,10,11,12,13]]]; Gx[672]:=Group([(1,9,14)(2,13,5)(3,8,11)(7,12,10)]); # Design 2328: 1 resolution(s), autom. group order 3, simple Rx[673]:=[[[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]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[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]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[673]:=Group([(1,3,5)(2,4,6)(10,12,13)]); # Design 2332: 1 resolution(s), autom. group order 3, simple Rx[674]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,10,13],[3,4,5,7,11,12,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[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]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[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]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,13,14],[2,3,4,9,10,11,12]]]; Gx[674]:=Group([(1,4,13)(2,12,3)(6,8,10)(7,9,11)]); # Design 2336: 1 resolution(s), autom. group order 3, simple Rx[675]:=[[[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]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[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]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[675]:=Group([(1,3,5)(2,4,6)(9,14,13)(10,11,12)]); # Design 2340: 1 resolution(s), autom. group order 3, simple Rx[676]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[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]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[676]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2341: 1 resolution(s), autom. group order 3, simple Rx[677]:=[[[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]],[[1,2,3,7,10,12,14],[4,5,6,8,9,11,13]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,5,7,10,11,13],[3,4,6,8,9,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[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]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,5,6,8,9,10,11],[2,3,4,7,12,13,14]]]; Gx[677]:=Group([(1,5,7)(3,11,9)(4,13,8)(6,10,14)]); # Design 2349: 1 resolution(s), autom. group order 3, simple Rx[678]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[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]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[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]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[678]:=Group([(1,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2353: 1 resolution(s), autom. group order 3, simple Rx[679]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,8,9,13],[3,4,5,10,11,12,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[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]],[[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,10,11,12],[2,3,5,7,9,13,14]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[679]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2354: 1 resolution(s), autom. group order 3, simple Rx[680]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[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]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[680]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 2355: 1 resolution(s), autom. group order 3, simple Rx[681]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[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]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[681]:=Group([(1,2,3)(5,8,6)(7,9,10)(11,13,12)]); # Design 2365: 1 resolution(s), autom. group order 3, simple Rx[682]:=[[[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]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[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]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,8,9,11,12,13],[3,4,5,6,7,10,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[682]:=Group([(1,4,11)(2,14,3)(6,7,13)(9,12,10)]); # Design 2371: 1 resolution(s), autom. group order 3, simple Rx[683]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[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]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[683]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2374: 1 resolution(s), autom. group order 3, simple Rx[684]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,10,11,12,13],[2,3,5,7,8,9,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[684]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2378: 1 resolution(s), autom. group order 3, simple Rx[685]:=[[[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]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,11,12,13,14],[3,4,5,6,8,9,10]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,7,11,14],[2,4,8,9,10,12,13]],[[1,3,5,8,9,11,13],[2,4,6,7,10,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[685]:=Group([(1,14,6)(2,9,8)(4,10,12)(5,7,11)]); # Design 2380: 1 resolution(s), autom. group order 3, simple Rx[686]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[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]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,9,12,13,14],[2,4,5,6,8,10,11]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,4,7,8,10,11,12],[2,3,5,6,9,13,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[686]:=Group([(1,7,12)(2,6,5)(3,9,14)(4,10,8)]); # Design 2381: 1 resolution(s), autom. group order 3, simple