/* Defining polynomial */ x^2 + 77 /* Minimal vectors */ [ <8*w + 25, -w - 74>, <-3*w + 26, 4*w + 12>, <4*w + 37, 2*w - 48>, <-5*w + 37, 6*w + 23>, <5*w + 51, 3*w - 62>, <-5*w + 3, 2*w + 40>, <3*w + 19, w - 31>, <-2*w + 22, 3*w + 9>, <2*w + 25, 2*w - 25>, <1, 0>, , <-w + 7, w + 5>, <10, w - 3>, , <20, 2*w - 7>, <2*w + 7, -18>, <-3*w + 9, 2*w + 20>, <10, w - 4>, <30, 3*w - 11>, <-3*w + 6, 2*w + 20>, <-2*w + 11, 2*w + 10>, <6*w + 18, -w - 54>, <3*w + 24, w - 34>, <-4*w + 42, 6*w + 11>, <7*w + 8, -2*w - 58>, <-4*w + 53, 7*w + 10>, <3*w + 61, 5*w - 48>, <32*w + 215, 9*w - 337>, <-3*w + 352, 37*w - 118>, , <-2*w + 1, w + 15>, <5*w + 3, -2*w - 40>, <3*w + 4, -w - 25>, <50, 5*w - 23>, <4*w + 8, -w - 35>, <-3*w + 16, 3*w + 16>, <-w + 35, 4*w - 8>, <3*w + 43, 3*w - 43>, <-2*w + 2, w + 16>, , <18, 2*w - 7>, <-2*w + 20, 3*w + 9>, <9, w - 4>, <3*w + 11, -30>, , <-w + 5, w + 7>, <0, 1>, , , <2*w + 3, -18>, <9, w - 1>, <18, 2*w - 3>, , <2*w + 5, -18>, <-w + 7, w + 6>, <-w + 6, w + 6>, <-5*w + 12, 3*w + 37>, , <-3*w + 37, 5*w + 12>, <9, w - 3>, <-3*w + 9, 2*w + 22>, <-w + 16, 2*w + 2>, <28, 3*w - 11>, <-2*w + 2, w + 15>, <-3*w + 18, 3*w + 17>, <3*w + 21, w - 32>, , <29, 3*w - 11>, , <3*w + 11, -28>, <-2*w + 12, 2*w + 11>, <-w + 35, 4*w - 5>, <-2*w + 1, w + 14>, , <-w + 16, 2*w>, <4*w + 19, -38>, , <21, 2*w - 10>, <11, w - 4>, , <-w + 7, w + 4>, <12, w - 5>, <11, w - 5>, <3*w + 14, -27>, <-w + 17, 2*w>, <-w + 6, w + 5>, <-2*w + 12, 2*w + 9>, <21, 2*w - 9>, <3*w + 13, -27>, , <2*w + 8, -19>, <-6*w + 45, 7*w + 29>, <-7*w + 2, 3*w + 54>, <7*w + 18, -w - 62>, <-2*w + 61, 7*w - 9>, <-4*w + 12, 3*w + 26>, <3*w + 23, w - 34>, <-5*w + 27, 5*w + 27>, , <2*w + 29, 2*w - 29>, <-w + 15, 2*w + 1>, <-w + 5, w + 6>, <-2*w + 10, 2*w + 11>, <19, 2*w - 9>, <-4*w + 1, 2*w + 31>, <10, w - 5>, <-w + 15, 2*w + 3>, <-2*w + 4, w + 16>, , <-2*w + 3, w + 15>, <3*w + 11, -29>, <-w + 15, 2*w + 2>, <2*w + 17, w - 23>, <3*w + 2, -w - 25>, <-w + 25, 3*w - 2>, <2*w + 9, -19>, <-3*w + 17, 3*w + 17>, <2*w + 27, 2*w - 27>, <-w + 25, 3*w - 4>, <3*w + 12, -29>, <19, 2*w - 8>, <29, 3*w - 12>, <-3*w + 7, 2*w + 21>, <-2*w + 21, 3*w + 7>, <1, -1>, <-w + 5, w + 5> ] /* Voronoi top cells */ [ { 1, 2, 3, 4, 5 }, { 6, 7, 8, 9 }, { 10, 11, 12, 13 }, { 12, 13, 14, 15 }, { 16, 17, 18, 19 }, { 20, 21, 22, 23, 24 }, { 25, 26, 27, 28, 29 }, { 1, 2, 4, 30 }, { 31, 32, 33, 34 }, { 35, 36, 37, 38 }, { 39, 40, 41, 42 }, { 40, 41, 43, 44 }, { 43, 45, 46, 47 }, { 48, 49, 50, 51, 52 }, { 49, 53, 54, 55 }, { 7, 8, 9, 53 }, { 7, 9, 56, 57 }, { 9, 56, 58, 59 }, { 9, 58, 60, 61 }, { 16, 17, 18, 62 }, { 39, 40, 56, 63 }, { 64, 65, 66, 67, 68 }, { 56, 67, 68, 69 }, { 18, 64, 70, 71 }, { 64, 65, 68, 70 }, { 18, 56, 62, 70 }, { 56, 68, 70, 72 }, { 73, 74, 75, 76 }, { 73, 75, 77, 78 }, { 10, 12, 14, 79 }, { 10, 80, 81, 82 }, { 80, 83, 84, 85 }, { 83, 85, 86, 87, 88 }, { 14, 85, 86, 89 }, { 10, 13, 53, 55, 90 }, { 10, 12, 13, 14 }, { 14, 16, 18, 19 }, { 20, 21, 23, 77 }, { 21, 74, 75, 77 }, { 26, 64, 91, 92 }, { 25, 26, 27, 64 }, { 18, 25, 64, 93 }, { 18, 25, 26, 91, 94, 95 }, { 1, 2, 30, 96 }, { 35, 37, 97, 98, 99 }, { 31, 32, 33, 36, 100 }, { 31, 35, 36, 37, 101 }, { 101, 102, 103, 104 }, { 101, 103, 105, 106 }, { 39, 40, 41, 56 }, { 41, 56, 60, 107 }, { 40, 41, 43, 60 }, { 43, 45, 47, 60 }, { 10, 47, 48, 49, 51 }, { 10, 49, 53, 55, 90 }, { 49, 53, 54, 60, 108, 109 }, { 7, 9, 53, 56 }, { 9, 56, 58, 60 }, { 16, 53, 56, 110 }, { 16, 18, 56, 62 }, { 40, 56, 63, 111 }, { 40, 63, 111, 112 }, { 56, 67, 69, 113 }, { 64, 67, 112, 113, 114, 115 }, { 56, 111, 112, 113 }, { 56, 64, 67, 68 }, { 18, 64, 68, 70 }, { 18, 56, 68, 70 }, { 73, 74, 75, 77 }, { 73, 77, 78, 83 }, { 73, 74, 83, 86, 87, 88 }, { 10, 14, 79, 80, 81 }, { 14, 80, 83, 85, 86 }, { 10, 13, 14, 53 }, { 14, 16, 18, 53 }, { 21, 23, 31, 77 }, { 21, 31, 86, 116 }, { 21, 74, 77, 86 }, { 64, 112, 114, 115, 117, 118 }, { 18, 25, 26, 64, 91 }, { 2, 30, 96, 97, 99 }, { 31, 35, 37, 97, 99, 101 }, { 31, 33, 36, 100, 101, 119 }, { 23, 31, 33, 77 }, { 101, 102, 103, 106 }, { 40, 41, 56, 60 }, { 40, 43, 47, 60 }, { 10, 47, 49, 53, 60 }, { 9, 53, 56, 60 }, { 16, 18, 53, 56 }, { 40, 56, 111, 112 }, { 56, 64, 67, 112, 113 }, { 18, 56, 64, 68 }, { 73, 74, 77, 83, 86 }, { 10, 14, 80, 83, 86 }, { 10, 14, 18, 53 }, { 21, 31, 77, 86 }, { 18, 40, 64, 91, 112, 117, 120, 121, 122 }, { 30, 31, 97, 99, 101 }, { 31, 33, 77, 101, 106, 119 }, { 40, 101, 102, 106 }, { 40, 43, 47, 102 }, { 40, 47, 56, 60 }, { 10, 47, 53, 56, 60 }, { 10, 18, 53, 56 }, { 18, 40, 56, 64, 112 }, { 10, 77, 83, 86 }, { 10, 14, 18, 86 }, { 18, 31, 77, 86 }, { 18, 30, 31, 77 }, { 18, 30, 40, 91, 120, 121, 122, 123, 124 }, { 30, 40, 101, 106 }, { 30, 31, 77, 101, 106 }, { 40, 47, 102, 106 }, { 10, 18, 40, 47, 56 }, { 10, 18, 77, 86 }, { 18, 30, 40, 77, 106 }, { 10, 18, 40, 47, 77, 106 }, { 10, 47, 77, 106, 125, 126 } ] /* Faces of top cells */ [ [ { 2, 3, 4, 5 }, { 1, 2, 4 }, { 1, 2, 3 }, { 1, 3, 5 }, { 1, 4, 5 } ], [ { 7, 8, 9 }, { 6, 8, 9 }, { 6, 7, 9 }, { 6, 7, 8 } ], [ { 