F.2 Python Code:

    import math

    count1 = 0
    count2 = 0

    for a in range(1,31):
    count1 = 0
    count2 = 0
        for x in range(-k,k+1):
            for y in range(-k,k+1): %x and y for filtration I
            if math.gcd(x,y) == 1:
                if math.gcd(x-a,y) == 1:
                    %checks if on intersection of circles
                    count1 += 1
            if math.gcd(x,y) == a:
                if math.gcd(x-1,y) == 1:
                    %checks if on intersection of circles
                    count2 += 1
            print(a, count1/count2)