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

Results (5 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	3	59
354.6.a.a	$354$	$6$	354.a	1.a	$1$	$1$	$1$	$56.776$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(-9\)	\(10\)	\(144\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+10q^{5}-6^{2}q^{6}+\cdots\)
354.6.a.e	$354$	$6$	354.a	1.a	$1$	$5$	$5$	$56.776$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(20\)	\(-45\)	\(166\)	\(-198\)		$-$	$+$	$+$	$-$	$2^{2}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(33-\beta _{2})q^{5}+\cdots\)
354.6.a.g	$354$	$6$	354.a	1.a	$1$	$6$	$6$	$56.776$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(-54\)	\(4\)	\(-54\)		$+$	$+$	$-$	$-$	$2^{3}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(1-\beta _{5})q^{5}+\cdots\)
354.6.a.h	$354$	$6$	354.a	1.a	$1$	$8$	$8$	$56.776$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-32\)	\(72\)	\(40\)	\(181\)		$+$	$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(5+\beta _{1})q^{5}+\cdots\)
354.6.a.i	$354$	$6$	354.a	1.a	$1$	$8$	$8$	$56.776$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(32\)	\(72\)	\(96\)	\(181\)		$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(12-\beta _{1})q^{5}+\cdots\)