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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	19	53
4028.2.a.c	$4028$	$2$	4028.a	1.a	$1$	$19$	$19$	$32.164$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-5\)	\(-10\)		$-$	$-$	$+$	$+$	$3^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{10}q^{5}+(-1+\beta _{8})q^{7}+\cdots\)
4028.2.a.d	$4028$	$2$	4028.a	1.a	$1$	$19$	$19$	$32.164$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-2\)	\(-11\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{6}q^{5}+(-1+\beta _{11})q^{7}+\cdots\)
4028.2.a.e	$4028$	$2$	4028.a	1.a	$1$	$19$	$19$	$32.164$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{3}q^{5}-\beta _{18}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
4028.2.a.f	$4028$	$2$	4028.a	1.a	$1$	$19$	$19$	$32.164$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(4\)	\(13\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{7}q^{5}+(1+\beta _{8})q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)