MO405101: lines through (c^m, c^n)

MO405101.sage

from collections import defaultdict
from itertools import combinations
from sage.rings.polynomial.real_roots import real_roots

R.<alpha, x, y> = PolynomialRing(QQ, order='lex')
S.<z> = PolynomialRing(QQ)

def P(n, p, q):
    return ((1 - x^p) + alpha * (x^n - x^q)) // (1 - x^gcd(p, abs(n-q)))


N = 20
for n in range(1, N):
    print("n = " + str(n))
    clusters = defaultdict(set)

    # p != 0 and q != n because otherwise all roots are either 0 or roots of unity
    pqs = [(p, q) for p in range(1, N) for q in range(N) if q != n]

    for (p1, q1), (p2, q2) in combinations(pqs, 2):
        if p1 == p2 or q1 == q2:
            # Similarly, in either of these cases all roots are 0 or roots of unity
            continue

        P1 = P(n,p1,q1)
        P2 = P(n,p2,q2)
        I = ideal(P1, P2)
        if not I.is_trivial():
            for prime_ideal in I.minimal_associated_primes():
                if (x + 1) in prime_ideal or (x - 1) in prime_ideal:
                    continue

                if (1 + alpha * x^n) in prime_ideal:
                    # The line passes through (0,0)
                    continue

                # Check for a univariate polynomial in x in the basis which has no real roots greater than 1
                if any(Q == Q.substitute({alpha: y}) and not real_roots(Q.substitute({x: z}), bounds = (1, 10^100)) for Q in prime_ideal.basis):
                    continue

                # In general the first element of the basis will be the minimal polynomial of c and the second element will give alpha in terms of c.
                # If the basis has two elements, we're looking for equality.
                # Otherwise we have an interesting case, and we flag it explicitly.
                if len(prime_ideal.basis) == 1:
                    print("!!", n, p1, q1, p2, q2, prime_ideal.basis)
                elif len(prime_ideal.basis) == 2:
                    # We have c^0 + alpha c^n = c^p1 + alpha c^q1 = c^p2 + alpha c^q2
                    clusters[prime_ideal].add((0, n))
                    clusters[prime_ideal].add((p1, q1))
                    clusters[prime_ideal].add((p2, q2))

    for prime_ideal, params in clusters.items():
        if len(params) > 3:
            print("Cluster size", len(params), prime_ideal.basis, params)

    print("")

results.log

n = 1
('Cluster size', 4, (x^8 - x - 1, alpha + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - 2*x^4 - 2*x^3 - 2*x^2 - x - 1), set([(0, 1), (3, 2), (15, 8), (18, 10)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^4 + x^3), set([(0, 1), (7, 4), (16, 9), (9, 5)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + 2*x^4 + x^2 + 1), set([(0, 1), (8, 3), (6, 2), (14, 8)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^8 + x^7 + x^6 + x^5 - x^3 - 2*x^2 - x - 1), set([(0, 1), (3, 2), (14, 8), (11, 6)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + x^9 + 2*x^8 + x^7 + 2*x^6 - x^3 - 2*x - 1), set([(0, 1), (18, 10), (13, 7), (5, 3)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^8 + x^7 + x^6 - x^5 - x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(0, 1), (8, 17), (4, 12), (1, 6)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + x^6 + x^4 - x^3 + x^2 - x), set([(0, 1), (4, 2), (10, 5), (14, 8)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 + x^3 + 1), set([(0, 1), (7, 3), (16, 9), (9, 4)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^8 + x^7 + x^6 + x^5 - x^2 - x - 1), set([(0, 1), (7, 4), (11, 6), (18, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + x), set([(0, 1), (3, 2), (8, 5), (5, 3)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha + 2*x^4 - x^3 + x^2 - 3), set([(0, 1), (4, 10), (6, 13), (1, 4)]))
('Cluster size', 4, (x^4 - x - 1, alpha + x - 1), set([(0, 1), (3, 8), (1, 4), (5, 11)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, 5*alpha + 6*x^6 - x^5 + 7*x^4 - 8*x^3 - 2*x^2 - 4*x - 1), set([(0, 1), (9, 19), (3, 9), (4, 11)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^4 + x^2), set([(0, 1), (9, 5), (14, 8), (5, 3)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, alpha + 2*x^10 + 4*x^9 + 3*x^8 + 3*x^7 + x^6 - x^5 - x^4 - 4*x^3 - 5*x^2 - 5*x - 3), set([(0, 1), (9, 19), (2, 6), (6, 14)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^8 + 2*x^7 + x^6 - x^2 - 3*x - 2), set([(0, 1), (8, 17), (5, 12), (2, 6)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1), set([(0, 1), (11, 4), (7, 2), (18, 10)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + 2*x^6 + x^5 - x^4 - 2*x^3 - x^2 - 2*x - 2), set([(0, 1), (2, 8), (9, 19), (4, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, 13*alpha + 7*x^4 + 12*x^3 + 3*x^2 - 16*x - 11), set([(0, 1), (2, 7), (9, 19), (5, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, 2*alpha + x^6 + x^5 + x^4 - 2*x^3 - 3*x^2 - 2*x - 3), set([(0, 1), (8, 17), (3, 11), (1, 7)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha + 3*x^2 + x - 6), set([(0, 1), (1, 5), (3, 9), (6, 13)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^4 + x^3 + x), set([(0, 1), (5, 2), (14, 8), (9, 4)]))
('Cluster size', 4, (x^5 - x^2 - 1, 3*alpha + 2*x^4 + x^3 - x^2 - 4*x + 1), set([(0, 1), (2, 7), (3, 9), (7, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, 7*alpha + 10*x^10 - 3*x^9 + 6*x^8 + x^7 + 9*x^6 - 12*x^5 - 2*x^4 - 11*x^3 - 6*x^2 - 14*x - 10), set([(0, 1), (1, 5), (9, 19), (6, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^10 + x^8 + x^6 - x^5 - 2*x^3 - x), set([(0, 1), (4, 2), (14, 7), (18, 10)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^7 - x^6 + 2*x^5 - x^4 - x - 1), set([(0, 1), (5, 12), (7, 15), (1, 4)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, 5*alpha + 6*x^6 - 7*x^5 + 2*x^4 - 8*x^3 + 3*x^2 - 9*x - 1), set([(0, 1), (9, 19), (2, 11), (1, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x^2 + 3*x + 1), set([(0, 1), (12, 5), (6, 2), (18, 10)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^10 + x^9 + x^8 + x^7 + x^6 - x^4 - 2*x^3 - 2*x^2 - x - 1), set([(0, 1), (16, 9), (3, 2), (13, 7)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 2*x^2 + 1), set([(0, 1), (4, 2), (6, 3), (10, 6)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + 2*x^8 + 4*x^7 + 4*x^6 + x^5 - x^4 - 2*x^3 - 4*x^2 - 4*x - 3), set([(0, 1), (3, 8), (5, 12), (9, 19)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, 5*alpha + 2*x^4 - 4*x^3 + 6*x^2 - 3*x - 2), set([(0, 1), (1, 5), (7, 15), (4, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 - x - 2), set([(0, 1), (2, 6), (4, 9), (1, 4)]))
('Cluster size', 4, (x^4 - x - 1, alpha + x^4 + x^3 - 1), set([(0, 1), (7, 4), (3, 2), (10, 6)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^9 + x^8 + x^6 - x^5 - x^4 - x^3 - 3*x^2 - 2*x - 2), set([(0, 1), (5, 14), (9, 19), (1, 6)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^6 + x^5), set([(0, 1), (8, 3), (10, 4), (18, 10)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 + x^4), set([(0, 1), (7, 3), (18, 10), (11, 5)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^6 - x^5 - x^4 - 2*x^3 - x^2 - 2*x - 2), set([(0, 1), (8, 17), (1, 8), (2, 10)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 - x), set([(0, 1), (3, 8), (2, 6), (6, 13)]))
('Cluster size', 4, (x^3 - x - 1, 7*alpha + 8*x^2 - 2*x - 11), set([(0, 1), (4, 13), (9, 19), (1, 7)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 + x^3), set([(0, 1), (7, 3), (12, 7), (5, 2)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, 4*alpha + 3*x^6 + x^5 - x^4 - 2*x^3 - 2*x^2 - 5*x + 1), set([(0, 1), (9, 19), (3, 11), (2, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 + x), set([(0, 1), (4, 2), (12, 7), (8, 4)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + 2*x^5 - x^3 - 2*x), set([(0, 1), (2, 7), (8, 17), (4, 11)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + 2*x^6 + x^5 + 2*x^4 - x^3 - 2*x^2 - x - 2), set([(0, 1), (3, 8), (8, 17), (4, 10)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha + 4*x^2 - 5*x - 1), set([(0, 1), (1, 5), (2, 7), (5, 11)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + 2*x^4 - x^3 - x^2 - 2*x - 2), set([(0, 1), (2, 8), (1, 6), (6, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + x^6 - x^3 - x^2 - x - 1), set([(0, 1), (16, 9), (6, 2), (10, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + 2*x^3 - 1), set([(0, 1), (6, 3), (12, 6), (18, 10)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^8 + x^7 + x^6 - x^4 - x^3 - 2*x^2 - 2*x - 1), set([(0, 1), (16, 9), (5, 2), (11, 5)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 + x^5), set([(0, 1), (16, 9), (9, 3), (7, 2)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 2*x^4 - 2*x^2 - x - 2), set([(0, 1), (3, 10), (1, 6), (7, 15)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, 2*alpha + 2*x^6 - x^4 + x^3 - 2*x - 3), set([(0, 1), (1, 5), (8, 17), (5, 13)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^10 + x^9 + x^8 + x^7 - x^5 - 2*x^4 - 2*x^3 - 3*x^2 - 2*x - 1), set([(0, 1), (13, 6), (5, 2), (18, 10)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^6 + x^5 + x^4 - x^2 - x - 1), set([(0, 1), (9, 5), (3, 2), (12, 7)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^10 + x^8 + x^7 - 2*x^3 - x^2 - x - 2), set([(0, 1), (8, 17), (1, 4), (6, 14)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + 2*x^6 + x^4 + x^2 + 1), set([(0, 1), (10, 3), (8, 2), (18, 10)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 + x^2), set([(0, 1), (7, 4), (12, 7), (5, 3)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^7 + x^6 + x^5 - x - 1), set([(0, 1), (16, 9), (11, 6), (5, 3)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^4 + x^3), set([(0, 1), (6, 3), (14, 8), (8, 4)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^3 - x^2 - x + 1), set([(0, 1), (2, 8), (3, 10), (8, 17)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^6 + 3*x^5 + 2*x^4 - x^3 - 2*x^2 - 3*x - 2), set([(0, 1), (4, 10), (2, 6), (7, 15)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - 2*x^3 - 2*x^2 - x - 2), set([(0, 1), (1, 8), (9, 19), (3, 12)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^6 + x^2), set([(0, 1), (4, 2), (12, 6), (16, 9)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^5 + x^3), set([(0, 1), (6, 3), (10, 5), (16, 9)]))
('Cluster size', 4, (x^8 - x - 1, 4*alpha + 4*x^10 - x^9 + x^8 + 4*x^7 - 2*x^6 + 2*x^5 - 6*x^3 - x^2 - 7), set([(0, 1), (9, 19), (7, 16), (1, 4)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^5 + x^4), set([(0, 1), (10, 5), (18, 10), (8, 4)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, 4*alpha + 5*x^4 - 6*x^3 + 2*x^2 - 7*x - 1), set([(0, 1), (7, 15), (2, 9), (1, 7)]))

n = 2
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^3 + x^2 + 1), set([(9, 5), (14, 9), (0, 2), (5, 3)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, 2*alpha - 3*x^6 + 2*x^5 - x^3 + x^2 + 3*x + 1), set([(5, 14), (1, 6), (0, 2), (8, 18)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^3 + x^2), set([(7, 4), (12, 8), (0, 2), (5, 3)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^9 + x^5 + x^4 + x^3 + x^2 + x), set([(12, 7), (0, 2), (4, 3), (16, 10)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^8 + x^5 + x^4 + x^3 + 2*x^2 + x), set([(16, 10), (0, 2), (11, 6), (5, 3)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 3*x^8 - x^7 - 2*x^6 - 2*x^5 + 2*x^4 + 2*x^3 + 4*x^2 + 4*x + 3), set([(1, 5), (7, 16), (0, 2), (5, 13)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + x^2 + x), set([(10, 7), (6, 4), (0, 2), (4, 3)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, 5*alpha - 7*x^6 + 7*x^5 - 9*x^4 + 11*x^3 - 6*x^2 + 15*x - 3), set([(7, 16), (4, 12), (1, 6), (0, 2)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 2*x^2 + 2*x + 1), set([(2, 7), (1, 5), (0, 2), (4, 10)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^5 + x^4 + 2*x^3 + x^2 + x + 1), set([(6, 3), (10, 5), (0, 2), (16, 10)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^5 + x^4), set([(10, 5), (18, 11), (0, 2), (8, 4)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + x^5 + x^3 - x^2 + x - 1), set([(14, 9), (10, 6), (0, 2), (4, 3)]))
('Cluster size', 4, (x^4 - x - 1, alpha + x^2 + 1), set([(10, 7), (7, 5), (0, 2), (3, 3)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - x^10 + x^6 + x^5 + x^4 + x^3 + 2*x^2), set([(13, 7), (18, 11), (0, 2), (5, 3)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^4 + x^3), set([(18, 11), (10, 6), (8, 5), (0, 2)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, 2*alpha - 3*x^6 + x^5 + x^4 + 4*x^3 + x^2 + 1), set([(1, 8), (3, 12), (0, 2), (8, 18)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 2*x^8 - 3*x^7 - 2*x^6 - x^5 + 2*x^3 + 4*x^2 + 5*x + 1), set([(2, 7), (8, 18), (0, 2), (5, 13)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^10 + x^5 + x^4 + x^3 + 1), set([(16, 10), (0, 2), (13, 8), (3, 3)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^4 + x^3), set([(6, 3), (14, 9), (0, 2), (8, 4)]))
('Cluster size', 4, (x^6 - x - 1, alpha - x^8 + x^4 + x^3 + x^2 + 1), set([(11, 7), (14, 9), (0, 2), (3, 3)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 + 2*x^2 + x + 1), set([(6, 4), (12, 7), (18, 11), (0, 2)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - 2*x^6 - x^4 + 2*x^3 + x^2 + 1), set([(3, 9), (0, 2), (4, 11), (8, 18)]))
('Cluster size', 4, (x^7 - x - 1, alpha - 2*x^10 - x^9 - 2*x^8 - x^7 - x^6 + 2*x^4 + 4*x^3 + 2*x^2 + 3*x + 3), set([(1, 5), (6, 15), (0, 2), (8, 18)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^2 + x), set([(5, 4), (7, 5), (0, 2), (12, 8)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^6 + 2*x^5 + x^4 + x^3 + x), set([(8, 18), (2, 11), (0, 2), (1, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x + 1), set([(8, 5), (0, 2), (4, 3), (12, 8)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^6 + x^5), set([(8, 3), (18, 11), (0, 2), (10, 4)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha - 6*x^2 + 3*x + 7), set([(3, 10), (1, 6), (0, 2), (6, 14)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 2*x^2 - 2*x - 1), set([(3, 11), (7, 16), (0, 2), (1, 7)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - x^8 - 2*x^7 - x^6 + x^4 + x^3 + 2*x^2 + 3*x + 1), set([(11, 7), (5, 4), (0, 2), (16, 10)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - 2*x^6 - 3*x^5 + x^4 + 2*x^3 + x^2 + 2*x + 1), set([(2, 7), (7, 16), (0, 2), (4, 11)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, 4*alpha - x^4 + 6*x^3 - 6*x^2 + 3*x - 7), set([(1, 8), (7, 16), (0, 2), (2, 10)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 + x^3), set([(7, 4), (18, 11), (0, 2), (11, 6)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 - x^6 + x^4 + x^3 + 2*x^2 + x + 1), set([(11, 7), (7, 5), (18, 11), (0, 2)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^3 + x), set([(14, 9), (5, 4), (9, 6), (0, 2)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 + x^6 + x^5 + 2*x^4 + x^3 + x^2 + x + 1), set([(7, 3), (18, 11), (0, 2), (11, 5)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 + x^4), set([(7, 3), (0, 2), (9, 4), (16, 10)]))
('Cluster size', 4, (x^8 - x - 1, alpha - x^12 + x^6 + x^5 + x^4 + 1), set([(15, 9), (18, 11), (0, 2), (3, 3)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 + x^3 + x^2 + x + 1), set([(12, 8), (9, 6), (0, 2), (3, 3)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 + x^3), set([(7, 4), (9, 5), (0, 2), (16, 10)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha - 3*x^4 + 2*x^3 - x^2 + x + 3), set([(1, 5), (0, 2), (4, 11), (6, 14)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + 3*x + 2), set([(6, 3), (18, 11), (0, 2), (12, 6)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - x^9 + x^7 + 2*x^5 + x^3 + 2*x - 1), set([(5, 4), (18, 11), (0, 2), (13, 8)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 - x - 1), set([(8, 18), (0, 2), (2, 9), (3, 11)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + 2*x^4 - x^2 - 2), set([(2, 8), (4, 12), (0, 2), (8, 18)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha - x^2 + 5*x - 5), set([(2, 8), (5, 12), (1, 6), (0, 2)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x + 1), set([(8, 6), (5, 4), (0, 2), (3, 3)]))
('Cluster size', 4, (x^5 - x^2 - 1, 3*alpha + x^4 + 2*x^3 + x^2 - 2*x - 4), set([(2, 8), (3, 10), (7, 16), (0, 2)]))
('Cluster size', 4, (x^4 - x - 1, alpha - x^3 + 2), set([(1, 5), (5, 12), (3, 9), (0, 2)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^9 + x^7 + x^5 - x^4 - 2*x^2 - 1), set([(18, 11), (0, 2), (4, 3), (14, 8)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^3 + x^2), set([(6, 4), (14, 9), (8, 5), (0, 2)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^3 + x^2), set([(7, 5), (9, 6), (0, 2), (16, 10)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^4 + x^2), set([(6, 4), (10, 6), (0, 2), (16, 10)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^2 - 1), set([(2, 7), (3, 9), (0, 2), (6, 14)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 2*x^8 - x^7 - x^6 + x^5 + x^4 + 3*x^3 + 4*x^2 + 4*x + 2), set([(4, 13), (8, 18), (0, 2), (1, 7)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - 2*x^4 + 2*x^3 + x^2 + x), set([(6, 14), (0, 2), (2, 9), (1, 7)]))

n = 3
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^3 + x^2), set([(10, 7), (8, 6), (0, 3), (18, 12)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^3 + x), set([(11, 8), (0, 3), (7, 6), (18, 12)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^8 + x^4 + x^3 + x^2 + x + 1), set([(0, 3), (4, 4), (16, 11), (12, 8)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha - 5*x^2 + 4*x + 5), set([(0, 3), (5, 13), (2, 9), (1, 7)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - x^2 - x - 1), set([(7, 4), (0, 3), (18, 12), (11, 6)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^5 + x^3 - 1), set([(11, 8), (0, 3), (14, 10), (3, 4)]))
('Cluster size', 4, (x^5 - x^2 - 1, 3*alpha - 4*x^4 + x^3 + 2*x^2 + 5*x - 2), set([(0, 3), (3, 11), (2, 9), (7, 17)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^3 + 1), set([(11, 8), (0, 3), (16, 11), (5, 5)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 - x^3 + 2*x + 1), set([(2, 8), (0, 3), (6, 15), (3, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - 2*x + 1), set([(2, 8), (0, 3), (1, 6), (4, 11)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 4*x^4 + 2*x^3 - x^2 - 4*x - 6), set([(0, 3), (1, 6), (3, 10), (5, 13)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 + x^2), set([(11, 7), (0, 3), (7, 5), (18, 12)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^7 + x^4 + x^3 + x^2 + 2*x + 1), set([(11, 7), (0, 3), (16, 11), (5, 4)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^5 + 2*x^4 + x^3 + x^2 + 1), set([(1, 10), (0, 3), (8, 19), (2, 12)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^8 - x^6 - x^5 - x^4 - x^3 + x + 3), set([(5, 14), (2, 8), (0, 3), (8, 19)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^4 - 2*x^3 + x^2 + 2*x - 3), set([(0, 3), (3, 12), (1, 8), (7, 17)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha + 3*x^4 - 3*x^3 + 2*x^2 - x - 2), set([(6, 15), (0, 3), (4, 12), (1, 6)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^4 + x^3), set([(0, 3), (10, 6), (8, 5), (18, 12)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^6 - 2*x^4 + x^3 + x^2 - x), set([(2, 8), (0, 3), (4, 12), (7, 17)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + 2*x^8 + x^6 - x^5 - x^4 - 3*x^3 - 3*x^2 - 2*x), set([(8, 19), (0, 3), (1, 8), (4, 14)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + 1), set([(8, 6), (0, 3), (4, 4), (12, 9)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, 4*alpha - 7*x^4 + 6*x^3 + 6*x^2 + x + 3), set([(0, 3), (2, 11), (1, 9), (7, 17)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 + x + 1), set([(6, 4), (0, 3), (12, 7), (18, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x + 1), set([(0, 3), (7, 6), (12, 9), (5, 5)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^2 + x), set([(8, 6), (0, 3), (14, 10), (6, 5)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - x^6 + x^3 + x^2 + x + 2), set([(10, 7), (0, 3), (4, 4), (14, 10)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^2 + x), set([(0, 3), (7, 5), (12, 9), (5, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + x), set([(0, 3), (18, 12), (6, 5), (12, 8)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^3 + x), set([(10, 7), (0, 3), (16, 11), (6, 5)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 + x^4 - x^3 + x^2 - 1), set([(8, 19), (0, 3), (4, 12), (3, 10)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^2 + x), set([(0, 3), (16, 11), (7, 6), (9, 7)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^2 + 1), set([(0, 3), (14, 10), (5, 5), (9, 7)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^10 + x^8 + x^7 + x^6 - x^3 - x^2 - 2*x - 2), set([(13, 9), (0, 3), (3, 4), (16, 11)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - x^9 + x^5 + x^4 + x^3 + x^2 + 2*x), set([(0, 3), (5, 4), (13, 8), (18, 12)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 + x^3), set([(7, 4), (9, 5), (0, 3), (16, 11)]))
('Cluster size', 4, (x^7 - x - 1, alpha + 3*x^10 + x^9 + 2*x^8 + x^7 + 2*x^6 - x^5 - 3*x^4 - 4*x^3 - 2*x^2 - 4*x - 3), set([(8, 19), (0, 3), (1, 6), (6, 16)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, 5*alpha - 3*x^6 - 7*x^5 + 4*x^4 - 6*x^3 + 11*x^2 + 18), set([(4, 13), (0, 3), (7, 17), (1, 7)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^6 + x^4 - x - 1), set([(12, 9), (0, 3), (3, 4), (9, 7)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - 2*x^5 + 2*x^3 + x), set([(4, 13), (0, 3), (8, 19), (2, 9)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha + 7*x^2 - 6*x - 4), set([(0, 3), (6, 15), (3, 11), (1, 7)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, 2*alpha + x^6 - 3*x^5 + x^4 + 3*x^2 - 1), set([(8, 19), (0, 3), (1, 9), (3, 13)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + x + 1), set([(10, 8), (0, 3), (4, 4), (6, 5)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 3*x^8 + 2*x^6 + x^5 - 2*x^4 - x^3 - 4*x^2 - 2*x - 2), set([(5, 14), (0, 3), (1, 6), (7, 17)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 + x^3 + x^2 - 1), set([(0, 3), (3, 12), (8, 19), (2, 10)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^4 + x - 1), set([(0, 3), (14, 10), (9, 6), (5, 4)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - 2*x^3 + 2*x^2 + x + 1), set([(0, 3), (6, 15), (1, 8), (2, 10)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^5 + x^4), set([(18, 12), (0, 3), (10, 5), (8, 4)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, 2*alpha + x^6 - 3*x^5 + 2*x^4 - x^2 + 2), set([(0, 3), (5, 15), (8, 19), (1, 7)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^3 - x - 1), set([(6, 4), (0, 3), (10, 6), (16, 11)]))
('Cluster size', 4, (x^8 - x - 1, alpha + x^12 + x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - 2*x^2 - 2*x - 2), set([(0, 3), (3, 4), (18, 12), (15, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2), set([(0, 3), (3, 4), (5, 5), (8, 7)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^10 + x^5 + x^4 + x^3 + x^2 + 1), set([(0, 3), (4, 4), (14, 9), (18, 12)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 2*x^4 + x^3 - x - 3), set([(10, 8), (0, 3), (3, 4), (7, 6)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^3 + x^2), set([(6, 4), (0, 3), (14, 10), (8, 5)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - x^9 - 2*x^8 - x^7 + 2*x^4 + x^3 + 2*x^2 + 2*x + 3), set([(13, 9), (0, 3), (5, 5), (18, 12)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^3 + x^2), set([(0, 3), (7, 5), (9, 6), (16, 11)]))

n = 4
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^4 + 1), set([(13, 9), (18, 13), (5, 5), (0, 4)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x + 1), set([(9, 8), (16, 12), (7, 7), (0, 4)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 + x), set([(10, 7), (16, 12), (6, 5), (0, 4)]))
('Cluster size', 4, (x^7 - x - 1, alpha - 2*x^10 - x^9 - 2*x^8 - x^7 - x^6 + x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 2), set([(3, 5), (13, 10), (16, 12), (0, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 - x^2 - x + 1), set([(6, 16), (3, 11), (2, 9), (0, 4)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 2*x^8 + x^7 - 2*x^6 + x^4 + 3*x^2 + 2), set([(1, 7), (7, 18), (5, 15), (0, 4)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 + x^2), set([(11, 7), (18, 13), (7, 5), (0, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + x^3 - x), set([(5, 6), (12, 10), (7, 7), (0, 4)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^2 + 1), set([(18, 13), (11, 9), (7, 7), (0, 4)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^4 + x^3), set([(18, 13), (10, 6), (8, 5), (0, 4)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + x^2 - x + 1), set([(4, 5), (6, 6), (10, 9), (0, 4)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^9 + x^8 + x^6 - x^4 - x^3 - 2*x^2 - 2*x - 1), set([(4, 5), (16, 12), (12, 9), (0, 4)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, 5*alpha + 18*x^6 - 3*x^5 + 11*x^4 - 14*x^3 - 6*x^2 - 25*x - 18), set([(1, 8), (4, 14), (7, 18), (0, 4)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^2 + 1), set([(10, 8), (6, 6), (16, 12), (0, 4)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^3 + x^2), set([(10, 7), (8, 6), (18, 13), (0, 4)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 - x^4 + x^3 + x^2 + 2*x + 1), set([(12, 10), (9, 8), (3, 5), (0, 4)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 3*x^4 + x^3 + x^2 + x + 5), set([(3, 13), (1, 9), (7, 18), (0, 4)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^3 + 1), set([(11, 8), (16, 12), (5, 5), (0, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 + 1), set([(18, 13), (6, 6), (12, 9), (0, 4)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 2*x^8 - x^7 - 2*x^6 - x^5 + x^4 + 2*x^3 + 4*x^2 + 3*x + 3), set([(14, 11), (3, 5), (11, 9), (0, 4)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^2 + x), set([(14, 11), (8, 6), (6, 5), (0, 4)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 + 2*x^8 + x^7 + 2*x^6 - x^3 - 2*x^2 - 4*x - 1), set([(5, 6), (18, 13), (13, 10), (0, 4)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^5 - 2*x^3 + x^2 + x - 1), set([(4, 13), (7, 18), (2, 9), (0, 4)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x + 1), set([(14, 11), (6, 6), (8, 7), (0, 4)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 1), set([(3, 2), (4, 0), (2, 3), (0, 4)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 - 3*x^2 + x), set([(6, 16), (2, 11), (1, 9), (0, 4)]))
('Cluster size', 4, (x^8 - x - 1, alpha - 2*x^12 - x^11 - 2*x^10 - x^9 - x^8 - x^7 + x^6 + 2*x^5 + 4*x^4 + 3*x^3 + 3*x^2 + 2*x + 2), set([(15, 11), (18, 13), (3, 5), (0, 4)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x), set([(5, 6), (8, 8), (3, 5), (0, 4)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^2 + x), set([(10, 8), (18, 13), (8, 7), (0, 4)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 6*x^4 - 2*x^3 + 2*x^2 + 5*x + 8), set([(5, 14), (1, 7), (3, 11), (0, 4)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^10 - x^9 + x^8 + x^6 - x^5 + x^4 - x^3 - x - 1), set([(4, 5), (18, 13), (14, 10), (0, 4)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + 2*x), set([(18, 13), (12, 8), (6, 5), (0, 4)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 + x^2), set([(7, 5), (9, 6), (16, 12), (0, 4)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + x - 1), set([(4, 5), (12, 10), (8, 7), (0, 4)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha - 2*x^4 + 3*x^3 - 3*x^2 + 2*x + 1), set([(4, 13), (1, 7), (6, 16), (0, 4)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, 4*alpha + 3*x^4 - 10*x^3 + 6*x^2 + 3*x + 1), set([(1, 10), (2, 12), (7, 18), (0, 4)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^8 + 3*x^7 + 3*x^6 + x^5 - x^3 - 2*x^2 - 4*x - 3), set([(5, 6), (11, 9), (16, 12), (0, 4)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha + 5*x^2 - 10*x + 4), set([(5, 14), (1, 8), (2, 10), (0, 4)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + x - 3), set([(1, 7), (4, 12), (2, 9), (0, 4)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 3*x^4 - x^3 + x^2 + 3*x + 5), set([(3, 5), (7, 7), (10, 9), (0, 4)]))
('Cluster size', 4, (x^5 - x^2 - 1, 3*alpha - 2*x^4 - 4*x^3 + x^2 + 4*x + 5), set([(2, 10), (3, 12), (7, 18), (0, 4)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^5 + x^4 - 1), set([(5, 6), (14, 11), (9, 8), (0, 4)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^2 + 1), set([(14, 11), (9, 7), (5, 5), (0, 4)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 + x), set([(11, 8), (7, 6), (18, 13), (0, 4)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 2*x^6 - x^5 + 2*x^4 - 2*x^3 + x^2 - 3*x - 1), set([(4, 5), (10, 8), (14, 11), (0, 4)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^2 + x), set([(7, 6), (9, 7), (16, 12), (0, 4)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x + 1), set([(12, 10), (7, 6), (5, 5), (0, 4)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha - 4*x^2 + 7*x - 2), set([(1, 8), (3, 12), (6, 16), (0, 4)]))

n = 5
('Cluster size', 4, (x^3 - x^2 - 1, alpha - 1), set([(3, 4), (0, 5), (5, 0), (4, 3)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 3*x^2 + x + 4), set([(4, 13), (1, 8), (0, 5), (2, 10)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 + x^3 + x + 1), set([(14, 12), (5, 7), (0, 5), (9, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 1), set([(4, 1), (0, 5), (2, 4), (3, 3)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^6 + x^4 - x^3 - x), set([(12, 11), (0, 5), (9, 9), (3, 6)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^10 + x^9 - 2*x^8 + x^7 - x^6 + 2*x^5 - x^4 + 3*x^3 + 2*x), set([(14, 11), (18, 14), (0, 5), (4, 6)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 + x^2 - 1), set([(7, 8), (5, 7), (0, 5), (12, 11)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + 2*x^10 + 2*x^9 + 2*x^8 + x^7 - 2*x^5 - 4*x^4 - 5*x^3 - 7*x^2 - 5*x - 3), set([(5, 6), (13, 10), (18, 14), (0, 5)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^4 - x + 1), set([(6, 7), (8, 8), (0, 5), (14, 12)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^2 + 1), set([(11, 9), (0, 5), (7, 7), (18, 14)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x + 1), set([(14, 12), (0, 5), (8, 7), (6, 6)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + x + 2), set([(8, 8), (0, 5), (4, 6), (12, 11)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^3 + x^2), set([(10, 7), (8, 6), (18, 14), (0, 5)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^5), set([(16, 13), (6, 7), (0, 5), (10, 9)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^6 - x - 1), set([(5, 6), (16, 13), (11, 9), (0, 5)]))
('Cluster size', 4, (x^7 - x - 1, alpha + 2*x^10 + x^8 + x^6 - x^5 - x^4 - 2*x^3 - x - 1), set([(16, 13), (0, 5), (3, 6), (13, 11)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - x^6 + 2*x^5 - 2*x^4 + 3*x^3 - 2*x^2 + 3*x - 2), set([(14, 12), (0, 5), (4, 6), (10, 9)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 3*x^8 + x^7 + 2*x^6 + x^5 - x^4 - 2*x^3 - 4*x^2 - 2*x - 3), set([(14, 12), (11, 10), (0, 5), (3, 6)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^2 + x), set([(10, 8), (18, 14), (0, 5), (8, 7)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 + x^5 + x^4 - x^2 - x), set([(16, 13), (7, 8), (0, 5), (9, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x + 2), set([(12, 9), (18, 14), (0, 5), (6, 6)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + 2*x^3 - 2*x - 2), set([(3, 12), (6, 17), (0, 5), (2, 10)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha + 4*x^2 + x - 10), set([(2, 11), (5, 15), (0, 5), (1, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 1), set([(8, 9), (5, 7), (0, 5), (3, 6)]))
('Cluster size', 4, (x^5 - x^2 - 1, 3*alpha + 5*x^4 - 2*x^3 - 4*x^2 - 4*x + 4), set([(2, 11), (0, 5), (7, 19), (3, 13)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha + x^4 - 2*x^3 + 3*x^2 - 3*x + 1), set([(6, 17), (1, 8), (0, 5), (4, 14)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 3*x^8 - 5*x^7 - 3*x^6 + x^4 + 3*x^3 + 5*x^2 + 7*x + 2), set([(16, 13), (11, 10), (5, 7), (0, 5)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 + x), set([(11, 8), (7, 6), (18, 14), (0, 5)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x + 1), set([(8, 8), (0, 5), (10, 9), (18, 14)]))
('Cluster size', 4, (x^8 - x - 1, alpha + 2*x^12 + x^10 + x^8 + x^7 - x^6 - x^5 - 2*x^4 - x^2 - x - 2), set([(15, 12), (18, 14), (0, 5), (3, 6)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^3 - 2*x^2 + 2*x - 1), set([(7, 19), (1, 8), (0, 5), (5, 16)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^3 - 3*x + 1), set([(1, 10), (6, 17), (0, 5), (2, 12)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 5*x^4 + 2*x^3 - x^2 - 4*x - 7), set([(7, 8), (0, 5), (3, 6), (10, 10)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^2 + x), set([(16, 13), (7, 6), (0, 5), (9, 7)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^7 + x^6 + x^5 - x^2 - 1), set([(7, 8), (11, 10), (18, 14), (0, 5)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^2 + 1), set([(16, 13), (10, 8), (0, 5), (6, 6)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - x^9 + 2*x^8 + x^7 + 2*x^5 + x^3 - 3), set([(18, 14), (5, 7), (0, 5), (13, 11)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x + 1), set([(16, 13), (9, 8), (0, 5), (7, 7)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 2*x^4 - x^3 - x^2 + x - 2), set([(5, 6), (14, 12), (9, 8), (0, 5)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + x^3 + x^2 - x - 1), set([(6, 7), (18, 14), (0, 5), (12, 10)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha - 2*x^2 - 4*x + 9), set([(6, 17), (0, 5), (1, 9), (3, 13)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, 5*alpha - 18*x^6 + 18*x^5 - 21*x^4 + 29*x^3 - 14*x^2 + 30*x - 7), set([(7, 19), (4, 15), (0, 5), (1, 9)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 2*x^3 - 2*x^2 + 2*x - 3), set([(3, 12), (1, 8), (5, 15), (0, 5)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^6 + x^5 + x^2 + x), set([(16, 13), (12, 10), (0, 5), (4, 6)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + x^2 - 1), set([(6, 7), (0, 5), (4, 6), (10, 10)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 5*x^4 - 3*x^3 - 4*x^2 + x - 4), set([(1, 10), (7, 19), (0, 5), (3, 14)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 1), set([(4, 2), (0, 5), (2, 4), (5, 0)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 - x^2 - x), set([(5, 6), (0, 5), (7, 7), (12, 11)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^6 - 2*x^5 - x^2 + 3*x + 3), set([(7, 19), (0, 5), (4, 14), (2, 10)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, 4*alpha + x^4 + 2*x^3 - 10*x^2 + 5*x + 3), set([(7, 19), (2, 13), (1, 11), (0, 5)]))

n = 6
('Cluster size', 4, (x^3 - x - 1, alpha + 4*x^2 - 3*x - 3), set([(0, 6), (2, 11), (1, 9), (4, 14)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 7*x^4 - 2*x^3 + 2*x^2 + 6*x + 10), set([(0, 6), (7, 9), (10, 11), (3, 7)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - 1), set([(4, 5), (0, 6), (5, 4), (6, 0)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - 3*x^9 - 4*x^8 - x^7 - 2*x^6 + 2*x^4 + 3*x^3 + 4*x^2 + 6*x + 3), set([(18, 15), (0, 6), (13, 12), (5, 8)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 - x - 4), set([(0, 6), (2, 13), (1, 11), (6, 18)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^3 - x^2 - 1), set([(0, 6), (6, 7), (10, 9), (16, 14)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^2 + x), set([(18, 15), (0, 6), (8, 7), (10, 8)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^9 + x^8 - 2*x^7 + x^6 - x^5 + 2*x^4 - x^3 + 3*x^2 + 2), set([(18, 15), (0, 6), (4, 7), (14, 12)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^10 + x^9 - x^8 - x^6 + x^5 + x^3 + 2*x + 1), set([(0, 6), (13, 12), (16, 14), (3, 7)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^2 + 1), set([(18, 15), (0, 6), (11, 9), (7, 7)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^4 + x^3 - x - 1), set([(8, 9), (0, 6), (6, 8), (14, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x + 1), set([(18, 15), (0, 6), (8, 8), (10, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - 1), set([(0, 6), (8, 10), (5, 8), (3, 7)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha + 9*x^2 - 2*x - 13), set([(1, 10), (0, 6), (6, 18), (3, 14)]))
('Cluster size', 4, (x^6 - x - 1, alpha - x^5 + x^4 - x^3 + x^2 + 2), set([(0, 6), (11, 11), (14, 13), (3, 7)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 - 1), set([(18, 15), (0, 6), (6, 7), (12, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 1), set([(0, 6), (5, 3), (6, 0), (3, 5)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^3 - x^2 + x), set([(9, 10), (0, 6), (12, 12), (3, 7)]))
('Cluster size', 4, (x^8 - x - 1, alpha - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(18, 15), (0, 6), (15, 13), (3, 7)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - 3*x^10 - x^9 - x^8 - x^7 + x^6 + 3*x^5 + 4*x^4 + 5*x^3 + 7*x^2 + 2*x + 1), set([(18, 15), (0, 6), (5, 7), (13, 11)]))
('Cluster size', 4, (x^4 - x - 1, alpha - x^3 + 1), set([(0, 6), (2, 5), (4, 3), (5, 1)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^4), set([(0, 6), (16, 14), (6, 8), (10, 10)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^5 + x^2 - x), set([(9, 10), (0, 6), (14, 13), (5, 8)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 2*x^8 - 2*x^7 - x^6 + x^5 + 2*x^4 + 4*x^3 + 5*x^2 + 5*x + 2), set([(0, 6), (11, 10), (5, 7), (16, 14)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha + x^4 + x^3 - 2*x^2 + 3*x - 4), set([(0, 6), (4, 15), (6, 18), (1, 9)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - x^5 + x^3 + 2), set([(0, 6), (11, 11), (5, 8), (16, 14)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 - x^3 + x^2 + 2*x + 1), set([(0, 6), (12, 12), (5, 8), (7, 9)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 + x^2 + 2*x), set([(18, 15), (0, 6), (6, 8), (12, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 - x - 1), set([(8, 9), (0, 6), (4, 7), (12, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^4 - x^3 - x + 1), set([(0, 6), (8, 8), (6, 7), (14, 13)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x + 1), set([(0, 6), (9, 8), (7, 7), (16, 14)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x^2 + x), set([(5, 1), (0, 6), (4, 4), (3, 5)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - x^7 + x^4 + x^2 + 1), set([(18, 15), (0, 6), (11, 11), (7, 9)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 - x^2 + 1), set([(0, 6), (7, 8), (9, 9), (16, 14)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^6 + x^4 - x^3 - x + 1), set([(8, 9), (0, 6), (18, 15), (10, 10)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - x^4 + x^3 + 2), set([(0, 6), (4, 7), (14, 13), (10, 10)]))
('Cluster size', 4, (x^5 - x - 1, alpha - 1), set([(0, 6), (2, 5), (5, 2), (6, 0)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha - 10*x^2 + 14*x + 1), set([(1, 10), (0, 6), (2, 12), (5, 16)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + x^6 - x^3 - x^2 - 1), set([(18, 15), (0, 6), (11, 10), (7, 8)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 1), set([(0, 6), (3, 4), (6, 0), (4, 3)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 11*x^4 - 3*x^3 + 2*x^2 + 9*x + 16), set([(0, 6), (1, 9), (5, 16), (3, 13)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^2 - x + 1), set([(0, 6), (5, 7), (9, 9), (14, 13)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 2*x^4 - x^3 + 2*x^2 + 2*x), set([(0, 6), (6, 18), (2, 11), (3, 13)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^5 + x^4 + x + 1), set([(0, 6), (4, 7), (12, 11), (16, 14)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^5 + x^4 + x^3 - x - 1), set([(9, 10), (0, 6), (16, 14), (7, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - x - 1), set([(0, 6), (2, 5), (3, 4), (4, 2)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^3 - x - 1), set([(12, 12), (0, 6), (5, 7), (7, 8)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x^2 + 2*x), set([(0, 6), (4, 7), (10, 11), (6, 8)]))

n = 7
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 - x^7 + 2*x^6 - 2*x^5 - x^3 - 2*x + 3), set([(5, 9), (13, 13), (0, 7), (18, 16)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^6 - x^5 + x^4 - x^3 + x^2), set([(3, 8), (13, 13), (0, 7), (16, 15)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^4 + x + 1), set([(6, 1), (5, 4), (3, 6), (0, 7)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 - x^4 + x^2 + x + 1), set([(6, 1), (2, 6), (0, 7), (5, 3)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^4 + x - 1), set([(5, 9), (9, 11), (0, 7), (14, 14)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^3 + x + 2), set([(18, 16), (6, 9), (12, 12), (0, 7)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^4 + x^3 + x^2 + x - 1), set([(6, 9), (8, 10), (0, 7), (14, 14)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + x), set([(2, 6), (4, 3), (0, 7), (3, 5)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^6 - x^3 - x + 1), set([(8, 9), (18, 16), (0, 7), (10, 10)]))
('Cluster size', 4, (x^8 - x - 1, alpha + x^9 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1), set([(3, 8), (18, 16), (15, 14), (0, 7)]))
('Cluster size', 4, (x^5 - x - 1, 2*alpha - 4*x^4 + x^3 + x^2 - 2*x + 7), set([(1, 10), (6, 19), (0, 7), (4, 16)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha + x^2 - 11*x + 14), set([(5, 17), (2, 13), (1, 11), (0, 7)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 10*x^4 + 3*x^3 - 2*x^2 - 8*x - 14), set([(3, 8), (7, 10), (0, 7), (10, 12)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x + 1), set([(4, 5), (5, 2), (3, 6), (0, 7)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^5 + x^3 + 1), set([(18, 16), (11, 11), (0, 7), (7, 9)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 2*x^5 - x^4 + x^3 - x^2 + x - 2), set([(3, 8), (11, 12), (0, 7), (14, 14)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - 1), set([(5, 6), (7, 0), (6, 5), (0, 7)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + x^5 + x^3 + 1), set([(16, 15), (6, 8), (0, 7), (10, 10)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 16*x^4 + 5*x^3 - 3*x^2 - 14*x - 23), set([(1, 10), (5, 17), (3, 14), (0, 7)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - x^6 + x^5 + 2*x), set([(18, 16), (13, 12), (5, 8), (0, 7)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x^3 - x^2 - x), set([(7, 8), (9, 9), (0, 7), (16, 15)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + 3*x^8 + 8*x^7 + 7*x^6 + 2*x^5 - x^4 - 3*x^3 - 7*x^2 - 10*x - 7), set([(5, 9), (11, 12), (16, 15), (0, 7)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - 4*x^4 + x^3 + 4*x^2 + 4*x + 3), set([(6, 19), (2, 14), (1, 12), (0, 7)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + x + 1), set([(3, 8), (5, 9), (8, 11), (0, 7)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 + x^2 + x + 1), set([(6, 1), (4, 6), (0, 7), (5, 5)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - 1), set([(5, 3), (7, 0), (0, 7), (3, 5)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + 2*x^10 + x^8 + x^7 - x^5 - x^4 - 2*x^3 - 3*x^2 - x - 2), set([(18, 16), (14, 13), (0, 7), (4, 8)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 + x^3 - x^2 - x), set([(9, 10), (16, 15), (0, 7), (7, 9)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(6, 3), (7, 0), (3, 6), (0, 7)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + 4*x^8 + 5*x^7 + 4*x^6 + x^5 - 3*x^3 - 5*x^2 - 4*x - 5), set([(18, 16), (11, 12), (7, 10), (0, 7)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^3), set([(6, 9), (10, 11), (16, 15), (0, 7)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 3*x^4 - 2*x^3 - x^2 + x - 4), set([(9, 10), (5, 8), (0, 7), (14, 14)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 2*x + 1), set([(18, 16), (12, 11), (6, 8), (0, 7)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 3*x^2 + 4*x), set([(1, 10), (4, 15), (2, 12), (0, 7)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 + 2*x^2 + x), set([(12, 13), (5, 8), (0, 7), (7, 9)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^6 + x^5 + x^4 - x^2 - x - 1), set([(18, 16), (10, 11), (8, 10), (0, 7)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 1), set([(6, 2), (2, 6), (7, 0), (0, 7)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 - x^3 + x + 1), set([(6, 1), (4, 4), (0, 7), (3, 5)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 2*x^3 - x^2 + 2*x + 2), set([(6, 19), (3, 14), (2, 12), (0, 7)]))
('Cluster size', 4, (x^3 - x - 1, 5*alpha - 13*x^2 + 9*x + 11), set([(6, 19), (3, 15), (1, 11), (0, 7)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 1), set([(6, 4), (7, 0), (4, 6), (0, 7)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^6 - x^4 + x^3 - x), set([(12, 12), (16, 15), (0, 7), (4, 8)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^2 - x + 1), set([(3, 8), (12, 13), (9, 11), (0, 7)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 - x^2 + 1), set([(12, 13), (5, 9), (7, 10), (0, 7)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 5*x^6 - 2*x^5 + 4*x^4 - 5*x^3 - 7*x - 3), set([(14, 14), (10, 11), (0, 7), (4, 8)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^6 - x^5 + x^3 + 2*x^2 + x), set([(9, 11), (7, 10), (0, 7), (16, 15)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - 1), set([(4, 5), (5, 4), (7, 0), (0, 7)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 2*x), set([(12, 13), (8, 10), (0, 7), (4, 8)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 3*x^4 + x^3 - x^2 - 3*x - 4), set([(2, 6), (5, 2), (4, 4), (0, 7)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^5 + x^4 + x + 1), set([(16, 15), (5, 8), (0, 7), (11, 11)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x + 2), set([(6, 9), (10, 12), (0, 7), (4, 8)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 - x^3 - x^2 - 1), set([(18, 16), (11, 10), (7, 8), (0, 7)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^4 - x^2 - x - 1), set([(8, 9), (6, 8), (0, 7), (14, 14)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x + 1), set([(18, 16), (8, 8), (10, 9), (0, 7)]))

