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