Rx[687]:=[[[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]],[[1,2,4,11,12,13,14],[3,5,6,7,8,9,10]],[[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,8,10,13,14],[3,4,6,7,9,11,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,9,10,11,12],[2,4,5,6,8,13,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[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]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[687]:=Group([(1,10,11)(2,8,12)(3,6,7)(4,5,9)]); # Design 2383: 1 resolution(s), autom. group order 3, simple Rx[688]:=[[[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]],[[1,2,4,10,11,12,14],[3,5,6,7,8,9,13]],[[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[688]:=Group([(1,3,4)(5,7,6)(8,12,10)(9,13,11)]); # Design 2385: 1 resolution(s), autom. group order 3, simple Rx[689]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[1,3,5,6,8,12,13],[2,4,7,9,10,11,14]],[[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]],[[1,3,6,7,9,11,14],[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]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,9,10],[2,3,5,11,12,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[689]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 2394: 1 resolution(s), autom. group order 3, simple Rx[690]:=[[[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]],[[1,2,4,6,8,11,14],[3,5,7,9,10,12,13]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,8,9,10],[3,4,5,11,12,13,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,13,14],[2,4,6,8,10,11,12]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,6,10,12,13],[2,3,7,8,9,11,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,10,11,14],[2,3,4,8,9,12,13]]]; Gx[690]:=Group([(1,9,13)(2,8,14)(3,6,11)(4,7,12)]); # Design 2398: 1 resolution(s), autom. group order 3, simple Rx[691]:=[[[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]],[[1,2,4,10,11,13,14],[3,5,6,7,8,9,12]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,8,9,11,12],[3,4,6,7,10,13,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,3,4,7,9,13,14],[2,5,6,8,10,11,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[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[691]:=Group([(1,2,13)(3,7,5)(4,11,10)(6,8,9)]); # Design 2402: 1 resolution(s), autom. group order 3, simple Rx[692]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[692]:=Group([(1,11,10)(2,7,13)(4,9,5)(6,8,12)]); # Design 2411: 1 resolution(s), autom. group order 3, simple Rx[693]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,10,14],[3,4,7,9,11,12,13]],[[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]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[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]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[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]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[693]:=Group([(1,10,14)(3,13,6)(4,5,9)(7,12,8)]); # Design 2417: 1 resolution(s), autom. group order 3, simple Rx[694]:=[[[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]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[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]],[[1,3,6,9,10,13,14],[2,4,5,7,8,11,12]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,10,12,13],[2,3,7,8,9,11,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[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]],[[1,4,6,8,9,11,13],[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[694]:=Group([(1,9,8)(2,4,13)(3,11,10)(5,6,7)]); # Design 2418: 1 resolution(s), autom. group order 3, simple Rx[695]:=[[[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]],[[1,2,5,6,8,9,11],[3,4,7,10,12,13,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[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]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,8,9,12,14],[2,4,6,7,10,11,13]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[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]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[695]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2420: 1 resolution(s), autom. group order 3, simple Rx[696]:=[[[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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]],[[1,3,5,6,8,10,14],[2,4,7,9,11,12,13]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,8,10,11,12,13],[2,4,5,6,7,9,14]],[[1,4,5,7,8,9,12],[2,3,6,10,11,13,14]],[[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]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,11,13],[2,3,4,9,10,12,14]]]; Gx[696]:=Group([(1,7,12)(2,3,8)(4,14,6)(5,11,9)]); # Design 2423: 1 resolution(s), autom. group order 3, simple Rx[697]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,8,9,10,14],[3,5,6,7,11,12,13]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,9,10,12,14],[2,4,5,6,8,11,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,8,10,13,14],[2,3,4,7,9,11,12]]]; Gx[697]:=Group([(2,13,11)(3,10,12)(4,5,8)(7,14,9)]); # Design 2426: 1 resolution(s), autom. group order 3, simple Rx[698]:=[[[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]],[[1,2,4,8,12,13,14],[3,5,6,7,9,10,11]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,8,12,14],[2,4,5,9,10,11,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[698]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 2427: 1 resolution(s), autom. group order 3, simple