| D5 | E | 2C5 | 2C5² | 5C2 | 线性 / 转动linear, rotations | 二次quadratic |
|---|---|---|---|---|---|---|
| A1 | 1 | 1 | 1 | 1 | x²+y², z² | |
| A2 | 1 | 1 | 1 | −1 | z, Rz | |
| E1 | 2 | 2cos72° | 2cos144° | 0 | (x, y), (Rx, Ry) | (xz, yz) |
| E2 | 2 | 2cos144° | 2cos72° | 0 | (x²−y², xy) |
| 阶 hOrder h | 10 |
|---|---|
| 类数Classes | 4 |
| 所属族Family | Dn |
| 代表分子Examples | 少见rare |
约化可约表示Reduce a representation
输入可约表示在各类上的特征标，按约化公式 \(n_i = \frac{1}{h}\sum_R g_R\,\chi(R)\,\chi_i(R)^{*}\) 求出各不可约表示出现的次数。
Enter the characters of a reducible representation; the reduction formula gives how many times each irreducible representation occurs.