dev:=function(g,bb) return Union(List(bb,x->Orbit(g,x,OnSets))); end; g1:=Group((1,2,3,4,5,6,7,8,9,10,11)(12,13,14,15,16,17,18,19,20,21,22)(23,24,25,26,27,28,29,30,31,32,33)(34,35,36,37,38,39,40,41,42,43,44)(45,46,47,48,49,50,51,52,53,54,55), (2,27)(3,37)(4,29)(5,47)(6,53)(7,30)(8,38)(9,32)(11,43)(13,52)(15,48)(17,28)(18,42)(19,49)(20,51)(21,44)(22,31)(23,46)(24,50)(25,54)(26,33)(34,45)(36,39)(41,55)); bb4:=[[[1, 2, 5, 8, 10, 12, 23, 42, 45, 50]],[[1, 2, 3, 9, 18, 27,28, 33, 38, 43]],[[1, 2, 4, 5, 16, 18, 24,30, 51, 55],[1, 2, 6, 8, 24, 27,38, 40, 50, 53]]]; d4:=List(bb4,x->dev(g1,x)); bb8_58:=[[[1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48], [7, 11, 21, 22, 25, 31, 39, 42, 46, 55]], [[1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [2, 3, 4, 13, 15, 28, 35, 36, 38, 46], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 5, 7, 15, 16, 17, 27, 33, 35, 40], [5, 9, 10, 11, 15, 17, 34, 41, 42, 52]], [[1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [2, 4, 14, 15, 16, 20, 22, 24, 33, 40], [4, 8, 12, 13, 24, 30, 34, 37, 51, 53], [6, 8, 13, 18, 24, 27, 37, 41, 51, 52]], [[1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 2, 7, 21, 25, 37, 38, 40, 46, 50], [1, 4, 5, 7, 17, 20, 26, 27, 35, 48], [5, 8, 15, 19, 20, 31, 34, 43, 50, 52], [6, 8, 13, 18, 24, 27, 37, 41, 51, 52]], [[1, 2, 5, 7, 10, 14, 17, 26, 35, 48], [1, 7, 14, 21, 29, 31, 39, 40, 46, 49], [4, 11, 12, 22, 25, 30, 34, 42, 53, 55], [7, 8, 13, 21, 24, 31, 37, 39, 46, 51]], [[1, 2, 4, 5, 7, 14, 17, 20, 27, 35], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [2, 6, 10, 14, 26, 27, 39, 46, 48, 52], [2, 6, 11, 14, 39, 42, 46, 49, 52, 54], [3, 10, 19, 20, 26, 32, 36, 44, 48, 50]], [[1, 2, 4, 5, 14, 17, 20, 26, 35, 48], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [2, 3, 4, 13, 15, 19, 20, 31, 35, 36], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54]], [[1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 14, 17, 29, 33, 38, 40, 49, 54], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [1, 14, 15, 16, 19, 20, 23, 24, 31, 55], [2, 9, 10, 13, 15, 33, 36, 39, 42, 45], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53]], [[1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 14, 17, 29, 33, 38, 40, 49, 54], [1, 4, 5, 7, 10, 17, 20, 28, 35, 47], [2, 4, 6, 12, 14, 20, 30, 39, 46, 52]], [[1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 14, 17, 29, 33, 38, 40, 49, 54], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [2, 7, 11, 14, 26, 27, 42, 48, 49, 54], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48], [4, 10, 12, 19, 30, 32, 34, 44, 50, 53]], [[1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 5, 7, 10, 14, 17, 26, 35, 48], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 7, 11, 14, 26, 27, 42, 48, 49, 54], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48]], [[1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 14, 17, 20, 28, 35, 47], [1, 5, 15, 16, 17, 22, 24, 33, 35, 40], [4, 13, 18, 19, 20, 23, 32, 37, 41, 45]], [[1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [2, 4, 6, 14, 20, 26, 39, 46, 48, 52], [3, 10, 19, 20, 26, 32, 36, 44, 48, 50], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 14, 15, 16, 19, 20, 23, 24, 31, 55], [2, 7, 10, 11, 14, 26, 42, 48, 49, 54], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [7, 8, 13, 21, 24, 31, 37, 39, 46, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 13, 18, 19, 20, 23, 32, 37, 41, 45], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51], [7, 8, 13, 21, 24, 31, 37, 39, 46, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 8, 14, 15, 16, 43, 44, 49, 50, 53], [3, 10, 19, 20, 26, 32, 36, 44, 48, 50], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 2, 7, 21, 25, 37, 38, 40, 46, 50], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 14, 15, 16, 19, 20, 23, 24, 31, 55], [2, 4, 7, 11, 14, 20, 27, 42, 49, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 5, 7, 10, 14, 17, 28, 35, 47], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 4, 5, 14, 17, 20, 22, 24, 35], [2, 7, 11, 14, 26, 27, 42, 48, 49, 54], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 8, 12, 13, 24, 30, 34, 37, 51, 53]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 5, 7, 10, 14, 17, 22, 24, 35], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 5, 14, 15, 23, 29, 40, 43, 47, 49], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48], [3, 10, 19, 20, 26, 32, 36, 44, 48, 50]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [2, 4, 6, 12, 14, 20, 30, 39, 46, 52], [2, 4, 11, 14, 20, 26, 42, 48, 49, 54], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 3, 5, 7, 10, 17, 34, 35, 36, 53], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 4, 14, 20, 21, 26, 31, 44, 48, 50], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [7, 8, 13, 21, 24, 31, 37, 39, 46, 51], [8, 10, 13, 19, 24, 32, 37, 44, 50, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 5, 11, 14, 17, 35, 42, 49, 54], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [2, 4, 14, 20, 21, 26, 31, 44, 48, 50], [2, 6, 11, 14, 39, 42, 46, 49, 52, 54], [3, 10, 19, 20, 26, 32, 36, 44, 48, 50], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 8, 14, 15, 16, 43, 44, 49, 50, 53], [2, 7, 11, 14, 26, 27, 42, 48, 49, 54], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [7, 8, 13, 21, 24, 31, 37, 39, 46, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 8, 14, 15, 16, 43, 44, 49, 50, 53], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [3, 8, 13, 20, 24, 26, 36, 37, 48, 51], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 14, 17, 29, 33, 38, 40, 49, 54], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [2, 4, 7, 11, 14, 20, 27, 42, 49, 54], [2, 8, 11, 13, 15, 17, 36, 41, 43, 50], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 5, 17, 18, 19, 22, 24, 32, 35, 41], [1, 11, 14, 15, 16, 17, 41, 44, 49, 53], [1, 14, 15, 16, 19, 20, 23, 24, 31, 55], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 4, 7, 11, 14, 20, 27, 42, 49, 54], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [4, 8, 12, 13, 24, 30, 34, 37, 51, 53]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 5, 11, 17, 28, 35, 42, 47, 49, 54], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [2, 4, 7, 11, 14, 20, 27, 42, 49, 54], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 3, 5, 7, 10, 17, 34, 35, 36, 53], [1, 5, 11, 17, 28, 35, 42, 47, 49, 54], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [6, 8, 13, 18, 24, 27, 37, 41, 51, 52]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 8, 14, 15, 16, 23, 24, 43, 50, 55], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 11, 12, 20, 26, 33, 34, 43, 45, 51], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 3, 5, 7, 10, 17, 34, 35, 36, 53], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 8, 14, 15, 16, 23, 24, 43, 50, 55], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 4, 7, 11, 14, 