L-function search results

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank
Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label
Root angle	Primitive	Origin	Exclude origin	Self-dual
Arithmetic

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-5-5.2-r1-0-0	$0.537$	$0.537$	$1$	$5$	5.2	$1$	$$	$0$	✓	✓			$0.0881$	$0$	$6.18357$	Dirichlet character \(\chi_{5} (2, \cdot) \)
1-5-5.3-r1-0-0	$0.537$	$0.537$	$1$	$5$	5.3	$1$	$$	$0$	✓	✓			$-0.0881$	$0$	$4.13290$	Dirichlet character \(\chi_{5} (3, \cdot) \)