Character table for $F_8:C_3\times S_4$

		1A	2A	2B	2C	2D	2E	3A	3B1	3B-1	3C1	3C-1	4A	4B	6A1	6A-1	6B	6C1	6C-1	6D1	6D-1	6E1	6E-1	6F1	6F-1	6G1	6G-1	7A1	7A-1	12A1	12A-1	12B1	12B-1	14A1	14A-1	14B1	14B-1	21A1	21A-1	28A1	28A-1
	Size	1	3	6	7	21	42	8	28	28	224	224	6	42	28	28	56	84	84	84	84	168	168	168	168	224	224	24	24	168	168	168	168	72	72	144	144	192	192	144	144
	2 P	1A	1A	1A	1A	1A	1A	3A	3B-1	3B1	3C-1	3C1	2A	2A	3B1	3B-1	3A	3B1	3B-1	3B1	3B-1	3B1	3B-1	3B-1	3B1	3C1	3C-1	7A1	7A-1	6C1	6C-1	6C-1	6C1	7A1	7A-1	7A-1	7A1	21A1	21A-1	14A1	14A-1
	3 P	1A	2A	2B	2C	2D	2E	1A	1A	1A	1A	1A	4A	4B	2C	2C	2C	2A	2A	2D	2D	2B	2B	2E	2E	2C	2C	7A-1	7A1	4B	4B	4A	4A	14A-1	14A1	14B-1	14B1	7A1	7A-1	28A-1	28A1
	7 P	1A	2A	2B	2C	2D	2E	3A	3B1	3B-1	3C1	3C-1	4A	4B	6A1	6A-1	6B	6C1	6C-1	6D1	6D-1	6E1	6E-1	6F1	6F-1	6G1	6G-1	1A	1A	12A1	12A-1	12B1	12B-1	2A	2A	2B	2B	3A	3A	4A	4A
	Type
4032.cm.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
4032.cm.1b	R	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$
4032.cm.1c1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
4032.cm.1c2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
4032.cm.1d1	C	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$
4032.cm.1d2	C	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$
4032.cm.2a	R	$2$	$2$	$0$	$2$	$2$	$0$	$-1$	$2$	$2$	$-1$	$-1$	$0$	$0$	$2$	$2$	$-1$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-1$	$-1$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$-1$	$-1$	$0$	$0$
4032.cm.2b1	C	$2$	$2$	$0$	$2$	$2$	$0$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$-1$	$-1$	$0$	$0$
4032.cm.2b2	C	$2$	$2$	$0$	$2$	$2$	$0$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$0$	$0$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$-1$	$-1$	$0$	$0$
4032.cm.3a	R	$3$	$-1$	$1$	$3$	$-1$	$1$	$0$	$3$	$3$	$0$	$0$	$-1$	$-1$	$3$	$3$	$0$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$0$	$0$	$3$	$3$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$0$	$0$	$-1$	$-1$
4032.cm.3b	R	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$0$	$3$	$3$	$0$	$0$	$1$	$1$	$3$	$3$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$3$	$3$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$1$
4032.cm.3c1	C	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$0$	$0$	$3$	$3$	$0$	$0$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$0$	$0$	$0$	$0$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$
4032.cm.3c2	C	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$0$	$0$	$0$	$0$	$3$	$3$	$0$	$0$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	$0$	$0$	$0$	$0$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$
4032.cm.3d1	C	$3$	$-1$	$1$	$3$	$-1$	$1$	$0$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$-1$	$-1$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$3$	$3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$-1$	$1$	$1$	$0$	$0$	$-1$	$-1$
4032.cm.3d2	C	$3$	$-1$	$1$	$3$	$-1$	$1$	$0$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$-1$	$-1$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$3$	$3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$-1$	$1$	$1$	$0$	$0$	$-1$	$-1$
4032.cm.3e1	C	$3$	$3$	$-3$	$3$	$3$	$-3$	$3$	$0$	$0$	$0$	$0$	$-3$	$-3$	$0$	$0$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$0$	$0$	$0$	$0$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$
4032.cm.3e2	C	$3$	$3$	$-3$	$3$	$3$	$-3$	$3$	$0$	$0$	$0$	$0$	$-3$	$-3$	$0$	$0$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	$0$	$0$	$0$	$0$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$
4032.cm.3f1	C	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$0$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$1$	$1$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$3$	$3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$1$
4032.cm.3f2	C	$3$	$-1$	$-1$	$3$	$-1$	$-1$	$0$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$1$	$1$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$3$	$3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$1$
4032.cm.6a1	C	$6$	$6$	$0$	$6$	$6$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_7^{-3}-2-2{\zeta }_7-2{\zeta }_7^2$	$2{\zeta }_7^{-3}+2{\zeta }_7+2{\zeta }_7^2$	$0$	$0$	$0$	$0$	$-2{\zeta }_7^{-3}-2-2{\zeta }_7-2{\zeta }_7^2$	$2{\zeta }_7^{-3}+2{\zeta }_7+2{\zeta }_7^2$	$0$	$0$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$0$	$0$
