Rational L-function search results

Note: Search results may be incomplete due to uncomputed quantities: is_instance_DIR (5370 objects)

Results (1-50 of )

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
1-1-1.1-r0-0-0	$0.00464$	$0.00464$	$1$	$1$	1.1	$$	$$	$0$	✓	$1$	$0$	$14.1347$	Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Dirichlet character \(\chi_{1} (1, \cdot) \) Number field \(\Q\)
1-5-5.4-r0-0-0	$0.0232$	$0.0232$	$1$	$5$	5.4	$0$	$$	$0$	✓	$1$	$0$	$6.64845$	Dirichlet character \(\chi_{5} (4, \cdot) \)
1-2e3-8.5-r0-0-0	$0.0371$	$0.0371$	$1$	$2^{3}$	8.5	$0$	$$	$0$	✓	$1$	$0$	$4.89997$	Dirichlet character \(\chi_{8} (5, \cdot) \)
1-12-12.11-r0-0-0	$0.0557$	$0.0557$	$1$	$2^{2} \cdot 3$	12.11	$0$	$$	$0$	✓	$1$	$0$	$3.80462$	Dirichlet character \(\chi_{12} (11, \cdot) \)
1-13-13.12-r0-0-0	$0.0603$	$0.0603$	$1$	$13$	13.12	$0$	$$	$0$	✓	$1$	$0$	$3.11934$	Dirichlet character \(\chi_{13} (12, \cdot) \)
1-17-17.16-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.16	$0$	$$	$0$	✓	$1$	$0$	$3.72814$	Dirichlet character \(\chi_{17} (16, \cdot) \)
1-21-21.20-r0-0-0	$0.0975$	$0.0975$	$1$	$3 \cdot 7$	21.20	$0$	$$	$0$	✓	$1$	$0$	$2.31518$	Dirichlet character \(\chi_{21} (20, \cdot) \)
1-24-24.11-r0-0-0	$0.111$	$0.111$	$1$	$2^{3} \cdot 3$	24.11	$0$	$$	$0$	✓	$1$	$0$	$2.68865$	Dirichlet character \(\chi_{24} (11, \cdot) \)
1-28-28.27-r0-0-0	$0.130$	$0.130$	$1$	$2^{2} \cdot 7$	28.27	$0$	$$	$0$	✓	$1$	$0$	$2.77728$	Dirichlet character \(\chi_{28} (27, \cdot) \)
1-29-29.28-r0-0-0	$0.134$	$0.134$	$1$	$29$	29.28	$0$	$$	$0$	✓	$1$	$0$	$1.79380$	Dirichlet character \(\chi_{29} (28, \cdot) \)
1-33-33.32-r0-0-0	$0.153$	$0.153$	$1$	$3 \cdot 11$	33.32	$0$	$$	$0$	✓	$1$	$0$	$2.99695$	Dirichlet character \(\chi_{33} (32, \cdot) \)
1-37-37.36-r0-0-0	$0.171$	$0.171$	$1$	$37$	37.36	$0$	$$	$0$	✓	$1$	$0$	$2.05722$	Dirichlet character \(\chi_{37} (36, \cdot) \)
1-40-40.29-r0-0-0	$0.185$	$0.185$	$1$	$2^{3} \cdot 5$	40.29	$0$	$$	$0$	✓	$1$	$0$	$2.48821$	Dirichlet character \(\chi_{40} (29, \cdot) \)
1-41-41.40-r0-0-0	$0.190$	$0.190$	$1$	$41$	41.40	$0$	$$	$0$	✓	$1$	$0$	$2.47534$	Dirichlet character \(\chi_{41} (40, \cdot) \)
1-44-44.43-r0-0-0	$0.204$	$0.204$	$1$	$2^{2} \cdot 11$	44.43	$0$	$$	$0$	✓	$1$	$0$	$1.86993$	Dirichlet character \(\chi_{44} (43, \cdot) \)
1-53-53.52-r0-0-0	$0.246$	$0.246$	$1$	$53$	53.52	$0$	$$	$0$	✓	$1$	$0$	$1.28711$	Dirichlet character \(\chi_{53} (52, \cdot) \)