n = 8
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 - x^3 - x^2), set([(5, 6), (4, 7), (0, 8), (6, 2)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - x + 1), set([(12, 12), (6, 9), (0, 8), (18, 17)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 - x^4 + x^3 + x + 2), set([(14, 15), (0, 8), (5, 10), (9, 12)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^6 + x^5 + 2*x^3 - 1), set([(8, 11), (0, 8), (10, 12), (18, 17)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^6 + x^4 - x^3 - x^2 - x - 1), set([(2, 7), (5, 4), (0, 8), (6, 2)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 4*x^4 + 3*x^3 + 2*x^2 - x + 5), set([(5, 9), (0, 8), (14, 15), (9, 11)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^4 + x - 2), set([(3, 9), (0, 8), (12, 14), (9, 12)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^3 + 2*x + 1), set([(5, 9), (0, 8), (12, 14), (7, 10)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 0), (7, 6), (0, 8), (6, 7)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + x^3 + x), set([(0, 8), (6, 6), (7, 1), (5, 7)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^3 + x^2 - x - 1), set([(9, 11), (0, 8), (16, 16), (7, 10)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + x^4 - x^3 - x - 1), set([(0, 8), (11, 12), (18, 17), (7, 10)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + 2*x^3 - 1), set([(6, 9), (0, 8), (14, 15), (8, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x + 1), set([(2, 7), (0, 8), (4, 4), (3, 6)]))
('Cluster size', 4, (x^7 - x - 1, alpha - 1), set([(2, 7), (0, 8), (8, 0), (7, 2)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 3*x + 4), set([(1, 11), (2, 13), (0, 8), (4, 16)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^7 + x^6 - x^5 - x^4 - 3*x^3 - 2*x^2 - 3*x - 3), set([(16, 16), (6, 9), (0, 8), (10, 11)]))
('Cluster size', 4, (x^8 - x - 1, alpha - x^9 - x^7 + x^6 - x^5 + x^4 - x^3 + 2*x^2 + x + 2), set([(3, 9), (0, 8), (15, 15), (18, 17)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^5 - 2*x^4 + 2*x^3 - x^2 + x), set([(0, 8), (4, 9), (18, 17), (14, 14)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 + 6*x^8 + 3*x^7 + 2*x^6 + 2*x^5 - 2*x^4 - 3*x^3 - 4*x^2 - 6*x - 5), set([(13, 14), (0, 8), (5, 10), (18, 17)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 2*x^2 - 2*x - 1), set([(6, 10), (10, 13), (0, 8), (4, 9)]))
('Cluster size', 4, (x^4 - x - 1, alpha - x^3 + x^2 - x + 1), set([(2, 7), (4, 5), (0, 8), (5, 3)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 3*x^6 + 5*x^5 - 5*x^4 + 7*x^3 - 5*x^2 + 6*x - 4), set([(14, 15), (0, 8), (4, 9), (10, 12)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - 5*x^8 - 6*x^7 - 5*x^6 - x^5 + x^4 + 5*x^3 + 7*x^2 + 5*x + 6), set([(7, 11), (0, 8), (18, 17), (11, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 0), (7, 5), (0, 8), (5, 7)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^2), set([(6, 10), (0, 8), (16, 16), (10, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + 2*x^4 + 2*x^3 - x^2 - 2*x - 1), set([(12, 13), (6, 10), (0, 8), (18, 17)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^6 - x^5 - x^3 - x + 1), set([(8, 9), (0, 8), (18, 17), (10, 10)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - x^3 + x^2), set([(4, 7), (0, 8), (6, 5), (7, 1)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^3 - x^2 - x - 1), set([(9, 10), (0, 8), (16, 16), (7, 9)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 1), set([(6, 3), (0, 8), (8, 0), (3, 6)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^4 - x^3 + x^2 + 2*x + 1), set([(6, 10), (8, 11), (0, 8), (14, 15)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - 1), set([(5, 6), (0, 8), (8, 0), (6, 5)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - x^5 + x^4 + 2), set([(5, 9), (0, 8), (13, 13), (18, 17)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 - x^2 - x), set([(4, 5), (0, 8), (3, 6), (6, 2)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 7*x^8 - 11*x^7 - 6*x^6 + 2*x^4 + 6*x^3 + 11*x^2 + 14*x + 4), set([(16, 16), (0, 8), (5, 10), (11, 13)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 23*x^4 - 7*x^3 + 5*x^2 + 20*x + 32), set([(1, 11), (3, 15), (0, 8), (5, 18)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x + 2), set([(8, 11), (0, 8), (4, 9), (12, 14)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^5 - x^4 + x^3 - x^2 + x), set([(13, 14), (3, 9), (0, 8), (16, 16)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 - x^4 + x + 1), set([(5, 4), (0, 8), (3, 6), (7, 1)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 14*x^4 - 4*x^3 + 3*x^2 + 12*x + 20), set([(7, 11), (3, 9), (0, 8), (10, 13)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + x^2 - x - 1), set([(3, 7), (0, 8), (4, 6), (5, 3)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^6 + x^5 - x^3 - x^2 - x - 1), set([(0, 8), (10, 11), (8, 10), (18, 17)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - 1), set([(4, 5), (5, 4), (0, 8), (8, 0)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - 1), set([(8, 0), (6, 4), (0, 8), (4, 6)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^5 - x^3 + x^2 - 1), set([(12, 13), (0, 8), (4, 9), (16, 16)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^8 + 3*x^7 + x^6 - 2*x^4 - 3*x^3 - 5*x^2 - 5*x - 3), set([(16, 16), (5, 9), (0, 8), (11, 12)]))
('Cluster size', 4, (x^6 - x - 1, alpha - x^5 + 1), set([(2, 7), (6, 3), (0, 8), (7, 1)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - x - 1), set([(6, 2), (3, 7), (0, 8), (5, 5)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 4), (4, 7), (0, 8), (8, 0)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 6*x^8 - 2*x^7 - 5*x^6 - 2*x^5 + 2*x^4 + 5*x^3 + 9*x^2 + 6*x + 8), set([(3, 9), (0, 8), (14, 15), (11, 13)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - x), set([(3, 9), (0, 8), (5, 10), (8, 12)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - x^4 + x^3 - x^2 + x), set([(3, 7), (0, 8), (7, 1), (6, 4)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^5 - x^4 + x^2 + 2*x + 1), set([(7, 11), (0, 8), (16, 16), (9, 12)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha + 14*x^2 - 13*x - 11), set([(2, 14), (0, 8), (5, 18), (1, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + 2*x^3 - 2*x - 1), set([(7, 11), (0, 8), (5, 10), (12, 14)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^6 + x^4 + 1), set([(0, 8), (11, 11), (18, 17), (7, 9)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^4 + x), set([(0, 8), (4, 6), (7, 1), (5, 5)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - 1), set([(8, 0), (3, 7), (0, 8), (7, 3)]))

n = 9
('Cluster size', 4, (x^4 - x - 1, alpha + 32*x^4 + 9*x^3 - 7*x^2 - 27*x - 44), set([(0, 9), (3, 16), (1, 12), (5, 19)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^6 - x^5 - x^4 + x^2 + x + 1), set([(0, 9), (8, 1), (4, 6), (5, 5)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^6 + 1), set([(0, 9), (2, 8), (8, 1), (7, 3)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 + x^2), set([(0, 9), (8, 1), (5, 7), (6, 6)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^6 - x^5 + x^3 + 2*x^2 + x), set([(0, 9), (10, 13), (18, 18), (8, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - 2), set([(0, 9), (2, 8), (4, 5), (3, 7)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^7 + x^5 - x^4 + x^3 - x^2 + x - 1), set([(0, 9), (7, 12), (11, 14), (18, 18)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^4 - x^3 - x^2 + 2), set([(0, 9), (6, 11), (14, 16), (8, 12)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^6 - x^4 - x^3 - x^2 - x - 1), set([(0, 9), (10, 11), (8, 10), (18, 18)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 + 2*x^2 + x - 1), set([(0, 9), (7, 12), (12, 15), (5, 11)]))
('Cluster size', 4, (x^5 - x - 1, alpha - 3*x^6 - x^5 - 2*x^4 + x^3 + 3*x^2 + 4*x + 4), set([(0, 9), (9, 13), (3, 10), (12, 15)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x^2 + 3*x - 2), set([(0, 9), (4, 10), (10, 14), (6, 11)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - x^6 - x^5 + x + 1), set([(0, 9), (3, 7), (8, 1), (6, 4)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^4 - 2*x^3 + 2*x^2 - x + 1), set([(0, 9), (4, 10), (14, 15), (18, 18)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^3 + 1), set([(0, 9), (5, 6), (4, 7), (7, 2)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + 2*x^4 + x^3), set([(0, 9), (16, 17), (9, 11), (7, 10)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + x^4 + x^3 + x^2 + x + 1), set([(0, 9), (8, 1), (6, 8), (7, 7)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 + 2*x^2 + x - 1), set([(0, 9), (7, 11), (9, 12), (16, 17)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - 5*x^9 - 2*x^8 + x^7 - 2*x^6 + 2*x^5 + 2*x^4 + 3*x^3 + 2*x^2 + 6*x - 1), set([(0, 9), (13, 15), (18, 18), (5, 11)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 - 2*x^2 - x + 1), set([(0, 9), (7, 11), (12, 15), (5, 10)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x), set([(0, 9), (6, 11), (10, 13), (16, 17)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^3 - x^2 - x), set([(0, 9), (6, 3), (5, 7), (4, 8)]))
('Cluster size', 4, (x^7 - x - 1, alpha - 2*x^10 - 2*x^9 - x^8 - 2*x^7 + 3*x^4 + 3*x^3 + 4*x^2 + 2*x + 3), set([(0, 9), (16, 17), (3, 10), (13, 15)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x^2 + 2*x - 1), set([(0, 9), (3, 8), (4, 7), (5, 4)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 20*x^4 + 6*x^3 - 4*x^2 - 17*x - 28), set([(0, 9), (7, 12), (3, 10), (10, 14)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + x - 2), set([(0, 9), (12, 13), (6, 10), (18, 18)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + x^3 + x^2 + x + 1), set([(0, 9), (8, 1), (7, 6), (5, 8)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 1), set([(0, 9), (9, 0), (8, 5), (5, 8)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 9), (9, 0), (7, 8), (8, 7)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 9), (8, 6), (9, 0), (6, 8)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 4*x^6 - 3*x^5 + x^4 - x^3 + 7*x^2 + 3*x + 10), set([(0, 9), (4, 10), (10, 13), (14, 16)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + 2*x^2 + x), set([(0, 9), (8, 11), (6, 10), (14, 16)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 - x - 1), set([(0, 9), (3, 7), (6, 3), (4, 6)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 9), (7, 5), (5, 7), (9, 0)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 + x^5 - x^3 - x^2 + 1), set([(0, 9), (7, 12), (16, 17), (9, 13)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 9), (6, 4), (9, 0), (4, 6)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^3 - 2*x^2 + 2*x - 1), set([(0, 9), (5, 10), (14, 16), (9, 12)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(0, 9), (3, 8), (8, 3), (9, 0)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + 2*x^3 + x), set([(0, 9), (7, 11), (18, 18), (11, 13)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^5 + x), set([(0, 9), (8, 1), (4, 7), (6, 5)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + x^5 - x^4 + 2*x^3 + x), set([(0, 9), (16, 17), (6, 10), (10, 12)]))
('Cluster size', 4, (x^8 - x - 1, alpha + 2*x^9 + x^8 + 2*x^7 - x^6 + x^5 - x^4 + x^3 - 3*x^2 - 2*x - 3), set([(0, 9), (3, 10), (15, 16), (18, 18)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x - 1), set([(0, 9), (3, 10), (8, 13), (5, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 - 3), set([(0, 9), (4, 10), (12, 15), (8, 12)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^6 + x + 1), set([(0, 9), (3, 8), (8, 1), (7, 4)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + 4*x^10 + 4*x^9 + 5*x^8 + 2*x^7 - 4*x^5 - 9*x^4 - 12*x^3 - 15*x^2 - 11*x - 7), set([(0, 9), (13, 14), (5, 10), (18, 18)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^5 - x^3 - x), set([(0, 9), (3, 7), (5, 5), (7, 2)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^3 + x^2 + 1), set([(0, 9), (6, 7), (7, 2), (5, 8)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(0, 9), (5, 6), (9, 0), (6, 5)]))
('Cluster size', 4, (x^3 - x^2 - 1, 3*alpha - 11*x^2 + 25*x - 13), set([(0, 9), (1, 13), (2, 15), (5, 19)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 3*x^8 - 2*x^7 + x^5 + 3*x^4 + 4*x^3 + 6*x^2 + 4*x + 1), set([(0, 9), (16, 17), (5, 10), (11, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - 1), set([(0, 9), (7, 6), (6, 7), (9, 0)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, alpha - 1), set([(0, 9), (3, 7), (9, 0), (7, 3)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - 2*x^9 - 2*x^8 - x^7 - x^6 + 3*x^4 + 4*x^3 + 4*x^2 + 5*x + 2), set([(0, 9), (4, 10), (12, 14), (16, 17)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - x^6 + x^5 + x^4 + x^3 - x^2 - 1), set([(0, 9), (8, 11), (10, 12), (18, 18)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 - x^4 + x^3 + x + 1), set([(0, 9), (2, 8), (6, 3), (5, 5)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + 4*x^8 + x^7 - 3*x^6 - 2*x^5 - 2*x^3 - 2*x^2 - x + 6), set([(0, 9), (16, 17), (11, 14), (5, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 4*x^2 - 7), set([(0, 9), (2, 14), (4, 17), (1, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 + x^3 + 2*x^2 - 1), set([(0, 9), (6, 11), (12, 14), (18, 18)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 1), set([(0, 9), (7, 4), (4, 7), (9, 0)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + 2*x^5 + x^4 - x^3 + x^2 - 2*x - 1), set([(0, 9), (9, 13), (14, 16), (5, 11)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^7 + x^5 - x^4 - x^2 - x - 1), set([(0, 9), (2, 8), (7, 2), (6, 4)]))
('Cluster size', 4, (x^4 - x - 1, alpha + x^3 - x^2 + x - 2), set([(0, 9), (2, 8), (5, 4), (4, 6)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + x^6 - 2*x^5 + 2*x^4 - 3*x^3 + 2*x^2 - 2*x + 2), set([(0, 9), (3, 8), (7, 2), (6, 5)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 8*x^8 + 2*x^7 + 6*x^6 + 3*x^5 - 2*x^4 - 6*x^3 - 11*x^2 - 7*x - 10), set([(0, 9), (3, 10), (14, 16), (11, 14)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - x^2 + x), set([(0, 9), (6, 6), (7, 2), (4, 8)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 4*x^8 + x^7 - x^6 - 3*x^5 - 5*x^4 - 4*x^3 - 5*x^2 - 5*x - 5), set([(0, 9), (11, 12), (7, 10), (18, 18)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^6 + x^2 + x + 1), set([(0, 9), (8, 1), (7, 5), (4, 8)]))
('Cluster size', 4, (x^8 - x - 1, alpha - 1), set([(0, 9), (2, 8), (9, 0), (8, 2)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 9), (9, 0), (8, 4), (4, 8)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^3 - x^2 - 1), set([(0, 9), (3, 8), (5, 6), (6, 3)]))

n = 10
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^3 + 2*x + 1), set([(6, 11), (14, 17), (0, 10), (8, 12)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - 1), set([(3, 8), (10, 0), (8, 3), (0, 10)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + 1), set([(6, 12), (10, 14), (0, 10), (16, 18)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 2*x^2 + x + 2), set([(3, 8), (0, 10), (2, 9), (4, 6)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 - x^3 - x^2), set([(5, 6), (4, 7), (0, 10), (8, 2)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - x^6 + x^3 + x), set([(7, 7), (0, 10), (9, 1), (6, 8)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 2), set([(8, 14), (5, 12), (0, 10), (3, 11)]))
('Cluster size', 4, (x^5 - x - 1, alpha + x^6 + x^4 - x^3 - 2*x - 1), set([(5, 6), (6, 4), (0, 10), (2, 9)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(9, 1), (3, 9), (0, 10), (8, 4)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha - x^6 + x^5 + x^3 + x), set([(9, 1), (8, 8), (0, 10), (7, 9)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^4 + 1), set([(6, 6), (0, 10), (8, 2), (4, 8)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - 7*x^10 - 3*x^9 - 3*x^8 - 2*x^7 + 2*x^6 + 7*x^5 + 10*x^4 + 12*x^3 + 16*x^2 + 6*x + 3), set([(13, 15), (18, 19), (0, 10), (5, 11)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^2 - x - 1), set([(6, 4), (4, 9), (0, 10), (5, 8)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 - x^3 + x^2 + x), set([(3, 8), (6, 4), (4, 7), (0, 10)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 10*x^6 - 4*x^5 + 7*x^4 - 9*x^3 - x^2 - 13*x - 7), set([(14, 17), (10, 14), (0, 10), (4, 11)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^5 - x^4 + x^2 + 2*x + 1), set([(18, 19), (10, 14), (8, 13), (0, 10)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 7*x^4 - 2*x^3 + x^2 + 6*x + 10), set([(4, 7), (0, 10), (2, 9), (5, 5)]))
('Cluster size', 4, (x^7 - x - 1, alpha + 3*x^10 + x^9 + x^8 + 2*x^7 + x^6 - 3*x^4 - 3*x^3 - 3*x^2 - 2*x - 4), set([(16, 18), (0, 10), (13, 16), (3, 11)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + 2*x^4 + x^3 - x^2 - 3*x), set([(6, 12), (14, 17), (8, 13), (0, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^4 + x^2 + 1), set([(6, 4), (3, 9), (0, 10), (5, 7)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 3*x^2 + 2*x + 3), set([(8, 13), (0, 10), (4, 11), (12, 16)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - 1), set([(10, 0), (9, 7), (0, 10), (7, 9)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^6 - x^5 + 2*x^4 + x^2), set([(7, 11), (18, 19), (0, 10), (11, 13)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 10*x^8 - 2*x^7 - 8*x^6 - 4*x^5 + 3*x^4 + 8*x^3 + 14*x^2 + 9*x + 13), set([(11, 15), (14, 17), (0, 10), (3, 11)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 - x^5 + x^2 + x + 1), set([(4, 7), (0, 10), (6, 5), (9, 1)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^6 + x), set([(9, 1), (7, 5), (0, 10), (4, 8)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - 1), set([(8, 6), (10, 0), (0, 10), (6, 8)]))
('Cluster size', 4, (x^8 - x - 1, alpha - x^7 + 1), set([(8, 3), (0, 10), (2, 9), (9, 1)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - x + 1), set([(6, 7), (4, 9), (0, 10), (7, 3)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 - 2*x^3 + x^2 + 3*x + 1), set([(6, 12), (12, 15), (18, 19), (0, 10)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^4 - 2*x^3 + 3*x + 2), set([(5, 12), (7, 13), (0, 10), (12, 16)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + 6*x^8 + 16*x^7 + 13*x^6 + 3*x^5 - 2*x^4 - 6*x^3 - 14*x^2 - 20*x - 13), set([(11, 15), (5, 12), (0, 10), (16, 18)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - 1), set([(10, 0), (9, 3), (3, 9), (0, 10)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - x^7 - x^5 + x^4 - x^3 + 2*x^2 + 2), set([(11, 15), (7, 13), (18, 19), (0, 10)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - x^3 + 2*x^2 - 2*x + 2), set([(9, 13), (14, 17), (0, 10), (5, 11)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 0), (8, 5), (0, 10), (5, 8)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^4 - x^2 - x), set([(7, 3), (5, 7), (0, 10), (4, 8)]))
('Cluster size', 4, (x^7 - x - 1, alpha + 2*x^10 + x^9 + 2*x^8 + x^7 + x^6 - x^5 - 2*x^4 - 3*x^3 - 3*x^2 - 3*x - 2), set([(7, 4), (0, 10), (2, 9), (8, 2)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + x^4 - x^3 - 1), set([(7, 3), (3, 9), (0, 10), (6, 6)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 0), (7, 8), (0, 10), (8, 7)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha - x^6 + 2*x^5 - x^2 - 1), set([(8, 11), (18, 19), (0, 10), (10, 12)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 + x^3 - x^2 - 3*x - 2), set([(7, 12), (12, 16), (0, 10), (5, 11)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - x^9 - 6*x^8 - 3*x^7 - 2*x^5 + 2*x^4 + 3*x^3 + 4*x^2 + 4*x + 7), set([(5, 12), (18, 19), (0, 10), (13, 16)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^8 - 2*x^7 - x^6 + x^3 + x^2 + 3*x + 2), set([(16, 18), (0, 10), (11, 14), (5, 11)]))
('Cluster size', 4, (x^6 - x - 1, alpha - x^7 + x^6 - x^5 + x^4 - x^3 + x^2), set([(7, 3), (6, 5), (0, 10), (2, 9)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - x^6 - x^5 + x^4 + 2*x^3 + x^2), set([(10, 13), (18, 19), (0, 10), (8, 12)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 + 2*x^5 + 2*x^4 - 2*x^2 - 2*x - 1), set([(7, 13), (9, 14), (0, 10), (16, 18)]))
('Cluster size', 4, (x^5 - x - 1, alpha + 4*x^6 + x^5 + 3*x^4 - 2*x^3 - 3*x^2 - 5*x - 4), set([(12, 16), (9, 14), (0, 10), (3, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^4 + x^3), set([(9, 1), (5, 9), (0, 10), (8, 6)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x^2 + 2), set([(5, 5), (3, 9), (0, 10), (4, 8)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^5 + 2*x^3 + x^2), set([(7, 11), (0, 10), (9, 12), (16, 18)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - 1), set([(10, 0), (7, 6), (6, 7), (0, 10)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^4 - x^3 - x^2), set([(5, 9), (7, 3), (0, 10), (6, 8)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + 3*x^7 - x^5 - 2*x^4 - 4*x^3 - x^2 - 3*x - 2), set([(6, 11), (10, 13), (0, 10), (16, 18)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - 1), set([(10, 0), (7, 5), (5, 7), (0, 10)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 0), (6, 9), (9, 6), (0, 10)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - 2*x^2 + x + 3), set([(10, 15), (6, 12), (0, 10), (4, 11)]))
('Cluster size', 4, (x^9 - x - 1, alpha - 1), set([(9, 2), (10, 0), (0, 10), (2, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 7*x^2 + 4*x + 7), set([(2, 15), (1, 13), (0, 10), (4, 18)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^4 + x^3 + x^2 + x + 1), set([(6, 9), (0, 10), (8, 7), (9, 1)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^2), set([(7, 6), (4, 9), (0, 10), (8, 2)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + 2*x^9 + x^6 - x^5 - 2*x^4 - x^3 - 2*x^2 - 2*x + 1), set([(12, 15), (0, 10), (4, 11), (16, 18)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 9), (10, 0), (9, 8), (0, 10)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^4 - x^2 - 1), set([(3, 8), (5, 6), (0, 10), (7, 3)]))
('Cluster size', 4, (x^8 - x - 1, alpha - 6*x^12 - 2*x^11 - 5*x^10 - 2*x^9 - 4*x^8 - 2*x^7 + 2*x^6 + 5*x^5 + 9*x^4 + 6*x^3 + 8*x^2 + 5*x + 7), set([(15, 17), (18, 19), (0, 10), (3, 11)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^9 - 2*x^8 + 3*x^7 - 2*x^6 + 2*x^5 - 2*x^4 + 2*x^3 - 3*x^2 + 2*x - 2), set([(18, 19), (0, 10), (4, 11), (14, 16)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha - 1), set([(10, 0), (8, 4), (0, 10), (4, 8)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 + x^4 + x^3 - x^2 + 2*x - 1), set([(14, 17), (5, 12), (9, 14), (0, 10)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^9 + x^6 - x^5 - x^4 - x^3 - x^2 - x), set([(7, 5), (3, 9), (0, 10), (8, 2)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 2*x^2 + x + 3), set([(6, 11), (18, 19), (0, 10), (12, 14)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^6 - x^4 - x), set([(3, 8), (0, 10), (6, 5), (8, 2)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 - x^3 + x^2 + 2*x + 1), set([(7, 12), (9, 13), (0, 10), (16, 18)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - x^7 + x^2 + x + 1), set([(8, 5), (4, 9), (0, 10), (9, 1)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - 1), set([(10, 0), (4, 9), (0, 10), (9, 4)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + 2*x^2 + 1), set([(7, 12), (18, 19), (0, 10), (11, 14)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^3 + x), set([(6, 7), (0, 10), (5, 8), (8, 2)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 + x^3 + x^2 + x + 1), set([(7, 6), (0, 10), (5, 8), (9, 1)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^6 - x^4 + x^3 + x), set([(9, 1), (5, 7), (0, 10), (6, 6)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 28*x^4 - 8*x^3 + 6*x^2 + 24*x + 39), set([(10, 15), (7, 13), (0, 10), (3, 11)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(5, 9), (10, 0), (0, 10), (9, 5)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^3), set([(5, 9), (0, 10), (8, 2), (7, 7)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(5, 6), (10, 0), (0, 10), (6, 5)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 4), (10, 0), (4, 7), (0, 10)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^4), set([(6, 9), (7, 8), (0, 10), (8, 2)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, alpha - x^7 - x^6 + x + 1), set([(3, 8), (7, 4), (0, 10), (9, 1)]))

n = 11
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^6 + x^5 - x^3 + x^2), set([(4, 10), (0, 11), (10, 1), (9, 5)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + 2*x^4 + x^3 - 2*x^2 - 2*x + 1), set([(12, 17), (0, 11), (7, 14), (5, 13)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha - x^7 + x), set([(8, 5), (0, 11), (4, 9), (10, 1)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^6 + x^4 + 2*x^3 + x^2 - x - 1), set([(0, 11), (16, 19), (7, 14), (9, 15)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha - 1), set([(11, 0), (0, 11), (9, 6), (6, 9)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^9 + 3*x^8 + x^7 + x^6 + x^5 - 2*x^4 - 4*x^3 - 4*x^2 - 5*x - 4), set([(0, 11), (4, 12), (16, 19), (12, 16)]))
('Cluster size', 4, (x^8 - x - 1, alpha + 2*x^12 + x^11 + 2*x^10 + x^9 + x^8 + x^7 - x^6 - 2*x^5 - 3*x^4 - 3*x^3 - 3*x^2 - 2*x - 2), set([(9, 2), (0, 11), (8, 4), (2, 10)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^3 - x^2 - x), set([(7, 4), (0, 11), (5, 10), (6, 9)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 + x^3 + x^2 + x + 1), set([(5, 9), (0, 11), (10, 1), (8, 6)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^2 + 1), set([(5, 9), (0, 11), (8, 3), (6, 8)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha - 1), set([(11, 0), (0, 11), (4, 9), (9, 4)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 7*x^6 + 10*x^5 - 11*x^4 + 14*x^3 - 9*x^2 + 13*x - 6), set([(10, 15), (14, 18), (0, 11), (4, 12)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 + x^3 + x^2 + x + 1), set([(9, 6), (0, 11), (5, 10), (10, 1)]))
('Cluster size', 4, (x^9 - x - 1, alpha - x^8 + 1), set([(0, 11), (9, 3), (10, 1), (2, 10)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 0), (0, 11), (8, 4), (4, 8)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 0), (4, 10), (0, 11), (10, 4)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 3*x^2 - 5*x + 1), set([(10, 16), (0, 11), (4, 12), (6, 13)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^5 - x^4 - 1), set([(8, 3), (0, 11), (7, 6), (3, 10)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^5 - x), set([(10, 15), (0, 11), (16, 19), (6, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - x^5 + x^2 + 1), set([(9, 2), (0, 11), (7, 8), (6, 9)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha - 1), set([(11, 0), (0, 11), (7, 8), (8, 7)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 4*x^6 + 2*x^5 - 3*x^4 + 4*x^3 + 5*x + 2), set([(7, 4), (0, 11), (6, 7), (3, 10)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 39*x^4 + 11*x^3 - 8*x^2 - 33*x - 54), set([(10, 16), (0, 11), (3, 12), (7, 14)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - x^3), set([(0, 11), (6, 10), (8, 3), (7, 9)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^4), set([(9, 2), (0, 11), (6, 10), (8, 8)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - x^6 + x^5 + x^2), set([(10, 1), (0, 11), (9, 8), (7, 10)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^3), set([(9, 2), (5, 9), (0, 11), (7, 7)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 8*x^4 - 6*x^3 - 3*x^2 + 2*x - 10), set([(0, 11), (14, 18), (9, 14), (5, 12)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^4 + 2*x^2 + x), set([(7, 12), (9, 13), (0, 11), (16, 19)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 13*x^8 - 20*x^7 - 10*x^6 + 3*x^4 + 11*x^3 + 20*x^2 + 25*x + 6), set([(11, 16), (0, 11), (16, 19), (5, 13)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - x - 1), set([(9, 2), (0, 11), (5, 10), (8, 7)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 - x^2), set([(9, 2), (0, 11), (6, 6), (4, 8)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^5 - x^4 + x^3 - x^2 - 1), set([(7, 4), (0, 11), (6, 6), (2, 10)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^5 - x^3 + x^2 + 1), set([(9, 2), (0, 11), (6, 7), (5, 8)]))
('Cluster size', 4, (x^7 - x - 1, alpha - 4*x^10 - x^9 - 3*x^8 - 3*x^7 - 2*x^6 + x^5 + 4*x^4 + 5*x^3 + 5*x^2 + 5*x + 6), set([(13, 17), (0, 11), (3, 12), (16, 19)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^3 - x^2 + x + 1), set([(0, 11), (3, 9), (6, 5), (4, 8)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(9, 10), (11, 0), (0, 11), (10, 9)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 0), (10, 8), (0, 11), (8, 10)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 - x^6 + x^2 + x + 1), set([(0, 11), (7, 5), (10, 1), (4, 8)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(10, 7), (11, 0), (0, 11), (7, 10)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^5 - x^2 - x), set([(0, 11), (5, 7), (8, 3), (4, 8)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - x^8 + x + 1), set([(10, 1), (0, 11), (3, 10), (9, 4)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^2), set([(9, 2), (4, 10), (0, 11), (8, 6)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 0), (0, 11), (9, 7), (7, 9)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^8 - x^7 - x^6 + x^3 + x^2 + x + 1), set([(10, 1), (0, 11), (7, 6), (5, 8)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 - x - 2), set([(0, 11), (3, 12), (5, 13), (8, 15)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^5 + x^3), set([(10, 1), (0, 11), (6, 9), (8, 7)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(8, 9), (11, 0), (0, 11), (9, 8)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 11), (8, 10), (10, 1), (9, 9)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - 1), set([(11, 0), (0, 11), (6, 10), (10, 6)]))
('Cluster size', 4, (x^5 - x - 1, alpha - 4*x^6 - 3*x^4 + 3*x^3 + 2*x^2 + 5*x + 3), set([(12, 17), (0, 11), (3, 12), (9, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^10 - x^9 + 2*x^8 - x^7 + x^6 - 2*x^5 + x^4 - 2*x^3 - 2*x), set([(9, 2), (0, 11), (8, 5), (3, 10)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^3 - x - 1), set([(7, 4), (0, 11), (4, 9), (5, 8)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 - x^4 + x^3 + 1), set([(7, 4), (0, 11), (3, 9), (5, 7)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - 1), set([(11, 0), (8, 6), (0, 11), (6, 8)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^5 + x^3 + x + 1), set([(7, 8), (0, 11), (5, 10), (8, 3)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(11, 0), (0, 11), (5, 10), (10, 5)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(11, 0), (0, 11), (8, 5), (5, 8)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 13*x^8 + 3*x^7 + 11*x^6 + 5*x^5 - 4*x^4 - 10*x^3 - 18*x^2 - 12*x - 17), set([(11, 16), (0, 11), (14, 18), (3, 12)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + 2*x^3 + x^2 - x - 3), set([(8, 14), (0, 11), (14, 18), (6, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^7 + x^6 + x^4 + 2*x^3 + 3*x + 1), set([(6, 12), (0, 11), (10, 14), (16, 19)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 + x^4 + x^3 + x^2 + x + 1), set([(0, 11), (6, 10), (10, 1), (9, 7)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha - 1), set([(11, 0), (0, 11), (6, 7), (7, 6)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - x^6 + x^2), set([(0, 11), (6, 8), (10, 1), (7, 7)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^6 + x^5 - x^4 + 1), set([(0, 11), (7, 5), (8, 3), (2, 10)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 - 2*x^4 + x^3 + x^2 + 3), set([(0, 11), (14, 18), (5, 13), (9, 15)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 + x^2 + 2*x), set([(4, 10), (0, 11), (6, 5), (5, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 7*x^2 - 7*x - 3), set([(2, 16), (0, 11), (1, 14), (4, 19)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^5 - x^3 - x), set([(6, 7), (0, 11), (4, 9), (8, 3)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, alpha - 1), set([(11, 0), (0, 11), (3, 9), (9, 3)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 10*x^4 + 3*x^3 - 2*x^2 - 9*x - 14), set([(5, 6), (0, 11), (4, 8), (2, 10)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 0), (0, 11), (5, 7), (7, 5)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 - x^2 - x), set([(9, 2), (0, 11), (4, 9), (7, 6)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 2*x^2 - 3*x), set([(5, 6), (0, 11), (4, 9), (3, 10)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 2*x^2 - 2*x - 1), set([(0, 11), (3, 9), (4, 7), (2, 10)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + x^9 - 2*x^8 - x^7 - 2*x^5 - x^3 + 2*x^2 + 3), set([(9, 2), (0, 11), (3, 9), (7, 5)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^4 - x^3 - x^2 - x + 2), set([(6, 12), (0, 11), (14, 18), (8, 13)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 - x^6 - x^5 + x^3 + x^2 + x + 1), set([(0, 11), (5, 7), (10, 1), (6, 6)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - x^8 - x^7 + x + 1), set([(0, 11), (3, 9), (10, 1), (8, 4)]))
('Cluster size', 4, (x^10 - x - 1, alpha - 1), set([(11, 0), (0, 11), (10, 2), (2, 10)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 - x^3 - 2*x^2 + x + 2), set([(0, 11), (7, 13), (9, 14), (16, 19)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^5 + x^3 + 2), set([(11, 15), (0, 11), (16, 19), (5, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x^2 - 3*x - 1), set([(8, 14), (0, 11), (4, 12), (12, 17)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 - x^4 + x^3 + 2*x), set([(0, 11), (5, 7), (6, 5), (2, 10)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 11), (8, 8), (10, 1), (7, 9)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - 2*x^4 + x^3 + 3*x^2 + x - 1), set([(0, 11), (7, 13), (12, 17), (5, 12)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + x^3 - x^2 - 1), set([(7, 4), (4, 10), (0, 11), (6, 8)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha - x^5 + x^4 + x^2 + 1), set([(8, 9), (9, 2), (0, 11), (7, 10)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^5 - x^3 - 1), set([(0, 11), (3, 9), (8, 3), (6, 6)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^5 + x^4 - x^3 - x^2 - x - 2), set([(0, 11), (6, 5), (3, 10), (5, 8)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, alpha - 1), set([(11, 0), (5, 9), (0, 11), (9, 5)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(11, 0), (0, 11), (10, 3), (3, 10)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - x), set([(4, 10), (0, 11), (8, 3), (7, 7)]))

n = 12
('Cluster size', 4, (x^4 - x - 1, alpha - 14*x^4 - 4*x^3 + 3*x^2 + 12*x + 19), set([(4, 9), (5, 7), (2, 11), (0, 12)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(6, 11), (12, 0), (11, 6), (0, 12)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^4 + x^2 + x - 1), set([(5, 9), (4, 10), (7, 5), (0, 12)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^3), set([(6, 11), (8, 9), (9, 3), (0, 12)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 8), (8, 11), (12, 0), (0, 12)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 - 2*x^3 + 2*x^2 + 4*x + 2), set([(12, 18), (7, 14), (5, 13), (0, 12)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - 2*x^3 - x^2 - 2*x - 1), set([(8, 4), (5, 11), (7, 9), (0, 12)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^6 - x^5 - x^4), set([(7, 11), (9, 3), (8, 10), (0, 12)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 - x^8 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(9, 8), (11, 1), (7, 10), (0, 12)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha + x^8 - x^5 - x^2), set([(7, 6), (10, 2), (4, 9), (0, 12)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - x^7 + x^2), set([(6, 9), (11, 1), (8, 7), (0, 12)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - x^5), set([(8, 9), (10, 2), (7, 10), (0, 12)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^10 - x^9 + x^8 + x^6 - x^5 - x^3 - x - 1), set([(7, 6), (8, 4), (2, 11), (0, 12)]))
('Cluster size', 4, (x^9 - x - 1, alpha + 2*x^14 + x^13 + 2*x^12 + x^11 + x^10 + x^9 + x^8 - x^7 - 2*x^6 - 3*x^5 - 3*x^4 - 3*x^3 - 2*x^2 - 2*x - 2), set([(10, 2), (2, 11), (9, 4), (0, 12)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^3 + x + 2), set([(6, 6), (5, 10), (4, 11), (0, 12)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - 1), set([(5, 9), (9, 5), (12, 0), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 0), (8, 5), (5, 8), (0, 12)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^6 - x^4 - x^3), set([(9, 3), (6, 10), (7, 9), (0, 12)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - 1), set([(12, 0), (6, 10), (10, 6), (0, 12)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha - 1), set([(10, 7), (12, 0), (7, 10), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 9), (9, 8), (12, 0), (0, 12)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^4 + x^2), set([(8, 8), (6, 10), (10, 2), (0, 12)]))
('Cluster size', 4, (x^10 - x - 1, alpha - x^9 + 1), set([(10, 3), (11, 1), (2, 11), (0, 12)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha - 1), set([(4, 10), (12, 0), (10, 4), (0, 12)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x), set([(9, 3), (8, 7), (4, 11), (0, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - x^3 + x^2 + x - 1), set([(7, 11), (10, 2), (9, 9), (0, 12)]))
('Cluster size', 4, (x^8 - x - 1, alpha - 2*x^12 - x^10 - x^8 - x^7 + x^6 + x^5 + 2*x^4 + x^3 + x^2 + x + 2), set([(8, 5), (9, 3), (2, 11), (0, 12)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 10), (12, 0), (10, 11), (0, 12)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - 1), set([(6, 9), (12, 0), (9, 6), (0, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + x^3 - x^2 - 2*x), set([(3, 10), (6, 6), (4, 9), (0, 12)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 54*x^4 - 15*x^3 + 11*x^2 + 46*x + 75), set([(3, 13), (7, 15), (10, 17), (0, 12)]))
('Cluster size', 4, (x^6 - x - 1, alpha - x^5 + x^4 - x^3 + x^2 - x + 1), set([(6, 7), (7, 5), (2, 11), (0, 12)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - 3*x^4 + 2*x^2 + 4*x - 1), set([(14, 19), (6, 14), (8, 15), (0, 12)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^6), set([(9, 10), (8, 11), (10, 2), (0, 12)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 5), (5, 11), (12, 0), (0, 12)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 2*x - 3), set([(4, 10), (5, 7), (3, 11), (0, 12)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - x^3), set([(10, 2), (6, 7), (5, 8), (0, 12)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha - 1), set([(8, 6), (12, 0), (6, 8), (0, 12)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, alpha - x^7 + x^5 - x^4 + x^2), set([(9, 6), (11, 1), (5, 10), (0, 12)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, alpha - x^9 - x^8 + x + 1), set([(3, 10), (11, 1), (9, 4), (0, 12)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 2*x^7 + x^4 + x^3 + 2*x^2 + 2*x + 1), set([(8, 4), (7, 8), (4, 11), (0, 12)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 2*x^6 - 4*x^5 + 4*x^4 - 5*x^3 + 4*x^2 - 4*x + 3), set([(7, 5), (6, 8), (3, 11), (0, 12)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 6*x^6 - 7*x^5 + 4*x^4 - 5*x^3 + 14*x^2 + 3*x + 19), set([(4, 13), (10, 16), (14, 19), (0, 12)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^3 + x^2 - x + 1), set([(6, 6), (2, 11), (5, 8), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(9, 10), (12, 0), (10, 9), (0, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 2*x - 1), set([(3, 10), (4, 8), (2, 11), (0, 12)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - x^5 + x), set([(6, 9), (10, 2), (7, 8), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha - 1), set([(3, 10), (12, 0), (10, 3), (0, 12)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha - x^8 - x^6 + x^3 + x), set([(7, 7), (11, 1), (6, 8), (0, 12)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 + x), set([(5, 11), (10, 6), (11, 1), (0, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 3*x - 2), set([(4, 13), (12, 18), (8, 15), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 6), (12, 0), (6, 7), (0, 12)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(8, 11), (11, 1), (10, 9), (0, 12)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha - x^8 + x), set([(4, 10), (9, 5), (11, 1), (0, 12)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha - x^8 + x^3 + x), set([(11, 1), (6, 10), (9, 7), (0, 12)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha - 1), set([(12, 0), (11, 3), (3, 11), (0, 12)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^5 - x^3 + x^2 - x - 1), set([(3, 10), (7, 5), (5, 8), (0, 12)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^4), set([(6, 11), (9, 8), (10, 2), (0, 12)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - x^5 + x^4), set([(6, 11), (10, 7), (11, 1), (0, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 2*x^2 + 2*x + 1), set([(5, 14), (8, 16), (3, 13), (0, 12)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^4 - x^2 - 1), set([(4, 10), (8, 4), (6, 8), (0, 12)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^6 + x^4 - x^3 + x + 1), set([(7, 7), (8, 4), (3, 11), (0, 12)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(7, 11), (11, 1), (10, 8), (0, 12)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha - x^6 + x^3), set([(8, 8), (7, 9), (11, 1), (0, 12)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + x^2 + 2*x - 5), set([(4, 13), (6, 14), (10, 17), (0, 12)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^3), set([(10, 2), (5, 11), (9, 7), (0, 12)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 + 4*x^8 + x^7 + 2*x^6 - 2*x^4 - 3*x^3 - 4*x^2 - 4*x - 3), set([(3, 10), (9, 3), (7, 6), (0, 12)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha - x^6 + 1), set([(4, 10), (8, 6), (10, 2), (0, 12)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(10, 8), (12, 0), (8, 10), (0, 12)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha + x^12 + 2*x^11 + x^10 + x^9 + 2*x^8 - x^6 - x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 1), set([(3, 10), (10, 2), (8, 5), (0, 12)]))
('Cluster size', 4, (x^5 - x - 1, alpha + 3*x^6 - x^5 + 3*x^4 - 3*x^3 - 4*x - 1), set([(12, 18), (9, 16), (3, 13), (0, 12)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 2*x^8 - 6*x^7 - 5*x^6 - x^5 + x^4 + 2*x^3 + 5*x^2 + 7*x + 5), set([(3, 10), (8, 4), (6, 7), (0, 12)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 - x^2 - x), set([(6, 9), (8, 4), (5, 10), (0, 12)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^10 + 2*x^9 + x^8 - x^6 - 2*x^5 - 2*x^4 - 3*x^3 - 2*x^2 - 2*x), set([(10, 2), (5, 10), (8, 7), (0, 12)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^8 - x^6 + x^5 - x^4 + x^3 + x), set([(5, 9), (8, 6), (11, 1), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 5), (12, 0), (5, 10), (0, 12)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^3 - x^2), set([(6, 11), (8, 4), (7, 10), (0, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 + 3*x^3 + x^2 - 3*x - 3), set([(5, 14), (12, 18), (7, 15), (0, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + 2*x^4 - x^3 - x^2 - 3*x - 1), set([(14, 19), (8, 14), (6, 13), (0, 12)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 - x^8 - x^7 - x^6 + x^3 + x^2 + x + 1), set([(7, 6), (11, 1), (5, 8), (0, 12)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 10*x^4 + 8*x^3 + 4*x^2 - 3*x + 12), set([(14, 19), (9, 15), (5, 13), (0, 12)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha - x^9 - x^8 - x^7 + x^2 + x + 1), set([(8, 5), (11, 1), (4, 9), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 0), (7, 8), (8, 7), (0, 12)]))
('Cluster size', 4, (x^11 - x - 1, alpha - 1), set([(11, 2), (12, 0), (2, 11), (0, 12)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(10, 4), (11, 1), (3, 11), (0, 12)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^4 - x - 1), set([(8, 4), (4, 9), (5, 8), (0, 12)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha - x^6 + x^5 + x - 1), set([(11, 1), (9, 9), (8, 10), (0, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^2 - x - 1), set([(6, 10), (7, 5), (5, 11), (0, 12)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha + x^6 - x^4 - x^3 + x^2 - 1), set([(5, 9), (10, 2), (7, 7), (0, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + x), set([(8, 8), (9, 3), (5, 11), (0, 12)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 4*x^4 + 3*x^3 + 2*x^2 - x + 4), set([(6, 9), (7, 5), (4, 11), (0, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 - x - 1), set([(4, 10), (9, 3), (7, 7), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 0), (4, 9), (9, 4), (0, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 2*x^2 + x + 2), set([(5, 9), (6, 6), (3, 11), (0, 12)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^6 - x^3 - x), set([(6, 7), (9, 3), (4, 9), (0, 12)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha + 2*x^13 + x^12 + x^11 + 2*x^10 + x^9 + x^8 - x^7 - 2*x^6 - 3*x^5 - 4*x^4 - 4*x^3 - 4*x^2 - 4*x - 1), set([(9, 5), (10, 2), (3, 11), (0, 12)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^9 + x^8 - x^6 + x^4 + x), set([(10, 2), (9, 6), (4, 11), (0, 12)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 0), (11, 4), (4, 11), (0, 12)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x^2), set([(7, 8), (9, 3), (5, 10), (0, 12)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 17*x^8 - 4*x^7 - 14*x^6 - 6*x^5 + 5*x^4 + 13*x^3 + 24*x^2 + 16*x + 22), set([(14, 19), (3, 13), (11, 17), (0, 12)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 0), (9, 11), (11, 9), (0, 12)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^8 + x^7 + x^5 + x^3 + x), set([(9, 11), (11, 1), (10, 10), (0, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 0), (7, 9), (9, 7), (0, 12)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^6 - x^3 - x^2), set([(5, 9), (9, 3), (6, 8), (0, 12)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^9 - x^8 + 2*x^7 - x^6 + x^5 - 2*x^4 + x^3 - 2*x^2 - 2), set([(8, 6), (9, 3), (3, 11), (0, 12)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 11), (12, 0), (11, 7), (0, 12)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha - x^9 + x^2 + x + 1), set([(10, 5), (11, 1), (4, 11), (0, 12)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + 3*x^5 + 2*x^4 - 2*x^3 + x^2 - 2*x - 3), set([(5, 14), (14, 19), (9, 16), (0, 12)]))

