// By AmmarDab3an - Aleppo University

#include "bits/stdc++.h"

using namespace std;

#define int int64_t
#define ll  int64_t

// typedef unsigned int        uint;
// typedef long long int       ll;
// typedef unsigned long long  ull;
typedef pair<int, int>    pii;
typedef pair<ll, ll>      pll;
typedef pair<int, pii>    iii;
typedef pair<ll, pll>     lll;
typedef vector<int>       vi;
typedef vector<ll>        vl;
typedef vector<pii>       vpii;
typedef vector<pll>       vpll;

#define endl '\n'
#define fastIO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define freopenI freopen("input.txt", "r", stdin);
#define freopenO freopen("output.txt", "w", stdout);

const int INF = 0x3f3f3f3f;
const ll INFLL = 0x3f3f3f3f3f3f3f3f;
const int MOD = 1e9 + 7;
const double EPS = 1e-9;
const double  PI = acos(-1);

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
int rand(int x, int y) {
	return uniform_int_distribution<int>(x, y)(rng);
}

int mul(int a, int b){
	int ret = (1ll * (a%MOD) * (b%MOD)) % MOD;
	return (ret+MOD)%MOD;
}
 
int add(int a, int b){
	int ret = (1ll * (a%MOD) + (b%MOD)) % MOD;
	return (ret+MOD)%MOD;
}
 
int pow_exp(int n, int p){
	if(!p) return 1;
	if(p&1) return mul(n, pow_exp(n, p-1));
	int tmp = pow_exp(n, p/2);
	return mul(tmp, tmp);
}
 
const int  MAX = 2e5 + 10;
const int NMAX = 2e5 + 10;
const int MMAX = 2e5 + 10;
const int LOG_MAX = ceil(log2(double(NMAX)));
const int BLOCK = ceil(sqrt(double(NMAX)));

int32_t main(){
    
    fastIO;
    
#ifdef LOCAL
    freopenI;
    freopenO;
#endif

    // freopen("name.in", "r", stdin);
    
    int t; cin >> t; while(t--){

		int n;
		cin >> n;
		
		vi vec(n);
		for(auto &i : vec) cin >> i;
		
		int sm = 0;
		multiset<pii> mst;
		
		for(int i = 0 ; i < n; i++){
			mst.insert({vec[i], i});
			sm += vec[i];	
		}
		
		for(int _k_ = 0; _k_ < n && !mst.empty(); _k_++){
			
			int avg = sm / mst.size();
			if(sm%(mst.size())==0) avg--;
			
			while(!mst.empty() && (mst.begin()->first) <= avg){
				sm -= mst.begin()->first;
				mst.erase(mst.begin());
			}
		}
		
		vpii tmp;
		for(auto p : mst){
			tmp.push_back({p.second, p.first});
		}
		
		sort(tmp.begin(), tmp.end());
		
		if(tmp.empty()){
			cout << -1 << endl;
		}
		else{
			for(auto p : tmp){
				cout << p.second << ' ';
			}
			cout << endl;
		}
    }	
}