Character table for $C_{10}.S_4$

The column representing the conjugacy class 40A11 is highlighted below.

		1A	2A	3A	4A	4B	5A1	5A-1	5A2	5A-2	6A	8A1	8A3	10A1	10A-1	10A3	10A-3	15A1	15A-1	15A2	15A-2	20A1	20A-1	20A3	20A-3	20B1	20B-1	20B3	20B-3	30A1	30A-1	30A7	30A-7	40A1	40A-1	40A3	40A-3	40A7	40A-7	40A11	40A-11
	Size	1	1	8	6	12	1	1	1	1	8	6	6	1	1	1	1	8	8	8	8	6	6	6	6	12	12	12	12	8	8	8	8	6	6	6	6	6	6	6	6
	2 P	1A	1A	3A	2A	2A	5A2	5A-2	5A-1	5A1	3A	4A	4A	5A1	5A-1	5A-2	5A2	15A2	15A-2	15A-1	15A1	10A1	10A-1	10A3	10A-3	10A1	10A-1	10A3	10A-3	15A1	15A-1	15A2	15A-2	20A1	20A-1	20A3	20A-3	20A-3	20A3	20A1	20A-1
	3 P	1A	2A	1A	4A	4B	5A-2	5A2	5A1	5A-1	2A	8A3	8A1	10A3	10A-3	10A-1	10A1	5A2	5A-2	5A-1	5A1	20A3	20A-3	20A-1	20A1	20B3	20B-3	20B-1	20B1	10A-3	10A3	10A-1	10A1	40A3	40A-3	40A-1	40A1	40A11	40A-11	40A-7	40A7
	5 P	1A	2A	3A	4A	4B	1A	1A	1A	1A	6A	8A3	8A1	2A	2A	2A	2A	3A	3A	3A	3A	4A	4A	4A	4A	4B	4B	4B	4B	6A	6A	6A	6A	8A1	8A1	8A3	8A3	8A1	8A1	8A3	8A3
	Type
240.102.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
240.102.1b	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
240.102.1c1	C	$1$	$1$	$1$	$1$	$1$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	$1$	$1$	$1$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$
240.102.1c2	C	$1$	$1$	$1$	$1$	$1$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	$1$	$1$	$1$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^2$
240.102.1c3	C	$1$	$1$	$1$	$1$	$1$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	$1$	$1$	$1$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-1}$
240.102.1c4	C	$1$	$1$	$1$	$1$	$1$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	$1$	$1$	$1$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5$
240.102.1d1	C	$1$	$1$	$1$	$1$	$-1$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	$1$	$-1$	$-1$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-2}$
240.102.1d2	C	$1$	$1$	$1$	$1$	$-1$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	$1$	$-1$	$-1$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^2$
240.102.1d3	C	$1$	$1$	$1$	$1$	$-1$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	$1$	$-1$	$-1$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-2}$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-1}$
240.102.1d4	C	$1$	$1$	$1$	$1$	$-1$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	$1$	$-1$	$-1$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^2$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5$
240.102.2a	R	$2$	$2$	$-1$	$2$	$0$	$2$	$2$	$2$	$2$	$-1$	$0$	$0$	$2$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.2b1	S	$2$	$-2$	$-1$	$0$	$0$	$2$	$2$	$2$	$2$	$1$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-2$	$-2$	$-2$	$-2$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
240.102.2b2	S	$2$	$-2$	$-1$	$0$	$0$	$2$	$2$	$2$	$2$	$1$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-2$	$-2$	$-2$	$-2$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
