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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 341 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
1-683-683.106-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.106 $1$ 0 ✓ ✓ $-0.328$ $0$ $1.49093$ Character $\chi_{683}(106, \cdot)$
1-683-683.107-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.107 $1$ 0 ✓ ✓ $-0.413$ $0$ $0.213260$ Character $\chi_{683}(107, \cdot)$
1-683-683.11-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.11 $1$ 0 ✓ ✓ $0.111$ $0$ $1.59120$ Character $\chi_{683}(11, \cdot)$
1-683-683.110-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.110 $1$ 0 ✓ ✓ $0.165$ $0$ $0.609432$ Character $\chi_{683}(110, \cdot)$
1-683-683.111-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.111 $1$ 0 ✓ ✓ $-0.224$ $0$ $0.610081$ Character $\chi_{683}(111, \cdot)$
1-683-683.112-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.112 $1$ 0 ✓ ✓ $0.0121$ $0$ $0.220643$ Character $\chi_{683}(112, \cdot)$
1-683-683.113-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.113 $1$ 0 ✓ ✓ $-0.141$ $0$ $0.695651$ Character $\chi_{683}(113, \cdot)$
1-683-683.114-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.114 $1$ 0 ✓ ✓ $-0.316$ $0$ $0.106173$ Character $\chi_{683}(114, \cdot)$
1-683-683.117-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.117 $1$ 0 ✓ ✓ $0.00717$ $0$ $1.11449$ Character $\chi_{683}(117, \cdot)$
1-683-683.118-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.118 $1$ 0 ✓ ✓ $0.227$ $0$ $0.878350$ Character $\chi_{683}(118, \cdot)$
1-683-683.122-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.122 $1$ 0 ✓ ✓ $-0.168$ $0$ $0.595714$ Character $\chi_{683}(122, \cdot)$
1-683-683.123-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.123 $1$ 0 ✓ ✓ $0.193$ $0$ $0.926920$ Character $\chi_{683}(123, \cdot)$
1-683-683.124-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.124 $1$ 0 ✓ ✓ $-0.0465$ $0$ $0.668515$ Character $\chi_{683}(124, \cdot)$
1-683-683.125-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.125 $1$ 0 ✓ ✓ $-0.0803$ $0$ $1.01266$ Character $\chi_{683}(125, \cdot)$
1-683-683.128-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.128 $1$ 0 ✓ ✓ $-0.436$ $0$ $1.67160$ Character $\chi_{683}(128, \cdot)$
1-683-683.129-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.129 $1$ 0 ✓ ✓ $-0.187$ $0$ $2.47381$ Character $\chi_{683}(129, \cdot)$
1-683-683.13-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.13 $1$ 0 ✓ ✓ $-0.206$ $0$ $0.862096$ Character $\chi_{683}(13, \cdot)$
1-683-683.130-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.130 $1$ 0 ✓ ✓ $0.357$ $0$ $1.06538$ Character $\chi_{683}(130, \cdot)$
1-683-683.131-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.131 $1$ 0 ✓ ✓ $-0.244$ $0$ $0.686421$ Character $\chi_{683}(131, \cdot)$
1-683-683.132-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.132 $1$ 0 ✓ ✓ $-0.279$ $0$ $0.0149782$ Character $\chi_{683}(132, \cdot)$
1-683-683.133-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.133 $1$ 0 ✓ ✓ $-0.219$ $0$ $0.621059$ Character $\chi_{683}(133, \cdot)$
1-683-683.134-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.134 $1$ 0 ✓ ✓ $0.329$ $0$ $1.90823$ Character $\chi_{683}(134, \cdot)$
1-683-683.135-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.135 $1$ 0 ✓ ✓ $0.482$ $0$ $0.733059$ Character $\chi_{683}(135, \cdot)$
1-683-683.139-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.139 $1$ 0 ✓ ✓ $0.392$ $0$ $1.53378$ Character $\chi_{683}(139, \cdot)$
1-683-683.141-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.141 $1$ 0 ✓ ✓ $-0.132$ $0$ $0.414202$ Character $\chi_{683}(141, \cdot)$
