mod = 10**9 + 7

def mat_mul(X,Y):
    n,m = len(X),len(Y[0])
    res = [[0 for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            for k in range(len(Y)):
                res[i][j] += X[i][k] * Y[k][j]
                res[i][j] %= mod
    return res

i3 = pow(3,mod-2,mod)

A = [
[i3,0,0,i3],
[0,i3,2*i3,i3],
[1,0,0,0],
[0,1,0,0]
]

def solve(N):
    assert 1 <= N <= 10**9
    base = [[1],[0],[0],[0]]
    mat = [[int(i==j) for j in range(4)] for i in range(4)]
    tmp = [[A[i][j] for j in range(4)] for i in range(4)]
    while N:
        if N&1:
            mat = mat_mul(tmp,mat)
        tmp = mat_mul(tmp,tmp)
        N >>= 1
    base = mat_mul(mat,base)
    return base[0][0]

T = int(input())
assert 1 <= T <= 3000
for _ in range(T):
    print(solve(int(input())))