start 13:
contains 9 systems
isomorphic systems:
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{1,5,10,7}{3,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,4,2,8}{3,5,9,7}{0,6,10}

system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{3,5,10,7}{1,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,5,9,7}{2,4,3,8}{0,6,10}
  0  1  2  3  4  5  6  7  8  9 10
  0  3  2  1  4  5  6  7  8  9 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2103,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->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
system 2 and system 3 are non-isomorphic
system 3 and system 4 are non-isomorphic
isomorphic systems:
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{3,5,10,7}{1,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,5,9,7}{2,4,3,8}{0,6,10}

system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{1,5,9,7}{3,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,4,2,8}{3,5,10,7}{0,6,9}
  0  1  2  3  4  5  6  7  8  9 10
  0  3  2  1  4  5  6  7  8 10  9
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->021]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2301,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->0321,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->2103,c3:012->012]
system 3 and system 5 are non-isomorphic
isomorphic systems:
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{1,5,9,7}{3,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,4,2,8}{3,5,10,7}{0,6,9}

system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{3,5,9,7}{1,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,5,10,7}{2,4,3,8}{0,6,9}
  0  1  2  3  4  5  6  7  8  9 10
  0  3  2  1  4  5  6  7  8  9 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2103,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->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
isomorphic systems:
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{5,8,7,10}{1,3,4}
{0,5,9,7}{1,6,3,8}{2,4,10}
{1,5,3,7}{2,8,4,9}{0,6,10}

system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{5,8,7,9}{1,3,4}
{0,5,10,7}{1,6,3,8}{2,4,9}
{1,5,3,7}{2,8,4,10}{0,6,9}
  0  1  2  3  4  5  6  7  8  9 10
  0  1  2  3  4  5  6  7  8 10  9
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->021]
[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]
system 6 and system 7 are non-isomorphic
system 5 and system 7 are non-isomorphic
system 7 and system 8 are non-isomorphic
isomorphic systems:
system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{5,8,7,9}{1,3,4}
{0,5,10,7}{1,6,3,8}{2,4,9}
{1,5,3,7}{2,8,4,10}{0,6,9}

system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,5,10}{1,6,3,7}{2,4,8}
{1,5,3,8}{4,9,7,10}{0,2,6}
  0  1  2  3  4  5  6  7  8  9 10
  5  3  8  1  4  9  7 10  6  2  0
r0->r4 r1->r0 r2->r2 r3->r3 r4->r1 
[c1->c1,c2->c2,c3->c3,c1:0123->1230,c2:0123->0123,c3:012->210]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->3210,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->1230,c2:0123->1230,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->2301,c3:012->210]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->3210,c3:012->120]
system 7 and system 9 are non-isomorphic
isomorphic systems:
system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,5,10}{1,6,3,7}{2,4,8}
{1,5,3,8}{4,9,7,10}{0,2,6}

system 9
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,7,10}{1,5,3,6}{2,4,8}
{1,7,3,8}{4,9,5,10}{0,2,6}
  0  1  2  3  4  5  6  7  8  9 10
  0  1  2  3  4  7  6  5  8  9 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[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->021]
[c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->012]
[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]
BUCKET 3 START-------------------------------
system 7
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,5,8,7}{2,9,4,10}{1,3,6}
{0,9,6,10}{1,5,3,7}{2,4,8}
{1,4,3,8}{5,9,7,10}{0,2,6}
-----------------------------------
BUCKET 3 END ---------------------------------
BUCKET 2 START-------------------------------
system 9
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,7,10}{1,5,3,6}{2,4,8}
{1,7,3,8}{4,9,5,10}{0,2,6}
-----------------------------------
system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,5,10}{1,6,3,7}{2,4,8}
{1,5,3,8}{4,9,7,10}{0,2,6}
-----------------------------------
system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{5,8,7,9}{1,3,4}
{0,5,10,7}{1,6,3,8}{2,4,9}
{1,5,3,7}{2,8,4,10}{0,6,9}
-----------------------------------
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{5,8,7,10}{1,3,4}
{0,5,9,7}{1,6,3,8}{2,4,10}
{1,5,3,7}{2,8,4,9}{0,6,10}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{3,5,9,7}{1,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,5,10,7}{2,4,3,8}{0,6,9}
-----------------------------------
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,10}{1,5,9,7}{3,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,4,2,8}{3,5,10,7}{0,6,9}
-----------------------------------
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{3,5,10,7}{1,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,5,9,7}{2,4,3,8}{0,6,10}
-----------------------------------
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,6,8}{1,9,3,10}{2,5,7}
{0,2,6,9}{1,5,10,7}{3,4,8}
{0,5,8,7}{2,9,4,10}{1,3,6}
{1,4,2,8}{3,5,9,7}{0,6,10}
-----------------------------------
BUCKET 1 END ---------------------------------

start 13 partitioned into 3 buckets