B:=[]; G:=[]; # Design 1: autom. group order 39, simple, residual B[1]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,13,14],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,12,14],[1,7,8,10,11,12,13],[2,3,6,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,8,12,13],[2,4,5,7,9,11,14],[2,4,6,10,12,13,14],[2,5,6,7,10,11,13],[2,6,8,9,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,11],[3,4,6,7,9,13,14],[3,5,7,8,9,10,13],[3,5,9,11,12,13,14],[4,5,6,8,9,11,12]]; G[1]:=Group([(2,10,11)(3,9,13)(5,12,8)(6,7,14),(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2: autom. group order 39, simple, residual B[2]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,9,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,7,9,10,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,10,11,13],[1,5,6,8,10,13,14],[1,7,8,9,11,12,13],[2,3,6,7,12,13,14],[2,3,6,8,10,11,13],[2,4,5,7,8,13,14],[2,4,5,7,9,10,12],[2,4,6,9,10,11,14],[2,5,6,7,9,11,13],[2,7,8,10,11,12,14],[3,4,5,10,12,13,14],[3,4,6,8,9,12,13],[3,4,7,8,9,11,14],[3,5,6,9,11,12,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,12]]; G[2]:=Group([(2,6,13)(3,7,11)(5,10,12)(8,14,9),(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 3: autom. group order 39, simple, residual B[3]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,12,13,14],[1,2,6,7,9,12,14],[1,3,4,7,8,13,14],[1,3,7,9,10,11,14],[1,4,5,9,10,11,12],[1,4,6,10,11,13,14],[1,5,6,7,8,11,13],[1,5,6,8,10,12,14],[1,7,8,9,10,12,13],[2,3,5,8,10,13,14],[2,3,6,10,11,12,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,10],[2,5,7,9,11,13,14],[3,4,5,6,9,10,13],[3,4,5,7,9,12,14],[3,4,6,7,8,11,12],[3,5,7,10,11,12,13],[3,6,8,9,12,13,14],[4,5,6,8,9,11,14]]; G[3]:=Group([(2,9,12)(3,10,5)(4,11,8)(6,7,14),(1,2,3)(4,5,8)(6,11,9)(7,12,10)]); # Design 4: autom. group order 39, simple, residual B[4]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,4,9,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,11,13],[1,3,4,6,10,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,9,14],[1,5,7,8,9,10,12],[1,6,8,10,11,12,14],[2,3,4,7,11,12,14],[2,3,6,7,9,10,14],[2,3,6,8,9,12,13],[2,4,5,7,8,10,11],[2,4,5,9,10,12,13],[2,5,6,9,11,12,14],[2,7,8,10,12,13,14],[3,4,5,6,8,12,14],[3,4,8,10,11,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,13,14],[4,5,6,8,9,11,13],[4,6,7,9,10,11,12]]; G[4]:=Group([(2,7,14)(3,12,10)(4,13,6)(8,9,11),(1,2,6,14,12,4,13,9,8,7,10,11,3)]);