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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	43
387.8.a.a	$387$	$8$	387.a	1.a	$1$	$10$	$10$	$120.893$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(122\)	\(-2052\)		$-$	$+$	$-$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(37+\beta _{1}+\beta _{2})q^{4}+(13-6\beta _{1}+\cdots)q^{5}+\cdots\)
387.8.a.d	$387$	$8$	387.a	1.a	$1$	$13$	$13$	$120.893$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-16\)	\(0\)	\(-998\)	\(1360\)		$-$	$+$	$-$	$2^{6}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(70+2\beta _{1}+\beta _{2})q^{4}+\cdots\)
387.8.a.e	$387$	$8$	387.a	1.a	$1$	$13$	$13$	$120.893$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(0\)	\(266\)	\(6\)		$-$	$+$	$-$	$2^{12}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(73-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
387.8.a.g	$387$	$8$	387.a	1.a	$1$	$22$	$22$	$120.893$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2046\)		$+$	$-$	$-$		$\mathrm{SU}(2)$