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

system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,2,4,9}{1,3,10,6}{5,7,8}
{0,6,2,8}{1,4,10,5}{3,7,9}
{0,7,1,10}{3,6,4,8}{2,5,9}
  0  1  2  3  4  5  6  7  8  9 10
  0  1  2  3  4  5  6  7  9  8 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
isomorphic systems:
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,2,4,9}{1,3,10,6}{5,7,8}
{0,6,2,8}{1,4,10,5}{3,7,9}
{0,7,1,10}{3,6,4,8}{2,5,9}

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

system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,6,3,10}{1,5,9,7}{2,4,8}
{1,3,9,4}{2,5,10,6}{0,7,8}
{1,6,4,10}{3,7,5,8}{0,2,9}
  0  1  2  3  4  5  6  7  8  9 10
  0  1  2  3  4  5  6  7  9  8 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
BUCKET 1 START-------------------------------
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,6,3,10}{1,5,9,7}{2,4,8}
{1,3,9,4}{2,5,10,6}{0,7,8}
{1,6,4,10}{3,7,5,8}{0,2,9}
-----------------------------------
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,6,3,10}{1,5,8,7}{2,4,9}
{1,3,8,4}{2,5,10,6}{0,7,9}
{1,6,4,10}{3,7,5,9}{0,2,8}
-----------------------------------
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,2,4,9}{1,3,10,6}{5,7,8}
{0,6,2,8}{1,4,10,5}{3,7,9}
{0,7,1,10}{3,6,4,8}{2,5,9}
-----------------------------------
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,3,5}{1,8,6,9}{2,7,10}
{0,2,4,8}{1,3,10,6}{5,7,9}
{0,6,2,9}{1,4,10,5}{3,7,8}
{0,7,1,10}{3,6,4,9}{2,5,8}
-----------------------------------
BUCKET 1 END ---------------------------------

start 7 partitioned into 1 buckets