package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var scanner *bufio.Scanner

func init() {
	scanner = bufio.NewScanner(os.Stdin)
	scanner.Split(bufio.ScanWords)
	scanner.Buffer(make([]byte, 1024*1024), 1024*1024*10)
}

func nextInt() int {
	scanner.Scan()
	ans, _ := strconv.Atoi(scanner.Text())
	return ans
}

func nextInt64() int64 {
	scanner.Scan()
	ans, _ := strconv.ParseInt(scanner.Text(), 10, 64)
	return ans
}

type Edge struct {
	to int
	w  int64
}

func main() {
	if !scanner.Scan() {
		return
	}
	n, _ := strconv.Atoi(scanner.Text())
	m := nextInt()

	adj := make([][]Edge, n+1)
	for i := 0; i < m; i++ {
		u := nextInt()
		v := nextInt()
		w := nextInt64()
		adj[u] = append(adj[u], Edge{v, w})
		adj[v] = append(adj[v], Edge{u, w})
	}

	visited := make([]bool, n+1)
	d := make([]int64, n+1)
	ans := int64(0)
	mod := int64(1000000007)

	pow2 := make([]int64, 130)
	pow2[0] = 1
	for i := 1; i < 130; i++ {
		pow2[i] = (pow2[i-1] * 2) % mod
	}

	for i := 1; i <= n; i++ {
		if !visited[i] {
			basis := make([]int64, 61)
			k := 0
			var comp []int

			queue := []int{i}
			visited[i] = true
			for head := 0; head < len(queue); head++ {
				u := queue[head]
				comp = append(comp, u)
				for _, e := range adj[u] {
					v, w := e.to, e.w
					if !visited[v] {
						visited[v] = true
						d[v] = d[u] ^ w
						queue = append(queue, v)
					} else {
						cycle := d[u] ^ d[v] ^ w
						for bit := 60; bit >= 0; bit-- {
							if (cycle>>bit)&1 == 1 {
								if basis[bit] == 0 {
									basis[bit] = cycle
									k++
									break
								}
								cycle ^= basis[bit]
							}
						}
					}
				}
			}

			basisOR := int64(0)
			for bit := 0; bit <= 60; bit++ {
				basisOR |= basis[bit]
			}

			vc := int64(len(comp))
			pairsTotal := (vc * (vc - 1) / 2) % mod

			for bit := 0; bit <= 60; bit++ {
				if (basisOR>>bit)&1 == 1 {
					term := (pairsTotal * pow2[k-1]) % mod
					term = (term * pow2[bit]) % mod
					ans = (ans + term) % mod
				} else {
					c1 := int64(0)
					for _, u := range comp {
						if (d[u]>>bit)&1 == 1 {
							c1++
						}
					}
					c0 := vc - c1
					pairs := (c0 * c1) % mod
					term := (pairs * pow2[k]) % mod
					term = (term * pow2[bit]) % mod
					ans = (ans + term) % mod
				}
			}
		}
	}

	fmt.Println(ans)
}