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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 432 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
1-845-845.102-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.102 $0$ 0 ✓ ✓ $0.136$ $0$ $1.67186$ Character $\chi_{845}(102, \cdot)$
1-845-845.112-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.112 $0$ 0 ✓ ✓ $-0.0346$ $0$ $1.47386$ Character $\chi_{845}(112, \cdot)$
1-845-845.114-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.114 $0$ 0 ✓ ✓ $0.240$ $0$ $1.25971$ Character $\chi_{845}(114, \cdot)$
1-845-845.122-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.122 $0$ 0 ✓ ✓ $0.136$ $0$ $1.31374$ Character $\chi_{845}(122, \cdot)$
1-845-845.123-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.123 $0$ 0 ✓ ✓ $0.422$ $0$ $1.62479$ Character $\chi_{845}(123, \cdot)$
1-845-845.128-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.128 $0$ 0 ✓ ✓ $0.122$ $0$ $0.0215122$ Character $\chi_{845}(128, \cdot)$
1-845-845.129-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.129 $0$ 0 ✓ ✓ $0.322$ $0$ $2.15239$ Character $\chi_{845}(129, \cdot)$
1-845-845.132-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.132 $0$ 0 ✓ ✓ $-0.421$ $0$ $0.529983$ Character $\chi_{845}(132, \cdot)$
1-845-845.134-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.134 $0$ 0 ✓ ✓ $-0.344$ $0$ $0.767380$ Character $\chi_{845}(134, \cdot)$
1-845-845.137-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.137 $0$ 0 ✓ ✓ $-0.402$ $0$ $0.783124$ Character $\chi_{845}(137, \cdot)$
1-845-845.138-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.138 $0$ 0 ✓ ✓ $-0.264$ $0$ $0.422404$ Character $\chi_{845}(138, \cdot)$
1-845-845.139-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.139 $0$ 0 ✓ ✓ $-0.238$ $0$ $1.31543$ Character $\chi_{845}(139, \cdot)$
1-845-845.14-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.14 $0$ 0 ✓ ✓ $0.0946$ $0$ $0.364551$ Character $\chi_{845}(14, \cdot)$
1-845-845.144-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.144 $0$ 0 ✓ ✓ $0.426$ $0$ $1.90117$ Character $\chi_{845}(144, \cdot)$
1-845-845.148-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.148 $0$ 0 ✓ ✓ $0.494$ $0$ $0.688920$ Character $\chi_{845}(148, \cdot)$
1-845-845.158-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.158 $0$ 0 ✓ ✓ $-0.0989$ $0$ $1.23324$ Character $\chi_{845}(158, \cdot)$
1-845-845.159-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.159 $0$ 0 ✓ ✓ $0.0828$ $0$ $1.01485$ Character $\chi_{845}(159, \cdot)$
1-845-845.162-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.162 $0$ 0 ✓ ✓ $0.00526$ $0$ $0.996224$ Character $\chi_{845}(162, \cdot)$
1-845-845.163-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.163 $0$ 0 ✓ ✓ $0.0691$ $0$ $1.33615$ Character $\chi_{845}(163, \cdot)$
1-845-845.167-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.167 $0$ 0 ✓ ✓ $0.432$ $0$ $0.109180$ Character $\chi_{845}(167, \cdot)$
1-845-845.177-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.177 $0$ 0 ✓ ✓ $-0.494$ $0$ $1.53117$ Character $\chi_{845}(177, \cdot)$
1-845-845.179-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.179 $0$ 0 ✓ ✓ $-0.417$ $0$ $0.0815115$ Character $\chi_{845}(179, \cdot)$
1-845-845.18-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.18 $0$ 0 ✓ ✓ $-0.136$ $0$ $0.127613$ Character $\chi_{845}(18, \cdot)$
1-845-845.187-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.187 $0$ 0 ✓ ✓ $0.0392$ $0$ $1.61239$ Character $\chi_{845}(187, \cdot)$
1-845-845.193-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.193 $0$ 0 ✓ ✓ $-0.00526$ $0$ $0.839692$ Character $\chi_{845}(193, \cdot)$
