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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 354 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
1-709-709.10-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.10 $1$ 0 ✓ ✓ $-0.333$ $0$ $0.309874$ Character $\chi_{709}(10, \cdot)$
1-709-709.101-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.101 $1$ 0 ✓ ✓ $0.119$ $0$ $0.666354$ Character $\chi_{709}(101, \cdot)$
1-709-709.107-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.107 $1$ 0 ✓ ✓ $-0.280$ $0$ $1.56777$ Character $\chi_{709}(107, \cdot)$
1-709-709.109-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.109 $1$ 0 ✓ ✓ $-0.0664$ $0$ $0.902273$ Character $\chi_{709}(109, \cdot)$
1-709-709.110-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.110 $1$ 0 ✓ ✓ $0.213$ $0$ $0.618568$ Character $\chi_{709}(110, \cdot)$
1-709-709.111-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.111 $1$ 0 ✓ ✓ $-0.0147$ $0$ $0.0918974$ Character $\chi_{709}(111, \cdot)$
1-709-709.114-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.114 $1$ 0 ✓ ✓ $0.348$ $0$ $0.591656$ Character $\chi_{709}(114, \cdot)$
1-709-709.115-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.115 $1$ 0 ✓ ✓ $-0.356$ $0$ $1.41544$ Character $\chi_{709}(115, \cdot)$
1-709-709.117-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.117 $1$ 0 ✓ ✓ $-0.130$ $0$ $0.347622$ Character $\chi_{709}(117, \cdot)$
1-709-709.118-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.118 $1$ 0 ✓ ✓ $-0.0106$ $0$ $0.290605$ Character $\chi_{709}(118, \cdot)$
1-709-709.119-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.119 $1$ 0 ✓ ✓ $0.0588$ $0$ $0.468249$ Character $\chi_{709}(119, \cdot)$
1-709-709.120-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.120 $1$ 0 ✓ ✓ $0.328$ $0$ $0.121970$ Character $\chi_{709}(120, \cdot)$
1-709-709.123-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.123 $1$ 0 ✓ ✓ $-0.257$ $0$ $0.251237$ Character $\chi_{709}(123, \cdot)$
1-709-709.124-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.124 $1$ 0 ✓ ✓ $0.0606$ $0$ $0.545936$ Character $\chi_{709}(124, \cdot)$
1-709-709.126-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.126 $1$ 0 ✓ ✓ $0.278$ $0$ $0.622036$ Character $\chi_{709}(126, \cdot)$
1-709-709.128-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.128 $1$ 0 ✓ ✓ $-0.210$ $0$ $0.585926$ Character $\chi_{709}(128, \cdot)$
1-709-709.13-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.13 $1$ 0 ✓ ✓ $-0.487$ $0$ $0.481815$ Character $\chi_{709}(13, \cdot)$
1-709-709.131-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.131 $1$ 0 ✓ ✓ $-0.398$ $0$ $0.191864$ Character $\chi_{709}(131, \cdot)$
1-709-709.134-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.134 $1$ 0 ✓ ✓ $-0.0137$ $0$ $0.408928$ Character $\chi_{709}(134, \cdot)$
1-709-709.137-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.137 $1$ 0 ✓ ✓ $0.0100$ $0$ $0.0903600$ Character $\chi_{709}(137, \cdot)$
1-709-709.139-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.139 $1$ 0 ✓ ✓ $-0.0836$ $0$ $0.296827$ Character $\chi_{709}(139, \cdot)$
1-709-709.14-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.14 $1$ 0 ✓ ✓ $0.0812$ $0$ $1.32091$ Character $\chi_{709}(14, \cdot)$
1-709-709.143-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.143 $1$ 0 ✓ ✓ $-0.0588$ $0$ $1.05985$ Character $\chi_{709}(143, \cdot)$
1-709-709.148-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.148 $1$ 0 ✓ ✓ $0.0621$ $0$ $1.36347$ Character $\chi_{709}(148, \cdot)$
