/* Defining polynomial */ x^2 - x + 48 /* Minimal vectors */ [ <1, -1>, , , , <9, -w - 4>, <-4*w + 12, w - 27>, , , <4*w + 8, -3*w + 18>, , <-5*w + 15, w - 33>, , <-w + 14, -w - 11>, <-w + 23, -2*w - 15>, <-w + 6, -9>, <9, -w - 5>, <-2*w + 4, w - 14>, <8, -w - 5>, , <-w + 15, -w - 15>, <2*w + 5, -2*w + 9>, <-3*w + 9, w - 23>, <-w + 14, -w - 14>, <24, -3*w - 14>, <3*w + 2, -2*w + 15>, <-w + 14, -w - 12>, <4*w + 15, -4*w + 15>, <3*w + 29, -5*w + 3>, <5*w + 2, -3*w + 24>, <-2*w + 11, -15>, <3*w + 13, -3*w + 9>, <-w + 15, -w - 12>, <2*w + 18, -3*w + 2>, , <3*w + 3, -2*w + 14>, , <28, -3*w - 13>, <-5*w + 17, w - 33>, <-4*w + 19, -30>, <-3*w + 32, -2*w - 30>, , <2*w + 9, -2*w + 7>, <-2*w + 18, -w - 18>, <18, -2*w - 7>, <-w + 31, -3*w - 18>, <-3*w + 5, w - 18>, <-w + 5, -7>, <4*w + 9, -3*w + 17>, <-3*w + 14, -21>, <-2*w + 19, -w - 18>, , <-w + 6, -8>, , , , , <3*w + 7, -3*w + 14>, <-2*w + 11, -18>, <-w + 22, -2*w - 18>, <-w + 5, -8>, <2*w + 7, -2*w + 7>, <-2*w + 11, -16>, <18, -2*w - 9>, <2*w + 16, -3*w + 3>, <-3*w + 6, w - 18>, <-3*w + 15, -22>, , <-2*w + 20, -w - 19>, <-4*w + 2, 2*w - 21>, <-3*w + 16, -22>, <29, -3*w - 13>, <3*w + 12, -3*w + 10>, <1, 0>, <-w + 6, -7>, <-w + 6, -6>, , <12, -w - 5>, <-w + 7, -8>, <10, -w - 5>, , , <12, -w - 6>, <-2*w + 9, -14>, <8, -w - 4>, <-w + 7, -7>, , <-w + 4, -8>, <8, -w - 3>, <0, 1> ] /* Voronoi top cells */ [ { 1, 2, 3, 4 }, { 5, 6, 7, 8 }, { 5, 9, 10, 11, 12 }, { 5, 9, 13, 14 }, { 1, 3, 4, 15, 16 }, { 3, 15, 17, 18, 19, 20 }, { 18, 21, 22, 23, 24 }, { 5, 6, 7, 25 }, { 5, 26, 27, 28 }, { 5, 6, 25, 26 }, { 29, 30, 31, 32, 33, 34 }, { 32, 35, 36, 37 }, { 32, 33, 35, 38 }, { 5, 10, 39, 40 }, { 41, 42, 43, 44 }, { 10, 41, 43, 45 }, { 5, 9, 10, 46 }, { 13, 47, 48, 49, 50, 51 }, { 5, 9, 13, 46 }, { 1, 4, 16, 52 }, { 1, 4, 52, 53 }, { 1, 3, 18, 54 }, { 1, 15, 16, 55 }, { 1, 3, 15, 18 }, { 18, 21, 24, 56, 57 }, { 15, 18, 21, 55 }, { 21, 55, 58, 59 }, { 60, 61, 62, 63 }, { 5, 7, 25, 62 }, { 5, 26, 27, 60 }, { 26, 60, 62, 64 }, { 5, 25, 26, 62 }, { 5, 47, 65, 66 }, { 47, 65, 67, 68 }, { 31, 33, 68, 69, 70, 71 }, { 30, 31, 32, 33, 36 }, { 5, 35, 36, 72 }, { 32, 33, 35, 36 }, { 73, 74, 75, 76, 77 }, { 36, 52, 53, 78, 79 }, { 1, 53, 78, 80, 81, 82 }, { 41, 42, 44, 83 }, { 42, 47, 49, 83 }, { 5, 10, 39, 41 }, { 10, 41, 42, 43 }, { 5, 10, 42, 46 }, { 13, 42, 47, 49, 51 }, { 5, 13, 42, 46 }, { 1, 16, 52, 55 }, { 1, 36, 52, 53 }, { 36, 52, 55, 61 }, { 55, 60, 61, 63 }, { 1, 18, 