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 264 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-5616-5616.1003-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1003	$0$	✓	✓	$0.137$	$0$	$0.903433$	Character $\chi_{5616}(1003, \cdot)$
1-5616-5616.1051-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1051	$0$	✓	✓	$0.323$	$0$	$0.939224$	Character $\chi_{5616}(1051, \cdot)$
1-5616-5616.1069-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1069	$0$	✓	✓	$0.484$	$0$	$0.201721$	Character $\chi_{5616}(1069, \cdot)$
1-5616-5616.1085-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1085	$0$	✓	✓	$-0.156$	$0$	$0.520335$	Character $\chi_{5616}(1085, \cdot)$
1-5616-5616.1091-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1091	$0$	✓	✓	$-0.0578$	$0$	$0.942843$	Character $\chi_{5616}(1091, \cdot)$
1-5616-5616.1123-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1123	$0$	✓	✓	$0.488$	$0$	$0.149473$	Character $\chi_{5616}(1123, \cdot)$
1-5616-5616.1141-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1141	$0$	✓	✓	$-0.268$	$0$	$0.311478$	Character $\chi_{5616}(1141, \cdot)$
1-5616-5616.115-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.115	$0$	✓	✓	$-0.0517$	$0$	$0.429026$	Character $\chi_{5616}(115, \cdot)$
1-5616-5616.1181-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1181	$0$	✓	✓	$-0.0517$	$0$	$0.905640$	Character $\chi_{5616}(1181, \cdot)$
1-5616-5616.1213-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1213	$0$	✓	✓	$0.360$	$0$	$1.30833$	Character $\chi_{5616}(1213, \cdot)$
1-5616-5616.1229-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1229	$0$	✓	✓	$0.270$	$0$	$1.04709$	Character $\chi_{5616}(1229, \cdot)$
1-5616-5616.1253-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1253	$0$	✓	✓	$0.363$	$0$	$1.06389$	Character $\chi_{5616}(1253, \cdot)$
1-5616-5616.1267-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1267	$0$	✓	✓	$-0.230$	$0$	$1.62374$	Character $\chi_{5616}(1267, \cdot)$
1-5616-5616.1283-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1283	$0$	✓	✓	$0.473$	$0$	$1.03179$	Character $\chi_{5616}(1283, \cdot)$
1-5616-5616.1309-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1309	$0$	✓	✓	$-0.0264$	$0$	$1.00620$	Character $\chi_{5616}(1309, \cdot)$
1-5616-5616.133-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.133	$0$	✓	✓	$0.0264$	$0$	$1.11704$	Character $\chi_{5616}(133, \cdot)$
1-5616-5616.1355-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1355	$0$	✓	✓	$-0.399$	$0$	$0.184567$	Character $\chi_{5616}(1355, \cdot)$
1-5616-5616.1363-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1363	$0$	✓	✓	$-0.144$	$0$	$0.382089$	Character $\chi_{5616}(1363, \cdot)$
1-5616-5616.1373-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1373	$0$	✓	✓	$-0.0305$	$0$	$0.710771$	Character $\chi_{5616}(1373, \cdot)$
1-5616-5616.1381-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1381	$0$	✓	✓	$-0.0661$	$0$	$0.906768$	Character $\chi_{5616}(1381, \cdot)$
1-5616-5616.1397-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1397	$0$	✓	✓	$-0.355$	$0$	$0.157108$	Character $\chi_{5616}(1397, \cdot)$
1-5616-5616.1411-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1411	$0$	✓	✓	$-0.137$	$0$	$0.276982$	Character $\chi_{5616}(1411, \cdot)$
1-5616-5616.1427-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1427	$0$	✓	✓	$0.264$	$0$	$1.18480$	Character $\chi_{5616}(1427, \cdot)$
1-5616-5616.1429-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1429	$0$	✓	✓	$0.483$	$0$	$0.0600027$	Character $\chi_{5616}(1429, \cdot)$
1-5616-5616.1435-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1435	$0$	✓	✓	$0.437$	$0$	$1.13965$	Character $\chi_{5616}(1435, \cdot)$
