import sys
readline = sys.stdin.readline

def Matprod(A, B, mod):
    N = len(A)
    temp = [[0] * N for i in range(N)]
    for i in range(N):
        for j in range(N):
            for k in range(N):
                temp[i][j] += A[i][k] * B[k][j]
                temp[i][j] %= mod
    return temp

def Matpow(A, M, mod):
    N = len(A)
    Mat = [[0] * N for i in range(N)]
    for i in range(N):
        Mat[i][i] = 1
         
    for i in range(64):
        if (M >> i) & 1:
            Mat = Matprod(Mat, A, mod)
        A = Matprod(A, A, mod)
    return Mat  


T = int(readline())
mod = 10 ** 9 + 7
inv = pow(3, mod - 2, mod)
M = [[inv, 0, 0, inv, 0, inv], 
     [1, 0, 0, 0, 0, 0],
     [0, inv, inv, 0,  0, inv], 
     [0, 0, 1, 0, 0, 0],
     [0, inv, 0, inv, inv, 0], 
     [0, 0, 0, 0, 1, 0],]
for _ in range(T):
    N = int(readline())
    A = Matpow(M, N, mod)
    print(A[0][0])