Generate Random Numbers Within A Seed

Relatively new to python so apologies for any terrible coding.

I'm using blender to create random stimuli sets using the sapling add on to create something like

I also want to define a random camera position and angle in a hemisphere above the plane which I do by producing two random numbers (u and v in my example below).

However, calling the py.ops.curve.tree_add function (which generates the tree) sets some kind of seed which means that the random numbers I produce are always the same.

E.g. in the example code it creates a range of different trees depending on the randint() generated for basesize/ basesplit.

However, for each unique tree these generate, the random numbers u and v are always the same. This means for every random tree I generate, the camera angle is specific for that tree (and not completely random)

I assume this occurs via some seed, so I was wondering if there is a way to tell python to generate a random number and ignore any seeds?

Best,

Example code: (import bpy is the python api module for blender)

### libraries
import bpy
from random import random, randint

u = random.uniform(0,1)
v = random.uniform(0,1)
obj = bpy.ops.curve.tree_add(bevel = True,
                                prune = True,
                                showLeaves = True,
                                baseSize = randint(1,10)/10,
                                baseSplits = randint(0,4))
print(u)
print(v)

in case it helps, my function to generate a sphere to place the camera and then point it towards the object is:

#generate the position of the new camera
def randomSpherePoint(sphere_centre, r, u, v):
    theta = 2 * pi * u
    phi = acos(2 * v - 1)
    x = centre[0] + (r * sin(phi) * cos(theta))
    y = centre[1] + (r * sin(phi) * sin(theta))
    z = fabs(centre[2] + (r * cos(phi)))
    return(x,y,z)

hemisphere_point = randomSpherePoint(centre, radius, u, v)
print(hemisphere_point)
#add a camera at this randomly generated hemispheric location
bpy.ops.object.camera_add(location = hemisphere_point)
the_camera = bpy.data.objects["Camera"]
#rotate the camera to the centre of the plane
camera_direction = centre - camera_location
camera_rotation = camera_direction.to_track_quat('-Z', 'Y')
the_camera.rotation_euler = camera_rotation.to_euler()