from sys import stdin

def matdot(a,b,mod):
    matsize = len(a)
    val = [[0 for i in range(matsize)] for j in range(matsize)]
    for i in range(matsize):
        for j in range(matsize):
            for k in range(matsize):
                val[i][j] = (val[i][j] + a[i][k] * b[k][j]) % mod
    return val

def powmodmat(n,pow,mod):
    matsize = len(n)
    val = [[0 for i in range(matsize)] for j in range(matsize)]
    for i in range(matsize):
        val[i][i] = 1
    while pow > 0:
        if pow & 1:
            val = matdot(val, n, mod)
        pow = pow >> 1
        n = matdot(n, n, mod)
    return val

t, *a = map(int, stdin.read().split())
p = 10**9+7
inv3 = (p+1) // 3
mat = [[inv3,0,0,0,inv3,inv3],[0,inv3,0,inv3,0,inv3],[0,0,inv3,inv3,inv3,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]]

for i in range(t):
    kari = powmodmat(mat,a[i],p)
    print(kari[0][0])