old system 5
{0,7,10}{1,5,8}{2,4,9,3,6}
{1,3,4}{2,7,8}{0,6,10,5,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,2,10}{3,5,7}
{1,6,9,7}{3,8,4,10}{0,2,5}
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
  9  3  2  5  4  6  8  1  0 10  7
r0->r1 r1->r0 r2->r4 r3->r3 r4->r2 
[c1->c2,c2->c1,c3->c3,c1:012->201,c2:012->120,c3:01234->0123]
[c1->c2,c2->c1,c3->c3,c1:012->021,c2:012->210,c3:01234->3210]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1230,c3:012->021]
[c1->c1,c2->c2,c3->c3,c1:0123->3210,c2:0123->2301,c3:012->120]
[c1->c2,c2->c1,c3->c3,c1:0123->1230,c2:0123->3012,c3:012->201]