local mod = 1000000007
local mfl = math.floor

local function bmul(x, y)
  local x1, y1 = mfl(x / 31623), mfl(y / 31623)
  local x0, y0 = x - x1 * 31623, y - y1 * 31623
  return (x1 * y1 * 14122 + (x1 * y0 + x0 * y1) * 31623 + x0 * y0) % mod
end

local function badd(x, y)
  return (x + y) % mod
end

local function bsub(x, y)
  return x < y and x - y + mod or x - y
end

--[[
a[i]: at A
b[i]: at B or C
c[i]: moving to A
d[i]: moving to B or C

a[i + 1] = 1/3 * a[i] + c[i]
b[i + 1] = 1/3 * b[i] + d[i]
c[i + 1] = 1/3 * b[i]
d[i + 1] = 2/3 * a[i] + 1/3 * b[i]
]]

local mat = {}
local tmpmat = {}
for i = 1, 4 do
  mat[i] = {}
  tmpmat[i] = {}
end
local vec = {}
local tmpvec = {}

local function matmat()
  for i = 1, 4 do
    for j = 1, 4 do
      local v = 0
      for k = 1, 4 do
        v = badd(v, bmul(mat[i][k], mat[k][j]))
      end
      tmpmat[i][j] = v
    end
  end
  for i = 1, 4 do for j = 1, 4 do
    mat[i][j] = tmpmat[i][j]
  end end
end

local function matvec()
  for i = 1, 4 do
    local v = 0
    for k = 1, 4 do
      v = badd(v, bmul(mat[i][k], vec[k]))
    end
    tmpvec[i] = v
  end
  for i = 1, 4 do
    vec[i] = tmpvec[i]
  end
end
local div3 = 333333336
local div3_2 = 666666672
local half = 500000004
local function reset()
  vec[1], vec[2], vec[3], vec[4] = 1, 0, 0, 0
  for i = 1, 4 do for j = 1, 4 do
    mat[i][j] = 0
  end end
  mat[1][1], mat[1][3] = div3, 1
  mat[2][2], mat[2][4] = div3, 1
  mat[3][2] = div3
  mat[4][1], mat[4][2] = div3_2, div3
end
local q = io.read("*n")
for iq = 1, q do
  local n = io.read("*n")
  reset()
  while 0 < n do
    if n % 2 == 1 then
      matvec()
    end
    matmat()
    n = mfl(n / 2)
  end
  print(vec[1])
end