n = 13
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(3, 12), (0, 13), (13, 0), (12, 3)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (0, 13), (8, 10), (9, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 - x + 3), set([(4, 9), (0, 13), (2, 12), (3, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^4 - x^3 + x^2 - 2*x), set([(3, 12), (0, 13), (5, 10), (6, 7)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^5 + x^3), set([(8, 5), (6, 9), (0, 13), (4, 11)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha - 1), set([(6, 11), (0, 13), (13, 0), (11, 6)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (11, 9), (0, 13), (8, 12)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, alpha - 1), set([(4, 10), (0, 13), (10, 4), (13, 0)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (11, 10), (0, 13), (9, 12)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha + 4*x^13 + x^11 + 3*x^10 + x^9 - 3*x^7 - 4*x^5 - 5*x^3 + x^2 - 6*x + 2), set([(9, 5), (11, 2), (0, 13), (3, 11)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^7 + x^6 + x^4 + x^2 + 1), set([(10, 11), (11, 2), (0, 13), (9, 12)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(5, 10), (10, 5), (0, 13), (13, 0)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 - x), set([(4, 10), (10, 3), (0, 13), (7, 7)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 - x^7 - x^6 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (0, 13), (6, 8), (7, 7)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - 1), set([(4, 12), (0, 13), (9, 4), (8, 8)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 75*x^4 + 21*x^3 - 15*x^2 - 64*x - 104), set([(7, 16), (0, 13), (3, 14), (10, 18)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^5 - x^4 - x^3), set([(7, 12), (8, 11), (0, 13), (9, 4)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha - 1), set([(10, 6), (6, 10), (0, 13), (13, 0)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^3), set([(6, 12), (10, 3), (0, 13), (9, 9)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^6 - x^5 - x^4 + x^3 + x^2 + x), set([(4, 10), (0, 13), (8, 5), (5, 9)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha - 1), set([(9, 6), (6, 9), (0, 13), (13, 0)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - x^12 - x^11 - x^9 - x^8 + x^7 + x^4 + x^3 + x^2 + x), set([(8, 6), (10, 3), (0, 13), (3, 11)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^5 - x^2 + 2*x), set([(5, 9), (7, 6), (0, 13), (3, 11)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^7 - x^5), set([(7, 11), (11, 2), (0, 13), (9, 9)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - x^4 + 1), set([(10, 3), (6, 10), (0, 13), (7, 9)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + x^3 + 2*x - 1), set([(6, 11), (5, 12), (0, 13), (7, 6)]))
('Cluster size', 4, (x^10 - x - 1, alpha + x^9 - x^8 - 1), set([(11, 2), (0, 13), (2, 12), (10, 4)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha - x^9 + x^5 + x^3 + x), set([(12, 1), (8, 11), (0, 13), (10, 9)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 + 1), set([(10, 7), (5, 12), (0, 13), (11, 2)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^6 - x^4 + x^3 - 2*x), set([(8, 5), (0, 13), (3, 11), (6, 8)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^6 + x^5 - x^4 + x^3 - x^2 + 1), set([(8, 5), (0, 13), (2, 12), (7, 7)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - x^2), set([(6, 12), (0, 13), (8, 10), (9, 4)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha - x^7 + x^2 + 1), set([(6, 11), (9, 8), (0, 13), (11, 2)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - x^4 + x^3), set([(6, 12), (11, 2), (0, 13), (10, 8)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^6), set([(11, 2), (10, 10), (0, 13), (8, 12)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, alpha - 1), set([(0, 13), (3, 11), (13, 0), (11, 3)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^8 + x^7 - x^6 - x^4 - x^3 - 2*x^2 - x), set([(8, 5), (4, 12), (0, 13), (7, 9)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha - x^10 - x^9 + x + 1), set([(12, 1), (0, 13), (3, 11), (10, 4)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^3 - x), set([(7, 9), (0, 13), (9, 4), (5, 11)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (9, 8), (0, 13), (7, 10)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^3 + x), set([(6, 11), (8, 9), (10, 3), (0, 13)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha - 1), set([(7, 12), (12, 7), (0, 13), (13, 0)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - x^4 + x^3 + 1), set([(7, 12), (9, 10), (10, 3), (0, 13)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^8 + x^7 - x^5 + x^3 + 1), set([(10, 3), (4, 12), (0, 13), (9, 7)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 6), (0, 13), (6, 8), (13, 0)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(5, 9), (0, 13), (13, 0), (9, 5)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 + 2*x^5 - 2*x^4 + 3*x^3 - 2*x^2 + 2*x - 2), set([(12, 19), (0, 13), (9, 17), (3, 14)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha - 1), set([(9, 7), (0, 13), (13, 0), (7, 9)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 - x^7 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (8, 8), (0, 13), (7, 9)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 + x^2 + x + 1), set([(4, 10), (0, 13), (12, 1), (9, 5)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(10, 7), (0, 13), (13, 0), (7, 10)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 + x^10 + x^9 + x^7 - x^4 - x^3 - 2*x^2 - 2*x - 1), set([(10, 3), (5, 12), (0, 13), (9, 8)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha - 1), set([(11, 4), (0, 13), (13, 0), (4, 11)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 8), (0, 13), (13, 0), (8, 12)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha - x^10 + x + 1), set([(3, 12), (12, 1), (0, 13), (11, 4)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 3*x^6 + 2*x^5 - x^4 + x^3 - 5*x^2 - 2*x - 7), set([(3, 12), (6, 9), (0, 13), (7, 6)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha - x^9 + x), set([(12, 1), (10, 5), (0, 13), (4, 11)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 + x^3 + x^2 + x + 1), set([(12, 1), (10, 6), (0, 13), (5, 11)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^4), set([(7, 11), (10, 3), (0, 13), (8, 10)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - 5*x^2 + 6*x + 2), set([(6, 15), (0, 13), (4, 14), (10, 18)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^7 - x^5 + x^4 - x^3 + x^2 + 1), set([(5, 10), (11, 2), (0, 13), (8, 7)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 11), (0, 13), (13, 0), (11, 7)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^14 - x^13 + 2*x^12 - x^11 + x^10 - x^9 + x^8 - 2*x^7 + x^6 - 2*x^5 - 2*x^3 - x + 1), set([(3, 12), (10, 5), (0, 13), (11, 2)]))
('Cluster size', 4, (x^8 - x - 1, alpha + x^7 - x^6 + x^5 - x^4 - 1), set([(8, 6), (0, 13), (2, 12), (9, 4)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - x^8 + x^2), set([(12, 1), (6, 10), (0, 13), (9, 7)]))
('Cluster size', 4, (x^11 - x - 1, alpha - x^10 + 1), set([(12, 1), (0, 13), (2, 12), (11, 3)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + 2*x^4 - x^3 - 4*x^2 + 2), set([(5, 14), (0, 13), (7, 15), (12, 19)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - 1), set([(4, 12), (0, 13), (13, 0), (12, 4)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 + x^3 + x^2 + x + 1), set([(9, 6), (5, 10), (0, 13), (12, 1)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha - 1), set([(8, 9), (9, 8), (0, 13), (13, 0)]))
('Cluster size', 4, (x^12 - x - 1, alpha - 1), set([(12, 2), (0, 13), (2, 12), (13, 0)]))
('Cluster size', 4, (x^9 - x - 1, alpha - 2*x^14 - x^12 - x^10 - x^9 - x^8 + x^7 + x^6 + 2*x^5 + x^4 + x^3 + x^2 + 2*x + 2), set([(9, 5), (10, 3), (0, 13), (2, 12)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x + 1), set([(8, 9), (5, 12), (0, 13), (9, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 3*x^4 - 2*x^3 + 3*x^2 + 4*x), set([(7, 16), (5, 15), (0, 13), (12, 19)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha - x^11 - x^10 - x^9 - x^7 + x^4 + x^3 + 2*x^2 + x + 2), set([(9, 6), (11, 2), (0, 13), (4, 11)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(11, 8), (8, 11), (0, 13), (13, 0)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + 2*x^4 - 3*x^2 - 2*x - 1), set([(6, 7), (4, 12), (0, 13), (5, 11)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(7, 8), (0, 13), (13, 0), (8, 7)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 + x^3 + x^2 + x + 1), set([(12, 1), (5, 12), (0, 13), (11, 6)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 19*x^4 + 5*x^3 - 4*x^2 - 16*x - 26), set([(4, 10), (0, 13), (2, 12), (5, 8)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 5), (0, 13), (13, 0), (5, 11)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(9, 11), (0, 13), (13, 0), (11, 9)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - 3*x^2 + 3*x + 2), set([(3, 12), (0, 13), (5, 8), (4, 11)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^5 - x^2 - x), set([(5, 10), (6, 9), (0, 13), (9, 4)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^10 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 12), (11, 8), (0, 13), (12, 1)]))
('Cluster size', 4, (x^6 - x - 1, alpha + x^5 - x^4 + x^3 - x^2 + x - 2), set([(7, 6), (0, 13), (2, 12), (6, 8)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha - 1), set([(12, 5), (5, 12), (0, 13), (13, 0)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha - x^9 - x^7 + x^3 + x), set([(12, 1), (6, 9), (0, 13), (8, 7)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha - 1), set([(12, 9), (0, 13), (13, 0), (9, 12)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^9 + 2*x^8 + x^7 - x^5 - 2*x^4 - 2*x^3 - 3*x^2 - 2*x - 2), set([(10, 3), (8, 8), (0, 13), (5, 11)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^5 - x^3 - x^2), set([(6, 11), (0, 13), (9, 4), (7, 10)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha - x^10 + x^2 + x + 1), set([(12, 1), (4, 12), (0, 13), (11, 5)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(6, 12), (0, 13), (12, 6), (13, 0)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(9, 10), (0, 13), (13, 0), (10, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 2*x^2 - x + 5), set([(8, 16), (0, 13), (4, 14), (12, 19)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(12, 10), (0, 13), (10, 12), (13, 0)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^9 + x^6 - x^5 - x^4 - 2*x^2 - x), set([(3, 12), (8, 5), (0, 13), (7, 8)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha + 3*x^9 + x^7 - x^5 - 3*x^3 - 4*x), set([(10, 3), (0, 13), (8, 7), (4, 11)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (0, 13), (10, 12), (11, 11)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 - x^2 - x), set([(6, 12), (0, 13), (8, 5), (7, 11)]))
('Cluster size', 4, (x^5 - x - 1, alpha + 2*x^6 + 2*x^5 + x^4 - 3*x^2 - 3*x - 4), set([(5, 9), (0, 13), (2, 12), (6, 7)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha + 2*x^14 + x^13 + x^12 + x^11 + 2*x^10 + x^9 - x^8 - 2*x^7 - 3*x^6 - 4*x^5 - 5*x^4 - 5*x^3 - 5*x^2 - 3*x - 2), set([(10, 6), (11, 2), (4, 12), (0, 13)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - x^2 + 2*x - 1), set([(6, 10), (7, 6), (4, 12), (0, 13)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + x^5 - x^2 - 1), set([(4, 10), (0, 13), (6, 8), (9, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^8 - x^7 + x^5 + x^2 + x), set([(7, 8), (0, 13), (9, 4), (4, 11)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(11, 12), (0, 13), (13, 0), (12, 11)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^5 - x^3), set([(5, 9), (11, 2), (0, 13), (7, 7)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 - 2*x + 1), set([(8, 17), (5, 15), (0, 13), (3, 14)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^5), set([(10, 3), (9, 11), (0, 13), (8, 12)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha - x^6 + x^4), set([(7, 11), (0, 13), (12, 1), (10, 8)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^3 + x^2 - x - 2), set([(4, 10), (0, 13), (3, 11), (6, 7)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^3 - x - 1), set([(8, 5), (6, 10), (0, 13), (5, 11)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 - x^2 - 1), set([(8, 5), (5, 12), (0, 13), (7, 10)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha - 1), set([(10, 8), (0, 13), (8, 10), (13, 0)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha + x^9 - 3*x^8 - x^7 + 2*x^6 - 3*x^5 + x^4 + x^3 + x + 3), set([(11, 2), (9, 7), (0, 13), (5, 11)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(10, 11), (11, 10), (0, 13), (13, 0)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha - x^5 + x^2), set([(8, 9), (11, 2), (0, 13), (7, 10)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 2*x^10 - x^8 - x^7 + x^5 + x^4 + 2*x^3 + 3*x^2 + 2*x + 2), set([(3, 12), (0, 13), (9, 4), (8, 7)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^3 - x^2), set([(5, 9), (10, 3), (0, 13), (6, 8)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 - x^7 + x^3 + x^2 + x + 1), set([(5, 9), (0, 13), (12, 1), (8, 6)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha - x^6 + x^4 + x), set([(9, 10), (8, 11), (0, 13), (11, 2)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^4 - x^3 + 2*x + 1), set([(5, 10), (7, 6), (0, 13), (4, 11)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 1), (9, 11), (0, 13), (10, 10)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(7, 12), (11, 2), (0, 13), (10, 9)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha - x^7 - x^5 + x^2 + 1), set([(7, 8), (6, 9), (0, 13), (11, 2)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha + x^9 - x^6 - x^2), set([(4, 10), (11, 2), (0, 13), (8, 6)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - x^6 + x), set([(11, 2), (6, 10), (0, 13), (8, 8)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^9 + x^3 + x), set([(6, 11), (10, 7), (0, 13), (12, 1)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - 3*x^9 + x^7 - 2*x^6 + 2*x^5 + x^3 + 2*x - 1), set([(0, 13), (3, 11), (9, 4), (7, 7)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^9 - x^8 + x^3 + x + 1), set([(5, 10), (10, 3), (0, 13), (7, 8)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 + x^4 + x^3 + x^2 + x + 1), set([(6, 12), (0, 13), (12, 1), (11, 7)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - x^6 + x^5 - x^3 + x), set([(9, 6), (3, 12), (10, 3), (0, 13)]))

n = 14
('Cluster size', 4, (x^13 + x^12 - x^2 - x - 1, alpha - 1), set([(0, 14), (3, 12), (14, 0), (12, 3)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - x^4 - x + 2), set([(0, 14), (3, 12), (5, 10), (7, 7)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha + 2*x^17 + x^16 + x^15 + 2*x^14 + x^13 + x^12 + x^11 + x^10 - x^9 - 2*x^8 - 3*x^7 - 4*x^6 - 4*x^5 - 4*x^4 - 4*x^3 - 3*x^2 - 3*x - 1), set([(0, 14), (12, 2), (11, 5), (3, 13)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^2 + x - 3), set([(0, 14), (8, 18), (5, 16), (3, 15)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha - 2*x^14 - x^12 - x^11 - x^10 + x^8 + x^7 + 2*x^6 + 3*x^5 + 4*x^4 + 3*x^3 + 3*x^2 + x + 1), set([(4, 13), (0, 14), (11, 3), (10, 7)]))
('Cluster size', 4, (x^7 - x - 1, alpha + x^6 - x^5 + x^4 - x^3 + x^2 - x - 1), set([(0, 14), (2, 13), (7, 8), (8, 6)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^4 + x^2), set([(0, 14), (6, 10), (4, 12), (8, 6)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha - 1), set([(0, 14), (7, 13), (13, 7), (14, 0)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - x^2), set([(0, 14), (5, 10), (11, 3), (7, 8)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (10, 5), (5, 10), (14, 0)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x^3), set([(7, 12), (0, 14), (8, 11), (10, 4)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha - x^8 + x^4 + x^2 + 1), set([(0, 14), (12, 2), (10, 10), (8, 12)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 5*x^4 + 4*x^3 + x^2 - x + 7), set([(4, 13), (0, 14), (6, 11), (7, 7)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (7, 8), (14, 0), (8, 7)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 + x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3), set([(0, 14), (12, 2), (5, 13), (11, 7)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (11, 4), (14, 0), (4, 11)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha - x^10 + x^5 + x^3 + x), set([(0, 14), (11, 9), (13, 1), (8, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^7 - x^5 - x^4 - x - 1, alpha - 1), set([(0, 14), (9, 7), (14, 0), (7, 9)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^2), set([(9, 10), (0, 14), (10, 4), (6, 13)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha + x^8 + x^7 - x^6 - 2*x^5 + x^3 - x - 1), set([(7, 12), (0, 14), (10, 9), (12, 2)]))
('Cluster size', 4, (x^12 + x^10 - x^4 - x^2 - 1, alpha - 1), set([(0, 14), (6, 10), (10, 6), (14, 0)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, alpha - x^11 - x^10 + x + 1), set([(0, 14), (3, 12), (11, 4), (13, 1)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha + 2*x^13 + 6*x^12 + 2*x^11 + 3*x^10 + 5*x^9 + 3*x^8 - 3*x^6 - 2*x^5 - 6*x^4 - 4*x^3 - 7*x^2 - 3*x - 8), set([(9, 6), (0, 14), (3, 12), (11, 3)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha + x^16 + 2*x^15 + x^14 + x^13 + 2*x^12 + x^11 + x^10 - x^8 - x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x), set([(0, 14), (10, 5), (3, 12), (12, 2)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^10 - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(0, 14), (13, 1), (10, 8), (7, 11)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^6 - x^3), set([(0, 14), (5, 10), (8, 7), (12, 2)]))
('Cluster size', 4, (x^11 - x^3 - 1, alpha - 1), set([(6, 11), (0, 14), (14, 0), (11, 6)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha + 2*x^12 + 2*x^11 + x^10 + x^9 + x^8 - x^6 - 2*x^5 - 2*x^4 - 3*x^3 - 3*x^2 - 2*x - 1), set([(0, 14), (4, 12), (11, 3), (9, 7)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^8 - x^7 - x^6), set([(0, 14), (11, 3), (10, 12), (9, 13)]))
('Cluster size', 4, (x^10 - x - 1, alpha - 2*x^16 - x^14 - x^12 - x^11 - x^10 - x^9 + x^8 + x^7 + 2*x^6 + x^5 + x^4 + x^3 + 2*x^2 + 2*x + 2), set([(0, 14), (2, 13), (10, 5), (11, 3)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha - x^12 - x^8 + x^4 + x^2 + 1), set([(0, 14), (4, 12), (10, 6), (12, 2)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x), set([(0, 14), (10, 4), (5, 13), (9, 9)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - 2*x^13 - 3*x^12 - x^11 - 2*x^10 - 2*x^9 - x^8 + 3*x^6 + 4*x^5 + 6*x^4 + 6*x^3 + 5*x^2 + 5*x + 3), set([(0, 14), (9, 7), (10, 4), (3, 13)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha - x^8 + x^7 + x^3), set([(0, 14), (12, 10), (13, 1), (9, 13)]))
('Cluster size', 4, (x^10 - x^4 - 1, alpha - 1), set([(14, 0), (0, 14), (8, 10), (10, 8)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + x^8 + x^5 - x^4 - x^3 - 2*x - 1), set([(8, 6), (0, 14), (7, 9), (3, 13)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (11, 10), (10, 11), (14, 0)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha - x^4 + x), set([(0, 14), (11, 3), (8, 10), (7, 11)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - x^9 - 4*x^8 - x^7 - 2*x^5 + 2*x^4 + x^3 + 2*x^2 + 2*x + 3), set([(0, 14), (3, 12), (7, 8), (9, 5)]))
('Cluster size', 4, (x^11 + x^10 - x^8 + x^6 - x^4 - x - 1, alpha - 1), set([(0, 14), (11, 5), (14, 0), (5, 11)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^7), set([(0, 14), (12, 2), (11, 11), (9, 13)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (14, 0), (11, 7), (7, 11)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha - x^8 + x^3), set([(0, 14), (13, 1), (8, 10), (9, 9)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 + 2*x^2 - 1), set([(6, 11), (0, 14), (5, 12), (8, 6)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - x^5 + 1), set([(6, 11), (0, 14), (8, 9), (11, 3)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 - x^9 + x^2 + x + 1), set([(0, 14), (10, 5), (4, 11), (13, 1)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha - 1), set([(0, 14), (13, 11), (14, 0), (11, 13)]))
('Cluster size', 4, (x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (12, 9), (14, 0), (9, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - x^7 - x^6 + x^4 + x + 1), set([(0, 14), (4, 12), (9, 5), (7, 9)]))
('Cluster size', 4, (x^5 - x - 1, alpha - 4*x^6 - 2*x^5 - 2*x^4 + x^3 + 4*x^2 + 5*x + 5), set([(0, 14), (2, 13), (5, 10), (6, 8)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^10 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 + x), set([(0, 14), (10, 6), (13, 1), (5, 11)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 3*x^5 + x^3 + 2*x^2 + 4*x + 1), set([(0, 14), (5, 11), (6, 8), (3, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + x^3 + 2*x^2 + 1), set([(0, 14), (8, 6), (5, 13), (7, 11)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha - x^6 + x^5), set([(0, 14), (7, 13), (13, 1), (12, 8)]))
('Cluster size', 4, (x^8 - x - 1, alpha - x^9 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 + x + 1), set([(0, 14), (2, 13), (8, 7), (9, 5)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^4 - x^2 - x), set([(0, 14), (9, 5), (7, 11), (6, 12)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha + x^9 + x^8 + x^7 + x^6 - x^4 - 2*x^3 - x^2 - 2*x - 1), set([(0, 14), (7, 9), (10, 4), (5, 11)]))
('Cluster size', 4, (x^9 - x^5 - 1, alpha - 1), set([(9, 10), (0, 14), (14, 0), (10, 9)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^4 - x^3 - x^2), set([(0, 14), (7, 13), (9, 5), (8, 12)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^2 - x), set([(0, 14), (6, 9), (5, 10), (10, 4)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha + x^10 - x^7 - x^2), set([(0, 14), (9, 6), (4, 11), (12, 2)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^10 + x^9 + x^7 + x^5 + x^3 + x), set([(0, 14), (12, 12), (13, 1), (11, 13)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha - x^5 + x^3 + 1), set([(0, 14), (9, 11), (11, 3), (8, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha + x^7 - x^5 - 2*x^3 - 1), set([(0, 14), (7, 13), (10, 4), (9, 11)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 3*x^10 + x^8 + 2*x^7 + 3*x^6 + 2*x^5 + 3*x^4 + 3*x^3 + 3*x^2 + 3*x + 3), set([(0, 14), (10, 11), (8, 13), (11, 3)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^10 - x^8 - x^6 + x^5 + x^3 + x), set([(0, 14), (8, 8), (13, 1), (7, 9)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^4), set([(0, 14), (8, 13), (10, 4), (9, 12)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha - x^9 - x^6 + x^5 + x^2), set([(0, 14), (9, 8), (7, 10), (13, 1)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 2*x^2 - 7*x + 6), set([(0, 14), (4, 15), (10, 19), (6, 16)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^7 + x^6 - x^5 - x^3 - x^2 - 2*x - 1), set([(4, 13), (0, 14), (7, 10), (8, 6)]))
('Cluster size', 4, (x^8 - x^6 - 1, alpha - 1), set([(0, 14), (12, 8), (14, 0), (8, 12)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 3*x^8 + 3*x^5 + 4*x^4 + 2*x^3 + 3*x^2 + 2*x + 3), set([(0, 14), (8, 11), (6, 13), (9, 5)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^4 - x^3 - 1), set([(0, 14), (9, 5), (5, 13), (8, 10)]))
('Cluster size', 4, (x^12 - x^2 - 1, alpha - 1), set([(0, 14), (4, 12), (14, 0), (12, 4)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 12), (0, 14), (11, 8), (13, 1)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^5 - x^4), set([(0, 14), (6, 9), (7, 8), (12, 2)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^10 + x^7 + x^5 + x^3 + x), set([(0, 14), (13, 1), (10, 12), (11, 11)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 2*x^4 - 2*x^3 + x^2 + 3*x + 1), set([(0, 14), (3, 12), (6, 8), (4, 11)]))
('Cluster size', 4, (x^9 - x - 1, alpha + x^8 - x^7 + x^6 - x^5 - 1), set([(0, 14), (2, 13), (9, 6), (10, 4)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^7 - x^6), set([(9, 10), (0, 14), (8, 11), (12, 2)]))
('Cluster size', 4, (x^11 - x - 1, alpha + 2*x^18 + x^17 + 2*x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^9 - 2*x^8 - 3*x^7 - 3*x^6 - 3*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(0, 14), (2, 13), (11, 4), (12, 2)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha - x^10 - x^8 + x^3 + x), set([(0, 14), (6, 10), (13, 1), (9, 7)]))
('Cluster size', 4, (x^13 - x - 1, alpha - 1), set([(0, 14), (2, 13), (13, 2), (14, 0)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha - x^8 - x^6 + x^2 + 1), set([(0, 14), (12, 2), (6, 10), (8, 8)]))
('Cluster size', 4, (x^11 + x^8 - x^6 - x^3 - 1, alpha - 1), set([(8, 9), (0, 14), (9, 8), (14, 0)]))
('Cluster size', 4, (x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha - 1), set([(12, 5), (0, 14), (5, 12), (14, 0)]))
('Cluster size', 4, (x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (10, 13), (13, 10), (14, 0)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^8 - x^3), set([(10, 7), (0, 14), (5, 12), (12, 2)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 + 2*x^3 + x^2 - 2*x - 1), set([(4, 13), (0, 14), (5, 12), (6, 8)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^2 + 1), set([(0, 14), (10, 4), (8, 10), (6, 12)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 2*x^2 - 5*x + 3), set([(5, 9), (0, 14), (4, 12), (3, 13)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha + x^6 - x^3 - x^2), set([(6, 11), (0, 14), (10, 4), (7, 10)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha - x^10 + x^3 + x), set([(0, 14), (13, 1), (11, 7), (6, 12)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 26*x^4 - 7*x^3 + 5*x^2 + 22*x + 36), set([(0, 14), (2, 13), (4, 11), (5, 9)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + x^2 + x + 2), set([(7, 7), (0, 14), (5, 13), (6, 12)]))
('Cluster size', 4, (x^12 - x - 1, alpha - x^11 + 1), set([(0, 14), (2, 13), (12, 3), (13, 1)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^5), set([(0, 14), (7, 13), (11, 9), (12, 2)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^4), set([(11, 8), (0, 14), (6, 13), (12, 2)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^5 - x^4 - x^3 + x^2 + x + 1), set([(0, 14), (5, 10), (4, 11), (8, 6)]))
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(0, 14), (12, 4), (13, 1), (3, 13)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - x^4), set([(7, 12), (0, 14), (9, 10), (11, 3)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - x^7 + x), set([(6, 11), (0, 14), (9, 8), (12, 2)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^8 - x^7), set([(0, 14), (10, 11), (9, 12), (12, 2)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha + x^6 - x^4 - 1), set([(0, 14), (4, 12), (10, 4), (8, 8)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + x^5 - x^3 + x^2 - 2), set([(0, 14), (6, 9), (3, 12), (8, 6)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^8), set([(0, 14), (10, 13), (11, 12), (12, 2)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - 3*x^10 - 3*x^9 - 4*x^8 - x^7 + 3*x^5 + 7*x^4 + 9*x^3 + 11*x^2 + 8*x + 5), set([(4, 13), (0, 14), (8, 9), (9, 5)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^8 + x^2 + 1), set([(0, 14), (12, 2), (10, 8), (6, 12)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^8 - x^5 - x^2), set([(0, 14), (8, 8), (11, 3), (5, 11)]))
('Cluster size', 4, (x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 6), (0, 14), (14, 0), (6, 13)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha + x^8 - x^4 - x^3), set([(0, 14), (6, 10), (11, 3), (7, 9)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 6*x^8 - 2*x^7 - 5*x^6 - 2*x^5 + x^4 + 5*x^3 + 9*x^2 + 6*x + 8), set([(0, 14), (2, 13), (6, 9), (7, 7)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 - x^9 - x^8 - x^7 + x^4 + x^3 + x^2 + x + 1), set([(0, 14), (6, 9), (8, 7), (13, 1)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha + x^6 - x^3 - 1), set([(0, 14), (7, 8), (10, 4), (4, 11)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha - x^9 + x^8 + x^5 + x^2), set([(0, 14), (10, 13), (12, 11), (13, 1)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^7 - x^5), set([(0, 14), (12, 2), (9, 9), (7, 11)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha - x^7 + x^4), set([(0, 14), (8, 11), (10, 9), (13, 1)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^14 + x^13 + 2*x^11 + x^9 - 2*x^6 - x^5 - 3*x^4 - 2*x^3 - 3*x^2 - 2*x - 2), set([(0, 14), (10, 6), (11, 3), (3, 13)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^2 - x - 1), set([(7, 12), (0, 14), (6, 13), (8, 6)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 14), (8, 13), (12, 9), (13, 1)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x^2 - x - 4), set([(0, 14), (2, 13), (3, 12), (4, 10)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^6), set([(0, 14), (11, 10), (8, 13), (12, 2)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 7), (0, 14), (14, 0), (7, 10)]))
('Cluster size', 4, (x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (13, 9), (14, 0), (9, 13)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^6 - x^5), set([(8, 9), (0, 14), (7, 10), (12, 2)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 104*x^4 - 29*x^3 + 21*x^2 + 89*x + 144), set([(0, 14), (7, 17), (10, 19), (3, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha + x^6 - x^5 - 1), set([(4, 13), (0, 14), (9, 8), (10, 4)]))
('Cluster size', 4, (x^10 - x^8 - x^4 - 1, alpha - 1), set([(14, 0), (0, 14), (10, 12), (12, 10)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^5 + 2*x^4 - 2*x^3 + x^2 - x + 1), set([(0, 14), (8, 8), (9, 5), (3, 13)]))
('Cluster size', 4, (x^11 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(0, 14), (11, 12), (14, 0), (12, 11)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha - x^9 + x^2), set([(6, 11), (0, 14), (13, 1), (10, 7)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha - 1), set([(0, 14), (13, 3), (14, 0), (3, 13)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha + x^8 - x^5 - x), set([(0, 14), (8, 7), (4, 11), (11, 3)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha + 3*x^9 + x^8 - 3*x^7 + 2*x^6 - x^5 - 3*x^4 + x^3 - 2*x^2 - 3*x + 1), set([(0, 14), (5, 12), (9, 8), (11, 3)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 14), (11, 10), (9, 12), (13, 1)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^8 - x^7 - x^2), set([(0, 14), (11, 3), (5, 13), (10, 8)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 7*x^6 + 3*x^5 - 5*x^4 + 6*x^3 + x^2 + 9*x + 5), set([(0, 14), (6, 10), (7, 7), (3, 13)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha - x^10 + x), set([(0, 14), (4, 12), (13, 1), (11, 5)]))
('Cluster size', 4, (x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (8, 13), (14, 0), (13, 8)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^10 - x^7 - x^3), set([(0, 14), (12, 2), (9, 7), (5, 11)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + x^4 - x^3 - x^2 - x + 2), set([(0, 14), (4, 12), (7, 7), (5, 11)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 + x^4 + x^3 + x^2 + x + 1), set([(0, 14), (12, 7), (6, 13), (13, 1)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 + x^3 + x^2 + x + 1), set([(0, 14), (5, 12), (11, 6), (13, 1)]))
('Cluster size', 4, (x^13 - x^3 - x^2 - x - 1, alpha - 1), set([(4, 13), (0, 14), (13, 4), (14, 0)]))
('Cluster size', 4, (x^9 - x^7 + x^5 - x^4 - x^3 + x^2 - 1, alpha - 1), set([(0, 14), (9, 11), (14, 0), (11, 9)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x), set([(8, 9), (0, 14), (5, 12), (10, 4)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^8 + x^7 - x^6 + x^5 + x - 1), set([(0, 14), (9, 11), (13, 1), (10, 10)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha - x^8 + x^7 - x^4 + x^3), set([(0, 14), (13, 1), (5, 13), (12, 6)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - x^3 + x^2), set([(0, 14), (10, 9), (6, 13), (11, 3)]))
('Cluster size', 4, (x^13 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(14, 0), (0, 14), (5, 13), (13, 5)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 - x^9 - x^8 + x^3 + x^2 + x + 1), set([(9, 6), (0, 14), (5, 10), (13, 1)]))
('Cluster size', 4, (x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 13), (0, 14), (13, 12), (14, 0)]))
('Cluster size', 4, (x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 12), (0, 14), (12, 7), (14, 0)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha + x^8 - x^6 - x^3), set([(0, 14), (11, 3), (9, 9), (6, 12)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha + 2*x^16 + x^15 + x^14 + x^13 + 2*x^12 + x^11 + x^10 - x^9 - 2*x^8 - 3*x^7 - 4*x^6 - 5*x^5 - 5*x^4 - 5*x^3 - 5*x^2 - 3*x - 1), set([(4, 13), (0, 14), (11, 6), (12, 2)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + 2*x^9 - x^8 + x^7 - 2*x^6 - 3*x^4 - 2*x^2 - 2), set([(0, 14), (7, 13), (11, 3), (10, 10)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - x^9 + x^8 - x^6 + x^5 - x^3 + x^2), set([(4, 13), (0, 14), (12, 5), (13, 1)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 14), (6, 9), (9, 6), (14, 0)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^2 - 1), set([(0, 14), (5, 12), (7, 10), (9, 5)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 8), (0, 14), (8, 11), (14, 0)]))
('Cluster size', 4, (x^10 - x^8 + x^6 - x^4 - 1, alpha - 1), set([(14, 0), (0, 14), (12, 6), (6, 12)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - x^8 - x^7 + x^6 - x^4 + x + 1), set([(0, 14), (3, 12), (10, 4), (8, 7)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - 4*x^8 - 5*x^7 - 5*x^6 - x^5 + x^4 + 4*x^3 + 5*x^2 + 4*x + 5), set([(0, 14), (6, 9), (4, 11), (9, 5)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^4 - x - 1), set([(0, 14), (6, 10), (9, 5), (5, 11)]))