4032.cm.6a2	C	$6$	$6$	$0$	$6$	$6$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_7^{-3}+2{\zeta }_7+2{\zeta }_7^2$	$-2{\zeta }_7^{-3}-2-2{\zeta }_7-2{\zeta }_7^2$	$0$	$0$	$0$	$0$	$2{\zeta }_7^{-3}+2{\zeta }_7+2{\zeta }_7^2$	$-2{\zeta }_7^{-3}-2-2{\zeta }_7-2{\zeta }_7^2$	$0$	$0$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	$0$	$0$
4032.cm.7a	R	$7$	$7$	$7$	$-1$	$-1$	$-1$	$7$	$1$	$1$	$1$	$1$	$7$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$-1$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.7b	R	$7$	$7$	$-7$	$-1$	$-1$	$1$	$7$	$1$	$1$	$1$	$1$	$-7$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$0$	$0$	$1$	$1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.7c1	C	$7$	$7$	$7$	$-1$	$-1$	$-1$	$7$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$7$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.7c2	C	$7$	$7$	$7$	$-1$	$-1$	$-1$	$7$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$7$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.7d1	C	$7$	$7$	$-7$	$-1$	$-1$	$1$	$7$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$-7$	$1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.7d2	C	$7$	$7$	$-7$	$-1$	$-1$	$1$	$7$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$-7$	$1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.9a1	C	$9$	$-3$	$3$	$9$	$-3$	$3$	$0$	$0$	$0$	$0$	$0$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3{\zeta }_7^{-3}-3-3{\zeta }_7-3{\zeta }_7^2$	$3{\zeta }_7^{-3}+3{\zeta }_7+3{\zeta }_7^2$	$0$	$0$	$0$	$0$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	$0$	$0$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$
4032.cm.9a2	C	$9$	$-3$	$3$	$9$	$-3$	$3$	$0$	$0$	$0$	$0$	$0$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$3{\zeta }_7^{-3}+3{\zeta }_7+3{\zeta }_7^2$	$-3{\zeta }_7^{-3}-3-3{\zeta }_7-3{\zeta }_7^2$	$0$	$0$	$0$	$0$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$0$	$0$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$
4032.cm.9b1	C	$9$	$-3$	$-3$	$9$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$3$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-3{\zeta }_7^{-3}-3-3{\zeta }_7-3{\zeta }_7^2$	$3{\zeta }_7^{-3}+3{\zeta }_7+3{\zeta }_7^2$	$0$	$0$	$0$	$0$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$0$	$0$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$
4032.cm.9b2	C	$9$	$-3$	$-3$	$9$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$3$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$3{\zeta }_7^{-3}+3{\zeta }_7+3{\zeta }_7^2$	$-3{\zeta }_7^{-3}-3-3{\zeta }_7-3{\zeta }_7^2$	$0$	$0$	$0$	$0$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	${\zeta }_7^{-3}+1+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-{\zeta }_7-{\zeta }_7^2$	$0$	$0$	${\zeta }_7^{-3}+{\zeta }_7+{\zeta }_7^2$	$-{\zeta }_7^{-3}-1-{\zeta }_7-{\zeta }_7^2$
4032.cm.14a	R	$14$	$14$	$0$	$-2$	$-2$	$0$	$-7$	$2$	$2$	$-1$	$-1$	$0$	$0$	$-2$	$-2$	$1$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.14b1	C	$14$	$14$	$0$	$-2$	$-2$	$0$	$-7$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.14b2	C	$14$	$14$	$0$	$-2$	$-2$	$0$	$-7$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$0$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.21a	R	$21$	$-7$	$7$	$-3$	$1$	$-1$	$0$	$3$	$3$	$0$	$0$	$-7$	$1$	$-3$	$-3$	$0$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.21b	R	$21$	$-7$	$-7$	$-3$	$1$	$1$	$0$	$3$	$3$	$0$	$0$	$7$	$-1$	$-3$	$-3$	$0$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.21c1	C	$21$	$-7$	$7$	$-3$	$1$	$-1$	$0$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$-7$	$1$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.21c2	C	$21$	$-7$	$7$	$-3$	$1$	$-1$	$0$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$-7$	$1$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.21d1	C	$21$	$-7$	$-7$	$-3$	$1$	$1$	$0$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$7$	$-1$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
4032.cm.21d2	C	$21$	$-7$	$-7$	$-3$	$1$	$1$	$0$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$7$	$-1$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$