#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  int l = 0;
  while (l < t) {
    int n;
    cin >> n;
    int m = 0;
    int arr[n];
    while (m < n) {
      cin >> arr[m];
      m++;
    };
    int next = 0;
    for (int i = 1; i < n; i++) {
      if (next) break;
      for (int j = 2; j < n; j++) {
        if (next) break;
        for (int k = 3; k < n; k++) {
          int p = (arr[i] + arr[j] + arr[k]) / 2;
          int area = sqrt(p * (p - arr[i]) * (p - arr[j]) * (p - arr[k]));
          if (area == 0) {
            cout << i << " " << j << " " << k << "\n";
            next = 1;
            break;
          };
        }
      }
    };
    if (next == 0) cout << "-1" << endl;
    l++;
  }
  return 0;
}
