start 11: contains 17 systems system 1 and system 2 are non-isomorphic system 2 and system 3 are non-isomorphic system 1 and system 3 are non-isomorphic system 3 and system 4 are non-isomorphic system 2 and system 4 are non-isomorphic isomorphic systems: system 1 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,1,7}{2,9,3,10}{4,6,8} {0,9,4,10}{2,5,8,7}{1,3,6} {1,4,3,8}{5,9,7,10}{0,2,6} system 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,6}{4,9,7,10}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,8,6}{3,9,5,10}{0,2,7} 0 1 2 3 4 5 6 7 8 9 10 6 5 4 7 1 2 3 0 8 9 10 r0->r0 r1->r4 r2->r2 r3->r1 r4->r3 [c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1230,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->2103,c3:012->210] [c1->c1,c2->c2,c3->c3,c1:0123->3210,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1230,c3:012->120] [c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->210] system 3 and system 5 are non-isomorphic system 2 and system 5 are non-isomorphic isomorphic systems: system 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,6}{4,9,7,10}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,8,6}{3,9,5,10}{0,2,7} system 5 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,9}{1,5,10,7}{3,4,8} {1,3,6,4}{5,8,7,9}{0,2,10} 0 1 2 3 4 5 6 7 8 9 10 0 4 2 8 1 9 6 10 3 5 7 r0->r1 r1->r0 r2->r3 r3->r2 r4->r4 [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->0321,c2:0123->0123,c3:012->120] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2103,c3:012->201] [c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->1032,c3:012->012] isomorphic systems: system 3 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,6}{3,9,7,10}{1,4,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,3,8,6}{4,9,5,10}{0,2,7} system 6 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,9}{5,8,7,10}{1,3,4} {1,5,9,7}{3,6,4,8}{0,2,10} 0 1 2 3 4 5 6 7 8 9 10 0 4 2 8 1 9 6 10 3 5 7 r0->r1 r1->r0 r2->r3 r3->r2 r4->r4 [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->0321,c2:0123->1032,c3:012->201] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2103,c3:012->201] [c1->c2,c2->c1,c3->c3,c1:0123->2301,c2:0123->0123,c3:012->012] system 6 and system 7 are non-isomorphic system 2 and system 7 are non-isomorphic isomorphic systems: system 5 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,9}{1,5,10,7}{3,4,8} {1,3,6,4}{5,8,7,9}{0,2,10} system 7 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,10}{1,5,9,7}{3,4,8} {1,3,6,4}{5,8,7,10}{0,2,9} 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->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} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,9}{5,8,7,10}{1,3,4} {1,5,9,7}{3,6,4,8}{0,2,10} system 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,10}{5,8,7,9}{1,3,4} {1,5,10,7}{3,6,4,8}{0,2,9} 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->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 2 and system 9 are non-isomorphic system 7 and system 9 are non-isomorphic system 9 and system 10 are non-isomorphic system 8 and system 10 are non-isomorphic system 2 and system 10 are non-isomorphic system 7 and system 10 are non-isomorphic isomorphic systems: system 10 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,9}{1,6,8,7}{3,4,10} {0,7,2,10}{3,6,4,9}{1,5,8} {1,3,8,4}{5,9,7,10}{0,2,6} system 11 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,9}{3,6,4,10}{1,7,8} {0,7,2,10}{1,5,8,6}{3,4,9} {1,3,8,4}{5,9,7,10}{0,2,6} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 7 6 5 8 10 9 r0->r0 r1->r1 r2->r3 r3->r2 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->021] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,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->2301,c3:012->012] isomorphic systems: system 11 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,9}{3,6,4,10}{1,7,8} {0,7,2,10}{1,5,8,6}{3,4,9} {1,3,8,4}{5,9,7,10}{0,2,6} system 12 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,10}{1,6,8,7}{3,4,9} {0,7,2,9}{3,6,4,10}{1,5,8} {1,3,8,4}{5,9,7,10}{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->r3 r3->r2 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->0123,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->2103,c3:012->012] isomorphic systems: system 12 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,10}{1,6,8,7}{3,4,9} {0,7,2,9}{3,6,4,10}{1,5,8} {1,3,8,4}{5,9,7,10}{0,2,6} system 13 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,10}{3,6,4,9}{1,7,8} {0,7,2,9}{1,5,8,6}{3,4,10} {1,3,8,4}{5,9,7,10}{0,2,6} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 7 6 5 8 10 9 r0->r0 r1->r1 r2->r3 r3->r2 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->021] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,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->2301,c3:012->012] system 13 and system 14 are non-isomorphic system 9 and system 14 are non-isomorphic system 8 and system 14 are non-isomorphic isomorphic systems: system 2 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,1,7}{2,9,4,10}{3,6,8} {0,9,3,10}{2,5,8,7}{1,4,6} {1,3,4,8}{5,9,7,10}{0,2,6} system 14 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,8,7}{2,9,3,10}{1,4,6} {0,9,4,10}{1,5,2,7}{3,6,8} {1,3,4,8}{5,9,7,10}{0,2,6} 0 1 2 3 4 5 6 7 8 9 10 2 1 0 3 4 5 6 7 8 9 10 r0->r0 r1->r1 r2->r3 r3->r2 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->2103,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->102] system 13 and system 15 are non-isomorphic system 9 and system 15 are non-isomorphic system 8 and system 15 are non-isomorphic system 14 and system 15 are non-isomorphic