Character table for $D_{10}.D_6$

The column representing the conjugacy class 4A-1 is highlighted below.

		1A	2A	2B	2C	2D	2E	3A	4A1	4A-1	4B1	4B-1	5A	6A	6B1	6B-1	6C	6D	6E1	6E-1	10A	10B1	10B3	15A1	15A-1	30A1	30A-1	30B1	30B-1	30B7	30B-7
	Size	1	1	2	5	5	10	2	30	30	30	30	4	2	2	2	10	10	10	10	4	4	4	4	4	4	4	4	4	4	4
	2 P	1A	1A	1A	1A	1A	1A	3A	2C	2C	2D	2D	5A	3A	3A	3A	3A	3A	3A	3A	5A	5A	5A	15A1	15A-1	15A1	15A-1	15A1	15A-1	15A-1	15A1
	3 P	1A	2A	2B	2C	2D	2E	1A	4A-1	4A1	4B-1	4B1	5A	2A	2B	2B	2C	2D	2E	2E	10A	10B3	10B1	5A	5A	10A	10A	10B1	10B1	10B3	10B3
	5 P	1A	2A	2B	2C	2D	2E	3A	4A1	4A-1	4B1	4B-1	1A	6A	6B-1	6B1	6C	6D	6E-1	6E1	2A	2B	2B	3A	3A	6A	6A	6B1	6B-1	6B1	6B-1
	Type
240.124.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
240.124.1b	R	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$
240.124.1c	R	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$
240.124.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
240.124.1e1	C	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-i$	$i$	$-i$	$i$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$
240.124.1e2	C	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$i$	$-i$	$i$	$-i$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$
240.124.1f1	C	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-i$	$i$	$i$	$-i$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
240.124.1f2	C	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$i$	$-i$	$-i$	$i$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
240.124.2a	R	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
240.124.2b	R	$2$	$-2$	$0$	$-2$	$2$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$0$	$-2$	$0$	$0$	$-2$	$0$
240.124.2c	R	$2$	$-2$	$0$	$2$	$-2$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$-2$	$2$	$2$	$0$	$-2$	$0$	$0$	$-2$	$0$
240.124.2d	R	$2$	$2$	$-2$	$2$	$2$	$-2$	$-1$	$0$	$0$	$0$	$0$	$2$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-2$	$-2$	$2$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$
240.124.2e	S	$2$	$2$	$-2$	$-2$	$-2$	$2$	$-1$	$0$	$0$	$0$	$0$	$2$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-2$	$-2$	$2$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$
240.124.2f	S	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-1$	$0$	$0$	$0$	$0$	$2$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
240.124.2g1	C	$2$	$-2$	$0$	$-2$	$2$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$-1-2{\zeta }_3$	$1$	$1+2{\zeta }_3$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$1$	$-1$	$0$	$0$	$-2$	$-1$	$-1$	$1+2{\zeta }_3$	$1$	$-1-2{\zeta }_3$	$-1-2{\zeta }_3$	$1$	$1+2{\zeta }_3$
240.124.2g2	C	$2$	$-2$	$0$	$-2$	$2$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$1+2{\zeta }_3$	$1$	$-1-2{\zeta }_3$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$1$	$-1$	$0$	$0$	$-2$	$-1$	$-1$	$-1-2{\zeta }_3$	$1$	$1+2{\zeta }_3$	$1+2{\zeta }_3$	$1$	$-1-2{\zeta }_3$
240.124.2h1	C	$2$	$-2$	$0$	$2$	$-2$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$-1-2{\zeta }_3$	$1$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$-1$	$1$	$0$	$0$	$-2$	$-1$	$-1$	$1+2{\zeta }_3$	$1$	$-1-2{\zeta }_3$	$-1-2{\zeta }_3$	$1$	$1+2{\zeta }_3$
240.124.2h2	C	$2$	$-2$	$0$	$2$	$-2$	$0$	$-1$	$0$	$0$	$0$	$0$	$2$	$1+2{\zeta }_3$	$1$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$-1$	$1$	$0$	$0$	$-2$	$-1$	$-1$	$-1-2{\zeta }_3$	$1$	$1+2{\zeta }_3$	$1+2{\zeta }_3$	$1$	$-1-2{\zeta }_3$
240.124.4a	R	$4$	$4$	$4$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$-1$	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
240.124.4b	R	$4$	$4$	$-4$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$-1$	$-4$	$4$	$-4$	$0$	$0$	$0$	$0$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$
240.124.4c1	C	$4$	$4$	$4$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$
