old system 2
{0,2,7}{1,4,10}{3,5,8,6,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,10}{1,6,4,9}{3,7,8}
{0,6,2,9}{1,3,4,8}{5,7,10}
is isomorphic to new system 3
{0,1,2}{3,4,5}{6,7,8,9,10}
{0,3,1,6}{2,4,7,9}{5,8,10}
{0,4,1,8}{2,3,7,10}{5,6,9}
{0,5,1,7}{3,9,4,10}{2,6,8}
{0,9,1,10}{3,6,4,8}{2,5,7}
  0  1  2  3  4  5  6  7  8  9 10
  1  4  0  8  3  7 10  2  6  9  5
r0->r0 r1->r2 r2->r1 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->102,c3:01234->2104]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->1230,c3:012->120]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->1230,c3:012->120]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->201]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->201]