0: 1 -0.70710678 0 0.70710678
1: 1 0.70710678 0 0.70710678
2: 1 -0.70710678 0 -0.70710678
3: 1 0.70710678 0 -0.70710678
4: 1 0 0 1
5: 0 0 0 0
6: 1 -1 0 0
7: 1 1 0 0