old system 0
{1,5,7}{3,6,10}{0,2,8,4,9}
{1,6,9}{3,7,8}{0,4,10,2,5}
{1,3,4}{2,7,9}{0,6,8,5,10}
{2,4,6}{3,5,9}{0,7,10,1,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
is isomorphic with new system 7
{0,2,4}{1,5,8}{3,6,9,7,10}
{0,5,7}{2,6,10}{1,3,8,4,9}
{0,6,8}{2,5,9}{1,7,3,4,10}
{1,4,6}{2,7,8}{0,9,3,5,10}
{0,1,2,3}{4,5,6,7}{8,9,10}
  0  1  2  3  4  5  6  7  8  9 10
  3  0  1  2  4  7  6  5  9  8 10
r0->r1 r1->r2 r2->r0 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->021,c2:012->012,c3:01234->1043]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->2340]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->2340]
[c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->0321,c3:012->102]