Rx[699]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,10,11,12,14],[2,5,6,7,8,9,13]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,8,9,10,13],[2,4,6,7,11,12,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[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]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[699]:=Group([(1,5,9)(2,12,6)(4,11,14)(8,13,10)]); # Design 2428: 1 resolution(s), autom. group order 3, simple Rx[700]:=[[[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]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,9,11,12,13],[3,4,5,6,8,10,14]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,7,8,13,14],[2,4,6,9,10,11,12]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[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]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[700]:=Group([(1,3,11)(2,5,7)(4,12,9)(6,13,8)]); # Design 2429: 1 resolution(s), autom. group order 3, simple Rx[701]:=[[[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]],[[1,2,3,5,6,12,13],[4,7,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[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]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,9,10,14],[2,3,7,8,11,12,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]]; Gx[701]:=Group([(1,2,3)(4,6,5)(8,10,12)(9,11,13)]); # Design 2430: 1 resolution(s), autom. group order 3, simple Rx[702]:=[[[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]],[[1,2,4,7,12,13,14],[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]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,8,9,10,11,12],[3,4,5,6,7,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[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]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,4,6,9,10,11,13],[2,3,5,7,8,12,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[702]:=Group([(1,4,7)(2,12,13)(3,10,8)(6,9,11)]); # Design 2434: 1 resolution(s), autom. group order 3, simple Rx[703]:=[[[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]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,7,11,12,13,14],[2,4,5,6,8,9,10]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[703]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2436: 1 resolution(s), autom. group order 3, simple Rx[704]:=[[[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]],[[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]],[[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]],[[1,2,5,6,7,11,14],[3,4,8,9,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,7,10,13],[2,4,8,9,11,12,14]],[[1,3,5,6,9,12,13],[2,4,7,8,10,11,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,3,7,9,11,13,14],[2,4,5,6,8,10,12]],[[1,4,5,7,8,12,13],[2,3,6,9,10,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[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]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,9,10,11,12],[2,3,4,7,8,13,14]]]; Gx[704]:=Group([(1,9,13)(2,7,11)(3,6,12)(4,8,14)]); # Design 2440: 1 resolution(s), autom. group order 3, simple Rx[705]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,12,13,14],[2,4,6,7,8,10,11]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,11,14],[2,3,5,8,10,12,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[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]]]; Gx[705]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2444: 1 resolution(s), autom. group order 3, simple Rx[706]:=[[[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]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[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]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,9,10],[2,3,6,11,12,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,10,12,13,14],[2,3,5,7,8,9,11]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[706]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2445: 1 resolution(s), autom. group order 3, simple Rx[707]:=[[[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]],[[1,2,3,8,10,11,14],[4,5,6,7,9,12,13]],[[1,2,4,8,9,12,14],[3,5,6,7,10,11,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,10,11,12],[3,4,5,7,9,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[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]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[707]:=Group([(2,3,4)(5,6,7)(8,10,12)(9,11,13)]); # Design 2447: 1 resolution(s), autom. group order 3, simple Rx[708]:=[[[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]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,10,11,12,14],[2,4,5,6,8,9,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,9,12,13,14],[2,3,6,7,8,10,11]],[[1,4,6,7,9,10,11],[2,3,5,8,12,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[708]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2450: 1 resolution(s), autom. group order 3, simple Rx[709]:=[[[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]],[[1,2,3,7,9,10,14],[4,5,6,8,11,12,13]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,10,11,12],[2,4,7,8,9,13,14]],[[1,3,5,8,10,12,14],[2,4,6,7,9,11,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,8,10,13,14],[2,3,5,7,9,11,12]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[709]:=Group([(1,2,3)(5,6,8)(7,10,9)(11,13,12)]); # Design 2455: 1 resolution(s), autom. group order 3, simple Rx[710]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[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]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[710]:=Group([(2,8,12)(3,5,14)(6,9,13)(7,10,11)]); # Design 2456: 1 resolution(s), autom. group order 3, simple