T = int(input())

P = 10 ** 9 + 7
n = 6
def seki(x,y):
    n = 6
    l = [[0] * n for _ in range(n)]
    for i in range(n):
        for j in range(n):
            for k in range(n):
                l[i][j] += x[i][k] * y[k][j] % P
            l[i][j] %= P
    return l
inv = pow(3,P-2,P)

R = [[0] * n for _ in range(n)]
e = [[0] * n for _ in range(n)]
for i in range(n):
    e[i][i] = 1
for i in range(3):
    R[i][i+3] = 1
    R[i+3][i+3] = inv
for i in range(3):
    for j in range(3):
        if i == j:continue
        R[i + 3][j] = inv
for _ in range(T):
    N = int(input())
    ee = [[0] * n for _ in range(n)]
    RR = [[0] * n for _ in range(n)]
    for i in range(n):
        for j in range(n):
            ee[i][j] = e[i][j]
            RR[i][j] = R[i][j]
    while N:
        if N & 1:
            ee = seki(ee,RR)
        RR = seki(RR,RR)
        N >>= 1
    ans = ee[0][0] + ee[0][3] * inv
    print(ans % P)