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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	23
207.8.a.a	$207$	$8$	207.a	1.a	$1$	$5$	$5$	$64.664$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(266\)	\(-496\)		$-$	$+$	$-$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(54+2\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
207.8.a.b	$207$	$8$	207.a	1.a	$1$	$5$	$5$	$64.664$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(16\)	\(0\)	\(56\)	\(-1156\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(3-\beta _{1})q^{2}+(51-7\beta _{1}-3\beta _{2}+\beta _{4})q^{4}+\cdots\)
207.8.a.e	$207$	$8$	207.a	1.a	$1$	$8$	$8$	$64.664$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-24\)	\(0\)	\(-378\)	\(126\)		$-$	$+$	$-$	$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{2}+(70-4\beta _{1}+\beta _{2})q^{4}+\cdots\)
207.8.a.g	$207$	$8$	207.a	1.a	$1$	$12$	$12$	$64.664$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-16\)	\(0\)	\(-500\)	\(-228\)		$+$	$-$	$-$	$2^{9}\cdot 3^{7}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(53+2\beta _{1}+\beta _{2})q^{4}+\cdots\)