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/*** includes / typedefs / constans ***/

#include <algorithm>
#include <cstdint>
#include <map>
#include <cmath>
#include <queue>
#include <set>
#include <cstdio>
#include <cstdlib>
#include <string>
#include <vector>
#include <initializer_list>

using std::initializer_list;
using std::make_pair;
using std::map;
using std::multiset;
using std::pair;
using std::priority_queue;
using std::reverse;
using std::set;
using std::sort;
using std::string;
using std::swap;
using std::vector;

typedef int8_t     int8;
typedef int16_t    int16;
typedef int32_t    int32;
typedef int64_t    int64;
typedef __int128_t int128;

const int32 oo = 1e9;
const int64 ooo = 1e18;

/*** Input / Output Section ***/

#define scan(args...) [&]{ return scanf(args); }();

inline void read(int32& val)
{
    scan("%d", &val);
}

inline void read(int64& val)
{
    scan("%ld", &val);
}

inline void read(double& val)
{
    scan("%lf", &val);
}

inline void read(string& val, int length = 1e6)
{
    char tmp[length+1];

    scan("%s", tmp);

    val = tmp;
}

template <class S, class T>
inline void read(S& a, T& b)
{
    read(a);
    read(b);
}

template <class S>
inline void read(vector<S> &v, int n)
{
    v.resize(n);
    for (int i = 0; i < n; i++)
        read(v[i]);
}

template <class S, class T, class U>
inline void read(S& a, T& b, U& c)
{
    read(a);
    read(b);
    read(c);
}

template <class S, class T, class U, class V>
inline void read(S& a, T& b, U& c, V& d)
{
    read(a);
    read(b);
    read(c);
    read(d);
}

template <class S, class T, class U, class V, class W>
inline void read(S& a, T& b, U& c, V& d, W& e)
{
    read(a);
    read(b);
    read(c);
    read(d);
    read(e);
}

inline void write(int32 val)
{
    printf("%d ", val);
}

inline void write(int64 val)
{
    printf("%ld ", val);
}

inline void write(double val)
{
    printf("%lf ", val);
}

inline void write(const string& val)
{
    printf("%s ", val.c_str());
}

template<class S>
inline void write(const vector<S>& val)
{
    for (S el : val)
        write(el);
}

template<class S>
inline void writeln(const S& a)
{
    write(a);
    printf("\n");
}

template<class S, class T>
inline void writeln(const S& a, const T& b)
{
    write(a);
    write(b);
    printf("\n");
}

template<class S, class T, class U>
inline void writeln(const S& a, const T& b, const U& c)
{
    write(a);
    write(b);
    write(c);
    printf("\n");
}

template<class S, class T, class U, class V>
inline void writeln(const S& a, const T& b, const U& c, const V& d)
{
    write(a);
    write(b);
    write(c);
    write(d);
    printf("\n");
}

template<class S, class T, class U, class V, class W>
inline void writeln(const S& a, const T& b, const U& c, const V& d, const W& e)
{
    write(a);
    write(b);
    write(c);
    write(d);
    write(e);
    printf("\n");
}

/*** basic utilities ***/

inline int64 castformorebits(int32 a)
{
    return (int64)a;
}

inline int128 castformorebits(int64 a)
{
    return (int128)a;
}

template <class INT>
inline INT abs(INT a)
{
    if (a >= 0) return a;
    return -a;
}

template <typename T>
T minimum(std::initializer_list<T>&& l)
{
    T answer = *(l.begin());

    for (auto a : l)
        if (a < answer)
            answer = a;

    return answer;
}

template <typename T>
T minimum(const vector<T>& l)
{
    T answer = *(l.begin());

    for (auto a : l)
        if (a < answer)
            answer = a;

    return answer;
}

template <typename T>
T maximum(std::initializer_list<T>&& l)
{
    T answer = *(l.begin());

    for (auto a : l)
        if (a > answer)
            answer = a;

    return answer;
}

template <typename T>
T maximum(const vector<T>& l)
{
    T answer = *(l.begin());

    for (auto a : l)
        if (a > answer)
            answer = a;

    return answer;
}

/*** bits manipulation ***/

template <class INT>
inline bool is_power_of_2(INT num)
{
    return num && !(num & (num - 1));
}

template <class INT>
inline INT rightmost_bit(INT num)
{
    return num & -num;
}

template <class INT>
inline INT leftmost_bit(INT num)
{
    while (!is_power_of_2(num))
        num -= rightmost_bit(num);
    return num;
}

template <class INT>
inline bool is_set(INT mask, int pos)
{
    return (mask & (INT(1) << pos));
}

template <class INT>
inline INT mask_set(INT mask, int pos)
{
    return mask | (INT(1) << pos);
}

template <class INT>
inline INT mask_unset(INT mask, int pos)
{
    return mask & (~(INT(1) << pos));
}

/*** code ***/

int t;
int n, m, k;

vector<vector<int>> znam;
map<long long, vector<int>> M;

vector<int> rec(long long POV = 0)
{
    if (M.count(POV) == 0)
    {
        vector<int> result;

        int how_many_true = m;
        vector<bool> przeciecie(m, true);
        for (int i = 0; i < n; i++)
            if (is_set(POV, i))
                for (int j : znam[i])
                    if (przeciecie[j])
                    {
                        przeciecie[j] = false;
                        how_many_true--;
                    }

        if (how_many_true == 0)
            result.resize(n, 0);
        else
        {
            result.resize(n);

            for (int i = 0; i < n; i++)
            {
                if (is_set(POV, i))
                    result[i] = 31;
                else
                {
                    vector<int> tmp = rec(mask_set(POV, i));

                    result[i] = minimum(tmp) + 1;
                }
            }
        }

        M[POV] = result;
    }
    return M[POV];
}

int main()
{
    read(t);

    while(t--)
    {
        read(n, m, k);

        if (n >= 60)
        {
            int a, b;

            vector<int> ile_znam(n, m);

            for (int i = 0; i < m; i++)
            {
                read(a, b);

                ile_znam[a-1]--;
                ile_znam[b-1]--;
            }

            vector<int> zero;
            vector<int> jeden;

            for (int i = 0; i < m ; i++)
            {
                if (ile_znam[i] == 0)
                    zero.push_back(i+1);
                if (ile_znam[i] == 1)
                    jeden.push_back(i+1);
            }

            if (zero.size() > 0)
            {
                writeln(1, (int)zero.size());
                writeln(zero);
            }
            else if (jeden.size() > 0)
            {
                writeln(2, (int)jeden.size());
                writeln(jeden);
            }
            else
            {
                writeln(-1);
            }
        }
        else
        {
            int a, b;

            znam.clear();
            znam.resize(n);

            for (int i = 0; i < m; i++)
            {
                read(a, b);

                znam[a-1].push_back(i);
                znam[b-1].push_back(i);
            }

            M.clear();

            vector<int> v = rec();

            int mn = minimum(v);

            if (mn > k)
                writeln(-1);
            else
            {
                int ile = 0;

                for (int i = 0; i < v.size(); i++)
                    if (v[i] == mn)
                        ile++;

                writeln(mn, ile);

                for (int i = 0; i < v.size(); i++)
                    if (v[i] == mn)
                        write(i+1);
                printf("\n");
            }
        }
    }

    return 0;
}