n = 15
('Cluster size', 4, (x^11 - x - 1, alpha - 2*x^18 - x^16 - x^14 - x^13 - x^12 - x^11 - x^10 + x^9 + x^8 + 2*x^7 + x^6 + x^5 + x^4 + 2*x^3 + 2*x^2 + 2*x + 2), set([(2, 14), (12, 3), (0, 15), (11, 5)]))
('Cluster size', 4, (x^11 - x^8 + x^5 - x^2 - x - 1, alpha - 1), set([(5, 14), (15, 0), (14, 5), (0, 15)]))
('Cluster size', 4, (x^3 - x - 1, alpha + x^5 - 2*x^4 + 2), set([(5, 12), (6, 9), (3, 14), (0, 15)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha + x^7 - x^5 - 1), set([(4, 13), (9, 8), (11, 4), (0, 15)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha - x^9 + 1), set([(4, 13), (13, 2), (11, 6), (0, 15)]))
('Cluster size', 4, (x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (13, 7), (0, 15), (6, 14)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^7 - x^2), set([(10, 8), (12, 3), (5, 13), (0, 15)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(2, 14), (8, 7), (0, 15), (7, 9)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 3*x^2 - x - 5), set([(4, 13), (5, 10), (3, 14), (0, 15)]))
('Cluster size', 4, (x^11 - x^3 - 1, alpha - x^10 + x^2), set([(6, 12), (14, 1), (0, 15), (11, 7)]))
('Cluster size', 4, (x^10 - x^8 + x^6 - x^4 - 1, alpha - x^9 + x^7 - x^5 + x^3), set([(12, 7), (14, 1), (6, 13), (0, 15)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 2*x^10 + x^7 + x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + 2*x + 2), set([(11, 4), (7, 14), (10, 11), (0, 15)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^5), set([(8, 14), (12, 3), (11, 11), (0, 15)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha - x^9 + x^4 + x^2 + 1), set([(13, 2), (11, 10), (8, 13), (0, 15)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^7), set([(10, 14), (12, 3), (0, 15), (11, 13)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 + x^10 + 2*x^9 + x^8 - x^5 - x^4 - x^3 - 2*x^2 - x - 1), set([(8, 8), (12, 3), (0, 15), (5, 11)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 - x^6 + x^5 + x + 1), set([(10, 5), (4, 12), (0, 15), (7, 9)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 0), (9, 11), (11, 9), (0, 15)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha + 3*x^8 + x^7 - x^4 - 3*x^3 - x^2 - 3), set([(6, 12), (11, 4), (8, 10), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - 1), set([(15, 0), (10, 13), (13, 10), (0, 15)]))
('Cluster size', 4, (x^13 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(12, 13), (13, 12), (15, 0), (0, 15)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - 2*x^9 + 2*x^5 + 2*x^4 + 3*x^3 + 3*x^2 + 3*x + 1), set([(5, 14), (9, 10), (10, 5), (0, 15)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 - x^3 + x^2 + 2*x), set([(6, 12), (8, 7), (5, 13), (0, 15)]))
('Cluster size', 4, (x^10 - x^8 - x^4 - 1, alpha - x^9 + x^7 + x^3), set([(10, 13), (14, 1), (12, 11), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha + x^13 + 2*x^12 + 2*x^11 + x^10 + x^9 - x^6 - x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x), set([(4, 12), (12, 3), (0, 15), (9, 7)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^7 - x^6 - x), set([(5, 14), (11, 4), (10, 9), (0, 15)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^9 - x^8 - x^6 + 2*x^4 + x^3 + 2*x^2 + 3*x), set([(8, 7), (3, 14), (0, 15), (7, 10)]))
('Cluster size', 4, (x^13 + x^12 - x^2 - x - 1, alpha - x^12 - x^11 + x + 1), set([(14, 1), (12, 4), (0, 15), (3, 13)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 - 1), set([(4, 12), (11, 4), (0, 15), (8, 8)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 8*x^8 + 2*x^7 + 6*x^6 + 3*x^5 - 2*x^4 - 7*x^3 - 11*x^2 - 7*x - 10), set([(6, 10), (2, 14), (7, 8), (0, 15)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^3 - x), set([(7, 9), (11, 4), (0, 15), (5, 11)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha - x^12 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 12), (14, 1), (11, 14), (0, 15)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha - x^7 + x^2), set([(9, 10), (8, 11), (13, 2), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(9, 13), (14, 1), (0, 15), (12, 10)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, 4*alpha + 5*x^17 + x^15 + 4*x^14 + x^13 + x^11 - 4*x^9 - 5*x^7 - 6*x^5 + x^4 - 7*x^3 + 2*x^2 - 4*x + 3), set([(11, 5), (13, 2), (0, 15), (3, 13)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 - x^9 + x^3 + x^2 + x + 1), set([(14, 1), (10, 6), (0, 15), (5, 11)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^5 - x^3 - x), set([(12, 3), (6, 13), (0, 15), (10, 9)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 - x^3 + 3*x^2 + 2*x - 1), set([(6, 9), (4, 14), (0, 15), (5, 13)]))
('Cluster size', 4, (x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (10, 14), (0, 15), (13, 11)]))
('Cluster size', 4, (x^12 - x^3 - 1, alpha - 1), set([(6, 12), (15, 0), (12, 6), (0, 15)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 0), (14, 9), (9, 14), (0, 15)]))
('Cluster size', 4, (x^14 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(14, 10), (10, 14), (15, 0), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 - x^9 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 11), (14, 1), (0, 15), (10, 8)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, alpha + x^11 - x^8 - x^2), set([(13, 2), (4, 12), (10, 6), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 + x^3 - x - 1, alpha - 1), set([(11, 8), (8, 11), (15, 0), (0, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 8), (15, 0), (0, 15), (8, 12)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 8), (15, 0), (8, 10), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (7, 13), (0, 15), (12, 8)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha - x^16 + x^15 + x^11 + x^9 - x^4 - x^3 - x^2 - 2*x - 1), set([(11, 7), (12, 3), (4, 14), (0, 15)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha + x^14 - x^13 + x^12 + x^10 - x^9 - x^7 + x^6 - x^5 - x^4 - 2*x^3 - x - 1), set([(5, 14), (12, 7), (13, 2), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 + x^5 + x^4 - x^2 - x - 1, alpha - 1), set([(4, 13), (13, 4), (15, 0), (0, 15)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - 1), set([(14, 11), (15, 0), (11, 14), (0, 15)]))
('Cluster size', 4, (x^14 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(14, 12), (15, 0), (12, 14), (0, 15)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha - x^17 + x^16 + x^13 + x^9 - x^5 - x^4 - x^3 - x^2 - 1), set([(11, 6), (12, 3), (3, 14), (0, 15)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha + x^9 - x^7 - x^5), set([(10, 11), (8, 13), (12, 3), (0, 15)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha - x^12 + x + 1), set([(13, 4), (14, 1), (3, 14), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^6 - x^5), set([(9, 11), (12, 3), (0, 15), (8, 12)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha + x^16 - x^15 + x^14 + x^13 - x^12 + x^10 - x^9 - x^8 + x^7 - x^6 - 2*x^5 - x^3 - 2*x^2 + x), set([(13, 2), (4, 14), (0, 15), (12, 6)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha - 4*x^9 - x^7 + x^5 + 3*x^3 + 5*x), set([(4, 13), (8, 9), (10, 5), (0, 15)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 2*x^14 + x^13 - x^12 - x^8 + 2*x^7 + 2*x^5 + x^4 + x^3 + x), set([(10, 7), (11, 4), (3, 14), (0, 15)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 + x^3 - 2*x^2), set([(9, 6), (4, 14), (0, 15), (8, 10)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha - x^8 + x^6 - x^4 + x^2 + x), set([(7, 13), (12, 3), (0, 15), (10, 10)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha - x^12 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 14), (14, 1), (13, 8), (0, 15)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^4), set([(8, 14), (11, 4), (10, 12), (0, 15)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 + 2*x^3 + x^2 + 1), set([(7, 11), (9, 6), (5, 13), (0, 15)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + 5*x^8 + 6*x^7 + 5*x^6 - x^4 - 4*x^3 - 6*x^2 - 5*x - 6), set([(6, 10), (4, 12), (9, 6), (0, 15)]))
('Cluster size', 4, (x^13 - x^3 - x^2 - x - 1, alpha - x^12 + x^2 + x + 1), set([(14, 1), (4, 14), (0, 15), (13, 5)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + 2*x^4 - 3*x^3 - x + 1), set([(5, 14), (7, 8), (6, 13), (0, 15)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha - x^8 - x^5 + x^4 + x), set([(7, 11), (13, 2), (9, 9), (0, 15)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha + x^6 - x^5 - x^4 + x^2 - x + 1), set([(11, 4), (8, 13), (9, 12), (0, 15)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^4), set([(12, 8), (13, 2), (0, 15), (6, 14)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^5 - x^2 - x), set([(5, 12), (12, 3), (9, 8), (0, 15)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^3 - x^2 - x), set([(9, 6), (7, 14), (8, 13), (0, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^6 + 2*x^5 - x^4 - x^3 + x^2), set([(10, 5), (4, 14), (0, 15), (9, 9)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha + x^14 - x^13 + x^12 - x^6 - x^5 - x^4 - x^2 - 1), set([(10, 8), (11, 4), (4, 14), (0, 15)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - x), set([(7, 14), (12, 3), (11, 10), (0, 15)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^7 - x^3), set([(9, 7), (13, 2), (0, 15), (5, 11)]))
('Cluster size', 4, (x^11 - x^8 - x^4 - 1, alpha - 1), set([(15, 0), (11, 12), (12, 11), (0, 15)]))
('Cluster size', 4, (x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(12, 5), (5, 12), (15, 0), (0, 15)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 36*x^4 + 10*x^3 - 7*x^2 - 31*x - 50), set([(5, 10), (2, 14), (4, 12), (0, 15)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - x^6 + 1), set([(6, 12), (12, 3), (9, 9), (0, 15)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(15, 0), (7, 14), (14, 7), (0, 15)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 - x^3 - 2*x^2 + 2), set([(6, 9), (4, 12), (0, 15), (3, 13)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha - 3*x^10 - 2*x^9 + x^7 + 2*x^5 + 2*x^4 + 3*x^3 + x^2 + 3*x + 2), set([(9, 10), (11, 4), (6, 13), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 + x^2 + x + 1), set([(14, 1), (4, 12), (0, 15), (11, 5)]))
('Cluster size', 4, (x^10 - x^4 - 1, alpha - x^9 + x^3), set([(8, 11), (14, 1), (10, 9), (0, 15)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^9 - x^8 - x^7 + x^5 + x^4 + x^3 + x), set([(10, 5), (5, 12), (7, 10), (0, 15)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - x^7 + x^6 + x^5 - x^4 + x^3 - x^2 + 1), set([(10, 5), (7, 14), (9, 12), (0, 15)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha + x^7 - x^3 - x^2), set([(6, 11), (11, 4), (7, 10), (0, 15)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 3*x^10 + x^9 - 3*x^6 - 3*x^5 - 5*x^4 - 4*x^3 - 4*x^2 - 5*x - 1), set([(10, 5), (9, 11), (0, 15), (6, 14)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^6 - x^4 + 2*x^3 + x - 1), set([(6, 11), (5, 12), (9, 6), (0, 15)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^7 - x^6 - x^5), set([(11, 4), (10, 13), (9, 14), (0, 15)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^9 + x^8 + x^6 + x^4 + x^2 + 1), set([(12, 13), (13, 2), (11, 14), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x - 1), set([(10, 5), (6, 10), (0, 15), (5, 11)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha + x^12 + x^10 - x^8 - x^5 - x^3 - x^2 + x - 1), set([(6, 12), (13, 2), (0, 15), (10, 8)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha - x^9 + x^2 + 1), set([(11, 8), (13, 2), (6, 13), (0, 15)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^6 - x^4), set([(6, 10), (13, 2), (0, 15), (8, 8)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^6), set([(8, 14), (13, 2), (0, 15), (12, 10)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (10, 12), (0, 15), (11, 11)]))
('Cluster size', 4, (x^9 - x^6 - 1, alpha - 1), set([(15, 0), (12, 9), (9, 12), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha + x^8 - x^6 + x^5 - x^3 - x), set([(10, 5), (8, 8), (0, 15), (3, 13)]))
('Cluster size', 4, (x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 10), (14, 1), (9, 14), (0, 15)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 + x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2), set([(5, 14), (11, 8), (12, 3), (0, 15)]))
('Cluster size', 4, (x^13 - x^4 - x^2 - 1, alpha - 1), set([(13, 6), (15, 0), (6, 13), (0, 15)]))
('Cluster size', 4, (x^14 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(14, 6), (15, 0), (0, 15), (6, 14)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha - x^6 + x^3), set([(10, 10), (13, 2), (0, 15), (8, 12)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^3 - x - 1), set([(7, 12), (9, 6), (6, 13), (0, 15)]))
('Cluster size', 4, (x^13 - x - 1, alpha - x^12 + 1), set([(14, 1), (2, 14), (0, 15), (13, 3)]))
('Cluster size', 4, (x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 0), (5, 13), (0, 15), (13, 5)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - x^3), set([(8, 14), (10, 5), (0, 15), (9, 13)]))
('Cluster size', 4, (x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha - x^10 + x^8 - x^7 + x^5 - x^4 + x^2), set([(14, 1), (5, 13), (0, 15), (12, 6)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(9, 7), (15, 0), (0, 15), (7, 9)]))
('Cluster size', 4, (x^12 - x^2 - 1, alpha - x^11 + x), set([(4, 13), (12, 5), (14, 1), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(6, 11), (15, 0), (11, 6), (0, 15)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^9 - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(7, 12), (13, 2), (10, 9), (0, 15)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha - x^7 + x^6 + x^2), set([(13, 2), (9, 14), (12, 11), (0, 15)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha + x^13 + x^9 - x^7 - x^5 - x^3 - x), set([(4, 13), (10, 7), (12, 3), (0, 15)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^6 + x^5 - x^4 + 2*x^3 - x^2 + x), set([(5, 14), (8, 11), (9, 6), (0, 15)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(14, 3), (15, 0), (3, 14), (0, 15)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^8 + x^4 + x), set([(13, 2), (10, 11), (9, 12), (0, 15)]))
('Cluster size', 4, (x^12 - x - 1, alpha + 2*x^20 + x^19 + 2*x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^10 - 2*x^9 - 3*x^8 - 3*x^7 - 3*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(2, 14), (13, 2), (0, 15), (12, 4)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (8, 8), (0, 15), (7, 9)]))
('Cluster size', 4, (x^13 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^3 + x^2 + x + 1), set([(5, 14), (13, 6), (14, 1), (0, 15)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 3*x^2 + x + 4), set([(3, 16), (5, 17), (8, 19), (0, 15)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^7 - x^4 - x), set([(8, 9), (5, 12), (11, 4), (0, 15)]))
('Cluster size', 4, (x^11 - x^9 - x^6 - x^3 - 1, alpha - x^10 + x^8 + x^5 + x^2), set([(14, 1), (12, 12), (0, 15), (11, 13)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha + 3*x^13 + x^12 + 2*x^10 + x^9 + x^8 - x^7 - 3*x^6 - 3*x^5 - 5*x^4 - 3*x^3 - 3*x^2 - 4*x - 1), set([(10, 5), (9, 8), (3, 14), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^4 - x^3), set([(6, 10), (12, 3), (0, 15), (7, 9)]))
('Cluster size', 4, (x^10 - x - 1, alpha + 2*x^16 + 2*x^14 + x^13 + 2*x^12 + x^11 + x^10 + x^9 - x^8 - x^7 - 3*x^6 - 2*x^5 - 3*x^4 - 3*x^3 - 3*x^2 - 2*x - 2), set([(11, 4), (2, 14), (10, 6), (0, 15)]))
('Cluster size', 4, (x^9 - x^5 - 1, alpha - x^8 + x^4), set([(14, 1), (9, 11), (0, 15), (10, 10)]))
('Cluster size', 4, (x^11 + x^8 - x^6 - x^3 - 1, alpha - x^10 - x^7 + x^5 + x^2), set([(14, 1), (8, 10), (0, 15), (9, 9)]))
('Cluster size', 4, (x^11 + x^10 - x^8 + x^6 - x^4 - x - 1, alpha - x^12 - x^11 - x^10 + x^3 + x^2 + x + 1), set([(5, 12), (14, 1), (11, 6), (0, 15)]))
('Cluster size', 4, (x^5 - x - 1, alpha + 5*x^6 + x^5 + 3*x^4 - 2*x^3 - 4*x^2 - 6*x - 5), set([(6, 9), (2, 14), (0, 15), (5, 11)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + 2*x^9 - 2*x^8 + 2*x^7 - x^6 + x^5 - 2*x^4 + x^3 - 3*x^2 - 1), set([(8, 9), (9, 6), (3, 14), (0, 15)]))
('Cluster size', 4, (x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (12, 14), (0, 15), (13, 13)]))
('Cluster size', 4, (x^14 + x^13 - x^2 - x - 1, alpha - 1), set([(13, 3), (15, 0), (0, 15), (3, 13)]))
('Cluster size', 4, (x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(9, 13), (15, 0), (0, 15), (13, 9)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, 3*alpha + x^15 - 3*x^14 - 2*x^13 - 3*x^12 - 2*x^11 - 3*x^9 - x^7 + 3*x^6 + x^5 + 6*x^4 + 3*x^3 + 7*x^2 + 3*x + 5), set([(11, 7), (13, 2), (5, 13), (0, 15)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^9 - x^7), set([(9, 13), (13, 2), (11, 11), (0, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^3 - x^2 - x - 1, alpha - 1), set([(4, 12), (15, 0), (0, 15), (12, 4)]))
('Cluster size', 4, (x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(13, 14), (15, 0), (14, 13), (0, 15)]))
('Cluster size', 4, (x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(8, 14), (14, 1), (0, 15), (13, 9)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 - x^2 - 1), set([(8, 12), (9, 6), (0, 15), (6, 14)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - x^2 + x), set([(10, 10), (11, 4), (0, 15), (6, 14)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha - x^3 + 1), set([(7, 12), (8, 11), (11, 4), (0, 15)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^9 - x^7 - x^5 + x^4 + x^2 + 1), set([(8, 9), (13, 2), (7, 10), (0, 15)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 + x^5 - x^3 - 2*x^2), set([(4, 12), (8, 7), (0, 15), (5, 11)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^8 + x^7 - x^5 - x^2 - 2*x), set([(4, 13), (9, 6), (7, 10), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^2 - x - 1, alpha - 1), set([(10, 7), (15, 0), (7, 10), (0, 15)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 + 2*x^8 - x^7 + 2*x^6 - 2*x^4 - x^3 - 2*x^2 - 4*x - 1), set([(7, 9), (9, 6), (0, 15), (3, 13)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha - 8*x^13 - 6*x^12 - 2*x^11 - 6*x^10 - 5*x^9 - 3*x^8 + 3*x^7 + 5*x^5 + 6*x^4 + 10*x^3 + 4*x^2 + 9*x + 5), set([(9, 7), (11, 4), (0, 15), (3, 13)]))
('Cluster size', 4, (x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 11), (15, 0), (0, 15), (11, 13)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 4*x^2 + 3*x + 3), set([(2, 14), (4, 11), (0, 15), (3, 13)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^9 + x^6 + x^4 + x^2 + 1), set([(13, 2), (10, 13), (11, 12), (0, 15)]))
('Cluster size', 4, (x^12 + x^10 - x^4 - x^2 - 1, alpha - x^11 - x^9 + x^3 + x), set([(6, 11), (10, 7), (14, 1), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 0), (8, 13), (13, 8), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^5 - x^4), set([(7, 11), (12, 3), (8, 10), (0, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 5), (15, 0), (0, 15), (5, 11)]))
('Cluster size', 4, (x^9 - x^7 + x^5 - x^4 - x^3 + x^2 - 1, alpha - x^10 + x^5 + x^2), set([(11, 10), (14, 1), (9, 12), (0, 15)]))
('Cluster size', 4, (x^8 - x^7 - 1, alpha - 1), set([(8, 14), (15, 0), (14, 8), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^3 - x^2), set([(10, 5), (7, 13), (0, 15), (8, 12)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - 1), set([(7, 12), (12, 7), (15, 0), (0, 15)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 4*x^8 - 11*x^7 - 9*x^6 - 2*x^5 + x^4 + 4*x^3 + 10*x^2 + 14*x + 9), set([(6, 10), (8, 7), (0, 15), (3, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + x^6 - x^5 - x^4 - 2*x^3 - x^2 - 2), set([(5, 14), (7, 12), (8, 7), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 - x^9 - x^8 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (6, 10), (0, 15), (9, 7)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^6), set([(11, 12), (9, 14), (12, 3), (0, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^7 - x^5 - x^4 - x - 1, alpha - x^12 - x^11 - x^10 - x^9 - x^8 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(9, 8), (14, 1), (7, 10), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 1), (11, 9), (0, 15), (8, 12)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^3), set([(11, 9), (12, 3), (0, 15), (6, 14)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^7 - x^6), set([(9, 13), (12, 3), (10, 12), (0, 15)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha + x^10 - x^9 + x^8 - x^7 - x^5 + x^4 - x^3 - x), set([(13, 2), (7, 14), (12, 9), (0, 15)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(9, 10), (15, 0), (10, 9), (0, 15)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - x^10 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 12), (11, 8), (14, 1), (0, 15)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha - x^8 + x^7 + x^4 + x), set([(12, 12), (10, 14), (13, 2), (0, 15)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha - x^9 - x^7 + x^2 + 1), set([(6, 11), (9, 8), (13, 2), (0, 15)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - 1), set([(7, 11), (8, 7), (4, 14), (0, 15)]))
('Cluster size', 4, (x^9 - x - 1, alpha - x^8 + x^7 - x^6 + x^5 - x^4 + 1), set([(10, 5), (2, 14), (0, 15), (9, 7)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha + x^15 + 2*x^14 + x^13 + x^12 + 2*x^11 + x^10 + x^9 - x^7 - x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(10, 6), (12, 3), (0, 15), (3, 13)]))
('Cluster size', 4, (x^8 - x^6 - 1, alpha - x^7 + x^5), set([(12, 9), (14, 1), (8, 13), (0, 15)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 7*x^4 - 5*x^3 - 3*x^2 + x - 8), set([(6, 12), (7, 8), (4, 14), (0, 15)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha + x^5 - x^3 - x), set([(10, 5), (8, 11), (6, 13), (0, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 10), (15, 0), (10, 12), (0, 15)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha + x^9 + 3*x^8 + x^7 - 2*x^6 + x^5 - x^4 - 3*x^3 - 3*x - 3), set([(11, 4), (5, 13), (0, 15), (9, 9)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^6 - x^4), set([(7, 12), (9, 10), (12, 3), (0, 15)]))
('Cluster size', 4, (x^14 - x^3 - x^2 - x - 1, alpha - 1), set([(14, 4), (15, 0), (4, 14), (0, 15)]))
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^18 - x^17 + 2*x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 2*x^9 + x^8 - 2*x^7 - 2*x^5 - x^3 + x^2 - x + 1), set([(12, 5), (13, 2), (3, 14), (0, 15)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(8, 9), (9, 8), (15, 0), (0, 15)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + 2*x^5 + 2*x^4 - x^3 - 2*x - 3), set([(5, 11), (7, 8), (0, 15), (3, 13)]))
('Cluster size', 4, (x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 7), (7, 13), (15, 0), (0, 15)]))
('Cluster size', 4, (x^8 - x - 1, alpha + x^9 + x^7 - x^6 + x^5 - x^4 + x^3 - 2*x^2 - x - 1), set([(2, 14), (9, 6), (0, 15), (8, 8)]))
('Cluster size', 4, (x^14 - x - 1, alpha - 1), set([(14, 2), (2, 14), (15, 0), (0, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 0), (6, 10), (10, 6), (0, 15)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^9 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 + 1), set([(10, 7), (5, 12), (13, 2), (0, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^10 + 2*x^9 - x^5 - 2*x^4 - 3*x^3 - 2*x^2 - 2*x - 1), set([(10, 5), (5, 13), (0, 15), (8, 10)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + x^4 + x^3 + x^2 + 2*x), set([(7, 13), (8, 7), (0, 15), (6, 14)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 5*x^6 - 7*x^5 + 8*x^4 - 10*x^3 + 6*x^2 - 9*x + 4), set([(6, 11), (7, 8), (3, 14), (0, 15)]))
('Cluster size', 4, (x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(15, 0), (11, 10), (10, 11), (0, 15)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^3), set([(9, 11), (7, 13), (11, 4), (0, 15)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^3 + x), set([(4, 13), (6, 11), (8, 7), (0, 15)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + 2*x^4 + x^3 - x^2 - 3*x - 1), set([(4, 13), (5, 12), (7, 8), (0, 15)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha + x^9 - x^5 - x^3), set([(6, 11), (8, 9), (12, 3), (0, 15)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^9 - x^5), set([(13, 2), (7, 13), (11, 9), (0, 15)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha + x^5 - x^2 - x), set([(6, 12), (10, 5), (0, 15), (7, 11)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 11), (15, 0), (0, 15), (11, 7)]))

n = 16
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^6 - x^3 - 1), set([(11, 5), (0, 16), (5, 13), (8, 10)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^9 + x^8 - x^6 + 2*x^4 - x^3 + x), set([(9, 10), (4, 15), (0, 16), (10, 6)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^3), set([(12, 9), (0, 16), (6, 15), (13, 3)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - x^4 - x^3 + 4*x + 3), set([(5, 14), (6, 10), (4, 15), (0, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(9, 8), (0, 16), (7, 10), (15, 1)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^3 - x^2), set([(6, 11), (0, 16), (7, 10), (12, 4)]))
('Cluster size', 4, (x^10 - x^8 + x^6 - x^4 - 1, alpha - x^8 + x^6 - x^4 + x^2), set([(14, 2), (12, 8), (0, 16), (6, 14)]))
('Cluster size', 4, (x^13 + x^12 - x^2 - x - 1, alpha + x^20 + 2*x^19 + x^18 + x^17 + 2*x^16 + x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - 2*x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - x^2 - 2*x), set([(12, 5), (14, 2), (0, 16), (3, 14)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, 3*alpha + 5*x^15 + 6*x^14 + 2*x^13 + 3*x^12 + 2*x^11 + 3*x^10 - 3*x^8 - 5*x^7 - 6*x^6 - 7*x^5 - 9*x^4 - 9*x^3 - 7*x^2 - 3*x - 2), set([(5, 14), (11, 8), (0, 16), (13, 3)]))
('Cluster size', 4, (x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 12), (0, 16), (11, 14), (15, 1)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 + x^5 + x^3 + x), set([(15, 1), (14, 10), (0, 16), (9, 15)]))
('Cluster size', 4, (x^10 - x^8 - x^4 - 1, alpha - x^8 + x^6 + x^2), set([(12, 12), (14, 2), (0, 16), (10, 14)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^3 + x^2 - 1), set([(5, 14), (7, 12), (0, 16), (9, 7)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^6 - x^2), set([(5, 12), (0, 16), (9, 8), (13, 3)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha + x^12 + x^8 - x^6 - x^4 - x^2 - 1), set([(10, 8), (0, 16), (4, 14), (12, 4)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha + x^6 - x^4 - x^3), set([(8, 14), (0, 16), (11, 5), (9, 13)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha + 5*x^13 - 3*x^12 - x^11 + 3*x^10 - x^9 - 3*x^7 + 3*x^6 - 5*x^5 - 4*x^3 + 5*x^2 - 6*x + 4), set([(9, 8), (0, 16), (3, 14), (11, 5)]))
('Cluster size', 4, (x^12 - x - 1, alpha - 2*x^15 - x^13 - x^11 + x^10 - x^9 + 2*x^4 + 2*x^3 + x^2 + x + 1), set([(2, 15), (12, 5), (0, 16), (13, 3)]))
('Cluster size', 4, (x^13 - x^12 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(16, 0), (13, 15), (0, 16), (15, 13)]))
('Cluster size', 4, (x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha - x^14 + x^12 - x^11 - x^8 + x^7 + x^4 + x), set([(5, 14), (12, 7), (0, 16), (14, 2)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha - x^6 + x^4 - x^2 + 1), set([(0, 16), (10, 6), (4, 14), (8, 10)]))
('Cluster size', 4, (x^10 - x^6 - 1, alpha - 1), set([(12, 10), (16, 0), (0, 16), (10, 12)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha - x^9 + x^6 - x^5 + x^2 + x + 1), set([(4, 15), (0, 16), (10, 9), (11, 5)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha + x^8 - x^6 - x^4), set([(8, 14), (0, 16), (10, 12), (12, 4)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + 2*x^5 + x^3 - x^2 + x), set([(0, 16), (13, 3), (5, 15), (12, 8)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha + x^10 - x^9 - x^8 + x^7 + x^6 - x^5 - x^4 + x^2 - 1), set([(13, 9), (14, 2), (0, 16), (7, 15)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - 2*x^10 + 3*x^9 + x^6 + x^5 - x^4 - x^3 - 5*x), set([(4, 15), (0, 16), (8, 11), (9, 7)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^6 - x^5 - x^2), set([(11, 5), (0, 16), (7, 15), (10, 12)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha - x^6 - x^5 - x^4 + 2*x^2 + x + 1), set([(6, 12), (0, 16), (5, 13), (9, 7)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - 3*x^5 - x^4 + 2*x^3 - x^2 + 3*x + 1), set([(5, 12), (0, 16), (3, 14), (7, 9)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - x^12 + x^7 + x^5 + x^3 + x), set([(15, 1), (0, 16), (10, 14), (13, 11)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha + x^4 + x^3 - 3*x^2 - x - 1), set([(7, 9), (0, 16), (5, 15), (6, 14)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 2*alpha + 3*x^13 + 4*x^12 + x^11 + 2*x^10 - 2*x^8 - 3*x^7 - 4*x^6 - 4*x^5 - 6*x^4 - 4*x^3 - 4*x^2 - 4*x - 1), set([(7, 14), (0, 16), (11, 10), (13, 3)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x^2 - 4*x), set([(2, 15), (0, 16), (4, 12), (3, 14)]))
('Cluster size', 4, (x^9 - x - 1, alpha + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 - 1), set([(2, 15), (9, 8), (0, 16), (10, 6)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha - x^7 - x^4 + x^3 + 1), set([(7, 12), (9, 10), (0, 16), (13, 3)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^8 - x^5), set([(7, 12), (14, 2), (0, 16), (10, 9)]))
('Cluster size', 4, (x^14 - x^3 - x^2 - x - 1, alpha - x^13 + x^2 + x + 1), set([(4, 15), (0, 16), (14, 5), (15, 1)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha + 2*x^10 - x^9 + x^6 - 2*x^5 - 2*x^3 + x^2 - 3*x + 1), set([(9, 11), (0, 16), (11, 5), (6, 14)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 50*x^4 - 14*x^3 + 10*x^2 + 43*x + 69), set([(2, 15), (4, 13), (0, 16), (5, 11)]))
('Cluster size', 4, (x^9 - x^5 - 1, alpha - x^7 + x^3), set([(14, 2), (0, 16), (10, 11), (9, 12)]))
('Cluster size', 4, (x^11 - x^8 - x^4 - 1, alpha - x^10 + x^7 + x^3), set([(12, 12), (0, 16), (15, 1), (11, 13)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (10, 13), (0, 16), (13, 10)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - x^5), set([(10, 13), (0, 16), (9, 14), (12, 4)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^3 - x^2 + x + 2), set([(5, 14), (0, 16), (6, 13), (8, 8)]))
('Cluster size', 4, (x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^12 - x^10 + x^7 + x^5 + x^3 + x), set([(15, 1), (0, 16), (10, 12), (11, 11)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^7 - x^6 + x^5 + x^4 + 3*x^3 + 2*x^2 + 3*x + 4), set([(0, 16), (7, 13), (5, 15), (8, 8)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha + x^8 - x^5 - x^2), set([(9, 10), (0, 16), (6, 13), (12, 4)]))
('Cluster size', 4, (x^9 - x^7 + x^5 - x^4 - x^3 + x^2 - 1, alpha - x^9 + x^4 + x), set([(9, 13), (14, 2), (0, 16), (11, 11)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 + x^3 - x - 1, alpha - x^10 + x^3), set([(15, 1), (0, 16), (11, 9), (8, 12)]))
('Cluster size', 4, (x^13 - x^4 - x^2 - 1, alpha - x^12 + x^3 + x), set([(15, 1), (13, 7), (0, 16), (6, 14)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^6 - x^5), set([(8, 9), (14, 2), (0, 16), (7, 10)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - 1), set([(16, 0), (0, 16), (7, 15), (15, 7)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x^2), set([(7, 14), (0, 16), (9, 12), (11, 5)]))
('Cluster size', 4, (x^13 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^3), set([(13, 7), (14, 2), (0, 16), (5, 15)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^8 - x^6), set([(11, 12), (0, 16), (9, 14), (13, 3)]))
('Cluster size', 4, (x^15 + x^14 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(5, 14), (16, 0), (0, 16), (14, 5)]))
('Cluster size', 4, (x^15 + x^14 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (7, 14), (0, 16), (14, 7)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^10 - x^9 - x^8), set([(11, 15), (0, 16), (12, 14), (13, 3)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 3*x^12 - 3*x^11 - 2*x^10 - 3*x^9 - 3*x^8 + 2*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + 3*x + 3), set([(6, 11), (8, 9), (0, 16), (13, 3)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha - 2*x^16 - 4*x^15 - 3*x^14 - 2*x^13 - 3*x^12 - 3*x^11 - 2*x^10 - x^9 + x^8 + 2*x^7 + 3*x^6 + 5*x^5 + 4*x^4 + 4*x^3 + 4*x^2 + 4*x + 2), set([(10, 7), (0, 16), (3, 14), (12, 4)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 + x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x), set([(0, 16), (11, 9), (5, 15), (12, 4)]))
('Cluster size', 4, (x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^12 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 + x), set([(15, 1), (0, 16), (5, 13), (12, 6)]))
('Cluster size', 4, (x^14 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 15), (0, 16), (14, 13), (15, 1)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^10 - x^7 - x^2), set([(10, 8), (0, 16), (5, 13), (13, 3)]))
('Cluster size', 4, (x^14 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(14, 12), (16, 0), (0, 16), (12, 14)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 + x^3 + x^2 + x + 1), set([(5, 12), (0, 16), (11, 6), (15, 1)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^2), set([(11, 10), (0, 16), (6, 15), (12, 4)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 12), (11, 8), (0, 16), (15, 1)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - 5*x^2 + 8*x - 1), set([(3, 15), (0, 16), (4, 14), (5, 11)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, 4*alpha + 3*x^17 + 8*x^16 + 3*x^15 + 4*x^14 + 7*x^13 + 4*x^12 + 3*x^11 + 4*x^10 - 4*x^8 - 3*x^7 - 8*x^6 - 6*x^5 - 9*x^4 - 5*x^3 - 10*x^2 - 4*x - 7), set([(0, 16), (11, 6), (3, 14), (13, 3)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 8*x^4 + 7*x^3 + 3*x^2 - 3*x + 9), set([(4, 15), (0, 16), (6, 13), (7, 9)]))
('Cluster size', 4, (x^15 + x^14 - x^2 - x - 1, alpha - 1), set([(14, 3), (16, 0), (0, 16), (3, 14)]))
('Cluster size', 4, (x^13 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^12 + x^9 + x^7 + x^5 + x^3 + x), set([(15, 1), (0, 16), (12, 14), (13, 13)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^10 + x^7 - x^6 + x^3), set([(15, 1), (0, 16), (7, 13), (12, 8)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + 9*x^8 + 14*x^7 + 7*x^6 - 2*x^4 - 8*x^3 - 14*x^2 - 17*x - 4), set([(6, 11), (0, 16), (3, 14), (8, 8)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^6 - x^4 - x^2 - 1, alpha - x^12 - x^10 - x^8 + x^5 + x^3 + x), set([(15, 1), (0, 16), (8, 10), (9, 9)]))
('Cluster size', 4, (x^14 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(8, 14), (16, 0), (0, 16), (14, 8)]))
('Cluster size', 4, (x^12 - x^3 - 1, alpha - x^11 + x^2), set([(12, 7), (0, 16), (6, 13), (15, 1)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^10 - x^5 - x^4), set([(7, 11), (0, 16), (8, 10), (13, 3)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + x^2 - x - 1), set([(8, 14), (0, 16), (7, 15), (9, 7)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^2 - x - 1, alpha - x^12 - x^10 - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(15, 1), (7, 11), (0, 16), (10, 8)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha - x^7 + x^6 + x^3 + 1), set([(10, 15), (12, 13), (0, 16), (13, 3)]))
('Cluster size', 4, (x^10 - x^4 - 1, alpha - x^8 + x^2), set([(14, 2), (0, 16), (10, 10), (8, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - x), set([(8, 9), (5, 12), (0, 16), (12, 4)]))
('Cluster size', 4, (x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (15, 9), (0, 16), (9, 15)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha - 2*x^8 + x^5 + x^2 + 2), set([(10, 11), (0, 16), (8, 13), (13, 3)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^9 - x^5), set([(14, 2), (0, 16), (7, 13), (11, 9)]))
('Cluster size', 4, (x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^10 - x^5), set([(7, 14), (0, 16), (12, 9), (14, 2)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 9), (0, 16), (8, 13), (15, 1)]))
('Cluster size', 4, (x^15 + x^14 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 14), (16, 0), (0, 16), (14, 13)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^7 + x^6 - x^4 - x - 2), set([(7, 11), (0, 16), (4, 14), (9, 7)]))
('Cluster size', 4, (x^13 - x^6 - x^3 - 1, alpha - 1), set([(9, 13), (16, 0), (0, 16), (13, 9)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^4 - x^2 - 1), set([(12, 4), (0, 16), (10, 10), (6, 14)]))
('Cluster size', 4, (x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 + x^3 + x^2 + x + 1), set([(5, 14), (13, 6), (0, 16), (15, 1)]))
('Cluster size', 4, (x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^10), set([(13, 14), (12, 15), (0, 16), (14, 2)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha - x^6 + x), set([(9, 11), (0, 16), (13, 3), (8, 12)]))
('Cluster size', 4, (x^9 - x^6 - 1, alpha - x^8 + x^5), set([(15, 1), (9, 13), (0, 16), (12, 10)]))
('Cluster size', 4, (x^12 + x^10 - x^4 - x^2 - 1, alpha - x^10 - x^8 + x^2 + 1), set([(6, 12), (14, 2), (0, 16), (10, 8)]))
('Cluster size', 4, (x^11 - x^9 - x^6 - x^3 - 1, alpha - x^9 + x^7 + x^4 + x), set([(12, 13), (14, 2), (0, 16), (11, 14)]))
('Cluster size', 4, (x^13 - x^3 - x^2 - x - 1, alpha + 2*x^20 + x^19 + x^18 + x^17 + 2*x^16 + x^15 + x^14 + x^13 + x^12 - x^11 - 2*x^10 - 3*x^9 - 4*x^8 - 5*x^7 - 5*x^6 - 5*x^5 - 5*x^4 - 5*x^3 - 4*x^2 - 2*x - 1), set([(13, 6), (4, 15), (0, 16), (14, 2)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - x^12 + x^11 - x^10 + x^9 + x^7 + x^5 + x^3 + x), set([(15, 1), (11, 15), (0, 16), (14, 12)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - x^9 + 2*x^8 + x^7 - 2*x^6 + 2*x^5 - x^3 - 3), set([(0, 16), (7, 10), (3, 14), (9, 7)]))
('Cluster size', 4, (x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^6), set([(14, 2), (0, 16), (13, 10), (8, 15)]))
('Cluster size', 4, (x^14 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 + x^4 + x^3 + x^2 + x + 1), set([(14, 7), (0, 16), (6, 15), (15, 1)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^3 - x^2), set([(10, 6), (0, 16), (9, 14), (8, 15)]))
('Cluster size', 4, (x^15 - x^2 - x - 1, alpha - 1), set([(3, 15), (16, 0), (0, 16), (15, 3)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(11, 10), (0, 16), (9, 12), (15, 1)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (12, 9), (9, 12)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^2 + 1), set([(6, 12), (0, 16), (4, 14), (8, 8)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha - x^12 - 2*x^11 - x^8 + x^6 + x^5 + x^4 + x^3 + 2*x^2 + x), set([(11, 5), (0, 16), (4, 14), (9, 9)]))
('Cluster size', 4, (x^14 + x^12 - x^4 - x^2 - 1, alpha - 1), set([(6, 12), (16, 0), (0, 16), (12, 6)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 + x^10 + x^9 + x^8 - x^6 - 2*x^5 - x^4 - 2*x^3 - x^2 - x - 1), set([(9, 11), (0, 16), (7, 13), (12, 4)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 4*x^6 + 5*x^5 - 3*x^4 + 4*x^3 - 10*x^2 - 2*x - 13), set([(3, 15), (0, 16), (7, 9), (6, 12)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - x^4 + 2*x^3 + x^2 - 3), set([(0, 16), (4, 14), (7, 9), (5, 13)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha + x^4 - x - 1), set([(7, 12), (0, 16), (10, 6), (6, 13)]))
('Cluster size', 4, (x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^12 + x^11 + x^9 + x^7 + x^5 + x^3 + x), set([(15, 1), (13, 15), (0, 16), (14, 14)]))
('Cluster size', 4, (x^13 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - 1), set([(7, 12), (16, 0), (12, 7), (0, 16)]))
('Cluster size', 4, (x^12 - x^2 - 1, alpha - x^16 - x^12 - x^10 + x^6 + x^4 + x^2 + 2), set([(14, 2), (0, 16), (4, 14), (12, 6)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^3 - 1), set([(10, 6), (0, 16), (6, 15), (9, 12)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + 2*x^4 + 3*x^3 - x^2 - 4*x - 2), set([(4, 13), (6, 10), (0, 16), (3, 14)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 3*x^10 + 3*x^7 + 4*x^6 + 2*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + 3*x + 3), set([(10, 13), (0, 16), (8, 15), (11, 5)]))
('Cluster size', 4, (x^11 + x^8 - x^6 - x^3 - 1, alpha - x^9 - x^6 + x^4 + x), set([(9, 10), (8, 11), (0, 16), (14, 2)]))
('Cluster size', 4, (x^14 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(10, 15), (14, 11), (0, 16), (15, 1)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha + x^10 - x^6 - x^3), set([(6, 12), (0, 16), (9, 9), (13, 3)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha + x^15 - x^14 + x^13 + x^12 - x^11 + x^9 - x^8 - x^7 + x^6 - x^5 - 2*x^4 - x^2 - 2*x + 1), set([(4, 15), (0, 16), (12, 7), (13, 3)]))
('Cluster size', 4, (x^5 - x - 1, alpha - 5*x^6 - 4*x^4 + 3*x^3 + 3*x^2 + 6*x + 4), set([(2, 15), (6, 10), (5, 12), (0, 16)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^6 - x^5 - x^4), set([(11, 5), (0, 16), (10, 14), (9, 15)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^4 - x - 1), set([(12, 4), (0, 16), (5, 13), (9, 9)]))
('Cluster size', 4, (x^12 - x^4 - 1, alpha - 1), set([(16, 0), (12, 8), (0, 16), (8, 12)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha - x^16 - 2*x^15 - x^13 - x^12 - x^11 + 2*x^8 + 2*x^7 + 3*x^6 + 4*x^5 + 4*x^4 + 3*x^3 + 3*x^2 + 2*x), set([(11, 8), (4, 15), (0, 16), (12, 4)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha - x^4 + x^3), set([(12, 10), (0, 16), (7, 15), (13, 3)]))
('Cluster size', 4, (x^15 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (15, 8), (8, 15)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha - x^7 + x^5 - x^3 + x + 1), set([(7, 14), (0, 16), (10, 11), (12, 4)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (13, 11), (11, 13)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (8, 13), (13, 8)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^12 - x^10 - x^8 + x^7 + x^5 + x^3 + x), set([(15, 1), (9, 11), (0, 16), (10, 10)]))
('Cluster size', 4, (x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 14), (0, 16), (13, 8), (15, 1)]))
('Cluster size', 4, (x^10 - x - 1, alpha - x^9 + x^8 - x^7 + x^6 - x^5 + 1), set([(2, 15), (10, 7), (0, 16), (11, 5)]))
('Cluster size', 4, (x^14 + x^13 - x^2 - x - 1, alpha - x^13 - x^12 + x + 1), set([(13, 4), (0, 16), (3, 14), (15, 1)]))
('Cluster size', 4, (x^11 - x^10 + x^6 - x^5 - 1, alpha - 1), set([(16, 0), (15, 6), (0, 16), (6, 15)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 + x^10 - x^8 - x^6 - 2*x^5 - x^4 - 2*x^3 - x^2 + 1), set([(9, 11), (0, 16), (10, 6), (5, 15)]))
('Cluster size', 4, (x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^10 - x^7), set([(14, 2), (0, 16), (9, 14), (12, 11)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 9), (16, 0), (9, 8), (0, 16)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - x^5 + x^3 - x^2 + 2), set([(3, 15), (0, 16), (8, 8), (7, 11)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - x^12 - x^11 - x^9 - x^8 + x^7 + 2*x^4 + x^3 + x), set([(8, 9), (0, 16), (10, 6), (3, 14)]))
('Cluster size', 4, (x^15 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 12), (16, 0), (12, 15), (0, 16)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 + x^5 + x^4 - x^2 - x - 1, alpha - x^12 + x), set([(15, 1), (0, 16), (4, 14), (13, 5)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, 2*alpha - x^14 + x^13 - 2*x^12 - x^11 - x^10 - 2*x^7 + x^5 - x^4 + 2*x^3 + 2*x^2 - x + 3), set([(4, 13), (10, 7), (0, 16), (13, 3)]))
('Cluster size', 4, (x^15 - x - 1, alpha - 1), set([(2, 15), (16, 0), (0, 16), (15, 2)]))
('Cluster size', 4, (x^13 - x - 1, alpha + 2*x^22 + x^21 + 2*x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^11 - 2*x^10 - 3*x^9 - 3*x^8 - 3*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(2, 15), (13, 4), (0, 16), (14, 2)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha - x^17 - 2*x^16 - x^14 - x^13 - x^11 - x^10 + 2*x^8 + 2*x^7 + 3*x^6 + 3*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x + 2), set([(3, 15), (12, 4), (0, 16), (11, 7)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - 3*x^8 + x^6 + 2*x^3 - x + 3), set([(8, 11), (0, 16), (6, 13), (11, 5)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha + 2*x^21 + x^20 + x^19 + 2*x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^11 - 2*x^10 - 3*x^9 - 4*x^8 - 4*x^7 - 4*x^6 - 4*x^5 - 3*x^4 - 3*x^3 - 3*x^2 - 3*x - 1), set([(3, 15), (14, 2), (0, 16), (13, 5)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^2 - x), set([(10, 6), (7, 14), (0, 16), (8, 13)]))
('Cluster size', 4, (x^11 + x^10 - x^8 + x^6 - x^4 - x - 1, alpha + x^12 - x^9 - x^3), set([(11, 7), (14, 2), (0, 16), (5, 13)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(9, 11), (16, 0), (0, 16), (11, 9)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x^2 - x - 4), set([(3, 15), (6, 10), (0, 16), (5, 13)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - x^13 + 2*x^12 - x^10 + x^9 + x^7 - x^5 - 2*x^3 - 2), set([(3, 15), (0, 16), (10, 6), (9, 9)]))
('Cluster size', 4, (x^11 - x^5 - 1, alpha - 1), set([(16, 0), (11, 10), (0, 16), (10, 11)]))
('Cluster size', 4, (x^15 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (15, 14), (0, 16), (14, 15)]))
('Cluster size', 4, (x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^7), set([(14, 2), (0, 16), (13, 11), (9, 15)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(15, 1), (0, 16), (7, 15), (14, 8)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha + x^8 - x^4 - x^2), set([(6, 12), (0, 16), (8, 10), (12, 4)]))
('Cluster size', 4, (x^14 - x - 1, alpha - x^13 + 1), set([(2, 15), (14, 3), (0, 16), (15, 1)]))
('Cluster size', 4, (x^13 - x^3 - 1, alpha - 1), set([(13, 6), (16, 0), (0, 16), (6, 13)]))
('Cluster size', 4, (x^11 - x - 1, alpha + 2*x^18 + 2*x^16 + x^15 + 2*x^14 + x^13 + x^12 + x^11 + x^10 - x^9 - x^8 - 3*x^7 - 2*x^6 - 3*x^5 - 3*x^4 - 3*x^3 - 2*x^2 - 2*x - 2), set([(2, 15), (0, 16), (11, 6), (12, 4)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^9 - x^8), set([(10, 13), (0, 16), (11, 12), (14, 2)]))
('Cluster size', 4, (x^11 - x^8 + x^5 - x^2 - x - 1, alpha - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 + x), set([(15, 1), (0, 16), (5, 15), (14, 6)]))
('Cluster size', 4, (x^9 - x^7 - 1, alpha - 1), set([(16, 0), (14, 9), (0, 16), (9, 14)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha + x^4 - x^3 - x), set([(9, 13), (0, 16), (10, 6), (7, 15)]))
('Cluster size', 4, (x^7 - x - 1, alpha - x^5 + x^4 - x^3 + x^2 - x + 1), set([(2, 15), (0, 16), (7, 10), (8, 8)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (11, 12), (12, 11)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - x + 1), set([(10, 11), (0, 16), (6, 15), (11, 5)]))
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^18 + x^17 + 2*x^15 + x^13 + x^11 - 2*x^8 - x^7 - 3*x^6 - 2*x^5 - 3*x^4 - 2*x^3 - 2*x^2 - x - 2), set([(3, 15), (0, 16), (12, 6), (13, 3)]))
('Cluster size', 4, (x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^4), set([(14, 2), (0, 16), (6, 15), (13, 8)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 7), (16, 0), (0, 16), (7, 10)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha - 2*x^12 - 4*x^11 - 8*x^10 - 7*x^9 - 5*x^8 - x^7 + x^6 + 2*x^5 + 4*x^4 + 7*x^3 + 9*x^2 + 7*x + 5), set([(4, 13), (8, 9), (0, 16), (11, 5)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^7 + x^3 + 1), set([(9, 13), (0, 16), (10, 12), (13, 3)]))
('Cluster size', 4, (x^13 + x^10 - x^6 - x^3 - 1, alpha - 1), set([(9, 10), (16, 0), (0, 16), (10, 9)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - x), set([(5, 14), (0, 16), (10, 9), (12, 4)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha + x^14 + 2*x^13 + 2*x^12 + x^11 + x^10 - x^8 - x^7 - 2*x^6 - 3*x^5 - 3*x^4 - 4*x^3 - 3*x^2 - 2*x - 1), set([(0, 16), (13, 3), (11, 9), (6, 14)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^2 - 1), set([(5, 12), (0, 16), (7, 10), (11, 5)]))
('Cluster size', 4, (x^14 - x^2 - 1, alpha - 1), set([(14, 4), (16, 0), (0, 16), (4, 14)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^6), set([(10, 15), (0, 16), (11, 14), (12, 4)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^10 + x^3 + x), set([(15, 1), (6, 12), (0, 16), (11, 7)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(15, 1), (3, 15), (0, 16), (14, 4)]))
('Cluster size', 4, (x^14 + x^12 + x^10 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(10, 8), (16, 0), (0, 16), (8, 10)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 7), (16, 0), (0, 16), (7, 13)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^3 - x^2 - x - 1, alpha - 1), set([(4, 13), (16, 0), (13, 4), (0, 16)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - x^3), set([(7, 12), (8, 11), (0, 16), (12, 4)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^5 + x^4 - x^3 + 2*x^2 - x + 1), set([(0, 16), (9, 7), (5, 15), (8, 12)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(10, 15), (16, 0), (0, 16), (15, 10)]))
('Cluster size', 4, (x^13 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(12, 13), (16, 0), (13, 12), (0, 16)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 + x^4 + 2*x^2 + 2*x + 2), set([(7, 12), (4, 15), (0, 16), (8, 8)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 + 2*x^8 + x^7 + 2*x^6 + 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 2*x + 1), set([(0, 16), (11, 12), (8, 15), (12, 4)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - x^6 + x^3 + x^2 + x - 1), set([(9, 7), (0, 16), (7, 13), (6, 14)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^5 - x^4), set([(0, 16), (8, 13), (9, 12), (12, 4)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^8 - x^7 - x^6 + x^4 + x^3 + x^2 + 1), set([(7, 11), (0, 16), (10, 6), (5, 13)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^4 - x^3 - 1), set([(12, 4), (0, 16), (7, 15), (11, 11)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(6, 11), (16, 0), (0, 16), (11, 6)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^9 - x^6), set([(11, 10), (0, 16), (8, 13), (14, 2)]))
('Cluster size', 4, (x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^8), set([(10, 15), (13, 12), (0, 16), (14, 2)]))
('Cluster size', 4, (x^15 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (15, 5), (5, 15)]))
('Cluster size', 4, (x^15 + x^14 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(14, 11), (16, 0), (0, 16), (11, 14)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 8), (16, 0), (8, 11), (0, 16)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^3 - x^2 - x - 1, alpha + x^12 - x^9 - x^2), set([(4, 13), (14, 2), (0, 16), (11, 6)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 0), (0, 16), (5, 13), (13, 5)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 5), (16, 0), (5, 12), (0, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(10, 13), (0, 16), (12, 11), (15, 1)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha - x^7 + 1), set([(0, 16), (10, 9), (6, 13), (13, 3)]))
('Cluster size', 4, (x^8 - x^7 - 1, alpha - x^7 + x^6), set([(14, 9), (0, 16), (8, 15), (15, 1)]))
('Cluster size', 4, (x^14 - x^4 - x^2 - 1, alpha - 1), set([(16, 0), (0, 16), (14, 6), (6, 14)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 - x^6 - x^5 + x^4 + x^3 + x^2 + x), set([(6, 11), (5, 12), (0, 16), (10, 6)]))
('Cluster size', 4, (x^8 - x - 1, alpha - x^9 - x^7 + x^6 - x^5 + x^4 - x^3 + 2*x^2 + 1), set([(2, 15), (8, 9), (0, 16), (9, 7)]))
('Cluster size', 4, (x^11 + x^10 + x^7 - x^5 - x^4 - x - 1, alpha + x^12 - x^7 - x^5), set([(7, 11), (14, 2), (0, 16), (9, 9)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 + x^5 + x^3 + x), set([(15, 1), (8, 14), (0, 16), (13, 9)]))
('Cluster size', 4, (x^8 - x^6 - 1, alpha - x^6 + x^4), set([(8, 14), (14, 2), (0, 16), (12, 10)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha + x^4 - x^2 - 1), set([(8, 12), (0, 16), (10, 6), (6, 14)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - 1), set([(15, 4), (16, 0), (4, 15), (0, 16)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^6 - x^5 - 1), set([(11, 5), (0, 16), (5, 15), (10, 10)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha - 3*x^9 + x^8 + 3*x^7 - 2*x^6 + x^5 + x^4 - x^3 + 3*x - 3), set([(5, 14), (9, 10), (0, 16), (11, 5)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha + x^6 - x^3 - x^2), set([(11, 5), (0, 16), (7, 13), (8, 12)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 - x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(8, 11), (0, 16), (10, 9), (15, 1)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha + x^16 + 2*x^15 + x^14 + x^13 + x^12 + 2*x^11 + x^10 - x^8 - x^7 - 2*x^6 - 2*x^5 - 3*x^4 - 2*x^3 - 3*x^2 - 2*x - 2), set([(11, 7), (0, 16), (4, 14), (13, 3)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha + x^8 - x^5 + x^4 - x^2 - x), set([(4, 13), (0, 16), (10, 6), (7, 10)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha + x^6 - x^2 - x), set([(6, 12), (0, 16), (11, 5), (7, 11)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^5 + x^4 - x^2 - 2*x), set([(4, 13), (5, 12), (0, 16), (8, 8)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 - x^9 + x^4 + x^3 + x^2 + x + 1), set([(6, 11), (10, 7), (0, 16), (15, 1)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - 6*x^8 - 7*x^7 - 6*x^6 - x^5 + 5*x^3 + 8*x^2 + 6*x + 7), set([(4, 13), (6, 11), (0, 16), (9, 7)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^5 + x^3 + x^2 + x + 2), set([(7, 14), (0, 16), (6, 15), (8, 8)]))
('Cluster size', 4, (x^14 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(16, 0), (14, 10), (0, 16), (10, 14)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 - x^11 + x^2 + x + 1), set([(4, 13), (12, 5), (0, 16), (15, 1)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^5), set([(11, 13), (12, 4), (0, 16), (9, 15)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 + x^4 + x^3 + 2*x^2 + 1), set([(8, 13), (0, 16), (6, 15), (9, 7)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^7 - x^4), set([(6, 11), (9, 8), (0, 16), (14, 2)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^5), set([(0, 16), (12, 11), (8, 15), (13, 3)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 11), (16, 0), (0, 16), (11, 7)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^10 - x^7 - x^4), set([(0, 16), (13, 3), (7, 13), (10, 10)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^8 - x^3), set([(10, 7), (5, 12), (0, 16), (14, 2)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha - x^6 + x^5 + x), set([(12, 12), (0, 16), (13, 3), (9, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^7 + x^5 + x^4 + x^3 + x), set([(5, 14), (8, 11), (0, 16), (10, 6)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha + x^12 - x^11 - x^9), set([(11, 15), (14, 2), (0, 16), (13, 13)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha + x^8 - x^5 - 1), set([(4, 13), (9, 8), (0, 16), (12, 4)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^10 - x^8 - x^7), set([(0, 16), (13, 3), (10, 14), (11, 13)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 2*x^13 + x^12 - x^11 - x^7 + 2*x^6 + 2*x^4 + x^3 + x^2 + 1), set([(3, 15), (0, 16), (11, 5), (10, 8)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 10*x^8 - 2*x^7 - 8*x^6 - 4*x^5 + 3*x^4 + 8*x^3 + 13*x^2 + 9*x + 13), set([(2, 15), (6, 11), (0, 16), (7, 9)]))
('Cluster size', 4, (x^11 - x^3 - 1, alpha - x^9 + x), set([(11, 8), (14, 2), (0, 16), (6, 13)]))
('Cluster size', 4, (x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^13 - x^12 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 10), (0, 16), (9, 14), (15, 1)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha + 2*x^12 + 2*x^11 + x^10 - x^8 - 2*x^7 - 2*x^6 - 3*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(8, 14), (0, 16), (11, 11), (13, 3)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^10 + x^8 - 2*x^7 + x^6 + x^4 + 2*x^2 - x + 1), set([(3, 15), (0, 16), (8, 10), (9, 7)]))
('Cluster size', 4, (x^11 - x^10 - x^5 - 1, alpha - 1), set([(11, 15), (16, 0), (0, 16), (15, 11)]))