1-683-683.142-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.142 $1$ 0 ✓ ✓ $-0.0907$ $0$ $0.324022$ Character $\chi_{683}(142, \cdot)$
1-683-683.145-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.145 $1$ 0 ✓ ✓ $0.494$ $0$ $1.66299$ Character $\chi_{683}(145, \cdot)$
1-683-683.148-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.148 $1$ 0 ✓ ✓ $0.461$ $0$ $0.526632$ Character $\chi_{683}(148, \cdot)$
1-683-683.149-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.149 $1$ 0 ✓ ✓ $0.175$ $0$ $0.525421$ Character $\chi_{683}(149, \cdot)$
1-683-683.15-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.15 $1$ 0 ✓ ✓ $-0.299$ $0$ $1.23839$ Character $\chi_{683}(15, \cdot)$
1-683-683.150-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.150 $1$ 0 ✓ ✓ $0.370$ $0$ $0.229772$ Character $\chi_{683}(150, \cdot)$
1-683-683.152-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.152 $1$ 0 ✓ ✓ $-0.105$ $0$ $0.569622$ Character $\chi_{683}(152, \cdot)$
1-683-683.153-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.153 $1$ 0 ✓ ✓ $0.0803$ $0$ $1.25338$ Character $\chi_{683}(153, \cdot)$
1-683-683.154-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.154 $1$ 0 ✓ ✓ $-0.335$ $0$ $0.0250341$ Character $\chi_{683}(154, \cdot)$
1-683-683.156-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.156 $1$ 0 ✓ ✓ $0.491$ $0$ $0.163341$ Character $\chi_{683}(156, \cdot)$
1-683-683.157-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.157 $1$ 0 ✓ ✓ $0.147$ $0$ $0.0477565$ Character $\chi_{683}(157, \cdot)$
1-683-683.162-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.162 $1$ 0 ✓ ✓ $-0.491$ $0$ $1.89721$ Character $\chi_{683}(162, \cdot)$
1-683-683.164-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.164 $1$ 0 ✓ ✓ $0.310$ $0$ $0.972774$ Character $\chi_{683}(164, \cdot)$
1-683-683.166-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.166 $1$ 0 ✓ ✓ $-0.220$ $0$ $0.299573$ Character $\chi_{683}(166, \cdot)$
1-683-683.17-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.17 $1$ 0 ✓ ✓ $-0.494$ $0$ $2.06188$ Character $\chi_{683}(17, \cdot)$
1-683-683.170-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.170 $1$ 0 ✓ ✓ $0.0375$ $0$ $0.423249$ Character $\chi_{683}(170, \cdot)$
1-683-683.172-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.172 $1$ 0 ✓ ✓ $-0.292$ $0$ $0.145530$ Character $\chi_{683}(172, \cdot)$
1-683-683.174-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.174 $1$ 0 ✓ ✓ $0.288$ $0$ $1.35054$ Character $\chi_{683}(174, \cdot)$
1-683-683.175-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.175 $1$ 0 ✓ ✓ $0.421$ $0$ $1.62922$ Character $\chi_{683}(175, \cdot)$
1-683-683.176-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.176 $1$ 0 ✓ ✓ $0.398$ $0$ $1.10338$ Character $\chi_{683}(176, \cdot)$
1-683-683.179-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.179 $1$ 0 ✓ ✓ $-0.494$ $0$ $0.552836$ Character $\chi_{683}(179, \cdot)$
1-683-683.18-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.18 $1$ 0 ✓ ✓ $0.448$ $0$ $1.35571$ Character $\chi_{683}(18, \cdot)$
1-683-683.180-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.180 $1$ 0 ✓ ✓ $0.155$ $0$ $0.000244423$ Character $\chi_{683}(180, \cdot)$
1-683-683.181-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.181 $1$ 0 ✓ ✓ $0.399$ $0$ $1.38082$ Character $\chi_{683}(181, \cdot)$
1-683-683.182-r1-0-0 $73.3$ $73.3$ $1$ $683$ 683.182 $1$ 0 ✓ ✓ $0.0592$ $0$ $0.527293$ Character $\chi_{683}(182, \cdot)$
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