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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 267 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
1-763-763.104-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.104 $1$ 0 ✓ ✓ $-0.0109$ $0$ $0.954959$ Character $\chi_{763}(104, \cdot)$
1-763-763.107-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.107 $1$ 0 ✓ ✓ $-0.432$ $0$ $0.450125$ Character $\chi_{763}(107, \cdot)$
1-763-763.108-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.108 $1$ 0 ✓ ✓ $-0.146$ $0$ $0.857728$ Character $\chi_{763}(108, \cdot)$
1-763-763.11-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.11 $1$ 0 ✓ ✓ $-0.0422$ $0$ $0.418185$ Character $\chi_{763}(11, \cdot)$
1-763-763.118-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.118 $1$ 0 ✓ ✓ $0.454$ $0$ $0.656897$ Character $\chi_{763}(118, \cdot)$
1-763-763.12-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.12 $1$ 0 ✓ ✓ $0.339$ $0$ $1.06920$ Character $\chi_{763}(12, \cdot)$
1-763-763.123-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.123 $1$ 0 ✓ ✓ $0.235$ $0$ $0.722171$ Character $\chi_{763}(123, \cdot)$
1-763-763.124-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.124 $1$ 0 ✓ ✓ $-0.307$ $0$ $1.12228$ Character $\chi_{763}(124, \cdot)$
1-763-763.125-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.125 $1$ 0 ✓ ✓ $-0.0828$ $0$ $0.302214$ Character $\chi_{763}(125, \cdot)$
1-763-763.128-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.128 $1$ 0 ✓ ✓ $-0.298$ $0$ $0.0170693$ Character $\chi_{763}(128, \cdot)$
1-763-763.129-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.129 $1$ 0 ✓ ✓ $0.256$ $0$ $0.221792$ Character $\chi_{763}(129, \cdot)$
1-763-763.131-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.131 $1$ 0 ✓ ✓ $-0.318$ $0$ $0.0895987$ Character $\chi_{763}(131, \cdot)$
1-763-763.136-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.136 $1$ 0 ✓ ✓ $-0.289$ $0$ $0.0777865$ Character $\chi_{763}(136, \cdot)$
1-763-763.138-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.138 $1$ 0 ✓ ✓ $-0.325$ $0$ $0.0523003$ Character $\chi_{763}(138, \cdot)$
1-763-763.142-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.142 $1$ 0 ✓ ✓ $0.408$ $0$ $0.134112$ Character $\chi_{763}(142, \cdot)$
1-763-763.143-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.143 $1$ 0 ✓ ✓ $-0.0918$ $0$ $0.226794$ Character $\chi_{763}(143, \cdot)$
1-763-763.145-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.145 $1$ 0 ✓ ✓ $-0.0404$ $0$ $0.731713$ Character $\chi_{763}(145, \cdot)$
1-763-763.149-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.149 $1$ 0 ✓ ✓ $0.496$ $0$ $1.55335$ Character $\chi_{763}(149, \cdot)$
1-763-763.151-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.151 $1$ 0 ✓ ✓ $0.149$ $0$ $1.04262$ Character $\chi_{763}(151, \cdot)$
1-763-763.152-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.152 $1$ 0 ✓ ✓ $0.152$ $0$ $0.484224$ Character $\chi_{763}(152, \cdot)$
1-763-763.156-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.156 $1$ 0 ✓ ✓ $-0.330$ $0$ $0.222934$ Character $\chi_{763}(156, \cdot)$
1-763-763.157-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.157 $1$ 0 ✓ ✓ $0.177$ $0$ $1.31524$ Character $\chi_{763}(157, \cdot)$
1-763-763.163-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.163 $1$ 0 ✓ ✓ $-0.0468$ $0$ $0.778730$ Character $\chi_{763}(163, \cdot)$
1-763-763.165-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.165 $1$ 0 ✓ ✓ $-0.431$ $0$ $0.337882$ Character $\chi_{763}(165, \cdot)$
