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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 133 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
1-269-269.100-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.100 $0$ 0 ✓ ✓ $-0.282$ $0$ $0.570872$ Character $\chi_{269}(100, \cdot)$
1-269-269.103-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.103 $0$ 0 ✓ ✓ $0.333$ $0$ $1.37707$ Character $\chi_{269}(103, \cdot)$
1-269-269.105-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.105 $0$ 0 ✓ ✓ $-0.289$ $0$ $0.454195$ Character $\chi_{269}(105, \cdot)$
1-269-269.11-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.11 $0$ 0 ✓ ✓ $0.0777$ $0$ $1.38009$ Character $\chi_{269}(11, \cdot)$
1-269-269.115-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.115 $0$ 0 ✓ ✓ $0.417$ $0$ $2.14657$ Character $\chi_{269}(115, \cdot)$
1-269-269.117-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.117 $0$ 0 ✓ ✓ $0.228$ $0$ $0.794031$ Character $\chi_{269}(117, \cdot)$
1-269-269.118-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.118 $0$ 0 ✓ ✓ $-0.103$ $0$ $1.41586$ Character $\chi_{269}(118, \cdot)$
1-269-269.119-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.119 $0$ 0 ✓ ✓ $-0.273$ $0$ $0.200225$ Character $\chi_{269}(119, \cdot)$
1-269-269.120-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.120 $0$ 0 ✓ ✓ $-0.357$ $0$ $2.93382$ Character $\chi_{269}(120, \cdot)$
1-269-269.121-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.121 $0$ 0 ✓ ✓ $-0.160$ $0$ $1.22721$ Character $\chi_{269}(121, \cdot)$
1-269-269.125-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.125 $0$ 0 ✓ ✓ $-0.475$ $0$ $2.00308$ Character $\chi_{269}(125, \cdot)$
1-269-269.126-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.126 $0$ 0 ✓ ✓ $-0.426$ $0$ $1.25732$ Character $\chi_{269}(126, \cdot)$
1-269-269.127-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.127 $0$ 0 ✓ ✓ $0.0296$ $0$ $1.83682$ Character $\chi_{269}(127, \cdot)$
1-269-269.13-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.13 $0$ 0 ✓ ✓ $0.00487$ $0$ $1.38578$ Character $\chi_{269}(13, \cdot)$
1-269-269.131-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.131 $0$ 0 ✓ ✓ $-0.417$ $0$ $0.697258$ Character $\chi_{269}(131, \cdot)$
1-269-269.133-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.133 $0$ 0 ✓ ✓ $-0.236$ $0$ $1.02302$ Character $\chi_{269}(133, \cdot)$
1-269-269.136-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.136 $0$ 0 ✓ ✓ $-0.212$ $0$ $0.878001$ Character $\chi_{269}(136, \cdot)$
1-269-269.138-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.138 $0$ 0 ✓ ✓ $0.337$ $0$ $2.30900$ Character $\chi_{269}(138, \cdot)$
1-269-269.14-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.14 $0$ 0 ✓ ✓ $0.376$ $0$ $2.60413$ Character $\chi_{269}(14, \cdot)$
1-269-269.142-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.142 $0$ 0 ✓ ✓ $-0.342$ $0$ $2.45781$ Character $\chi_{269}(142, \cdot)$
1-269-269.143-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.143 $0$ 0 ✓ ✓ $-0.326$ $0$ $1.95726$ Character $\chi_{269}(143, \cdot)$
1-269-269.144-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.144 $0$ 0 ✓ ✓ $-0.410$ $0$ $0.338848$ Character $\chi_{269}(144, \cdot)$
1-269-269.148-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.148 $0$ 0 ✓ ✓ $0.144$ $0$ $1.18341$ Character $\chi_{269}(148, \cdot)$
1-269-269.149-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.149 $0$ 0 ✓ ✓ $-0.357$ $0$ $0.537524$ Character $\chi_{269}(149, \cdot)$
1-269-269.150-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.150 $0$ 0 ✓ ✓ $-0.0283$ $0$ $1.99867$ Character $\chi_{269}(150, \cdot)$
