LMFDB - L-function search results

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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 (1-50 of 216 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-4176-4176.1003-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1003	$0$	✓	✓	$-0.315$	$0$	$0.242322$	Character $\chi_{4176}(1003, \cdot)$
1-4176-4176.101-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.101	$0$	✓	✓	$-0.298$	$0$	$0.220225$	Character $\chi_{4176}(101, \cdot)$
1-4176-4176.1013-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1013	$0$	✓	✓	$-0.326$	$0$	$1.65790$	Character $\chi_{4176}(1013, \cdot)$
1-4176-4176.1019-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1019	$0$	✓	✓	$0.0671$	$0$	$0.685012$	Character $\chi_{4176}(1019, \cdot)$
1-4176-4176.1021-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1021	$0$	✓	✓	$-0.217$	$0$	$0.179180$	Character $\chi_{4176}(1021, \cdot)$
1-4176-4176.1067-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1067	$0$	✓	✓	$-0.441$	$0$	$1.55953$	Character $\chi_{4176}(1067, \cdot)$
1-4176-4176.1069-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1069	$0$	✓	✓	$-0.178$	$0$	$0.678050$	Character $\chi_{4176}(1069, \cdot)$
1-4176-4176.1075-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1075	$0$	✓	✓	$0.468$	$0$	$1.16994$	Character $\chi_{4176}(1075, \cdot)$
1-4176-4176.1085-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1085	$0$	✓	✓	$0.370$	$0$	$0.909191$	Character $\chi_{4176}(1085, \cdot)$
1-4176-4176.1093-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1093	$0$	✓	✓	$-0.121$	$0$	$0.745698$	Character $\chi_{4176}(1093, \cdot)$
1-4176-4176.1123-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1123	$0$	✓	✓	$-0.0998$	$0$	$0.489693$	Character $\chi_{4176}(1123, \cdot)$
1-4176-4176.1157-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1157	$0$	✓	✓	$0.200$	$0$	$0.960958$	Character $\chi_{4176}(1157, \cdot)$
1-4176-4176.1165-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1165	$0$	✓	✓	$0.398$	$0$	$1.14824$	Character $\chi_{4176}(1165, \cdot)$
1-4176-4176.1181-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1181	$0$	✓	✓	$-0.0998$	$0$	$0.542209$	Character $\chi_{4176}(1181, \cdot)$
1-4176-4176.1211-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1211	$0$	✓	✓	$-0.192$	$0$	$0.634061$	Character $\chi_{4176}(1211, \cdot)$
1-4176-4176.1213-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1213	$0$	✓	✓	$0.441$	$0$	$0.0738249$	Character $\chi_{4176}(1213, \cdot)$
1-4176-4176.1229-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1229	$0$	✓	✓	$0.478$	$0$	$0.0395256$	Character $\chi_{4176}(1229, \cdot)$
1-4176-4176.1283-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1283	$0$	✓	✓	$0.303$	$0$	$0.661202$	Character $\chi_{4176}(1283, \cdot)$
1-4176-4176.1285-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1285	$0$	✓	✓	$0.375$	$0$	$0.825750$	Character $\chi_{4176}(1285, \cdot)$
1-4176-4176.1291-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1291	$0$	✓	✓	$0.0874$	$0$	$1.05166$	Character $\chi_{4176}(1291, \cdot)$
1-4176-4176.13-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.13	$0$	✓	✓	$-0.375$	$0$	$0.108692$	Character $\chi_{4176}(13, \cdot)$
1-4176-4176.1309-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1309	$0$	✓	✓	$-0.247$	$0$	$0.548724$	Character $\chi_{4176}(1309, \cdot)$
1-4176-4176.1357-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1357	$0$	✓	✓	$-0.372$	$0$	$0.374745$	Character $\chi_{4176}(1357, \cdot)$
1-4176-4176.1373-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1373	$0$	✓	✓	$-0.282$	$0$	$0.504523$	Character $\chi_{4176}(1373, \cdot)$
1-4176-4176.1379-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1379	$0$	✓	✓	$0.121$	$0$	$0.894836$	Character $\chi_{4176}(1379, \cdot)$
