old system 2
{1,5,9}{2,7,10}{0,4,3,6,8}
{1,6,10}{2,4,9}{0,5,3,8,7}
{1,3,7}{2,5,8}{0,9,6,4,10}
{0,2,6}{1,4,8}{3,9,7,5,10}
{0,1,2,3}{4,5,6,7}{8,9,10}
is isomorphic with new system 4
{0,2,4}{1,6,8}{3,9,5,7,10}
{0,5,8}{1,3,7}{2,9,6,4,10}
{0,6,10}{1,4,9}{2,5,3,8,7}
{0,7,9}{1,5,10}{2,6,3,4,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
  0  1  2  3  4  5  6  7  8  9 10
  2  1  0  3  6  5  4  7  8 10  9
r0->r3 r1->r2 r2->r1 r3->r0 r4->r4 
[c1->c2,c2->c1,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->0123]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0432]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->012,c3:01234->0432]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->2103,c3:012->021]