LDP triangles by Picard index at most 1000000

This record contains all LDP triangles (lattice triangles with primitive vertices and origin in their interior) up to Picard index \(10^6\). Equivalently, these are the fake weighted projective planes with Picard index at most \(10^6\). We use the HDF5 file format to store them. The triangles have been obtained using RationalPolygons.jl. Structure of the HDF5 file In the HDF5 file, the triangles are split into different datasets according to their Picard index. We use "pi" to denote the Picard index. For example, the triangles with Picard index \(115\) are located in the dataset "/pi115". Each dataset of triangles is one-dimensional with one entry per triangle. A triangle is stored using a compound datatype with \(6\) fields of integers. These integers are the vertices of the polygon stored in column major layout. For example, a triangle with vertices \((x_1,y_1), (x_2,y_2)\) and \((x_3,y_3)\) is stored as the tuple \((x_1,y_1,x_2,y_2,x_3,y_3)\). Moreover, the file contains the special dataset "numbers_of_polygons" that stores the numbers of polygons for each Picard index.