[Python] converting coordinates given in list of tuples to complex number

I have written the following code for calculating the closest pair in a plane. The code works fine but I have two questions. First, is there a shorter/better way to convert the representation of points from tuples to complex in the first function? and second, is the way I have passed the first function to the second function correct?

import sys

x = [1, 4]
y = [1, 5]


def to_complex(hor, ver):
list_of_points = list(zip(hor, ver))
list_of_points.sort(key=lambda el: (el[0], el[1]))
complex_points = [complex(item[0], item[1]) for item in list_of_points]
return complex_points


# Brute force algorithm.


def brute_force(points=to_complex(x, y)):
n = len(points)
if n < 2:
return sys.maxsize
else:
min_distance = sys.maxsize
for i in range(n):
for j in range(i + 1, n):
if abs(points - points[j]) < min_distance:
min_distance = abs(points - points[j])
closest_pair = (points, points[j])

return min_distance, closest_pair


print(brute_force())

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