n = 17
('Cluster size', 4, (x^14 - x^2 - 1, alpha - x^13 + x), set([(0, 17), (16, 1), (4, 15), (14, 5)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 - x^10 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (11, 9), (8, 12)]))
('Cluster size', 4, (x^9 - x - 1, alpha - x^14 - 2*x^12 - 2*x^10 - x^8 + x^7 + 2*x^5 + x^4 + 3*x^3 + x^2 + 2*x + 1), set([(0, 17), (2, 16), (9, 9), (10, 7)]))
('Cluster size', 4, (x^14 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^9 + x^7 + x^5 + x^3 + x), set([(0, 17), (16, 1), (12, 15), (14, 13)]))
('Cluster size', 4, (x^10 - x^8 + x^6 - x^4 - 1, alpha - x^7 + x^5 - x^3 + x), set([(0, 17), (12, 9), (6, 15), (14, 3)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha + x^5 - x - 1), set([(0, 17), (7, 12), (11, 6), (6, 13)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 4*x^5 - 2*x^4 + 3*x^3 + 2*x^2 + 6*x + 4), set([(0, 17), (3, 16), (6, 11), (5, 14)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^10 - x^6), set([(0, 17), (8, 14), (15, 2), (12, 10)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^9 - x^3), set([(0, 17), (11, 7), (5, 13), (15, 2)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha + 3*x^10 - 2*x^9 - x^8 - 4*x^6 - 3*x^3 - 3), set([(0, 17), (10, 16), (13, 4), (12, 14)]))
('Cluster size', 4, (x^15 + x^14 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (11, 15), (16, 1), (14, 12)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^2), set([(0, 17), (11, 12), (12, 5), (7, 16)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^14 + 3*x^13 + 3*x^12 + 2*x^11 - x^8 - 2*x^7 - 3*x^6 - 3*x^5 - 4*x^4 - 3*x^3 - 3*x^2 - 3*x - 1), set([(0, 17), (14, 3), (7, 14), (11, 10)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^4), set([(0, 17), (6, 12), (15, 2), (10, 8)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha - x^14 + x^12 + x^11 + x^9 - x^4 - 2*x^2 - x - 1), set([(0, 17), (11, 10), (6, 15), (13, 4)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha + x^9 - x^5 - x^3), set([(0, 17), (9, 11), (13, 4), (7, 13)]))
('Cluster size', 4, (x^11 + x^10 - x^8 + x^6 - x^4 - x - 1, 2*alpha + x^15 + 2*x^14 - x^12 - 2*x^8 - x^6 - 2*x^5 - 2*x^2 + x + 2), set([(0, 17), (5, 14), (11, 8), (14, 3)]))
('Cluster size', 4, (x^13 + x^9 - x^8 - x^4 - 1, alpha - 1), set([(0, 17), (17, 0), (12, 9), (9, 12)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^9 - x^7 - x^6), set([(0, 17), (10, 15), (13, 4), (11, 14)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha + 2*x^12 + x^11 + 2*x^10 + x^9 - x^6 - 2*x^5 - x^4 - 2*x^3 - 3*x^2 - x - 2), set([(0, 17), (13, 4), (10, 10), (6, 14)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha - 3*x^9 - 3*x^8 + x^7 + x^5 + x^4 + x^3 + 2*x^2 + 3*x + 3), set([(0, 17), (9, 11), (5, 15), (11, 6)]))
('Cluster size', 4, (x^13 - x^12 - x^9 - x^6 - x^3 - 1, alpha - x^12 + x^11 + x^8 + x^5 + x^2), set([(0, 17), (16, 1), (15, 14), (13, 16)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, 4*alpha - 7*x^17 - 4*x^16 + x^15 - 4*x^14 - 3*x^13 - 3*x^11 - 4*x^10 + 4*x^9 + 3*x^7 + 4*x^6 + 6*x^5 + x^4 + 5*x^3 + 2*x^2 + 4*x + 3), set([(0, 17), (3, 15), (13, 4), (11, 7)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha + x^3 - x^2 - 1), set([(0, 17), (9, 14), (7, 16), (10, 7)]))
('Cluster size', 4, (x^9 - x^5 - 1, alpha - x^6 + x^2), set([(0, 17), (9, 13), (14, 3), (10, 12)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha + x^7 - x^3 - x), set([(0, 17), (12, 5), (8, 11), (6, 13)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^8 - x^7), set([(0, 17), (14, 3), (10, 14), (11, 13)]))
('Cluster size', 4, (x^15 + x^14 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (5, 15), (14, 6)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha - x^6 - x^5 + x^3 + x^2 + 2*x + 1), set([(0, 17), (7, 14), (6, 15), (9, 8)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha + x^7 - x^4 - x), set([(0, 17), (12, 5), (9, 11), (6, 14)]))
('Cluster size', 4, (x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^9 - x^4), set([(0, 17), (12, 10), (14, 3), (7, 15)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha + x^8 - x^7 - x^5 + x^2 - x + 1), set([(0, 17), (10, 13), (9, 14), (13, 4)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha - 2*x^16 - x^15 - x^13 - x^12 - x^11 + x^9 + x^7 + x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + x), set([(0, 17), (11, 8), (4, 15), (13, 4)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^6), set([(0, 17), (10, 10), (15, 2), (8, 12)]))
('Cluster size', 4, (x^12 - x^5 - 1, alpha - 1), set([(0, 17), (12, 10), (17, 0), (10, 12)]))
('Cluster size', 4, (x^14 + x^11 - x^9 + x^8 - x^6 - x^3 - 1, alpha - 1), set([(0, 17), (17, 0), (12, 8), (8, 12)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - 3*x^4 - x^3 + 2*x^2 + 4*x), set([(0, 17), (5, 14), (4, 15), (7, 10)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha - 13*x^6 + 4*x^5 - 8*x^4 + 10*x^3 + 4*x^2 + 16*x + 11), set([(0, 17), (3, 16), (7, 10), (6, 13)]))
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 + 2*x - 1), set([(0, 17), (9, 8), (8, 13), (5, 16)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 3*x^12 + 3*x^11 + 3*x^10 + 4*x^9 + 3*x^8 - 3*x^5 - 4*x^4 - 3*x^3 - 4*x^2 - 3*x - 3), set([(0, 17), (6, 12), (13, 4), (8, 10)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 - x^3), set([(0, 17), (8, 14), (12, 5), (9, 13)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha + 3*x^8 + x^5 - 3*x^3 - x^2 - 4), set([(0, 17), (8, 12), (11, 6), (6, 14)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x - 4), set([(0, 17), (2, 16), (4, 13), (3, 15)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^6 - x^5 - x^4 + x^3 + x^2 + x), set([(0, 17), (5, 14), (12, 5), (9, 10)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (6, 12), (17, 0), (12, 6)]))
('Cluster size', 4, (x^14 - x - 1, alpha + x^13 - x^12 - 1), set([(0, 17), (2, 16), (15, 2), (14, 4)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha + 2*x^16 + 2*x^15 + x^13 + 2*x^12 + x^11 + x^10 - x^8 - x^7 - 2*x^6 - 3*x^5 - x^4 - 2*x^3 - 2*x^2 - 2*x), set([(0, 17), (3, 15), (12, 5), (10, 8)]))
('Cluster size', 4, (x^11 - x^8 - x^4 - 1, alpha - x^9 + x^6 + x^2), set([(0, 17), (12, 13), (15, 2), (11, 14)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - x^8 + x^6 - x^5 + x^3 - x^2 + x + 1), set([(0, 17), (3, 16), (9, 10), (10, 7)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(0, 17), (14, 9), (7, 16), (15, 2)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^6 - 3*x^4 - 2*x^3 - x^2 - x - 1), set([(0, 17), (8, 9), (6, 16), (7, 15)]))
('Cluster size', 4, (x^16 + x^15 + x^14 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (14, 4), (17, 0), (4, 14)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - x^6 + x^3 + x^2 - 1), set([(0, 17), (10, 7), (7, 13), (6, 14)]))
('Cluster size', 4, (x^12 - x^10 + x^7 - x^5 - 1, alpha - 1), set([(0, 17), (17, 0), (7, 15), (15, 7)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^9 - x^6 - x^3), set([(0, 17), (7, 14), (10, 11), (13, 4)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (7, 11), (16, 1), (10, 8)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha - x^11 - 2*x^10 - x^7 + x^5 + x^4 + x^3 + x^2 + 2*x + 1), set([(0, 17), (9, 10), (4, 15), (11, 6)]))
('Cluster size', 4, (x^11 - x^3 - 1, alpha - x^8 + 1), set([(0, 17), (14, 3), (11, 9), (6, 14)]))
('Cluster size', 4, (x^11 - x^9 - x^6 - x^3 - 1, alpha - x^8 + x^6 + x^3 + 1), set([(0, 17), (11, 15), (14, 3), (12, 14)]))
('Cluster size', 4, (x^14 + x^12 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^3 + x), set([(0, 17), (16, 1), (12, 7), (6, 13)]))
('Cluster size', 4, (x^16 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (16, 12), (12, 16)]))
('Cluster size', 4, (x^16 + x^15 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (13, 15), (15, 13)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (7, 11), (17, 0), (11, 7)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 + x^2 + x + 1), set([(0, 17), (16, 1), (4, 14), (13, 5)]))
('Cluster size', 4, (x^14 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^2), set([(0, 17), (14, 6), (15, 2), (4, 16)]))
('Cluster size', 4, (x^15 + x^13 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (10, 13), (13, 10), (17, 0)]))
('Cluster size', 4, (x^11 - x^10 - x^5 - 1, alpha - x^10 + x^9 + x^4), set([(0, 17), (11, 16), (16, 1), (15, 12)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^3 - x), set([(0, 17), (9, 13), (7, 15), (11, 6)]))
('Cluster size', 4, (x^15 - x - 1, alpha - x^14 + 1), set([(0, 17), (2, 16), (16, 1), (15, 3)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - 1), set([(0, 17), (12, 5), (5, 15), (10, 10)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 + x^11 + x^10 + x^9 + x^7 - x^5 - x^4 - 2*x^3 - x^2 - x - 1), set([(0, 17), (12, 5), (5, 13), (8, 10)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 - x^8 - x^7 - x^6 + x^5 + x^3 + x^2 + 1), set([(0, 17), (7, 11), (5, 13), (11, 6)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 - x^10 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (6, 12), (16, 1), (11, 7)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^7 - x^2), set([(0, 17), (10, 8), (14, 3), (5, 13)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha - x^5 + x^4 + 1), set([(0, 17), (12, 13), (9, 16), (13, 4)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 - x^4 + x^3 + 2*x + 1), set([(0, 17), (9, 8), (5, 15), (7, 13)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha + x^7 - x^5 - x^3), set([(0, 17), (12, 5), (10, 13), (8, 15)]))
('Cluster size', 4, (x^10 - x - 1, alpha + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - 1), set([(0, 17), (2, 16), (11, 6), (10, 8)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha - x^21 + x^20 + x^17 + x^11 - x^7 - x^6 - x^5 - x^4 - 1), set([(0, 17), (3, 16), (13, 6), (14, 3)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha + x^11 - x^10 - x^8), set([(0, 17), (11, 16), (14, 3), (13, 14)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^8 - x^6 + 2*x^5 - x^4 + x^3 - x^2 + x), set([(0, 17), (5, 14), (8, 11), (11, 6)]))
('Cluster size', 4, (x^15 + x^14 - x^2 - x - 1, alpha - x^14 - x^13 + x + 1), set([(0, 17), (3, 15), (16, 1), (14, 4)]))
('Cluster size', 4, (x^14 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^8), set([(0, 17), (10, 16), (15, 2), (14, 12)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha + x^7 - x^6 + x^5 - x^4 - x - 1), set([(0, 17), (6, 16), (11, 6), (10, 12)]))
('Cluster size', 4, (x^16 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (10, 16), (17, 0), (16, 10)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha - x^5 + 1), set([(0, 17), (13, 4), (8, 13), (9, 12)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (13, 12), (11, 14)]))
('Cluster size', 4, (x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^11 - x^5), set([(0, 17), (13, 9), (7, 15), (15, 2)]))
('Cluster size', 4, (x^11 - x^10 + x^6 - x^5 - 1, alpha - x^10 + x^9 - x^5 + x^4), set([(0, 17), (16, 1), (6, 16), (15, 7)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^4), set([(0, 17), (13, 4), (8, 16), (12, 12)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha + x^9 - x^5 - x^2), set([(0, 17), (9, 10), (13, 4), (6, 13)]))
('Cluster size', 4, (x^11 - x^5 - 1, alpha - x^10 + x^4), set([(0, 17), (16, 1), (10, 12), (11, 11)]))
('Cluster size', 4, (x^13 - x^4 - 1, alpha - 1), set([(0, 17), (17, 0), (8, 13), (13, 8)]))
('Cluster size', 4, (x^16 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (16, 4), (4, 16)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 2*x^4 - 2*x^3 + x^2 + 3*x + 1), set([(0, 17), (7, 12), (4, 15), (9, 8)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (9, 13), (16, 1), (12, 10)]))
('Cluster size', 4, (x^11 + x^8 - x^6 - x^3 - 1, alpha - x^8 - x^5 + x^3 + 1), set([(0, 17), (14, 3), (9, 11), (8, 12)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (11, 8), (8, 11), (17, 0)]))
('Cluster size', 4, (x^11 - x^8 + x^5 - x^2 - x - 1, alpha + x^20 - x^19 + x^18 - x^17 + 2*x^16 - x^15 + x^14 - x^13 + x^12 - 2*x^11 + x^10 - 2*x^9 + x^8 - 2*x^7 - 2*x^5 - 2*x^3 + 1), set([(0, 17), (14, 7), (15, 2), (5, 16)]))
('Cluster size', 4, (x^14 - x^3 - 1, alpha - 1), set([(0, 17), (17, 0), (14, 6), (6, 14)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 4*x^8 + x^7 + 6*x^6 + 3*x^5 + 2*x^3 - 2*x - 9), set([(0, 17), (3, 15), (8, 9), (6, 12)]))
('Cluster size', 4, (x^12 - x^3 - 1, alpha - x^10 + x), set([(0, 17), (12, 8), (15, 2), (6, 14)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha + x^5 - x^2 - x), set([(0, 17), (7, 14), (8, 13), (11, 6)]))
('Cluster size', 4, (x^10 - x^6 - 1, alpha - x^9 + x^5), set([(0, 17), (16, 1), (10, 13), (12, 11)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha - 2*x^12 + x^9 + x^7 + 2*x^5 - x^4 + 2*x^3 + 2*x), set([(0, 17), (13, 4), (11, 12), (8, 15)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha + x^16 + x^14 + x^12 + x^11 - x^7 - 2*x^6 - x^5 - 2*x^4 - 3*x^3 - 2*x^2 - 2*x - 3), set([(0, 17), (13, 4), (12, 8), (4, 16)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha - 2*x^14 - 4*x^13 - 6*x^12 - 5*x^11 - 4*x^10 - 2*x^9 - x^8 + x^7 + 2*x^6 + 4*x^5 + 5*x^4 + 7*x^3 + 6*x^2 + 4*x + 2), set([(0, 17), (12, 5), (4, 14), (9, 9)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 2*alpha - x^13 + 2*x^12 + 3*x^11 + 2*x^9 - x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 4*x^3 - 2*x^2 - 2*x - 3), set([(0, 17), (13, 4), (7, 15), (11, 11)]))
('Cluster size', 4, (x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^6), set([(0, 17), (14, 3), (9, 16), (13, 12)]))
('Cluster size', 4, (x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^9), set([(0, 17), (14, 3), (13, 15), (12, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 + x^3 + x^2 + x + 1), set([(0, 17), (5, 14), (13, 6), (16, 1)]))
('Cluster size', 4, (x^9 - x^8 - 1, alpha - 1), set([(0, 17), (16, 9), (9, 16), (17, 0)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + 2*x^3 + x^2 - 2*x - 1), set([(0, 17), (6, 15), (7, 10), (5, 16)]))
('Cluster size', 4, (x^11 - x^10 - x^4 + x^3 - x^2 + x - 1, alpha - 1), set([(0, 17), (15, 12), (12, 15), (17, 0)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, 2*alpha + 3*x^14 + 2*x^13 + 4*x^12 + x^11 + 2*x^10 + 2*x^9 - 2*x^6 - 3*x^5 - 2*x^4 - 4*x^3 - 4*x^2 - x - 4), set([(0, 17), (10, 8), (13, 4), (4, 14)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 + x^4 + x^2 + 1), set([(0, 17), (14, 11), (9, 16), (15, 2)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 + x - 2), set([(0, 17), (9, 8), (8, 12), (4, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (12, 12), (11, 13)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(0, 17), (14, 9), (9, 14), (17, 0)]))
('Cluster size', 4, (x^13 - x^3 - x^2 - x - 1, alpha - x^20 + x^19 + x^15 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x), set([(0, 17), (14, 3), (13, 7), (4, 16)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - x^11 - x^10 - x^8 - x^7 + x^6 + 2*x^3 + x^2 + 1), set([(0, 17), (3, 15), (8, 10), (10, 7)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 9*x^4 - 8*x^3 - 2*x^2 + 3*x - 12), set([(0, 17), (6, 14), (7, 10), (4, 16)]))
('Cluster size', 4, (x^15 - x^2 - x - 1, alpha - x^14 + x + 1), set([(0, 17), (3, 16), (16, 1), (15, 4)]))
('Cluster size', 4, (x^14 - x^12 + x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha - 1), set([(0, 17), (17, 0), (5, 15), (15, 5)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^5 - x), set([(0, 17), (13, 4), (5, 13), (9, 9)]))
('Cluster size', 4, (x^13 - x^8 - x^4 - 1, alpha - 1), set([(0, 17), (12, 13), (13, 12), (17, 0)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^9 - x^8 - x^7), set([(0, 17), (11, 16), (12, 15), (13, 4)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + 2*x^4 + x^2 - x + 1), set([(0, 17), (13, 4), (12, 9), (5, 16)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^2), set([(0, 17), (12, 10), (13, 4), (6, 16)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (9, 13), (17, 0), (13, 9)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 + x^4 + x^2 + 1), set([(0, 17), (13, 10), (15, 2), (8, 15)]))
('Cluster size', 4, (x^12 - x^4 - 1, alpha - x^11 + x^3), set([(0, 17), (12, 9), (8, 13), (16, 1)]))
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 2*x^18 + x^17 - x^16 - x^12 - x^10 + 2*x^9 + 2*x^7 + x^6 + x^5 + x^3 + 2*x + 1), set([(0, 17), (3, 16), (12, 7), (13, 4)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 - x^2 - x), set([(0, 17), (10, 7), (8, 16), (9, 15)]))
('Cluster size', 4, (x^13 - x - 1, alpha - 2*x^22 - x^20 - x^18 - x^17 - x^16 - x^15 - x^14 - x^13 - x^12 + x^11 + x^10 + 2*x^9 + x^8 + x^7 + x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x + 2), set([(0, 17), (2, 16), (14, 3), (13, 5)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + 2*x^9 - 2*x^8 + 2*x^7 - 2*x^6 + x^5 - 3*x^4 - 2*x^2 - x - 2), set([(0, 17), (10, 13), (7, 16), (11, 6)]))
('Cluster size', 4, (x^9 - x^7 + x^5 - x^4 - x^3 + x^2 - 1, alpha - x^8 + x^3 + 1), set([(0, 17), (11, 12), (9, 14), (14, 3)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (5, 13), (12, 6)]))
('Cluster size', 4, (x^8 - x^6 - 1, alpha - x^5 + x^3), set([(0, 17), (14, 3), (12, 11), (8, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^9 - x^5), set([(0, 17), (7, 13), (15, 2), (11, 9)]))
('Cluster size', 4, (x^15 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (15, 13), (12, 16)]))
('Cluster size', 4, (x^13 + x^10 - x^6 - x^3 - 1, alpha - x^12 - x^9 + x^5 + x^2), set([(0, 17), (16, 1), (9, 11), (10, 10)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (11, 16), (16, 11), (17, 0)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^8 + x^7 - x^5 + 2*x^3 - x^2 + 1), set([(0, 17), (10, 7), (9, 11), (4, 16)]))
('Cluster size', 4, (x^9 - x^7 - 1, alpha - x^8 + x^6), set([(0, 17), (16, 1), (14, 10), (9, 15)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^3 - x^2 - x - 1, alpha - x^18 - x^17 - x^16 - x^14 - x^13 - x^12 + x^11 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2), set([(0, 17), (11, 7), (14, 3), (4, 14)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 3*x^10 - 4*x^9 - x^8 + 3*x^6 + 7*x^5 + 8*x^4 + 9*x^3 + 7*x^2 + 8*x + 5), set([(0, 17), (9, 13), (6, 16), (10, 7)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 + x^3 - x - 1), set([(0, 17), (7, 11), (4, 14), (10, 7)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^5 - x^4 - x^3), set([(0, 17), (10, 15), (9, 16), (11, 6)]))
('Cluster size', 4, (x^13 - x^9 - x^6 - x^3 - 1, alpha - x^12 + x^8 + x^5 + x^2), set([(0, 17), (16, 1), (12, 14), (13, 13)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^7 - x^5), set([(0, 17), (13, 4), (11, 13), (9, 15)]))
('Cluster size', 4, (x^15 + x^13 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (13, 6), (17, 0), (6, 13)]))
('Cluster size', 4, (x^13 - x^4 - x^3 - x^2 - x - 1, alpha - x^19 + x^18 + x^13 + x^11 - x^5 - x^4 - x^3 - 2*x^2 - x - 1), set([(0, 17), (14, 3), (13, 8), (5, 16)]))
('Cluster size', 4, (x^14 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^7 + x^5 + x^3 + x), set([(0, 17), (10, 15), (16, 1), (14, 11)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^9 - x^4 - x^3), set([(0, 17), (7, 12), (8, 11), (13, 4)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 2*x^4 + 3*x^2 + x - 2), set([(0, 17), (3, 15), (6, 11), (4, 14)]))
('Cluster size', 4, (x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^16 - x^14 - x^13 + x^11 + x^10 + 2*x^9 + 3*x^8 + 4*x^7 + 4*x^6 + 3*x^5 + 4*x^4 + 4*x^3 + 2*x^2 + 2*x + 1), set([(0, 17), (14, 3), (8, 16), (13, 11)]))
('Cluster size', 4, (x^15 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (8, 16), (15, 9)]))
('Cluster size', 4, (x^13 - x^12 - x^8 - x^4 - 1, alpha - 1), set([(0, 17), (17, 0), (16, 13), (13, 16)]))
('Cluster size', 4, (x^15 - x^14 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (17, 0), (15, 16), (16, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 - x^9 + x^7 + x^6 + x^5 + x^3 + x + 1), set([(0, 17), (12, 5), (7, 14), (9, 12)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 5*x^8 + x^7 - x^6 - 5*x^5 - 6*x^4 - 5*x^3 - 5*x^2 - 4*x - 6), set([(0, 17), (8, 14), (9, 8), (6, 16)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^4), set([(0, 17), (12, 5), (10, 14), (9, 15)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^6 - x^5 - 2*x^3 + x + 1), set([(0, 17), (5, 14), (9, 8), (6, 13)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + 4*x^7 + 2*x^6 - x^5 - 3*x^4 - 7*x^3 - 5*x^2 - 6*x - 5), set([(0, 17), (8, 9), (7, 14), (5, 16)]))
('Cluster size', 4, (x^15 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (15, 6), (5, 16)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - x^11 + x^6 + x^4 + x^2 + 1), set([(0, 17), (10, 15), (13, 12), (15, 2)]))
('Cluster size', 4, (x^14 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^4), set([(0, 17), (6, 16), (15, 2), (14, 8)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(0, 17), (17, 0), (15, 8), (8, 15)]))
('Cluster size', 4, (x^7 - x - 1, alpha + 2*x^10 + x^9 + x^8 + 2*x^7 + x^6 - 3*x^4 - 2*x^3 - 3*x^2 - 2*x - 4), set([(0, 17), (2, 16), (8, 9), (7, 11)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 - x^6 + x^4 + x^3 + x^2 + 1), set([(0, 17), (10, 7), (5, 15), (8, 12)]))
('Cluster size', 4, (x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^11 - x^9 + x^6 + x^4 + x^2 + 1), set([(0, 17), (10, 13), (11, 12), (15, 2)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^9 - x^7), set([(0, 17), (9, 13), (11, 11), (15, 2)]))
('Cluster size', 4, (x^16 - x - 1, alpha - 1), set([(0, 17), (2, 16), (17, 0), (16, 2)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^4 + x^3 - x - 2), set([(0, 17), (8, 9), (4, 14), (5, 13)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - x^12 + x^11 - x^9 + x^8 - x^6 + x^5 + x^2), set([(0, 17), (15, 8), (7, 16), (16, 1)]))
('Cluster size', 4, (x^16 + x^15 + x^14 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (8, 14), (17, 0), (14, 8)]))
('Cluster size', 4, (x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^3), set([(0, 17), (13, 9), (14, 3), (6, 16)]))
('Cluster size', 4, (x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^9 - x^6), set([(0, 17), (14, 3), (12, 12), (9, 15)]))
('Cluster size', 4, (x^15 - x^2 - 1, alpha - 1), set([(0, 17), (15, 4), (4, 15), (17, 0)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha + 5*x^12 + 8*x^11 + 11*x^10 + 7*x^9 + 3*x^8 - x^6 - 4*x^5 - 8*x^4 - 11*x^3 - 13*x^2 - 6*x - 3), set([(0, 17), (4, 14), (11, 6), (8, 10)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha + x^10 + 3*x^9 - 3*x^4 - 2*x^3 - 3*x^2 - x - 4), set([(0, 17), (6, 15), (11, 6), (9, 12)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - 1), set([(0, 17), (12, 5), (11, 10), (5, 16)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^9 + x^2 + 1), set([(0, 17), (11, 8), (15, 2), (6, 13)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + 2*x^8 + 2*x^7 + x^6 - x^5 - 2*x^4 - 3*x^3 - 6*x^2 - 4*x - 2), set([(0, 17), (8, 9), (7, 13), (4, 16)]))
('Cluster size', 4, (x^5 - x - 1, alpha + 4*x^6 - x^5 + 4*x^4 - 4*x^3 - x^2 - 5*x - 2), set([(0, 17), (2, 16), (6, 11), (5, 13)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^2 - x - 1, alpha - x^11 - x^9 - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(0, 17), (7, 12), (15, 2), (10, 9)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - x^11 + x^10 - x^9 + x^8 + x^6 + x^4 + x^2 + 1), set([(0, 17), (11, 16), (15, 2), (14, 13)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (5, 14), (17, 0), (14, 5)]))
('Cluster size', 4, (x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^11 + x^10 + x^8 + x^6 + x^4 + x^2 + 1), set([(0, 17), (14, 15), (15, 2), (13, 16)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (14, 11), (17, 0), (11, 14)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha + 4*x^13 + 9*x^12 + x^11 + 3*x^10 + 7*x^9 + 3*x^8 - 3*x^6 - x^5 - 9*x^4 - 8*x^3 - 8*x^2 - 3*x - 10), set([(0, 17), (3, 15), (9, 9), (11, 6)]))
('Cluster size', 4, (x^14 + x^13 - x^2 - x - 1, 5*alpha + 6*x^21 + x^19 + 5*x^18 + x^17 + x^15 + x^13 - 5*x^11 - 6*x^9 - 7*x^7 + x^6 - 8*x^5 + 2*x^4 - 4*x^3 + 3*x^2 - 5*x + 4), set([(0, 17), (3, 15), (13, 5), (15, 2)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^6 - x^4 - x^2 - 1, alpha - x^11 - x^9 - x^7 + x^4 + x^2 + 1), set([(0, 17), (9, 10), (8, 11), (15, 2)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^9 - x^6 - x), set([(0, 17), (5, 14), (13, 4), (10, 9)]))
('Cluster size', 4, (x^13 - x^6 - x^3 - 1, alpha - x^12 + x^5 + x^2), set([(0, 17), (13, 10), (9, 14), (16, 1)]))
('Cluster size', 4, (x^11 - x - 1, alpha - 2*x^18 - 2*x^16 - x^14 - x^12 - x^11 - x^10 + x^9 + x^8 + 3*x^7 + x^6 + 2*x^5 + x^4 + x^3 + x^2 + 2*x + 2), set([(0, 17), (2, 16), (12, 5), (11, 7)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^5 - 2*x), set([(0, 17), (8, 9), (4, 15), (6, 13)]))
('Cluster size', 4, (x^12 - x - 1, alpha + 2*x^20 + 2*x^18 + x^17 + 2*x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^10 - x^9 - 3*x^8 - 2*x^7 - 3*x^6 - 3*x^5 - 3*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(0, 17), (2, 16), (13, 4), (12, 6)]))
('Cluster size', 4, (x^13 - x^12 + x^9 - x^8 + x^5 - x^4 - 1, alpha - 1), set([(0, 17), (17, 0), (16, 5), (5, 16)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x), set([(0, 17), (12, 5), (6, 16), (11, 11)]))
('Cluster size', 4, (x^11 - x^6 - 1, alpha - 1), set([(0, 17), (17, 0), (11, 12), (12, 11)]))
('Cluster size', 4, (x^14 - x^12 + x^11 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(0, 17), (11, 15), (17, 0), (15, 11)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + 2*x^4 - 3*x^2 - x + 1), set([(0, 17), (8, 9), (5, 15), (6, 14)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (13, 7), (17, 0), (7, 13)]))
('Cluster size', 4, (x^14 + x^12 + x^10 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 - x^9 + x^5 + x^3 + x), set([(0, 17), (16, 1), (8, 11), (10, 9)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (7, 14), (14, 7), (17, 0)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 + x^5 + x^4 - x^2 - x - 1, alpha + x^20 + x^16 - x^11 - x^9 - x^7 - x^5 - x^3 + 1), set([(0, 17), (13, 6), (4, 15), (15, 2)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^8 + x^7 - x^6 + 2*x^5 - 2*x^4 + x^3 + x), set([(0, 17), (10, 11), (11, 6), (5, 16)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha - x^4 + x), set([(0, 17), (8, 14), (13, 4), (10, 12)]))
('Cluster size', 4, (x^15 + x^14 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (7, 15), (14, 8)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^3 - x^2 - x - 1, alpha + x^13 - x^10 - x^2), set([(0, 17), (4, 14), (15, 2), (12, 6)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha - 3*x^9 - 4*x^8 - x^7 - 2*x^6 - 2*x^5 + 2*x^4 + 3*x^3 + 2*x^2 + 6*x + 3), set([(0, 17), (3, 15), (9, 8), (7, 11)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + x^5 - 2*x^4 - x^3 + 2*x^2 - 2*x + 2), set([(0, 17), (3, 15), (5, 13), (7, 10)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + 3*x^4 - x^3 - 4*x^2 - 3*x + 1), set([(0, 17), (6, 11), (5, 15), (4, 16)]))
('Cluster size', 4, (x^13 + x^12 - x^2 - x - 1, alpha + x^19 + 2*x^18 + x^17 + x^16 + 2*x^15 + x^14 + x^13 + x^12 + x^11 - x^9 - x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - x - 2), set([(0, 17), (3, 15), (14, 3), (12, 6)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^5), set([(0, 17), (10, 16), (12, 5), (11, 15)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (7, 14), (13, 8)]))
('Cluster size', 4, (x^14 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(0, 17), (14, 12), (17, 0), (12, 14)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^7 - x^5 - x), set([(0, 17), (10, 11), (12, 5), (6, 15)]))
('Cluster size', 4, (x^13 - x^4 - x^2 - 1, alpha - x^17 - x^16 - x^15 - x^14 - x^13 - x^11 + x^8 + x^7 + 2*x^6 + 2*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + x + 2), set([(0, 17), (6, 15), (15, 2), (13, 8)]))
('Cluster size', 4, (x^13 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - x^12 - x^9 + x^8 - x^6 + x^5 + x^2), set([(0, 17), (16, 1), (7, 13), (12, 8)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 + 2*x^10 + 2*x^9 + x^8 - x^7 - x^6 - 3*x^5 - 5*x^4 - 5*x^3 - 6*x^2 - 4*x - 2), set([(0, 17), (10, 7), (9, 12), (5, 16)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^4), set([(0, 17), (12, 5), (9, 16), (11, 14)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^8 - x^5), set([(0, 17), (8, 14), (14, 3), (11, 11)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha + x^5 - x^3 - x^2), set([(0, 17), (9, 14), (11, 6), (8, 15)]))
('Cluster size', 4, (x^16 + x^15 - x^2 - x - 1, alpha - 1), set([(0, 17), (3, 15), (17, 0), (15, 3)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha - x^9 + x^7 - x^5 + x), set([(0, 17), (12, 5), (4, 15), (10, 9)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^5 + 2*x^3 - x), set([(0, 17), (8, 13), (6, 15), (10, 7)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^6 - x^3), set([(0, 17), (6, 12), (14, 3), (9, 9)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (13, 11), (11, 13)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (10, 8), (17, 0), (8, 10)]))
('Cluster size', 4, (x^16 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (16, 14), (17, 0), (14, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 - x^10 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (7, 12), (11, 8), (16, 1)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha - x^6 + x^5 + x^3 + 2*x - 1), set([(0, 17), (9, 8), (7, 16), (8, 15)]))
('Cluster size', 4, (x^15 + x^14 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (13, 15), (14, 14)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 - x^5 - x^4 + x^3 + x^2 + x + 1), set([(0, 17), (6, 12), (5, 13), (10, 7)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - x^12 + x^11 - x^9 + x^8 - x^6 + x^5 - x^3 + x^2), set([(0, 17), (16, 1), (15, 5), (4, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^10 - x^8), set([(0, 17), (10, 14), (15, 2), (12, 12)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha + 3*x^9 + 3*x^8 + 2*x^7 + 2*x^6 - 4*x^4 - 6*x^3 - 7*x^2 - 8*x - 4), set([(0, 17), (3, 16), (8, 9), (7, 12)]))
('Cluster size', 4, (x^16 + x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (15, 9), (9, 15)]))
('Cluster size', 4, (x^14 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^5 + x^3 + x), set([(0, 17), (16, 1), (14, 9), (8, 15)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (11, 10), (10, 11), (17, 0)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 3*x^10 - 3*x^7 - 3*x^6 - 2*x^5 - 4*x^4 - 3*x^3 - 4*x^2 - 3*x - 3), set([(0, 17), (8, 16), (11, 6), (10, 14)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 - x^6 - x^3 - 1, alpha - x^12 + x^11 - x^9 + x^8 + x^5 + x^2), set([(0, 17), (10, 16), (16, 1), (15, 11)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha + 2*x^14 + x^13 + 2*x^12 + 2*x^10 + x^9 - x^8 - 2*x^7 - 3*x^6 - 4*x^5 - 6*x^4 - 5*x^3 - 5*x^2 - 2*x - 2), set([(0, 17), (10, 10), (11, 6), (4, 16)]))
('Cluster size', 4, (x^9 - x^6 - 1, alpha - x^7 + x^4), set([(0, 17), (9, 14), (15, 2), (12, 11)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 13*x^8 + 3*x^7 + 11*x^6 + 5*x^5 - 4*x^4 - 10*x^3 - 18*x^2 - 13*x - 17), set([(0, 17), (2, 16), (7, 10), (6, 12)]))
('Cluster size', 4, (x^15 + x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (13, 14), (17, 0), (14, 13)]))
('Cluster size', 4, (x^10 - x^7 - 1, alpha - 1), set([(0, 17), (14, 10), (10, 14), (17, 0)]))
('Cluster size', 4, (x^15 + x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (9, 10), (17, 0), (10, 9)]))
('Cluster size', 4, (x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^11 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 + 1), set([(0, 17), (5, 14), (12, 7), (15, 2)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^22 - x^21 + 2*x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 2*x^11 + x^10 - 2*x^9 - 2*x^7 - x^5 + x^4 - x^3 + x^2 - x + 1), set([(0, 17), (3, 16), (15, 2), (14, 5)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^11 - x^9 - x^7 + x^6 + x^4 + x^2 + 1), set([(0, 17), (10, 11), (15, 2), (9, 12)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (8, 14), (16, 1), (13, 9)]))
('Cluster size', 4, (x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^11 - x^7), set([(0, 17), (13, 11), (15, 2), (9, 15)]))
('Cluster size', 4, (x^14 - x^4 - x^2 - 1, alpha - x^13 + x^3 + x), set([(0, 17), (14, 7), (6, 15), (16, 1)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - x^2 - 4*x + 8), set([(0, 17), (3, 16), (4, 15), (5, 12)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha - x^2 + 1), set([(0, 17), (12, 5), (7, 15), (10, 12)]))
('Cluster size', 4, (x^15 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (14, 16), (15, 15)]))
('Cluster size', 4, (x^16 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (8, 16), (16, 8)]))
('Cluster size', 4, (x^15 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (15, 6), (6, 15), (17, 0)]))
('Cluster size', 4, (x^8 - x - 1, alpha + x^9 + x^7 - x^6 + x^5 - x^4 + x^3 - 2*x^2 - 2), set([(0, 17), (2, 16), (9, 8), (8, 10)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 69*x^4 + 19*x^3 - 14*x^2 - 59*x - 95), set([(0, 17), (2, 16), (5, 12), (4, 14)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha + x^7 - x^5 + x^3 - 2*x), set([(0, 17), (10, 7), (4, 15), (8, 11)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha + x^9 + 2*x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 2), set([(0, 17), (5, 14), (7, 12), (10, 7)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 - x - 1), set([(0, 17), (8, 14), (7, 15), (10, 7)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, 3*alpha - 2*x^15 + 3*x^14 + 4*x^13 + x^11 + 3*x^9 - x^7 - 3*x^6 - 2*x^5 - 3*x^4 - 3*x^3 - 5*x^2 - 3*x - 1), set([(0, 17), (13, 4), (5, 15), (11, 9)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + 7*x^8 + 8*x^7 + 7*x^6 + x^5 - x^4 - 7*x^3 - 9*x^2 - 6*x - 8), set([(0, 17), (6, 12), (9, 8), (4, 14)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (10, 14), (13, 11)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^2 - x), set([(0, 17), (6, 12), (12, 5), (7, 11)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^14 - x^12 + x^11 + x^8 - x^7 - x^6 - x^4 - x - 1), set([(0, 17), (3, 16), (11, 6), (10, 9)]))
('Cluster size', 4, (x^13 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^11 + x^8 + x^6 + x^4 + x^2 + 1), set([(0, 17), (13, 14), (12, 15), (15, 2)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha + x^10 - x^9 + x^7 - x^6 - x), set([(0, 17), (3, 16), (12, 5), (11, 8)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^14 - 2*x^13 - 2*x^12 - x^11 + x^7 + 2*x^6 + 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 2*x), set([(0, 17), (14, 3), (7, 13), (10, 10)]))
('Cluster size', 4, (x^10 - x^8 - x^4 - 1, alpha - x^7 + x^5 + x), set([(0, 17), (10, 15), (12, 13), (14, 3)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^3 - x^2), set([(0, 17), (12, 5), (7, 13), (8, 12)]))
('Cluster size', 4, (x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha - x^13 + x^11 - x^10 - x^7 + x^6 + x^3 + 1), set([(0, 17), (14, 3), (5, 15), (12, 8)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (7, 12), (12, 7), (17, 0)]))
('Cluster size', 4, (x^11 + x^10 + x^7 - x^5 - x^4 - x - 1, alpha + x^11 - x^6 - x^4), set([(0, 17), (7, 12), (9, 10), (14, 3)]))
('Cluster size', 4, (x^13 - x^12 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(0, 17), (15, 14), (14, 15), (17, 0)]))
('Cluster size', 4, (x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^14 + x^11 + x^10 + 2*x^9 + 2*x^8 + x^7 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x), set([(0, 17), (10, 16), (14, 3), (13, 13)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^10 - x^9 + x^8 + x^7 - x^6 - x^3 - x^2 - 2), set([(0, 17), (3, 16), (8, 11), (9, 8)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^8 - 2*x^6 - x^5 - x^4 - 2*x^3 - x^2 - x), set([(0, 17), (12, 5), (8, 16), (11, 13)]))
('Cluster size', 4, (x^16 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (16, 6), (17, 0), (6, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (8, 10), (9, 9)]))
('Cluster size', 4, (x^14 + x^11 - x^6 - x^3 - 1, alpha - 1), set([(0, 17), (17, 0), (9, 11), (11, 9)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(0, 17), (3, 16), (16, 3), (17, 0)]))
('Cluster size', 4, (x^12 - x^2 - 1, alpha + x^15 + x^11 - x^9 - x^5 - x^3 - x), set([(0, 17), (14, 3), (4, 15), (12, 7)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^5 - x^4), set([(0, 17), (7, 11), (14, 3), (8, 10)]))
('Cluster size', 4, (x^13 - x^3 - 1, alpha - x^12 + x^2), set([(0, 17), (16, 1), (13, 7), (6, 14)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha - x^10 + x^8 - x^7 + x^6 + 2*x^2 + 1), set([(0, 17), (13, 4), (7, 16), (12, 11)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (17, 0), (7, 16), (16, 7)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^11 - x^10 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (11, 10), (9, 12)]))
('Cluster size', 4, (x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 17), (16, 1), (9, 16), (15, 10)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha - x^17 + x^16 + x^15 + x^11 - x^8 - x^7 - x^6 - x^5 - 2*x^4 - 2*x^3 - x^2), set([(0, 17), (13, 10), (7, 16), (14, 3)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(0, 17), (17, 0), (5, 13), (13, 5)]))
('Cluster size', 4, (x^10 - x^4 - 1, alpha - x^7 + x), set([(0, 17), (10, 11), (8, 13), (14, 3)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^9 + x^6 - x^5 + x^2), set([(0, 17), (7, 14), (12, 9), (15, 2)]))
('Cluster size', 4, (x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^11 - x^3), set([(0, 17), (13, 7), (5, 15), (15, 2)]))
('Cluster size', 4, (x^14 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^10), set([(0, 17), (14, 14), (15, 2), (12, 16)]))
('Cluster size', 4, (x^8 - x^7 - 1, alpha + x^12 - x^11 + x^10 - x^9 - x^6 + x^5 - x^4 - x^2), set([(0, 17), (14, 10), (8, 16), (15, 2)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha - x^15 - 2*x^14 - x^12 - x^11 - x^10 + 2*x^7 + 2*x^6 + 3*x^5 + 4*x^4 + 4*x^3 + 3*x^2 + 3*x + 2), set([(0, 17), (12, 5), (11, 9), (4, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^7 - x^5), set([(0, 17), (7, 11), (9, 9), (15, 2)]))
('Cluster size', 4, (x^15 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(0, 17), (10, 15), (17, 0), (15, 10)]))
('Cluster size', 4, (x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^11 - x^9), set([(0, 17), (11, 15), (13, 13), (15, 2)]))
('Cluster size', 4, (x^12 + x^10 - x^4 - x^2 - 1, alpha + x^11 - x^7 - x^3), set([(0, 17), (14, 3), (10, 9), (6, 13)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 + x^3 - x - 1, alpha - x^9 + x^2), set([(0, 17), (11, 10), (8, 13), (15, 2)]))

