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

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	19
418.2.a.a	$418$	$2$	418.a	1.a	$1$	$1$	$1$	$3.338$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-2\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-3q^{7}+\cdots\)
418.2.a.d	$418$	$2$	418.a	1.a	$1$	$2$	$2$	$3.338$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
418.2.a.g	$418$	$2$	418.a	1.a	$1$	$3$	$3$	$3.338$	3.3.621.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-3\)	\(-6\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)