我使用了2个for循环来检查点是否在集合内，但显然这花费了太多的时间，在图本身上给出的细节较少。我如何优化代码以更快地运行，从而为图添加更多的细节？pygame原点在左上角，所以我手动设置每个点相对于中心的位置。

import math
import pygame

class Point:
    def __init__(self, x, y):
        self.x = x - 250
        self.y = y - 250

class Complex:
    def __init__(self, real, imaginary):
        self.real = real
        self.imaginary = imaginary

    def __eq__(self, other):
        if self.real == other.real:
            if self.imaginary == other.imaginary:
                return True
        return False

    def __abs__(self):
        return math.sqrt(self.real ** 2 + self.imaginary ** 2)

    def __round__(self, n=None):
        return Complex(round(self.real, 4), round(self.imaginary, 4))

    def __add__(self, other):
        return Complex(self.real + other.real, self.imaginary + other.imaginary)

    def __sub__(self, other):
        return Complex(self.real - other.real, self.imaginary - other.imaginary)

    def __mul__(self, other):
        return Complex((self.real * other.real) - (self.imaginary * other.imaginary),
                       (self.real * other.imaginary) + (self.imaginary * other.real))

def zheta(z, c):
    return round((z * z) + c, 3)

def mandelbrotNumber(num):
    z0 = Complex(0, 0)
    c = num
    checkList = [Complex(0, 0)]
    for i in range(10):
        z = zheta(z0, c)
        if abs(z) > 2:
            return False
        if z in checkList:
            return True
        checkList.append(z)
        z0 = z
    return True

def plotPoint(x, y):
    color = (0, 0, 0)
    position = (x, y)
    pygame.draw.circle(screen, color, position, 2)

pygame.init()
screen = pygame.display.set_mode((500, 500))
running = True
startPosX = (0, 250)
endPosX = (500, 250)
startPosY = (250, 0)
endPosY = (250, 500)

while running:
    for event in pygame.event.get():
        if event.type == pygame.QUIT:
            running = False
    screen.fill("white")
    for i in range(-200, 200):
        for j in range(-200, 200):
            number = Complex(i / 100, j / 100)
            if mandelbrotNumber(number):
                plotPoint((number.real*100) + 300, (number.imaginary*100) + 250)

    pygame.display.flip()
pygame.quit()

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