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

system 2
{0,4,8}{1,5,7}{2,9,3,6,10}
{0,5,10}{2,7,8}{1,3,4,9,6}
{0,7,9}{1,4,10}{2,5,3,8,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  4  5  6  7  0  1  2  3  8  9 10
r0->r0 r1->r2 r2->r1 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->120,c3:01234->3210]
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->102,c3:01234->1043]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->102,c3:01234->2104]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2103,c3:012->102]
system 2 and system 3 are non-isomorphic
system 3 and system 4 are non-isomorphic
isomorphic systems:
system 2
{0,4,8}{1,5,7}{2,9,3,6,10}
{0,5,10}{2,7,8}{1,3,4,9,6}
{0,7,9}{1,4,10}{2,5,3,8,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 4
{0,4,9}{1,3,5}{2,7,8,6,10}
{0,5,10}{3,4,8}{1,6,2,9,7}
{1,4,10}{3,6,9}{0,7,5,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  4  5  6  7  0  1  2  3  9  8 10
r0->r0 r1->r2 r2->r1 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->201,c3:01234->3210]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->102,c3:01234->2104]
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->102,c3:01234->1043]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->102]
system 3 and system 5 are non-isomorphic
isomorphic systems:
system 4
{0,4,9}{1,3,5}{2,7,8,6,10}
{0,5,10}{3,4,8}{1,6,2,9,7}
{1,4,10}{3,6,9}{0,7,5,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 5
{0,4,9}{1,5,7}{2,8,3,6,10}
{0,5,10}{2,7,9}{1,3,4,8,6}
{0,7,8}{1,4,10}{2,5,3,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  4  5  6  7  0  1  2  3  8  9 10
r0->r0 r1->r2 r2->r1 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->120,c3:01234->3210]
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->102,c3:01234->1043]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->102,c3:01234->2104]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2103,c3:012->102]
isomorphic systems:
system 3
{0,4,8}{2,6,10}{1,5,3,9,7}
{0,5,10}{2,7,8}{1,3,4,9,6}
{1,4,10}{3,6,8}{0,7,5,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 6
{0,4,9}{2,6,10}{1,5,3,8,7}
{0,5,10}{2,7,9}{1,3,4,8,6}
{1,4,10}{3,6,9}{0,7,5,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  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,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[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]
isomorphic systems:
system 6
{0,4,9}{2,6,10}{1,5,3,8,7}
{0,5,10}{2,7,9}{1,3,4,8,6}
{1,4,10}{3,6,9}{0,7,5,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 7
{0,4,10}{2,6,8}{1,5,3,9,7}
{0,7,8}{2,5,10}{1,3,6,9,4}
{1,6,10}{3,4,8}{0,5,7,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  2  1  0  3  6  5  4  7  9  8 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->3210]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->2103,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->0321,c3:012->012]
isomorphic systems:
system 7
{0,4,10}{2,6,8}{1,5,3,9,7}
{0,7,8}{2,5,10}{1,3,6,9,4}
{1,6,10}{3,4,8}{0,5,7,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 8
{0,4,10}{2,6,9}{1,5,3,8,7}
{0,7,9}{2,5,10}{1,3,6,8,4}
{1,6,10}{3,4,9}{0,5,7,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  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,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[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]
system 8 and system 9 are non-isomorphic
isomorphic systems:
system 5
{0,4,9}{1,5,7}{2,8,3,6,10}
{0,5,10}{2,7,9}{1,3,4,8,6}
{0,7,8}{1,4,10}{2,5,3,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 9
{0,7,8}{2,5,10}{1,3,6,9,4}
{1,5,7}{2,6,8}{0,9,3,4,10}
{1,6,10}{2,7,9}{0,4,8,3,5}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  2  1  0  3  6  5  4  7  9  8 10
r0->r1 r1->r0 r2->r2 r3->r3 r4->r4 
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->0432]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->2103,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->0321,c3:012->012]
system 8 and system 10 are non-isomorphic
isomorphic systems:
system 9
{0,7,8}{2,5,10}{1,3,6,9,4}
{1,5,7}{2,6,8}{0,9,3,4,10}
{1,6,10}{2,7,9}{0,4,8,3,5}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 10
{0,7,9}{2,5,10}{1,3,6,8,4}
{1,5,7}{2,6,9}{0,8,3,4,10}
{1,6,10}{2,7,8}{0,4,9,3,5}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  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,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[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]
system 8 and system 11 are non-isomorphic
isomorphic systems:
system 10
{0,7,9}{2,5,10}{1,3,6,8,4}
{1,5,7}{2,6,9}{0,8,3,4,10}
{1,6,10}{2,7,8}{0,4,9,3,5}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 11
{1,3,5}{2,6,8}{0,7,9,4,10}
{1,6,10}{3,4,8}{0,5,7,2,9}
{2,5,10}{3,6,9}{0,4,1,7,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  4  5  6  7  0  1  2  3  9  8 10
r0->r1 r1->r0 r2->r2 r3->r3 r4->r4 
[c1->c2,c2->c1,c3->c3,c1:012->102,c2:012->102,c3:01234->1234]
[c1->c1,c2->c2,c3->c3,c1:012->201,c2:012->102,c3:01234->3210]
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->102,c3:01234->1043]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->102]
system 8 and system 12 are non-isomorphic
isomorphic systems:
system 11
{1,3,5}{2,6,8}{0,7,9,4,10}
{1,6,10}{3,4,8}{0,5,7,2,9}
{2,5,10}{3,6,9}{0,4,1,7,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}

