Point Group C15

**Characters of symmetric powers**
Power To	E	2C₁₅	2(C₁₅)²	2C₅	2(C₁₅)⁴	2C₃	2(C₅)²	2(C₁₅)⁷
1	2	0.618	-1.618	-1.618	0.618	2	0.618	-1.618
2	3	-0.618	1.618	1.618	-0.618	3	-0.618	1.618
3	4	-1.000	-1.000	-1.000	-1.000	4	-1.000	-1.000
4	5	-0.000	-0.000	0.000	0.000	5	-0.000	-0.000
5	6	1.000	1.000	1.000	1.000	6	1.000	1.000
6	7	0.618	-1.618	-1.618	0.618	7	0.618	-1.618
7	8	-0.618	1.618	1.618	-0.618	8	-0.618	1.618
8	9	-1.000	-1.000	-1.000	-1.000	9	-1.000	-1.000
9	10	-0.000	-0.000	0.000	0.000	10	-0.000	-0.000
10	11	1.000	1.000	1.000	1.000	11	1.000	1.000
11	12	0.618	-1.618	-1.618	0.618	12	0.618	-1.618
12	13	-0.618	1.618	1.618	-0.618	13	-0.618	1.618
13	14	-1.000	-1.000	-1.000	-1.000	14	-1.000	-1.000
14	15	-0.000	-0.000	0.000	0.000	15	-0.000	-0.000
15	16	1.000	1.000	1.000	1.000	16	1.000	1.000
16	17	0.618	-1.618	-1.618	0.618	17	0.618	-1.618
17	18	-0.618	1.618	1.618	-0.618	18	-0.618	1.618
18	19	-1.000	-1.000	-1.000	-1.000	19	-1.000	-1.000
19	20	-0.000	-0.000	0.000	0.000	20	-0.000	-0.000
20	21	1.000	1.000	1.000	1.000	21	1.000	1.000

**Decomposition to irreducible representations**
Power To	A	E₃*	E₆*
1	0	1	0	E₃
2	1	0	1	A⊕E₆
3	0	1	1	E₃⊕E₆
4	1	1	1	A⊕E₃⊕E₆
5	2	1	1	2A⊕E₃⊕E₆
6	1	2	1	A⊕2E₃⊕E₆
7	2	1	2	2A⊕E₃⊕2E₆
8	1	2	2	A⊕2E₃⊕2E₆
9	2	2	2	2A⊕2E₃⊕2E₆
10	3	2	2	3A⊕2E₃⊕2E₆
11	2	3	2	2A⊕3E₃⊕2E₆
12	3	2	3	3A⊕2E₃⊕3E₆
13	2	3	3	2A⊕3E₃⊕3E₆
14	3	3	3	3A⊕3E₃⊕3E₆
15	4	3	3	4A⊕3E₃⊕3E₆
16	3	4	3	3A⊕4E₃⊕3E₆
17	4	3	4	4A⊕3E₃⊕4E₆
18	3	4	4	3A⊕4E₃⊕4E₆
19	4	4	4	4A⊕4E₃⊕4E₆
20	5	4	4	5A⊕4E₃⊕4E₆

Results for Point Group C₁₅