Original VQC code

To create the grid, attached is a c# file.
There is a method that constructs the grid.
There is an output method.
Please specify a path to save output to.
Next, we will look at some properties of the grid and also examine the all important first row.
The code is below. Cut and pasted.
//
using System;
using System.Collections.Generic;
using System.IO;
namespace IntegerFactorisation
{
    public class TheEnd
    {
        public static string path = "";//PUT YOUR FILE PATH HERE
        public static Dictionary<int, Dictionary<int, List<string>>> theend = new Dictionary<int, Dictionary<int, List<string>>>();

        public static void CreateTheEnd(int i_max = 512, int x_min = 0, int y_min = 0, int x_max = 64, int y_max = 64)
        {
            for (int i = 0; i < i_max; i++)
            {
                for (int j = 0; j < i; j++)
                {
                    int a = i - j;
                    int b = i + j;
                    int c = a * b;
                    bool odd = c % 2 == 1;
                    int d = (int)Math.Sqrt(c);
                    int e = c - (d * d);
                    int f = e - ((2 * d) + 1);
                    int n = i - d;
                    int x = d - a;
                    if (!theend.ContainsKey(e)) theend[e] = new Dictionary<int, List<string>>();
                    if (!theend[e].ContainsKey(n))
                    {
                        theend[e][n] = new List<string>();

                    }
                    if (!theend.ContainsKey(f)) theend[f] = new Dictionary<int, List<string>>();
                    if (!theend[f].ContainsKey(n - 1)) theend[f][n - 1] = new List<string>();
                    string text = "{" + string.Format("{0}:{1}:{2}:{3}:{4}:{5}", e, n, d, x, a, b) + "}";
                    theend[e][n].Add(text);
                    text = "{" + string.Format("{0}:{1}:{2}:{3}:{4}:{5}", f, n - 1, d + 1, x + 1, a, b) + "}";
                    theend[f][n - 1].Add(text);
                }
            }
        }
        public static void Output(int i_max = 256, int x_min = -64, int y_min = 0, int x_max = 64, int y_max = 64, int set_size = 12)
        {
            TextWriter tw = File.CreateText(path + "output.csv");
            for (int y = 0; y < y_max; y++)
            {
                for (int z = 0; z < set_size; z++)
                {
                    for (int x = x_min; x < x_max; x++)
                    {
                        if (theend.ContainsKey(x) && theend[x].ContainsKey(y) && theend[x][y].Count > z)
                        {
                            tw.Write(theend[x][y][z] + ",");
                        }
                        else
                        {
                            tw.Write(",");
                        }
                    }
                    tw.WriteLine("");
                }
            }
            tw.Close();
        }
    }
}