1-56-56.27-r0-0-0	$0.260$	$0.260$	$1$	$2^{3} \cdot 7$	56.27	$0$	$$	$0$	✓	$1$	$0$	$1.70166$	Dirichlet character \(\chi_{56} (27, \cdot) \)
1-57-57.56-r0-0-0	$0.264$	$0.264$	$1$	$3 \cdot 19$	57.56	$0$	$$	$0$	✓	$1$	$0$	$2.40313$	Dirichlet character \(\chi_{57} (56, \cdot) \)
1-60-60.59-r0-0-0	$0.278$	$0.278$	$1$	$2^{2} \cdot 3 \cdot 5$	60.59	$0$	$$	$0$	✓	$1$	$0$	$1.88060$	Dirichlet character \(\chi_{60} (59, \cdot) \)
1-61-61.60-r0-0-0	$0.283$	$0.283$	$1$	$61$	61.60	$0$	$$	$0$	✓	$1$	$0$	$1.94459$	Dirichlet character \(\chi_{61} (60, \cdot) \)
1-65-65.64-r0-0-0	$0.301$	$0.301$	$1$	$5 \cdot 13$	65.64	$0$	$$	$0$	✓	$1$	$0$	$2.04804$	Dirichlet character \(\chi_{65} (64, \cdot) \)
1-69-69.68-r0-0-0	$0.320$	$0.320$	$1$	$3 \cdot 23$	69.68	$0$	$$	$0$	✓	$1$	$0$	$1.57186$	Dirichlet character \(\chi_{69} (68, \cdot) \)
1-3-3.2-r1-0-0	$0.322$	$0.322$	$1$	$3$	3.2	$1$	$$	$0$	✓	$1$	$0$	$8.03973$	Dirichlet character \(\chi_{3} (2, \cdot) \)
1-73-73.72-r0-0-0	$0.339$	$0.339$	$1$	$73$	73.72	$0$	$$	$0$	✓	$1$	$0$	$2.59808$	Dirichlet character \(\chi_{73} (72, \cdot) \)
1-76-76.75-r0-0-0	$0.352$	$0.352$	$1$	$2^{2} \cdot 19$	76.75	$0$	$$	$0$	✓	$1$	$0$	$2.14993$	Dirichlet character \(\chi_{76} (75, \cdot) \)
1-77-77.76-r0-0-0	$0.357$	$0.357$	$1$	$7 \cdot 11$	77.76	$0$	$$	$0$	✓	$1$	$0$	$1.07518$	Dirichlet character \(\chi_{77} (76, \cdot) \)
1-85-85.84-r0-0-0	$0.394$	$0.394$	$1$	$5 \cdot 17$	85.84	$0$	$$	$0$	✓	$1$	$0$	$1.75250$	Dirichlet character \(\chi_{85} (84, \cdot) \)
1-88-88.43-r0-0-0	$0.408$	$0.408$	$1$	$2^{3} \cdot 11$	88.43	$0$	$$	$0$	✓	$1$	$0$	$1.86469$	Dirichlet character \(\chi_{88} (43, \cdot) \)
1-89-89.88-r0-0-0	$0.413$	$0.413$	$1$	$89$	89.88	$0$	$$	$0$	✓	$1$	$0$	$1.90110$	Dirichlet character \(\chi_{89} (88, \cdot) \)
1-92-92.91-r0-0-0	$0.427$	$0.427$	$1$	$2^{2} \cdot 23$	92.91	$0$	$$	$0$	✓	$1$	$0$	$1.28645$	Dirichlet character \(\chi_{92} (91, \cdot) \)
1-2e2-4.3-r1-0-0	$0.429$	$0.429$	$1$	$2^{2}$	4.3	$1$	$$	$0$	✓	$1$	$0$	$6.02094$	Dirichlet character \(\chi_{4} (3, \cdot) \)
1-93-93.92-r0-0-0	$0.431$	$0.431$	$1$	$3 \cdot 31$	93.92	$0$	$$	$0$	✓	$1$	$0$	$1.30110$	Dirichlet character \(\chi_{93} (92, \cdot) \)
1-97-97.96-r0-0-0	$0.450$	$0.450$	$1$	$97$	97.96	$0$	$$	$0$	✓	$1$	$0$	$2.31457$	Dirichlet character \(\chi_{97} (96, \cdot) \)
1-101-101.100-r0-0-0	$0.469$	$0.469$	$1$	$101$	101.100	$0$	$$	$0$	✓	$1$	$0$	$1.16426$	Dirichlet character \(\chi_{101} (100, \cdot) \)
