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#pragma GCC optimize("O3")
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// using namespace __gnu_pbds;
// gp_hash_table<int, int> mapka;

using namespace std;
#define PB push_back
#define MP make_pair
#define LL long long
// #define int LL
#define FOR(i,a,b) for(int i = (a); i <= (b); i++)
#define RE(i,n) FOR(i,1,n)
#define REP(i,n) FOR(i,0,(int)(n)-1)
#define R(i,n) REP(i,n)
#define VI vector<int>
#define PII pair<int,int>
#define LD long double
#define FI first
#define SE second
#define st FI
#define nd SE
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())

template<class C> void mini(C &a4, C b4) { a4 = min(a4, b4); }
template<class C> void maxi(C &a4, C b4) { a4 = max(a4, b4); }

template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<'='<<h<<endl; }
template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) {
  while(*sdbg!=',')cerr<<*sdbg++;
  cerr<<'='<<h<<','; _dbg(sdbg+1, a...);
}

template<class T> ostream &operator<<(ostream& os, vector<T> V) {
  os << "["; for (auto vv : V) os << vv << ","; return os << "]";
}
template<class L, class R> ostream &operator<<(ostream &os, pair<L,R> P) {
  return os << "(" << P.st << "," << P.nd << ")";
}

#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (__VA_ARGS__)
#define cerr if(0)cout
#endif

struct Sol{
  vector<vector<int>> d;
  vector<int> deg;
  int akres;
  vector<int> czwyn;
  vector<int> pok;
  vector<int> czpok;
  int n,m,k;
  void pokryj(int x){
    if(czpok[x])return;
    czpok[x] = 1;
    pok.PB(x);
    for(int el:d[x]){
      deg[el]--;
    }
  }
  void cof(){
    int x = pok.back();
    pok.pop_back();
    czpok[x] = 0;
    for(int el:d[x]){
      deg[el]++;
    }
  }
  set<PII> kra;
//   int ILE = 0;
  void bt(int kt,int il){
    while(kt != n && (deg[kt] < 3 || czpok[kt] == 1))kt++;
    if(kt == n){
//       ILE ++;
      int pom = 0;
      vector<int> doda;
      vector<int> vis = czpok;
      R(i,n)if(!vis[i] && deg[i] == 1){
        int ak = i;
        vector<int> sci;
        while(1){
          vis[ak] = 1;
          sci.PB(ak);
          int nast = -1;
          for(int el:d[ak])if(!vis[el]){
            nast = el;
            break;
          }
          if(nast == -1)break;
          ak = nast;
        }
        pom += SZ(sci) / 2;
        if(SZ(sci) & 1){
          for(int j = 1; j < SZ(sci);j+=2){
            doda.PB(sci[j]);
          }
        }else{
          for(int el:sci){
            doda.PB(el);
          }
        }
      }
      R(i,n)if(!vis[i] && deg[i] == 2){
        int ak = i;
        vector<int> sci;
        while(1){
          vis[ak] = 1;
          sci.PB(ak);
          int nast = -1;
          for(int el:d[ak])if(!vis[el]){
            nast = el;
            break;
          }
          if(nast == -1)break;
          ak = nast;
        }
        pom += (SZ(sci) + 1) / 2;
        for(int el:sci){
          doda.PB(el);
        }
      }
      
      if(il + pom < akres){
        akres = il + pom;
        R(i,n)czwyn[i] = 0;
      }
      if(il + pom == akres){
        for(int el:pok){
          czwyn[el] = 1;
        }
        for(int el:doda){
          czwyn[el] = 1;
        }
      }
      return;
    }
    if(il + 1 <= akres){
      pokryj(kt);
      bt(kt + 1, il + 1);
      cof();
    }
    if(il + deg[kt] <= akres){
      int pom = SZ(pok);
      int degg = deg[kt];
      for(int el:d[kt])pokryj(el);
      assert(pom + degg == SZ(pok));
      bt(kt + 1, il + degg);
      R(i,degg)cof();
    }
  }
  void run(){
    cin >> n >> m >> k;
    vector<int> p(n),q(n);
    R(i,n)p[i] = i;
    random_shuffle(ALL(p));
    R(i,n)q[p[i]] = i;
    akres = k + 1;
    d.resize(n);
    deg.resize(n);
    czwyn.resize(n);
    czpok.resize(n);
    R(i,m){
      int a,b;
      cin >> a >> b;
      a--;b--;
      a = p[a];
      b = p[b];
      if(a > b)swap(a,b);
      if(kra.insert({a,b}).SE){
        d[a].PB(b);
        d[b].PB(a);
        deg[a]++;
        deg[b]++;
      }
    }
    vector<int> dopok;
    R(i,n)if(deg[i] > k)dopok.PB(i);
    for(int el:dopok)pokryj(el);
    if(SZ(dopok) <= k)
      bt(0,SZ(dopok));
    if(akres > k){
      cout << "-1\n";
    }else{
      cout << akres << " ";
      int ile = 0;
      R(i,n)ile += czwyn[i];
      cout << ile << "\n";
      vector<int> res;
      R(i,n)if(czwyn[i]){
        res.PB(q[i]);
      }
      sort(ALL(res));
      for(int el:res){
        cout << el + 1 << " ";
      }
      cout << "\n";
    }
//     cout << ILE << "\n";
  }
};
int32_t main(){
  srand(57);
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << fixed << setprecision(11);
  cerr << fixed << setprecision(6);
  int t;
  cin >> t;
  while(t--){
    Sol sol;
    sol.run();
  }
}