1-845-845.194-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.194 $0$ 0 ✓ ✓ $0.426$ $0$ $0.395563$ Character $\chi_{845}(194, \cdot)$
1-845-845.197-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.197 $0$ 0 ✓ ✓ $-0.0691$ $0$ $1.07473$ Character $\chi_{845}(197, \cdot)$
1-845-845.199-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.199 $0$ 0 ✓ ✓ $0.261$ $0$ $1.16513$ Character $\chi_{845}(199, \cdot)$
1-845-845.2-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.2 $0$ 0 ✓ ✓ $-0.0677$ $0$ $0.523416$ Character $\chi_{845}(2, \cdot)$
1-845-845.202-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.202 $0$ 0 ✓ ✓ $-0.122$ $0$ $0.890137$ Character $\chi_{845}(202, \cdot)$
1-845-845.203-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.203 $0$ 0 ✓ ✓ $0.00657$ $0$ $1.10907$ Character $\chi_{845}(203, \cdot)$
1-845-845.204-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.204 $0$ 0 ✓ ✓ $0.155$ $0$ $0.953097$ Character $\chi_{845}(204, \cdot)$
1-845-845.209-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.209 $0$ 0 ✓ ✓ $-0.177$ $0$ $0.855907$ Character $\chi_{845}(209, \cdot)$
1-845-845.213-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.213 $0$ 0 ✓ ✓ $0.0894$ $0$ $1.03796$ Character $\chi_{845}(213, \cdot)$
1-845-845.223-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.223 $0$ 0 ✓ ✓ $0.150$ $0$ $1.02553$ Character $\chi_{845}(223, \cdot)$
1-845-845.224-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.224 $0$ 0 ✓ ✓ $0.240$ $0$ $0.798327$ Character $\chi_{845}(224, \cdot)$
1-845-845.227-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.227 $0$ 0 ✓ ✓ $0.0392$ $0$ $0.577248$ Character $\chi_{845}(227, \cdot)$
1-845-845.228-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.228 $0$ 0 ✓ ✓ $-0.0161$ $0$ $1.48143$ Character $\chi_{845}(228, \cdot)$
1-845-845.232-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.232 $0$ 0 ✓ ✓ $-0.483$ $0$ $0.263529$ Character $\chi_{845}(232, \cdot)$
1-845-845.242-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.242 $0$ 0 ✓ ✓ $-0.0894$ $0$ $0.500028$ Character $\chi_{845}(242, \cdot)$
1-845-845.244-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.244 $0$ 0 ✓ ✓ $-0.0108$ $0$ $0.606479$ Character $\chi_{845}(244, \cdot)$
1-845-845.252-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.252 $0$ 0 ✓ ✓ $0.210$ $0$ $1.14894$ Character $\chi_{845}(252, \cdot)$
1-845-845.253-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.253 $0$ 0 ✓ ✓ $-0.432$ $0$ $1.07866$ Character $\chi_{845}(253, \cdot)$
1-845-845.259-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.259 $0$ 0 ✓ ✓ $-0.201$ $0$ $0.0952068$ Character $\chi_{845}(259, \cdot)$
1-845-845.262-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.262 $0$ 0 ✓ ✓ $0.0392$ $0$ $0.839200$ Character $\chi_{845}(262, \cdot)$
1-845-845.264-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.264 $0$ 0 ✓ ✓ $0.0719$ $0$ $1.14554$ Character $\chi_{845}(264, \cdot)$
1-845-845.267-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.267 $0$ 0 ✓ ✓ $-0.368$ $0$ $0.658764$ Character $\chi_{845}(267, \cdot)$
1-845-845.269-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.269 $0$ 0 ✓ ✓ $0.293$ $0$ $1.31864$ Character $\chi_{845}(269, \cdot)$
1-845-845.274-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.274 $0$ 0 ✓ ✓ $0.372$ $0$ $1.85244$ Character $\chi_{845}(274, \cdot)$
1-845-845.278-r0-0-0 $3.92$ $3.92$ $1$ $5 \cdot 13^{2}$ 845.278 $0$ 0 ✓ ✓ $0.0879$ $0$ $0.894524$ Character $\chi_{845}(278, \cdot)$
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