11, 12, 13 }, { 10, 12, 13 }, { 10, 11, 13 }, { 10, 11, 12 } ], [ { 12, 13, 15 }, { 13, 14, 15 }, { 12, 14, 15 }, { 12, 13, 14 } ], [ { 17, 18, 19 }, { 16, 18, 19 }, { 16, 17, 19 }, { 16, 17, 18 } ], [ { 20, 22, 23 }, { 20, 21, 23 }, { 20, 21, 22, 24 }, { 21, 23, 24 }, { 22, 23, 24 } ], [ { 26, 27, 28 }, { 25, 26, 28, 29 }, { 25, 26, 27 }, { 25, 27, 29 }, { 27, 28, 29 } ], [ { 1, 2, 4 }, { 2, 4, 30 }, { 1, 4, 30 }, { 1, 2, 30 } ], [ { 32, 33, 34 }, { 31, 33, 34 }, { 31, 32, 34 }, { 31, 32, 33 } ], [ { 36, 37, 38 }, { 35, 37, 38 }, { 35, 36, 38 }, { 35, 36, 37 } ], [ { 40, 41, 42 }, { 39, 41, 42 }, { 39, 40, 42 }, { 39, 40, 41 } ], [ { 41, 43, 44 }, { 40, 41, 44 }, { 40, 41, 43 }, { 40, 43, 44 } ], [ { 43, 46, 47 }, { 43, 45, 47 }, { 45, 46, 47 }, { 43, 45, 46 } ], [ { 48, 50, 51, 52 }, { 48, 49, 51 }, { 48, 49, 50 }, { 49, 50, 52 }, { 49, 51, 52 } ], [ { 53, 54, 55 }, { 49, 54, 55 }, { 49, 53, 55 }, { 49, 53, 54 } ], [ { 7, 8, 9 }, { 8, 9, 53 }, { 7, 9, 53 }, { 7, 8, 53 } ], [ { 7, 9, 57 }, { 7, 9, 56 }, { 9, 56, 57 }, { 7, 56, 57 } ], [ { 9, 58, 59 }, { 56, 58, 59 }, { 9, 56, 59 }, { 9, 56, 58 } ], [ { 9, 58, 61 }, { 9, 58, 60 }, { 58, 60, 61 }, { 9, 60, 61 } ], [ { 17, 18, 62 }, { 16, 18, 62 }, { 16, 17, 62 }, { 16, 17, 18 } ], [ { 40, 56, 63 }, { 39, 56, 63 }, { 39, 40, 63 }, { 39, 40, 56 } ], [ { 65, 66, 67, 68 }, { 64, 66, 67 }, { 64, 65, 66 }, { 64, 67, 68 }, { 64, 65, 68 } ], [ { 67, 68, 69 }, { 56, 67, 68 }, { 56, 68, 69 }, { 56, 67, 69 } ], [ { 18, 70, 71 }, { 64, 70, 71 }, { 18, 64, 71 }, { 18, 64, 70 } ], [ { 65, 68, 70 }, { 64, 65, 68 }, { 64, 68, 70 }, { 64, 65, 70 } ], [ { 18, 62, 70 }, { 56, 62, 70 }, { 18, 56, 62 }, { 18, 56, 70 } ], [ { 68, 70, 72 }, { 56, 68, 72 }, { 56, 70, 72 }, { 56, 68, 70 } ], [ { 74, 75, 76 }, { 73, 75, 76 }, { 73, 74, 76 }, { 73, 74, 75 } ], [ { 75, 77, 78 }, { 73, 75, 78 }, { 73, 77, 78 }, { 73, 75, 77 } ], [ { 12, 14, 79 }, { 10, 12, 79 }, { 10, 14, 79 }, { 10, 12, 14 } ], [ { 80, 81, 82 }, { 10, 81, 82 }, { 10, 80, 82 }, { 10, 80, 81 } ], [ { 83, 84, 85 }, { 80, 84, 85 }, { 80, 83, 85 }, { 80, 83, 84 } ], [ { 83, 85, 87 }, { 83, 85, 86 }, { 83, 86, 87, 88 }, { 85, 86, 88 }, { 85, 87, 88 } ], [ { 85, 86, 89 }, { 14, 85, 89 }, { 14, 85, 86 }, { 14, 86, 89 } ], [ { 10, 13, 53 }, { 10, 13, 90 }, { 10, 53, 55, 90 }, { 13, 55, 90 }, { 13, 53, 55 } ], [ { 12, 13, 14 }, { 10, 12, 13 }, { 10, 13, 14 }, { 10, 12, 14 } ], [ { 16, 18, 19 }, { 14, 18, 19 }, { 14, 16, 19 }, { 14, 16, 18 } ], [ { 20, 21, 23 }, { 21, 23, 