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#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int MAXN = 1e3 + 5;
const int inf = 0x3f3f3f3f;

int n,m,d;
vector<int> g[MAXN];

int deg[MAXN];
int vis[MAXN], sta[MAXN], tp = 0;
int ans = inf;
int mnval[MAXN];

void setvis(int u,int k)
{
	vis[u] += k;
	for(int v: g[u]) if(!vis[v])
		deg[v] -= k;
}
void roll(int k)
{
	while(tp > k)
	{
		setvis(sta[tp], -1); --tp;
	}
}

void dfs(void)
{
	if(tp > ans || tp > d) return;
	
	int mx = 0;
	for(int i=1; i<=n; ++i)
		if(!vis[i] && deg[i] > deg[mx])
			mx = i;
	
	if(deg[mx] == 0)
	{
		ans = tp;
		for(int i=1; i<=tp; ++i)
			mnval[sta[i]] = tp;
		return;
	}
	
	if(deg[mx] <= 2)
	{
		static int clr[MAXN];
		for(int i=1; i<=n; ++i)
			clr[i] = vis[i];
		
		int cur = tp;
		vector<int> ps;
		for(int i=1; i<=n && cur <= ans && cur <= d; ++i)
			if(!clr[i] && deg[i] == 1)
			{
				int u = i;
				vector<int> vec;
				while(1)
				{
					clr[u] = 1; vec.emplace_back(u);
					bool flag = 0;
					for(int v: g[u])
						if(!clr[v])
						{
							u = v; flag = 1; break;
						}
					if(!flag) break;
				}
				
				if((int)vec.size() % 2 == 1)
				{
					cur += (int)vec.size() / 2;
					for(int j=1; j<(int)vec.size(); j+=2)
						ps.emplace_back(vec[j]);
				}
				else
				{
					cur += (int)vec.size() / 2;
					for(int j=0; j<(int)vec.size(); ++j)
						ps.emplace_back(vec[j]);
				}
			}
		
		for(int i=1; i<=n && cur <= ans && cur <= d; ++i)
			if(!clr[i] && deg[i] == 2)
			{
				int u = i;
				vector<int> vec;
				while(1)
				{
					clr[u] = 1; vec.emplace_back(u);
					bool flag = 0;
					for(int v: g[u])
						if(!clr[v])
						{
							u = v; flag = 1; break;
						}
					if(!flag) break;
				}
				
				cur += ((int)vec.size() + 1) / 2;
				for(int j=0; j<(int)vec.size(); ++j)
					ps.emplace_back(vec[j]);
			}
		
		if(cur > d || cur > ans) return;
		
		ans = cur;
		for(int u: ps)
			mnval[u] = cur;
		for(int i=1; i<=tp; ++i)
			mnval[sta[i]] = cur;
		return;
	}
	
	int save = tp;
	
	setvis(mx, 1);
	sta[++tp] = mx;
	dfs();
	roll(save);
	
	for(int u: g[mx]) if(!vis[u])
		setvis(u, 1), sta[++tp] = u;
	dfs();
	roll(save);
}

void solve(void)
{
	scanf("%d%d%d",&n,&m,&d);
	for(int i=1; i<=n; ++i)
		g[i].clear();
	set<pii> bak;
	for(int i=1; i<=m; ++i)
	{
		int u,v;
		scanf("%d%d",&u,&v);
		if(!bak.insert({u,v}).second) continue;
		g[u].emplace_back(v);
		g[v].emplace_back(u);
	}
	
	for(int i=1; i<=n; ++i)
	{
		deg[i] = (int)g[i].size();
		vis[i] = 0;
		mnval[i] = inf;
	}
	tp = 0;
	ans = inf;
	
	dfs();
	
	if(ans == inf)
	{
		printf("-1\n");
	}
	else
	{
		vector<int> vec;
		for(int i=1; i<=n; ++i)
			if(mnval[i] == ans)
				vec.emplace_back(i);
		
		printf("%d %d\n",ans,(int)vec.size());
		for(int u: vec)
			printf("%d ",u);
		printf("\n");
	}
}

int main(void)
{
#ifdef He_Ren
	freopen("a.in","r",stdin);
	freopen("a.out","w",stdout);
#endif
	
	int T;
	scanf("%d",&T);
	while(T--) solve();
	return 0;
}