#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t--) {
    long long n;
    cin >> n;
    long long a[n];
    for (int i = 0; i < n; i++) {
      cin >> a[i];
    }
    int i = 2;
    long long sq1 = a[0] * a[0];
    long long sq2 = a[1] * a[1];
    long long sq3 = a[i] * a[i];
    while (i < n && sq1 + sq2 > sq3) {
      i++;
      sq3 = a[i] * a[i];
    }
    if (i == n) {
      cout << "-1";
    } else {
      cout << "1"
           << " 2"
           << " " << i + 1;
    }
    cout << endl;
  }
}
