old system 3
{2,5,7}{3,6,8}{0,9,1,4,10}
{2,6,10}{3,4,9}{0,5,8,1,7}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,9,6}{3,7,10}
{1,3,5,10}{2,8,7,9}{0,4,6}
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
 10  8  3  1  7  4  0  5  2  9  6
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->102,c3:01234->4321]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->012,c3:01234->2104]
[c1->c2,c2->c1,c3->c3,c1:0123->3210,c2:0123->2103,c3:012->021]
[c1->c2,c2->c1,c3->c3,c1:0123->3210,c2:0123->1230,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->1032,c3:012->210]