20, 27, 42, 49, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 5, 7, 10, 14, 17, 26, 35, 48], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [2, 6, 11, 14, 39, 42, 46, 49, 52, 54], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [7, 10, 11, 13, 23, 37, 42, 45, 49, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 14, 17, 20, 28, 35, 47], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 4, 7, 11, 14, 20, 27, 42, 49, 54], [3, 7, 20, 21, 26, 31, 36, 39, 46, 48], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 14, 17, 20, 28, 35, 47], [1, 3, 5, 7, 10, 17, 34, 35, 36, 53], [1, 5, 11, 17, 28, 35, 42, 47, 49, 54], [1, 11, 17, 20, 23, 27, 42, 44, 45, 50], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [3, 8, 13, 20, 24, 26, 36, 37, 48, 51], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 14, 17, 20, 26, 35, 48], [1, 5, 7, 10, 11, 17, 35, 42, 49, 54], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 8, 14, 15, 16, 23, 24, 43, 50, 55], [2, 12, 14, 18, 19, 26, 30, 32, 41, 48], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 12, 14, 17, 20, 30, 35], [1, 5, 7, 11, 17, 27, 35, 42, 49, 54], [1, 8, 14, 15, 16, 23, 24, 43, 50, 55], [2, 6, 11, 14, 39, 42, 46, 49, 52, 54], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 7, 14, 17, 20, 27, 35], [1, 5, 7, 11, 17, 27, 35, 42, 49, 54], [1, 5, 14, 15, 23, 29, 40, 43, 47, 49], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47], [8, 10, 13, 19, 24, 32, 37, 44, 50, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 7, 14, 17, 20, 27, 35], [1, 3, 5, 7, 10, 17, 34, 35, 36, 53], [1, 5, 7, 11, 17, 27, 35, 42, 49, 54], [1, 8, 14, 15, 16, 23, 24, 43, 50, 55], [2, 6, 11, 14, 39, 42, 46, 49, 52, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [4, 7, 12, 21, 30, 31, 34, 39, 46, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47], [8, 10, 13, 19, 24, 32, 37, 44, 50, 51]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 7, 14, 17, 20, 27, 35], [1, 2, 5, 11, 14, 17, 35, 42, 49, 54], [1, 5, 11, 17, 28, 35, 42, 47, 49, 54], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54], [4, 6, 12, 18, 27, 30, 34, 41, 52, 53], [5, 9, 15, 16, 23, 28, 35, 43, 45, 47], [6, 7, 10, 11, 39, 42, 46, 49, 52, 54]], [[1, 2, 3, 4, 13, 14, 15, 16, 35, 36], [1, 2, 3, 5, 14, 17, 34, 35, 36, 53], [1, 2, 4, 5, 7, 10, 14, 17, 20, 35], [1, 2, 4, 5, 7, 14, 17, 20, 27, 35], [1, 2, 5, 11, 14, 17, 35, 42, 49, 54], [1, 5, 8, 17, 22, 24, 29, 35, 38, 51], [2, 6, 11, 14, 39, 42, 46, 49, 52, 54], [2, 6, 12, 14, 22, 24, 30, 39, 46, 52], [3, 4, 9, 10, 15, 33, 35, 39, 42, 45], [4, 6, 11, 20, 39, 42, 46, 49, 52, 54]], [[1, 2, 5, 14, 17, 21, 31, 35, 44, 50], [1, 3, 4, 14, 15, 16, 21, 22, 30, 35], [1, 3, 14, 20, 26, 29, 36, 40, 48, 49], [1, 5, 7, 10, 12, 17, 28, 30, 35, 47], [1, 5, 10, 12, 17, 27, 28, 30, 35, 47], [1, 11, 14, 22, 25, 29, 40, 42, 49, 55], [1, 14, 15, 16, 21, 22, 28, 30, 38, 46], [3, 7, 10, 11, 34, 36, 42, 49, 53, 54], [4, 18, 19, 20, 21, 31, 32, 41, 44, 50], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51], [5, 11, 15, 22, 23, 25, 42, 43, 47, 55]], [[1, 3, 4, 14, 15, 16, 35, 44, 49, 53], [1, 4, 12, 14, 29, 30, 34, 40, 49, 53], [1, 5, 8, 14, 15, 16, 34, 43, 50, 52], [1, 5, 14, 15, 16, 21, 22, 30, 34, 52], [1, 6, 7, 14, 15, 16, 33, 39, 45, 51], [1, 8, 14, 15, 16, 19, 20, 31, 43, 50], [1, 11, 14, 22, 25, 29, 40, 42, 49, 55], [3, 4, 5, 15, 33, 34, 35, 39, 45, 52], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 5, 7, 12, 14, 17, 27, 30, 