Character table for $F_9:S_6$

The column representing the conjugacy class 5A is highlighted below.

		1A	2A	2B	2C	2D	2E	3A	3B	3C	3D	3E	4A	4B	4C	4D	4E	4F	4G	4H	4I	5A	6A	6B	6C	6D	6E	6F	6G	6H	6I	8A1	8A-1	8B1	8B-1	8C1	8C-1	10A	12A	12B	12C	12D	12E	12F	15A	20A1	20A-1	24A1	24A-1	24B1	24B-1	40A1	40A-1	40A7	40A-7
	Size	1	9	45	180	180	405	8	40	40	320	320	18	90	540	540	810	810	1080	1620	3240	144	360	360	360	360	360	1440	1440	2880	2880	18	18	810	810	1620	1620	1296	720	720	720	2160	4320	4320	1152	1296	1296	720	720	720	720	1296	1296	1296	1296
	2 P	1A	1A	1A	1A	1A	1A	3A	3B	3C	3D	3E	2A	2B	2A	2A	2A	2B	2B	2E	2E	5A	3B	3C	3A	3A	3A	3B	3C	3D	3E	4A	4A	4A	4A	4E	4E	5A	6A	6B	6C	6C	6A	6B	15A	10A	10A	12A	12A	12B	12B	20A1	20A-1	20A1	20A-1
	3 P	1A	2A	2B	2C	2D	2E	1A	1A	1A	1A	1A	4A	4B	4C	4D	4E	4F	4G	4H	4I	5A	2A	2A	2B	2C	2D	2C	2D	2C	2D	8A1	8A-1	8B1	8B-1	8C1	8C-1	10A	4A	4A	4B	4G	4C	4D	5A	20A1	20A-1	8A-1	8A1	8A-1	8A1	40A1	40A-1	40A7	40A-7
	5 P	1A	2A	2B	2C	2D	2E	3A	3B	3C	3D	3E	4A	4B	4C	4D	4E	4F	4G	4H	4I	1A	6A	6B	6C	6D	6E	6F	6G	6H	6I	8A-1	8A1	8B-1	8B1	8C-1	8C1	2A	12A	12B	12C	12D	12E	12F	3A	4A	4A	24A-1	24A1	24B-1	24B1	8A1	8A-1	8A-1	8A1
	Type
51840.bb.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
51840.bb.1b	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
51840.bb.1c	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
51840.bb.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
51840.bb.2a	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$0$	$-2$	$0$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.2b1	C	$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
51840.bb.2b2	C	$2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$2$	$2$	$2$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
51840.bb.5a	R	$5$	$5$	$1$	$-1$	$3$	$1$	$5$	$-1$	$2$	$-1$	$2$	$5$	$-1$	$-1$	$3$	$1$	$-1$	$1$	$-1$	$1$	$0$	$-1$	$2$	$1$	$-1$	$3$	$-1$	$0$	$-1$	$0$	$5$	$5$	$1$	$1$	$-1$	$-1$	$0$	$-1$	$2$	$-1$	$1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$2$	$2$	$0$	$0$	$0$	$0$
51840.bb.5b	R	$5$	$5$	$1$	$3$	$-1$	$1$	$5$	$2$	$-1$	$2$	$-1$	$5$	$-1$	$3$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$0$	$2$	$-1$	$1$	$3$	$-1$	$0$	$-1$	$0$	$-1$	$5$	$5$	$1$	$1$	$-1$	$-1$	$0$	$2$	$-1$	$-1$	$1$	$0$	$-1$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$
51840.bb.5c	R	$5$	$5$	$1$	$-3$	$1$	$1$	$5$	$2$	$-1$	$2$	$-1$	$5$	$-1$	$-3$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	$2$	$-1$	$1$	$-3$	$1$	$0$	$1$	$0$	$1$	$5$	$5$	$1$	$1$	$-1$	$-1$	$0$	$2$	$-1$	$-1$	$-1$	$0$	$1$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$
51840.bb.5d	R	$5$	$5$	$1$	$1$	$-3$	$1$	$5$	$-1$	$2$	$-1$	$2$	$5$	$-1$	$1$	$-3$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	$-1$	$2$	$1$	$1$	$-3$	$1$	$0$	$1$	$0$	$5$	$5$	$1$	$1$	$-1$	$-1$	$0$	$-1$	$2$	$-1$	$-1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$2$	$2$	$0$	$0$	$0$	$0$
51840.bb.5e	R	$5$	$5$	$1$	$-3$	$1$	$1$	$5$	$2$	$-1$	$2$	$-1$	$5$	$-1$	$3$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$0$	$2$	$-1$	$1$	$-3$	$1$	$0$	$1$	$0$	$1$	$-5$	$-5$	$-1$	$-1$	$1$	$1$	$0$	$2$	$-1$	$-1$	$-1$	$0$	$-1$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$