Rx[711]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]],[[1,2,5,6,10,11,12],[3,4,7,8,9,13,14]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,10,11,14],[2,4,6,8,9,12,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,14],[2,3,6,7,11,12,13]],[[1,4,5,8,9,12,14],[2,3,6,7,10,11,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,10,11,13],[2,3,5,7,9,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]]; Gx[711]:=Group([(2,8,12)(3,5,14)(6,9,13)(7,10,11)]); # Design 2460: 1 resolution(s), autom. group order 3, simple Rx[712]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[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]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[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]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,6,8,12,13,14],[2,4,5,7,9,10,11]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[712]:=Group([(1,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2461: 1 resolution(s), autom. group order 3, simple Rx[713]:=[[[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]],[[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,10,13,14],[3,4,6,8,9,11,12]],[[1,2,6,8,12,13,14],[3,4,5,7,9,10,11]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,10,11,13,14],[2,3,5,7,8,9,12]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[713]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2473: 1 resolution(s), autom. group order 3, simple Rx[714]:=[[[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]],[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,12,13,14],[3,4,6,8,9,10,11]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,7,10,11,12,13],[2,4,5,6,8,9,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[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]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[714]:=Group([(1,3,4)(5,7,6)(8,13,11)(9,12,10)]); # Design 2474: 1 resolution(s), autom. group order 3, simple Rx[715]:=[[[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]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,9,10,13,14],[2,4,5,6,8,11,12]],[[1,4,5,6,9,10,12],[2,3,7,8,11,13,14]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,4,7,9,10,11,12],[2,3,5,6,8,13,14]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]]]; Gx[715]:=Group([(2,4,9)(3,5,8)(6,13,12)(10,11,14)]); # Design 2475: 1 resolution(s), autom. group order 3, simple Rx[716]:=[[[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]],[[1,2,4,9,12,13,14],[3,5,6,7,8,10,11]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,9,10,11,13],[3,4,5,7,8,12,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,9,11,12,13],[2,4,5,6,8,10,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[716]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2514: 1 resolution(s), autom. group order 3, simple Rx[717]:=[[[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]],[[1,2,4,7,10,12,14],[3,5,6,8,9,11,13]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,8,9,10,12,14],[3,4,5,6,7,11,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[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[717]:=Group([(2,3,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 2521: 1 resolution(s), autom. group order 3, simple Rx[718]:=[[[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]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[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]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,9,11],[2,3,5,10,12,13,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[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[718]:=Group([(1,2,4)(5,7,6)(8,13,10)(9,12,11)]); # Design 2523: 1 resolution(s), autom. group order 3, simple Rx[719]:=[[[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]],[[1,2,4,7,11,12,14],[3,5,6,8,9,10,13]],[[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,7,8,9,14],[3,4,5,10,11,12,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,9,10,11,12,13],[3,4,5,6,7,8,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,6,9,12,13],[2,3,7,8,10,11,14]],[[1,4,5,7,11,12,13],[2,3,6,8,9,10,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[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[719]:=Group([(1,13,9)(2,5,7)(3,10,4)(6,11,12)]); # Design 2527: 1 resolution(s), autom. group order 3, simple Rx[720]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,12,14],[4,5,6,9,10,11,13]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,2,8,10,11,12,13],[3,4,5,6,7,9,14]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,8,10,11],[2,3,4,9,12,13,14]]]; Gx[720]:=Group([(1,6,10)(2,4,9)(3,13,14)(5,11,7)]); # Design 2529: 1 resolution(s), autom. group order 3, simple Rx[721]:=[[[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]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,9,11,12,13],[3,4,6,7,8,10,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,12,13,14],[2,5,6,7,8,10,11]],[[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,10,11,13,14],[2,4,5,7,8,9,12]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,7,8,9,11,14],[2,3,5,6,10,12,13]],[[1,5,6,7,8,12,13],[2,3,4,9,10,11,14]]]; Gx[721]:=Group([(1,4,9)(2,6,7)(3,13,14)(5,10,11)]); # Design 2535: 1 resolution(s), autom. group order 3, simple Rx[722]:=[[[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]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[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]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[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]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[722]:=Group([(1,3,5)(2,4,6)(10,12,13)]); # Design 