1-104-104.77-r0-0-0	$0.482$	$0.482$	$1$	$2^{3} \cdot 13$	104.77	$0$	$$	$0$	✓	$1$	$0$	$1.37058$	Dirichlet character \(\chi_{104} (77, \cdot) \)
1-105-105.104-r0-0-0	$0.487$	$0.487$	$1$	$3 \cdot 5 \cdot 7$	105.104	$0$	$$	$0$	✓	$1$	$0$	$2.04884$	Dirichlet character \(\chi_{105} (104, \cdot) \)
1-109-109.108-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.108	$0$	$$	$0$	✓	$1$	$0$	$1.87221$	Dirichlet character \(\chi_{109} (108, \cdot) \)
1-113-113.112-r0-0-0	$0.524$	$0.524$	$1$	$113$	113.112	$0$	$$	$0$	✓	$1$	$0$	$1.62199$	Dirichlet character \(\chi_{113} (112, \cdot) \)
1-120-120.59-r0-0-0	$0.557$	$0.557$	$1$	$2^{3} \cdot 3 \cdot 5$	120.59	$0$	$$	$0$	✓	$1$	$0$	$1.53751$	Dirichlet character \(\chi_{120} (59, \cdot) \)
1-124-124.123-r0-0-0	$0.575$	$0.575$	$1$	$2^{2} \cdot 31$	124.123	$0$	$$	$0$	✓	$1$	$0$	$1.88831$	Dirichlet character \(\chi_{124} (123, \cdot) \)
1-129-129.128-r0-0-0	$0.599$	$0.599$	$1$	$3 \cdot 43$	129.128	$0$	$$	$0$	✓	$1$	$0$	$2.03656$	Dirichlet character \(\chi_{129} (128, \cdot) \)
1-133-133.132-r0-0-0	$0.617$	$0.617$	$1$	$7 \cdot 19$	133.132	$0$	$$	$0$	✓	$1$	$0$	$1.39047$	Dirichlet character \(\chi_{133} (132, \cdot) \)
1-136-136.101-r0-0-0	$0.631$	$0.631$	$1$	$2^{3} \cdot 17$	136.101	$0$	$$	$0$	✓	$1$	$0$	$1.84328$	Dirichlet character \(\chi_{136} (101, \cdot) \)
1-137-137.136-r0-0-0	$0.636$	$0.636$	$1$	$137$	137.136	$0$	$$	$0$	✓	$1$	$0$	$1.52794$	Dirichlet character \(\chi_{137} (136, \cdot) \)
1-140-140.139-r0-0-0	$0.650$	$0.650$	$1$	$2^{2} \cdot 5 \cdot 7$	140.139	$0$	$$	$0$	✓	$1$	$0$	$1.17436$	Dirichlet character \(\chi_{140} (139, \cdot) \)
1-141-141.140-r0-0-0	$0.654$	$0.654$	$1$	$3 \cdot 47$	141.140	$0$	$$	$0$	✓	$1$	$0$	$1.47969$	Dirichlet character \(\chi_{141} (140, \cdot) \)
1-145-145.144-r0-0-0	$0.673$	$0.673$	$1$	$5 \cdot 29$	145.144	$0$	$$	$0$	✓	$1$	$0$	$2.20800$	Dirichlet character \(\chi_{145} (144, \cdot) \)
1-149-149.148-r0-0-0	$0.691$	$0.691$	$1$	$149$	149.148	$0$	$$	$0$	✓	$1$	$0$	$1.19943$	Dirichlet character \(\chi_{149} (148, \cdot) \)
1-152-152.75-r0-0-0	$0.705$	$0.705$	$1$	$2^{3} \cdot 19$	152.75	$0$	$$	$0$	✓	$1$	$0$	$0.982619$	Dirichlet character \(\chi_{152} (75, \cdot) \)
1-156-156.155-r0-0-0	$0.724$	$0.724$	$1$	$2^{2} \cdot 3 \cdot 13$	156.155	$0$	$$	$0$	✓	$1$	$0$	$1.58858$	Dirichlet character \(\chi_{156} (155, \cdot) \)