start 14: contains 24 systems system 1 and system 2 are non-isomorphic isomorphic systems: system 2 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{4,9,7,10}{1,3,6} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,5}{2,9,6,10}{0,7,8} system 3 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{6,9,7,10}{1,3,4} {0,9,5,10}{1,7,3,8}{2,4,6} {1,5,3,6}{2,9,4,10}{0,7,8} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 5 4 7 8 9 10 r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2103,c3:012->012] [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->0123,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] isomorphic systems: system 3 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{6,9,7,10}{1,3,4} {0,9,5,10}{1,7,3,8}{2,4,6} {1,5,3,6}{2,9,4,10}{0,7,8} system 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{4,9,5,10}{1,3,6} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,7}{2,9,6,10}{0,5,8} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 7 4 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->2301,c3:012->012] [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->0123,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] system 4 and system 5 are non-isomorphic isomorphic systems: system 1 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{4,9,6,10}{1,3,7} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,6}{2,9,5,10}{0,7,8} system 5 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{4,9,6,10}{1,3,5} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,6}{2,9,7,10}{0,5,8} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 7 4 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->2301,c3:012->012] [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->2103,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] isomorphic systems: system 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{4,9,5,10}{1,3,6} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,7}{2,9,6,10}{0,5,8} system 6 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{5,9,6,10}{1,3,4} {0,9,7,10}{1,5,3,8}{2,4,6} {1,6,3,7}{2,9,4,10}{0,5,8} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 5 4 7 8 9 10 r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2103,c3:012->012] [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->021] [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} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{5,9,6,10}{1,3,4} {0,9,7,10}{1,5,3,8}{2,4,6} {1,6,3,7}{2,9,4,10}{0,5,8} system 7 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,9,5}{1,7,3,8}{4,6,10} {0,8,7,10}{2,4,9,6}{1,3,5} {1,4,3,6}{2,8,5,10}{0,7,9} 0 1 2 3 4 5 6 7 8 9 10 8 1 7 3 5 9 2 0 10 4 6 r0->r2 r1->r4 r2->r3 r3->r1 r4->r0 [c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->3210,c3:012->201] [c1->c2,c2->c1,c3->c3,c1:0123->1230,c2:0123->0123,c3:012->120] [c1->c1,c2->c2,c3->c3,c1:0123->1230,c2:0123->2103,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->210] [c1->c1,c2->c2,c3->c3,c1:0123->1230,c2:0123->3012,c3:012->012] isomorphic systems: system 7 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,9,5}{1,7,3,8}{4,6,10} {0,8,7,10}{2,4,9,6}{1,3,5} {1,4,3,6}{2,8,5,10}{0,7,9} system 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,9,7}{1,5,3,8}{4,6,10} {0,8,5,10}{2,4,9,6}{1,3,7} {1,4,3,6}{2,8,7,10}{0,5,9} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 7 4 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->2301,c3:012->012] [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->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->0321,c2:0123->0123,c3:012->012] isomorphic systems: system 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,9,7}{1,5,3,8}{4,6,10} {0,8,5,10}{2,4,9,6}{1,3,7} {1,4,3,6}{2,8,7,10}{0,5,9} system 9 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,10,5}{1,7,3,8}{4,6,9} {0,8,7,9}{2,4,10,6}{1,3,5} {1,4,3,6}{2,8,5,9}{0,7,10} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 7 4 5 8 10 9 r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2301,c3:012->021] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0321,c3:012->021] [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->0321,c2:0123->0123,c3:012->012] isomorphic systems: system 9 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,10,5}{1,7,3,8}{4,6,9} {0,8,7,9}{2,4,10,6}{1,3,5} {1,4,3,6}{2,8,5,9}{0,7,10} system 10 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,10,7}{1,5,3,8}{4,6,9} {0,8,5,9}{2,4,10,6}{1,3,7} {1,4,3,6}{2,8,7,9}{0,5,10} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 7 4 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->2301,c3:012->012] [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->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->0321,c2:0123->0123,c3:012->012] system 10 and system 11 are non-isomorphic system 5 and system 11 are non-isomorphic isomorphic systems: system 11 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,5}{6,9,7,10}{0,2,8} system 12 