old system 0
{2,5,10}{3,6,9}{0,4,1,7,8}
{1,6,10}{3,4,8}{0,5,7,2,9}
{1,3,5}{2,6,8}{0,7,9,4,10}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
is isomorphic with new system 3
{0,4,8}{1,3,5}{2,7,9,6,10}
{0,5,10}{3,4,9}{1,6,2,8,7}
{1,4,10}{3,6,8}{0,7,5,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  2  1  0  3  6  5  4  7  8  9 10
r0->r1 r1->r2 r2->r0 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->2104]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->3210]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->2103,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->012]