240.102.2c1	C	$2$	$2$	$-1$	$2$	$0$	$2{\zeta }_5^{-2}$	$2{\zeta }_5$	$2{\zeta }_5^{-1}$	$2{\zeta }_5^2$	$-1$	$0$	$0$	$2{\zeta }_5^2$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^{-1}$	$2{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$2{\zeta }_5$	$2{\zeta }_5^{-1}$	$2{\zeta }_5^2$	$2{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.2c2	C	$2$	$2$	$-1$	$2$	$0$	$2{\zeta }_5^2$	$2{\zeta }_5^{-1}$	$2{\zeta }_5$	$2{\zeta }_5^{-2}$	$-1$	$0$	$0$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^2$	$2{\zeta }_5$	$2{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$2{\zeta }_5^{-1}$	$2{\zeta }_5$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.2c3	C	$2$	$2$	$-1$	$2$	$0$	$2{\zeta }_5^{-1}$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^2$	$2{\zeta }_5$	$-1$	$0$	$0$	$2{\zeta }_5$	$2{\zeta }_5^{-1}$	$2{\zeta }_5^2$	$2{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^2$	$2{\zeta }_5$	$2{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.2c4	C	$2$	$2$	$-1$	$2$	$0$	$2{\zeta }_5$	$2{\zeta }_5^2$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^{-1}$	$-1$	$0$	$0$	$2{\zeta }_5^{-1}$	$2{\zeta }_5$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$2{\zeta }_5^2$	$2{\zeta }_5^{-2}$	$2{\zeta }_5^{-1}$	$2{\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.2d1	C	$2$	$-2$	$-1$	$0$	$0$	$-2{\zeta }_{40}^4$	$2{\zeta }_{40}^8$	$-2{\zeta }_{40}^{12}$	$2{\zeta }_{40}^{16}$	$1$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$-2{\zeta }_{40}^{16}$	$2{\zeta }_{40}^4$	$2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^8$	${\zeta }_{40}^4$	$-{\zeta }_{40}^{16}$	$-{\zeta }_{40}^8$	${\zeta }_{40}^{12}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^8$	$-{\zeta }_{40}^4$	${\zeta }_{40}^{16}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^{11}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$
240.102.2d2	C	$2$	$-2$	$-1$	$0$	$0$	$2{\zeta }_{40}^{16}$	$-2{\zeta }_{40}^{12}$	$2{\zeta }_{40}^8$	$-2{\zeta }_{40}^4$	$1$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{16}$	$-2{\zeta }_{40}^8$	$2{\zeta }_{40}^{12}$	$-{\zeta }_{40}^{16}$	${\zeta }_{40}^4$	${\zeta }_{40}^{12}$	$-{\zeta }_{40}^8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{40}^8$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^{16}$	$-{\zeta }_{40}^4$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^{11}$
240.102.2d3	C	$2$	$-2$	$-1$	$0$	$0$	$-2{\zeta }_{40}^4$	$2{\zeta }_{40}^8$	$-2{\zeta }_{40}^{12}$	$2{\zeta }_{40}^{16}$	$1$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	$-2{\zeta }_{40}^{16}$	$2{\zeta }_{40}^4$	$2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^8$	${\zeta }_{40}^4$	$-{\zeta }_{40}^{16}$	$-{\zeta }_{40}^8$	${\zeta }_{40}^{12}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^8$	$-{\zeta }_{40}^4$	${\zeta }_{40}^{16}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^{11}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$
240.102.2d4	C	$2$	$-2$	$-1$	$0$	$0$	$2{\zeta }_{40}^{16}$	$-2{\zeta }_{40}^{12}$	$2{\zeta }_{40}^8$	$-2{\zeta }_{40}^4$	$1$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	$2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{16}$	$-2{\zeta }_{40}^8$	$2{\zeta }_{40}^{12}$	$-{\zeta }_{40}^{16}$	${\zeta }_{40}^4$	${\zeta }_{40}^{12}$	$-{\zeta }_{40}^8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{40}^8$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^{16}$	$-{\zeta }_{40}^4$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	${\zeta }_{40}-{\zeta }_{40}^{11}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$
