Beal_Theory_Test_Program_and_Data_003

This is a program in python that can be used to determine the emperical collision rate of fermat quotients for a,b,c which we use to model the equation a^x + b^y = c^z, where a,b,c > 0, and coprime integers x,y,z >= 2 and integer. In addition a summary generated by the program 10^6 triples is included along with graphical comparisons to theory.Another program that determins the sets S from the obstruction poynomials, andA third program that interprets the S set data.本程序为Python程序，可用于计算针对a、b、c的费马商（Fermat quotients）的经验碰撞率，我们借助该程序对等式$a^x + b^y = c^z$进行建模，其中a、b、c均为正整数，x、y、z为大于等于2的互质整数。此外，还包含了该程序针对$10^6$组三元组生成的统计摘要，并附带了与理论结果的图形对比。另有一款程序可根据障碍多项式（obstruction polynomials）求解集合S，还有第三款程序用于解析该S集合的数据。