1-709-709.150-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.150 $1$ 0 ✓ ✓ $-0.0712$ $0$ $0.286698$ Character $\chi_{709}(150, \cdot)$
1-709-709.152-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.152 $1$ 0 ✓ ✓ $-0.0812$ $0$ $1.16461$ Character $\chi_{709}(152, \cdot)$
1-709-709.153-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.153 $1$ 0 ✓ ✓ $-0.417$ $0$ $1.52469$ Character $\chi_{709}(153, \cdot)$
1-709-709.154-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.154 $1$ 0 ✓ ✓ $-0.0798$ $0$ $1.02375$ Character $\chi_{709}(154, \cdot)$
1-709-709.155-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.155 $1$ 0 ✓ ✓ $0.118$ $0$ $1.19727$ Character $\chi_{709}(155, \cdot)$
1-709-709.156-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.156 $1$ 0 ✓ ✓ $0.248$ $0$ $0.682519$ Character $\chi_{709}(156, \cdot)$
1-709-709.159-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.159 $1$ 0 ✓ ✓ $-0.154$ $0$ $0.110688$ Character $\chi_{709}(159, \cdot)$
1-709-709.160-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.160 $1$ 0 ✓ ✓ $0.0497$ $0$ $0.709446$ Character $\chi_{709}(160, \cdot)$
1-709-709.161-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.161 $1$ 0 ✓ ✓ $-0.0522$ $0$ $1.04393$ Character $\chi_{709}(161, \cdot)$
1-709-709.162-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.162 $1$ 0 ✓ ✓ $-0.376$ $0$ $0.0777947$ Character $\chi_{709}(162, \cdot)$
1-709-709.164-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.164 $1$ 0 ✓ ✓ $-0.437$ $0$ $0.199610$ Character $\chi_{709}(164, \cdot)$
1-709-709.167-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.167 $1$ 0 ✓ ✓ $-0.370$ $0$ $1.91155$ Character $\chi_{709}(167, \cdot)$
1-709-709.168-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.168 $1$ 0 ✓ ✓ $0.326$ $0$ $0.782611$ Character $\chi_{709}(168, \cdot)$
1-709-709.17-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.17 $1$ 0 ✓ ✓ $0.456$ $0$ $1.33464$ Character $\chi_{709}(17, \cdot)$
1-709-709.173-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.173 $1$ 0 ✓ ✓ $0.220$ $0$ $1.29823$ Character $\chi_{709}(173, \cdot)$
1-709-709.174-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.174 $1$ 0 ✓ ✓ $0.227$ $0$ $0.887016$ Character $\chi_{709}(174, \cdot)$
1-709-709.18-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.18 $1$ 0 ✓ ✓ $-0.368$ $0$ $0.424069$ Character $\chi_{709}(18, \cdot)$
1-709-709.183-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.183 $1$ 0 ✓ ✓ $0.312$ $0$ $0.110720$ Character $\chi_{709}(183, \cdot)$
1-709-709.185-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.185 $1$ 0 ✓ ✓ $-0.0877$ $0$ $0.387266$ Character $\chi_{709}(185, \cdot)$
1-709-709.187-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.187 $1$ 0 ✓ ✓ $-0.0841$ $0$ $0.323518$ Character $\chi_{709}(187, \cdot)$
1-709-709.190-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.190 $1$ 0 ✓ ✓ $0.417$ $0$ $0.140028$ Character $\chi_{709}(190, \cdot)$
1-709-709.195-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.195 $1$ 0 ✓ ✓ $0.460$ $0$ $1.69187$ Character $\chi_{709}(195, \cdot)$
1-709-709.197-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.197 $1$ 0 ✓ ✓ $0.368$ $0$ $1.08994$ Character $\chi_{709}(197, \cdot)$
1-709-709.198-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.198 $1$ 0 ✓ ✓ $-0.281$ $0$ $0.391771$ Character $\chi_{709}(198, \cdot)$
1-709-709.2-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.2 $1$ 0 ✓ ✓ $0.171$ $0$ $1.05848$ Character $\chi_{709}(2, \cdot)$
1-709-709.200-r1-0-0 $76.1$ $76.1$ $1$ $709$ 709.200 $1$ 0 ✓ ✓ $-0.266$ $0$ $0.268795$ Character $\chi_{709}(200, \cdot)$
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