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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
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Results (1-50 of 285 matches)

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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-571-571.10-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.10 $1$ 0 ✓ ✓ $0.146$ $0$ $1.24350$ Character $\chi_{571}(10, \cdot)$
1-571-571.101-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.101 $1$ 0 ✓ ✓ $-0.116$ $0$ $2.05734$ Character $\chi_{571}(101, \cdot)$
1-571-571.102-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.102 $1$ 0 ✓ ✓ $-0.448$ $0$ $0.718527$ Character $\chi_{571}(102, \cdot)$
1-571-571.103-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.103 $1$ 0 ✓ ✓ $0.209$ $0$ $1.08538$ Character $\chi_{571}(103, \cdot)$
1-571-571.104-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.104 $1$ 0 ✓ ✓ $0.207$ $0$ $1.38130$ Character $\chi_{571}(104, \cdot)$
1-571-571.107-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.107 $1$ 0 ✓ ✓ $0.0963$ $0$ $1.08475$ Character $\chi_{571}(107, \cdot)$
1-571-571.108-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.108 $1$ 0 ✓ ✓ $0.0803$ $0$ $1.39893$ Character $\chi_{571}(108, \cdot)$
1-571-571.110-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.110 $1$ 0 ✓ ✓ $-0.0917$ $0$ $0.559360$ Character $\chi_{571}(110, \cdot)$
1-571-571.111-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.111 $1$ 0 ✓ ✓ $-0.319$ $0$ $0.310649$ Character $\chi_{571}(111, \cdot)$
1-571-571.112-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.112 $1$ 0 ✓ ✓ $0.295$ $0$ $0.864125$ Character $\chi_{571}(112, \cdot)$
1-571-571.113-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.113 $1$ 0 ✓ ✓ $0.429$ $0$ $0.0797552$ Character $\chi_{571}(113, \cdot)$
1-571-571.114-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.114 $1$ 0 ✓ ✓ $0.170$ $0$ $1.06424$ Character $\chi_{571}(114, \cdot)$
1-571-571.118-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.118 $1$ 0 ✓ ✓ $0.370$ $0$ $1.49804$ Character $\chi_{571}(118, \cdot)$
1-571-571.12-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.12 $1$ 0 ✓ ✓ $-0.128$ $0$ $0.602992$ Character $\chi_{571}(12, \cdot)$
1-571-571.122-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.122 $1$ 0 ✓ ✓ $-0.121$ $0$ $1.15474$ Character $\chi_{571}(122, \cdot)$
1-571-571.128-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.128 $1$ 0 ✓ ✓ $0.0203$ $0$ $0.834115$ Character $\chi_{571}(128, \cdot)$
1-571-571.129-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.129 $1$ 0 ✓ ✓ $-0.227$ $0$ $0.776455$ Character $\chi_{571}(129, \cdot)$
1-571-571.130-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.130 $1$ 0 ✓ ✓ $0.166$ $0$ $0.200315$ Character $\chi_{571}(130, \cdot)$
1-571-571.132-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.132 $1$ 0 ✓ ✓ $0.358$ $0$ $0.855940$ Character $\chi_{571}(132, \cdot)$
1-571-571.135-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.135 $1$ 0 ✓ ✓ $0.0477$ $0$ $0.670467$ Character $\chi_{571}(135, \cdot)$
1-571-571.137-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.137 $1$ 0 ✓ ✓ $0.0430$ $0$ $0.868386$ Character $\chi_{571}(137, \cdot)$
1-571-571.140-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.140 $1$ 0 ✓ ✓ $-0.282$ $0$ $0.00214760$ Character $\chi_{571}(140, \cdot)$
1-571-571.147-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.147 $1$ 0 ✓ ✓ $0.116$ $0$ $0.236463$ Character $\chi_{571}(147, \cdot)$
1-571-571.15-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.15 $1$ 0 ✓ ✓ $-0.324$ $0$ $0.155873$ Character $\chi_{571}(15, \cdot)$