51840.bb.5f	R	$5$	$5$	$1$	$-1$	$3$	$1$	$5$	$-1$	$2$	$-1$	$2$	$5$	$-1$	$1$	$-3$	$1$	$-1$	$1$	$-1$	$-1$	$0$	$-1$	$2$	$1$	$-1$	$3$	$-1$	$0$	$-1$	$0$	$-5$	$-5$	$-1$	$-1$	$1$	$1$	$0$	$-1$	$2$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$1$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$
51840.bb.5g	R	$5$	$5$	$1$	$1$	$-3$	$1$	$5$	$-1$	$2$	$-1$	$2$	$5$	$-1$	$-1$	$3$	$1$	$-1$	$-1$	$-1$	$1$	$0$	$-1$	$2$	$1$	$1$	$-3$	$1$	$0$	$1$	$0$	$-5$	$-5$	$-1$	$-1$	$1$	$1$	$0$	$-1$	$2$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$
51840.bb.5h	R	$5$	$5$	$1$	$3$	$-1$	$1$	$5$	$2$	$-1$	$2$	$-1$	$5$	$-1$	$-3$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$0$	$2$	$-1$	$1$	$3$	$-1$	$0$	$-1$	$0$	$-1$	$-5$	$-5$	$-1$	$-1$	$1$	$1$	$0$	$2$	$-1$	$-1$	$1$	$0$	$1$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$
51840.bb.8a	R	$8$	$0$	$8$	$2$	$2$	$0$	$-1$	$8$	$8$	$-1$	$-1$	$0$	$8$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$8$	$0$	$0$	$-1$	$-1$	$-1$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.8b	R	$8$	$0$	$8$	$-2$	$-2$	$0$	$-1$	$8$	$8$	$-1$	$-1$	$0$	$8$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$8$	$0$	$0$	$-1$	$1$	$1$	$-2$	$-2$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$1$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.9a	R	$9$	$9$	$1$	$3$	$3$	$1$	$9$	$0$	$0$	$0$	$0$	$9$	$1$	$3$	$3$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$0$	$0$	$1$	$3$	$3$	$0$	$0$	$0$	$0$	$9$	$9$	$1$	$1$	$1$	$1$	$-1$	$0$	$0$	$1$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
51840.bb.9b	R	$9$	$9$	$1$	$-3$	$-3$	$1$	$9$	$0$	$0$	$0$	$0$	$9$	$1$	$-3$	$-3$	$1$	$1$	$1$	$1$	$1$	$-1$	$0$	$0$	$1$	$-3$	$-3$	$0$	$0$	$0$	$0$	$9$	$9$	$1$	$1$	$1$	$1$	$-1$	$0$	$0$	$1$	$1$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
51840.bb.9c	R	$9$	$9$	$1$	$-3$	$-3$	$1$	$9$	$0$	$0$	$0$	$0$	$9$	$1$	$3$	$3$	$1$	$1$	$1$	$1$	$-1$	$-1$	$0$	$0$	$1$	$-3$	$-3$	$0$	$0$	$0$	$0$	$-9$	$-9$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$1$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$
51840.bb.9d	R	$9$	$9$	$1$	$3$	$3$	$1$	$9$	$0$	$0$	$0$	$0$	$9$	$1$	$-3$	$-3$	$1$	$1$	$-1$	$1$	$1$	$-1$	$0$	$0$	$1$	$3$	$3$	$0$	$0$	$0$	$0$	$-9$	$-9$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$
51840.bb.10a	R	$10$	$10$	$2$	$0$	$0$	$2$	$10$	$-2$	$4$	$-2$	$4$	$-10$	$-2$	$0$	$0$	$-2$	$-2$	$0$	$2$	$0$	$0$	$-2$	$4$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-4$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.10b	R	$10$	$10$	$2$	$0$	$0$	$2$	$10$	$4$	$-2$	$4$	$-2$	$-10$	$-2$	$0$	$0$	$-2$	$-2$	$0$	$2$	$0$	$0$	$4$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.10c	R	$10$	$10$	$-2$	$-2$	$2$	$-2$	$10$	$1$	$1$	$1$	$1$	$10$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$-2$	$-2$	$2$	$1$	$-1$	$1$	$-1$	$10$	$10$	$-2$	$-2$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$
51840.bb.10d	R	$10$	$10$	$-2$	$2$	$-2$	$-2$	$10$	$1$	$1$	$1$	$1$	$10$	$0$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$-2$	$2$	$-2$	$-1$	$1$	$-1$	$1$	$10$	$10$	$-2$	$-2$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$-1$	$1$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$
51840.bb.10e	R	$10$	$10$	$-2$	$-2$	$2$	$-2$	$10$	$1$	$1$	$1$	$1$	$10$	$0$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$-2$	$-2$	$2$	$1$	$-1$	$1$	$-1$	$-10$	$-10$	$2$	$2$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$-1$	$1$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
