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

Results (displaying both 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	5
15.22.a.b	$15$	$22$	15.a	1.a	$1$	$3$	$3$	$41.922$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-2300\)	\(177147\)	\(29296875\)	\(465666872\)		$-$	$-$	$+$	$2^{5}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-767-\beta _{1})q^{2}+3^{10}q^{3}+(421908+\cdots)q^{4}+\cdots\)
15.22.a.c	$15$	$22$	15.a	1.a	$1$	$3$	$3$	$41.922$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(702\)	\(-177147\)	\(-29296875\)	\(-2072418204\)		$+$	$+$	$+$	$2^{5}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+(234+\beta _{1})q^{2}-3^{10}q^{3}+(1748076+\cdots)q^{4}+\cdots\)