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

system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
{0,4,6,9}{1,3,8,7}{2,5,10}
{0,5,8,6}{2,7,3,9}{1,4,10}
{1,6,2,8}{3,4,9,5}{0,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  3  0  1  2  7  4  5  6  8  9 10
r0->r0 r1->r2 r2->r3 r3->r4 r4->r1 
[c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->3012,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
[c1->c2,c2->c1,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]
system 2 and system 3 are non-isomorphic
BUCKET 2 START-------------------------------
system 3
{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}{2,6,8,7}{1,4,10}
{1,3,4,6}{2,8,5,9}{0,7,10}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
{0,4,6,9}{1,3,8,7}{2,5,10}
{0,5,8,6}{2,7,3,9}{1,4,10}
{1,6,2,8}{3,4,9,5}{0,7,10}
-----------------------------------
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
{0,4,3,9}{1,6,8,7}{2,5,10}
{0,5,9,6}{2,7,3,8}{1,4,10}
{1,3,5,8}{2,6,4,9}{0,7,10}
-----------------------------------
BUCKET 1 END ---------------------------------

start 1 partitioned into 2 buckets