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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 93 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
1-247-247.10-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.10 $1$ 0 ✓ ✓ $-0.165$ $0$ $0.954131$ Character $\chi_{247}(10, \cdot)$
1-247-247.102-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.102 $1$ 0 ✓ ✓ $0.138$ $0$ $1.27920$ Character $\chi_{247}(102, \cdot)$
1-247-247.103-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.103 $1$ 0 ✓ ✓ $-0.401$ $0$ $0.0115618$ Character $\chi_{247}(103, \cdot)$
1-247-247.106-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.106 $1$ 0 ✓ ✓ $-0.386$ $0$ $0.578400$ Character $\chi_{247}(106, \cdot)$
1-247-247.107-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.107 $1$ 0 ✓ ✓ $-0.222$ $0$ $2.80114$ Character $\chi_{247}(107, \cdot)$
1-247-247.108-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.108 $1$ 0 ✓ ✓ $-0.0813$ $0$ $0.351530$ Character $\chi_{247}(108, \cdot)$
1-247-247.11-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.11 $1$ 0 ✓ ✓ $0.206$ $0$ $1.20730$ Character $\chi_{247}(11, \cdot)$
1-247-247.111-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.111 $1$ 0 ✓ ✓ $-0.354$ $0$ $0.00426802$ Character $\chi_{247}(111, \cdot)$
1-247-247.112-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.112 $1$ 0 ✓ ✓ $0.284$ $0$ $1.90093$ Character $\chi_{247}(112, \cdot)$
1-247-247.113-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.113 $1$ 0 ✓ ✓ $-0.376$ $0$ $2.43649$ Character $\chi_{247}(113, \cdot)$
1-247-247.116-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.116 $1$ 0 ✓ ✓ $-0.246$ $0$ $0.556462$ Character $\chi_{247}(116, \cdot)$
1-247-247.119-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.119 $1$ 0 ✓ ✓ $-0.109$ $0$ $1.59416$ Character $\chi_{247}(119, \cdot)$
1-247-247.12-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.12 $1$ 0 ✓ ✓ $0.401$ $0$ $1.25566$ Character $\chi_{247}(12, \cdot)$
1-247-247.123-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.123 $1$ 0 ✓ ✓ $0.00363$ $0$ $1.17382$ Character $\chi_{247}(123, \cdot)$
1-247-247.125-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.125 $1$ 0 ✓ ✓ $0.487$ $0$ $0.765021$ Character $\chi_{247}(125, \cdot)$
1-247-247.126-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.126 $1$ 0 ✓ ✓ $0.0250$ $0$ $0.407539$ Character $\chi_{247}(126, \cdot)$
1-247-247.127-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.127 $1$ 0 ✓ ✓ $0.0811$ $0$ $1.47731$ Character $\chi_{247}(127, \cdot)$
1-247-247.129-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.129 $1$ 0 ✓ ✓ $0.314$ $0$ $1.93930$ Character $\chi_{247}(129, \cdot)$
1-247-247.137-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.137 $1$ 0 ✓ ✓ $0.109$ $0$ $1.60920$ Character $\chi_{247}(137, \cdot)$
1-247-247.138-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.138 $1$ 0 ✓ ✓ $-0.235$ $0$ $2.15824$ Character $\chi_{247}(138, \cdot)$
1-247-247.146-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.146 $1$ 0 ✓ ✓ $-0.124$ $0$ $0.724885$ Character $\chi_{247}(146, \cdot)$
1-247-247.147-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.147 $1$ 0 ✓ ✓ $0.104$ $0$ $1.18497$ Character $\chi_{247}(147, \cdot)$
1-247-247.149-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.149 $1$ 0 ✓ ✓ $0.0518$ $0$ $0.879419$ Character $\chi_{247}(149, \cdot)$
1-247-247.150-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.150 $1$ 0 ✓ ✓ $0.248$ $0$ $1.48790$ Character $\chi_{247}(150, \cdot)$
1-247-247.155-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.155 $1$ 0 ✓ ✓ $0.499$ $0$ $1.37817$ Character $\chi_{247}(155, \cdot)$
