/* Defining polynomial */ x^2 - x + 53 /* Minimal vectors */ [ <1, -1>, , , , <-w + 9, -10>, <-w + 5, -7>, <-6*w + 10, 2*w - 35>, <2*w + 31, -4*w - 2>, <3*w + 36, -5*w + 1>, <-4*w + 41, -2*w - 37>, , <-3*w + 6, w - 17>, <11, -w - 5>, <2*w + 11, -2*w + 5>, , <-w + 17, -w - 12>, <-2*w + 2, w - 12>, , , <-w + 15, -w - 13>, <-w + 6, -9>, <19, -2*w - 10>, , <-w + 7, -10>, <10, -w - 6>, <-w + 7, -9>, , <-2*w + 3, w - 12>, , <-2*w + 13, -18>, <10, -w - 4>, <2*w + 41, -5*w - 6>, <6*w, -3*w + 31>, <-w + 6, -7>, <-2*w + 11, -14>, <1, 0>, , , <-w + 7, -7>, <5*w + 52, -9*w>, <-4*w + 61, -4*w - 57>, <27*w + 83, -27*w + 110>, <-25*w + 134, 2*w - 219>, <23*w + 144, -31*w + 53>, <-20*w + 186, -7*w - 219>, <10, -w - 5>, <2*w + 7, -2*w + 7>, <3*w + 10, -3*w + 11>, <-w + 16, -w - 14>, <-2*w + 22, -w - 23>, <11, -w - 6>, <-3*w + 36, -2*w - 30>, <-w + 5, -8>, <-w + 15, -w - 12>, <-w + 6, -8>, <-9*w + 9, 5*w - 57>, <2*w + 217, -25*w - 109>, <-4*w + 52, -3*w - 52>, <-3*w + 55, -4*w - 48>, <5*w + 43, -8*w + 5>, <9, -w - 5>, , <-w + 4, -8>, , <-w + 5, -9>, <8, -w - 4>, <8, -w - 3>, <9, -w - 4>, <0, 1> ] /* Voronoi top cells */ [ { 1, 2, 3, 4, 5 }, { 6, 7, 8, 9, 10 }, { 11, 12, 13, 14, 15, 16 }, { 17, 18, 19, 20 }, { 17, 19, 21, 22 }, { 1, 23, 24, 25 }, { 1, 3, 25, 26 }, { 1, 3, 4, 26 }, { 23, 25, 26, 27 }, { 26, 27, 28, 29, 30 }, { 6, 7, 9, 31, 32, 33 }, { 6, 11, 14, 34, 35 }, { 1, 34, 36, 37, 38, 39 }, { 11, 13, 14, 16, 34 }, { 40, 41, 42, 43, 44, 45 }, { 17, 18, 19, 21 }, { 17, 21, 22, 46 }, { 23, 27, 29, 30, 47 }, { 21, 23, 47, 48, 49, 50 }, { 1, 23, 25, 26 }, { 1, 4, 26, 29, 51 }, { 23, 26, 27, 29 }, { 6, 9, 11, 31, 33, 52 }, { 11, 31, 53, 54 }, { 6, 11, 34, 36 }, { 1, 13, 37, 55 }, { 1, 13, 34, 36, 37 }, { 11, 13, 34, 36 }, { 40, 41, 42, 43, 56, 57 }, { 23, 40, 56, 58, 59 }, { 21, 23, 56, 58, 60 }, { 17, 18, 21, 46 }, { 21, 23, 29, 46, 47, 49 }, { 1, 23, 26, 29 }, { 6, 11, 31, 36, 53 }, { 1, 11, 13, 36, 55 }, { 21, 23, 40, 41, 56, 61 }, { 1, 18, 21, 23, 29, 46 }, { 1, 11, 18, 36, 53, 55 }, { 1, 18, 21, 23, 61, 62 }, { 1, 18, 36, 53, 62, 63, 64, 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 } ], [ { 6, 8, 9, 10 }, { 6, 7, 9 }, { 6, 7, 8 }, { 7, 9, 10 }, { 7, 8, 10 } ], [ { 11, 13, 14, 16 }, { 11, 12, 14, 15 }, { 11, 13, 15 }, { 12, 13, 15, 16 }, { 12, 14, 16 } ], [ { 18, 19, 20 }, { 17, 19, 20 }, { 17, 18, 20 }, { 17, 18, 19 } ], [ { 19, 21, 22 }, { 17, 19, 22 }, { 17, 21, 22 }, { 17, 19, 21 } ], [ { 23, 24, 25 }, { 1, 24, 25 }, { 1, 23, 25 }, { 1, 23, 24 } ], [ { 3, 25, 26 }, { 1, 25, 26 }, { 1, 3, 25 }, { 1, 3, 26 } ], [ { 3, 4, 26 }, { 1, 4, 26 }, { 1, 3, 26 }, { 1, 3, 4 } ], [ { 25, 26, 27 }, { 23, 25, 27 }, { 23, 26, 27 }, { 23, 25, 26 } ], [ { 26, 27, 28, 30 }, { 28, 29, 30 }, { 26, 28, 29 }, { 26, 27, 29 }, { 27, 29, 30 } ], [ { 6, 9, 31, 33 }, { 6, 7, 9 }, { 6, 7, 31, 32 }, { 7, 9, 32, 33 }, { 31, 32, 33 } ], [ { 6, 34, 35 }, { 6, 11, 14, 35 }, { 6, 11, 34 }, { 11, 14, 34 }, { 14, 34, 35 } ], [ { 1, 