const MOD: usize = 1e9 as usize + 7;

fn power(base: usize, times: usize) -> usize {
    if times == 0 { return 1usize; }
    if times == 1 { return base; }
    let temp = power(base, times/2);
    temp * temp % MOD * power(base, times%2) % MOD
}

fn power_mat(target: &Vec<Vec<usize>>, times: usize) -> Vec<Vec<usize>> {
    let n = target.len();
    if times == 0 {
        let mut ret = vec![vec![0usize; n]; n];
        for i in 0..n { ret[i][i] = 1; }
        return ret;
    }
    if times == 1 {
        return target.clone();
    }
    let temp = power_mat(target, times/2);
    if times % 2 == 1 {
        calc_mat(&calc_mat(&temp, &temp), target)
    } else {
        calc_mat(&temp, &temp)
    }
}

fn calc_mat(left: &Vec<Vec<usize>>, right: &Vec<Vec<usize>>) -> Vec<Vec<usize>> {
    let sizei = left.len();
    let sizej = right[0].len();
    let sizek = left[0].len();
    let mut ret = vec![vec![0usize; sizej]; sizei];
    for i in 0..sizei {
        for j in 0..sizej {
            ret[i][j] = (0..sizek).map(|k| left[i][k] * right[k][j] % MOD).sum::<usize>() % MOD;
        }
    }
    ret
}

fn solve(mod3val: usize) -> usize {
    let mut n = String::new();
    std::io::stdin().read_line(&mut n).ok();
    let n: usize = n.trim().parse().unwrap();
    let op = vec![
        vec![mod3val,0,0,0,mod3val,mod3val],
        vec![0,mod3val,0,mod3val,0,mod3val],
        vec![0,0,mod3val,mod3val,mod3val,0],
        vec![1,0,0,0,0,0],
        vec![0,1,0,0,0,0],
        vec![0,0,1,0,0,0]
    ];
    let op = power_mat(&op, n);
    op[0][0]
}

fn main() {
    let mut t = String::new();
    std::io::stdin().read_line(&mut t).ok();
    let t: usize = t.trim().parse().unwrap();
    let mut result = Vec::with_capacity(t);
    let mod3val = power(3, MOD-2);
    for _ in 0..t {
        result.push(solve(mod3val));
    }
    for &v in result.iter() {
        println!("{}", v);
    }
}