level	base level 2	determinant
3		1                     
[[0, 1], [0, 2], [1, 2], [0, 0, 1], [0, 0, 2], [0, 1, 2],
 [1, 0, 1], [1, 0, 2], [1, 1, 2], [2, 0, 1], [2, 0, 2], [2, 1, 2]]
4		.13463764113292466337
[[1, 0, 0, 0, 2], [2, 0, 0, 0, 1], [2, 1, 1, 1, 2],
 [0, 1, 0, 0, 1], [0, 2, 0, 0, 1], [0, 2, 1, 0, 1], 
[1, 0, 1, 0, 1], [1, 0, 2, 0, 2], [1, 2, 1, 1, 2], 
[2, 0, 1, 0, 1], [2, 0, 2, 0, 2], [2, 1, 2, 1, 2]]
5		.13463764113292466337
[[1, 0, 0, 0, 2], [2, 0, 0, 0, 1], [2, 1, 1, 1, 2], 
[0, 1, 0, 0, 1], [0, 2, 0, 0, 1], [0, 2, 1, 0, 1], 
[1, 0, 1, 0, 1], [1, 0, 2, 0, 2], [1, 2, 1, 1, 2], 
[2, 0, 1, 0, 1], [2, 0, 2, 0, 2], [2, 1, 2, 1, 2]]
6		.13463764113292466337
[[1, 0, 0, 0, 2], [2, 0, 0, 0, 1], [2, 1, 1, 1, 2], 
[0, 1, 0, 0, 1], [0, 2, 0, 0, 1], [0, 2, 1, 0, 1], 
[1, 0, 1, 0, 1], [1, 0, 2, 0, 2], [1, 2, 1, 1, 2], 
[2, 0, 1, 0, 1], [2, 0, 2, 0, 2], [2, 1, 2, 1, 2]]
7		.13463764113292466337
[[1, 0, 0, 0, 2], [2, 0, 0, 0, 1], [2, 1, 1, 1, 2],
 [0, 1, 0, 0, 1], [0, 2, 0, 0, 1], [0, 2, 1, 0, 1], 
[1, 0, 1, 0, 1], [1, 0, 2, 0, 2], [1, 2, 1, 1, 2], 
[2, 0, 1, 0, 1], [2, 0, 2, 0, 2], [2, 1, 2, 1, 2]]
8		.13463764113292466337
[[1, 0, 0, 0, 2], [2, 0, 0, 0, 1], [2, 1, 1, 1, 2], 
[0, 1, 0, 0, 1], [0, 2, 0, 0, 1], [0, 2, 1, 0, 1], 
[1, 0, 1, 0, 1], [1, 0, 2, 0, 2], [1, 2, 1, 1, 2], 
[2, 0, 1, 0, 1], [2, 0, 2, 0, 2], [2, 1, 2, 1, 2]]