n = 18
('Cluster size', 4, (x^3 - x - 1, alpha - x^2 - x + 3), set([(5, 17), (9, 9), (0, 18), (8, 14)]))
('Cluster size', 4, (x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, 4*alpha + 3*x^19 + 8*x^18 + 3*x^17 + 4*x^16 + 3*x^15 + 4*x^14 + 7*x^13 + 4*x^12 - 4*x^10 - 3*x^9 - 8*x^8 - 6*x^7 - 12*x^6 - 9*x^5 - 13*x^4 - 8*x^3 - 14*x^2 - 4*x - 7), set([(15, 3), (13, 8), (0, 18), (5, 16)]))
('Cluster size', 4, (x^13 - x^12 - x^9 - x^6 - x^3 - 1, alpha - x^11 + x^10 + x^7 + x^4 + x), set([(16, 2), (13, 17), (0, 18), (15, 15)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - 1), set([(6, 17), (11, 12), (0, 18), (12, 6)]))
('Cluster size', 4, (x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^10 - x^8), set([(11, 16), (13, 14), (0, 18), (15, 3)]))
('Cluster size', 4, (x^14 + x^10 - x^8 - x^4 - 1, alpha - 1), set([(18, 0), (12, 10), (0, 18), (10, 12)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - x^6 - x^5 + 2*x^2 + x), set([(10, 8), (7, 14), (6, 15), (0, 18)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 - 2*x^10 - 2*x^9 - x^8 - x^7 + x^6 + x^5 + x^4 + 2*x^3 + x^2 + 2*x + 1), set([(5, 14), (8, 11), (0, 18), (12, 6)]))
('Cluster size', 4, (x^15 + x^14 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^12 - x^5), set([(14, 9), (7, 16), (0, 18), (16, 2)]))
('Cluster size', 4, (x^15 + x^13 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 + x^7 + x^5 + x^3 + x), set([(17, 1), (10, 14), (0, 18), (13, 11)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - x^11 + x^10 - x^8 + x^7 - x^5 + x^4 - x^2 + x), set([(15, 6), (4, 17), (0, 18), (16, 2)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^5 - x^2), set([(9, 10), (14, 4), (0, 18), (6, 13)]))
('Cluster size', 4, (x^15 - x^13 + x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha - 1), set([(18, 0), (3, 17), (17, 3), (0, 18)]))
('Cluster size', 4, (x^14 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^12 + x^8 + x^6 + x^4 + x^2 + 1), set([(16, 2), (14, 14), (0, 18), (12, 16)]))
('Cluster size', 4, (x^16 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(16, 13), (12, 17), (0, 18), (17, 1)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^9 - x^4), set([(11, 8), (0, 18), (6, 13), (16, 2)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^22 + x^21 + 2*x^19 + x^17 + x^15 + x^13 - 2*x^10 - x^9 - 3*x^8 - 2*x^7 - 3*x^6 - 2*x^5 - 2*x^4 - x^3 - 2*x^2 - x - 2), set([(15, 3), (3, 17), (0, 18), (14, 6)]))
('Cluster size', 4, (x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha + x^16 + x^15 + x^13 + 2*x^10 - x^9 - x^8 - 2*x^6 - x^5 - x^4 - 2*x^3 - x^2 - x - 1), set([(14, 4), (12, 9), (0, 18), (5, 16)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (14, 9), (9, 14), (0, 18)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha + x^13 + x^10 - x^9 - x^6 - x^5 - x^4 - 2*x^3 - x^2 - x - 1), set([(14, 4), (13, 11), (0, 18), (7, 17)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha + x^10 + x^6 - x^5 - x^4 - x^3 - 2*x - 1), set([(10, 8), (4, 17), (0, 18), (9, 12)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^7 - x^5), set([(10, 11), (8, 13), (0, 18), (15, 3)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 + 2*x^9 + x^8 + x^7 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(10, 8), (8, 13), (0, 18), (5, 16)]))
('Cluster size', 4, (x^9 - x^8 - 1, alpha - x^8 + x^7), set([(16, 10), (17, 1), (0, 18), (9, 17)]))
('Cluster size', 4, (x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^12 - x^11 - x^10), set([(13, 17), (0, 18), (15, 3), (14, 16)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^7 + x^6 - x^5 + 2*x^4 - 2*x^3 + x^2 + 1), set([(5, 17), (0, 18), (11, 7), (10, 12)]))
('Cluster size', 4, (x^17 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (4, 17), (0, 18), (17, 4)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - 2*x^3 - x + 1), set([(7, 14), (0, 18), (5, 16), (9, 9)]))
('Cluster size', 4, (x^13 - x^12 - x^8 - x^4 - 1, alpha - x^12 + x^11 + x^7 + x^3), set([(13, 17), (17, 1), (0, 18), (16, 14)]))
('Cluster size', 4, (x^17 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (12, 17), (0, 18), (17, 12)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^3 - x), set([(8, 17), (10, 15), (0, 18), (11, 7)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^11 - x^3), set([(13, 7), (5, 15), (0, 18), (16, 2)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 + x^6 - x^4 + x^3 + x^2 + x + 1), set([(10, 11), (0, 18), (5, 16), (12, 6)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha + x^6 - x^2 - 1), set([(12, 6), (8, 12), (0, 18), (6, 14)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha - 2*x^4 - 4*x^3 + 5*x + 3), set([(3, 16), (6, 12), (4, 15), (0, 18)]))
('Cluster size', 4, (x^13 - x^12 + x^9 - x^8 + x^5 - x^4 - 1, alpha - x^12 + x^11 - x^8 + x^7 - x^4 + x^3), set([(5, 17), (17, 1), (0, 18), (16, 6)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^8 - x^5), set([(7, 12), (0, 18), (10, 9), (16, 2)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha + x^10 - x^9 - x^7), set([(14, 4), (13, 15), (11, 17), (0, 18)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 7), (7, 13), (0, 18), (18, 0)]))
('Cluster size', 4, (x^17 + x^16 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (16, 13), (0, 18), (13, 16)]))
('Cluster size', 4, (x^13 - x^12 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^12 + x^11 + x^7 - x^6 + x^5 + x - 1), set([(15, 15), (17, 1), (0, 18), (14, 16)]))
('Cluster size', 4, (x^11 - x^8 + x^5 - x^2 - x - 1, alpha + x^20 + x^19 + x^17 + 2*x^15 + x^13 - 2*x^10 - x^9 - 3*x^8 - 2*x^7 - 4*x^6 - 3*x^5 - 4*x^4 - 3*x^3 - 4*x^2 - 2*x - 1), set([(5, 17), (0, 18), (15, 3), (14, 8)]))
('Cluster size', 4, (x^15 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^13 - x^12), set([(14, 17), (15, 16), (0, 18), (16, 2)]))
('Cluster size', 4, (x^15 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^13 - x^6), set([(8, 17), (0, 18), (15, 10), (16, 2)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha - 4*x^10 - 3*x^9 - x^8 + 4*x^5 + 4*x^4 + 5*x^3 + 2*x^2 + 5*x + 3), set([(9, 13), (0, 18), (11, 7), (6, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^3 - x^2 - x - 1, alpha + x^14 - x^11 - x^2), set([(13, 6), (4, 15), (0, 18), (16, 2)]))
('Cluster size', 4, (x^15 + x^14 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^12 - x^3), set([(14, 7), (0, 18), (5, 16), (16, 2)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha + 2*x^15 + 2*x^14 + x^12 + 2*x^11 + x^10 + x^9 - x^7 - x^6 - 2*x^5 - 3*x^4 - x^3 - 2*x^2 - 2*x - 2), set([(3, 16), (0, 18), (10, 9), (12, 6)]))
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha + x^4 - x^2 - x), set([(11, 7), (8, 16), (0, 18), (9, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 2*x^10 + x^9 - 3*x^8 + x^7 - x^6 + x^5 + 4*x^3 + x^2 + 3*x + 2), set([(3, 17), (9, 9), (0, 18), (8, 12)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha - 12*x^4 + 9*x^3 + 4*x^2 - 2*x + 15), set([(6, 15), (4, 17), (0, 18), (7, 11)]))
('Cluster size', 4, (x^12 - x^5 - 1, alpha - x^11 + x^4), set([(10, 13), (0, 18), (12, 11), (17, 1)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha - x^8 + x^6 - x^4 + 1), set([(12, 6), (10, 10), (0, 18), (4, 16)]))
('Cluster size', 4, (x^11 - x^10 - x^4 + x^3 - x^2 + x - 1, alpha - x^10 + x^9 + x^3 - x^2 + x - 1), set([(17, 1), (15, 13), (0, 18), (12, 16)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 2*x^10 + 2*x^6 + 2*x^5 + 3*x^4 + x^3 + 2*x^2 + 2*x + 1), set([(11, 7), (10, 14), (0, 18), (7, 17)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x^3), set([(10, 15), (9, 16), (0, 18), (12, 6)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^10 + x^6 + x^2), set([(10, 12), (12, 6), (0, 18), (6, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^11 - x^6), set([(13, 10), (0, 18), (8, 15), (16, 2)]))
('Cluster size', 4, (x^13 + x^12 - x^2 - x - 1, alpha - 2*x^20 - 4*x^19 - 3*x^18 - 2*x^17 - 3*x^16 - 3*x^15 - 2*x^14 - 3*x^13 - 3*x^12 - x^11 + x^10 + 2*x^9 + 3*x^8 + 5*x^7 + 4*x^6 + 4*x^5 + 4*x^4 + 4*x^3 + 4*x^2 + 4*x + 3), set([(3, 16), (14, 4), (12, 7), (0, 18)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha + x^8 - x^6 - x), set([(13, 5), (11, 11), (0, 18), (6, 16)]))
('Cluster size', 4, (x^14 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^20 - x^18 - x^17 - x^16 - x^15 - x^14 + x^12 + x^11 + 2*x^10 + 3*x^9 + 4*x^8 + 5*x^7 + 6*x^6 + 5*x^5 + 5*x^4 + 3*x^3 + 3*x^2 + 2*x + 1), set([(14, 9), (15, 3), (6, 17), (0, 18)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha + x^4 + 2*x^3 - x^2 - 3*x - 1), set([(6, 15), (0, 18), (5, 16), (8, 10)]))
('Cluster size', 4, (x^11 - x^10 - x^5 - 1, alpha - x^9 + x^8 + x^3), set([(11, 17), (15, 13), (0, 18), (16, 2)]))
('Cluster size', 4, (x^12 - x^4 - 1, alpha - x^10 + x^2), set([(16, 2), (8, 14), (0, 18), (12, 10)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 + x^3 + x^2 + x + 1), set([(5, 14), (13, 6), (0, 18), (17, 1)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^13 - 2*x^12 - 2*x^11 - x^10 + x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + 2*x + 2), set([(14, 4), (7, 14), (10, 11), (0, 18)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^5 + x^4 - x^3 - 1), set([(5, 14), (7, 12), (0, 18), (11, 7)]))
('Cluster size', 4, (x^15 - x - 1, alpha + 2*x^26 + x^25 + 2*x^24 + x^23 + x^22 + x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 - x^13 - 2*x^12 - 3*x^11 - 3*x^10 - 3*x^9 - 2*x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(15, 4), (0, 18), (2, 17), (16, 2)]))
('Cluster size', 4, (x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^5), set([(13, 13), (14, 4), (0, 18), (9, 17)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 - x^10 + x^5 + x^3 + x), set([(17, 1), (11, 9), (0, 18), (8, 12)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 8), (18, 0), (8, 11), (0, 18)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - 2*x^6 - 2*x^5 - 2*x^4 + x^3 + 3*x^2 + 2*x + 1), set([(5, 14), (4, 15), (0, 18), (8, 10)]))
('Cluster size', 4, (x^16 + x^14 + x^12 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(18, 0), (12, 8), (0, 18), (8, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^2 - x - 1, alpha + x^9 - x^6 - x^4 + x^3 - 1), set([(15, 3), (7, 13), (0, 18), (10, 10)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha - 5*x^7 - x^6 + 2*x^5 + 4*x^4 + 7*x^3 + 3*x^2 + 5*x + 4), set([(8, 10), (5, 17), (0, 18), (7, 15)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha - 10*x^13 - 6*x^12 - x^11 - 9*x^10 - 7*x^9 - 3*x^8 + 3*x^7 + 7*x^5 + 9*x^4 + 11*x^3 + 2*x^2 + 12*x + 7), set([(3, 16), (9, 10), (0, 18), (11, 7)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^12 - x^7 - x^6), set([(9, 13), (0, 18), (15, 3), (10, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - x^4 + x^3 + 2*x^2 - 2*x), set([(10, 8), (9, 15), (0, 18), (7, 17)]))
('Cluster size', 4, (x^6 - x - 1, alpha - 17*x^8 - 4*x^7 - 14*x^6 - 6*x^5 + 5*x^4 + 13*x^3 + 24*x^2 + 16*x + 21), set([(7, 11), (0, 18), (2, 17), (6, 13)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^14 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 + x), set([(17, 1), (5, 15), (0, 18), (14, 6)]))
('Cluster size', 4, (x^15 - x^13 + x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha - 1), set([(18, 0), (17, 7), (0, 18), (7, 17)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^6 - x), set([(5, 14), (14, 4), (0, 18), (10, 9)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha + 3*x^9 - 3*x^8 - 3*x^7 + 4*x^6 - 3*x^5 + x^4 + x^3 - 2*x^2 - x + 3), set([(11, 7), (0, 18), (5, 16), (9, 12)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha + 2*x^14 + 2*x^13 + 2*x^12 + x^10 - x^7 - x^6 - 2*x^5 - 2*x^4 - 3*x^3 - x^2), set([(9, 10), (4, 15), (0, 18), (12, 6)]))
('Cluster size', 4, (x^14 - x^12 + x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha - x^13 + x^11 - x^10 + x^8 - x^7 + x^5 - x^4 + x^2), set([(15, 6), (0, 18), (5, 16), (17, 1)]))
('Cluster size', 4, (x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^8), set([(14, 4), (12, 17), (0, 18), (13, 16)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 6), (18, 0), (0, 18), (6, 13)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha - 2*x^15 - x^14 - x^12 - x^11 - x^10 + x^8 + x^6 + x^5 + 2*x^4 + 2*x^3 + x^2 + 2*x + 1), set([(13, 5), (11, 9), (0, 18), (4, 16)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - x^2), set([(11, 12), (7, 16), (0, 18), (13, 5)]))
('Cluster size', 4, (x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^4), set([(8, 17), (14, 4), (13, 12), (0, 18)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - 4*x^9 - x^8 - x^7 - 2*x^6 + 2*x^5 + 4*x^4 + 4*x^3 + 6*x^2 + 5*x), set([(7, 13), (3, 17), (0, 18), (8, 10)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^11 - x^10 + x^7 + x^6 + 3*x^5 + 3*x^4 + 3*x^3 + 3*x^2), set([(5, 17), (10, 8), (0, 18), (9, 13)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha + x^6 - x^4 + x^2 - 2), set([(10, 8), (8, 12), (0, 18), (4, 16)]))
('Cluster size', 4, (x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 3*alpha + 2*x^17 + 6*x^16 + 5*x^15 + 3*x^14 + 2*x^13 + 3*x^12 - 3*x^10 - 2*x^9 - 6*x^8 - 7*x^7 - 9*x^6 - 9*x^5 - 12*x^4 - 9*x^3 - 7*x^2 - 3*x - 2), set([(13, 10), (7, 16), (0, 18), (15, 3)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^3 - x^2), set([(9, 14), (0, 18), (8, 15), (12, 6)]))
('Cluster size', 4, (x^17 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (5, 17), (0, 18), (17, 5)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^4 - x^2 - 1), set([(9, 14), (7, 16), (0, 18), (11, 7)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha + x^10 + x^8 - x^5 - x^3 - x - 1), set([(10, 11), (6, 15), (0, 18), (13, 5)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^6 - x^4), set([(7, 12), (9, 10), (0, 18), (15, 3)]))
('Cluster size', 4, (x^16 + x^15 - x^2 - x - 1, alpha - x^15 - x^14 + x + 1), set([(3, 16), (15, 4), (0, 18), (17, 1)]))
('Cluster size', 4, (x^14 - x^3 - 1, alpha - x^13 + x^2), set([(14, 7), (6, 15), (0, 18), (17, 1)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 - x^10 + x^7 + x^5 + x^3 + x), set([(17, 1), (11, 11), (0, 18), (10, 12)]))
('Cluster size', 4, (x^13 - x - 1, alpha + 2*x^22 + 2*x^20 + x^19 + 2*x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^11 - x^10 - 3*x^9 - 2*x^8 - 3*x^7 - 3*x^6 - 3*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(13, 6), (14, 4), (0, 18), (2, 17)]))
('Cluster size', 4, (x^17 - x - 1, alpha - 1), set([(17, 2), (18, 0), (0, 18), (2, 17)]))
('Cluster size', 4, (x^9 - x^7 + x^5 - x^4 - x^3 + x^2 - 1, alpha + x^11 + x^10 - x^7 - x^6 - x^5 - x^3 - 1), set([(14, 4), (11, 13), (0, 18), (9, 15)]))
('Cluster size', 4, (x^11 - x^10 + x^6 - x^5 - 1, alpha - x^9 + x^8 - x^4 + x^3), set([(6, 17), (15, 8), (0, 18), (16, 2)]))
('Cluster size', 4, (x^11 - x^6 - 1, alpha - x^10 + x^5), set([(17, 1), (12, 12), (0, 18), (11, 13)]))
('Cluster size', 4, (x^15 - x^14 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 + x^13 + x^11 + x^9 + x^7 + x^5 + x^3 + x), set([(17, 1), (16, 16), (0, 18), (15, 17)]))
('Cluster size', 4, (x^11 - x^9 - x^8 + x^7 + x^6 - x^5 - x^4 + x^2 - 1, alpha - 1), set([(18, 0), (13, 15), (15, 13), (0, 18)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^2 + x - 1, alpha - x^12 + x^11 - x^9 + x^8 - x^6 + x^5 + x - 1), set([(17, 1), (8, 16), (0, 18), (15, 9)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x^3), set([(8, 17), (12, 13), (0, 18), (13, 5)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha + x^4 - x - 1), set([(8, 14), (0, 18), (11, 7), (7, 15)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(8, 11), (0, 18), (10, 9), (17, 1)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (11, 17), (0, 18), (17, 11)]))
('Cluster size', 4, (x^17 + x^16 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(11, 16), (18, 0), (16, 11), (0, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (11, 15), (0, 18), (15, 11)]))
('Cluster size', 4, (x^15 + x^14 - x^12 + x^10 - x^8 + x^6 - x^4 - x - 1, alpha - 1), set([(18, 0), (5, 15), (15, 5), (0, 18)]))
('Cluster size', 4, (x^3 - x - 1, alpha - 4*x^2 + 7), set([(3, 16), (0, 18), (2, 17), (4, 14)]))
('Cluster size', 4, (x^14 - x^9 - x^6 - x^3 - 1, alpha - x^13 + x^8 + x^5 + x^2), set([(12, 15), (0, 18), (14, 13), (17, 1)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 6*x^8 - x^7 + x^6 + 5*x^5 + 7*x^4 + 6*x^3 + 7*x^2 + 7*x + 8), set([(6, 17), (0, 18), (8, 15), (9, 9)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - 3*x^16 + x^15 - 2*x^13 + x^11 - 2*x^10 + 3*x^8 + 2*x^6 + 4*x^5 + 2*x^4 + x^3 + 3*x^2 + x + 1), set([(12, 9), (4, 17), (0, 18), (13, 5)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 4*x^5 - 2*x^3 - x^2 - 6*x - 2), set([(6, 12), (3, 17), (0, 18), (5, 15)]))
('Cluster size', 4, (x^16 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 17), (0, 18), (16, 15), (17, 1)]))
('Cluster size', 4, (x^14 - x^6 - x^4 - x^2 - 1, alpha - x^12 + x^4 + x^2 + 1), set([(14, 10), (8, 16), (0, 18), (16, 2)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha - 2*x^11 + x^8 + x^6 + 2*x^4 - x^3 + 2*x^2 + 2), set([(13, 5), (8, 16), (0, 18), (11, 13)]))
('Cluster size', 4, (x^13 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - 1), set([(14, 4), (4, 17), (0, 18), (13, 8)]))
('Cluster size', 4, (x^17 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(8, 17), (18, 0), (17, 8), (0, 18)]))
('Cluster size', 4, (x^11 + x^10 - x^8 + x^6 - x^4 - x - 1, 2*alpha + 2*x^15 + 3*x^14 + 4*x^13 + 2*x^12 + x^11 + 2*x^10 - 2*x^7 - 2*x^6 - 3*x^5 - 4*x^4 - 4*x^3 - 4*x^2 - 4*x - 1), set([(14, 4), (5, 15), (0, 18), (11, 9)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha + x^6 - x^4 - x^2), set([(8, 16), (0, 18), (10, 14), (12, 6)]))
('Cluster size', 4, (x^15 - x^2 - 1, alpha - x^14 + x), set([(17, 1), (15, 5), (0, 18), (4, 16)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^2 - x), set([(7, 14), (8, 13), (0, 18), (12, 6)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^7 - 2*x^5 - x^4 - x^3 - x^2 - x), set([(12, 6), (11, 13), (0, 18), (7, 17)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 14), (0, 18), (13, 8), (17, 1)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha + x^6 - x^4 - x), set([(10, 13), (7, 16), (0, 18), (12, 6)]))
('Cluster size', 4, (x^16 + x^15 + x^14 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(14, 9), (0, 18), (8, 15), (17, 1)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha + 3*x^10 - 2*x^9 - x^7 - 3*x^5 - 2*x^4 - 3*x - 1), set([(13, 5), (0, 18), (12, 14), (9, 17)]))
('Cluster size', 4, (x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^15 - x^14 - x^12 + x^10 + x^8 + x^7 + 2*x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + 1), set([(14, 4), (7, 16), (0, 18), (12, 11)]))
('Cluster size', 4, (x^17 + x^16 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (7, 16), (0, 18), (16, 7)]))
('Cluster size', 4, (x^11 - x - 1, alpha + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 - 1), set([(11, 8), (0, 18), (2, 17), (12, 6)]))
('Cluster size', 4, (x^13 - x^4 - x^3 - x^2 - x - 1, alpha - x^19 - 2*x^18 - x^16 - x^15 - x^14 - x^13 + 2*x^10 + 2*x^9 + 3*x^8 + 4*x^7 + 5*x^6 + 5*x^5 + 4*x^4 + 4*x^3 + 3*x^2 + x + 1), set([(5, 17), (14, 4), (0, 18), (13, 9)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(5, 14), (18, 0), (0, 18), (14, 5)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 - x^7 + 2*x^6 - 2*x^5 - 2*x^4 - x^3 - 4*x + 3), set([(3, 16), (7, 12), (0, 18), (9, 9)]))
('Cluster size', 4, (x^11 - x^8 - x^4 - 1, alpha - x^8 + x^5 + x), set([(11, 15), (0, 18), (15, 3), (12, 14)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^4), set([(11, 16), (0, 18), (10, 17), (12, 6)]))
('Cluster size', 4, (x^12 - x^3 - 1, alpha - 2*x^12 - x^9 + 2*x^3 + 3), set([(12, 9), (6, 15), (0, 18), (15, 3)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha + x^12 + x^11 - x^9 + x^8 - x^6 - x^5 - x^3 - x^2 - x + 1), set([(11, 7), (9, 11), (0, 18), (4, 16)]))
('Cluster size', 4, (x^13 - x^3 - 1, alpha - x^17 - x^16 - x^15 - x^14 - x^13 - x^11 + x^7 + x^6 + x^5 + 2*x^4 + 2*x^3 + x^2 + 2*x + 1), set([(6, 15), (0, 18), (13, 8), (16, 2)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^4 - x^3), set([(7, 12), (14, 4), (8, 11), (0, 18)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^8 - x^3 - x^2), set([(13, 5), (7, 13), (0, 18), (8, 12)]))
('Cluster size', 4, (x^13 - x^10 + x^8 - x^5 - 1, alpha - 1), set([(18, 0), (15, 8), (0, 18), (8, 15)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^3 - x), set([(8, 11), (0, 18), (6, 13), (13, 5)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(13, 14), (18, 0), (0, 18), (14, 13)]))
('Cluster size', 4, (x^16 - x^2 - 1, alpha - 1), set([(18, 0), (16, 4), (0, 18), (4, 16)]))
('Cluster size', 4, (x^16 + x^15 + x^14 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 + x^2 + x + 1), set([(4, 15), (0, 18), (14, 5), (17, 1)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^14 + x^13 - x^12 - x^11 - x^8 + 2*x^7 - x^6 + x^5 + x^4 + x^3 + x^2 + 2*x), set([(11, 7), (3, 17), (0, 18), (10, 10)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^11 - x^9), set([(16, 2), (11, 15), (0, 18), (13, 13)]))
('Cluster size', 4, (x^15 + x^14 - x^2 - x - 1, alpha + x^14 - x^12 - x), set([(3, 16), (0, 18), (14, 5), (16, 2)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(7, 12), (11, 8), (0, 18), (17, 1)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^6 + 2*x^5 + x^4 - 2*x^3 - x^2), set([(6, 17), (7, 16), (0, 18), (8, 10)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha + 8*x^2 - 9*x - 4), set([(3, 17), (5, 13), (0, 18), (4, 16)]))
('Cluster size', 4, (x^9 - x^7 - 1, alpha - x^11 - x^10 + x^8 + x^5 + x^2 + x + 1), set([(14, 11), (9, 16), (0, 18), (16, 2)]))
('Cluster size', 4, (x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^13 - x^7), set([(16, 2), (15, 11), (0, 18), (9, 17)]))
('Cluster size', 4, (x^10 - x^8 - x^4 - 1, alpha - x^6 + x^4 + 1), set([(10, 16), (14, 4), (0, 18), (12, 14)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^4 - x^3 - x^2), set([(10, 16), (0, 18), (11, 7), (9, 17)]))
('Cluster size', 4, (x^14 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^9), set([(14, 15), (12, 17), (0, 18), (15, 3)]))
('Cluster size', 4, (x^14 + x^13 - x^2 - x - 1, 5*alpha + 4*x^21 + 10*x^20 + 4*x^19 + 5*x^18 + 9*x^17 + 5*x^16 + 4*x^15 + 5*x^14 + 4*x^13 + 5*x^12 - 5*x^10 - 4*x^9 - 10*x^8 - 8*x^7 - 11*x^6 - 7*x^5 - 12*x^4 - 6*x^3 - 8*x^2 - 5*x - 9), set([(3, 16), (13, 6), (0, 18), (15, 3)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 10), (9, 14), (0, 18), (17, 1)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^3 - x^2), set([(15, 3), (11, 9), (0, 18), (6, 14)]))
('Cluster size', 4, (x^14 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^11 - x^7), set([(14, 13), (15, 3), (0, 18), (10, 17)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha - 2*x^14 - x^12 - 2*x^10 + x^8 + x^7 + 2*x^6 + 3*x^5 + 4*x^4 + 2*x^3 + 3*x^2 + x + 2), set([(10, 11), (4, 17), (0, 18), (11, 7)]))
('Cluster size', 4, (x^14 + x^11 - x^9 + x^8 - x^6 - x^3 - 1, alpha - x^13 - x^10 + x^8 - x^7 + x^5 + x^2), set([(12, 9), (8, 13), (0, 18), (17, 1)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^9 - x^7), set([(10, 15), (12, 13), (0, 18), (15, 3)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha + x^12 + 2*x^11 + x^10 + x^9 + 2*x^8 - x^6 - 2*x^4 - 3*x^3 - x^2 - 2*x - 2), set([(3, 16), (10, 8), (8, 11), (0, 18)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 + x^10 + x^9 - x^5 - x^4 - 2*x^3 - x^2 - 2*x - 1), set([(9, 13), (12, 6), (0, 18), (7, 15)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^10 - x^9), set([(12, 13), (0, 18), (11, 14), (16, 2)]))
('Cluster size', 4, (x^17 - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 17), (18, 0), (17, 16), (0, 18)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^2 - x - 1), set([(8, 17), (10, 8), (9, 16), (0, 18)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - 4*x^8 - x^7 + x^4 + 4*x^3 + x^2 - x + 4), set([(8, 13), (6, 15), (0, 18), (11, 7)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^6 + x^5 - x^3 - 2*x^2 - x + 1), set([(5, 15), (9, 9), (0, 18), (6, 14)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - 1), set([(11, 10), (0, 18), (5, 16), (13, 5)]))
('Cluster size', 4, (x^14 + x^12 + x^10 - x^6 - x^4 - x^2 - 1, alpha - x^12 - x^10 - x^8 + x^4 + x^2 + 1), set([(16, 2), (10, 10), (0, 18), (8, 12)]))
('Cluster size', 4, (x^5 - x - 1, alpha - 2*x^6 + 2*x^5 - 3*x^4 + 4*x^3 - 2*x^2 + 3*x - 1), set([(5, 14), (6, 12), (0, 18), (2, 17)]))
('Cluster size', 4, (x^8 - x - 1, alpha - 2*x^9 - x^8 - 2*x^7 + x^6 - x^5 + x^4 - x^3 + 3*x^2 + 2*x + 4), set([(8, 11), (0, 18), (2, 17), (9, 9)]))
('Cluster size', 4, (x^16 + x^15 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(15, 14), (0, 18), (13, 16), (17, 1)]))
('Cluster size', 4, (x^17 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(17, 10), (18, 0), (0, 18), (10, 17)]))
('Cluster size', 4, (x^13 - x^5 - 1, alpha - 1), set([(18, 0), (10, 13), (13, 10), (0, 18)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, 4*alpha + 3*x^17 - 4*x^16 - x^15 + 4*x^14 - x^13 + 3*x^11 - 4*x^9 + 4*x^8 - 3*x^7 - 2*x^5 + 3*x^4 - 5*x^3 + 2*x^2 - 4*x + 1), set([(3, 16), (11, 8), (0, 18), (13, 5)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^8 - x^4), set([(15, 3), (7, 14), (0, 18), (11, 10)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha + 4*x^13 + 2*x^12 + x^11 + 4*x^10 + 2*x^9 + x^8 - x^7 - 4*x^6 - 5*x^5 - 8*x^4 - 7*x^3 - 6*x^2 - 8*x - 2), set([(9, 11), (3, 17), (0, 18), (10, 8)]))
('Cluster size', 4, (x^9 - x - 1, alpha + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x - 1), set([(9, 10), (10, 8), (0, 18), (2, 17)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + x^6 - x^5 - x^4 - x^3 + x^2 + 2), set([(7, 15), (9, 9), (0, 18), (6, 16)]))
('Cluster size', 4, (x^17 + x^16 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (15, 16), (0, 18), (16, 15)]))
('Cluster size', 4, (x^15 + x^14 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^12 - x^9), set([(11, 16), (0, 18), (14, 13), (16, 2)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (8, 13), (0, 18), (13, 8)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha + x^12 - 2*x^11 + x^10 - 2*x^9 + x^8 - x^5 + x^4 - x^3 + 2*x^2 - 2*x + 2), set([(13, 5), (9, 11), (0, 18), (6, 14)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^6 - x^4 - x^2 - 1, alpha + x^12 - x^6 - x^5), set([(15, 3), (9, 11), (0, 18), (8, 12)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^8 - x^5 - x^2), set([(10, 12), (13, 5), (0, 18), (7, 15)]))
('Cluster size', 4, (x^10 - x^8 + x^6 - x^4 - 1, alpha - x^6 + x^4 - x^2 + 1), set([(12, 10), (14, 4), (0, 18), (6, 16)]))
('Cluster size', 4, (x^10 - x^6 - 1, alpha - x^8 + x^4), set([(12, 12), (10, 14), (0, 18), (16, 2)]))
('Cluster size', 4, (x^10 - x^7 - 1, alpha - x^9 + x^6), set([(10, 15), (14, 11), (0, 18), (17, 1)]))
('Cluster size', 4, (x^16 + x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(9, 16), (0, 18), (15, 10), (17, 1)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(12, 13), (18, 0), (13, 12), (0, 18)]))
('Cluster size', 4, (x^12 - x^2 - 1, alpha + x^10 - x^8 - 1), set([(14, 4), (12, 8), (0, 18), (4, 16)]))
('Cluster size', 4, (x^16 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(18, 0), (16, 12), (0, 18), (12, 16)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 + x^6 + x^2 + x + 1), set([(9, 11), (5, 15), (0, 18), (12, 6)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (9, 13), (0, 18), (13, 9)]))
('Cluster size', 4, (x^16 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 + x^4 + x^3 + x^2 + x + 1), set([(6, 17), (0, 18), (16, 7), (17, 1)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^6 - x^4), set([(9, 16), (0, 18), (11, 14), (13, 5)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^2), set([(14, 12), (0, 18), (15, 3), (9, 17)]))
('Cluster size', 4, (x^15 - x^4 - x^2 - 1, alpha - x^14 + x^3 + x), set([(15, 7), (17, 1), (0, 18), (6, 16)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha + 2*x^16 + 2*x^15 + x^14 + 2*x^12 + x^11 + x^10 - x^9 - 2*x^8 - 4*x^7 - 4*x^6 - 6*x^5 - 5*x^4 - 4*x^3 - 4*x^2 - 3*x - 1), set([(11, 10), (4, 17), (0, 18), (12, 6)]))
('Cluster size', 4, (x^11 - x^9 - x^6 - x^3 - 1, alpha + x^10 - x^8 - x^7), set([(11, 16), (14, 4), (12, 15), (0, 18)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^7 - x^4), set([(14, 4), (11, 12), (0, 18), (8, 15)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha - 2*x^17 - x^15 - 2*x^14 - x^12 - x^11 + x^9 + x^8 + 2*x^7 + 4*x^6 + 2*x^5 + 3*x^4 + 3*x^3 + 2*x^2 + 2*x), set([(3, 17), (0, 18), (11, 9), (12, 6)]))
('Cluster size', 4, (x^15 + x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 + x^11 + x^9 + x^7 + x^5 + x^3 + x), set([(17, 1), (13, 15), (0, 18), (14, 14)]))
('Cluster size', 4, (x^8 - x^6 - 1, alpha + 2*x^8 - 2*x^6 - x^4 + x^2 - 2), set([(12, 12), (14, 4), (8, 16), (0, 18)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 + x^5 + x^4 - x^2 - x - 1, alpha + x^20 + 2*x^19 + x^18 + x^17 + x^16 + 2*x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - 2*x^8 - 2*x^7 - 3*x^6 - 2*x^5 - 3*x^4 - 2*x^3 - 3*x^2 - 2*x - 1), set([(15, 3), (13, 7), (0, 18), (4, 16)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha + x^4 + 3*x^3 - 2*x^2 - 5*x - 4), set([(6, 12), (4, 17), (0, 18), (5, 16)]))
('Cluster size', 4, (x^17 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (13, 17), (0, 18), (17, 13)]))
('Cluster size', 4, (x^10 - x - 1, alpha - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 1), set([(11, 7), (0, 18), (2, 17), (10, 9)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - x^6 - x^2 + x + 1), set([(12, 10), (0, 18), (15, 3), (7, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^8 - x^6), set([(11, 12), (9, 14), (0, 18), (15, 3)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha - x^2 + x), set([(13, 5), (12, 12), (0, 18), (7, 17)]))
('Cluster size', 4, (x^14 + x^11 - x^6 - x^3 - 1, alpha - x^13 - x^10 + x^5 + x^2), set([(11, 10), (0, 18), (9, 12), (17, 1)]))
('Cluster size', 4, (x^16 - x - 1, alpha - x^15 + 1), set([(16, 3), (0, 18), (2, 17), (17, 1)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha - 5*x^10 - 5*x^9 - 7*x^8 - 2*x^7 + 5*x^5 + 11*x^4 + 16*x^3 + 19*x^2 + 14*x + 10), set([(8, 13), (4, 17), (0, 18), (9, 9)]))
('Cluster size', 4, (x^12 - x^10 + x^7 - x^5 - 1, alpha - x^11 + x^9 - x^6 + x^4), set([(15, 8), (7, 16), (0, 18), (17, 1)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^10 - x^7), set([(9, 14), (0, 18), (12, 11), (16, 2)]))
('Cluster size', 4, (x^14 - x^3 - x^2 - x - 1, alpha - x^22 + x^21 + x^17 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x), set([(14, 7), (4, 17), (0, 18), (15, 3)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (7, 14), (14, 7), (0, 18)]))
('Cluster size', 4, (x^14 - x^2 - 1, alpha - x^12 + 1), set([(16, 2), (14, 6), (0, 18), (4, 16)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^2), set([(15, 3), (8, 16), (0, 18), (13, 11)]))
('Cluster size', 4, (x^15 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^13 - x^10), set([(15, 14), (12, 17), (0, 18), (16, 2)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 - x^11 + x^4 + x^3 + x^2 + x + 1), set([(12, 7), (0, 18), (6, 13), (17, 1)]))
('Cluster size', 4, (x^16 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(16, 11), (0, 18), (10, 17), (17, 1)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 + x^11 - x^10 + x^9 + x^7 + x^5 + x^3 + x), set([(11, 15), (17, 1), (0, 18), (14, 12)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha + x^8 - x^4 - x^3), set([(8, 14), (13, 5), (0, 18), (9, 13)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha + x^9 - x^7 - x^6 + x^3 - 1), set([(10, 16), (0, 18), (15, 3), (13, 13)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 + x^5 + x^4 + x^3 + 2*x^2 + x), set([(10, 8), (7, 16), (0, 18), (8, 15)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^4 - 1), set([(5, 14), (9, 10), (0, 18), (13, 5)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 - x^6 - x^3 - 1, alpha - x^11 + x^10 - x^8 + x^7 + x^4 + x), set([(15, 12), (0, 18), (10, 17), (16, 2)]))
('Cluster size', 4, (x^15 + x^12 - x^6 - x^3 - 1, alpha - 1), set([(18, 0), (12, 9), (0, 18), (9, 12)]))
('Cluster size', 4, (x^11 - x^7 - 1, alpha - 1), set([(14, 11), (18, 0), (0, 18), (11, 14)]))
('Cluster size', 4, (x^16 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(18, 0), (8, 16), (16, 8), (0, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(10, 15), (18, 0), (0, 18), (15, 10)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha + x^8 - x^7 - x^5), set([(12, 15), (0, 18), (10, 17), (13, 5)]))
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^18 - 2*x^17 + 2*x^16 - x^15 + x^14 + x^12 - x^11 + x^10 - 2*x^9 + 2*x^8 - 2*x^7 + x^6 - x^5 - 2*x^3 - 2*x + 1), set([(13, 5), (3, 17), (0, 18), (12, 8)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha - x^3 + 1), set([(10, 13), (0, 18), (8, 15), (13, 5)]))
('Cluster size', 4, (x^13 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^12 - x^10 - x^9), set([(15, 3), (13, 15), (0, 18), (12, 16)]))
('Cluster size', 4, (x^11 + x^8 - x^6 - x^3 - 1, alpha + x^10 - x^5 - x^4), set([(14, 4), (8, 13), (0, 18), (9, 12)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^8 - x^7 - x^6), set([(13, 5), (11, 17), (0, 18), (12, 16)]))
('Cluster size', 4, (x^15 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^13 - x^3), set([(16, 2), (5, 17), (0, 18), (15, 7)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^3 - x^2 - x - 1, alpha - 2*x^20 - 2*x^19 - 2*x^18 - x^17 - 2*x^16 - 2*x^15 - 2*x^14 - x^13 + x^9 + 2*x^8 + 2*x^7 + 3*x^6 + 2*x^5 + 2*x^4 + 3*x^3 + 2*x^2 + 1), set([(12, 7), (15, 3), (4, 15), (0, 18)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^3 - x^2 - x - 1, alpha - x^17 - x^16 - x^15 - x^13 - x^12 - x^11 + x^10 + x^6 + x^5 + x^4 + x^3 + x^2 + x), set([(11, 8), (14, 4), (4, 15), (0, 18)]))
('Cluster size', 4, (x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 2*alpha + x^15 + 4*x^14 + 3*x^13 + 2*x^12 - 2*x^10 - x^9 - 4*x^8 - 4*x^7 - 6*x^6 - 4*x^5 - 4*x^4 - 4*x^3 - 4*x^2 - 4*x - 3), set([(15, 3), (9, 16), (13, 12), (0, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (11, 10), (10, 11), (0, 18)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha - 9*x^8 - 22*x^7 - 17*x^6 - 3*x^5 + 3*x^4 + 9*x^3 + 20*x^2 + 27*x + 16), set([(3, 16), (0, 18), (6, 13), (8, 10)]))
('Cluster size', 4, (x^9 - x^6 - 1, alpha - x^6 + x^3), set([(15, 3), (12, 12), (0, 18), (9, 15)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 + x^7 - x^4 - 2*x^3), set([(5, 14), (10, 8), (0, 18), (6, 13)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (15, 7), (0, 18), (7, 15)]))
('Cluster size', 4, (x^14 - x^12 - x^8 - x^4 - 1, alpha - 1), set([(18, 0), (16, 14), (0, 18), (14, 16)]))
('Cluster size', 4, (x^14 - x^8 - x^4 - 1, alpha - 1), set([(18, 0), (14, 12), (0, 18), (12, 14)]))
('Cluster size', 4, (x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^9 - x^6), set([(13, 14), (14, 4), (0, 18), (10, 17)]))
('Cluster size', 4, (x^13 - x^4 - 1, alpha - x^12 + x^3), set([(8, 14), (17, 1), (0, 18), (13, 9)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^7 - x^5 + 2*x^4 - x^3 + x^2 - x + 1), set([(11, 7), (5, 15), (0, 18), (8, 12)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^9 - x^6), set([(11, 10), (8, 13), (0, 18), (16, 2)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha - x^7 - x^5 + x^4 - x^3 + x^2 - x + 2), set([(4, 15), (0, 18), (6, 13), (9, 9)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^10 - x^3), set([(5, 14), (12, 7), (0, 18), (16, 2)]))
('Cluster size', 4, (x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^18 + x^17 + x^16 + x^15 + x^13 + x^11 - x^10 - 2*x^8 - 2*x^6 - x^5 - 2*x^4 - 2*x^2), set([(15, 3), (5, 15), (0, 18), (12, 8)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha - x^6 + x^4 + x^3 + x^2 + x + 2), set([(8, 16), (9, 9), (0, 18), (7, 17)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha - 2*x^9 - 3*x^8 - 2*x^7 - x^6 + x^4 + 3*x^3 + 3*x^2 + 3*x + 3), set([(10, 8), (7, 13), (5, 15), (0, 18)]))
('Cluster size', 4, (x^16 - x^3 - x^2 - x - 1, alpha - x^15 + x^2 + x + 1), set([(16, 5), (4, 17), (0, 18), (17, 1)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^12 - x^11 - x^4), set([(15, 3), (14, 10), (0, 18), (7, 17)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha - 1), set([(18, 0), (8, 14), (0, 18), (14, 8)]))
('Cluster size', 4, (x^13 - x^4 - x^2 - 1, alpha + 2*x^18 + 2*x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^10 - 2*x^9 - 2*x^8 - 3*x^7 - 3*x^6 - 4*x^5 - 4*x^4 - 3*x^3 - 2*x^2 - x - 1), set([(13, 9), (0, 18), (15, 3), (6, 16)]))
('Cluster size', 4, (x^15 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(15, 12), (18, 0), (12, 15), (0, 18)]))
('Cluster size', 4, (x^17 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (6, 17), (17, 6), (0, 18)]))
('Cluster size', 4, (x^9 - x^5 - 1, alpha - x^5 + x), set([(14, 4), (10, 13), (9, 14), (0, 18)]))
('Cluster size', 4, (x^7 - x - 1, alpha - 4*x^10 - 2*x^9 - 3*x^8 - 3*x^7 - 2*x^6 + x^5 + 4*x^4 + 5*x^3 + 6*x^2 + 5*x + 6), set([(7, 12), (0, 18), (2, 17), (8, 10)]))
('Cluster size', 4, (x^14 - x^4 - x^2 - 1, alpha - x^12 + x^2 + 1), set([(14, 8), (16, 2), (0, 18), (6, 16)]))
('Cluster size', 4, (x^14 - x^12 + x^11 - x^9 - x^6 - x^3 - 1, alpha - x^13 + x^11 - x^10 + x^8 + x^5 + x^2), set([(11, 16), (15, 12), (0, 18), (17, 1)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(17, 1), (3, 17), (0, 18), (16, 4)]))
('Cluster size', 4, (x^17 + x^16 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (16, 5), (0, 18), (5, 16)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - x^4 + 2*x^2 + 2*x - 2), set([(5, 17), (7, 11), (0, 18), (6, 16)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^8 - x^6 - x^5), set([(10, 16), (13, 5), (0, 18), (11, 15)]))
('Cluster size', 4, (x^12 + x^10 - x^4 - x^2 - 1, alpha + x^10 - x^6 - x^2), set([(14, 4), (10, 10), (0, 18), (6, 14)]))
('Cluster size', 4, (x^16 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(8, 17), (16, 9), (0, 18), (17, 1)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^3 - x^2 - x - 1, alpha - 1), set([(15, 4), (18, 0), (4, 15), (0, 18)]))
('Cluster size', 4, (x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^16 + x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2), set([(14, 4), (6, 17), (13, 10), (0, 18)]))
('Cluster size', 4, (x^15 + x^14 + x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha - 1), set([(18, 0), (13, 11), (0, 18), (11, 13)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^11 - x^5), set([(16, 2), (13, 9), (0, 18), (7, 15)]))
('Cluster size', 4, (x^8 - x^7 - 1, alpha - x^5 + x^4), set([(8, 17), (14, 11), (0, 18), (15, 3)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x - 1), set([(7, 12), (0, 18), (6, 13), (12, 6)]))
('Cluster size', 4, (x^17 + x^16 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(16, 9), (18, 0), (9, 16), (0, 18)]))
('Cluster size', 4, (x^15 - x^3 - 1, alpha - 1), set([(18, 0), (15, 6), (6, 15), (0, 18)]))
('Cluster size', 4, (x^13 + x^9 - x^8 - x^4 - 1, alpha - x^12 - x^8 + x^7 + x^3), set([(9, 13), (17, 1), (0, 18), (12, 10)]))
('Cluster size', 4, (x^11 - x^3 - 1, alpha + x^14 + x^13 + 2*x^12 + 2*x^11 + x^10 - x^7 - x^6 - x^5 - 2*x^4 - 3*x^3 - 2*x^2 - 2*x - 2), set([(14, 4), (11, 10), (6, 15), (0, 18)]))
('Cluster size', 4, (x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^12 - x^8 - x^7), set([(15, 3), (10, 14), (0, 18), (11, 13)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - x^14 - x^13 - x^12 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 12), (0, 18), (11, 14), (17, 1)]))
('Cluster size', 4, (x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^8 - x^5), set([(12, 13), (14, 4), (9, 16), (0, 18)]))
('Cluster size', 4, (x^14 - x - 1, alpha - 2*x^24 - x^22 - x^20 - x^19 - x^18 - x^17 - x^16 - x^15 - x^14 - x^13 + x^12 + x^11 + 2*x^10 + x^9 + x^8 + x^7 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x + 2), set([(15, 3), (0, 18), (2, 17), (14, 5)]))
('Cluster size', 4, (x^14 - x^12 + x^10 - x^8 + x^6 - x^4 - 1, alpha - 1), set([(18, 0), (16, 6), (0, 18), (6, 16)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - x^11 + x^10 - x^8 + x^7 - x^5 + x^4 + x), set([(16, 2), (15, 9), (0, 18), (7, 17)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha + 2*x^5 + 3*x^4 - 2*x^3 - x^2 - 4), set([(3, 16), (5, 14), (0, 18), (7, 11)]))
('Cluster size', 4, (x^15 + x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 - x^10 - x^8 + x^7 + x^5 + x^3 + x), set([(17, 1), (9, 11), (0, 18), (10, 10)]))
('Cluster size', 4, (x^11 - x^5 - 1, alpha - x^9 + x^3), set([(10, 13), (11, 12), (0, 18), (16, 2)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - 2*x^14 - x^13 + x^11 + x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^2 - 1), set([(14, 4), (11, 11), (0, 18), (7, 15)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(17, 1), (7, 13), (0, 18), (12, 8)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^8 - x^5 - 1), set([(13, 5), (5, 15), (0, 18), (10, 10)]))
('Cluster size', 4, (x^15 + x^14 + x^11 + x^10 - x^8 - x^5 - x^4 - x - 1, alpha - 1), set([(18, 0), (9, 11), (0, 18), (11, 9)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 2*x^8 + x^5 + x^4 + 2*x^3 + 3*x^2), set([(7, 14), (4, 17), (0, 18), (8, 10)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^7 - x^6), set([(9, 10), (8, 11), (0, 18), (16, 2)]))
('Cluster size', 4, (x^11 + x^10 + x^7 - x^5 - x^4 - x - 1, alpha + x^10 - x^5 - x^3), set([(9, 11), (7, 13), (0, 18), (14, 4)]))
('Cluster size', 4, (x^12 - x - 1, alpha - 2*x^20 - 2*x^18 - x^16 - x^14 - x^13 - x^12 - x^11 + x^10 + x^9 + 3*x^8 + x^7 + 2*x^6 + x^5 + x^4 + x^3 + 2*x^2 + 2*x + 2), set([(12, 7), (0, 18), (2, 17), (13, 5)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, 3*alpha + 4*x^17 + 6*x^16 + 8*x^15 + 9*x^14 + 5*x^13 + 6*x^12 + x^11 - 3*x^8 - 4*x^7 - 6*x^6 - 8*x^5 - 9*x^4 - 9*x^3 - 8*x^2 - 3*x - 1), set([(5, 14), (11, 8), (0, 18), (15, 3)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 + x^6 - x^5 + x^3 + x^2 + x + 1), set([(5, 17), (12, 6), (0, 18), (11, 11)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha - 3*x^3 - x^2 + 2*x + 4), set([(7, 11), (5, 15), (0, 18), (4, 16)]))
('Cluster size', 4, (x^13 + x^10 - x^6 - x^3 - 1, alpha - x^11 - x^8 + x^4 + x), set([(10, 11), (0, 18), (9, 12), (16, 2)]))
('Cluster size', 4, (x^15 + x^14 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^12 - x^11), set([(14, 15), (0, 18), (13, 16), (16, 2)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^9 - x^7), set([(16, 2), (9, 13), (0, 18), (11, 11)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 11*x^6 - 13*x^5 + 15*x^4 - 19*x^3 + 10*x^2 - 18*x + 5), set([(7, 11), (3, 17), (0, 18), (6, 14)]))
('Cluster size', 4, (x^17 + x^16 - x^2 - x - 1, alpha - 1), set([(3, 16), (18, 0), (16, 3), (0, 18)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 - x^9 - x^5), set([(15, 3), (12, 11), (0, 18), (8, 15)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - 1), set([(18, 0), (15, 9), (0, 18), (9, 15)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^7 - 2*x^5 - x^4 - x^3 - 2*x^2 - x - 1), set([(8, 17), (0, 18), (11, 14), (12, 6)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha - 3*x^12 - x^11 - x^10 + 2*x^9 + x^8 + 2*x^5 + 2*x^4 + x^3 + x^2 - 4*x), set([(8, 11), (11, 7), (4, 15), (0, 18)]))
('Cluster size', 4, (x^14 + x^12 - x^4 - x^2 - 1, alpha - x^12 - x^10 + x^2 + 1), set([(16, 2), (12, 8), (0, 18), (6, 14)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^4 + 2*x^2 - 1), set([(8, 14), (10, 8), (0, 18), (6, 16)]))
('Cluster size', 4, (x^13 - x^6 - x^3 - 1, alpha - x^11 + x^4 + x), set([(16, 2), (13, 11), (0, 18), (9, 15)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha - x^7 + 2*x^6 - 2*x^5 + 2*x^4 - x^3 + x - 1), set([(11, 7), (6, 17), (10, 13), (0, 18)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha + x^14 - x^12 + x^11 + x^9 - x^8 - x^6 - 2*x^4 - x^2 - 2), set([(5, 17), (13, 5), (0, 18), (12, 10)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 + x^3 - x - 1, alpha - x^8 + x), set([(8, 14), (0, 18), (15, 3), (11, 11)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, 2*alpha - 4*x^14 - x^13 - 2*x^12 - 3*x^10 - 2*x^9 + 2*x^8 + 2*x^5 + x^4 + 2*x^3 + 4*x^2 + 3), set([(4, 15), (0, 18), (10, 9), (13, 5)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(9, 10), (18, 0), (0, 18), (10, 9)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 + x - 1), set([(17, 1), (14, 10), (0, 18), (9, 15)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(7, 12), (18, 0), (12, 7), (0, 18)]))
('Cluster size', 4, (x^15 - x^13 - x^12 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha - 1), set([(18, 0), (17, 15), (0, 18), (15, 17)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha + x^8 - x^5 - x^4), set([(13, 5), (10, 14), (0, 18), (9, 15)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (11, 12), (0, 18), (12, 11)]))
('Cluster size', 4, (x^13 - x^8 - x^4 - 1, alpha - x^12 + x^7 + x^3), set([(13, 13), (17, 1), (0, 18), (12, 14)]))
('Cluster size', 4, (x^10 - x^4 - 1, alpha - x^6 + 1), set([(8, 14), (14, 4), (0, 18), (10, 12)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 + x^7 + x^5 + x^3 + x), set([(17, 1), (11, 17), (0, 18), (16, 12)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^8 - x^7 - 2*x^5 - x^4 - 2*x^3 - x^2 - x - 1), set([(11, 15), (12, 6), (0, 18), (9, 17)]))
('Cluster size', 4, (x^16 + x^14 - x^4 - x^2 - 1, alpha - 1), set([(18, 0), (14, 6), (0, 18), (6, 14)]))
('Cluster size', 4, (x^14 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^12 + x^6 + x^4 + x^2 + 1), set([(16, 2), (10, 16), (0, 18), (14, 12)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^14 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(14, 8), (17, 1), (0, 18), (7, 15)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (15, 14), (14, 15), (0, 18)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha + x^6 - x^3 - 1), set([(6, 15), (0, 18), (9, 12), (12, 6)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 5*x^10 + 2*x^9 + x^8 - x^7 - 5*x^6 - 7*x^5 - 8*x^4 - 7*x^3 - 6*x^2 - 8*x - 2), set([(10, 8), (6, 17), (9, 14), (0, 18)]))
('Cluster size', 4, (x^4 - x - 1, alpha - 95*x^4 - 26*x^3 + 19*x^2 + 81*x + 131), set([(4, 15), (0, 18), (2, 17), (5, 13)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^9 - x^5), set([(7, 13), (0, 18), (11, 9), (16, 2)]))
('Cluster size', 4, (x^15 - x^2 - x - 1, alpha + x^14 - x^13 - x), set([(3, 17), (15, 5), (0, 18), (16, 2)]))
('Cluster size', 4, (x^15 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^14 + x^7 + x^5 + x^3 + x), set([(10, 16), (17, 1), (0, 18), (15, 11)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^16 - 2*x^15 - 3*x^14 - 3*x^13 - 2*x^12 - x^11 - x^10 + x^7 + 2*x^6 + 3*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + x + 1), set([(15, 3), (0, 18), (6, 13), (10, 9)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 + x^3 + x), set([(17, 1), (16, 8), (0, 18), (7, 17)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^8 - x^7 - x), set([(6, 17), (0, 18), (12, 11), (13, 5)]))
('Cluster size', 4, (x^13 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - x^11 - x^8 + x^7 - x^5 + x^4 + x), set([(7, 14), (12, 9), (0, 18), (16, 2)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha + x^9 - x^8 - x^6 + x^3 - 1), set([(15, 3), (11, 17), (0, 18), (14, 14)]))
('Cluster size', 4, (x^13 - x^9 - x^6 - x^3 - 1, alpha - x^11 + x^7 + x^4 + x), set([(13, 14), (12, 15), (0, 18), (16, 2)]))
('Cluster size', 4, (x^17 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (14, 17), (17, 14), (0, 18)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha - x^21 - 2*x^20 - x^18 - x^17 - x^15 - x^14 - x^13 - x^12 + 2*x^10 + 2*x^9 + 3*x^8 + 3*x^7 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 3*x^2 + 3*x + 2), set([(13, 7), (3, 17), (0, 18), (14, 4)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha - x^8 - x^6 + x^4 + x^3 + x - 1), set([(11, 7), (7, 13), (0, 18), (6, 14)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - 1), set([(18, 0), (10, 16), (0, 18), (16, 10)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + x^4 - x^3 - 2*x^2 + 2), set([(7, 13), (9, 9), (0, 18), (4, 16)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha + x^4 - 2), set([(8, 10), (6, 14), (0, 18), (4, 16)]))
('Cluster size', 4, (x^17 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(18, 0), (17, 9), (0, 18), (9, 17)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha - x^8 - x^7 - x^3 + 2*x^2 + x), set([(7, 12), (10, 8), (4, 15), (0, 18)]))
('Cluster size', 4, (x^16 + x^14 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(18, 0), (14, 10), (10, 14), (0, 18)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha + x^8 - x^4 - x^2), set([(7, 14), (0, 18), (9, 12), (13, 5)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 - x^11 - x^8), set([(10, 15), (13, 12), (0, 18), (16, 2)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^10 - x^7 - x^6), set([(10, 15), (14, 4), (0, 18), (11, 14)]))
('Cluster size', 4, (x^15 + x^13 - x^4 - x^2 - 1, alpha - x^14 - x^12 + x^3 + x), set([(17, 1), (13, 7), (0, 18), (6, 14)]))

