Table 26 Weyl group \(D_{4}\), conjugacy class 1, 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 | \(s_{1}\) | 1 | 1 |
2 | \(s_{2}\) | 1 | 2 |
3 | \(s_{3}\) | 1 | 3 |
4 | \(s_{4}\) | 1 | 4 |
5 | \(s_{2}s_{1}s_{2}\) | 3 | 6 |
6 | \(s_{3}s_{2}s_{3}\) | 3 | 11 |
7 | \(s_{4}s_{2}s_{4}\) | 3 | 16 |
8 | \(s_{3}s_{2}s_{1}s_{2}s_{3}\) | 5 | 15 |
9 | \(s_{4}s_{3}s_{2}s_{4}s_{3}\) | 5 | 23 |
10 | \(s_{4}s_{2}s_{1}s_{2}s_{4}\) | 5 | 25 |
11 | \(s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}\) | 7 | 18 |
12 | \(s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 9 | 7 |