1-4176-4176.1411-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1411	$0$	✓	✓	$-0.200$	$0$	$0.341939$	Character $\chi_{4176}(1411, \cdot)$
1-4176-4176.1427-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1427	$0$	✓	✓	$0.282$	$0$	$0.988251$	Character $\chi_{4176}(1427, \cdot)$
1-4176-4176.1435-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1435	$0$	✓	✓	$-0.242$	$0$	$0.485239$	Character $\chi_{4176}(1435, \cdot)$
1-4176-4176.1469-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1469	$0$	✓	✓	$-0.200$	$0$	$0.505811$	Character $\chi_{4176}(1469, \cdot)$
1-4176-4176.1499-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1499	$0$	✓	✓	$-0.121$	$0$	$0.482940$	Character $\chi_{4176}(1499, \cdot)$
1-4176-4176.1501-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1501	$0$	✓	✓	$-0.122$	$0$	$0.172828$	Character $\chi_{4176}(1501, \cdot)$
1-4176-4176.1555-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1555	$0$	✓	✓	$-0.330$	$0$	$0.278442$	Character $\chi_{4176}(1555, \cdot)$
1-4176-4176.1571-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1571	$0$	✓	✓	$-0.101$	$0$	$0.716043$	Character $\chi_{4176}(1571, \cdot)$
1-4176-4176.1573-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1573	$0$	✓	✓	$-0.376$	$0$	$0.182782$	Character $\chi_{4176}(1573, \cdot)$
1-4176-4176.1613-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1613	$0$	✓	✓	$-0.330$	$0$	$0.333385$	Character $\chi_{4176}(1613, \cdot)$
1-4176-4176.1627-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1627	$0$	✓	✓	$-0.217$	$0$	$0.636529$	Character $\chi_{4176}(1627, \cdot)$
1-4176-4176.1651-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1651	$0$	✓	✓	$-0.201$	$0$	$0.369524$	Character $\chi_{4176}(1651, \cdot)$
1-4176-4176.1661-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1661	$0$	✓	✓	$0.202$	$0$	$0.937496$	Character $\chi_{4176}(1661, \cdot)$
1-4176-4176.1669-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1669	$0$	✓	✓	$0.0519$	$0$	$0.949928$	Character $\chi_{4176}(1669, \cdot)$
1-4176-4176.1685-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1685	$0$	✓	✓	$0.282$	$0$	$1.22143$	Character $\chi_{4176}(1685, \cdot)$
1-4176-4176.1699-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1699	$0$	✓	✓	$0.245$	$0$	$0.772710$	Character $\chi_{4176}(1699, \cdot)$
1-4176-4176.1715-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1715	$0$	✓	✓	$0.247$	$0$	$0.979391$	Character $\chi_{4176}(1715, \cdot)$
1-4176-4176.1717-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1717	$0$	✓	✓	$-0.398$	$0$	$0.0774532$	Character $\chi_{4176}(1717, \cdot)$
1-4176-4176.1723-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1723	$0$	✓	✓	$-0.245$	$0$	$0.0385477$	Character $\chi_{4176}(1723, \cdot)$
1-4176-4176.1739-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1739	$0$	✓	✓	$-0.0902$	$0$	$0.638407$	Character $\chi_{4176}(1739, \cdot)$
1-4176-4176.1757-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1757	$0$	✓	✓	$0.245$	$0$	$1.29617$	Character $\chi_{4176}(1757, \cdot)$
1-4176-4176.1771-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1771	$0$	✓	✓	$-0.212$	$0$	$0.268207$	Character $\chi_{4176}(1771, \cdot)$
1-4176-4176.1789-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1789	$0$	✓	✓	$-0.0519$	$0$	$0.928762$	Character $\chi_{4176}(1789, \cdot)$
1-4176-4176.1795-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1795	$0$	✓	✓	$0.325$	$0$	$0.876216$	Character $\chi_{4176}(1795, \cdot)$
1-4176-4176.1811-r0-0-0	$19.3$	$19.3$	$1$	$2^{4} \cdot 3^{2} \cdot 29$	4176.1811	$0$	✓	✓	$0.0691$	$0$	$0.645056$	Character $\chi_{4176}(1811, \cdot)$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.