77 }, { 20, 23, 77 }, { 20, 21, 77 } ], [ { 21, 74, 75 }, { 74, 75, 77 }, { 21, 75, 77 }, { 21, 74, 77 } ], [ { 26, 91, 92 }, { 26, 64, 92 }, { 26, 64, 91 }, { 64, 91, 92 } ], [ { 25, 26, 27 }, { 26, 27, 64 }, { 25, 27, 64 }, { 25, 26, 64 } ], [ { 18, 25, 93 }, { 18, 25, 64 }, { 18, 64, 93 }, { 25, 64, 93 } ], [ { 18, 91, 94, 95 }, { 18, 25, 26, 91 }, { 25, 26, 94, 95 }, { 26, 91, 94 }, { 18, 25, 95 } ], [ { 1, 2, 30 }, { 1, 2, 96 }, { 2, 30, 96 }, { 1, 30, 96 } ], [ { 97, 98, 99 }, { 35, 37, 97, 99 }, { 35, 97, 98 }, { 37, 98, 99 }, { 35, 37, 98 } ], [ { 31, 33, 36, 100 }, { 31, 32, 36 }, { 31, 32, 33 }, { 32, 33, 100 }, { 32, 36, 100 } ], [ { 35, 36, 101 }, { 31, 36, 101 }, { 31, 35, 37, 101 }, { 31, 36, 37 }, { 35, 36, 37 } ], [ { 101, 103, 104 }, { 101, 102, 104 }, { 102, 103, 104 }, { 101, 102, 103 } ], [ { 101, 103, 106 }, { 101, 103, 105 }, { 101, 105, 106 }, { 103, 105, 106 } ], [ { 40, 41, 56 }, { 39, 41, 56 }, { 39, 40, 41 }, { 39, 40, 56 } ], [ { 41, 60, 107 }, { 41, 56, 107 }, { 41, 56, 60 }, { 56, 60, 107 } ], [ { 41, 43, 60 }, { 40, 41, 60 }, { 40, 41, 43 }, { 40, 43, 60 } ], [ { 43, 47, 60 }, { 45, 47, 60 }, { 43, 45, 47 }, { 43, 45, 60 } ], [ { 10, 49, 51 }, { 48, 49, 51 }, { 10, 47, 48, 51 }, { 47, 48, 49 }, { 10, 47, 49 } ], [ { 10, 53, 55, 90 }, { 10, 49, 53 }, { 10, 49, 90 }, { 49, 53, 55 }, { 49, 55, 90 } ], [ { 49, 54, 108 }, { 49, 53, 54 }, { 49, 60, 108 }, { 49, 53, 60 }, { 53, 60, 109 }, { 60, 108, 109 }, { 53, 54, 109 }, { 54, 108, 109 } ], [ { 7, 9, 56 }, { 7, 9, 53 }, { 9, 53, 56 }, { 7, 53, 56 } ], [ { 9, 58, 60 }, { 9, 56, 58 }, { 56, 58, 60 }, { 9, 56, 60 } ], [ { 16, 56, 110 }, { 16, 53, 56 }, { 16, 53, 110 }, { 53, 56, 110 } ], [ { 16, 18, 62 }, { 18, 56, 62 }, { 16, 56, 62 }, { 16, 18, 56 } ], [ { 56, 63, 111 }, { 40, 63, 111 }, { 40, 56, 63 }, { 40, 56, 111 } ], [ { 63, 111, 112 }, { 40, 63, 112 }, { 40, 63, 111 }, { 40, 111, 112 } ], [ { 67, 69, 113 }, { 56, 67, 113 }, { 56, 67, 69 }, { 56, 69, 113 } ], [ { 64, 67, 112, 113 }, { 112, 113, 114 }, { 64, 112, 114, 115 }, { 67, 113, 114, 115 }, { 64, 67, 115 } ], [ { 111, 112, 113 }, { 56, 112, 113 }, { 56, 111, 113 }, { 56, 111, 112 } ], [ { 56, 67, 68 }, { 64, 67, 68 }, { 56, 64, 68 }, { 56, 64, 67 } ], [ { 18, 68, 70 }, { 64, 68, 70 }, { 18, 64, 68 }, { 18, 64, 70 } ], [ { 18, 68, 70 }, { 56, 68, 70 }, { 18, 56, 68 }, { 18, 56, 70 } ], [ { 74, 75, 77 }, { 73, 74, 75 }, { 73, 75, 77 }, { 73, 74, 77 } ], [ { 77, 78, 83 }, { 73, 78, 83 }, { 73, 77, 78 }, { 73, 77, 83 } ], [ { 83, 86, 87, 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], [ { 14, 18, 53 }, { 10, 14, 18 }, { 10, 18, 53 }, { 10, 14, 53 } ], [ { 21, 77, 86 }, { 21, 31, 86 }, { 21, 31, 77 }, { 31, 77, 86 } ], [ { 18, 40, 91, 120, 121, 122 }, { 18, 64, 91 }, { 18, 40, 64, 112 }, { 64, 91, 117, 122 }, { 112, 117, 120, 121 }, { 64, 112, 117 }, { 40, 112, 121 }, { 117, 120, 122 } ], [ { 30, 97, 101 }, { 31, 97, 99, 101 }, { 30, 31, 101 }, { 30, 31, 99 }, { 30, 97, 99 } ], [ { 33, 77, 106, 119 }, { 31, 77, 101, 106 }, { 31, 33, 77 }, { 31, 33, 101, 119 }, { 101, 106, 119 } ], [ { 101, 102, 106 }, { 40, 101, 106 }, { 40, 101, 102 }, { 40, 102, 106 } ], [ { 43, 47, 102 }, { 40, 43, 47 }, { 40, 47, 102 }, { 40, 43, 102 } ], [ { 47, 56, 60 }, { 40, 47, 60 }, { 40, 47, 56 }, { 40, 56, 60 } ], [ { 53, 56, 60 }, { 10, 47, 53, 60 }, { 10, 53, 56 }, { 47, 56, 60 }, { 10, 47, 56 } ], [ { 18, 53, 56 }, { 10, 18, 56 }, { 10, 18, 53 }, { 10, 53, 56 } ], [ { 18, 40, 56 }, { 18, 56, 64 }, { 18, 40, 64, 112 }, { 56, 64, 112 }, { 40, 56, 112 } ], [ { 77, 83, 86 }, { 10, 83, 86 }, { 10, 77, 83 }, { 10, 77, 86 } ], [ { 14, 18, 86 }, { 10, 18, 86 }, { 10, 14, 18 }, { 10, 14, 86 } ], [ { 18, 77, 86 }, { 18, 31, 86 }, { 18, 31, 77 }, { 31, 77, 86 } ], [ { 18, 30, 77 }, { 18, 30, 31 }, { 30, 31, 77 }, { 18, 31, 77 } ], [ { 18, 40, 91, 120, 121, 122 }, { 18, 30, 91, 124 }, { 18, 30, 40 }, { 30, 40, 121, 123 }, { 120, 121, 123 }, { 120, 122, 123, 124 }, { 30, 123, 124 }, { 91, 122, 124 } ], [ { 30, 101, 106 }, { 30, 40, 101 }, { 40, 101, 106 }, { 30, 40, 106 } ], [ { 30, 77, 106 }, { 30, 31, 77 }, { 31, 77, 101, 106 }, { 30, 101, 106 }, { 30, 31, 101 } ], [ { 47, 102, 106 }, { 40, 47, 106 }, { 40, 47, 102 }, { 40, 102, 106 } ], [ { 18, 40, 56 }, { 10, 18, 56 }, { 10, 18, 40, 47 }, { 10, 47, 56 }, { 40, 47, 56 } ], [ { 18, 77, 86 }, { 10, 18, 86 }, { 10, 18, 77 }, { 10, 77, 86 } ], [ { 30, 77, 106 }, { 30, 40, 106 }, { 18, 40, 77, 106 }, { 18, 30, 40 }, { 18, 30, 77 } ], [ { 18, 40, 77, 106 }, { 10, 47, 77, 106 }, { 10, 18, 77 }, { 10, 18, 40, 47 }, { 40, 47, 106 } ], [ { 10, 47, 77, 106 }, { 10, 77, 125, 126 }, { 77, 106, 126 }, { 47, 106, 125, 126 }, { 10, 47, 125 } ] ] /* Order of PGL_2(O) stabilizers of Voronoi top cells */ [ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3 ] /* GAP id of GL_2(O) stabilizers of Voronoi top cells */ [ <4, 2>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2>, <2, 1>, <2, 1>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2> ]