start 5:
contains 16 systems
isomorphic systems:
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,8}{1,3,9,7}{4,6,10}
{0,7,2,9}{3,4,8,6}{1,5,10}
{1,4,9,6}{3,5,7,8}{0,2,10}

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

system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{1,3,9,7}{4,6,8}
{0,7,2,8}{3,4,9,6}{1,5,10}
{1,4,10,6}{3,5,7,8}{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]
system 4 and system 5 are non-isomorphic
system 2 and system 5 are non-isomorphic
system 5 and system 6 are non-isomorphic
system 4 and system 6 are non-isomorphic
system 2 and system 6 are non-isomorphic
system 6 and system 7 are non-isomorphic
isomorphic systems:
system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,8}{3,4,9,6}{1,5,10}
{1,3,5,7}{4,8,6,10}{0,2,9}

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

system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,9}{4,8,6,10}{1,3,5}
{1,7,5,10}{3,4,9,6}{0,2,8}
  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->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]
system 8 and system 9 are non-isomorphic
system 7 and system 9 are non-isomorphic
system 4 and system 9 are non-isomorphic
system 2 and system 9 are non-isomorphic
system 9 and system 10 are non-isomorphic
isomorphic systems:
system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,9}{4,8,6,10}{1,3,5}
{1,7,5,10}{3,4,9,6}{0,2,8}

system 10
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{1,3,5,10}{4,6,9}
{0,9,2,10}{3,4,8,6}{1,5,7}
{1,4,10,6}{3,8,7,9}{0,2,5}
  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->r1 r2->r4 r3->r3 r4->r2 
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2301,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2301,c3:012->201]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->120]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->012]
system 9 and system 11 are non-isomorphic
system 10 and system 11 are non-isomorphic
isomorphic systems:
system 7
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,9}{3,4,8,6}{1,5,10}
{1,3,5,7}{4,9,6,10}{0,2,8}

system 11
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{0,9,2,10}{1,3,5,7}{4,6,8}
{1,4,10,6}{3,8,7,9}{0,2,5}
  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->r1 r2->r4 r3->r2 r4->r3 
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->201]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->1032,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2301,c2:0123->0123,c3:012->012]
system 9 and system 12 are non-isomorphic
system 10 and system 12 are non-isomorphic
system 11 and system 12 are non-isomorphic
isomorphic systems:
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{1,3,9,7}{4,6,8}
{0,7,2,8}{3,4,9,6}{1,5,10}
{1,4,10,6}{3,5,7,8}{0,2,9}

system 12
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{0,9,2,10}{3,5,7,8}{1,4,6}
{1,3,9,7}{4,8,6,10}{0,2,5}
  0  1  2  3  4  5  6  7  8  9 10
  2  8  0  7  4  9  6  3  1  5 10
r0->r2 r1->r1 r2->r3 r3->r0 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->1230,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->3210,c3:012->120]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->3012,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->3210,c3:012->102]
system 9 and system 13 are non-isomorphic
isomorphic systems:
system 10
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{1,3,5,10}{4,6,9}
{0,9,2,10}{3,4,8,6}{1,5,7}
{1,4,10,6}{3,8,7,9}{0,2,5}

system 13
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,9}{1,3,5,10}{4,6,8}
{0,8,2,10}{3,4,9,6}{1,5,7}
{1,4,10,6}{3,8,7,9}{0,2,5}
  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->0321,c3:012->012]
system 9 and system 14 are non-isomorphic
system 13 and system 14 are non-isomorphic
isomorphic systems:
system 11
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{0,9,2,10}{1,3,5,7}{4,6,8}
{1,4,10,6}{3,8,7,9}{0,2,5}

system 14
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,9}{3,4,8,6}{1,5,10}
{0,8,2,10}{1,3,5,7}{4,6,9}
{1,4,10,6}{3,8,7,9}{0,2,5}
  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->0321,c3:012->012]
system 9 and system 15 are non-isomorphic
system 13 and system 15 are non-isomorphic
system 14 and system 15 are non-isomorphic
isomorphic systems:
system 12
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{0,9,2,10}{3,5,7,8}{1,4,6}
{1,3,9,7}{4,8,6,10}{0,2,5}