51840.bb.10f	R	$10$	$10$	$-2$	$2$	$-2$	$-2$	$10$	$1$	$1$	$1$	$1$	$10$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$-2$	$2$	$-2$	$-1$	$1$	$-1$	$1$	$-10$	$-10$	$2$	$2$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
51840.bb.10g1	C	$10$	$-10$	$2$	$0$	$0$	$-2$	$10$	$-2$	$4$	$-2$	$4$	$0$	$-2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$-4$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-5{\zeta }_8-5{\zeta }_8^3$	$5{\zeta }_8+5{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$0$	$0$	$0$	$0$
51840.bb.10g2	C	$10$	$-10$	$2$	$0$	$0$	$-2$	$10$	$-2$	$4$	$-2$	$4$	$0$	$-2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$-4$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$5{\zeta }_8+5{\zeta }_8^3$	$-5{\zeta }_8-5{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$0$	$0$	$0$	$0$
51840.bb.10h1	C	$10$	$-10$	$2$	$0$	$0$	$-2$	$10$	$4$	$-2$	$4$	$-2$	$0$	$-2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-4$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-5{\zeta }_8-5{\zeta }_8^3$	$5{\zeta }_8+5{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$
51840.bb.10h2	C	$10$	$-10$	$2$	$0$	$0$	$-2$	$10$	$4$	$-2$	$4$	$-2$	$0$	$-2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-4$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$5{\zeta }_8+5{\zeta }_8^3$	$-5{\zeta }_8-5{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$
51840.bb.16a	R	$16$	$16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$16$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$16$	$16$	$0$	$0$	$0$	$0$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$-2$	$-2$	$-2$	$-2$	$1$	$1$	$1$	$1$
51840.bb.16b	R	$16$	$16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$16$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-16$	$-16$	$0$	$0$	$0$	$0$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$2$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$-1$
51840.bb.16c1	C	$16$	$16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$-16$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2$	$2$	$0$	$0$	$0$	$0$	$1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$
51840.bb.16c2	C	$16$	$16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$-16$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2$	$2$	$0$	$0$	$0$	$0$	$1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$	$2{\zeta }_{20}^3-{\zeta }_{20}^5+2{\zeta }_{20}^7$	$-2{\zeta }_{20}^3+{\zeta }_{20}^5-2{\zeta }_{20}^7$
51840.bb.16d1	C	$16$	$-16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-8{\zeta }_{40}^5-8{\zeta }_{40}^{15}$	$8{\zeta }_{40}^5+8{\zeta }_{40}^{15}$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$
51840.bb.16d2	C	$16$	$-16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$8{\zeta }_{40}^5+8{\zeta }_{40}^{15}$	$-8{\zeta }_{40}^5-8{\zeta }_{40}^{15}$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$
51840.bb.16d3	C	$16$	$-16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-8{\zeta }_{40}^5-8{\zeta }_{40}^{15}$	$8{\zeta }_{40}^5+8{\zeta }_{40}^{15}$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$
