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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	7	13
273.8.a.b	$273$	$8$	273.a	1.a	$1$	$9$	$9$	$85.281$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-243\)	\(330\)	\(-3087\)		$+$	$+$	$+$	$+$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3^{3}q^{3}+(40-\beta _{1}+\beta _{3})q^{4}+\cdots\)
273.8.a.e	$273$	$8$	273.a	1.a	$1$	$11$	$11$	$85.281$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(25\)	\(-297\)	\(170\)	\(3773\)		$+$	$-$	$-$	$+$	$2^{7}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}-3^{3}q^{3}+(58+4\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
273.8.a.g	$273$	$8$	273.a	1.a	$1$	$12$	$12$	$85.281$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(324\)	\(-123\)	\(-4116\)		$-$	$+$	$-$	$+$	$2^{9}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3^{3}q^{3}+(85+\beta _{2})q^{4}+\cdots\)
273.8.a.h	$273$	$8$	273.a	1.a	$1$	$12$	$12$	$85.281$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(27\)	\(324\)	\(123\)	\(4116\)		$-$	$-$	$+$	$+$	$2^{7}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}+3^{3}q^{3}+(76+3\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)