2549: 1 resolution(s), autom. group order 3, simple Rx[723]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,8,9,11,12,14],[3,4,5,6,7,10,13]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,9,10,14],[2,4,7,8,11,12,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[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]],[[1,5,6,7,8,12,14],[2,3,4,9,10,11,13]]]; Gx[723]:=Group([(1,5,9)(2,11,12)(3,14,10)(7,13,8)]); # Design 2551: 1 resolution(s), autom. group order 3, simple Rx[724]:=[[[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]],[[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,13,14],[3,4,6,9,10,11,12]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,14],[2,4,7,8,10,12,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[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]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,9,11,12],[2,3,6,8,10,13,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]]; Gx[724]:=Group([(2,3,4)(5,6,7)(8,11,12)(9,10,13)]); # Design 2552: 1 resolution(s), autom. group order 3, simple Rx[725]:=[[[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]],[[1,2,3,7,8,12,13],[4,5,6,9,10,11,14]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,8,9,11,13,14],[3,4,5,6,7,10,12]],[[1,3,4,8,9,11,12],[2,5,6,7,10,13,14]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,4,5,6,8,13,14],[2,3,7,9,10,11,12]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,4,7,8,10,11,14],[2,3,5,6,9,12,13]],[[1,5,6,7,8,9,12],[2,3,4,10,11,13,14]]]; Gx[725]:=Group([(1,7,13)(2,12,8)(4,10,6)(5,9,11)]); # Design 2554: 1 resolution(s), autom. group order 3, simple Rx[726]:=[[[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]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,6,10,11,12,13],[3,4,5,7,8,9,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,8,9,12],[2,4,5,10,11,13,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[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]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[726]:=Group([(1,3,4)(5,7,6)(8,12,11)(9,13,10)]); # Design 2555: 1 resolution(s), autom. group order 3, simple Rx[727]:=[[[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]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[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]],[[1,2,5,8,11,12,13],[3,4,6,7,9,10,14]],[[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]],[[1,3,4,8,10,11,13],[2,5,6,7,9,12,14]],[[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]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,12,13],[2,4,5,7,10,11,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,9,11,12,14],[2,3,6,7,8,10,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[727]:=Group([(1,3,5)(2,4,6)(10,12,13)]); # Design 2557: 1 resolution(s), autom. group order 3, simple Rx[728]:=[[[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]],[[1,2,4,9,11,13,14],[3,5,6,7,8,10,12]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,10,12,13],[3,4,6,8,9,11,14]],[[1,2,6,8,9,10,14],[3,4,5,7,11,12,13]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,10,11,14],[2,4,6,7,9,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,7,9,12,14],[2,3,6,8,10,11,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[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]],[[1,5,6,8,11,12,13],[2,3,4,7,9,10,14]]]; Gx[728]:=Group([(1,3,8)(2,4,9)(7,12,13)(10,11,14)]); # Design 2560: 1 resolution(s), autom. group order 3, simple Rx[729]:=[[[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]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,6,8,9,11,14],[2,4,5,7,10,12,13]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[729]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 2561: 1 resolution(s), autom. group order 3, simple Rx[730]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,7,8,10,12],[3,4,5,9,11,13,14]],[[1,2,7,8,12,13,14],[3,4,5,6,9,10,11]],[[1,2,9,10,11,12,13],[3,4,5,6,7,8,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,9,10,12],[2,4,6,7,11,13,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[730]:=Group([(1,5,7)(2,9,6)(3,14,12)(4,13,10)]); # Design 2565: 1 resolution(s), autom. group order 3, simple Rx[731]:=[[[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]],[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]],[[1,2,4,6,9,12,13],[3,5,7,8,10,11,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,7,8,10,12],[3,4,5,9,11,13,14]],[[1,2,7,11,12,13,14],[3,4,5,6,8,9,10]],[[1,2,8,9,10,12,13],[3,4,5,6,7,11,14]],[[1,3,4,7,9,12,14],[2,5,6,8,10,11,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,6,8,12,14],[2,3,7,9,10,11,13]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[731]:=Group([(1,5,7)(2,9,6)(3,14,12)(4,13,10)]); # Design 2567: 1 resolution(s), autom. group order 3, simple