/* Defining polynomial */ x^2 - x + 15 /* Minimal vectors */ [ , , <-w + 4, -5>, <6, -w - 3>, , <1, 0>, <-w + 3, -4>, <-w + 3, -3>, , <6, -w - 2>, <-5*w + 5, 3*w - 17>, <5, -w - 3>, <3*w + 14, -5*w>, <-2*w + 19, -2*w - 17>, <1, -1>, , <-w + 4, -4>, , <-w + 2, -4>, , <-w + 3, -5>, <4, -w - 2>, <4, -w - 1>, <5, -w - 2>, <0, 1> ] /* Voronoi top cells */ [ { 1, 2, 3, 4, 5 }, { 6, 7, 8, 9, 10 }, { 1, 3, 11, 12, 13, 14 }, { 1, 2, 3, 4, 15, 16 }, { 6, 7, 9, 15, 16, 17 }, { 1, 3, 12, 15, 16, 18 }, { 6, 7, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25 } ] /* Faces of top cells */ [ [ { 1, 3, 5 }, { 1, 2, 5 }, { 1, 2, 3, 4 }, { 2, 4, 5 }, { 3, 4, 5 } ], [ { 6, 8, 9 }, { 6, 7, 9 }, { 6, 7, 8, 10 }, { 7, 9, 10 }, { 8, 9, 10 } ], [ { 1, 3, 12 }, { 1, 3, 11 }, { 1, 11, 13 }, { 1, 12, 13 }, { 11, 13, 14 }, { 12, 13, 14 }, { 3, 11, 14 }, { 3, 12, 14 } ], [ { 2, 4, 15, 16 }, { 1, 3, 15, 16 }, { 1, 2, 15 }, { 1, 2, 3, 4 }, { 3, 4, 16 } ], [ { 6, 9, 15, 17 }, { 6, 7, 15, 16 }, { 7, 9, 16, 17 }, { 6, 7, 9 }, { 15, 16, 17 } ], [ { 15, 16, 18 }, { 1, 3, 15, 16 }, { 1, 12, 15, 18 }, { 3, 12, 16, 18 }, { 1, 3, 12 } ], [ { 15, 16, 18 }, { 6, 7, 15, 16 }, { 16, 18, 21, 24 }, { 7, 19, 20, 24 }, { 6, 7, 19 }, { 20, 21, 22, 23 }, { 15, 18, 22, 25 }, { 18, 21, 22 }, { 19, 20, 23 }, { 6, 19, 23, 25 }, { 20, 21, 24 }, { 7, 16, 24 }, { 22, 23, 25 }, { 6, 15, 25 } ] ] /* Order of PGL_2(O) stabilizers of Voronoi top cells */ [ 1, 1, 6, 1, 2, 3, 12 ] /* GAP id of GL_2(O) stabilizers of Voronoi top cells */ [ <2, 1>, <2, 1>, <12, 4>, <2, 1>, <4, 1>, <6, 2>, <24, 3> ]