/* Defining polynomial */ x^2 - x + 30 /* Minimal vectors */ [ , , <2*w + 7, -2*w + 3>, <-2*w + 11, -12>, <-2*w + 1, w - 8>, <3*w + 3, -2*w + 10>, , <-w + 20, -2*w - 12>, <-w + 5, -6>, <-3*w + 6, w - 14>, , , <-w + 4, -5>, <-w + 5, -5>, <-2*w + 9, -10>, <2*w + 9, -2*w + 3>, <-w + 14, -w - 9>, <-7*w + 4, 3*w - 27>, <3*w + 29, -5*w>, <-4*w + 33, -2*w - 27>, <7*w + 4, -4*w + 24>, <8, -w - 3>, <-3*w + 37, -3*w - 25>, <1, -1>, , , , <-w + 6, -8>, <8, -w - 5>, , <-w + 6, -7>, <9, -w - 5>, , <-2*w + 3, w - 9>, <-w + 12, -w - 9>, , , <9, -w - 4>, <1, 0>, , <-w + 6, -5>, <-w + 4, -4>, <2*w + 7, -2*w + 5>, , <-w + 3, -6>, <0, 1> ] /* Voronoi top cells */ [ { 1, 2, 3, 4 }, { 5, 6, 7, 8 }, { 5, 9, 10, 11 }, { 2, 4, 9, 12 }, { 13, 14, 15, 16 }, { 7, 14, 16, 17 }, { 13, 18, 19, 20 }, { 7, 18, 20, 21, 22, 23 }, { 24, 25, 26, 27, 28, 29 }, { 24, 26, 30, 31 }, { 1, 30, 31, 32 }, { 27, 29, 31, 33 }, { 1, 31, 33, 34 }, { 1, 2, 4, 9 }, { 5, 7, 8, 35 }, { 5, 35, 36, 37 }, { 5, 9, 11, 37 }, { 2, 9, 12, 38 }, { 2, 14, 24, 39, 40, 41 }, { 13, 14, 39, 42 }, { 7, 13, 14, 16 }, { 7, 22, 35, 36, 43 }, { 7, 13, 18, 20, 22 }, { 24, 26, 27, 29, 31 }, { 1, 24, 30, 31 }, { 1, 27, 31, 33 }, { 1, 2, 9, 24 }, { 5, 7, 35, 36 }, { 5, 9, 36, 37 }, { 2, 9, 24, 38 }, { 2, 14, 24, 38, 39 }, { 7, 14, 38, 39 }, { 7, 13, 14, 39 }, { 7, 13, 22, 36 }, { 1, 24, 27, 31 }, { 1, 9, 24, 36 }, { 5, 7, 9, 36 }, { 7, 9, 24, 38, 39 }, { 7, 13, 36, 39 }, { 1, 24, 27, 36 }, { 7, 9, 24, 36, 39 }, { 24, 27, 36, 44 }, { 24, 36, 39, 44, 45, 46 } ] /* 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 }, { 5, 10, 11 }, { 5, 9, 11 }, { 5, 9, 10 } ], [ { 4, 9, 12 }, { 2, 4, 12 }, { 2, 9, 12 }, { 2, 4, 9 } ], [ { 14, 15, 16 }, { 13, 15, 16 }, { 13, 14, 16 }, { 13, 14, 15 } ], [ { 14, 16, 17 }, { 7, 16, 17 }, { 7, 14, 17 }, { 7, 14, 16 } ], [ { 13, 19, 20 }, { 18, 19, 20 }, { 13, 18, 20 }, { 13, 18, 19 } ], [ { 7, 21, 22, 23 }, { 7, 18, 20, 22 }, { 7, 20, 21 }, { 18, 20, 21, 23 }, { 18, 22, 23 } ], [ { 24, 26, 27, 29 }, { 24, 25, 27, 28 }, { 24, 25, 26 }, { 25, 26, 28, 29 }, { 27, 28, 29 } ], [ { 26, 30, 31 }, { 24, 30, 31 }, { 24, 26, 31 }, { 24, 26, 30 } ], [ { 1, 31, 32 }, { 30, 31, 32 }, { 1, 30, 32 }, { 1, 30, 31 } ], [ { 29, 31, 33 }, { 27, 29, 33 }, { 27, 31, 33 }, { 27, 29, 31 } ], [ { 1, 31, 33 }, { 31, 33, 34 }, { 1, 33, 34 }, { 1, 31, 34 } ], [ { 2, 4, 9 }, { 