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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Results (24 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-160-160.107-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.107	$0$	$$	$0$	✓	✓			$0.119$	$0$	$1.86989$	Dirichlet character \(\chi_{160} (107, \cdot) \)
1-160-160.109-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.109	$0$	$$	$0$	✓	✓			$0.218$	$0$	$2.22519$	Dirichlet character \(\chi_{160} (109, \cdot) \)
1-160-160.123-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.123	$0$	$$	$0$	✓	✓			$0.193$	$0$	$2.01563$	Dirichlet character \(\chi_{160} (123, \cdot) \)
1-160-160.147-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.147	$0$	$$	$0$	✓	✓			$-0.193$	$0$	$1.12255$	Dirichlet character \(\chi_{160} (147, \cdot) \)
1-160-160.149-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.149	$0$	$$	$0$	✓	✓			$0.0312$	$0$	$1.15923$	Dirichlet character \(\chi_{160} (149, \cdot) \)
1-160-160.27-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.27	$0$	$$	$0$	✓	✓			$-0.130$	$0$	$1.12370$	Dirichlet character \(\chi_{160} (27, \cdot) \)
1-160-160.29-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.29	$0$	$$	$0$	✓	✓			$-0.0312$	$0$	$1.27518$	Dirichlet character \(\chi_{160} (29, \cdot) \)
1-160-160.3-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.3	$0$	$$	$0$	✓	✓			$-0.119$	$0$	$1.45551$	Dirichlet character \(\chi_{160} (3, \cdot) \)
1-160-160.43-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.43	$0$	$$	$0$	✓	✓			$0.443$	$0$	$0.0676801$	Dirichlet character \(\chi_{160} (43, \cdot) \)
1-160-160.67-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.67	$0$	$$	$0$	✓	✓			$-0.443$	$0$	$2.50518$	Dirichlet character \(\chi_{160} (67, \cdot) \)
1-160-160.69-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.69	$0$	$$	$0$	✓	✓			$-0.218$	$0$	$1.10974$	Dirichlet character \(\chi_{160} (69, \cdot) \)
1-160-160.83-r0-0-0	$0.743$	$0.743$	$1$	$2^{5} \cdot 5$	160.83	$0$	$$	$0$	✓	✓			$0.130$	$0$	$1.45868$	Dirichlet character \(\chi_{160} (83, \cdot) \)
1-160-160.117-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.117	$1$	$$	$0$	✓	✓			$-0.130$	$0$	$0.709716$	Dirichlet character \(\chi_{160} (117, \cdot) \)
1-160-160.13-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.13	$1$	$$	$0$	✓	✓			$0.380$	$0$	$1.90195$	Dirichlet character \(\chi_{160} (13, \cdot) \)
1-160-160.133-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.133	$1$	$$	$0$	✓	✓			$-0.0568$	$0$	$0.973024$	Dirichlet character \(\chi_{160} (133, \cdot) \)
1-160-160.139-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.139	$1$	$$	$0$	✓	✓			$-0.218$	$0$	$0.812793$	Dirichlet character \(\chi_{160} (139, \cdot) \)
1-160-160.157-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.157	$1$	$$	$0$	✓	✓			$-0.193$	$0$	$0.998173$	Dirichlet character \(\chi_{160} (157, \cdot) \)
1-160-160.19-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.19	$1$	$$	$0$	✓	✓			$0.468$	$0$	$0.250306$	Dirichlet character \(\chi_{160} (19, \cdot) \)
1-160-160.37-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.37	$1$	$$	$0$	✓	✓			$-0.380$	$0$	$0.0668900$	Dirichlet character \(\chi_{160} (37, \cdot) \)
1-160-160.53-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.53	$1$	$$	$0$	✓	✓			$0.193$	$0$	$1.59529$	Dirichlet character \(\chi_{160} (53, \cdot) \)
1-160-160.59-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.59	$1$	$$	$0$	✓	✓			$-0.468$	$0$	$1.90169$	Dirichlet character \(\chi_{160} (59, \cdot) \)
1-160-160.77-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.77	$1$	$$	$0$	✓	✓			$0.0568$	$0$	$0.896483$	Dirichlet character \(\chi_{160} (77, \cdot) \)
1-160-160.93-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.93	$1$	$$	$0$	✓	✓			$0.130$	$0$	$0.908100$	Dirichlet character \(\chi_{160} (93, \cdot) \)
1-160-160.99-r1-0-0	$17.1$	$17.1$	$1$	$2^{5} \cdot 5$	160.99	$1$	$$	$0$	✓	✓			$0.218$	$0$	$1.54613$	Dirichlet character \(\chi_{160} (99, \cdot) \)