54, 56 }, { 1, 15, 18, 55 }, { 18, 21, 55, 56 }, { 21, 55, 58, 84 }, { 36, 60, 61, 62 }, { 5, 7, 36, 62 }, { 5, 26, 60, 62 }, { 5, 47, 65, 68 }, { 5, 33, 35, 65, 68 }, { 31, 33, 36, 47, 68, 70 }, { 5, 33, 35, 36 }, { 1, 73, 74, 76, 81, 85 }, { 1, 36, 53, 78, 81 }, { 41, 42, 47, 83 }, { 5, 10, 41, 42 }, { 5, 13, 42, 47 }, { 1, 36, 52, 55 }, { 36, 55, 60, 61 }, { 1, 18, 55, 56 }, { 21, 55, 56, 84 }, { 5, 36, 60, 62 }, { 5, 33, 36, 47, 68 }, { 1, 36, 47, 73, 74, 81 }, { 5, 41, 42, 47 }, { 1, 36, 55, 60 }, { 1, 55, 56, 84 }, { 1, 5, 36, 60 }, { 1, 5, 36, 47, 73 }, { 5, 41, 47, 73 }, { 1, 55, 60, 84 }, { 1, 5, 41, 60, 73 }, { 1, 41, 60, 73, 84, 86, 87, 88, 89 } ] /* Faces of top cells */ [ [ { 2, 3, 4 }, { 1, 3, 4 }, { 1, 2, 4 }, { 1, 2, 3 } ], [ { 6, 7, 8 }, { 5, 7, 8 }, { 5, 6, 8 }, { 5, 6, 7 } ], [ { 9, 10, 11, 12 }, { 5, 9, 11 }, { 5, 9, 10 }, { 5, 10, 12 }, { 5, 11, 12 } ], [ { 5, 13, 14 }, { 9, 13, 14 }, { 5, 9, 14 }, { 5, 9, 13 } ], [ { 3, 4, 15, 16 }, { 1, 3, 15 }, { 1, 3, 4 }, { 1, 15, 16 }, { 1, 4, 16 } ], [ { 15, 17, 18, 19 }, { 3, 15, 18 }, { 3, 17, 18, 20 }, { 3, 15, 19, 20 }, { 17, 19, 20 } ], [ { 18, 22, 23, 24 }, { 21, 22, 23 }, { 18, 21, 23 }, { 21, 22, 24 }, { 18, 21, 24 } ], [ { 5, 6, 7 }, { 6, 7, 25 }, { 5, 7, 25 }, { 5, 6, 25 } ], [ { 26, 27, 28 }, { 5, 27, 28 }, { 5, 26, 28 }, { 5, 26, 27 } ], [ { 5, 6, 26 }, { 6, 25, 26 }, { 5, 25, 26 }, { 5, 6, 25 } ], [ { 30, 31, 32, 33 }, { 29, 30, 32, 34 }, { 29, 30, 31 }, { 29, 31, 33, 34 }, { 32, 33, 34 } ], [ { 32, 36, 37 }, { 32, 35, 37 }, { 35, 36, 37 }, { 32, 35, 36 } ], [ { 32, 33, 38 }, { 33, 35, 38 }, { 32, 33, 35 }, { 32, 35, 38 } ], [ { 10, 39, 40 }, { 5, 39, 40 }, { 5, 10, 40 }, { 5, 10, 39 } ], [ { 42, 43, 44 }, { 41, 43, 44 }, { 41, 42, 44 }, { 41, 42, 43 } ], [ { 10, 43, 45 }, { 41, 43, 45 }, { 10, 41, 45 }, { 10, 41, 43 } ], [ { 5, 9, 10 }, { 5, 10, 46 }, { 9, 10, 46 }, { 5, 9, 46 } ], [ { 13, 47, 49, 51 }, { 47, 48, 49, 50 }, { 13, 47, 50 }, { 13, 48, 50, 51 }, { 48, 49, 51 } ], [ { 5, 9, 13 }, { 5, 13, 46 }, { 9, 13, 46 }, { 5, 9, 46 } ], [ { 4, 16, 52 }, { 1, 16, 52 }, { 1, 4, 16 }, { 1, 4, 52 } ], [ { 4, 52, 53 }, { 1, 52, 53 }, { 1, 4, 52 }, { 1, 4, 53 } ], [ { 3, 18, 54 }, { 1, 3, 18 }, { 1, 18, 54 }, { 1, 3, 54 } ], [ { 15, 16, 55 }, { 1, 15, 16 }, { 1, 16, 55 }, { 1, 15, 55 } ], [ { 3, 15, 18 }, { 1, 15, 18 }, { 1, 3, 18 }, { 1, 3, 15 } ], [ { 18, 24, 56, 57 }, { 18, 21, 56 }, { 21, 56, 57 }, { 18, 21, 24 }, { 21, 24, 57 } ], [ { 15, 18, 21 }, { 15, 18, 55 }, { 18, 21, 55 }, { 15, 21, 55 } ], [ { 21, 58, 59 }, { 55, 58, 59 }, { 21, 55, 59 }, { 21, 55, 58 } ], [ { 61, 62, 63 }, { 60, 62, 63 }, { 60, 61, 63 }, { 60, 61, 62 } ], [ { 5, 7, 62 }, { 7, 25, 62 }, { 5, 7, 25 }, { 5, 25, 62 } ], [ { 5, 26, 27 }, { 26, 27, 60 }, { 5, 27, 60 }, { 5, 26, 60 } ], [ { 26, 62, 64 }, { 26, 60, 64 }, { 60, 62, 64 }, { 26, 60, 62 } ], [ { 5, 26, 62 }, { 25, 26, 62 }, { 5, 25, 26 }, { 5, 25, 62 } ], [ { 5, 65, 66 }, { 5, 47, 66 }, { 47, 65, 66 }, { 5, 47, 65 } ], [ { 65, 67, 68 }, { 47, 67, 68 }, { 47, 65, 68 }, { 47, 65, 67 } ], [ { 31, 33, 68, 70 }, { 31, 33, 69, 71 }, { 68, 69, 70, 71 }, { 33, 68, 69 }, { 31, 70, 71 } ], [ { 30, 31, 32, 33 }, { 30, 32, 36 }, { 30, 31, 36 }, { 32, 33, 36 }, { 31, 33, 36 } ], [ { 5, 36, 72 }, { 5, 35, 72 }, { 35, 36, 72 }, { 5, 35, 36 } ], [ { 32, 33, 36 }, { 32, 33, 35 }, { 33, 35, 36 }, { 32, 35, 36 } ], [ { 73, 75, 76 }, { 73, 74, 76 }, { 73, 74, 75, 77 }, { 74, 76, 77 }, { 75, 76, 77 } ], [ { 52, 53, 78, 79 }, { 36, 53, 78 }, { 36, 52, 53 }, { 36, 52, 79 }, { 36, 78, 79 } ], [ { 1, 80, 81, 82 }, { 1, 53, 78, 81 }, { 1, 53, 80 }, { 53, 78, 80, 82 }, { 78, 81, 82 } ], [ { 42, 44, 83 }, { 41, 42, 44 }, { 41, 44, 83 }, { 41, 42, 83 } ], [ { 42, 49, 83 }, { 42, 47, 49 }, { 47, 49, 83 }, { 42, 47, 83 } ], [ { 5, 10, 39 }, { 10, 39, 41 }, { 5, 39, 41 }, { 5, 10, 41 } ], [ { 10, 42, 43 }, { 10, 41, 43 }, { 41, 42, 43 }, { 10, 41, 42 } ], [ { 5, 10, 42 }, { 10, 42, 46 }, { 5, 10, 46 }, { 5, 42, 46 } ], [ { 13, 47, 49, 51 }, { 13, 42, 47 }, { 42, 47, 49 }, { 13, 42, 51 }, { 42, 49, 51 } ], [ { 5, 13, 42 }, { 13, 42, 46 }, { 5, 13, 46 }, { 5, 42, 46 } ], [ { 16, 52, 55 }, { 1, 16, 52 }, { 1, 16, 55 }, { 1, 52, 55 } ], [ { 36, 52, 53 }, { 1, 36, 52 }, { 1, 52, 53 }, { 1, 36, 53 } ], [ { 36, 52, 61 }, { 52, 55, 61 }, { 36, 55, 61 }, { 36, 52, 55 } ], [ { 60, 61, 63 }, { 55, 61, 63 }, { 55, 60, 63 }, { 55, 60, 61 } ], [ { 18, 54, 56 }, { 1, 18, 56 }, { 1, 18, 54 }, { 1, 54, 56 } ], [ { 15, 18, 55 }, { 1, 15, 18 }, { 1, 18, 55 }, { 1, 15, 55 } ], [ { 18, 21, 55 }, { 18, 21, 56 }, { 18, 55, 56 }, { 21, 55, 56 } ], [ { 21, 58, 84 }, { 55, 58, 84 }, { 21, 55, 58 }, { 21, 55, 84 } ], [ { 60, 61, 62 }, { 36, 61, 62 }, { 36, 60, 62 }, { 36, 60, 61 } ], [ { 5, 7, 62 }, { 7, 36, 62 }, { 5, 7, 36 }, { 5, 36, 62 } ], [ { 5, 26, 62 }, { 26, 60, 62 }, { 5, 26, 60 }, { 5, 60, 62 } ], [ { 5, 65, 68 }, { 5, 47, 68 }, { 47, 