240.102.2d5	C	$2$	$-2$	$-1$	$0$	$0$	$-2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^4$	$2{\zeta }_{40}^{16}$	$2{\zeta }_{40}^8$	$1$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$-2{\zeta }_{40}^8$	$2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^{16}$	$2{\zeta }_{40}^4$	${\zeta }_{40}^{12}$	$-{\zeta }_{40}^8$	${\zeta }_{40}^4$	$-{\zeta }_{40}^{16}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{40}^{16}$	$-{\zeta }_{40}^4$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^8$	${\zeta }_{40}-{\zeta }_{40}^{11}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$
240.102.2d6	C	$2$	$-2$	$-1$	$0$	$0$	$2{\zeta }_{40}^8$	$2{\zeta }_{40}^{16}$	$-2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{12}$	$1$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^8$	$2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{16}$	$-{\zeta }_{40}^8$	${\zeta }_{40}^{12}$	$-{\zeta }_{40}^{16}$	${\zeta }_{40}^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{40}^4$	${\zeta }_{40}^{16}$	${\zeta }_{40}^8$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	${\zeta }_{40}-{\zeta }_{40}^{11}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$
240.102.2d7	C	$2$	$-2$	$-1$	$0$	$0$	$-2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^4$	$2{\zeta }_{40}^{16}$	$2{\zeta }_{40}^8$	$1$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	$-2{\zeta }_{40}^8$	$2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^{16}$	$2{\zeta }_{40}^4$	${\zeta }_{40}^{12}$	$-{\zeta }_{40}^8$	${\zeta }_{40}^4$	$-{\zeta }_{40}^{16}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{40}^{16}$	$-{\zeta }_{40}^4$	$-{\zeta }_{40}^{12}$	${\zeta }_{40}^8$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^{11}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$
240.102.2d8	C	$2$	$-2$	$-1$	$0$	$0$	$2{\zeta }_{40}^8$	$2{\zeta }_{40}^{16}$	$-2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{12}$	$1$	${\zeta }_{40}^{-5}+{\zeta }_{40}^5$	$-{\zeta }_{40}^{-5}-{\zeta }_{40}^5$	$2{\zeta }_{40}^{12}$	$-2{\zeta }_{40}^8$	$2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{16}$	$-{\zeta }_{40}^8$	${\zeta }_{40}^{12}$	$-{\zeta }_{40}^{16}$	${\zeta }_{40}^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{40}^4$	${\zeta }_{40}^{16}$	${\zeta }_{40}^8$	$-{\zeta }_{40}^{12}$	$-{\zeta }_{40}^3+{\zeta }_{40}^7-{\zeta }_{40}^9-{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	${\zeta }_{40}-{\zeta }_{40}^5-{\zeta }_{40}^7+{\zeta }_{40}^9-{\zeta }_{40}^{13}$	${\zeta }_{40}-{\zeta }_{40}^{11}$	$-{\zeta }_{40}+{\zeta }_{40}^{11}$	$-{\zeta }_{40}+{\zeta }_{40}^5+{\zeta }_{40}^7-{\zeta }_{40}^9+{\zeta }_{40}^{13}$	$-{\zeta }_{40}^3-{\zeta }_{40}^{13}$	${\zeta }_{40}^3-{\zeta }_{40}^7+{\zeta }_{40}^9+{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	${\zeta }_{40}^3+{\zeta }_{40}^{13}$
240.102.3a	R	$3$	$3$	$0$	$-1$	$1$	$3$	$3$	$3$	$3$	$0$	$-1$	$-1$	$3$	$3$	$3$	$3$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
240.102.3b	R	$3$	$3$	$0$	$-1$	$-1$	$3$	$3$	$3$	$3$	$0$	$1$	$1$	$3$	$3$	$3$	$3$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