1-5616-5616.1445-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1445	$0$	✓	✓	$0.137$	$0$	$0.721368$	Character $\chi_{5616}(1445, \cdot)$
1-5616-5616.1453-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1453	$0$	✓	✓	$0.430$	$0$	$1.33240$	Character $\chi_{5616}(1453, \cdot)$
1-5616-5616.149-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.149	$0$	✓	✓	$0.0517$	$0$	$0.758364$	Character $\chi_{5616}(149, \cdot)$
1-5616-5616.1499-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1499	$0$	✓	✓	$0.143$	$0$	$0.786600$	Character $\chi_{5616}(1499, \cdot)$
1-5616-5616.1525-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1525	$0$	✓	✓	$0.143$	$0$	$1.01924$	Character $\chi_{5616}(1525, \cdot)$
1-5616-5616.1541-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1541	$0$	✓	✓	$-0.262$	$0$	$0.303360$	Character $\chi_{5616}(1541, \cdot)$
1-5616-5616.155-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.155	$0$	✓	✓	$-0.0162$	$0$	$0.682271$	Character $\chi_{5616}(155, \cdot)$
1-5616-5616.1555-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1555	$0$	✓	✓	$-0.104$	$0$	$0.511158$	Character $\chi_{5616}(1555, \cdot)$
1-5616-5616.1579-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1579	$0$	✓	✓	$0.0517$	$0$	$0.561815$	Character $\chi_{5616}(1579, \cdot)$
1-5616-5616.1595-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1595	$0$	✓	✓	$0.441$	$0$	$1.27767$	Character $\chi_{5616}(1595, \cdot)$
1-5616-5616.1627-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1627	$0$	✓	✓	$0.229$	$0$	$0.846032$	Character $\chi_{5616}(1627, \cdot)$
1-5616-5616.1667-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1667	$0$	✓	✓	$0.151$	$0$	$0.914732$	Character $\chi_{5616}(1667, \cdot)$
1-5616-5616.1685-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1685	$0$	✓	✓	$-0.229$	$0$	$0.340068$	Character $\chi_{5616}(1685, \cdot)$
1-5616-5616.1715-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1715	$0$	✓	✓	$0.0162$	$0$	$0.855020$	Character $\chi_{5616}(1715, \cdot)$
1-5616-5616.1723-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1723	$0$	✓	✓	$-0.188$	$0$	$0.103258$	Character $\chi_{5616}(1723, \cdot)$
1-5616-5616.1739-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1739	$0$	✓	✓	$-0.434$	$0$	$0.0653824$	Character $\chi_{5616}(1739, \cdot)$
1-5616-5616.1741-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1741	$0$	✓	✓	$-0.483$	$0$	$1.25874$	Character $\chi_{5616}(1741, \cdot)$
1-5616-5616.1757-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1757	$0$	✓	✓	$-0.145$	$0$	$0.550505$	Character $\chi_{5616}(1757, \cdot)$
1-5616-5616.1805-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1805	$0$	✓	✓	$0.355$	$0$	$1.20337$	Character $\chi_{5616}(1805, \cdot)$
1-5616-5616.1811-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1811	$0$	✓	✓	$0.360$	$0$	$1.18056$	Character $\chi_{5616}(1811, \cdot)$
1-5616-5616.1867-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1867	$0$	✓	✓	$-0.155$	$0$	$0.562033$	Character $\chi_{5616}(1867, \cdot)$
1-5616-5616.187-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.187	$0$	✓	✓	$-0.469$	$0$	$0.104542$	Character $\chi_{5616}(187, \cdot)$
1-5616-5616.1877-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1877	$0$	✓	✓	$0.437$	$0$	$0.278853$	Character $\chi_{5616}(1877, \cdot)$
1-5616-5616.1933-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1933	$0$	✓	✓	$0.399$	$0$	$1.09240$	Character $\chi_{5616}(1933, \cdot)$
1-5616-5616.1939-r0-0-0	$26.0$	$26.0$	$1$	$2^{4} \cdot 3^{3} \cdot 13$	5616.1939	$0$	✓	✓	$0.428$	$0$	$0.962798$	Character $\chi_{5616}(1939, \cdot)$

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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.