import numpy as np

MOD = 10 ** 9 + 7
i3 = pow(3, -1, MOD)


def pow_matrix_mod(x, n, mod=MOD):
    if not n:
        return np.eye(len(x), dtype=object)
    if n % 2 == 0:
        return pow_matrix_mod(x @ x % mod, n // 2) % mod
    else:
        return x @ pow_matrix_mod(x @ x % mod, (n - 1) // 2) % mod


def solve(N):
    x = np.array([1, 0, 0, 0, 0, 0], dtype=object)
    A = np.array([[i3, 0, 0, 0, i3, i3],
                  [0, i3, 0, i3, 0, i3],
                  [0, 0, i3, i3, i3, 0],
                  [1, 0, 0, 0, 0, 0],
                  [0, 1, 0, 0, 0, 0],
                  [0, 0, 1, 0, 0, 0]], dtype=object)
    return (x @ pow_matrix_mod(A, N))[0] % MOD


T = int(input())
for _ in range(T):
    print(solve(int(input())))