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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	29
261.12.a.c	$261$	$12$	261.a	1.a	$1$	$12$	$12$	$200.538$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(41\)	\(0\)	\(11906\)	\(-42544\)		$-$	$-$	$+$	$2^{13}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(3+\beta _{1})q^{2}+(979+7\beta _{1}+\beta _{2})q^{4}+\cdots\)
261.12.a.d	$261$	$12$	261.a	1.a	$1$	$14$	$14$	$200.538$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(0\)	\(5656\)	\(52444\)		$-$	$-$	$+$	$2^{12}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(992+\beta _{1}+\beta _{2})q^{4}+\cdots\)
261.12.a.e	$261$	$12$	261.a	1.a	$1$	$14$	$14$	$200.538$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-9760\)	\(85024\)		$-$	$-$	$+$	$2^{20}\cdot 3^{7}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1312+3\beta _{1}+\beta _{2})q^{4}+(-698+\cdots)q^{5}+\cdots\)
261.12.a.h	$261$	$12$	261.a	1.a	$1$	$26$	$26$	$200.538$		None	✓	$1$	$0$	\(32\)	\(0\)	\(12500\)	\(-66832\)		$+$	$+$	$+$		$\mathrm{SU}(2)$