/* Defining polynomial */ x^2 - x + 57 /* Minimal vectors */ [ , <-3*w + 13, -25>, <3*w + 13, -3*w + 15>, <2*w, -w + 13>, <-2*w + 18, -w - 20>, <-w + 31, -3*w - 19>, <-w + 14, -w - 13>, <4*w + 15, -4*w + 19>, <-4*w + 20, -35>, <35, -4*w - 16>, <-4*w + 2, 2*w - 25>, <2*w + 18, -3*w + 4>, <-2*w + 20, -w - 21>, <23*w + 88, -22*w + 99>, <-23*w + 111, w - 188>, <199, -21*w - 89>, <-2*w + 2, w - 12>, , <-w + 6, -8>, <10, -w - 5>, <-w + 5, -7>, , <10, -w - 4>, <2*w, -w + 11>, <2*w + 1, -w + 11>, <-w + 4, -7>, , <-w + 3, -7>, <9, -w - 3>, <-w + 13, -w - 10>, <-w + 5, -8>, <9, -w - 4>, <-w + 14, -w - 12>, <28, -3*w - 12>, <-3*w + 5, w - 21>, <2*w + 9, -2*w + 9>, , <18, -2*w - 7>, <-w + 4, -8>, <11*w + 25, -9*w + 61>, <-11*w + 36, 2*w - 88>, <61, -7*w - 27>, <13*w + 111, -20*w + 36>, <-13*w + 124, -7*w - 140>, <-w + 5, -9>, , , <-4*w + 11, w - 31>, <-4*w + 55, -4*w - 51>, <-3*w + 6, w - 22>, <5*w + 2, -3*w + 30>, <3*w + 3, -2*w + 17>, <-3*w + 6, w - 21>, <-5*w + 7, 2*w - 34>, , <-w + 33, -3*w - 21>, <4*w + 35, -6*w + 9>, <-4*w + 39, -2*w - 42>, <5*w + 21, -5*w + 21>, <-5*w + 26, -42>, <2*w + 27, -4*w>, <-2*w + 29, -2*w - 25>, , <28, -3*w - 13>, <1, -1>, <1, 0>, , <-2*w + 9, -16>, <5*w + 68, -10*w + 5>, , <-22*w + 11, 11*w - 149>, <9*w + 52, -11*w + 36>, <-9*w + 61, -2*w - 86>, <20*w + 77, -20*w + 97>, <2*w + 86, -11*w - 25>, <-2*w + 88, -9*w - 52>, <-20*w + 97, -174>, <11*w + 138, -22*w + 11>, <-11*w + 149, -11*w - 138>, <174, -20*w - 77>, <-4*w + 2, 2*w - 27>, <2*w + 25, -4*w + 2>, <-2*w + 27, -2*w - 25>, <0, 1> ] /* Voronoi top cells */ [ { 1, 2, 3, 4 }, { 1, 4, 5, 6 }, { 7, 8, 9, 10 }, { 11, 12, 13, 14, 15, 16 }, { 17, 18, 19, 20 }, { 21, 22, 23, 24 }, { 21, 25, 26, 27 }, { 26, 28, 29, 30 }, { 31, 32, 33, 34 }, { 32, 33, 35, 36 }, { 1, 5, 37, 38 }, { 32, 35, 36, 37 }, { 1, 3, 4, 39 }, { 1, 4, 5, 38 }, { 40, 41, 42, 43, 44 }, { 10, 45, 46, 47 }, { 9, 10, 47, 48, 49 }, { 7, 9, 10, 32, 45 }, { 9, 32, 48, 50 }, { 32, 51, 52, 53, 54, 55, 56, 57, 58 }, { 11, 12, 13, 52, 53, 59, 60, 61, 62 }, { 32, 52, 63, 64 }, { 31, 32, 34, 53 }, { 18, 19, 20, 65 }, { 21, 22, 23, 66 }, { 28, 29, 66, 67 }, { 21, 26, 27, 66 }, { 26, 28, 29, 66 }, { 21, 23, 27, 66 }, { 31, 32, 33, 36 }, { 36, 38, 68, 69 }, { 1, 32, 36, 37, 38 }, { 1, 4, 38, 39 }, { 27, 29, 68, 70 }, { 40, 41, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80 }, { 40, 41, 42, 81 }, { 45, 46, 47, 82 }, { 32, 48, 50, 81 }, { 9, 10, 32, 45, 47, 48 }, { 12, 13, 32, 52, 53 }, { 13, 32, 52, 63 }, { 12, 31, 32, 53 }, { 19, 20, 63, 65 }, { 22, 23, 31, 66 }, { 29, 39, 66, 67 }, { 26, 27, 29, 66 }, { 23, 27, 31, 66 }, { 31, 32, 36, 68 }, { 1, 32, 36, 38, 68 }, { 1, 38, 39, 68 }, { 27, 29, 31, 39, 68 }, { 40, 41, 72, 73, 75, 76, 81, 82, 83 }, { 32, 45, 47, 48, 81, 82 }, { 12, 13, 31, 32, 