mod=10**9+7

# 行列の計算（numpyを使えないとき,modを使用）
def prod(A,B,k,l,m):# A:k*l,B:l*m
    C=[[None for i in range(m)] for j in range(k)]

    for i in range(k):
        for j in range(m):
            ANS=0
            for pl in range(l):
                ANS=(ANS+A[i][pl]*B[pl][j])%mod

            C[i][j]=ANS

    return C

def plus(A,B,k,l):# a,B:k*l
    C=[[None for i in range(l)] for j in range(k)]

    for i in range(k):
        for j in range(l):
            C[i][j]=(A[i][j]+B[i][j])%mod

    return C

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

A=[[0]*6 for i in range(6)]
A[0][0]=INV
A[0][4]=INV
A[0][5]=INV

A[1][1]=INV
A[1][3]=INV
A[1][5]=INV

A[2][2]=INV
A[2][3]=INV
A[2][4]=INV

A[3][0]=1
A[4][1]=1
A[5][2]=1

POWA=[A]
for i in range(60):
    POWA.append(prod(POWA[-1],POWA[-1],6,6,6)) # ベキを求めて

T=int(input())
for tests in range(T):
    n=int(input())

    X=[[1,0,0,0,0,0]]

    while n:
        X=prod(X,POWA[n.bit_length()-1],1,6,6) # n乗の場合
        n-=1<<(n.bit_length()-1)

    print(X[0][0])