37, 38 }, { 1, 36, 38, 39 }, { 1, 34, 36, 37 }, { 34, 37, 38, 39 }, { 34, 36, 39 } ], [ { 11, 13, 14, 16 }, { 11, 14, 34 }, { 11, 13, 34 }, { 13, 16, 34 }, { 14, 16, 34 } ], [ { 41, 42, 44 }, { 40, 41, 44, 45 }, { 40, 41, 42, 43 }, { 42, 43, 44, 45 }, { 40, 43, 45 } ], [ { 18, 19, 21 }, { 17, 19, 21 }, { 17, 18, 19 }, { 17, 18, 21 } ], [ { 21, 22, 46 }, { 17, 22, 46 }, { 17, 21, 22 }, { 17, 21, 46 } ], [ { 29, 30, 47 }, { 23, 27, 30, 47 }, { 23, 29, 47 }, { 23, 27, 29 }, { 27, 29, 30 } ], [ { 23, 47, 48 }, { 21, 23, 48, 50 }, { 21, 23, 47, 49 }, { 47, 48, 49, 50 }, { 21, 49, 50 } ], [ { 23, 25, 26 }, { 1, 25, 26 }, { 1, 23, 25 }, { 1, 23, 26 } ], [ { 1, 26, 29 }, { 1, 4, 26 }, { 1, 4, 29, 51 }, { 26, 29, 51 }, { 4, 26, 51 } ], [ { 26, 27, 29 }, { 23, 26, 27 }, { 23, 27, 29 }, { 23, 26, 29 } ], [ { 11, 31, 33, 52 }, { 6, 9, 11, 52 }, { 6, 11, 31 }, { 6, 9, 31, 33 }, { 9, 33, 52 } ], [ { 11, 31, 54 }, { 31, 53, 54 }, { 11, 53, 54 }, { 11, 31, 53 } ], [ { 6, 11, 34 }, { 11, 34, 36 }, { 6, 34, 36 }, { 6, 11, 36 } ], [ { 13, 37, 55 }, { 1, 13, 55 }, { 1, 13, 37 }, { 1, 37, 55 } ], [ { 1, 13, 37 }, { 1, 13, 36 }, { 1, 34, 36, 37 }, { 13, 34, 37 }, { 13, 34, 36 } ], [ { 11, 13, 34 }, { 13, 34, 36 }, { 11, 13, 36 }, { 11, 34, 36 } ], [ { 40, 41, 42, 43 }, { 41, 42, 56, 57 }, { 40, 41, 56 }, { 40, 43, 56, 57 }, { 42, 43, 57 } ], [ { 40, 56, 58, 59 }, { 23, 40, 56 }, { 23, 56, 58 }, { 23, 58, 59 }, { 23, 40, 59 } ], [ { 21, 56, 60 }, { 21, 23, 58, 60 }, { 21, 23, 56 }, { 23, 56, 58 }, { 56, 58, 60 } ], [ { 18, 21, 46 }, { 17, 21, 46 }, { 17, 18, 46 }, { 17, 18, 21 } ], [ { 21, 23, 47, 49 }, { 23, 29, 47 }, { 21, 23, 29, 46 }, { 29, 46, 47, 49 }, { 21, 46, 49 } ], [ { 23, 26, 29 }, { 1, 26, 29 }, { 1, 23, 26 }, { 1, 23, 29 } ], [ { 6, 11, 36 }, { 11, 36, 53 }, { 6, 31, 36, 53 }, { 11, 31, 53 }, { 6, 11, 31 } ], [ { 11, 13, 36 }, { 1, 13, 36 }, { 1, 11, 36, 55 }, { 11, 13, 55 }, { 1, 13, 55 } ], [ { 21, 23, 61 }, { 21, 23, 56 }, { 23, 40, 56 }, { 23, 40, 61 }, { 40, 41, 61 }, { 21, 41, 56 }, { 40, 41, 56 }, { 21, 41, 61 } ], [ { 1, 18, 29, 46 }, { 1, 18, 21, 23 }, { 1, 23, 29 }, { 21, 23, 29, 46 }, { 18, 21, 46 } ], [ { 1, 11, 36, 55 }, { 1, 18, 36, 53 }, { 11, 18, 53, 55 }, { 11, 36, 53 }, { 1, 18, 55 } ], [ { 1, 18, 62 }, { 1, 18, 21, 23 }, { 1, 23, 61, 62 }, { 18, 21, 61, 62 }, { 21, 23, 61 } ], [ { 1, 18, 62 }, { 1, 18, 36, 53 }, { 18, 62, 65, 68 }, { 53, 63, 64, 68 }, { 36, 53, 63 }, { 1, 62, 66, 69 }, { 64, 65, 66, 67 }, { 62, 65, 66 }, { 63, 64, 67 }, { 36, 63, 67, 69 }, { 64, 65, 68 }, { 18, 53, 68 }, { 66, 67, 69 }, { 1, 36, 69 } ] ] /* Order of PGL_2(O) stabilizers of Voronoi top cells */ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 6, 1, 1, 1, 2, 1, 1, 1, 3, 1, 2, 3, 12 ] /* 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>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <2, 1>, <12, 1>, <2, 1>, <2, 1>, <2, 1>, <4, 1>, <2, 1>, <2, 1>, <2, 1>, <6, 2>, <2, 1>, <4, 1>, <6, 2>, <24, 3> ]