old system 1
{2,6,9}{3,7,10}{0,4,1,8,5}
{1,3,6}{2,4,10}{0,8,7,5,9}
{0,6,10}{1,7,9}{2,5,3,4,8}
{0,2,7}{1,5,10}{3,8,6,4,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
is isomorphic with new system 3
{0,2,4}{1,6,8}{3,9,5,7,10}
{0,5,8}{1,3,7}{2,9,6,4,10}
{0,7,9}{3,4,8}{1,5,2,6,10}
{1,4,9}{2,7,8}{0,6,3,5,10}
{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  6  5  4  7 10  9  8
r0->r3 r1->r0 r2->r2 r3->r1 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->0432]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->012,c3:01234->0432]
[c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->2103,c3:012->210]