35], [1, 2, 5, 14, 17, 21, 31, 35, 44, 50], [1, 3, 14, 20, 26, 29, 36, 40, 48, 49], [1, 5, 10, 12, 17, 27, 28, 30, 35, 47], [1, 5, 14, 15, 16, 21, 22, 30, 34, 52], [1, 14, 15, 16, 21, 22, 28, 30, 38, 46], [3, 4, 6, 7, 9, 10, 15, 35, 42, 51], [3, 7, 10, 11, 34, 36, 42, 49, 53, 54], [4, 18, 19, 20, 21, 31, 32, 41, 44, 50], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 5, 7, 10, 14, 17, 22, 24, 35], [1, 2, 5, 7, 12, 14, 17, 27, 30, 35], [1, 5, 7, 17, 22, 24, 26, 27, 35, 48], [1, 5, 8, 14, 15, 16, 34, 43, 50, 52], [1, 5, 14, 15, 16, 21, 22, 30, 34, 52], [1, 6, 7, 14, 15, 16, 33, 39, 45, 51], [1, 8, 14, 15, 16, 19, 20, 31, 43, 50], [3, 4, 6, 7, 15, 18, 32, 35, 40, 51], [3, 6, 7, 10, 34, 36, 39, 46, 52, 53], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 5, 7, 10, 14, 17, 28, 35, 47], [1, 2, 5, 7, 14, 17, 22, 24, 27, 35], [1, 2, 5, 10, 14, 17, 27, 28, 35, 47], [1, 2, 5, 12, 14, 17, 22, 24, 30, 35], [1, 2, 5, 14, 17, 26, 28, 35, 47, 48], [1, 2, 6, 7, 13, 14, 15, 16, 36, 51], [1, 2, 8, 13, 14, 15, 16, 36, 43, 50], [1, 3, 5, 7, 10, 17, 34, 35, 36, 53], [1, 3, 5, 7, 17, 27, 34, 35, 36, 53], [1, 3, 5, 10, 17, 27, 34, 35, 36, 53], [1, 4, 5, 10, 17, 20, 27, 28, 35, 47]], [[1, 3, 4, 14, 15, 16, 35, 44, 49, 53], [1, 4, 12, 14, 29, 30, 34, 40, 49, 53], [1, 5, 8, 14, 15, 16, 34, 43, 50, 52], [1, 5, 14, 15, 16, 21, 22, 30, 34, 52], [1, 6, 7, 14, 15, 16, 33, 39, 45, 51], [1, 8, 14, 15, 16, 19, 20, 31, 43, 50], [1, 11, 14, 22, 25, 29, 40, 42, 49, 55], [3, 4, 5, 15, 33, 34, 35, 39, 45, 52], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51], [5, 11, 15, 22, 23, 25, 42, 43, 47, 55]], [[1, 2, 5, 7, 12, 14, 17, 27, 30, 35], [1, 2, 5, 14, 17, 21, 31, 35, 44, 50], [1, 3, 14, 20, 26, 29, 36, 40, 48, 49], [1, 4, 5, 8, 17, 20, 29, 35, 38, 51], [1, 5, 7, 17, 22, 24, 26, 27, 35, 48], [1, 5, 14, 15, 16, 21, 22, 30, 34, 52], [1, 14, 15, 16, 21, 22, 28, 30, 38, 46], [3, 4, 6, 7, 9, 10, 15, 35, 42, 51], [3, 5, 15, 20, 23, 26, 36, 43, 47, 48], [3, 7, 10, 11, 34, 36, 42, 49, 53, 54], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]], [[1, 2, 5, 7, 12, 14, 17, 27, 30, 35], [1, 3, 14, 20, 26, 29, 36, 40, 48, 49], [1, 4, 5, 7, 10, 12, 17, 20, 30, 35], [1, 5, 8, 14, 15, 16, 34, 43, 50, 52], [1, 5, 10, 12, 17, 27, 28, 30, 35, 47], [1, 5, 14, 15, 16, 21, 22, 30, 34, 52], [1, 6, 7, 14, 15, 16, 33, 39, 45, 51], [1, 8, 14, 15, 16, 19, 20, 31, 43, 50], [3, 4, 6, 7, 15, 18, 32, 35, 40, 51], [3, 6, 7, 10, 34, 36, 39, 46, 52, 53], [5, 8, 13, 15, 23, 24, 37, 43, 47, 51]]]; d8_58:=List(bb8_58,x->dev(g1,x)); g2:=Group((1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55), (2,15,32,50,27,35,37,10,17,5)(3,29,8,44,53,14,18,19,33,9)(4,43,39,38,24,48,54,28,49,13)(6,16,46,26,21)(7,30,22,20,47,40,52,55,42,25)(11,31,36,51,41)(12,45)(23,34)); bb5:=[[1, 2, 3, 4, 9, 17, 21, 30, 33, 40], [1, 2, 12, 17, 23, 27, 32, 34, 37, 45]]; d5:=dev(g2,bb5); g3:=Group((1,2,3,4,5,6,7,8,9,10,11)(12,13,14,15,16,17,18,19,20,21,22)(23,24,25,26,27,28,29,30,31,32,33)(34,35,36,37,38,39,40,41,42,43,44)(45,46,47,48,49,50,51,52,53,54,55), (3,23)(4,20)(5,10)(6,45)(7,34)(8,33)(11,12)(13,26)(14,15)(16,53)(17,43)(18,28)(19,52)(21,49)(22,47)(24,46)(25,32)(27,51)(29,42)(31,41)(36,39)(38,48)(40,54)(44,50)); bb59_479:=[[[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55]], [[1, 2, 4, 7, 8, 12, 38, 40, 41, 51], [1, 4, 5, 7, 11, 12, 25, 38, 41, 51]], [[1, 2, 4, 7, 8, 12, 38, 40, 41, 51], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 4, 5, 7, 11, 12, 25, 38, 