system 12
{1,3,5}{2,6,9}{0,7,8,4,10}
{1,6,10}{3,4,9}{0,5,7,2,8}
{2,5,10}{3,6,8}{0,4,1,7,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
  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,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:012->012,c2:012->012,c3:01234->0123]
[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]
BUCKET 2 START-------------------------------
system 8
{0,4,10}{2,6,9}{1,5,3,8,7}
{0,7,9}{2,5,10}{1,3,6,8,4}
{1,6,10}{3,4,9}{0,5,7,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 7
{0,4,10}{2,6,8}{1,5,3,9,7}
{0,7,8}{2,5,10}{1,3,6,9,4}
{1,6,10}{3,4,8}{0,5,7,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 6
{0,4,9}{2,6,10}{1,5,3,8,7}
{0,5,10}{2,7,9}{1,3,4,8,6}
{1,4,10}{3,6,9}{0,7,5,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 3
{0,4,8}{2,6,10}{1,5,3,9,7}
{0,5,10}{2,7,8}{1,3,4,9,6}
{1,4,10}{3,6,8}{0,7,5,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 12
{1,3,5}{2,6,9}{0,7,8,4,10}
{1,6,10}{3,4,9}{0,5,7,2,8}
{2,5,10}{3,6,8}{0,4,1,7,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 11
{1,3,5}{2,6,8}{0,7,9,4,10}
{1,6,10}{3,4,8}{0,5,7,2,9}
{2,5,10}{3,6,9}{0,4,1,7,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 10
{0,7,9}{2,5,10}{1,3,6,8,4}
{1,5,7}{2,6,9}{0,8,3,4,10}
{1,6,10}{2,7,8}{0,4,9,3,5}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 9
{0,7,8}{2,5,10}{1,3,6,9,4}
{1,5,7}{2,6,8}{0,9,3,4,10}
{1,6,10}{2,7,9}{0,4,8,3,5}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 5
{0,4,9}{1,5,7}{2,8,3,6,10}
{0,5,10}{2,7,9}{1,3,4,8,6}
{0,7,8}{1,4,10}{2,5,3,9,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 4
{0,4,9}{1,3,5}{2,7,8,6,10}
{0,5,10}{3,4,8}{1,6,2,9,7}
{1,4,10}{3,6,9}{0,7,5,2,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 2
{0,4,8}{1,5,7}{2,9,3,6,10}
{0,5,10}{2,7,8}{1,3,4,9,6}
{0,7,9}{1,4,10}{2,5,3,8,6}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
system 1
{0,4,8}{1,3,5}{2,7,9,6,10}
{0,5,10}{3,4,9}{1,6,2,8,7}
{1,4,10}{3,6,8}{0,7,5,2,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,5,9}{3,7,10}
-----------------------------------
BUCKET 1 END ---------------------------------

all partitioned into 2 buckets