Table 31 Weyl group \(D_{4}\), conjugacy class 6, order 4
From: Extending Snow’s algorithm for computations in the finite Weyl groups
\(N^{o}\) in CCL | Element | Level | \(N^{o}\) in Level |
|---|---|---|---|
1 | \(s_{3}s_{2}s_{1}\) | 3 | 0 |
2 | \(s_{2}s_{3}s_{1}\) | 3 | 2 |
3 | \(s_{3}s_{1}s_{2}\) | 3 | 6 |
4 | \(s_{1}s_{2}s_{3}\) | 3 | 9 |
5 | \(s_{4}s_{2}s_{4}s_{3}s_{1}\) | 5 | 3 |
6 | \(s_{4}s_{3}s_{2}s_{4}s_{1}\) | 5 | 4 |
7 | \(s_{3}s_{2}s_{3}s_{1}s_{2}\) | 5 | 6 |
8 | \(s_{4}s_{2}s_{3}s_{1}s_{2}\) | 5 | 7 |
9 | \(s_{2}s_{3}s_{1}s_{2}s_{3}\) | 5 | 16 |
10 | \(s_{4}s_{1}s_{2}s_{4}s_{3}\) | 5 | 21 |
11 | \(s_{2}s_{3}s_{1}s_{2}s_{4}\) | 5 | 25 |
12 | \(s_{4}s_{3}s_{1}s_{2}s_{4}\) | 5 | 26 |
13 | \(s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}\) | 7 | 4 |
14 | \(s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 7 | 7 |
15 | \(s_{2}s_{4}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 7 | 11 |
16 | \(s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{3}\) | 7 | 12 |
17 | \(s_{4}s_{3}s_{2}s_{3}s_{1}s_{2}s_{3}\) | 7 | 13 |
18 | \(s_{3}s_{2}s_{3}s_{1}s_{2}s_{4}s_{3}\) | 7 | 18 |
19 | \(s_{4}s_{2}s_{3}s_{1}s_{2}s_{4}s_{3}\) | 7 | 19 |
20 | \(s_{4}s_{3}s_{2}s_{3}s_{1}s_{2}s_{4}\) | 7 | 24 |
21 | \(s_{4}s_{3}s_{2}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 9 | 7 |
22 | \(s_{4}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 9 | 9 |
23 | \(s_{4}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}\) | 9 | 13 |
24 | \(s_{4}s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}\) | 9 | 15 |