63 }, { 19, 22, 31, 63, 65, 66 }, { 27, 29, 31, 39, 66 }, { 1, 31, 32, 39, 68 }, { 1, 32, 45, 81, 82, 83 }, { 31, 32, 63, 65, 66 }, { 1, 31, 32, 39, 66 }, { 1, 32, 45, 65, 66, 84 } ] /* Faces of top cells */ [ [ { 2, 3, 4 }, { 1, 3, 4 }, { 1, 2, 4 }, { 1, 2, 3 } ], [ { 4, 5, 6 }, { 1, 4, 6 }, { 1, 4, 5 }, { 1, 5, 6 } ], [ { 8, 9, 10 }, { 7, 9, 10 }, { 7, 8, 10 }, { 7, 8, 9 } ], [ { 11, 12, 14 }, { 11, 12, 13 }, { 11, 13, 15 }, { 11, 14, 15 }, { 12, 13, 16 }, { 12, 14, 16 }, { 13, 15, 16 }, { 14, 15, 16 } ], [ { 18, 19, 20 }, { 17, 19, 20 }, { 17, 18, 20 }, { 17, 18, 19 } ], [ { 22, 23, 24 }, { 21, 23, 24 }, { 21, 22, 24 }, { 21, 22, 23 } ], [ { 21, 26, 27 }, { 21, 25, 27 }, { 25, 26, 27 }, { 21, 25, 26 } ], [ { 26, 29, 30 }, { 28, 29, 30 }, { 26, 28, 30 }, { 26, 28, 29 } ], [ { 32, 33, 34 }, { 31, 33, 34 }, { 31, 32, 34 }, { 31, 32, 33 } ], [ { 32, 33, 36 }, { 33, 35, 36 }, { 32, 33, 35 }, { 32, 35, 36 } ], [ { 5, 37, 38 }, { 1, 5, 38 }, { 1, 37, 38 }, { 1, 5, 37 } ], [ { 32, 36, 37 }, { 35, 36, 37 }, { 32, 35, 37 }, { 32, 35, 36 } ], [ { 1, 3, 4 }, { 3, 4, 39 }, { 1, 4, 39 }, { 1, 3, 39 } ], [ { 4, 5, 38 }, { 1, 4, 38 }, { 1, 4, 5 }, { 1, 5, 38 } ], [ { 41, 42, 43 }, { 40, 41, 43, 44 }, { 40, 41, 42 }, { 40, 42, 44 }, { 42, 43, 44 } ], [ { 10, 46, 47 }, { 10, 45, 47 }, { 10, 45, 46 }, { 45, 46, 47 } ], [ { 47, 48, 49 }, { 9, 48, 49 }, { 9, 10, 47, 48 }, { 9, 10, 49 }, { 10, 47, 49 } ], [ { 7, 9, 32 }, { 9, 10, 32, 45 }, { 7, 32, 45 }, { 7, 9, 10 }, { 7, 10, 45 } ], [ { 9, 32, 48 }, { 9, 48, 50 }, { 9, 32, 50 }, { 32, 48, 50 } ], [ { 32, 52, 53 }, { 32, 51, 52, 56 }, { 32, 53, 54, 55 }, { 32, 51, 54 }, { 52, 53, 55, 56, 57, 58 }, { 51, 54, 57, 58 }, { 51, 56, 57 }, { 54, 55, 58 } ], [ { 12, 13, 52, 53 }, { 11, 12, 13 }, { 52, 53, 59, 60, 61, 62 }, { 11, 12, 59, 62 }, { 11, 13, 60, 61 }, { 11, 59, 60 }, { 13, 52, 61 }, { 12, 53, 62 } ], [ { 32, 63, 64 }, { 32, 52, 64 }, { 52, 63, 64 }, { 32, 52, 63 } ], [ { 32, 34, 53 }, { 31, 32, 34 }, { 31, 34, 53 }, { 31, 32, 53 } ], [ { 18, 19, 20 }, { 19, 20, 65 }, { 18, 20, 65 }, { 18, 19, 65 } ], [ { 21, 22, 23 }, { 22, 23, 66 }, { 21, 23, 66 }, { 21, 22, 66 } ], [ { 28, 29, 67 }, { 29, 66, 67 }, { 28, 29, 66 }, { 28, 66, 67 } ], [ { 21, 26, 27 }, { 21, 27, 66 }, { 26, 27, 66 }, { 21, 26, 66 } ], [ { 26, 28, 29 }, { 26, 29, 66 }, { 28, 29, 66 }, { 26, 28, 66 } ], [ { 21, 23, 27 }, { 23, 27, 66 }, { 21, 23, 66 }, { 21, 27, 66 } ], [ { 32, 33, 36 }, { 31, 33, 36 }, { 31, 32, 33 }, { 31, 32, 36 } ], [ { 36, 38, 69 }, { 38, 68, 69 }, { 36, 68, 69 }, { 36, 38, 68 } ], [ { 32, 36, 37 }, { 1, 32, 37 }, { 1, 32, 36, 38 }, { 36, 37, 38 }, { 1, 37, 38 } ], [ { 1, 4, 38 }, { 4, 38, 39 }, { 1, 4, 39 }, { 1, 38, 39 } ], [ { 29, 68, 70 }, { 27, 29, 70 }, { 27, 68, 70 }, { 27, 29, 68 } ], [ { 