1, 4, 9 }, { 1, 2, 4 }, { 1, 2, 9 } ], [ { 7, 8, 35 }, { 5, 8, 35 }, { 5, 7, 8 }, { 5, 7, 35 } ], [ { 35, 36, 37 }, { 5, 35, 37 }, { 5, 35, 36 }, { 5, 36, 37 } ], [ { 9, 11, 37 }, { 5, 11, 37 }, { 5, 9, 11 }, { 5, 9, 37 } ], [ { 9, 12, 38 }, { 2, 12, 38 }, { 2, 9, 12 }, { 2, 9, 38 } ], [ { 2, 24, 40 }, { 24, 39, 40, 41 }, { 2, 14, 24, 39 }, { 2, 14, 40, 41 }, { 14, 39, 41 } ], [ { 13, 14, 42 }, { 14, 39, 42 }, { 13, 14, 39 }, { 13, 39, 42 } ], [ { 7, 14, 16 }, { 13, 14, 16 }, { 7, 13, 16 }, { 7, 13, 14 } ], [ { 7, 22, 35, 43 }, { 22, 36, 43 }, { 7, 22, 36 }, { 7, 35, 36 }, { 35, 36, 43 } ], [ { 7, 13, 22 }, { 7, 18, 20, 22 }, { 13, 18, 22 }, { 13, 18, 20 }, { 7, 13, 20 } ], [ { 24, 27, 31 }, { 24, 26, 31 }, { 24, 26, 27, 29 }, { 27, 29, 31 }, { 26, 29, 31 } ], [ { 1, 30, 31 }, { 1, 24, 31 }, { 24, 30, 31 }, { 1, 24, 30 } ], [ { 1, 31, 33 }, { 27, 31, 33 }, { 1, 27, 33 }, { 1, 27, 31 } ], [ { 1, 2, 9 }, { 2, 9, 24 }, { 1, 9, 24 }, { 1, 2, 24 } ], [ { 7, 35, 36 }, { 5, 7, 35 }, { 5, 35, 36 }, { 5, 7, 36 } ], [ { 9, 36, 37 }, { 5, 9, 37 }, { 5, 36, 37 }, { 5, 9, 36 } ], [ { 2, 9, 38 }, { 9, 24, 38 }, { 2, 24, 38 }, { 2, 9, 24 } ], [ { 2, 24, 38 }, { 24, 38, 39 }, { 2, 14, 24, 39 }, { 14, 38, 39 }, { 2, 14, 38 } ], [ { 7, 14, 38 }, { 14, 38, 39 }, { 7, 38, 39 }, { 7, 14, 39 } ], [ { 7, 13, 14 }, { 7, 14, 39 }, { 13, 14, 39 }, { 7, 13, 39 } ], [ { 7, 13, 22 }, { 7, 22, 36 }, { 13, 22, 36 }, { 7, 13, 36 } ], [ { 1, 27, 31 }, { 1, 24, 31 }, { 24, 27, 31 }, { 1, 24, 27 } ], [ { 1, 9, 36 }, { 9, 24, 36 }, { 1, 9, 24 }, { 1, 24, 36 } ], [ { 7, 9, 36 }, { 5, 7, 9 }, { 5, 9, 36 }, { 5, 7, 36 } ], [ { 7, 38, 39 }, { 24, 38, 39 }, { 7, 9, 24, 39 }, { 9, 24, 38 }, { 7, 9, 38 } ], [ { 7, 13, 36 }, { 7, 13, 39 }, { 7, 36, 39 }, { 13, 36, 39 } ], [ { 1, 27, 36 }, { 1, 24, 36 }, { 24, 27, 36 }, { 1, 24, 27 } ], [ { 7, 36, 39 }, { 7, 9, 24, 39 }, { 24, 36, 39 }, { 7, 9, 36 }, { 9, 24, 36 } ], [ { 27, 36, 44 }, { 24, 36, 44 }, { 24, 27, 36 }, { 24, 27, 44 } ], [ { 24, 36, 44 }, { 24, 36, 39 }, { 36, 44, 45 }, { 36, 39, 45 }, { 24, 44, 46 }, { 39, 45, 46 }, { 44, 45, 46 }, { 24, 39, 46 } ] ] /* Order of PGL_2(O) stabilizers of Voronoi top cells */ [ 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 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>, <4, 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>, <4, 1>, <6, 2> ]