41, 51], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 4, 9, 18, 25, 27, 28, 32, 55]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 5, 8, 11, 25, 40, 41, 51]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 4, 5, 7, 11, 12, 25, 38, 41, 51], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 4, 7, 8, 12, 38, 40, 41, 51], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 11, 12, 21, 30, 35, 37, 49], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [2, 3, 4, 9, 18, 25, 27, 28, 32, 55], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 5, 8, 11, 25, 40, 41, 51], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [2, 3, 4, 16, 24, 34, 35, 36, 43, 47], [2, 3, 6, 9, 18, 29, 32, 48, 50, 55]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 5, 12, 27, 34, 35, 41, 49, 52], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 5, 8, 11, 25, 40, 41, 51], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 11, 12, 21, 30, 35, 37, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 2, 4, 7, 8, 12, 38, 40, 41, 51], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 11, 12, 21, 30, 35, 37, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 11, 12, 21, 30, 35, 37, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 5, 12, 27, 34, 35, 41, 49, 52], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [2, 3, 4, 9, 18, 25, 27, 28, 32, 55], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 18, 21, 23, 32, 35, 49], [2, 3, 4, 16, 24, 34, 35, 36, 43, 47]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 5, 8, 11, 25, 40, 41, 51], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 7, 8, 12, 38, 40, 41, 51], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [1, 7, 14, 20, 22, 24, 34, 35, 39, 49], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 5, 8, 11, 25, 40, 41, 51], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 3, 9, 21, 25, 28, 35, 49, 55], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 11, 12, 21, 30, 35, 37, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 18, 21, 23, 32, 35, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 11, 12, 21, 30, 35, 37, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 9, 18, 21, 23, 32, 35, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 4, 16, 24, 34, 35, 36, 43, 47]], [[1, 2, 3, 4, 9, 21, 27, 35, 49, 55], [2, 3, 4, 6, 8, 10, 17, 24, 36, 40]], [[1, 2, 3, 9, 18, 21, 23, 32, 35, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 4, 9, 21, 27, 35, 49, 55], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 9, 20, 38, 42, 44, 45, 51, 55], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 4, 5, 8, 11, 25, 40, 41, 51], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 2, 16, 20, 21, 27, 34, 35, 43, 54], [1, 3, 4, 20, 21, 24, 27, 36, 47, 54], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36]], [[1, 2, 3, 4, 8, 10, 24, 40, 41, 51], [1, 9, 15, 16, 18, 27, 35, 41, 47, 49]], [[1, 2, 3, 9, 21, 23, 31, 35, 41, 49], [1, 2, 9, 18, 21, 25, 28, 32, 35, 49], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [1, 11, 17, 20, 21, 27, 28, 42, 48, 50], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 4, 16, 24, 34, 35, 36, 43, 47], [2, 11, 23, 24, 29, 32, 33, 38, 40, 55]], [[1, 2, 3, 4, 9, 21, 27, 35, 49, 55], [1, 4, 20, 21, 27, 31, 35, 41, 49, 51], [2, 3, 4, 9, 10, 14, 23, 24, 27, 36], [2, 3, 16, 24, 34, 35, 36, 43, 47, 54], [2, 11, 23, 24, 29, 32, 33, 38, 40, 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