system 15
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,9}{3,4,8,6}{1,5,10}
{0,8,2,10}{3,5,7,9}{1,4,6}
{1,3,8,7}{4,9,6,10}{0,2,5}
  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 9
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,8,2,9}{3,4,10,6}{1,5,7}
{1,3,5,10}{4,8,6,9}{0,2,7}

system 16
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,10}{4,8,6,9}{1,3,5}
{0,8,2,9}{1,7,5,10}{3,4,6}
{1,4,10,6}{3,8,7,9}{0,2,5}
  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->r1 r2->r4 r3->r2 r4->r3 
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->201]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->1032,c3:012->201]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->120]
BUCKET 5 START-------------------------------
system 16
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,10}{4,8,6,9}{1,3,5}
{0,8,2,9}{1,7,5,10}{3,4,6}
{1,4,10,6}{3,8,7,9}{0,2,5}
-----------------------------------
system 9
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,8,2,9}{3,4,10,6}{1,5,7}
{1,3,5,10}{4,8,6,9}{0,2,7}
-----------------------------------
BUCKET 5 END ---------------------------------
BUCKET 4 START-------------------------------
system 13
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,9}{1,3,5,10}{4,6,8}
{0,8,2,10}{3,4,9,6}{1,5,7}
{1,4,10,6}{3,8,7,9}{0,2,5}
-----------------------------------
system 10
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{1,3,5,10}{4,6,9}
{0,9,2,10}{3,4,8,6}{1,5,7}
{1,4,10,6}{3,8,7,9}{0,2,5}
-----------------------------------
system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,9}{4,8,6,10}{1,3,5}
{1,7,5,10}{3,4,9,6}{0,2,8}
-----------------------------------
system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,8}{4,9,6,10}{1,3,5}
{1,7,5,10}{3,4,8,6}{0,2,9}
-----------------------------------
BUCKET 4 END ---------------------------------
BUCKET 3 START-------------------------------
system 14
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,9}{3,4,8,6}{1,5,10}
{0,8,2,10}{1,3,5,7}{4,6,9}
{1,4,10,6}{3,8,7,9}{0,2,5}
-----------------------------------
system 11
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{0,9,2,10}{1,3,5,7}{4,6,8}
{1,4,10,6}{3,8,7,9}{0,2,5}
-----------------------------------
system 7
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,9}{3,4,8,6}{1,5,10}
{1,3,5,7}{4,9,6,10}{0,2,8}
-----------------------------------
system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{3,8,7,9}{1,4,6}
{0,7,2,8}{3,4,9,6}{1,5,10}
{1,3,5,7}{4,8,6,10}{0,2,9}
-----------------------------------
BUCKET 3 END ---------------------------------
BUCKET 2 START-------------------------------
system 15
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,9}{3,4,8,6}{1,5,10}
{0,8,2,10}{3,5,7,9}{1,4,6}
{1,3,8,7}{4,9,6,10}{0,2,5}
-----------------------------------
system 12
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{0,9,2,10}{3,5,7,8}{1,4,6}
{1,3,9,7}{4,8,6,10}{0,2,5}
-----------------------------------
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{1,3,9,7}{4,6,8}
{0,7,2,8}{3,4,9,6}{1,5,10}
{1,4,10,6}{3,5,7,8}{0,2,9}
-----------------------------------
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,10}{1,3,8,7}{4,6,9}
{0,7,2,9}{3,4,8,6}{1,5,10}
{1,4,10,6}{3,5,7,9}{0,2,8}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,9}{1,3,8,7}{4,6,10}
{0,7,2,8}{3,4,9,6}{1,5,10}
{1,4,8,6}{3,5,7,9}{0,2,10}
-----------------------------------
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,6}{1,8,5,9}{3,7,10}
{0,5,2,8}{1,3,9,7}{4,6,10}
{0,7,2,9}{3,4,8,6}{1,5,10}
{1,4,9,6}{3,5,7,8}{0,2,10}
-----------------------------------
BUCKET 1 END ---------------------------------

start 5 partitioned into 5 buckets