import sys
#input = sys.stdin.readline
input = sys.stdin.buffer.readline

def mat_dot(A, B, MOD=pow(10,9)+7):
  #A:n*m行列, B:m*l行列
  n, m, l = len(A), len(A[0]), len(B[0])
  X = [[0]*l for i in range(n)]
  for i in range(n):
    for j in range(l):
      temp = 0
      for k in range(m):
        temp = (temp + A[i][k] * B[k][j]) % MOD
      X[i][j] = temp
  return X
 
def mat_pow(A, x, MOD):
  #A^x
  n = len(A)
  X = [[0] * n for i in range(n)]
  for i in range(n):
    X[i][i] = 1
  for i in range(x.bit_length()):
    if (x>>i)&1:
      X = mat_dot(X, A, MOD)
    A = mat_dot(A, A, MOD)
  return X

def main():
    T = int(input()); MOD = pow(10,9) + 7
    inv3 = pow(3,MOD-2,MOD)
    X = [[inv3,0,0,1,0,0],[0,inv3,0,0,1,0],[0,0,inv3,0,0,1],[0,inv3,inv3,0,0,0],[inv3,0,inv3,0,0,0],[inv3,inv3,0,0,0,0]]
    for _ in range(T):
        N = int(input())
        v = [[1],[0],[0],[0],[0],[0]]
        XN = mat_pow(X,N,MOD)
        g = mat_dot(XN,v,MOD)
        #print(XN)
        print(g[0][0])


if __name__ == '__main__':
    main()