40, 41, 72, 73, 75, 76 }, { 40, 41, 71 }, { 40, 71, 74, 76, 79, 80 }, { 72, 73, 74, 77, 78, 79 }, { 41, 71, 75, 77, 78, 80 }, { 72, 75, 78 }, { 73, 76, 79 }, { 74, 77, 80 } ], [ { 40, 41, 42 }, { 41, 42, 81 }, { 40, 42, 81 }, { 40, 41, 81 } ], [ { 46, 47, 82 }, { 45, 47, 82 }, { 45, 46, 47 }, { 45, 46, 82 } ], [ { 32, 48, 50 }, { 32, 48, 81 }, { 48, 50, 81 }, { 32, 50, 81 } ], [ { 9, 32, 48 }, { 9, 10, 32, 45 }, { 32, 45, 47, 48 }, { 9, 10, 47, 48 }, { 10, 45, 47 } ], [ { 12, 32, 53 }, { 12, 13, 52, 53 }, { 32, 52, 53 }, { 12, 13, 32 }, { 13, 32, 52 } ], [ { 13, 32, 63 }, { 13, 32, 52 }, { 13, 52, 63 }, { 32, 52, 63 } ], [ { 12, 32, 53 }, { 12, 31, 32 }, { 12, 31, 53 }, { 31, 32, 53 } ], [ { 19, 20, 63 }, { 19, 20, 65 }, { 20, 63, 65 }, { 19, 63, 65 } ], [ { 22, 23, 31 }, { 22, 23, 66 }, { 23, 31, 66 }, { 22, 31, 66 } ], [ { 29, 39, 67 }, { 29, 66, 67 }, { 29, 39, 66 }, { 39, 66, 67 } ], [ { 26, 27, 29 }, { 27, 29, 66 }, { 26, 29, 66 }, { 26, 27, 66 } ], [ { 23, 27, 31 }, { 23, 27, 66 }, { 23, 31, 66 }, { 27, 31, 66 } ], [ { 32, 36, 68 }, { 31, 32, 36 }, { 31, 36, 68 }, { 31, 32, 68 } ], [ { 32, 36, 68 }, { 1, 32, 36, 38 }, { 1, 32, 68 }, { 36, 38, 68 }, { 1, 38, 68 } ], [ { 1, 38, 68 }, { 38, 39, 68 }, { 1, 38, 39 }, { 1, 39, 68 } ], [ { 27, 31, 68 }, { 31, 39, 68 }, { 27, 29, 31, 39 }, { 27, 29, 68 }, { 29, 39, 68 } ], [ { 40, 76, 81, 83 }, { 81, 82, 83 }, { 41, 75, 81, 82 }, { 40, 41, 81 }, { 72, 73, 82, 83 }, { 40, 41, 72, 73, 75, 76 }, { 72, 75, 82 }, { 73, 76, 83 } ], [ { 32, 45, 47, 48 }, { 32, 48, 81 }, { 32, 45, 81, 82 }, { 47, 48, 81, 82 }, { 45, 47, 82 } ], [ { 12, 31, 32 }, { 12, 13, 31, 63 }, { 31, 32, 63 }, { 13, 32, 63 }, { 12, 13, 32 } ], [ { 19, 22, 65, 66 }, { 31, 63, 65, 66 }, { 19, 22, 31, 63 }, { 22, 31, 66 }, { 19, 63, 65 } ], [ { 27, 29, 31, 39 }, { 27, 31, 66 }, { 31, 39, 66 }, { 27, 29, 66 }, { 29, 39, 66 } ], [ { 31, 39, 68 }, { 1, 39, 68 }, { 1, 31, 32, 39 }, { 1, 32, 68 }, { 31, 32, 68 } ], [ { 1, 32, 45 }, { 32, 45, 81, 82 }, { 1, 32, 81, 83 }, { 1, 45, 82, 83 }, { 81, 82, 83 } ], [ { 32, 63, 65 }, { 32, 65, 66 }, { 31, 63, 65, 66 }, { 31, 32, 66 }, { 31, 32, 63 } ], [ { 1, 31, 32, 39 }, { 31, 39, 66 }, { 1, 39, 66 }, { 1, 32, 66 }, { 31, 32, 66 } ], [ { 1, 32, 66 }, { 32, 65, 66 }, { 1, 32, 45 }, { 32, 45, 65 }, { 45, 65, 84 }, { 1, 45, 84 }, { 1, 66, 84 }, { 65, 66, 84 } ] ] /* Order of PGL_2(O) stabilizers of Voronoi top cells */ [ 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3 ] /* GAP id of GL_2(O) stabilizers of Voronoi top cells */ [ <2, 1>, <2, 1>, <2, 1>, <12, 4>, <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>, <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>, <24, 3>, <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>, <6, 2>, <2, 1>, <2, 1>, <6, 2> ]