Rx[732]:=[[[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]],[[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]],[[1,2,4,6,9,12,14],[3,5,7,8,10,11,13]],[[1,2,5,6,7,8,14],[3,4,9,10,11,12,13]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,5,11,12,13,14],[3,4,6,7,8,9,10]],[[1,2,6,7,9,10,12],[3,4,5,8,11,13,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,2,8,9,10,13,14],[3,4,5,6,7,11,12]],[[1,3,4,7,8,12,13],[2,5,6,9,10,11,14]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,9,10,12,14],[2,4,6,7,8,11,13]],[[1,3,6,7,9,12,13],[2,4,5,8,10,11,14]],[[1,3,6,8,9,10,11],[2,4,5,7,12,13,14]],[[1,3,7,9,11,13,14],[2,4,5,6,8,10,12]],[[1,4,5,6,10,11,13],[2,3,7,8,9,12,14]],[[1,4,5,7,9,10,11],[2,3,6,8,12,13,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,7,10,13,14],[2,3,5,8,9,11,12]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,7,8,11,12,14],[2,3,5,6,9,10,13]],[[1,5,6,8,10,12,13],[2,3,4,7,9,11,14]]]; Gx[732]:=Group([(1,8,10)(2,11,9)(3,14,7)(6,13,12)]); # Design 2568: 1 resolution(s), autom. group order 3, simple Rx[733]:=[[[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]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[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]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,7,12,13,14],[2,4,6,8,9,10,11]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[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]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[733]:=Group([(1,2,3)(5,6,7)(8,10,12)(9,11,13)]); # Design 2582: 1 resolution(s), autom. group order 3, simple Rx[734]:=[[[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]],[[1,2,4,6,8,12,14],[3,5,7,9,10,11,13]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,8,9,12,13],[3,4,5,7,10,11,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,11,12,13,14],[3,4,5,6,8,9,10]],[[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]],[[1,3,5,6,9,12,14],[2,4,7,8,10,11,13]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,10,12,14],[2,4,5,6,9,11,13]],[[1,3,8,9,11,13,14],[2,4,5,6,7,10,12]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,6,7,8,10,11],[2,3,5,9,12,13,14]],[[1,4,6,9,10,11,14],[2,3,5,7,8,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[734]:=Group([(2,8,9)(3,10,6)(4,7,12)(5,14,13)]); # Design 2592: 1 resolution(s), autom. group order 3, simple Rx[735]:=[[[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]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,9,12,14],[3,4,6,7,10,11,13]],[[1,2,6,9,10,11,14],[3,4,5,7,8,12,13]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,10,12,13,14],[2,5,6,7,8,9,11]],[[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]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[735]:=Group([(1,4,6)(2,3,5)(9,14,13)(10,12,11)]); # Design 2593: 1 resolution(s), autom. group order 3, simple Rx[736]:=[[[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]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,12,13],[3,4,6,7,8,11,14]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,3,4,10,11,13,14],[2,5,6,7,8,9,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,11,12],[2,4,5,6,10,13,14]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,11,14],[2,3,6,7,10,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,9,12],[2,3,5,10,11,13,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[736]:=Group([(1,5,13)(2,4,11)(3,12,8)(7,9,10)]); # Design 2625: 1 resolution(s), autom. group order 3, simple Rx[737]:=[[[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]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,7,13,14],[3,4,8,9,10,11,12]],[[1,2,5,8,9,10,13],[3,4,6,7,11,12,14]],[[1,2,5,10,11,12,14],[3,4,6,7,8,9,13]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,6,10,12,13],[2,3,7,8,9,11,14]],[[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]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,9,10,13,14],[2,3,5,7,8,11,12]],[[1,4,7,8,11,12,13],[2,3,5,6,9,10,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]]; Gx[737]:=Group([(1,2,11)(3,8,5)(4,7,14)(6,9,12)]); # Design 2630: 1 resolution(s), autom. group order 3, simple Rx[738]:=[[[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]],[[1,2,5,6,8,12,13],[3,4,7,9,10,11,14]],[[1,2,5,7,9,12,14],[3,4,6,8,10,11,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,9,13,14],[3,4,5,8,10,11,12]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,11,14],[2,4,7,9,10,12,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,9,10],[2,4,5,11,12,13,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,11,12,13],[2,4,5,6,9,10,14]],[[1,4,5,6,10,12,14],[2,3,7,8,9,11,13]],[[1,4,5,7,10,11,13],[2,3,6,8,9,12,14]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,4,7,8,9,10,12],[2,3,5,6,11,13,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[738]:=Group([(1,2,3)(5,7,6)(8,12,10)(9,13,11)]); # Design 2631: 1 resolution(s), autom. group order 3, simple Rx[739]:=[[[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]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,8,11,12,13],[3,5,6,7,9,10,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,8,11,14],[3,4,6,9,10,12,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[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]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,11,12,14],[2,4,5,8,9,10,13]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,12,14],[2,3,6,9,10,11,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,10,11,14],[2,3,5,7,9,12,13]],[[1,5,6,8,9,11,13],[2,3,4,7,10,12,14]]]; Gx[739]:=Group([(1,5,9)(2,14,12)(3,10,4)(8,13,11)]); # Design 2632: 1 resolution(s), autom. group order 3, simple