1-247-247.158-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.158 $1$ 0 ✓ ✓ $0.354$ $0$ $1.49522$ Character $\chi_{247}(158, \cdot)$
1-247-247.160-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.160 $1$ 0 ✓ ✓ $0.0176$ $0$ $0.964249$ Character $\chi_{247}(160, \cdot)$
1-247-247.161-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.161 $1$ 0 ✓ ✓ $-0.284$ $0$ $0.457204$ Character $\chi_{247}(161, \cdot)$
1-247-247.163-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.163 $1$ 0 ✓ ✓ $0.454$ $0$ $1.57220$ Character $\chi_{247}(163, \cdot)$
1-247-247.165-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.165 $1$ 0 ✓ ✓ $0.123$ $0$ $1.31252$ Character $\chi_{247}(165, \cdot)$
1-247-247.166-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.166 $1$ 0 ✓ ✓ $0.267$ $0$ $0.562564$ Character $\chi_{247}(166, \cdot)$
1-247-247.173-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.173 $1$ 0 ✓ ✓ $0.165$ $0$ $0.462024$ Character $\chi_{247}(173, \cdot)$
1-247-247.175-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.175 $1$ 0 ✓ ✓ $-0.484$ $0$ $1.79716$ Character $\chi_{247}(175, \cdot)$
1-247-247.176-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.176 $1$ 0 ✓ ✓ $-0.267$ $0$ $0.345770$ Character $\chi_{247}(176, \cdot)$
1-247-247.177-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.177 $1$ 0 ✓ ✓ $0.228$ $0$ $1.73838$ Character $\chi_{247}(177, \cdot)$
1-247-247.179-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.179 $1$ 0 ✓ ✓ $0.180$ $0$ $1.51535$ Character $\chi_{247}(179, \cdot)$
1-247-247.180-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.180 $1$ 0 ✓ ✓ $0.341$ $0$ $2.30566$ Character $\chi_{247}(180, \cdot)$
1-247-247.181-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.181 $1$ 0 ✓ ✓ $0.246$ $0$ $0.843473$ Character $\chi_{247}(181, \cdot)$
1-247-247.185-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.185 $1$ 0 ✓ ✓ $0.0618$ $0$ $1.03127$ Character $\chi_{247}(185, \cdot)$
1-247-247.186-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.186 $1$ 0 ✓ ✓ $-0.267$ $0$ $0.419018$ Character $\chi_{247}(186, \cdot)$
1-247-247.187-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.187 $1$ 0 ✓ ✓ $-0.228$ $0$ $0.930475$ Character $\chi_{247}(187, \cdot)$
1-247-247.188-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.188 $1$ 0 ✓ ✓ $-0.341$ $0$ $0.910605$ Character $\chi_{247}(188, \cdot)$
1-247-247.192-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.192 $1$ 0 ✓ ✓ $0.327$ $0$ $1.99863$ Character $\chi_{247}(192, \cdot)$
1-247-247.197-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.197 $1$ 0 ✓ ✓ $-0.454$ $0$ $0.146397$ Character $\chi_{247}(197, \cdot)$
1-247-247.198-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.198 $1$ 0 ✓ ✓ $-0.0250$ $0$ $0.533385$ Character $\chi_{247}(198, \cdot)$
1-247-247.201-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.201 $1$ 0 ✓ ✓ $-0.138$ $0$ $0.120055$ Character $\chi_{247}(201, \cdot)$
1-247-247.204-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.204 $1$ 0 ✓ ✓ $0.309$ $0$ $1.78269$ Character $\chi_{247}(204, \cdot)$
1-247-247.205-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.205 $1$ 0 ✓ ✓ $-0.104$ $0$ $0.256268$ Character $\chi_{247}(205, \cdot)$
1-247-247.206-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.206 $1$ 0 ✓ ✓ $0.397$ $0$ $0.194703$ Character $\chi_{247}(206, \cdot)$
1-247-247.211-r1-0-0 $26.5$ $26.5$ $1$ $13 \cdot 19$ 247.211 $1$ 0 ✓ ✓ $0.122$ $0$ $1.32758$ Character $\chi_{247}(211, \cdot)$
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