240.102.3c1	C	$3$	$3$	$0$	$-1$	$1$	$3{\zeta }_5^{-2}$	$3{\zeta }_5$	$3{\zeta }_5^{-1}$	$3{\zeta }_5^2$	$0$	$-1$	$-1$	$3{\zeta }_5^2$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^{-1}$	$3{\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-2}$
240.102.3c2	C	$3$	$3$	$0$	$-1$	$1$	$3{\zeta }_5^2$	$3{\zeta }_5^{-1}$	$3{\zeta }_5$	$3{\zeta }_5^{-2}$	$0$	$-1$	$-1$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^2$	$3{\zeta }_5$	$3{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^2$
240.102.3c3	C	$3$	$3$	$0$	$-1$	$1$	$3{\zeta }_5^{-1}$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^2$	$3{\zeta }_5$	$0$	$-1$	$-1$	$3{\zeta }_5$	$3{\zeta }_5^{-1}$	$3{\zeta }_5^2$	$3{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-2}$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-1}$
240.102.3c4	C	$3$	$3$	$0$	$-1$	$1$	$3{\zeta }_5$	$3{\zeta }_5^2$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^{-1}$	$0$	$-1$	$-1$	$3{\zeta }_5^{-1}$	$3{\zeta }_5$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^2$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5$
240.102.3d1	C	$3$	$3$	$0$	$-1$	$-1$	$3{\zeta }_5^{-2}$	$3{\zeta }_5$	$3{\zeta }_5^{-1}$	$3{\zeta }_5^2$	$0$	$1$	$1$	$3{\zeta }_5^2$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^{-1}$	$3{\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$0$	$0$	$0$	$0$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$
240.102.3d2	C	$3$	$3$	$0$	$-1$	$-1$	$3{\zeta }_5^2$	$3{\zeta }_5^{-1}$	$3{\zeta }_5$	$3{\zeta }_5^{-2}$	$0$	$1$	$1$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^2$	$3{\zeta }_5$	$3{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^2$
240.102.3d3	C	$3$	$3$	$0$	$-1$	$-1$	$3{\zeta }_5^{-1}$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^2$	$3{\zeta }_5$	$0$	$1$	$1$	$3{\zeta }_5$	$3{\zeta }_5^{-1}$	$3{\zeta }_5^2$	$3{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$0$	$0$	$0$	$0$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-1}$
240.102.3d4	C	$3$	$3$	$0$	$-1$	$-1$	$3{\zeta }_5$	$3{\zeta }_5^2$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^{-1}$	$0$	$1$	$1$	$3{\zeta }_5^{-1}$	$3{\zeta }_5$	$3{\zeta }_5^{-2}$	$3{\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5$
240.102.4a	S	$4$	$-4$	$1$	$0$	$0$	$4$	$4$	$4$	$4$	$-1$	$0$	$0$	$-4$	$-4$	$-4$	$-4$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.4b1	C	$4$	$-4$	$1$	$0$	$0$	$4{\zeta }_5^{-2}$	$4{\zeta }_5$	$4{\zeta }_5^{-1}$	$4{\zeta }_5^2$	$-1$	$0$	$0$	$-4{\zeta }_5^2$	$-4{\zeta }_5^{-2}$	$-4{\zeta }_5^{-1}$	$-4{\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.4b2	C	$4$	$-4$	$1$	$0$	$0$	$4{\zeta }_5^2$	$4{\zeta }_5^{-1}$	$4{\zeta }_5$	$4{\zeta }_5^{-2}$	$-1$	$0$	$0$	$-4{\zeta }_5^{-2}$	$-4{\zeta }_5^2$	$-4{\zeta }_5$	$-4{\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.4b3	C	$4$	$-4$	$1$	$0$	$0$	$4{\zeta }_5^{-1}$	$4{\zeta }_5^{-2}$	$4{\zeta }_5^2$	$4{\zeta }_5$	$-1$	$0$	$0$	$-4{\zeta }_5$	$-4{\zeta }_5^{-1}$	$-4{\zeta }_5^2$	$-4{\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
240.102.4b4	C	$4$	$-4$	$1$	$0$	$0$	$4{\zeta }_5$	$4{\zeta }_5^2$	$4{\zeta }_5^{-2}$	$4{\zeta }_5^{-1}$	$-1$	$0$	$0$	$-4{\zeta }_5^{-1}$	$-4{\zeta }_5$	$-4{\zeta }_5^{-2}$	$-4{\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$