Rx[740]:=[[[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]],[[1,2,3,8,9,12,14],[4,5,6,7,10,11,13]],[[1,2,4,10,12,13,14],[3,5,6,7,8,9,11]],[[1,2,5,6,8,11,14],[3,4,7,9,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,8,10,12],[2,4,5,9,11,13,14]],[[1,3,6,7,11,13,14],[2,4,5,8,9,10,12]],[[1,3,7,8,9,11,13],[2,4,5,6,10,12,14]],[[1,4,5,7,8,13,14],[2,3,6,9,10,11,12]],[[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]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,8,9,12,14],[2,3,5,7,10,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]]; Gx[740]:=Group([(2,3,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2633: 1 resolution(s), autom. group order 3, simple Rx[741]:=[[[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]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[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]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[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]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[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]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,5,6,7,9,10,13],[2,3,4,8,11,12,14]]]; Gx[741]:=Group([(1,3,5)(2,4,6)(10,12,13)]); # Design 2636: 1 resolution(s), autom. group order 3, simple Rx[742]:=[[[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]],[[1,2,5,8,9,11,14],[3,4,6,7,10,12,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,8,9,11,12],[2,5,6,7,10,13,14]],[[1,3,5,7,8,12,14],[2,4,6,9,10,11,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,4,5,7,8,10,13],[2,3,6,9,11,12,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,7,11,12,13],[2,3,5,8,9,10,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]]; Gx[742]:=Group([(1,4,6)(2,3,5)(9,14,10)(11,13,12)]); # Design 2637: 1 resolution(s), autom. group order 3, simple Rx[743]:=[[[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]],[[1,2,3,7,9,12,13],[4,5,6,8,10,11,14]],[[1,2,4,7,10,11,14],[3,5,6,8,9,12,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,8,9,10,14],[3,4,6,7,11,12,13]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,8,9,11,14],[3,4,5,6,10,12,13]],[[1,2,7,8,10,12,13],[3,4,5,6,9,11,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,8,10,14],[2,4,5,9,11,12,13]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,6,9,10,11,13],[2,4,5,7,8,12,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,9,11,13],[2,3,6,7,10,12,14]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,7,11,13,14],[2,3,5,8,9,10,12]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,9,13,14],[2,3,4,8,10,11,12]]]; Gx[743]:=Group([(1,4,6)(2,3,5)(9,10,12)(11,13,14)]); # Design 2638: 1 resolution(s), autom. group order 3, simple Rx[744]:=[[[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]],[[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,9,12,13,14],[3,4,5,7,8,10,11]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[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]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[744]:=Group([(1,2,4)(5,6,7)(8,11,13)(9,10,12)]); # Design 2668: 1 resolution(s), autom. group order 3, simple Rx[745]:=[[[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]],[[1,2,5,7,9,12,13],[3,4,6,8,10,11,14]],[[1,2,6,8,9,11,13],[3,4,5,7,10,12,14]],[[1,2,7,8,9,10,12],[3,4,5,6,11,13,14]],[[1,2,7,8,10,13,14],[3,4,5,6,9,11,12]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,7,13,14],[2,4,8,9,10,11,12]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,5,8,12,13,14],[2,4,6,7,9,10,11]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,13,14],[2,3,5,7,10,11,12]],[[1,5,6,8,10,11,12],[2,3,4,7,9,13,14]]]; Gx[745]:=Group([(1,2,4)(5,8,6)(7,9,10)(11,13,12)]); # Design 2669: 1 resolution(s), autom. group order 3, simple Rx[746]:=[[[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]],[[1,2,3,7,10,12,13],[4,5,6,8,9,11,14]],[[1,2,4,8,9,10,14],[3,5,6,7,11,12,13]],[[1,2,5,6,7,8,14],[3,4,9,10,11,12,13]],[[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,9,10,11,14],[3,4,5,6,8,12,13]],[[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]],[[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]]]; Gx[746]:=Group([(1,2,13)(3,7,10)(4,9,5)(8,11,14)]); # Design 2685: 1 resolution(s), autom. group order 3, simple Rx[747]:=[[[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]],[[1,2,4,8,11,13,14],[3,5,6,7,9,10,12]],[[1,2,5,6,7,12,13],[3,4,8,9,10,11,14]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,8,9,10,11],[3,4,6,7,12,13,14]],[[1,2,6,9,10,11,12],[3,4,5,7,8,13,14]],[[1,2,7,8,9,12,14],[3,4,5,6,10,11,13]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,9,11,12,13],[2,4,5,6,8,10,14]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[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]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,5,6,8,10,12,14],[2,3,4,7,9,11,13]]]; Gx[747]:=Group([(1,13,7)(2,5,6)(3,9,11)(4,14,8)]); # Design 2686: 1 resolution(s), autom. group order 3, simple Rx[748]:=[[[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]],[[1,2,3,4,10,12,13],[5,6,7,8,9,11,14]],[[1,2,3,7,8,11,14],[4,5,6,9,10,12,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,9,10,11,12,13],[3,4,5,6,7,8,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,9,13,14],[2,4,7,8,10,11,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,12,13],[2,4,5,9,10,11,14]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,7,8,9,10,14],[2,4,5,6,11,12,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,5,8,12,13,14],[2,3,6,7,9,10,11]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,11,12,14],[2,3,5,8,9,10,13]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,10,11],[2,3,4,8,12,13,14]]]; Gx[748]:=Group([(1,9,4)(2,3,14)(5,13,7)(8,11,12)]);