Table 33 Weyl group \(D_{4}\), conjugacy class 8, order 2
From: Extending Snow’s algorithm for computations in the finite Weyl groups
\(N^{o}\) in CCL | Element | Level | \(N^{o}\) in Level |
|---|---|---|---|
1 | \(s_{4}s_{3}s_{1}\) | 3 | 3 |
2 | \(s_{2}s_{4}s_{3}s_{1}s_{2}\) | 5 | 8 |
3 | \(s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}s_{1}\) | 7 | 0 |
4 | \(s_{3}s_{2}s_{4}s_{3}s_{1}s_{2}s_{3}\) | 7 | 14 |
5 | \(s_{4}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}\) | 7 | 26 |
6 | \(s_{4}s_{2}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}s_{1}\) | 9 | 2 |
7 | \(s_{3}s_{2}s_{4}s_{1}s_{2}s_{4}s_{3}s_{2}s_{1}\) | 9 | 4 |
8 | \(s_{4}s_{3}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}\) | 9 | 14 |
9 | \(s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}s_{1}\) | 11 | 0 |
10 | \(s_{4}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}s_{1}\) | 11 | 1 |
11 | \(s_{4}s_{3}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}s_{1}\) | 11 | 2 |
12 | \(s_{4}s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 11 | 3 |