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,7}{5,9,6,10}{0,2,8} 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->0123,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} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,7}{5,9,6,10}{0,2,8} system 13 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,6,10}{1,3,4} {0,9,5,10}{1,7,3,8}{2,4,6} {1,5,3,6}{4,9,7,10}{0,2,8} 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 6 7 4 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->2301,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->0321,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->0123,c3:012->021] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->2103,c3:012->012] isomorphic systems: system 13 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,6,10}{1,3,4} {0,9,5,10}{1,7,3,8}{2,4,6} {1,5,3,6}{4,9,7,10}{0,2,8} system 14 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,6,10}{1,3,4} {0,9,7,10}{1,5,3,8}{2,4,6} {1,6,3,7}{4,9,5,10}{0,2,8} 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->0123,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->012] system 14 and system 15 are non-isomorphic isomorphic systems: system 10 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,10,7}{1,5,3,8}{4,6,9} {0,8,5,9}{2,4,10,6}{1,3,7} {1,4,3,6}{2,8,7,9}{0,5,10} system 15 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,9}{1,5,10,7}{3,4,6} {1,4,9,6}{3,5,8,7}{0,2,10} 0 1 2 3 4 5 6 7 8 9 10 9 7 0 5 4 10 6 2 1 3 8 r0->r2 r1->r4 r2->r3 r3->r1 r4->r0 [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->3012,c3:012->021] [c1->c1,c2->c2,c3->c3,c1:0123->3012,c2:0123->3210,c3:012->120] [c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->210] [c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->0123,c3:012->120] system 14 and system 16 are non-isomorphic isomorphic systems: system 15 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,9}{1,5,10,7}{3,4,6} {1,4,9,6}{3,5,8,7}{0,2,10} system 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,9}{3,5,10,7}{1,4,6} {1,5,8,7}{3,4,9,6}{0,2,10} 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->102] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] system 14 and system 17 are non-isomorphic system 16 and system 17 are non-isomorphic isomorphic systems: system 5 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{4,9,6,10}{1,3,5} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,6}{2,9,7,10}{0,5,8} system 17 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,10}{1,5,3,7}{4,6,9} {1,4,3,6}{5,8,7,10}{0,2,9} 0 1 2 3 4 5 6 7 8 9 10 0 4 8 6 1 9 3 10 2 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->0123,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->1230,c3:012->201] [c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->1032,c3:012->021] isomorphic systems: system 14 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,6,10}{1,3,4} {0,9,7,10}{1,5,3,8}{2,4,6} {1,6,3,7}{4,9,5,10}{0,2,8} system 18 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,9,6}{3,5,10,7}{0,2,8} 0 1 2 3 4 5 6 7 8 9 10 0 4 8 6 3 10 1 9 2 5 7 r0->r1 r1->r0 r2->r3 r3->r2 r4->r4 [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2301,c3:012->012] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->021] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->2103,c3:012->120] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->1230,c3:012->210] [c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->021] isomorphic systems: system 18 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,9,6}{3,5,10,7}{0,2,8} system 19 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,9,2,10}{3,5,8,7}{1,4,6} {1,5,10,7}{3,4,9,6}{0,2,8} 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->102] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] system 19 and system 20 are non-isomorphic system 16 and system 20 are non-isomorphic isomorphic systems: system 17 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,10}{1,5,3,7}{4,6,9} {1,4,3,6}{5,8,7,10}{0,2,9} system 20 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,9}{1,5,3,7}{4,6,10} {1,4,3,6}{5,8,7,9}{0,2,10} 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 19 and system 21 are non-isomorphic isomorphic systems: system 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,9}{3,5,10,7}{1,4,6} {1,5,8,7}{3,4,9,6}{0,2,10} system 21 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,10}{1,5,9,7}{3,4,6} {1,4,10,6}{3,5,8,7}{0,2,9} 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->102] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] system 19 and system 22 are non-isomorphic isomorphic systems: system 21 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,10}{1,5,9,7}{3,4,6} {1,4,10,6}{3,5,8,7}{0,2,9} system 22 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,10}{3,5,9,7}{1,4,6} {1,5,8,7}{3,4,10,6}{0,2,9} 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->102] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] isomorphic systems: system 19 