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

Sort order

Select

Results (27 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-29-29.13-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.13	$0$	$$	$0$	✓	✓			$0.0344$	$0$	$2.69742$	Dirichlet character \(\chi_{29} (13, \cdot) \)
1-29-29.16-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.16	$0$	$$	$0$	✓	✓			$0.0866$	$0$	$2.95339$	Dirichlet character \(\chi_{29} (16, \cdot) \)
1-29-29.20-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.20	$0$	$$	$0$	✓	✓			$-0.0866$	$0$	$2.61651$	Dirichlet character \(\chi_{29} (20, \cdot) \)
1-29-29.22-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.22	$0$	$$	$0$	✓	✓			$-0.157$	$0$	$2.26652$	Dirichlet character \(\chi_{29} (22, \cdot) \)
1-29-29.23-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.23	$0$	$$	$0$	✓	✓			$-0.406$	$0$	$1.00015$	Dirichlet character \(\chi_{29} (23, \cdot) \)
1-29-29.24-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.24	$0$	$$	$0$	✓	✓			$0.406$	$0$	$4.08081$	Dirichlet character \(\chi_{29} (24, \cdot) \)
1-29-29.25-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.25	$0$	$$	$0$	✓	✓			$-0.213$	$0$	$1.61214$	Dirichlet character \(\chi_{29} (25, \cdot) \)
1-29-29.28-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.28	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$1.79380$	Dirichlet character \(\chi_{29} (28, \cdot) \)
1-29-29.4-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.4	$0$	$$	$0$	✓	✓			$0.157$	$0$	$3.89565$	Dirichlet character \(\chi_{29} (4, \cdot) \)
1-29-29.5-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.5	$0$	$$	$0$	✓	✓			$-0.191$	$0$	$2.49079$	Dirichlet character \(\chi_{29} (5, \cdot) \)
1-29-29.6-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.6	$0$	$$	$0$	✓	✓			$0.191$	$0$	$3.60892$	Dirichlet character \(\chi_{29} (6, \cdot) \)
1-29-29.7-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.7	$0$	$$	$0$	✓	✓			$0.213$	$0$	$2.96022$	Dirichlet character \(\chi_{29} (7, \cdot) \)
1-29-29.9-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.9	$0$	$$	$0$	✓	✓			$-0.0344$	$0$	$1.79704$	Dirichlet character \(\chi_{29} (9, \cdot) \)
1-29-29.10-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.10	$1$	$$	$0$	✓	✓			$-0.123$	$0$	$2.10538$	Dirichlet character \(\chi_{29} (10, \cdot) \)
1-29-29.11-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.11	$1$	$$	$0$	✓	✓			$-0.362$	$0$	$0.857889$	Dirichlet character \(\chi_{29} (11, \cdot) \)
1-29-29.12-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.12	$1$	$$	$0$	✓	✓			$-0.469$	$0$	$4.05675$	Dirichlet character \(\chi_{29} (12, \cdot) \)
1-29-29.14-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.14	$1$	$$	$0$	✓	✓			$-0.458$	$0$	$3.11052$	Dirichlet character \(\chi_{29} (14, \cdot) \)
1-29-29.15-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.15	$1$	$$	$0$	✓	✓			$-0.127$	$0$	$2.13408$	Dirichlet character \(\chi_{29} (15, \cdot) \)
1-29-29.17-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.17	$1$	$$	$0$	✓	✓			$0.469$	$0$	$0.684776$	Dirichlet character \(\chi_{29} (17, \cdot) \)
1-29-29.18-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.18	$1$	$$	$0$	✓	✓			$-0.115$	$0$	$1.10800$	Dirichlet character \(\chi_{29} (18, \cdot) \)
1-29-29.19-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.19	$1$	$$	$0$	✓	✓			$0.0145$	$0$	$1.20630$	Dirichlet character \(\chi_{29} (19, \cdot) \)
1-29-29.2-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.2	$1$	$$	$0$	✓	✓			$0.127$	$0$	$2.95526$	Dirichlet character \(\chi_{29} (2, \cdot) \)
1-29-29.21-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.21	$1$	$$	$0$	✓	✓			$0.115$	$0$	$2.36624$	Dirichlet character \(\chi_{29} (21, \cdot) \)
1-29-29.26-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.26	$1$	$$	$0$	✓	✓			$-0.0145$	$0$	$1.62448$	Dirichlet character \(\chi_{29} (26, \cdot) \)
1-29-29.27-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.27	$1$	$$	$0$	✓	✓			$0.458$	$0$	$0.286293$	Dirichlet character \(\chi_{29} (27, \cdot) \)
1-29-29.3-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.3	$1$	$$	$0$	✓	✓			$0.123$	$0$	$2.37695$	Dirichlet character \(\chi_{29} (3, \cdot) \)
1-29-29.8-r1-0-0	$3.11$	$3.11$	$1$	$29$	29.8	$1$	$$	$0$	✓	✓			$0.362$	$0$	$3.31077$	Dirichlet character \(\chi_{29} (8, \cdot) \)