old system 4
{1,4,6}{2,5,10}{0,7,8,3,9}
{1,5,8}{2,7,9}{0,6,3,4,10}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,9,6,10}{3,5,7}
{0,4,9,5}{1,3,10,7}{2,6,8}
is isomorphic to new system 4
{0,1,2}{3,4,5}{6,7,8,9,10}
{0,3,6}{1,7,9}{2,4,10,5,8}
{0,4,7,5}{1,3,8,10}{2,6,9}
{0,8,4,9}{2,7,3,10}{1,5,6}
{1,4,6,8}{2,3,9,5}{0,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  8  3  1 10  4  0  5  7  6  9  2
r0->r0 r1->r1 r2->r2 r3->r4 r4->r3 
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->102,c3:01234->2104]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->012,c3:01234->4321]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->120]
[c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->1230,c3:012->201]
[c1->c1,c2->c2,c3->c3,c1:0123->1230,c2:0123->2301,c3:012->012]