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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (4 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	7
224.4.a.a	$224$	$4$	224.a	1.a	$1$	$1$	$1$	$13.216$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+7q^{7}-23q^{9}+20q^{11}-20q^{13}+\cdots\)
224.4.a.b	$224$	$4$	224.a	1.a	$1$	$1$	$1$	$13.216$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-7q^{7}-23q^{9}-20q^{11}-20q^{13}+\cdots\)
224.4.a.c	$224$	$4$	224.a	1.a	$1$	$2$	$2$	$13.216$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-6\)	\(14\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{3}+(-3+\beta )q^{5}+7q^{7}+\cdots\)
224.4.a.f	$224$	$4$	224.a	1.a	$1$	$3$	$3$	$13.216$	3.3.621.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(-21\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-2-2\beta _{1}-\beta _{2})q^{5}-7q^{7}+\cdots\)