[Python] Jacobi Method on Python stopping at 3rd iteration [closed]

I am trying to code a jacobi algorithm w/o using matrices on python. The code I came up with looks fine but it stops at 3rd iteration even though the error is still pretty much large.

ps. I am not an experienced programmer. I'm only doing this because this is one of our projects for an engineering course.

from sympy import *
import numpy as np
f = Function('f')
x, y, z = symbols('x y z')
print("*note: Transpose the right hand side of the equation and do not use '=' signs")
#Equation 1
inputEq1 = input("Input Eq 1 [f(x,y,z)]: ")
eq1 = sympify(inputEq1)
solvedEq1 = solve(eq1, x)
print(solvedEq1)
def gx(n,m):
fx = lambdify((y,z), solvedEq1, 'numpy')
return fx(n,m)

#Equation 2
inputEq2 = input("Input Eq 2 [f(x,y,z)]: ")
eq2 = sympify(inputEq2)
solvedEq2 = solve(eq2, y)
print(solvedEq2)
def gy(n,m):
fy = lambdify((x,z), solvedEq2, 'numpy')
return fy(n,m)

#Equation 3
inputEq3 = input("Input Eq 3 [f(x,y,z)]: ")
eq3 = sympify(inputEq3)
solvedEq3 = solve(eq3, z)
print(solvedEq3)
def gz(n,m):
fz = lambdify((x,y), solvedEq3, 'numpy')
return fz(n,m)
#initial guesses
xinitial = float(input("Input initial guess (xi): "))
yinitial = float(input("Input initial guess (yi): "))
zinitial = float(input("Input initial guess (zi): "))

def convList(lst):
result =''
for i in lst:
result += str(i)
return float(result)
#Jacobi Algorithm
def jacobiMethod(gx, gy, gz, x, y, z, convList, erx = 2.2250738585072014e-308, ery = 2.2250738585072014e-308, erz = 2.2250738585072014e-308, maxiteration=1000):
xi = x
yi = y
zi = z
errorx = 100000
errory = 100000
errorz = 100000
k = 0
print("Iterations: ", k, ", x= ", xi, ", y= ", yi, ", z= ", zi, ", errorx: ", errorx, ", errory: ", errory, ", errorz: ", errorz)
while k<maxiteration and errorx>erx and errory>ery and errorz>erz:
xnew = convList(gx(yi,zi))
ynew = convList(gy(xi,zi))
znew = convList(gz(xi,yi))
errorx = abs(xnew - xi)
xi = xnew
errory = abs(ynew - yi)
yi = ynew
errorz = abs(znew - zi)
zi = znew
k = k+1
print("Iterations: ", k, ", x= ", xi, ", y= ", yi, ", z= ", zi, ", xnew= ", xnew, ", ynew= ", ynew, ", znew= ", znew, ", errorx: ", errorx, ", errory: ", errory,
", errorz: ", errorz)
return xi, yi, zi

print(jacobiMethod(gx, gy, gz, xinitial, yinitial, zinitial, convList))

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