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 (33 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-195-195.107-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.107	$0$	$$	$0$	✓	✓			$0.130$	$0$	$1.80899$	Dirichlet character \(\chi_{195} (107, \cdot) \)
1-195-195.113-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.113	$0$	$$	$0$	✓	✓			$-0.130$	$0$	$1.59541$	Dirichlet character \(\chi_{195} (113, \cdot) \)
1-195-195.119-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.119	$0$	$$	$0$	✓	✓			$0.245$	$0$	$2.16491$	Dirichlet character \(\chi_{195} (119, \cdot) \)
1-195-195.149-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.149	$0$	$$	$0$	✓	✓			$0.160$	$0$	$1.39758$	Dirichlet character \(\chi_{195} (149, \cdot) \)
1-195-195.152-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.152	$0$	$$	$0$	✓	✓			$0.0454$	$0$	$1.04180$	Dirichlet character \(\chi_{195} (152, \cdot) \)
1-195-195.164-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.164	$0$	$$	$0$	✓	✓			$0.453$	$0$	$2.04126$	Dirichlet character \(\chi_{195} (164, \cdot) \)
1-195-195.17-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.17	$0$	$$	$0$	✓	✓			$-0.159$	$0$	$1.46980$	Dirichlet character \(\chi_{195} (17, \cdot) \)
1-195-195.173-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.173	$0$	$$	$0$	✓	✓			$-0.336$	$0$	$0.253476$	Dirichlet character \(\chi_{195} (173, \cdot) \)
1-195-195.23-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.23	$0$	$$	$0$	✓	✓			$0.159$	$0$	$1.91875$	Dirichlet character \(\chi_{195} (23, \cdot) \)
1-195-195.38-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.38	$0$	$$	$0$	✓	✓			$-0.0881$	$0$	$1.41960$	Dirichlet character \(\chi_{195} (38, \cdot) \)
1-195-195.44-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.44	$0$	$$	$0$	✓	✓			$-0.453$	$0$	$0.630097$	Dirichlet character \(\chi_{195} (44, \cdot) \)
1-195-195.59-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.59	$0$	$$	$0$	✓	✓			$-0.245$	$0$	$1.14029$	Dirichlet character \(\chi_{195} (59, \cdot) \)
1-195-195.62-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.62	$0$	$$	$0$	✓	✓			$0.336$	$0$	$1.94275$	Dirichlet character \(\chi_{195} (62, \cdot) \)
1-195-195.68-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.68	$0$	$$	$0$	✓	✓			$-0.0454$	$0$	$1.11011$	Dirichlet character \(\chi_{195} (68, \cdot) \)
1-195-195.77-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.77	$0$	$$	$0$	✓	✓			$0.0881$	$0$	$1.05108$	Dirichlet character \(\chi_{195} (77, \cdot) \)
1-195-195.89-r0-0-0	$0.905$	$0.905$	$1$	$3 \cdot 5 \cdot 13$	195.89	$0$	$$	$0$	✓	✓			$-0.160$	$0$	$0.996284$	Dirichlet character \(\chi_{195} (89, \cdot) \)
1-195-195.122-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.122	$1$	$$	$0$	✓	✓			$0.134$	$0$	$0.922785$	Dirichlet character \(\chi_{195} (122, \cdot) \)
1-195-195.128-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.128	$1$	$$	$0$	✓	✓			$0.248$	$0$	$1.76396$	Dirichlet character \(\chi_{195} (128, \cdot) \)
1-195-195.134-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.134	$1$	$$	$0$	✓	✓			$-0.247$	$0$	$0.0159901$	Dirichlet character \(\chi_{195} (134, \cdot) \)
1-195-195.137-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.137	$1$	$$	$0$	✓	✓			$0.342$	$0$	$1.58829$	Dirichlet character \(\chi_{195} (137, \cdot) \)
1-195-195.158-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.158	$1$	$$	$0$	✓	✓			$-0.342$	$0$	$0.0984248$	Dirichlet character \(\chi_{195} (158, \cdot) \)
1-195-195.167-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.167	$1$	$$	$0$	✓	✓			$0.427$	$0$	$1.18507$	Dirichlet character \(\chi_{195} (167, \cdot) \)
1-195-195.179-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.179	$1$	$$	$0$	✓	✓			$0.247$	$0$	$1.56099$	Dirichlet character \(\chi_{195} (179, \cdot) \)
1-195-195.188-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.188	$1$	$$	$0$	✓	✓			$-0.427$	$0$	$0.214196$	Dirichlet character \(\chi_{195} (188, \cdot) \)
1-195-195.194-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.194	$1$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$0.980506$	Dirichlet character \(\chi_{195} (194, \cdot) \)
1-195-195.2-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.2	$1$	$$	$0$	✓	✓			$-0.166$	$0$	$1.08704$	Dirichlet character \(\chi_{195} (2, \cdot) \)
1-195-195.29-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.29	$1$	$$	$0$	✓	✓			$0.0426$	$0$	$0.703585$	Dirichlet character \(\chi_{195} (29, \cdot) \)
1-195-195.32-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.32	$1$	$$	$0$	✓	✓			$-0.248$	$0$	$0.126911$	Dirichlet character \(\chi_{195} (32, \cdot) \)
1-195-195.47-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.47	$1$	$$	$0$	✓	✓			$0.0413$	$0$	$1.49905$	Dirichlet character \(\chi_{195} (47, \cdot) \)
1-195-195.74-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.74	$1$	$$	$0$	✓	✓			$-0.0426$	$0$	$1.06971$	Dirichlet character \(\chi_{195} (74, \cdot) \)
1-195-195.8-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.8	$1$	$$	$0$	✓	✓			$-0.134$	$0$	$0.505338$	Dirichlet character \(\chi_{195} (8, \cdot) \)
1-195-195.83-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.83	$1$	$$	$0$	✓	✓			$-0.0413$	$0$	$1.26471$	Dirichlet character \(\chi_{195} (83, \cdot) \)
1-195-195.98-r1-0-0	$20.9$	$20.9$	$1$	$3 \cdot 5 \cdot 13$	195.98	$1$	$$	$0$	✓	✓			$0.166$	$0$	$1.06489$	Dirichlet character \(\chi_{195} (98, \cdot) \)