main.py

@@ -289,22 +289,24 @@ class PolyIntField:
         return idempotents
 
     def zero_divisors(self):
-        zero_divisors = []
+        zero_divisors = [[0]]
 
         for e in self.elements:
             if not e.is_empty():
                 for f in self.elements:
                     if not f.is_empty():
-                        if Poly.gcd((e * f), self.poly_modulo).is_empty():
+                        if (e * f % self.poly_modulo).elements == {}:
-                            zero_divisors.append(e)
+                            zero_divisors.append(
+                                list(reversed(list(e.elements.values()))))
+                            break
 
         return zero_divisors
 
     def __str__(self):
         str_form = "[\n\t"
-        str_form += str([]) + "\n\t"
+        str_form += str([]) + ",\n\t"
-        str_form += str([]) + "\n\t"
+        str_form += str(self.zero_divisors()) + ",\n\t"
-        str_form += str(self.nilpotents()) + "\n\t"
+        str_form += str(self.nilpotents()) + ",\n\t"
         str_form += str(self.idempotents()) + "\n"
         str_form += "]\n"
         return str_form
@@ -312,146 +314,8 @@ class PolyIntField:
 
 if __name__ == "__main__":
 
-
     pf = PolyIntField(2, [1, 1, 1])
     print(pf)
 
     poly_field = PolyIntField(3, [1, 1, 2, 2])
     print(poly_field)
-    # print(poly_field)
-    # y = pf.idempotents()
-    # for i in y:
-    #     print(i)
-    # y = Poly(3, [0, 1, 2])
-    # d = Poly(3, [1, 1, 2, 2])
-    # # print(y ** 2 % d)
-    # h = y ** 2
-    # print(h)
-    # print(h % d)
-    # for p in poly_field.elements:
-    #     print(p)
-    #     print(p.elements)
-    # print(len(poly_field.elements))
-    # a = Poly(3, [0, 0, 0])
-    # b = Poly(3, [1, 2])
-    # print((a * b).is_empty())
-
-    # x = Poly(5, [1, 0, 4, 0, 2, 1])
-    # y = Poly(5, [4, 0, 0, 0, 1])
-    # print(x % y)
-
-    # o = Poly(5, [1, 0, 1, 2, 2, 1])
-    # print(o)
-    #
-    # p = Poly(5, [4, 0, 0, 0, 1])
-    # print(p)
-    # print(o / p)
-
-    # n = Poly(5, [1, 0, 1])
-    # m = Poly(5, [2, 4])
-    # print(n / m)
-    # a = Poly(5, [1, 0, 4, 0, 2, 1, 0, 0])
-    # # print(a)
-    # b = Poly(5, [4, 0, 0, 0, 1])
-    # # print(b)
-    # # print(a + b)
-    # print(a % b)
-
-    # d = Poly(5, [3, 1, 4])
-    # # print(d)
-    # e = Poly(5, [4, 0, 0, 0, 1])
-    # # print(e)
-    # print(e / d)
-
-
-    # c = Poly(5, [4, 0, 0, 0, 1])
-    # d = Poly(5, [3, 1, 4, 0, 0, 0])
-    # print(c)
-    # print(d)
-    # print(c % d)
-
-    # e = Poly(10, [-4, 0, -2, 3])
-    # f = Poly(10, [-3, 1])
-    # print(e / f)
-    # print(e % f)
-    # print(f / e)
-    # print(f % e)
-    # print(e * f)
-    # print(f * e)
-    # print(e + f)
-    # print(f + e)
-    # print(e - f)
-    # print(f - e)
-    # print(e)
-    # print(f)
-    # print(Poly.gcd(e, f))
-
-    # a = Poly(5, [1, 0, 1, 0, 2, 1])
-    # b = Poly(5, [4, 0, 0, 0, 1])
-    # print(a)
-    # print(b)
-    # # print(Poly.gcd(a, b))
-    # print(a % b)
-    # c = a % b
-    # print(b % c)
-    # print(Poly.gcd(a, b))
-    # p = Poly(4, [6, 0, 8, 3])
-    # o = Poly(4, [7, 1])
-    # print(Poly.gcd(o, p))
-    # print(Poly.gcd(b, a))
-
-    # t = Poly(5, [1, 0, 4, 0, 2, 1])
-    # y = Poly(5, [4, 0, 0, 0, 1])
-    # print(Poly.gcd(t, y))
-
-
-
-
-
-    # print((a % b).elements)
-    # d = Poly(10, [2, 0, 6, 0, 1])
-    # e = Poly(10, [5, 0, 1])
-    # print(d / e)
-    # print(a - Poly(10, [0, 0, -3, 1]))
-    # p = Poly(5, [-4, 0, -2, 1])
-    # print(p)
-    # c = p * p
-    # print(c.elements)
-    # print(c)
-    # print(p ** 2)
-
-    # print(p)
-    # print(d)
-    # print(p)
-    # print(p + d)
-    # d = Poly(5, [-3, 1])
-    # g = Poly(5, [1, 2, 1])
-    # print(d)
-    # print(g)
-    # print()
-    #
-    # # print(g)
-    # print(g - d)
-    # print(d - g)
-    #
-    # print()
-    # print(d + g)
-    # print(g + d)
-    #
-    # print()
-    # print(d * g)
-    # print(g * d)
-    # print(d)
-    # print(g)
-    # print(g - d)
-    # print(p / d)
-    # print(p.elements[0])
-    # a = PolyIntField(3, [1, 1, 2, 2])
-    # for e in a.elements:
-    #     print(e.elements)
-
-    # print()
-    # print(a.elements[4])
-    # print(a.elements[8])
-    # print(a.elements[4] * a.elements[8])
-    # a.elements[3] / a.elements[1]