n = 19
('Cluster size', 4, (x^7 - x^6 - x^2 + x - 1, alpha + x^3 - x - 1), set([(8, 17), (11, 8), (0, 19), (9, 16)]))
('Cluster size', 4, (x^11 - x^2 - 1, alpha + x^16 + x^15 - x^14 + x^12 - x^9 - x^6 - x^5 - x^4 - x + 1), set([(13, 6), (0, 19), (4, 17), (11, 10)]))
('Cluster size', 4, (x^15 + x^14 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^11 - x^4), set([(0, 19), (14, 10), (16, 3), (7, 17)]))
('Cluster size', 4, (x^5 - x^2 - 1, alpha + 4*x^4 - 3*x^2 - 5*x + 2), set([(7, 12), (0, 19), (4, 17), (5, 16)]))
('Cluster size', 4, (x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + 5*x^14 + 8*x^13 + 5*x^12 + 5*x^11 + 4*x^10 - x^8 - 5*x^7 - 8*x^6 - 9*x^5 - 13*x^4 - 15*x^3 - 8*x^2 - 5*x - 3), set([(12, 7), (5, 17), (0, 19), (10, 12)]))
('Cluster size', 4, (x^17 + x^15 + x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(13, 14), (19, 0), (0, 19), (14, 13)]))
('Cluster size', 4, (x^18 + x^17 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (17, 7), (7, 17)]))
('Cluster size', 4, (x^17 + x^15 - x^14 + x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (16, 13), (13, 16)]))
('Cluster size', 4, (x^14 - x - 1, alpha + x^15 + x^13 - x^12 + x^11 - x^10 - x^2 - x - 1), set([(15, 4), (0, 19), (14, 6), (2, 18)]))
('Cluster size', 4, (x^7 - x^4 - 1, alpha - x^6 + 2*x^3 - 1), set([(11, 8), (0, 19), (7, 16), (8, 15)]))
('Cluster size', 4, (x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^3 + 2*x^2 - 2*x + 1), set([(9, 10), (0, 19), (8, 13), (3, 18)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^9 - x^8), set([(11, 15), (0, 19), (16, 3), (12, 14)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - x^8 + x^5), set([(12, 7), (9, 13), (0, 19), (6, 16)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^3 - x^2 - x - 1, alpha + 2*x^13 + 2*x^12 + 2*x^11 + x^9 - x^6 - x^5 - 2*x^4 - 2*x^3 - 3*x^2 - x), set([(0, 19), (9, 11), (12, 7), (4, 16)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^10 - x^9 - x^8 - x^7 - x^6 + x^5 + x^4 + x^3 + x^2 + x), set([(0, 19), (7, 13), (12, 7), (6, 14)]))
('Cluster size', 4, (x^14 - x^2 - 1, alpha + 2*x^21 + x^19 + 2*x^17 + x^15 + x^13 - x^11 - 2*x^9 - 3*x^7 - 3*x^5 - 3*x^3 - 2*x), set([(14, 7), (0, 19), (4, 17), (16, 3)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x - 1), set([(12, 7), (8, 14), (0, 19), (7, 15)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^12 + x^4 + x), set([(14, 11), (17, 2), (0, 19), (9, 16)]))
('Cluster size', 4, (x^13 - x - 1, alpha - 2*x^22 - 2*x^20 - x^18 - x^16 - x^15 - x^14 - x^13 - x^12 + x^11 + x^10 + 3*x^9 + x^8 + 2*x^7 + x^6 + x^5 + x^4 + 2*x^3 + 2*x^2 + 2*x + 2), set([(0, 19), (13, 7), (14, 5), (2, 18)]))
('Cluster size', 4, (x^8 + x^7 + x^6 - x^3 - x^2 - x - 1, alpha + 10*x^8 + 12*x^7 + 11*x^6 + 2*x^5 - x^4 - 9*x^3 - 13*x^2 - 11*x - 13), set([(9, 10), (0, 19), (6, 14), (4, 16)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (11, 15), (0, 19), (15, 11)]))
('Cluster size', 4, (x^13 + x^9 - x^8 - x^4 - 1, alpha - x^11 - x^7 + x^6 + x^2), set([(17, 2), (0, 19), (9, 14), (12, 11)]))
('Cluster size', 4, (x^11 - x^4 - x^2 - 1, alpha + x^7 - x^5 - 1), set([(13, 6), (0, 19), (11, 12), (6, 17)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha + x^9 - x^8 - x^2), set([(0, 19), (13, 12), (7, 18), (14, 5)]))
('Cluster size', 4, (x^8 - x^3 - x^2 - x - 1, alpha + 10*x^10 + 5*x^9 + 5*x^8 + 3*x^7 - 2*x^6 - 10*x^5 - 15*x^4 - 19*x^3 - 24*x^2 - 11*x - 6), set([(9, 10), (4, 18), (0, 19), (8, 14)]))
('Cluster size', 4, (x^16 + x^15 - x^2 - x - 1, alpha + x^15 - x^13 - x), set([(17, 2), (0, 19), (3, 17), (15, 5)]))
('Cluster size', 4, (x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, alpha + x^9 - x^7 - 1), set([(5, 17), (0, 19), (14, 5), (12, 10)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 + x^5 + x^4 - x^2 - x - 1, alpha - x^20 + x^18 + x^14 + x^11 - x^5 - x^3 - x - 1), set([(15, 4), (0, 19), (4, 17), (13, 8)]))
('Cluster size', 4, (x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + 2*x), set([(0, 19), (8, 18), (10, 9), (9, 17)]))
('Cluster size', 4, (x^13 - x^5 - 1, alpha - x^12 + x^4), set([(0, 19), (10, 14), (18, 1), (13, 11)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^2 - x - 1, alpha - x^14 - x^13 - x^12 - x^10 + x^5 + x^4 + x^2 + x + 1), set([(15, 4), (0, 19), (10, 11), (7, 14)]))
('Cluster size', 4, (x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x^3), set([(13, 6), (11, 15), (0, 19), (9, 17)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha - 2*x^7 + x^4 + x^3 + 2*x^2 + 3*x), set([(8, 11), (4, 18), (0, 19), (7, 15)]))
('Cluster size', 4, (x^15 - x^3 - 1, alpha - x^14 + x^2), set([(0, 19), (6, 16), (18, 1), (15, 7)]))
('Cluster size', 4, (x^18 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (12, 18), (0, 19), (18, 12)]))
('Cluster size', 4, (x^13 - x^6 - x^3 - 1, alpha - x^10 + x^3 + 1), set([(16, 3), (0, 19), (13, 12), (9, 16)]))
('Cluster size', 4, (x^8 - x^5 - 1, alpha + x^7 - x^4 - x^2), set([(13, 6), (0, 19), (8, 16), (10, 14)]))
('Cluster size', 4, (x^7 - x^5 - 1, alpha - x^8 - x^7 + x^6 + 2*x^5 - x^3 + x), set([(0, 19), (10, 14), (12, 7), (7, 17)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (14, 10), (18, 1), (9, 15)]))
('Cluster size', 4, (x^15 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^6 + x^4 + x^2 + 1), set([(15, 12), (17, 2), (0, 19), (10, 17)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^6 - x^5), set([(10, 16), (0, 19), (14, 5), (11, 15)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^6 - x^5), set([(0, 19), (9, 11), (16, 3), (8, 12)]))
('Cluster size', 4, (x^5 - x^4 - x^3 + x^2 - 1, alpha - x^5 + x^4 + 2*x - 1), set([(0, 19), (9, 16), (7, 18), (10, 9)]))
('Cluster size', 4, (x^11 + x^9 - x^4 - x^2 - 1, alpha + x^7 - x^3 - 1), set([(13, 6), (0, 19), (6, 15), (9, 12)]))
('Cluster size', 4, (x^14 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^13 - x^11 - x^7), set([(0, 19), (16, 3), (14, 13), (10, 17)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha + x^9 - x^8 - x^6), set([(0, 19), (11, 18), (13, 16), (14, 5)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha + 3*x^9 + 4*x^8 + 3*x^7 + x^6 - x^5 - 3*x^4 - 5*x^3 - 3*x^2 - 3*x - 3), set([(0, 19), (7, 14), (5, 16), (10, 9)]))
('Cluster size', 4, (x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^4 - x^3), set([(0, 19), (11, 17), (12, 7), (10, 18)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^10 - x^8), set([(11, 16), (13, 14), (0, 19), (16, 3)]))
('Cluster size', 4, (x^17 + x^15 + x^13 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (8, 13), (13, 8)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (11, 18), (17, 12)]))
('Cluster size', 4, (x^13 - x^12 - x^6 + x^5 - x^3 + x - 1, alpha - 1), set([(19, 0), (0, 19), (15, 16), (16, 15)]))
('Cluster size', 4, (x^15 - x^4 - 1, alpha - 1), set([(19, 0), (0, 19), (15, 8), (8, 15)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (12, 9), (7, 14)]))
('Cluster size', 4, (x^11 - x^9 - x^8 + x^7 + x^6 - x^5 - x^4 + x^2 - 1, alpha - x^12 + x^9 + x^4), set([(18, 1), (0, 19), (15, 14), (13, 16)]))
('Cluster size', 4, (x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^7), set([(12, 18), (0, 19), (14, 5), (13, 17)]))
('Cluster size', 4, (x^9 - x^4 - 1, alpha + x^7 - x^3 - x^2), set([(13, 6), (0, 19), (9, 14), (8, 15)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^11 - x^5), set([(17, 2), (13, 9), (0, 19), (7, 15)]))
('Cluster size', 4, (x^9 + x^7 - x^4 - x^2 - 1, alpha - x^8 - x^7 - x^6 - x^5 + 2*x^3 + x^2 + x + 1), set([(11, 8), (0, 19), (6, 15), (7, 14)]))
('Cluster size', 4, (x^18 - x - 1, alpha - 1), set([(19, 0), (0, 19), (18, 2), (2, 18)]))
('Cluster size', 4, (x^11 - x^8 - x^4 - 1, alpha - x^7 + x^4 + 1), set([(11, 16), (15, 4), (0, 19), (12, 15)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (13, 11), (11, 13)]))
('Cluster size', 4, (x^17 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(9, 18), (17, 10), (0, 19), (18, 1)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + 3*x^12 + 2*x^11 + 2*x^9 - x^8 + x^7 - 5*x^6 - 3*x^5 - 7*x^4 - 4*x^3 - 9*x^2 - 2*x - 2), set([(11, 8), (0, 19), (5, 18), (10, 13)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (13, 7), (0, 19), (7, 13)]))
('Cluster size', 4, (x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^3), set([(0, 19), (8, 18), (14, 5), (13, 13)]))
('Cluster size', 4, (x^11 + x^10 - x^8 + x^6 - x^4 - x - 1, alpha + x^9 - x^6 - 1), set([(0, 19), (11, 10), (5, 16), (14, 5)]))
('Cluster size', 4, (x^11 - x^3 - x^2 - x - 1, alpha - x^16 + x^15 + x^14 - x^12 + x^11 + x^9 - x^6 - 2*x^4 - x^3 - x - 1), set([(12, 7), (4, 18), (0, 19), (11, 11)]))
('Cluster size', 4, (x^12 + x^11 + x^10 - x^3 - x^2 - x - 1, 2*alpha + 3*x^14 - x^13 + 2*x^12 + x^11 + 3*x^10 - 2*x^8 + 2*x^7 - 3*x^5 - x^4 - 2*x^3 - 4*x^2 + x - 3), set([(13, 6), (0, 19), (10, 10), (4, 16)]))
('Cluster size', 4, (x^17 + x^16 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (11, 17), (18, 1), (16, 12)]))
('Cluster size', 4, (x^15 + x^11 - x^8 - x^4 - 1, alpha - 1), set([(19, 0), (0, 19), (11, 12), (12, 11)]))
('Cluster size', 4, (x^16 + x^13 - x^12 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(19, 0), (0, 19), (13, 15), (15, 13)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^3 - x^2), set([(0, 19), (7, 13), (14, 5), (8, 12)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha + x^7 - x^4 - x^3), set([(10, 15), (13, 6), (0, 19), (9, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^7 - x^4), set([(0, 19), (7, 13), (16, 3), (10, 10)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 + x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 3*x^14 + 5*x^13 + 5*x^12 + 5*x^11 + 5*x^10 + 3*x^9 - 3*x^6 - 5*x^5 - 6*x^4 - 5*x^3 - 5*x^2 - 6*x - 2), set([(0, 19), (9, 11), (14, 5), (6, 14)]))
('Cluster size', 4, (x^16 + x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^13 - x^7), set([(17, 2), (15, 11), (0, 19), (9, 17)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^11 - x^3), set([(17, 2), (13, 7), (0, 19), (5, 15)]))
('Cluster size', 4, (x^11 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 + x^10 - x^9 - x^8 - x^7 - x^6 - 2*x^4 - x^3), set([(11, 12), (0, 19), (5, 18), (12, 7)]))
('Cluster size', 4, (x^12 - x^5 - 1, alpha - x^10 + x^3), set([(12, 12), (17, 2), (0, 19), (10, 14)]))
('Cluster size', 4, (x^11 + x^9 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^7 - x^2 - x), set([(13, 6), (0, 19), (8, 13), (7, 14)]))
('Cluster size', 4, (x^15 - x - 1, alpha - 2*x^26 - x^24 - x^22 - x^21 - x^20 - x^19 - x^18 - x^17 - x^16 - x^15 - x^14 + x^13 + x^12 + 2*x^11 + x^10 + x^9 + x^8 + 2*x^7 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x + 2), set([(0, 19), (15, 5), (16, 3), (2, 18)]))
('Cluster size', 4, (x^13 - x^12 - x^8 - x^4 - 1, alpha - x^11 + x^10 + x^6 + x^2), set([(17, 2), (0, 19), (13, 18), (16, 15)]))
('Cluster size', 4, (x^14 - x^8 - x^4 - 1, alpha - x^13 + x^7 + x^3), set([(18, 1), (0, 19), (12, 15), (14, 13)]))
('Cluster size', 4, (x^10 - x - 1, alpha + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1), set([(11, 8), (0, 19), (10, 10), (2, 18)]))
('Cluster size', 4, (x^14 - x^10 + x^9 - x^5 - 1, alpha - 1), set([(19, 0), (0, 19), (15, 9), (9, 15)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 + x^3 - x - 1, alpha - x^7 + 1), set([(15, 4), (0, 19), (11, 12), (8, 15)]))
('Cluster size', 4, (x^17 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (14, 18), (18, 1), (17, 15)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(10, 16), (0, 19), (18, 1), (15, 11)]))
('Cluster size', 4, (x^9 - x^8 + x^5 - x^4 - 1, alpha - x^8 + 2*x^7 - x^6 - x^4 + x^3), set([(13, 6), (0, 19), (5, 18), (12, 11)]))
('Cluster size', 4, (x^12 - x - 1, alpha + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - 1), set([(13, 6), (0, 19), (12, 8), (2, 18)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^3 - x^2), set([(12, 7), (10, 16), (0, 19), (9, 17)]))
('Cluster size', 4, (x^13 - x^9 - x^6 - x^3 - 1, alpha - x^10 + x^6 + x^3 + 1), set([(0, 19), (13, 15), (16, 3), (12, 16)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(16, 9), (19, 0), (0, 19), (9, 16)]))
('Cluster size', 4, (x^14 - x^4 - x^2 - 1, alpha + x^19 + x^13 - x^11 - x^9 - x^7 - x^5 - x^3), set([(14, 9), (0, 19), (16, 3), (6, 17)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x - 4), set([(0, 19), (3, 18), (5, 16), (6, 13)]))
('Cluster size', 4, (x^8 - x^6 - 1, alpha - x^3 + x), set([(8, 17), (12, 13), (0, 19), (14, 5)]))
('Cluster size', 4, (x^17 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(17, 14), (0, 19), (13, 18), (18, 1)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(16, 9), (17, 2), (0, 19), (7, 18)]))
('Cluster size', 4, (x^12 - x^2 - 1, alpha - x^15 + x^13 - x^11 + x^9 - x^7 + x^5), set([(12, 9), (0, 19), (4, 17), (14, 5)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 - x^6 - x^3 - 1, alpha - x^10 + x^9 - x^7 + x^6 + x^3 + 1), set([(0, 19), (15, 13), (16, 3), (10, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 + x^2 + x + 1), set([(0, 19), (15, 5), (18, 1), (4, 16)]))
('Cluster size', 4, (x^10 + x^7 - x^6 - x^3 - 1, alpha + x^7 - x^3 - x), set([(13, 6), (9, 13), (0, 19), (7, 15)]))
('Cluster size', 4, (x^11 + x^8 - x^6 - x^3 - 1, alpha + x^9 - x^4 - x^3), set([(8, 14), (0, 19), (14, 5), (9, 13)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^9 - x^5), set([(17, 2), (0, 19), (7, 13), (11, 9)]))
('Cluster size', 4, (x^11 - x^8 - 1, alpha - 1), set([(11, 16), (19, 0), (0, 19), (16, 11)]))
('Cluster size', 4, (x^8 - x^3 - 1, alpha - x^6 + x^3 + x - 1), set([(11, 8), (8, 14), (0, 19), (6, 16)]))
('Cluster size', 4, (x^15 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^6), set([(9, 18), (15, 12), (0, 19), (16, 3)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(8, 14), (0, 19), (18, 1), (13, 9)]))
('Cluster size', 4, (x^16 - x^3 - x^2 - x - 1, alpha + x^15 - x^14 - x^2), set([(17, 2), (4, 18), (0, 19), (16, 6)]))
('Cluster size', 4, (x^4 - x - 1, alpha + 131*x^4 + 36*x^3 - 26*x^2 - 112*x - 181), set([(5, 14), (0, 19), (4, 16), (2, 18)]))
('Cluster size', 4, (x^17 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (12, 17), (17, 12)]))
('Cluster size', 4, (x^15 + x^14 + x^11 + x^10 - x^8 - x^5 - x^4 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (11, 10), (9, 12)]))
('Cluster size', 4, (x^14 + x^10 - x^8 - x^4 - 1, alpha - x^13 - x^9 + x^7 + x^3), set([(18, 1), (0, 19), (10, 13), (12, 11)]))
('Cluster size', 4, (x^15 - x^2 - 1, alpha - x^13 + 1), set([(17, 2), (0, 19), (4, 17), (15, 6)]))
('Cluster size', 4, (x^10 - x^7 - 1, alpha + x^12 + x^10 - x^9 - x^8 - x^7 + x^5 - x^2 - 1), set([(17, 2), (10, 16), (0, 19), (14, 12)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - x^13 + x^12 - x^11 - x^10 - x^7 + 2*x^6 - x^5 + x^4 + x^3 + x^2 + x + 2), set([(11, 8), (0, 19), (10, 11), (3, 18)]))
('Cluster size', 4, (x^14 - x^5 - 1, alpha - 1), set([(19, 0), (0, 19), (10, 14), (14, 10)]))
('Cluster size', 4, (x^11 - x^10 + x^6 - x^5 - 1, alpha + x^17 - x^16 + x^15 + x^12 - x^11 - x^8 + x^7 - x^6 - x^5 - x^4 - 2*x^3 - x - 1), set([(0, 19), (6, 18), (16, 3), (15, 9)]))
('Cluster size', 4, (x^11 - x^9 - x^6 - x^3 - 1, alpha + x^9 - x^7 - x^6), set([(0, 19), (11, 17), (14, 5), (12, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^3 - x^2 - x - 1, alpha + x^20 + x^18 + x^17 + 2*x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - 2*x^6 - x^5 - 2*x^4 - 2*x^3 - x^2 - x - 2), set([(15, 4), (0, 19), (12, 8), (4, 16)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^7 - x^4 - x), set([(13, 6), (0, 19), (7, 16), (10, 13)]))
('Cluster size', 4, (x^10 - x^2 - 1, alpha + x^13 + x^9 - x^7 - 2*x^3 - x), set([(10, 11), (0, 19), (4, 17), (12, 7)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha - x^9 - x^7 + x^5 + x^3), set([(8, 13), (0, 19), (6, 15), (12, 7)]))
('Cluster size', 4, (x^14 + x^11 - x^6 - x^3 - 1, alpha - x^12 - x^9 + x^4 + x), set([(17, 2), (9, 13), (0, 19), (11, 11)]))
('Cluster size', 4, (x^17 - x^3 - x^2 - x - 1, alpha - x^16 + x^2 + x + 1), set([(4, 18), (0, 19), (18, 1), (17, 5)]))
('Cluster size', 4, (x^14 + x^11 - x^9 + x^8 - x^6 - x^3 - 1, alpha - x^12 - x^9 + x^7 - x^6 + x^4 + x), set([(17, 2), (8, 14), (0, 19), (12, 10)]))
('Cluster size', 4, (x^16 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^14 - x^12), set([(17, 2), (0, 19), (14, 18), (16, 16)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^11 - x^6 - x^5), set([(15, 4), (0, 19), (9, 14), (10, 13)]))
('Cluster size', 4, (x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^12 - x^11 + x^8 + 2*x^7 + 2*x^6 + 3*x^5 + x^4 + 2*x^3 + 2*x^2 + x + 1), set([(12, 7), (11, 15), (0, 19), (8, 18)]))
('Cluster size', 4, (x^12 - x^3 - 1, alpha + x^11 - x^8 - x^2), set([(15, 4), (12, 10), (0, 19), (6, 16)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (9, 11), (18, 1), (10, 10)]))
('Cluster size', 4, (x^10 + x^9 + x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 - x^7 - x^6 - x^4 + 2*x^3 + x + 1), set([(11, 8), (0, 19), (5, 15), (7, 13)]))
('Cluster size', 4, (x^10 - x^4 - 1, alpha + x^9 - x^5 - x^3), set([(0, 19), (10, 13), (8, 15), (14, 5)]))
('Cluster size', 4, (x^7 - x^4 - x^2 - 1, alpha + 2*x^6 + x^5 - x^4 - 3*x^3 - x^2 - x), set([(9, 10), (0, 19), (7, 16), (6, 17)]))
('Cluster size', 4, (x^11 + x^10 - x^2 - x - 1, alpha - x^10 - x^9 + x^8 - x^6 + x^5 - x^3 + x + 1), set([(0, 19), (3, 17), (12, 7), (10, 10)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + 3*x^4 + x^3 - 4*x^2 - 3*x + 2), set([(0, 19), (3, 17), (6, 13), (4, 16)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (9, 11), (11, 9)]))
('Cluster size', 4, (x^15 + x^14 - x^4 - x^3 - x^2 - x - 1, alpha + x^21 + 2*x^20 + x^19 + x^18 + x^17 + x^16 + 2*x^15 + x^14 + x^13 - x^11 - x^10 - 2*x^9 - 2*x^8 - 3*x^7 - 3*x^6 - 3*x^5 - 3*x^4 - 3*x^3 - 3*x^2 - 2*x - 1), set([(5, 17), (0, 19), (16, 3), (14, 8)]))
('Cluster size', 4, (x^11 - x^6 - x^4 - x^2 - 1, alpha + 2*x^12 + 2*x^11 - x^7 - 2*x^6 - 3*x^5 - 2*x^4 - 2*x^3 - 3*x^2 - 2*x - 2), set([(8, 17), (13, 6), (0, 19), (11, 14)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 2*alpha + x^17 + 3*x^16 + 2*x^15 + x^14 + x^13 - 2*x^10 - x^8 - 3*x^7 - 2*x^6 - 2*x^5 - 4*x^4 - 2*x^3 - 2*x^2 - x + 1), set([(13, 10), (0, 19), (7, 16), (16, 3)]))
('Cluster size', 4, (x^13 - x^12 - x^9 - x^6 - x^3 - 1, alpha - x^10 + x^9 + x^6 + x^3 + 1), set([(15, 16), (0, 19), (13, 18), (16, 3)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^8 - x^6), set([(17, 2), (0, 19), (10, 10), (8, 12)]))
('Cluster size', 4, (x^11 - x^10 - x^4 + x^3 - x^2 + x - 1, alpha - x^10 + x^8 + x^3), set([(17, 2), (0, 19), (12, 17), (15, 14)]))
('Cluster size', 4, (x^14 - x^12 - x^8 - x^4 - 1, alpha - x^13 + x^11 + x^7 + x^3), set([(18, 1), (0, 19), (14, 17), (16, 15)]))
('Cluster size', 4, (x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^10 - x^9 + x^7 - x^6 - 1), set([(13, 6), (0, 19), (12, 9), (3, 18)]))
('Cluster size', 4, (x^11 - x^8 + x^5 - x^2 - x - 1, alpha - x^20 + x^19 + x^14 + x^11 - x^5 - x^4 - x^3 - x^2 - 2*x - 1), set([(15, 4), (0, 19), (5, 18), (14, 9)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 - x^9 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (8, 13), (11, 10)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (13, 15), (18, 1), (14, 14)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 + x^8 + x^7 + x^6 + 2*x^5 + x^3 + x + 1), set([(9, 18), (11, 16), (0, 19), (12, 7)]))
('Cluster size', 4, (x^17 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (6, 18), (18, 1), (17, 7)]))
('Cluster size', 4, (x^15 + x^14 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 2*x^15 + 2*x^14 + x^13 - x^11 - 2*x^10 - 2*x^9 - 3*x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(0, 19), (11, 17), (16, 3), (14, 14)]))
('Cluster size', 4, (x^17 + x^15 + x^13 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (13, 10), (10, 13)]))
('Cluster size', 4, (x^9 - x^8 - 1, alpha + x^14 - x^13 + x^12 - x^11 - x^7 + x^6 - x^5 - x^3), set([(9, 18), (17, 2), (0, 19), (16, 11)]))
('Cluster size', 4, (x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^8 - x^5), set([(0, 19), (13, 15), (14, 5), (10, 18)]))
('Cluster size', 4, (x^18 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (6, 18), (18, 6)]))
('Cluster size', 4, (x^15 - x^14 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^12 + x^10 + x^8 + x^6 + x^4 + x^2 + 1), set([(16, 17), (17, 2), (0, 19), (15, 18)]))
('Cluster size', 4, (x^17 + x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (16, 5), (5, 16)]))
('Cluster size', 4, (x^11 - x^3 - 1, alpha - 2*x^14 - x^13 - x^12 + x^9 + x^6 + x^5 + x^4 + 2*x^3 + x^2), set([(0, 19), (6, 16), (14, 5), (11, 11)]))
('Cluster size', 4, (x^18 + x^17 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (17, 15), (15, 17)]))
('Cluster size', 4, (x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 + x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x), set([(0, 19), (6, 18), (14, 5), (13, 11)]))
('Cluster size', 4, (x^15 - x^12 + x^11 - x^8 + x^7 - x^4 - 1, alpha - 1), set([(19, 0), (0, 19), (7, 16), (16, 7)]))
('Cluster size', 4, (x^13 - x^4 - 1, alpha - x^11 + x^2), set([(17, 2), (0, 19), (13, 10), (8, 15)]))
('Cluster size', 4, (x^11 - x^2 - x - 1, alpha - 2*x^16 - x^14 - 2*x^13 - x^11 - x^10 + x^8 + x^7 + 2*x^6 + 4*x^5 + 2*x^4 + 3*x^3 + 3*x^2 + 2*x + 2), set([(12, 7), (0, 19), (3, 18), (11, 10)]))
('Cluster size', 4, (x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^5 + 2*x^4 + x^3 - 2*x^2 - x), set([(0, 19), (6, 18), (8, 11), (7, 17)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - 1), set([(9, 14), (0, 19), (5, 18), (10, 9)]))
('Cluster size', 4, (x^17 + x^16 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (9, 17), (18, 1), (16, 10)]))
('Cluster size', 4, (x^16 + x^15 + x^14 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^12 - x^6), set([(17, 2), (0, 19), (8, 16), (14, 10)]))
('Cluster size', 4, (x^6 - x^4 - 1, alpha - x^5 + 2*x), set([(0, 19), (6, 17), (8, 15), (10, 9)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (7, 16), (14, 9)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 2*x^22 + x^21 - x^20 - x^16 - x^14 - x^12 + 2*x^11 + 2*x^9 + x^8 + x^7 + x^5 + 2*x^3 + x^2 + 2*x + 1), set([(15, 4), (0, 19), (14, 7), (3, 18)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 3*x^6 - 2*x^5 + x^4 - 3*x^3 + x^2 - 3*x - 2), set([(9, 10), (0, 19), (5, 18), (8, 15)]))
('Cluster size', 4, (x^17 + x^16 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (16, 8), (18, 1), (7, 17)]))
('Cluster size', 4, (x^17 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (4, 17), (17, 4)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^6 - x^2), set([(11, 12), (0, 19), (7, 16), (14, 5)]))
('Cluster size', 4, (x^12 + x^11 - x^2 - x - 1, 4*alpha + x^17 + 4*x^16 - 3*x^15 + 5*x^13 + x^11 + 4*x^10 - 4*x^8 + 3*x^7 - 4*x^6 - 2*x^5 - 3*x^4 + x^3 - 6*x^2 - 5), set([(13, 6), (0, 19), (3, 17), (11, 9)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x^4 - 2*x^3 + 2*x + 1), set([(0, 19), (5, 15), (8, 11), (4, 16)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^10 - x^9 + x^8 + x^6 + x^4 + x^2 + 1), set([(11, 16), (17, 2), (0, 19), (14, 13)]))
('Cluster size', 4, (x^15 + x^14 - x^2 - x - 1, alpha + x^23 + 2*x^22 + x^21 + x^20 + 2*x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 - x^11 - x^10 - 2*x^9 - 2*x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - x^3 - 2*x^2 - x - 2), set([(0, 19), (3, 17), (16, 3), (14, 6)]))
('Cluster size', 4, (x^9 + x^8 - x^2 - x - 1, alpha - 2*x^12 - 3*x^11 - 2*x^10 - 3*x^9 - 3*x^8 + x^5 + 4*x^4 + 4*x^3 + 3*x^2 + 5*x + 2), set([(0, 19), (3, 17), (10, 9), (8, 12)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (14, 16), (18, 1), (15, 15)]))
('Cluster size', 4, (x^10 + x^8 - x^4 - x^2 - 1, alpha - x^13 + x^3), set([(18, 1), (0, 19), (14, 9), (8, 15)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^7 - x^5), set([(15, 4), (0, 19), (11, 13), (9, 15)]))
('Cluster size', 4, (x^13 - x^12 - x^6 - 1, alpha - 1), set([(19, 0), (0, 19), (13, 18), (18, 13)]))
('Cluster size', 4, (x^17 - x^14 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(16, 17), (19, 0), (0, 19), (17, 16)]))
('Cluster size', 4, (x^8 - x^7 - 1, alpha - x^4 + x^3), set([(15, 4), (14, 12), (0, 19), (8, 18)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^5 - 1), set([(0, 19), (5, 15), (14, 5), (10, 10)]))
('Cluster size', 4, (x^11 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - x^14 + x^13 - x^12 + 2*x^11 - x^10 + x^9 + x^5 + x^3 + x), set([(15, 4), (0, 19), (14, 15), (11, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (7, 15), (18, 1), (14, 8)]))
('Cluster size', 4, (x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^14 + x^13 - x^10 - x^8 - 2*x^7 - 2*x^6 - x^5 - 2*x^4 - x^3 + x + 1), set([(0, 19), (6, 18), (12, 7), (11, 13)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 + x^6 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (16, 13), (11, 18)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 + x^14 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (14, 6), (6, 14)]))
('Cluster size', 4, (x^17 + x^16 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 + x^3 + x^2 + x + 1), set([(5, 17), (0, 19), (18, 1), (16, 6)]))
('Cluster size', 4, (x^16 - x^15 - x^12 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(19, 0), (18, 16), (0, 19), (16, 18)]))
('Cluster size', 4, (x^16 + x^15 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^13 - x^11), set([(17, 2), (13, 17), (0, 19), (15, 15)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (12, 8), (8, 12)]))
('Cluster size', 4, (x^10 - x^3 - 1, alpha + x^12 - x^11 + x^10 + x^7 - x^5 - x^3 - x^2 + x - 2), set([(13, 6), (0, 19), (6, 16), (10, 12)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^11 - x^9), set([(17, 2), (11, 15), (0, 19), (13, 13)]))
('Cluster size', 4, (x^16 + x^14 - x^4 - x^2 - 1, alpha - x^15 - x^13 + x^3 + x), set([(14, 7), (0, 19), (6, 15), (18, 1)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^11 - x^7), set([(17, 2), (0, 19), (13, 11), (9, 15)]))
('Cluster size', 4, (x^11 - x - 1, alpha - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + 1), set([(0, 19), (11, 9), (12, 7), (2, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (12, 14), (18, 1), (13, 13)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - 2*x^2 - 1), set([(15, 4), (0, 19), (10, 10), (6, 14)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (11, 9), (18, 1), (8, 12)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (13, 7), (18, 1), (6, 14)]))
('Cluster size', 4, (x^8 + x^7 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + 2*x^6 - x^3 - 3*x^2 - x - 2), set([(9, 10), (5, 17), (0, 19), (7, 15)]))
('Cluster size', 4, (x^14 - x^3 - 1, alpha - x^12 + x), set([(17, 2), (0, 19), (6, 16), (14, 8)]))
('Cluster size', 4, (x^8 + x^7 - x^2 - x - 1, 2*alpha + 3*x^9 + 6*x^8 + 3*x^7 + 2*x^6 + 2*x^5 - 2*x^4 - 5*x^3 - 4*x^2 - 6*x - 7), set([(9, 10), (0, 19), (3, 17), (7, 13)]))
('Cluster size', 4, (x^16 - x^2 - 1, alpha - x^15 + x), set([(16, 5), (0, 19), (4, 17), (18, 1)]))
('Cluster size', 4, (x^16 - x^3 - 1, alpha - 1), set([(19, 0), (16, 6), (0, 19), (6, 16)]))
('Cluster size', 4, (x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha + 2*x^21 + x^20 + 2*x^18 + x^17 + x^16 + 2*x^15 + x^14 + x^13 + x^12 - x^11 - 2*x^10 - 2*x^9 - 4*x^8 - 3*x^7 - 3*x^6 - 4*x^5 - 4*x^4 - 4*x^3 - 4*x^2 - 3*x - 1), set([(0, 19), (3, 18), (13, 8), (14, 5)]))
('Cluster size', 4, (x^13 + x^11 + x^9 - x^6 - x^4 - x^2 - 1, alpha + x^11 - x^5 - x^4), set([(15, 4), (0, 19), (8, 13), (9, 12)]))
('Cluster size', 4, (x^13 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^11 - x^9 - x^8), set([(15, 4), (0, 19), (12, 17), (13, 16)]))
('Cluster size', 4, (x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^9 - x^8 + x^5 + x^4 + 2*x^3 + x^2 + 1), set([(11, 8), (0, 19), (9, 15), (7, 17)]))
('Cluster size', 4, (x^7 - x^2 - x - 1, alpha - 4*x^8 - x^7 - x^6 - 2*x^5 + 2*x^4 + 4*x^3 + 4*x^2 + 6*x + 5), set([(8, 11), (0, 19), (7, 14), (3, 18)]))
('Cluster size', 4, (x^16 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^14 - x^4), set([(17, 2), (0, 19), (6, 18), (16, 8)]))
('Cluster size', 4, (x^10 - x^6 - x^4 - x^2 - 1, alpha + x^5 - x^3 - x), set([(8, 17), (10, 15), (0, 19), (12, 7)]))
('Cluster size', 4, (x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, 4*alpha - 7*x^19 - 4*x^18 + x^17 - 4*x^16 - 3*x^15 - 4*x^14 - 3*x^13 + 4*x^11 + 3*x^9 + 4*x^8 + 6*x^7 + 8*x^6 + 9*x^5 + 5*x^4 + 8*x^3 + 6*x^2 + 3), set([(15, 4), (5, 17), (0, 19), (13, 9)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^9 + x^7), set([(18, 1), (0, 19), (16, 11), (10, 17)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 - x^4 + x^3 - x^2 + x - 1, alpha - 1), set([(19, 0), (0, 19), (14, 15), (15, 14)]))
('Cluster size', 4, (x^14 + x^12 + x^10 - x^6 - x^4 - x^2 - 1, alpha + x^13 - x^7 - x^5), set([(10, 11), (0, 19), (8, 13), (16, 3)]))
('Cluster size', 4, (x^5 - x^4 - x^2 - 1, alpha - 2*x^4 + x^3 + 4*x + 2), set([(7, 12), (0, 19), (5, 18), (6, 17)]))
('Cluster size', 4, (x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^3 - x^2 - x), set([(9, 18), (11, 8), (0, 19), (10, 17)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^6 - x^3), set([(0, 19), (8, 16), (14, 5), (11, 13)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha - x^15 - 2*x^14 - 2*x^13 - 2*x^12 - x^7 + x^5 + 2*x^4 + 2*x^3 + 2*x^2 + x + 1), set([(15, 4), (0, 19), (5, 15), (11, 9)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 - x^11 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (12, 12), (18, 1), (11, 13)]))
('Cluster size', 4, (x^7 + x^6 + x^5 - x^3 - x^2 - x - 1, alpha + x^8 + 2*x^7 + 3*x^6 + 2*x^5 - x^4 - 3*x^3 - 4*x^2 - 2*x - 1), set([(12, 7), (0, 19), (9, 12), (5, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^10 - x^5), set([(0, 19), (8, 16), (16, 3), (13, 11)]))
('Cluster size', 4, (x^9 - x^6 - 1, alpha - x^5 + x^2), set([(12, 13), (15, 4), (0, 19), (9, 16)]))
('Cluster size', 4, (x^9 - x^7 + x^5 - x^4 - x^3 + x^2 - 1, alpha - x^11 + x^9 - x^4 + x^3 + 1), set([(0, 19), (9, 16), (11, 14), (14, 5)]))
('Cluster size', 4, (x^7 - x^6 + x^4 - x^3 - 1, alpha - x^6 + 2*x^5 - x^4 - x^3 + x^2 + x - 1), set([(4, 18), (0, 19), (10, 9), (9, 13)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha + x^21 - x^20 + x^19 + x^18 - x^17 + x^15 - x^14 + x^12 - x^11 - x^10 + x^9 - x^8 - 2*x^7 - x^5 - 2*x^4 + x^3 - x + 1), set([(4, 18), (0, 19), (16, 3), (15, 7)]))
('Cluster size', 4, (x^18 + x^17 + x^16 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (10, 16), (0, 19), (16, 10)]))
('Cluster size', 4, (x^13 - x^8 - x^4 - 1, alpha - x^11 + x^6 + x^2), set([(13, 14), (17, 2), (0, 19), (12, 15)]))