1-763-763.173-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.173 $1$ 0 ✓ ✓ $0.302$ $0$ $0.803739$ Character $\chi_{763}(173, \cdot)$
1-763-763.177-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.177 $1$ 0 ✓ ✓ $0.283$ $0$ $1.61136$ Character $\chi_{763}(177, \cdot)$
1-763-763.179-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.179 $1$ 0 ✓ ✓ $0.113$ $0$ $1.18688$ Character $\chi_{763}(179, \cdot)$
1-763-763.18-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.18 $1$ 0 ✓ ✓ $0.116$ $0$ $0.352812$ Character $\chi_{763}(18, \cdot)$
1-763-763.180-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.180 $1$ 0 ✓ ✓ $0.140$ $0$ $1.09163$ Character $\chi_{763}(180, \cdot)$
1-763-763.186-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.186 $1$ 0 ✓ ✓ $-0.192$ $0$ $0.445702$ Character $\chi_{763}(186, \cdot)$
1-763-763.187-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.187 $1$ 0 ✓ ✓ $0.0172$ $0$ $0.606513$ Character $\chi_{763}(187, \cdot)$
1-763-763.192-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.192 $1$ 0 ✓ ✓ $-0.413$ $0$ $1.44861$ Character $\chi_{763}(192, \cdot)$
1-763-763.2-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.2 $1$ 0 ✓ ✓ $-0.272$ $0$ $0.758801$ Character $\chi_{763}(2, \cdot)$
1-763-763.20-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.20 $1$ 0 ✓ ✓ $0.402$ $0$ $1.26397$ Character $\chi_{763}(20, \cdot)$
1-763-763.200-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.200 $1$ 0 ✓ ✓ $0.105$ $0$ $0.879876$ Character $\chi_{763}(200, \cdot)$
1-763-763.202-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.202 $1$ 0 ✓ ✓ $-0.0546$ $0$ $0.772597$ Character $\chi_{763}(202, \cdot)$
1-763-763.205-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.205 $1$ 0 ✓ ✓ $0.0444$ $0$ $0.732969$ Character $\chi_{763}(205, \cdot)$
1-763-763.206-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.206 $1$ 0 ✓ ✓ $0.398$ $0$ $1.02175$ Character $\chi_{763}(206, \cdot)$
1-763-763.207-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.207 $1$ 0 ✓ ✓ $-0.396$ $0$ $0.542445$ Character $\chi_{763}(207, \cdot)$
1-763-763.209-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.209 $1$ 0 ✓ ✓ $-0.192$ $0$ $0.179396$ Character $\chi_{763}(209, \cdot)$
1-763-763.212-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.212 $1$ 0 ✓ ✓ $-0.116$ $0$ $0.651424$ Character $\chi_{763}(212, \cdot)$
1-763-763.213-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.213 $1$ 0 ✓ ✓ $-0.157$ $0$ $0.870261$ Character $\chi_{763}(213, \cdot)$
1-763-763.215-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.215 $1$ 0 ✓ ✓ $0.333$ $0$ $0.261864$ Character $\chi_{763}(215, \cdot)$
1-763-763.222-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.222 $1$ 0 ✓ ✓ $-0.412$ $0$ $0.477635$ Character $\chi_{763}(222, \cdot)$
1-763-763.223-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.223 $1$ 0 ✓ ✓ $0.464$ $0$ $1.75061$ Character $\chi_{763}(223, \cdot)$
1-763-763.226-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.226 $1$ 0 ✓ ✓ $0.440$ $0$ $0.432206$ Character $\chi_{763}(226, \cdot)$
1-763-763.227-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.227 $1$ 0 ✓ ✓ $0.308$ $0$ $0.741909$ Character $\chi_{763}(227, \cdot)$
1-763-763.228-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.228 $1$ 0 ✓ ✓ $-0.477$ $0$ $0.397027$ Character $\chi_{763}(228, \cdot)$
1-763-763.23-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.23 $1$ 0 ✓ ✓ $-0.181$ $0$ $0.175099$ Character $\chi_{763}(23, \cdot)$
1-763-763.230-r1-0-0 $81.9$ $81.9$ $1$ $7 \cdot 109$ 763.230 $1$ 0 ✓ ✓ $0.192$ $0$ $0.481718$ Character $\chi_{763}(230, \cdot)$
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