65, 68 }, { 5, 47, 65 } ], [ { 5, 33, 35 }, { 33, 35, 65, 68 }, { 5, 35, 65 }, { 5, 65, 68 }, { 5, 33, 68 } ], [ { 31, 33, 36 }, { 33, 36, 47, 68 }, { 31, 36, 47, 70 }, { 31, 33, 68, 70 }, { 47, 68, 70 } ], [ { 5, 33, 36 }, { 5, 33, 35 }, { 33, 35, 36 }, { 5, 35, 36 } ], [ { 1, 73, 76, 85 }, { 1, 73, 74, 81 }, { 74, 76, 81, 85 }, { 73, 74, 76 }, { 1, 81, 85 } ], [ { 1, 36, 81 }, { 1, 53, 78, 81 }, { 1, 36, 53 }, { 36, 53, 78 }, { 36, 78, 81 } ], [ { 42, 47, 83 }, { 41, 42, 83 }, { 41, 42, 47 }, { 41, 47, 83 } ], [ { 5, 10, 42 }, { 10, 41, 42 }, { 5, 10, 41 }, { 5, 41, 42 } ], [ { 5, 13, 42 }, { 13, 42, 47 }, { 5, 13, 47 }, { 5, 42, 47 } ], [ { 36, 52, 55 }, { 1, 36, 52 }, { 1, 52, 55 }, { 1, 36, 55 } ], [ { 36, 60, 61 }, { 55, 60, 61 }, { 36, 55, 61 }, { 36, 55, 60 } ], [ { 18, 55, 56 }, { 1, 18, 55 }, { 1, 18, 56 }, { 1, 55, 56 } ], [ { 21, 55, 84 }, { 21, 56, 84 }, { 55, 56, 84 }, { 21, 55, 56 } ], [ { 5, 60, 62 }, { 5, 36, 62 }, { 36, 60, 62 }, { 5, 36, 60 } ], [ { 5, 33, 36 }, { 33, 36, 47, 68 }, { 5, 36, 47 }, { 5, 33, 68 }, { 5, 47, 68 } ], [ { 1, 36, 81 }, { 1, 73, 74, 81 }, { 1, 36, 47, 73 }, { 36, 47, 74, 81 }, { 47, 73, 74 } ], [ { 5, 42, 47 }, { 5, 41, 42 }, { 41, 42, 47 }, { 5, 41, 47 } ], [ { 36, 55, 60 }, { 1, 36, 60 }, { 1, 55, 60 }, { 1, 36, 55 } ], [ { 55, 56, 84 }, { 1, 55, 84 }, { 1, 56, 84 }, { 1, 55, 56 } ], [ { 5, 36, 60 }, { 1, 5, 60 }, { 1, 5, 36 }, { 1, 36, 60 } ], [ { 1, 5, 36 }, { 1, 5, 73 }, { 1, 36, 47, 73 }, { 5, 36, 47 }, { 5, 47, 73 } ], [ { 5, 41, 47 }, { 5, 47, 73 }, { 5, 41, 73 }, { 41, 47, 73 } ], [ { 55, 60, 84 }, { 1, 60, 84 }, { 1, 55, 84 }, { 1, 55, 60 } ], [ { 5, 41, 73 }, { 1, 5, 73 }, { 1, 41, 60, 73 }, { 5, 41, 60 }, { 1, 5, 60 } ], [ { 1, 41, 60, 73 }, { 41, 60, 84, 86, 87, 88 }, { 1, 84, 86, 89 }, { 1, 60, 84 }, { 41, 73, 88 }, { 73, 87, 88, 89 }, { 86, 87, 89 }, { 1, 73, 89 } ] ] /* Order of PGL_2(O) stabilizers of Voronoi top cells */ [ 1, 1, 1, 1, 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, 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, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3 ] /* GAP id of GL_2(O) stabilizers of Voronoi top cells */ [ <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>, <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>, <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>, <4, 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>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2> ]