I need to create a bunch of new lists and assign each list a set of randomly generated numbers

I'm trying to make a genetic algorithm and as an early step I need to generate a bunch of new variables/lists, each with a string of varying random numbers (genotypes) assigned to them at their creation.

I can create the values but I'm having trouble figuring out how to assign those values to new variables/lists that I can then reference later.

I tried this:

pool = ['I1', 'I2', 'I3', 'I4', 'I5']

for individual in pool:
    genotype = [random.randint(1,11) for value in range (9)]
    print (f"{individual}'s genotype is {genotype}")

But that only generates a string of random integers one time for each pool item. And I can't figure out how to assign those values to a each variable for future use.

I need to be able to have I1 = one set of #'s and I2 = another and then be able to use that outside the loop.

I know this is probably an easy problem but I've looked all over (probably in the wrong places) and can't figure out how to solve it. Thanks for your help!