old system 0
{0,7,10}{1,3,4}{2,6,8,5,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
{0,4,9,6}{1,7,3,8}{2,5,10}
{0,5,3,9}{1,6,4,10}{2,7,8}
is isomorphic to new system 2
{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}
{0,5,2,7}{1,9,3,10}{4,6,8}
{0,9,4,10}{2,6,3,8}{1,5,7}
  0  1  2  3  4  5  6  7  8  9 10
  3  0  6  1  2  9  7  4  8 10  5
r0->r0 r1->r1 r2->r4 r3->r2 r4->r3 
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->0321,c3:012->120]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->021]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->120]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0321,c3:012->102]