isomorphic systems:
system 1
{0,4,6}{1,7,8}{2,9,3,5,10}
{0,5,9}{1,4,10}{2,6,8,3,7}
{0,7,10}{2,5,8}{1,3,4,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}

system 2
{0,4,9}{1,3,7}{2,6,8,5,10}
{0,7,10}{2,5,9}{1,6,4,3,8}
{1,4,10}{2,7,8}{0,5,3,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
  0  1  2  3  4  5  6  7  8  9 10
  7  4  5  6  1  2  3  0  9  8 10
r0->r0 r1->r2 r2->r1 r3->r3 r4->r4 
[c1->c2,c2->c1,c3->c3,c1:012->201,c2:012->102,c3:01234->3210]
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->102,c3:01234->1234]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->102,c3:01234->2104]
[c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->1230,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->2103,c3:012->102]
BUCKET 1 START-------------------------------
system 2
{0,4,9}{1,3,7}{2,6,8,5,10}
{0,7,10}{2,5,9}{1,6,4,3,8}
{1,4,10}{2,7,8}{0,5,3,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
-----------------------------------
system 1
{0,4,6}{1,7,8}{2,9,3,5,10}
{0,5,9}{1,4,10}{2,6,8,3,7}
{0,7,10}{2,5,8}{1,3,4,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
-----------------------------------
BUCKET 1 END ---------------------------------

all partitioned into 1 buckets