('Cluster size', 4, (x^16 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^14 - x^8), set([(17, 2), (0, 19), (16, 12), (10, 18)]))
('Cluster size', 4, (x^18 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (18, 8), (0, 19), (8, 18)]))
('Cluster size', 4, (x^3 - x^2 - 1, alpha - 4*x^2 + 12*x - 9), set([(5, 14), (0, 19), (4, 17), (3, 18)]))
('Cluster size', 4, (x^15 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^9), set([(12, 18), (0, 19), (16, 3), (15, 15)]))
('Cluster size', 4, (x^7 + x^6 - x^4 - x - 1, alpha + x^6 - x^3 - x), set([(15, 4), (0, 19), (7, 16), (12, 11)]))
('Cluster size', 4, (x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - 1), set([(12, 12), (13, 6), (0, 19), (6, 18)]))
('Cluster size', 4, (x^11 - x^10 - x^5 - 1, alpha + x^13 - x^11 - x^8 - x^6 - x), set([(0, 19), (16, 3), (15, 14), (11, 18)]))
('Cluster size', 4, (x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^7 - x^6 - x^5), set([(13, 6), (0, 19), (12, 17), (11, 18)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^4 - x), set([(8, 17), (15, 4), (0, 19), (13, 12)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^8 - x^4), set([(12, 12), (15, 4), (0, 19), (8, 16)]))
('Cluster size', 4, (x^17 + x^16 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 17), (0, 19), (18, 1), (16, 14)]))
('Cluster size', 4, (x^9 - x^7 - 1, alpha + x^12 + x^11 - x^10 - x^9 - x^6 + x^4 - x^3 - x^2), set([(14, 12), (0, 19), (16, 3), (9, 17)]))
('Cluster size', 4, (x^17 - x^16 + x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(9, 18), (19, 0), (0, 19), (18, 9)]))
('Cluster size', 4, (x^15 + x^14 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^11 - x^10), set([(13, 17), (0, 19), (16, 3), (14, 16)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - x^3 + x), set([(12, 7), (0, 19), (10, 13), (6, 17)]))
('Cluster size', 4, (x^17 - x^16 + x^15 - x^14 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (18, 11), (11, 18)]))
('Cluster size', 4, (x^14 - x^12 + x^11 - x^9 + x^8 - x^6 + x^5 - x^3 - 1, 5*alpha + x^21 - 6*x^20 + x^19 + 5*x^18 - 5*x^17 + x^15 - 6*x^14 + x^13 - 6*x^11 + 6*x^10 - x^9 + 4*x^7 + x^6 - 3*x^5 + 8*x^4 - 4*x^3 + 3*x^2 + 6*x + 4), set([(17, 2), (5, 17), (0, 19), (15, 7)]))
('Cluster size', 4, (x^14 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^9 - x^7), set([(13, 15), (15, 4), (0, 19), (11, 17)]))
('Cluster size', 4, (x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 3*x^14 + 5*x^13 + 2*x^12 - 2*x^9 - 5*x^8 - 6*x^7 - 5*x^6 - 5*x^5 - 6*x^4 - 5*x^3 - 5*x^2 - 5*x - 2), set([(0, 19), (9, 17), (14, 5), (12, 14)]))
('Cluster size', 4, (x^18 + x^17 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (11, 17), (17, 11)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^5 - x^3), set([(15, 4), (9, 11), (0, 19), (7, 13)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (5, 15), (15, 5)]))
('Cluster size', 4, (x^17 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(12, 18), (0, 19), (18, 1), (17, 13)]))
('Cluster size', 4, (x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 + 1), set([(17, 2), (0, 19), (14, 7), (5, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^8 - x^6), set([(15, 4), (10, 16), (0, 19), (12, 14)]))
('Cluster size', 4, (x^13 - x^12 + x^9 - x^8 + x^5 - x^4 - 1, alpha + x^22 - x^21 + x^20 + x^18 - x^17 + x^14 - x^13 - x^11 + x^10 - x^9 - x^8 - 2*x^7 - x^5 - x^4 - x^3 + x^2), set([(17, 2), (0, 19), (5, 18), (16, 7)]))
('Cluster size', 4, (x^15 + x^13 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^2 + 1), set([(17, 2), (0, 19), (6, 15), (13, 8)]))
('Cluster size', 4, (x^3 - x - 1, alpha + 7*x^2 - 4*x - 7), set([(0, 19), (3, 17), (4, 15), (2, 18)]))
('Cluster size', 4, (x^10 - x^3 - x^2 - x - 1, alpha + 2*x^14 + 2*x^12 + x^11 + 2*x^10 - x^7 - 3*x^6 - 4*x^5 - 5*x^4 - 4*x^3 - 6*x^2 - 3*x - 3), set([(11, 8), (4, 18), (0, 19), (10, 12)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^11 + x^10 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - 1), set([(10, 15), (19, 0), (0, 19), (15, 10)]))
('Cluster size', 4, (x^7 - x - 1, alpha + 6*x^10 + 2*x^9 + 4*x^8 + 3*x^7 + 3*x^6 - 2*x^5 - 5*x^4 - 8*x^3 - 7*x^2 - 6*x - 7), set([(0, 19), (7, 13), (8, 11), (2, 18)]))
('Cluster size', 4, (x^13 - x^3 - x^2 - x - 1, alpha - x^20 - x^19 - 2*x^18 - x^16 - x^15 - x^14 - x^12 + x^10 + 3*x^9 + 3*x^8 + 4*x^7 + 4*x^6 + 4*x^5 + 3*x^4 + 3*x^3 + 3*x^2 + 2*x + 1), set([(4, 18), (0, 19), (14, 5), (13, 9)]))
('Cluster size', 4, (x^16 + x^14 + x^12 - x^6 - x^4 - x^2 - 1, alpha - x^15 - x^13 - x^11 + x^5 + x^3 + x), set([(12, 9), (0, 19), (8, 13), (18, 1)]))
('Cluster size', 4, (x^15 - x^4 - x^3 - x^2 - x - 1, alpha - x^23 + x^22 + x^17 + x^13 - x^7 - x^6 - x^5 - x^4 - x^3 - 2*x^2), set([(15, 8), (0, 19), (5, 18), (16, 3)]))
('Cluster size', 4, (x^7 - x^3 - 1, alpha - x^5 - x^4 + 2*x + 1), set([(0, 19), (6, 16), (10, 9), (7, 15)]))
('Cluster size', 4, (x^15 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^20 + x^19 + x^18 + x^13 - x^10 - x^9 - x^8 - x^7 - x^6 - 2*x^5 - 2*x^4 - x^3), set([(15, 11), (0, 19), (16, 3), (8, 18)]))
('Cluster size', 4, (x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^11 - x^10 - x^9), set([(15, 4), (0, 19), (13, 18), (14, 17)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(11, 16), (15, 12), (0, 19), (18, 1)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^5), set([(8, 14), (0, 19), (16, 3), (11, 11)]))
('Cluster size', 4, (x^6 - x^2 - 1, alpha - 2*x^5 + x^3 + 2*x), set([(6, 15), (0, 19), (4, 17), (8, 11)]))
('Cluster size', 4, (x^5 + x^4 - x^2 - x - 1, alpha + 3*x^8 + 4*x^7 + 2*x^6 - x^5 - x^4 - 2*x^3 - 4*x^2 - 6*x - 3), set([(9, 10), (0, 19), (4, 17), (7, 14)]))
('Cluster size', 4, (x^9 - x^2 - 1, alpha + x^12 + 2*x^11 + 2*x^10 + x^9 + x^7 - 2*x^5 - 2*x^4 - 2*x^3 - 3*x^2 - 3*x - 2), set([(11, 8), (0, 19), (4, 17), (9, 12)]))
('Cluster size', 4, (x^7 + x^5 - x^4 - x^2 - 1, alpha + x^6 + x^5 + 2*x^4 - x^3 - x^2 - 3*x - 1), set([(9, 10), (0, 19), (6, 15), (5, 16)]))
('Cluster size', 4, (x^13 - x^10 + x^8 - x^5 - 1, alpha - x^12 + x^9 - x^7 + x^4), set([(0, 19), (8, 16), (18, 1), (15, 9)]))
('Cluster size', 4, (x^10 + x^9 + x^8 - x^3 - x^2 - x - 1, alpha + x^7 - x^4 + x^3 - 2), set([(11, 8), (0, 19), (8, 12), (4, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^3 - x^2 - x - 1, 3*alpha + x^20 + 4*x^19 + x^17 + x^16 + 3*x^15 + x^14 + x^13 - 3*x^10 - x^8 - 4*x^7 - 2*x^5 - 4*x^4 + x^3 - 3*x^2 - 4*x + 2), set([(0, 19), (13, 7), (16, 3), (4, 16)]))
('Cluster size', 4, (x^16 + x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - 1), set([(19, 0), (0, 19), (7, 15), (15, 7)]))
('Cluster size', 4, (x^13 + x^10 - x^6 - x^3 - 1, alpha - x^10 - x^7 + x^3 + 1), set([(9, 13), (0, 19), (16, 3), (10, 12)]))
('Cluster size', 4, (x^7 + x^6 - x^2 - x - 1, alpha + 16*x^8 + 23*x^7 + 10*x^6 - x^5 - 3*x^4 - 13*x^3 - 23*x^2 - 28*x - 5), set([(0, 19), (3, 17), (8, 11), (6, 14)]))
('Cluster size', 4, (x^18 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (14, 18), (18, 14)]))
('Cluster size', 4, (x^17 - x - 1, alpha - x^16 + 1), set([(0, 19), (17, 3), (18, 1), (2, 18)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 - x^11 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (7, 13), (18, 1), (12, 8)]))
('Cluster size', 4, (x^10 + x^9 - x^2 - x - 1, 3*alpha + 7*x^13 - 3*x^12 + x^11 + 6*x^10 - 2*x^9 - 3*x^7 + 3*x^6 - 7*x^5 - 5*x^3 + 4*x^2 - 12*x + 5), set([(11, 8), (9, 11), (0, 19), (3, 17)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^2 - x), set([(15, 4), (0, 19), (6, 15), (11, 10)]))
('Cluster size', 4, (x^17 - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (16, 18), (18, 1), (17, 17)]))
('Cluster size', 4, (x^18 + x^17 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (3, 17), (17, 3)]))
('Cluster size', 4, (x^13 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - x^16 - x^14 - x^13 + x^12 - x^11 - x^10 + x^9 - x^8 + 2*x^6 + 2*x^3 + x + 1), set([(12, 10), (0, 19), (16, 3), (7, 15)]))
('Cluster size', 4, (x^17 + x^15 + x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (10, 11), (11, 10)]))
('Cluster size', 4, (x^9 + x^8 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 + x^4 + x^3 + x^2 + 2*x + 1), set([(0, 19), (8, 16), (10, 9), (7, 17)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^20 - 2*x^19 - 2*x^18 - 3*x^17 - 2*x^16 - 3*x^15 - 3*x^14 - x^13 - x^12 + x^9 + 2*x^8 + 2*x^7 + 3*x^6 + 4*x^5 + 3*x^4 + 3*x^3 + 2*x^2 + 2*x + 1), set([(0, 19), (5, 15), (16, 3), (12, 8)]))
('Cluster size', 4, (x^15 + x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 - x^9 + x^6 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (11, 12), (10, 13)]))
('Cluster size', 4, (x^15 + x^12 - x^6 - x^3 - 1, alpha - x^14 - x^11 + x^5 + x^2), set([(9, 13), (0, 19), (18, 1), (12, 10)]))
('Cluster size', 4, (x^13 + x^12 - x^2 - x - 1, alpha + 3*x^20 + 4*x^19 + 2*x^18 + 3*x^17 + 4*x^16 + 3*x^15 + 3*x^14 + 4*x^13 + 3*x^12 - x^10 - 2*x^9 - 4*x^8 - 6*x^7 - 4*x^6 - 5*x^5 - 5*x^4 - 5*x^3 - 5*x^2 - 5*x - 2), set([(0, 19), (3, 17), (14, 5), (12, 8)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^3 - 1, alpha - x^17 - x^14 + x^13 - x^11 + x^9 + x^7 + 2*x^6 + x^5 + x^4 + 2*x^3 + x^2 + x + 1), set([(0, 19), (16, 3), (15, 10), (7, 18)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 + x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^6 - x^4), set([(15, 4), (8, 14), (0, 19), (10, 12)]))
('Cluster size', 4, (x^14 + x^12 - x^4 - x^2 - 1, alpha + x^13 - x^9 - x^3), set([(12, 9), (0, 19), (6, 15), (16, 3)]))
('Cluster size', 4, (x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^9 - x^5), set([(15, 4), (0, 19), (9, 17), (13, 13)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 + x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^2 - 1), set([(13, 6), (0, 19), (8, 12), (6, 14)]))
('Cluster size', 4, (x^8 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + 8*x^8 + 2*x^7 - x^6 - 7*x^5 - 11*x^4 - 9*x^3 - 10*x^2 - 9*x - 9), set([(9, 10), (8, 16), (0, 19), (6, 18)]))
('Cluster size', 4, (x^13 - x^12 - x^8 + x^7 - x^6 - x^2 + x - 1, alpha - x^12 + x^10 + x^7 + x^4 + x), set([(17, 2), (0, 19), (15, 16), (14, 17)]))
('Cluster size', 4, (x^11 - x^6 - 1, alpha - x^9 + x^4), set([(12, 13), (17, 2), (0, 19), (11, 14)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^9 - x^6), set([(0, 19), (12, 12), (16, 3), (9, 15)]))
('Cluster size', 4, (x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^5 - x), set([(13, 6), (0, 19), (11, 13), (7, 17)]))
('Cluster size', 4, (x^11 + x^10 - x^8 - x^7 - x^6 - x^2 - x - 1, alpha - x^14 - x^13 + x^11 + x^8 + x^7 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 14), (15, 4), (0, 19), (10, 17)]))
('Cluster size', 4, (x^16 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^15 + x^9 + x^7 + x^5 + x^3 + x), set([(16, 13), (0, 19), (12, 17), (18, 1)]))
('Cluster size', 4, (x^9 + x^8 + x^7 + x^6 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 + x^6 - x^3 - 2*x^2), set([(0, 19), (5, 15), (10, 9), (6, 14)]))
('Cluster size', 4, (x^16 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^14 - x^6), set([(17, 2), (0, 19), (8, 18), (16, 10)]))
('Cluster size', 4, (x^18 + x^17 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (5, 17), (0, 19), (17, 5)]))
('Cluster size', 4, (x^8 - x - 1, alpha + 3*x^7 - 2*x^6 + x^5 - x^4 + x^3 - x^2 + x - 4), set([(9, 10), (0, 19), (8, 12), (2, 18)]))
('Cluster size', 4, (x^15 + x^13 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^6 + x^4 + x^2 + 1), set([(10, 15), (17, 2), (0, 19), (13, 12)]))
('Cluster size', 4, (x^15 - x^8 - x^4 - 1, alpha - 1), set([(15, 12), (19, 0), (0, 19), (12, 15)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^5 - x^2 - x), set([(0, 19), (8, 16), (12, 7), (9, 15)]))
('Cluster size', 4, (x^12 - x^10 + x^7 - x^5 - 1, 4*alpha - 3*x^17 - 5*x^16 + x^15 + 3*x^14 + x^13 - 4*x^12 - 4*x^11 + 3*x^9 + 5*x^8 - x^7 + x^6 + 2*x^5 + 5*x^4 + 6*x^3 + 2*x^2 + x + 3), set([(17, 2), (0, 19), (15, 9), (7, 17)]))
('Cluster size', 4, (x^16 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^14 - x^10), set([(17, 2), (12, 18), (0, 19), (16, 14)]))
('Cluster size', 4, (x^10 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^3 - x^2 - 1), set([(11, 8), (10, 16), (0, 19), (8, 18)]))
('Cluster size', 4, (x^17 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (17, 11), (18, 1), (10, 18)]))
('Cluster size', 4, (x^12 + x^11 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 + x^7 - x^5 + x^3 + x^2 + x + 1), set([(13, 6), (5, 17), (0, 19), (11, 11)]))
('Cluster size', 4, (x^16 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(19, 0), (0, 19), (16, 12), (12, 16)]))
('Cluster size', 4, (x^14 - x^3 - x^2 - x - 1, alpha - x^21 + x^20 + x^16 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - 1), set([(15, 4), (4, 18), (0, 19), (14, 8)]))
('Cluster size', 4, (x^5 - x^3 - x^2 - x - 1, alpha - 4*x^4 + x^3 + 7*x^2 + 2*x - 1), set([(4, 18), (0, 19), (6, 13), (5, 17)]))
('Cluster size', 4, (x^14 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^13 - x^11 - x^9), set([(14, 15), (0, 19), (12, 17), (16, 3)]))
('Cluster size', 4, (x^9 - x^3 - 1, alpha - x^14 + x^5 + x^2), set([(18, 1), (0, 19), (9, 16), (15, 10)]))
('Cluster size', 4, (x^17 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (17, 6), (6, 17)]))
('Cluster size', 4, (x^11 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - x^10 - x^8 + 2*x^7 - x^6 + x^5 - 2*x^4 + x^3 + x), set([(13, 6), (0, 19), (10, 11), (5, 16)]))
('Cluster size', 4, (x^11 + x^10 + x^9 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 - x^9 + x^6 + 2*x^5 + x^4 + x^3 + x), set([(9, 14), (0, 19), (7, 16), (12, 7)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 - x^11 - x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (10, 12), (18, 1), (11, 11)]))
('Cluster size', 4, (x^11 - x^5 - 1, alpha - x^8 + x^2), set([(0, 19), (10, 14), (16, 3), (11, 13)]))
('Cluster size', 4, (x^12 + x^10 - x^4 - x^2 - 1, alpha + x^9 - x^5 - x), set([(10, 11), (0, 19), (6, 15), (14, 5)]))
('Cluster size', 4, (x^15 - x^13 + x^11 - x^9 + x^7 - x^5 - x^4 - x - 1, alpha - x^16 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (17, 8), (7, 18)]))
('Cluster size', 4, (x^12 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^7 - x^6 - x^2), set([(13, 6), (0, 19), (8, 18), (12, 14)]))
('Cluster size', 4, (x^13 - x^12 + x^10 - x^9 + x^7 - x^6 - x^2 + x - 1, alpha - x^12 + x^10 - x^9 + x^7 - x^6 + x^4 + x), set([(8, 17), (17, 2), (0, 19), (15, 10)]))
('Cluster size', 4, (x^14 - x^12 + x^11 - x^9 - x^6 - x^3 - 1, alpha - x^12 + x^10 - x^9 + x^7 + x^4 + x), set([(17, 2), (0, 19), (11, 17), (15, 13)]))
('Cluster size', 4, (x^7 - x^6 - 1, alpha - x + 1), set([(12, 13), (13, 6), (0, 19), (7, 18)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^10 - x^7), set([(10, 16), (0, 19), (16, 3), (13, 13)]))
('Cluster size', 4, (x^13 - x^6 - 1, alpha - 1), set([(12, 13), (19, 0), (0, 19), (13, 12)]))
('Cluster size', 4, (x^10 - x^9 - x^6 - x^3 - 1, alpha + x^7 - x^6 - x^4), set([(13, 6), (0, 19), (12, 16), (10, 18)]))
('Cluster size', 4, (x^17 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(17, 10), (19, 0), (0, 19), (10, 17)]))
('Cluster size', 4, (x^13 + x^12 + x^11 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^12 - x^11 - x^10 + x^9 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (11, 9), (14, 5), (4, 16)]))
('Cluster size', 4, (x^9 - x^4 - x^3 - x^2 - x - 1, alpha + x^6 - x^5 - x), set([(9, 18), (15, 4), (0, 19), (14, 13)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 + x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(13, 10), (0, 19), (9, 14), (18, 1)]))
('Cluster size', 4, (x^18 + x^17 + x^16 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (8, 16), (16, 8)]))
('Cluster size', 4, (x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^10 - 2*x^9 + x^8 - x^7 + x^4 + x^3 + 1), set([(10, 15), (11, 8), (0, 19), (7, 18)]))
('Cluster size', 4, (x^16 + x^15 + x^14 + x^13 + x^12 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^15 - x^10 - x^4), set([(17, 2), (0, 19), (12, 8), (6, 14)]))
('Cluster size', 4, (x^7 - x^4 - x^3 - x^2 - x - 1, alpha + 4*x^7 - x^6 - x^5 - 2*x^4 - 4*x^3 - x^2 - 5*x - 3), set([(7, 16), (0, 19), (5, 18), (8, 11)]))
('Cluster size', 4, (x^18 + x^17 + x^16 + x^15 + x^14 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (8, 14), (0, 19), (14, 8)]))
('Cluster size', 4, (x^10 - x^6 - 1, alpha - x^7 + x^3), set([(10, 15), (12, 13), (0, 19), (16, 3)]))
('Cluster size', 4, (x^8 - x^6 + x^5 - x^3 - 1, 2*alpha + 3*x^9 + 3*x^8 - 3*x^7 + x^5 - 3*x^4 + x^3 - 2*x^2 - 5*x - 1), set([(11, 8), (5, 17), (0, 19), (9, 13)]))
('Cluster size', 4, (x^10 - x^8 - x^4 - 1, alpha + x^9 - x^7 - x^5), set([(0, 19), (12, 15), (10, 17), (14, 5)]))
('Cluster size', 4, (x^14 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^20 - x^19 + x^18 - x^10 - x^9 - x^8 - x^7 - x^6 - x^4 - x^2), set([(15, 4), (0, 19), (6, 18), (14, 10)]))
('Cluster size', 4, (x^17 + x^15 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (6, 15), (15, 6)]))
('Cluster size', 4, (x^5 - x - 1, alpha - x^6 - 3*x^5 + x^4 - 3*x^3 + 5*x^2 + 5), set([(0, 19), (5, 15), (6, 13), (2, 18)]))
('Cluster size', 4, (x^5 - x^4 + x^3 - x^2 - 1, alpha + 5*x^6 + 11*x^5 - 8*x^4 + 10*x^3 - 19*x^2 - 23), set([(7, 12), (0, 19), (6, 15), (3, 18)]))
('Cluster size', 4, (x^17 - x^16 - x^14 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(17, 18), (19, 0), (0, 19), (18, 17)]))
('Cluster size', 4, (x^13 + x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^11 - x^7 - x^6), set([(10, 15), (15, 4), (0, 19), (11, 14)]))
('Cluster size', 4, (x^9 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^10 + 3*x^9 + x^7 + x^6 - x^5 - x^4 - 2*x^3 - x^2 - 4), set([(0, 19), (6, 18), (10, 9), (9, 15)]))
('Cluster size', 4, (x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha + x^16 - 3*x^15 + x^14 + x^13 - 2*x^12 + 2*x^10 - 2*x^9 - x^8 + 3*x^7 - x^6 + 3*x^4 + x^3 - x^2 + 2*x), set([(13, 6), (4, 18), (0, 19), (12, 10)]))
('Cluster size', 4, (x^16 + x^15 + x^14 - x^3 - x^2 - x - 1, alpha + x^15 - x^12 - x^2), set([(17, 2), (0, 19), (14, 6), (4, 16)]))
('Cluster size', 4, (x^9 - x - 1, alpha - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 + x), set([(0, 19), (9, 11), (10, 9), (2, 18)]))
('Cluster size', 4, (x^13 - x^12 + x^7 - x^6 - 1, alpha - 1), set([(18, 7), (19, 0), (0, 19), (7, 18)]))
('Cluster size', 4, (x^18 + x^17 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (13, 17), (0, 19), (17, 13)]))
('Cluster size', 4, (x^14 + x^13 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, 3*alpha - 2*x^17 + 4*x^15 + 3*x^14 + x^13 + 3*x^11 - x^9 - 2*x^7 - 3*x^6 - 3*x^5 - 3*x^4 - 6*x^3 - 5*x^2 - 3*x - 1), set([(15, 4), (0, 19), (13, 11), (7, 17)]))
('Cluster size', 4, (x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha + x^26 - x^25 + 2*x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - 2*x^13 + x^12 - 2*x^11 - 2*x^9 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1), set([(17, 2), (0, 19), (16, 5), (3, 18)]))
('Cluster size', 4, (x^9 - x^8 - x^4 - 1, alpha - x^10 + 3*x^9 - 2*x^8 + x^7 - x^6 + x^5 - 2*x^4 - x^3 + x - 2), set([(9, 18), (13, 6), (0, 19), (12, 15)]))
('Cluster size', 4, (x^14 - x^12 + x^10 - x^8 + x^6 - x^4 - 1, alpha - x^13 + x^11 - x^9 + x^7 - x^5 + x^3), set([(18, 1), (0, 19), (6, 17), (16, 7)]))
('Cluster size', 4, (x^17 + x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (14, 7), (7, 14)]))
('Cluster size', 4, (x^12 - x^4 - 1, alpha - x^9 + x), set([(0, 19), (16, 3), (12, 11), (8, 15)]))
('Cluster size', 4, (x^14 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^6), set([(15, 4), (0, 19), (14, 14), (10, 18)]))
('Cluster size', 4, (x^13 - x^3 - 1, alpha + x^18 + x^17 - x^10 - x^8 - x^7 - x^5 - x^4 + 1), set([(13, 9), (0, 19), (16, 3), (6, 16)]))
('Cluster size', 4, (x^17 + x^16 + x^15 + x^14 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 + x^3 + x^2 + x + 1), set([(0, 19), (5, 15), (18, 1), (14, 6)]))
('Cluster size', 4, (x^10 - x^9 - 1, alpha - 1), set([(19, 0), (0, 19), (18, 10), (10, 18)]))
('Cluster size', 4, (x^9 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^8 - x^5 + x^3 - x^2 - 1), set([(11, 8), (0, 19), (8, 13), (5, 16)]))
('Cluster size', 4, (x^17 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (17, 14), (14, 17)]))
('Cluster size', 4, (x^7 - x^5 + x^3 - x - 1, alpha - x^9 + x^7 - x^6 + x^4 - x^3 + x^2 + 2*x - 1), set([(0, 19), (3, 18), (9, 12), (10, 9)]))
('Cluster size', 4, (x^9 - x^5 - 1, alpha - x^4 + 1), set([(0, 19), (10, 14), (14, 5), (9, 15)]))
('Cluster size', 4, (x^15 - x^13 - x^12 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha - x^16 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (17, 16), (15, 18)]))
('Cluster size', 4, (x^14 + x^13 - x^2 - x - 1, 5*alpha - 9*x^21 - 5*x^20 + x^19 - 5*x^18 - 4*x^17 - 4*x^15 - 5*x^14 - 4*x^13 - 5*x^12 + 5*x^11 + 4*x^9 + 5*x^8 + 8*x^7 + x^6 + 7*x^5 + 2*x^4 + 6*x^3 + 3*x^2 + 10*x + 4), set([(15, 4), (13, 7), (0, 19), (3, 17)]))
('Cluster size', 4, (x^15 + x^14 + x^11 - x^9 - x^8 - x^5 - x^4 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (13, 12), (11, 14)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^3), set([(0, 19), (11, 9), (16, 3), (6, 14)]))
('Cluster size', 4, (x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^4 - x^2 - 1, alpha + x^11 - x^10 - x^3), set([(14, 11), (15, 4), (0, 19), (7, 18)]))
('Cluster size', 4, (x^11 - x^8 - x^6 - x^4 - x^2 - 1, alpha + x^7 - x^5 - x^4), set([(11, 16), (13, 6), (0, 19), (10, 17)]))
('Cluster size', 4, (x^16 + x^13 - x^6 - x^3 - 1, alpha - 1), set([(19, 0), (9, 13), (0, 19), (13, 9)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^4), set([(0, 19), (16, 3), (7, 14), (11, 10)]))
('Cluster size', 4, (x^16 - x^15 + x^13 - x^12 + x^10 - x^9 + x^7 - x^6 + x^4 - x^3 - 1, alpha - 1), set([(19, 0), (4, 18), (0, 19), (18, 4)]))
('Cluster size', 4, (x^14 - x^6 - x^4 - x^2 - 1, alpha + x^13 - x^11 - x^5), set([(8, 17), (14, 11), (0, 19), (16, 3)]))
('Cluster size', 4, (x^11 + x^10 + x^7 - x^5 - x^4 - x - 1, alpha - x^13 - x^12 - x^11 - x^10 + x^6 + x^5 + x^3 + x + 1), set([(0, 19), (7, 14), (9, 12), (14, 5)]))
('Cluster size', 4, (x^18 + x^17 + x^16 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (16, 14), (0, 19), (14, 16)]))
('Cluster size', 4, (x^13 - x^4 - x^2 - 1, alpha - x^18 + x^17 + x^16 + x^11 - x^8 - x^6 - x^4 - x^3 - x^2), set([(15, 4), (0, 19), (13, 10), (6, 17)]))
('Cluster size', 4, (x^17 - x^16 + x^15 - x^14 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(18, 15), (19, 0), (0, 19), (15, 18)]))
('Cluster size', 4, (x^15 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^12 - x^11), set([(0, 19), (14, 18), (16, 3), (15, 17)]))
('Cluster size', 4, (x^18 + x^17 + x^16 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (16, 4), (4, 16)]))
('Cluster size', 4, (x^12 - x^7 - 1, alpha - 1), set([(19, 0), (14, 12), (0, 19), (12, 14)]))
('Cluster size', 4, (x^15 - x^13 + x^11 - x^9 + x^7 - x^5 + x^3 - x - 1, alpha - x^16 + x + 1), set([(18, 1), (0, 19), (3, 18), (17, 4)]))
('Cluster size', 4, (x^15 - x^4 - x^2 - 1, alpha + x^22 + x^16 - x^13 - x^11 - x^9 - x^7 - x^5 - x^3 + x^2 - x + 1), set([(17, 2), (0, 19), (15, 8), (6, 17)]))
('Cluster size', 4, (x^16 - x^6 - x^4 - x^2 - 1, alpha - x^15 + x^5 + x^3 + x), set([(8, 17), (16, 9), (0, 19), (18, 1)]))
('Cluster size', 4, (x^13 + x^12 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^16 + 2*x^15 + x^13 + 2*x^12 - 2*x^8 - 2*x^7 - 3*x^6 - 3*x^5 - 3*x^4 - 3*x^3 - 3*x^2 - x - 2), set([(0, 19), (12, 12), (14, 5), (7, 17)]))
('Cluster size', 4, (x^4 - x^3 - 1, alpha + 15*x^4 - 12*x^3 - 6*x^2 + 4*x - 17), set([(7, 12), (4, 18), (0, 19), (6, 16)]))
('Cluster size', 4, (x^7 - x^6 - x^4 - x^2 - 1, alpha + 2*x^6 - 3*x^5 - x^3 + x^2 - x + 1), set([(8, 17), (9, 10), (0, 19), (7, 18)]))
('Cluster size', 4, (x^17 + x^16 - x^14 - x^13 - x^12 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (16, 16), (18, 1), (15, 17)]))
('Cluster size', 4, (x^17 - x^16 + x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 + x^3 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (18, 3), (3, 18)]))
('Cluster size', 4, (x^10 - x^8 + x^6 - x^4 - 1, alpha + x^9 - x^7 - x), set([(0, 19), (6, 17), (12, 11), (14, 5)]))
('Cluster size', 4, (x^9 + x^8 + x^7 - x^3 - x^2 - x - 1, alpha - x^7 - x^6 - x^2 + 2*x + 1), set([(0, 19), (7, 13), (10, 9), (4, 16)]))
('Cluster size', 4, (x^13 - x^4 - x^3 - x^2 - x - 1, alpha + x^19 - x^17 + x^16 - x^10 - x^8 - x^7 - x^6 - x^3 - 1), set([(13, 10), (0, 19), (5, 18), (14, 5)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 + x^7 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 - x^13 - x^12 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (7, 14), (13, 8)]))
('Cluster size', 4, (x^5 - x^3 - 1, alpha - x^4 + x^3 + 3*x^2 - x - 3), set([(8, 11), (5, 17), (0, 19), (6, 16)]))
('Cluster size', 4, (x^14 + x^13 + x^12 + x^11 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^7 - x^3), set([(15, 4), (0, 19), (7, 15), (11, 11)]))
('Cluster size', 4, (x^17 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^3 + x^2 + x + 1), set([(17, 6), (0, 19), (5, 18), (18, 1)]))
('Cluster size', 4, (x^17 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(8, 17), (19, 0), (0, 19), (17, 8)]))
('Cluster size', 4, (x^12 + x^11 + x^10 + x^9 - x^4 - x^3 - x^2 - x - 1, alpha - x^11 - x^10 - x^9 - x^8 + x^7 + x^2 + x + 1), set([(13, 6), (9, 11), (0, 19), (5, 15)]))
('Cluster size', 4, (x^17 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(0, 19), (8, 18), (18, 1), (17, 9)]))
('Cluster size', 4, (x^11 + x^10 + x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha + x^12 + x^11 + 2*x^10 + x^9 - x^6 - x^4 - 2*x^3 - x^2 - 2*x), set([(0, 19), (5, 15), (12, 7), (8, 12)]))
('Cluster size', 4, (x^6 - x^5 - 1, alpha + 2*x^8 - 3*x^7 + 2*x^6 - x^5 - x^4 + 2*x^3 - 3*x^2 + x - 1), set([(11, 8), (0, 19), (6, 18), (10, 14)]))
('Cluster size', 4, (x^15 + x^14 - x^12 + x^10 - x^8 + x^6 - x^4 - x - 1, alpha - x^16 - x^15 - x^14 + x^3 + x^2 + x + 1), set([(18, 1), (0, 19), (15, 6), (5, 16)]))
('Cluster size', 4, (x^6 + x^5 - x^2 - x - 1, alpha - 4*x^5 - 2*x^4 + 3*x^3 - 2*x^2 + 3*x + 4), set([(7, 12), (0, 19), (3, 17), (5, 15)]))
('Cluster size', 4, (x^13 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^14 - 2*x^13 + 2*x^9 + 2*x^8 + 3*x^7 + 3*x^6 + 3*x^5 + 2*x^4 + 3*x^3 + 3*x^2 + 3*x + 2), set([(9, 18), (13, 14), (0, 19), (14, 5)]))
('Cluster size', 4, (x^6 - x - 1, alpha + 21*x^8 + 4*x^7 + 17*x^6 + 7*x^5 - 6*x^4 - 16*x^3 - 29*x^2 - 18*x - 26), set([(7, 12), (0, 19), (6, 14), (2, 18)]))
('Cluster size', 4, (x^16 - x - 1, alpha + 2*x^28 + x^27 + 2*x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 - x^14 - 2*x^13 - 3*x^12 - 3*x^11 - 3*x^10 - 2*x^9 - 2*x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - 2*x - 2), set([(17, 2), (0, 19), (16, 4), (2, 18)]))
('Cluster size', 4, (x^14 - x^9 - x^6 - x^3 - 1, alpha - x^12 + x^7 + x^4 + x), set([(17, 2), (0, 19), (14, 14), (12, 16)]))
('Cluster size', 4, (x^16 + x^13 + x^10 - x^9 - x^6 - x^3 - 1, alpha - 1), set([(19, 0), (12, 10), (0, 19), (10, 12)]))
('Cluster size', 4, (x^8 - x^2 - 1, alpha - 7*x^9 - 2*x^7 + x^5 + 6*x^3 + 10*x), set([(8, 13), (0, 19), (4, 17), (10, 9)]))
('Cluster size', 4, (x^14 - x^11 - x^10 - x^9 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^11 - x^10 - x^8), set([(15, 4), (12, 18), (0, 19), (14, 16)]))
('Cluster size', 4, (x^15 + x^14 + x^13 + x^12 + x^11 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^13 - x^8 - x^6), set([(11, 12), (0, 19), (9, 14), (16, 3)]))
('Cluster size', 4, (x^17 + x^16 - x^2 - x - 1, alpha - x^16 - x^15 + x + 1), set([(0, 19), (3, 17), (18, 1), (16, 4)]))
('Cluster size', 4, (x^18 + x^17 - x^8 - x^7 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - 1), set([(19, 0), (0, 19), (9, 17), (17, 9)]))
('Cluster size', 4, (x^9 + x^8 - x^4 - x^3 - x^2 - x - 1, alpha - 2*x^10 - 3*x^9 - 2*x^8 - x^7 + x^6 + 2*x^5 + 2*x^4 + 4*x^3 + 4*x^2 + 4*x + 2), set([(5, 17), (0, 19), (10, 9), (8, 14)]))
('Cluster size', 4, (x^15 + x^13 - x^12 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 + x^10 + x^8 + x^6 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (14, 15), (13, 16)]))
('Cluster size', 4, (x^11 - x^7 - 1, alpha - x^10 + x^6), set([(11, 15), (0, 19), (18, 1), (14, 12)]))
('Cluster size', 4, (x^15 - x^2 - x - 1, alpha - x^25 + x^24 + x^21 + x^13 - x^9 - x^8 - x^7 - x^6 - 1), set([(0, 19), (16, 3), (3, 18), (15, 6)]))
('Cluster size', 4, (x^7 - x^3 - x^2 - x - 1, alpha + 2*x^8 + x^5 - 3*x^4 - 2*x^3 - 2*x^2 - 2*x - 1), set([(12, 7), (0, 19), (11, 14), (7, 18)]))
('Cluster size', 4, (x^16 + x^14 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^15 - x^13 + x^7 + x^5 + x^3 + x), set([(10, 15), (14, 11), (0, 19), (18, 1)]))
('Cluster size', 4, (x^17 + x^16 + x^15 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha - x^16 - x^15 - x^14 + x^5 + x^4 + x^3 + x^2 + x + 1), set([(15, 8), (0, 19), (7, 16), (18, 1)]))
('Cluster size', 4, (x^17 + x^15 + x^13 - x^12 + x^11 - x^10 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(14, 11), (19, 0), (0, 19), (11, 14)]))
('Cluster size', 4, (x^17 + x^15 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (9, 14), (14, 9)]))
('Cluster size', 4, (x^9 - x^4 - x^2 - 1, alpha + 3*x^10 - x^9 - x^7 - 3*x^5 + x^4 - 2*x^3 + 2*x^2 - 4*x + 2), set([(11, 8), (0, 19), (9, 14), (6, 17)]))
('Cluster size', 4, (x^15 + x^14 + x^13 - x^4 - x^3 - x^2 - x - 1, alpha + x^20 + x^19 + 2*x^18 + x^17 + x^16 + x^15 + x^14 + 2*x^13 - x^10 - x^9 - x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 2*x^4 - 2*x^3 - 2*x^2 - x - 1), set([(0, 19), (16, 3), (13, 8), (5, 16)]))
('Cluster size', 4, (x^15 + x^13 + x^11 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - x^13 - x^11 - x^9 - x^7 + x^6 + x^4 + x^2 + 1), set([(17, 2), (0, 19), (10, 11), (9, 12)]))
('Cluster size', 4, (x^17 - x^16 + x^15 - x^14 + x^13 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (5, 18), (18, 5)]))
('Cluster size', 4, (x^13 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 + x^5 - x^4 - x^2 - 1, alpha + x^17 + x^16 + x^15 + x^14 + x^12 + x^10 - x^9 - 2*x^7 - 2*x^5 - x^4 - 2*x^3 - 2*x), set([(15, 4), (0, 19), (12, 9), (5, 16)]))
('Cluster size', 4, (x^15 - x^9 - x^6 - x^3 - 1, alpha - x^14 + x^8 + x^5 + x^2), set([(0, 19), (15, 13), (18, 1), (12, 16)]))
('Cluster size', 4, (x^17 + x^15 + x^13 + x^11 - x^10 + x^9 - x^8 - x^6 - x^4 - x^2 - 1, alpha - 1), set([(19, 0), (0, 19), (12, 9), (9, 12)]))
('Cluster size', 4, (x^13 + x^12 + x^11 + x^10 - x^6 - x^5 - x^4 - x^3 - x^2 - x - 1, alpha + x^9 - x^5 - x^2), set([(0, 19), (7, 15), (14, 5), (10, 12)]))