isomorphic systems: system 7 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,10}{1,5,9,7}{3,4,8} {1,3,6,4}{5,8,7,10}{0,2,9} system 15 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,3,10}{1,5,2,7}{4,6,8} {1,4,3,8}{5,9,7,10}{0,2,6} 0 1 2 3 4 5 6 7 8 9 10 7 0 5 8 4 10 2 9 6 3 1 r0->r2 r1->r0 r2->r4 r3->r3 r4->r1 [c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->2301,c3:012->210] [c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->0321,c3:012->021] [c1->c2,c2->c1,c3->c3,c1:0123->2301,c2:0123->3210,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->3210,c2:0123->0321,c3:012->201] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->3210,c3:012->210] system 13 and system 16 are non-isomorphic system 9 and system 16 are non-isomorphic isomorphic systems: system 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,10}{5,8,7,9}{1,3,4} {1,5,10,7}{3,6,4,8}{0,2,9} system 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,6,2,7}{3,9,5,10}{1,4,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,3,8,6}{4,9,7,10}{0,2,5} 0 1 2 3 4 5 6 7 8 9 10 0 4 2 8 1 9 6 10 3 5 7 r0->r1 r1->r0 r2->r3 r3->r2 r4->r4 [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->2103,c3:012->120] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->1032,c3:012->120] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->2301,c3:012->012] system 13 and system 17 are non-isomorphic system 9 and system 17 are non-isomorphic system 16 and system 17 are non-isomorphic system 14 and system 17 are non-isomorphic isomorphic systems: system 15 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,3,10}{1,5,2,7}{4,6,8} {1,4,3,8}{5,9,7,10}{0,2,6} system 17 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,6,2,7}{4,9,5,10}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,8,6}{3,9,7,10}{0,2,5} 0 1 2 3 4 5 6 7 8 9 10 4 7 6 5 1 2 3 0 8 9 10 r0->r0 r1->r4 r2->r1 r3->r2 r4->r3 [c1->c2,c2->c1,c3->c3,c1:0123->0321,c2:0123->1230,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->210] [c1->c1,c2->c2,c3->c3,c1:0123->1230,c2:0123->2103,c3:012->210] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->3210,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->2103,c3:012->120] BUCKET 5 START------------------------------- system 13 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,10}{3,6,4,9}{1,7,8} {0,7,2,9}{1,5,8,6}{3,4,10} {1,3,8,4}{5,9,7,10}{0,2,6} ----------------------------------- system 12 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,10}{1,6,8,7}{3,4,9} {0,7,2,9}{3,6,4,10}{1,5,8} {1,3,8,4}{5,9,7,10}{0,2,6} ----------------------------------- system 11 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,9}{3,6,4,10}{1,7,8} {0,7,2,10}{1,5,8,6}{3,4,9} {1,3,8,4}{5,9,7,10}{0,2,6} ----------------------------------- system 10 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,9}{1,6,8,7}{3,4,10} {0,7,2,10}{3,6,4,9}{1,5,8} {1,3,8,4}{5,9,7,10}{0,2,6} ----------------------------------- BUCKET 5 END --------------------------------- BUCKET 4 START------------------------------- system 9 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,3,8,4}{5,9,7,10}{0,2,6} ----------------------------------- BUCKET 4 END --------------------------------- BUCKET 3 START------------------------------- system 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,6,2,7}{3,9,5,10}{1,4,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,3,8,6}{4,9,7,10}{0,2,5} ----------------------------------- system 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,10}{5,8,7,9}{1,3,4} {1,5,10,7}{3,6,4,8}{0,2,9} ----------------------------------- system 6 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,9}{5,8,7,10}{1,3,4} {1,5,9,7}{3,6,4,8}{0,2,10} ----------------------------------- system 3 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,6}{3,9,7,10}{1,4,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,3,8,6}{4,9,5,10}{0,2,7} ----------------------------------- BUCKET 3 END --------------------------------- BUCKET 2 START------------------------------- system 14 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,8,7}{2,9,3,10}{1,4,6} {0,9,4,10}{1,5,2,7}{3,6,8} {1,3,4,8}{5,9,7,10}{0,2,6} ----------------------------------- system 2 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,1,7}{2,9,4,10}{3,6,8} {0,9,3,10}{2,5,8,7}{1,4,6} {1,3,4,8}{5,9,7,10}{0,2,6} ----------------------------------- BUCKET 2 END --------------------------------- BUCKET 1 START------------------------------- system 17 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,6,2,7}{4,9,5,10}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,8,6}{3,9,7,10}{0,2,5} ----------------------------------- system 15 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,3,10}{1,5,2,7}{4,6,8} {1,4,3,8}{5,9,7,10}{0,2,6} ----------------------------------- system 7 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,10}{1,5,9,7}{3,4,8} {1,3,6,4}{5,8,7,10}{0,2,9} ----------------------------------- system 5 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,7}{3,9,4,10}{1,6,8} {0,6,2,9}{1,5,10,7}{3,4,8} {1,3,6,4}{5,8,7,9}{0,2,10} ----------------------------------- system 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,2,6}{4,9,7,10}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,8,6}{3,9,5,10}{0,2,7} ----------------------------------- system 1 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,8}{1,9,6,10}{3,5,7} {0,5,1,7}{2,9,3,10}{4,6,8} {0,9,4,10}{2,5,8,7}{1,3,6} {1,4,3,8}{5,9,7,10}{0,2,6} ----------------------------------- BUCKET 1 END --------------------------------- start 11 partitioned into 5 buckets