1-269-269.151-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.151 $0$ 0 ✓ ✓ $0.405$ $0$ $1.40850$ Character $\chi_{269}(151, \cdot)$
1-269-269.152-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.152 $0$ 0 ✓ ✓ $-0.308$ $0$ $1.19232$ Character $\chi_{269}(152, \cdot)$
1-269-269.154-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.154 $0$ 0 ✓ ✓ $-0.337$ $0$ $1.08751$ Character $\chi_{269}(154, \cdot)$
1-269-269.16-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.16 $0$ 0 ✓ ✓ $0.109$ $0$ $2.06659$ Character $\chi_{269}(16, \cdot)$
1-269-269.164-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.164 $0$ 0 ✓ ✓ $0.0336$ $0$ $1.60715$ Character $\chi_{269}(164, \cdot)$
1-269-269.166-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.166 $0$ 0 ✓ ✓ $-0.198$ $0$ $1.51812$ Character $\chi_{269}(166, \cdot)$
1-269-269.169-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.169 $0$ 0 ✓ ✓ $0.361$ $0$ $2.01522$ Character $\chi_{269}(169, \cdot)$
1-269-269.170-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.170 $0$ 0 ✓ ✓ $0.410$ $0$ $1.84895$ Character $\chi_{269}(170, \cdot)$
1-269-269.172-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.172 $0$ 0 ✓ ✓ $-0.0408$ $0$ $1.65230$ Character $\chi_{269}(172, \cdot)$
1-269-269.173-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.173 $0$ 0 ✓ ✓ $-0.376$ $0$ $0.909888$ Character $\chi_{269}(173, \cdot)$
1-269-269.176-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.176 $0$ 0 ✓ ✓ $-0.326$ $0$ $0.736269$ Character $\chi_{269}(176, \cdot)$
1-269-269.177-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.177 $0$ 0 ✓ ✓ $0.220$ $0$ $2.01675$ Character $\chi_{269}(177, \cdot)$
1-269-269.180-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.180 $0$ 0 ✓ ✓ $0.212$ $0$ $2.00294$ Character $\chi_{269}(180, \cdot)$
1-269-269.182-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.182 $0$ 0 ✓ ✓ $-0.433$ $0$ $0.702676$ Character $\chi_{269}(182, \cdot)$
1-269-269.185-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.185 $0$ 0 ✓ ✓ $-0.109$ $0$ $1.11817$ Character $\chi_{269}(185, \cdot)$
1-269-269.188-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.188 $0$ 0 ✓ ✓ $0.326$ $0$ $2.12578$ Character $\chi_{269}(188, \cdot)$
1-269-269.189-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.189 $0$ 0 ✓ ✓ $0.336$ $0$ $1.22479$ Character $\chi_{269}(189, \cdot)$
1-269-269.190-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.190 $0$ 0 ✓ ✓ $0.326$ $0$ $0.0513044$ Character $\chi_{269}(190, \cdot)$
1-269-269.191-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.191 $0$ 0 ✓ ✓ $0.282$ $0$ $1.65071$ Character $\chi_{269}(191, \cdot)$
1-269-269.196-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.196 $0$ 0 ✓ ✓ $0.432$ $0$ $2.23119$ Character $\chi_{269}(196, \cdot)$
1-269-269.199-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.199 $0$ 0 ✓ ✓ $0.0264$ $0$ $0.774994$ Character $\chi_{269}(199, \cdot)$
1-269-269.20-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.20 $0$ 0 ✓ ✓ $-0.144$ $0$ $1.20272$ Character $\chi_{269}(20, \cdot)$
1-269-269.202-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.202 $0$ 0 ✓ ✓ $0.157$ $0$ $1.94512$ Character $\chi_{269}(202, \cdot)$
1-269-269.203-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.203 $0$ 0 ✓ ✓ $0.417$ $0$ $0.733253$ Character $\chi_{269}(203, \cdot)$
1-269-269.204-r0-0-0 $1.24$ $1.24$ $1$ $269$ 269.204 $0$ 0 ✓ ✓ $0.357$ $0$ $0.394053$ Character $\chi_{269}(204, \cdot)$
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