51840.bb.16d4	C	$16$	$-16$	$0$	$0$	$0$	$0$	$16$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$8{\zeta }_{40}^5+8{\zeta }_{40}^{15}$	$-8{\zeta }_{40}^5-8{\zeta }_{40}^{15}$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-2{\zeta }_{40}^6+{\zeta }_{40}^{10}-2{\zeta }_{40}^{14}$	$2{\zeta }_{40}^6-{\zeta }_{40}^{10}+2{\zeta }_{40}^{14}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	${\zeta }_{40}^5+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^5-{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{15}$
51840.bb.18a	R	$18$	$18$	$2$	$0$	$0$	$2$	$18$	$0$	$0$	$0$	$0$	$-18$	$2$	$0$	$0$	$-2$	$2$	$0$	$-2$	$0$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.18b1	C	$18$	$-18$	$2$	$0$	$0$	$-2$	$18$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$-9{\zeta }_8-9{\zeta }_8^3$	$9{\zeta }_8+9{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
51840.bb.18b2	C	$18$	$-18$	$2$	$0$	$0$	$-2$	$18$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$9{\zeta }_8+9{\zeta }_8^3$	$-9{\zeta }_8-9{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
51840.bb.20a	R	$20$	$20$	$-4$	$0$	$0$	$-4$	$20$	$2$	$2$	$2$	$2$	$-20$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.20b1	C	$20$	$-20$	$-4$	$0$	$0$	$4$	$20$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$-10{\zeta }_8-10{\zeta }_8^3$	$10{\zeta }_8+10{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$
51840.bb.20b2	C	$20$	$-20$	$-4$	$0$	$0$	$4$	$20$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$10{\zeta }_8+10{\zeta }_8^3$	$-10{\zeta }_8-10{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$
51840.bb.40a	R	$40$	$0$	$8$	$-2$	$6$	$0$	$-5$	$-8$	$16$	$1$	$-2$	$0$	$-8$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-1$	$1$	$-3$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.40b	R	$40$	$0$	$8$	$6$	$-2$	$0$	$-5$	$16$	$-8$	$-2$	$1$	$0$	$-8$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-1$	$-3$	$1$	$0$	$-2$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.40c	R	$40$	$0$	$8$	$-6$	$2$	$0$	$-5$	$16$	$-8$	$-2$	$1$	$0$	$-8$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-1$	$3$	$-1$	$0$	$2$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.40d	R	$40$	$0$	$8$	$2$	$-6$	$0$	$-5$	$-8$	$16$	$1$	$-2$	$0$	$-8$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$3$	$2$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.72a	R	$72$	$0$	$8$	$6$	$6$	$0$	$-9$	$0$	$0$	$0$	$0$	$0$	$8$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-8$	$0$	$0$	$-1$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$1$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.72b	R	$72$	$0$	$8$	$-6$	$-6$	$0$	$-9$	$0$	$0$	$0$	$0$	$0$	$8$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$-8$	$0$	$0$	$-1$	$3$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.80a	R	$80$	$0$	$-16$	$-4$	$4$	$0$	$-10$	$8$	$8$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$2$	$-2$	$-1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.80b	R	$80$	$0$	$-16$	$4$	$-4$	$0$	$-10$	$8$	$8$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$2$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.bb.128a	R	$128$	$0$	$0$	$0$	$0$	$0$	$-16$	$-16$	$-16$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$