240.124.4c2	C	$4$	$4$	$4$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$
240.124.4d1	R	$4$	$-4$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$-1$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_5^{-2}+1+2{\zeta }_5^2$	$-2{\zeta }_5^{-2}-1-2{\zeta }_5^2$	$1$	$-1$	$-1$	$-2{\zeta }_5^{-2}-1-2{\zeta }_5^2$	$1$	$-2{\zeta }_5^{-2}-1-2{\zeta }_5^2$	$2{\zeta }_5^{-2}+1+2{\zeta }_5^2$	$1$	$2{\zeta }_5^{-2}+1+2{\zeta }_5^2$
240.124.4d2	R	$4$	$-4$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$-1$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_5^{-2}-1-2{\zeta }_5^2$	$2{\zeta }_5^{-2}+1+2{\zeta }_5^2$	$1$	$-1$	$-1$	$2{\zeta }_5^{-2}+1+2{\zeta }_5^2$	$1$	$2{\zeta }_5^{-2}+1+2{\zeta }_5^2$	$-2{\zeta }_5^{-2}-1-2{\zeta }_5^2$	$1$	$-2{\zeta }_5^{-2}-1-2{\zeta }_5^2$
240.124.4e1	C	$4$	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$1$	$1$	$-1$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$
240.124.4e2	C	$4$	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$1$	$1$	$-1$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$
240.124.4f1	C	$4$	$-4$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-2-4{\zeta }_{15}^5$	$2$	$2+4{\zeta }_{15}^5$	$0$	$0$	$0$	$0$	$-1+2{\zeta }_{15}^2-2{\zeta }_{15}^3+2{\zeta }_{15}^7$	$1-2{\zeta }_{15}^2+2{\zeta }_{15}^3-2{\zeta }_{15}^7$	$1$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-1+{\zeta }_{15}^2-{\zeta }_{15}^3-{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	${\zeta }_{15}^2-{\zeta }_{15}^3+{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-{\zeta }_{15}^2+{\zeta }_{15}^3+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-{\zeta }_{15}^2+{\zeta }_{15}^3-{\zeta }_{15}^5-{\zeta }_{15}^7$
240.124.4f2	C	$4$	$-4$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2+4{\zeta }_{15}^5$	$2$	$-2-4{\zeta }_{15}^5$	$0$	$0$	$0$	$0$	$-1+2{\zeta }_{15}^2-2{\zeta }_{15}^3+2{\zeta }_{15}^7$	$1-2{\zeta }_{15}^2+2{\zeta }_{15}^3-2{\zeta }_{15}^7$	$1$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	${\zeta }_{15}^2-{\zeta }_{15}^3+{\zeta }_{15}^5+{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-1+{\zeta }_{15}^2-{\zeta }_{15}^3-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-{\zeta }_{15}^2+{\zeta }_{15}^3-{\zeta }_{15}^5-{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$1-{\zeta }_{15}^2+{\zeta }_{15}^3+{\zeta }_{15}^5-{\zeta }_{15}^7$
240.124.4f3	C	$4$	$-4$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$-2-4{\zeta }_{15}^5$	$2$	$2+4{\zeta }_{15}^5$	$0$	$0$	$0$	$0$	$1-2{\zeta }_{15}^2+2{\zeta }_{15}^3-2{\zeta }_{15}^7$	$-1+2{\zeta }_{15}^2-2{\zeta }_{15}^3+2{\zeta }_{15}^7$	$1$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-{\zeta }_{15}^2+{\zeta }_{15}^3-{\zeta }_{15}^5-{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-{\zeta }_{15}^2+{\zeta }_{15}^3+{\zeta }_{15}^5-{\zeta }_{15}^7$	${\zeta }_{15}^2-{\zeta }_{15}^3+{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+{\zeta }_{15}^2-{\zeta }_{15}^3-{\zeta }_{15}^5+{\zeta }_{15}^7$
240.124.4f4	C	$4$	$-4$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2+4{\zeta }_{15}^5$	$2$	$-2-4{\zeta }_{15}^5$	$0$	$0$	$0$	$0$	$1-2{\zeta }_{15}^2+2{\zeta }_{15}^3-2{\zeta }_{15}^7$	$-1+2{\zeta }_{15}^2-2{\zeta }_{15}^3+2{\zeta }_{15}^7$	$1$	$2-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	$1-{\zeta }_{15}^2+{\zeta }_{15}^3+{\zeta }_{15}^5-{\zeta }_{15}^7$	$1-2{\zeta }_{15}-{\zeta }_{15}^2+{\zeta }_{15}^3-2{\zeta }_{15}^4+{\zeta }_{15}^5-{\zeta }_{15}^7$	$-{\zeta }_{15}^2+{\zeta }_{15}^3-{\zeta }_{15}^5-{\zeta }_{15}^7$	$-1+{\zeta }_{15}^2-{\zeta }_{15}^3-{\zeta }_{15}^5+{\zeta }_{15}^7$	$-2+2{\zeta }_{15}+{\zeta }_{15}^2-{\zeta }_{15}^3+2{\zeta }_{15}^4-{\zeta }_{15}^5+{\zeta }_{15}^7$	${\zeta }_{15}^2-{\zeta }_{15}^3+{\zeta }_{15}^5+{\zeta }_{15}^7$