1-571-571.151-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.151 $1$ 0 ✓ ✓ $0.168$ $0$ $1.29351$ Character $\chi_{571}(151, \cdot)$
1-571-571.153-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.153 $1$ 0 ✓ ✓ $0.403$ $0$ $0.113557$ Character $\chi_{571}(153, \cdot)$
1-571-571.156-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.156 $1$ 0 ✓ ✓ $-0.0128$ $0$ $0.640742$ Character $\chi_{571}(156, \cdot)$
1-571-571.160-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.160 $1$ 0 ✓ ✓ $0.0139$ $0$ $1.01249$ Character $\chi_{571}(160, \cdot)$
1-571-571.161-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.161 $1$ 0 ✓ ✓ $0.455$ $0$ $2.18538$ Character $\chi_{571}(161, \cdot)$
1-571-571.162-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.162 $1$ 0 ✓ ✓ $-0.285$ $0$ $0.716742$ Character $\chi_{571}(162, \cdot)$
1-571-571.164-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.164 $1$ 0 ✓ ✓ $0.0607$ $0$ $0.333060$ Character $\chi_{571}(164, \cdot)$
1-571-571.165-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.165 $1$ 0 ✓ ✓ $-0.347$ $0$ $0.315938$ Character $\chi_{571}(165, \cdot)$
1-571-571.166-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.166 $1$ 0 ✓ ✓ $0.388$ $0$ $1.52854$ Character $\chi_{571}(166, \cdot)$
1-571-571.168-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.168 $1$ 0 ✓ ✓ $0.0472$ $0$ $0.357839$ Character $\chi_{571}(168, \cdot)$
1-571-571.17-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.17 $1$ 0 ✓ ✓ $-0.0472$ $0$ $1.27481$ Character $\chi_{571}(17, \cdot)$
1-571-571.171-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.171 $1$ 0 ✓ ✓ $0.352$ $0$ $0.578482$ Character $\chi_{571}(171, \cdot)$
1-571-571.175-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.175 $1$ 0 ✓ ✓ $0.380$ $0$ $0.693978$ Character $\chi_{571}(175, \cdot)$
1-571-571.177-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.177 $1$ 0 ✓ ✓ $-0.319$ $0$ $1.53883$ Character $\chi_{571}(177, \cdot)$
1-571-571.18-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.18 $1$ 0 ✓ ✓ $-0.0944$ $0$ $1.23374$ Character $\chi_{571}(18, \cdot)$
1-571-571.181-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.181 $1$ 0 ✓ ✓ $0.114$ $0$ $0.877744$ Character $\chi_{571}(181, \cdot)$
1-571-571.183-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.183 $1$ 0 ✓ ✓ $0.462$ $0$ $0.396541$ Character $\chi_{571}(183, \cdot)$
1-571-571.184-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.184 $1$ 0 ✓ ✓ $0.362$ $0$ $0.730152$ Character $\chi_{571}(184, \cdot)$
1-571-571.187-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.187 $1$ 0 ✓ ✓ $-0.352$ $0$ $2.14378$ Character $\chi_{571}(187, \cdot)$
1-571-571.188-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.188 $1$ 0 ✓ ✓ $0.0946$ $0$ $0.962462$ Character $\chi_{571}(188, \cdot)$
1-571-571.19-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.19 $1$ 0 ✓ ✓ $0.0230$ $0$ $1.31748$ Character $\chi_{571}(19, \cdot)$
1-571-571.192-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.192 $1$ 0 ✓ ✓ $0.113$ $0$ $0.903580$ Character $\chi_{571}(192, \cdot)$
1-571-571.194-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.194 $1$ 0 ✓ ✓ $0.0128$ $0$ $0.338671$ Character $\chi_{571}(194, \cdot)$
1-571-571.195-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.195 $1$ 0 ✓ ✓ $0.441$ $0$ $1.56781$ Character $\chi_{571}(195, \cdot)$
1-571-571.197-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.197 $1$ 0 ✓ ✓ $-0.491$ $0$ $0.228834$ Character $\chi_{571}(197, \cdot)$
1-571-571.198-r1-0-0 $61.3$ $61.3$ $1$ $571$ 571.198 $1$ 0 ✓ ✓ $0.198$ $0$ $0.228339$ Character $\chi_{571}(198, \cdot)$
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