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,9,2,10}{3,5,8,7}{1,4,6} {1,5,10,7}{3,4,9,6}{0,2,8} system 23 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,10,6}{3,5,9,7}{0,2,8} 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->102] [c1->c1,c2->c2,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] isomorphic systems: system 23 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,10,6}{3,5,9,7}{0,2,8} system 24 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,9,2,10}{3,5,8,7}{1,4,6} {1,5,9,7}{3,4,10,6}{0,2,8} 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->102] [c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] [c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012] BUCKET 3 START------------------------------- system 24 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,9,2,10}{3,5,8,7}{1,4,6} {1,5,9,7}{3,4,10,6}{0,2,8} ----------------------------------- system 23 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,10,6}{3,5,9,7}{0,2,8} ----------------------------------- system 19 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,9,2,10}{3,5,8,7}{1,4,6} {1,5,10,7}{3,4,9,6}{0,2,8} ----------------------------------- system 18 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,9,2,10}{1,5,8,7}{3,4,6} {1,4,9,6}{3,5,10,7}{0,2,8} ----------------------------------- system 14 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,6,10}{1,3,4} {0,9,7,10}{1,5,3,8}{2,4,6} {1,6,3,7}{4,9,5,10}{0,2,8} ----------------------------------- system 13 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,6,10}{1,3,4} {0,9,5,10}{1,7,3,8}{2,4,6} {1,5,3,6}{4,9,7,10}{0,2,8} ----------------------------------- system 12 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,7}{5,9,6,10}{0,2,8} ----------------------------------- system 11 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,8,7}{2,9,4,10}{1,3,6} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,5}{6,9,7,10}{0,2,8} ----------------------------------- BUCKET 3 END --------------------------------- BUCKET 2 START------------------------------- system 22 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,10}{3,5,9,7}{1,4,6} {1,5,8,7}{3,4,10,6}{0,2,9} ----------------------------------- system 21 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,10}{1,5,9,7}{3,4,6} {1,4,10,6}{3,5,8,7}{0,2,9} ----------------------------------- system 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,9}{3,5,10,7}{1,4,6} {1,5,8,7}{3,4,9,6}{0,2,10} ----------------------------------- system 15 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,9}{1,5,10,7}{3,4,6} {1,4,9,6}{3,5,8,7}{0,2,10} ----------------------------------- system 10 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,10,7}{1,5,3,8}{4,6,9} {0,8,5,9}{2,4,10,6}{1,3,7} {1,4,3,6}{2,8,7,9}{0,5,10} ----------------------------------- system 9 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,10,5}{1,7,3,8}{4,6,9} {0,8,7,9}{2,4,10,6}{1,3,5} {1,4,3,6}{2,8,5,9}{0,7,10} ----------------------------------- system 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,9,7}{1,5,3,8}{4,6,10} {0,8,5,10}{2,4,9,6}{1,3,7} {1,4,3,6}{2,8,7,10}{0,5,9} ----------------------------------- system 7 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,9,5}{1,7,3,8}{4,6,10} {0,8,7,10}{2,4,9,6}{1,3,5} {1,4,3,6}{2,8,5,10}{0,7,9} ----------------------------------- system 6 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{5,9,6,10}{1,3,4} {0,9,7,10}{1,5,3,8}{2,4,6} {1,6,3,7}{2,9,4,10}{0,5,8} ----------------------------------- system 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{4,9,5,10}{1,3,6} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,7}{2,9,6,10}{0,5,8} ----------------------------------- system 3 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{6,9,7,10}{1,3,4} {0,9,5,10}{1,7,3,8}{2,4,6} {1,5,3,6}{2,9,4,10}{0,7,8} ----------------------------------- system 2 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{4,9,7,10}{1,3,6} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,5}{2,9,6,10}{0,7,8} ----------------------------------- BUCKET 2 END --------------------------------- BUCKET 1 START------------------------------- system 20 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,10,7}{2,4,9,6}{1,3,8} {0,8,2,9}{1,5,3,7}{4,6,10} {1,4,3,6}{5,8,7,9}{0,2,10} ----------------------------------- system 17 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,5,9,7}{2,4,10,6}{1,3,8} {0,8,2,10}{1,5,3,7}{4,6,9} {1,4,3,6}{5,8,7,10}{0,2,9} ----------------------------------- system 5 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,7}{4,9,6,10}{1,3,5} {0,9,5,10}{1,7,3,8}{2,4,6} {1,4,3,6}{2,9,7,10}{0,5,8} ----------------------------------- system 1 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,8,6}{1,9,3,10}{2,5,7} {0,2,8,5}{4,9,6,10}{1,3,7} {0,9,7,10}{1,5,3,8}{2,4,6} {1,4,3,6}{2,9,5,10}{0,7,8} ----------------------------------- BUCKET 1 END --------------------------------- start 14 partitioned into 3 buckets