old system 3
{2,5,7}{3,6,10}{0,4,8,1,9}
{1,3,7}{2,4,10}{0,5,9,6,8}
{0,7,10}{1,4,6}{2,8,5,3,9}
{0,2,6}{1,5,10}{3,4,9,7,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
is isomorphic with new system 6
{0,2,4}{1,5,8}{3,6,9,7,10}
{0,5,7}{3,4,8}{1,9,2,6,10}
{0,6,8}{1,3,7}{2,5,9,4,10}
{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  5  6  7  4 10  9  8
r0->r3 r1->r0 r2->r1 r3->r2 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->021,c2:012->012,c3:01234->2340]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0432]
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->1230,c3:012->210]