Character table for $C_3^5:F_9$

The column representing the conjugacy class 8A-3 is highlighted below.

		1A	2A	3A	3B	3C	3D1	3D-1	3E1	3E-1	3F	3G	3H	3I	3J1	3J-1	3K1	3K-1	3L1	3L-1	3M1	3M-1	3N	3O	3P	3Q	3R	3S	4A1	4A-1	6A	6B	6C	6D1	6D-1	6E1	6E-1	8A1	8A-1	8A3	8A-3	12A1	12A-1
	Size	1	81	2	4	4	4	4	4	4	72	72	72	72	72	72	72	72	72	72	72	72	216	216	216	216	216	216	729	729	162	324	324	324	324	324	324	2187	2187	2187	2187	1458	1458
	2 P	1A	1A	3A	3B	3C	3D-1	3D1	3E-1	3E1	3F	3G	3H	3I	3J-1	3J1	3K-1	3K1	3L-1	3L1	3M-1	3M1	3N	3O	3P	3Q	3R	3S	2A	2A	3A	3B	3C	3D1	3D-1	3E1	3E-1	4A1	4A-1	4A-1	4A1	6A	6A
	3 P	1A	2A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	4A-1	4A1	2A	2A	2A	2A	2A	2A	2A	8A3	8A-3	8A1	8A-1	4A1	4A-1
	Type
17496.pw.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
17496.pw.1b	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
17496.pw.1c1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-i$	$i$	$i$	$-i$	$-1$	$-1$
17496.pw.1c2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$i$	$-i$	$-i$	$i$	$-1$	$-1$
17496.pw.1d1	C	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^2$	$-{\zeta }_8^2$
17496.pw.1d2	C	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^2$	${\zeta }_8^2$
17496.pw.1d3	C	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^3$	${\zeta }_8^2$	$-{\zeta }_8^2$
17496.pw.1d4	C	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^2$	${\zeta }_8^2$
17496.pw.8a	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8b	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8c	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8d	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8e	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8f	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8g	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8h	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8i	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$8$	$-1$	$-1$	$-1$	$-1$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.8j	R	$8$	$0$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$8$	$-1$	$-1$	$-1$	$8$	$8$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.12a1	C	$12$	$4$	$-6$	$3$	$-6$	$3$	$3$	$-6-9{\zeta }_3$	$3+9{\zeta }_3$	$3$	$3$	$3$	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$-2$	$1$	$1$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.12a2	C	$12$	$4$	$-6$	$3$	$-6$	$3$	$3$	$3+9{\zeta }_3$	$-6-9{\zeta }_3$	$3$	$3$	$3$	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$1$	$-2$	$1$	$1$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.12b1	C	$12$	$-4$	$-6$	$3$	$-6$	$3$	$3$	$-6-9{\zeta }_3$	$3+9{\zeta }_3$	$3$	$3$	$3$	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-1$	$2$	$-1$	$-1$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.12b2	C	$12$	$-4$	$-6$	$3$	$-6$	$3$	$3$	$3+9{\zeta }_3$	$-6-9{\zeta }_3$	$3$	$3$	$3$	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-1$	$2$	$-1$	$-1$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.18a	R	$18$	$2$	$-9$	$18$	$18$	$-9$	$-9$	$-9$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$
17496.pw.18b	S	$18$	$2$	$-9$	$18$	$18$	$-9$	$-9$	$-9$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$
17496.pw.18c1	C	$18$	$-2$	$-9$	$18$	$18$	$-9$	$-9$	$-9$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2i$	$2i$	$1$	$-2$	$-2$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$-i$	$i$
17496.pw.18c2	C	$18$	$-2$	$-9$	$18$	$18$	$-9$	$-9$	$-9$	$-9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2i$	$-2i$	$1$	$-2$	$-2$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$i$	$-i$
17496.pw.24a1	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$-12-18{\zeta }_3$	$6+18{\zeta }_3$	$-3$	$-3$	$-3$	$6$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$6{\zeta }_3^{-1}$	$6{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24a2	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$6+18{\zeta }_3$	$-12-18{\zeta }_3$	$-3$	$-3$	$-3$	$6$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$6{\zeta }_3$	$6{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24b1	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$-12-18{\zeta }_3$	$6+18{\zeta }_3$	$-3$	$-3$	$6$	$-3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$6{\zeta }_3^{-1}$	$6{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24b2	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$6+18{\zeta }_3$	$-12-18{\zeta }_3$	$-3$	$-3$	$6$	$-3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$6{\zeta }_3$	$6{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24c1	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$-12-18{\zeta }_3$	$6+18{\zeta }_3$	$-3$	$6$	$-3$	$-3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$6{\zeta }_3$	$6{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24c2	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$6+18{\zeta }_3$	$-12-18{\zeta }_3$	$-3$	$6$	$-3$	$-3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$6{\zeta }_3^{-1}$	$6{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24d1	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$-12-18{\zeta }_3$	$6+18{\zeta }_3$	$6$	$-3$	$-3$	$-3$	$6{\zeta }_3^{-1}$	$6{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.24d2	C	$24$	$0$	$-12$	$6$	$-12$	$6$	$6$	$6+18{\zeta }_3$	$-12-18{\zeta }_3$	$6$	$-3$	$-3$	$-3$	$6{\zeta }_3$	$6{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36a	R	$36$	$4$	$36$	$-18$	$9$	$9$	$9$	$-18$	$-18$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$-2$	$1$	$1$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36b	R	$36$	$4$	$36$	$9$	$-18$	$-18$	$-18$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$1$	$-2$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36c	S	$36$	$-4$	$36$	$-18$	$9$	$9$	$9$	$-18$	$-18$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$2$	$-1$	$-1$	$-1$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36d	S	$36$	$-4$	$36$	$9$	$-18$	$-18$	$-18$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$-1$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36e1	C	$36$	$4$	$-18$	$-18$	$9$	$-18-27{\zeta }_3$	$9+27{\zeta }_3$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36e2	C	$36$	$4$	$-18$	$-18$	$9$	$9+27{\zeta }_3$	$-18-27{\zeta }_3$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$1$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36f1	C	$36$	$-4$	$-18$	$-18$	$9$	$-18-27{\zeta }_3$	$9+27{\zeta }_3$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$
17496.pw.36f2	C	$36$	$-4$	$-18$	$-18$	$9$	$9+27{\zeta }_3$	$-18-27{\zeta }_3$	$9$	$9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-1$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$