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Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	11
22.8.a.a	$22$	$8$	22.a	1.a	$1$	$1$	$1$	$6.872$	\(\Q\)	None	✓	$1$	$1$	\(-8\)	\(-19\)	\(317\)	\(-1030\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}-19q^{3}+2^{6}q^{4}+317q^{5}+\cdots\)
22.8.a.b	$22$	$8$	22.a	1.a	$1$	$1$	$1$	$6.872$	\(\Q\)	None	✓	$1$	$0$	\(-8\)	\(91\)	\(185\)	\(-722\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}+91q^{3}+2^{6}q^{4}+185q^{5}+\cdots\)
22.8.a.c	$22$	$8$	22.a	1.a	$1$	$1$	$1$	$6.872$	\(\Q\)	None	✓	$1$	$1$	\(8\)	\(-21\)	\(-551\)	\(62\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}-21q^{3}+2^{6}q^{4}-551q^{5}+\cdots\)