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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
147.2.a.a	$147$	$2$	147.a	1.a	$1$	$1$	$1$	$1.174$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}+3q^{8}+\cdots\)
147.2.a.b	$147$	$2$	147.a	1.a	$1$	$1$	$1$	$1.174$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(2\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}+2q^{5}-2q^{6}+\cdots\)
147.2.a.c	$147$	$2$	147.a	1.a	$1$	$1$	$1$	$1.174$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(-2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}-2q^{5}+2q^{6}+\cdots\)
147.2.a.e	$147$	$2$	147.a	1.a	$1$	$2$	$2$	$1.174$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(2+\cdots)q^{5}+\cdots\)