#include "bits/stdc++.h"
using namespace std;
#define int long long
#define FOR(i, a, b) for(int i=(a);i<(b);i++)
#define RFOR(i, a, b) for(int i=(b-1);i>=(a);i--)
#define REP(i, n) for(int i=0; i<(n); i++)
#define RREP(i, n) for(int i=(n-1); i>=0; i--)
#define REP1(i, n) for(int i=1; i<=(n); i++)
#define RREP1(i, n) for(int i=(n); i>=1; i--)
#define ALL(a) (a).begin(),(a).end()
#define UNIQUE_SORT(l) sort(ALL(l)); l.erase(unique(ALL(l)), l.end());
#define CONTAIN(a, b) find(ALL(a), (b)) != (a).end()
#define out(...) printf(__VA_ARGS__)
#if DEBUG
#define debug(...) printf(__VA_ARGS__)
#else
#define debug(...) /* ... */
#endif
template<class T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<class T>bool chmin(T &a,const T &b){if(b<a){a=b;return true;}return false;}

void solve();
signed main()
{
#if DEBUG
    std::ifstream in("input.txt");
    std::cin.rdbuf(in.rdbuf());
#endif
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
    return 0;
}

/*================================*/
#if DEBUG
#define SIZE 10
#else
#define SIZE 333
#endif

int N,M,K;
int A[SIZE];
// i番目,3つ前,2つ前,1つ前→組み合わせ数
int DP[2][6][6][6];

struct Tup {
    int a,b,c;
};
// 3*(2^i)番目,前のTupのindex,次のTupのindex→組み合わせ数
int DP2[61][SIZE][SIZE];
int MOD=1e9+7;
int E[6][6][6];

void solve() {
    cin>>K>>M>>N;
    int p,q,r;
    vector<Tup> tups;
    vector<int> s0;
    REP(i,M) {
        cin>>p>>q>>r;
        --p;--q;--r;
        if (!p) s0.push_back(tups.size());
        tups.push_back({p,q,r});
        E[p][q][r]=1;
    }
    int size = tups.size();
    REP(i,size)REP(j,size) {
        auto [a,b,c] = tups[i];
        auto [d,e,f] = tups[j];
        if (E[b][c][d] && E[c][d][e]) {
            DP2[0][i][j] += 1;
        }
    }
    N -= 3;
    int T = N/3;
    // i番目,-3,-2,-1
    vector<int> ans(size), tmp(size);
    for (int i:s0) {
        ans[i] = 1;
    }
    REP(i,61) {
        REP(j,size)REP(k,size)REP(l,size) {
            (DP2[i+1][j][l] += DP2[i][j][k]*DP2[i][k][l]) %= MOD;
        }
        if (T & (1LL<<i)) {
            fill(ALL(tmp), 0);
            REP(j,size)REP(k,size) {
                (tmp[k] += ans[j] * DP2[i][j][k]) %= MOD;
            }
            REP(j,size) ans[j]=tmp[j];
        }
    }
    REP(i,size) {
        auto [a,b,c] = tups[i];
        DP[0][a][b][c] = ans[i];
    }
    int m = N%3;
    REP(i,m) {
        int from = i%2, to = (i+1)%2;
        REP(j,6)REP(k,6)REP(l,6) DP[to][j][k][l] = 0;
        REP(j,6)REP(k,6)REP(l,6)REP(n,6) {
            if (E[k][l][n]) (DP[to][k][l][n] += DP[from][j][k][l]) %= MOD;
        }
    }
    int ret = 0;
    REP(j,6)REP(k,6) (ret += DP[m%2][j][k][0]) %= MOD;
    cout << ret << endl;
}