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