I'm stuck trying to get my colorbar to show the same colorspectrum as my scatterplot. Instead of the pink/purple to black spectrum of my colorgraded datapoints, it shows the default colors of a colorbar. I have read multiple other threads on here to no avail, but please alert me to a similar thread, if I have missed something that could solve my problem.

I have made a short code illustrating my problem:

import numpy as np
import matplotlib.pyplot as plt

rng = np.random.default_rng()
arr = np.arange(7000)
rng.shuffle(arr)
r = np.sqrt(np.random.random(7000))
theta = np.random.uniform(high = 2*np.pi, size = 7000)
X = np.array(r*np.cos(theta))
Y = np.array(r*np.sin(theta))

def values_to_colormap(values):
    values_scale = values/np.max(values)
    (a,) = np.shape(values)
    cmap = values_scale.reshape(a,1)*np.array([[0.6, 0.4, 0.6]])
    return cmap

points_colors = values_to_colormap(arr)

ps = plt.scatter(X,Y, marker = '.', color = points_colors)
plt.colorbar(ps, orientation='horizontal')
plt.axis('equal')
plt.show();