Rootsystem A4 in characteristic 5
0 0 0 0
0 0 1 3
0 1 0 2
0 1 3 1
0 2 2 0
0 2 3 3
1 0 0 1
1 0 2 2
1 1 1 1
1 1 3 2
1 3 1 0
1 3 2 3
2 0 1 0
2 0 2 3
2 2 0 1
2 2 2 2
2 3 1 1
2 3 3 2
3 1 0 0
3 1 1 3
3 2 0 2
3 2 3 1
3 3 2 0
3 3 3 3