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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 319 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
1-403-403.10-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.10 $0$ 0 ✓ ✓ $-0.118$ $0$ $1.38348$ Character $\chi_{403}(10, \cdot)$
1-403-403.100-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.100 $0$ 0 ✓ ✓ $0.0576$ $0$ $1.14722$ Character $\chi_{403}(100, \cdot)$
1-403-403.101-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.101 $0$ 0 ✓ ✓ $-0.129$ $0$ $0.616896$ Character $\chi_{403}(101, \cdot)$
1-403-403.103-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.103 $0$ 0 ✓ ✓ $-0.0334$ $0$ $1.02268$ Character $\chi_{403}(103, \cdot)$
1-403-403.106-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.106 $0$ 0 ✓ ✓ $-0.282$ $0$ $1.20103$ Character $\chi_{403}(106, \cdot)$
1-403-403.107-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.107 $0$ 0 ✓ ✓ $-0.0772$ $0$ $1.57392$ Character $\chi_{403}(107, \cdot)$
1-403-403.11-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.11 $0$ 0 ✓ ✓ $-0.0470$ $0$ $1.38946$ Character $\chi_{403}(11, \cdot)$
1-403-403.110-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.110 $0$ 0 ✓ ✓ $0.0470$ $0$ $1.84998$ Character $\chi_{403}(110, \cdot)$
1-403-403.113-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.113 $0$ 0 ✓ ✓ $0.0772$ $0$ $1.62056$ Character $\chi_{403}(113, \cdot)$
1-403-403.115-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.115 $0$ 0 ✓ ✓ $0.264$ $0$ $1.53589$ Character $\chi_{403}(115, \cdot)$
1-403-403.119-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.119 $0$ 0 ✓ ✓ $0.373$ $0$ $1.85007$ Character $\chi_{403}(119, \cdot)$
1-403-403.121-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.121 $0$ 0 ✓ ✓ $0.118$ $0$ $1.80462$ Character $\chi_{403}(121, \cdot)$
1-403-403.122-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.122 $0$ 0 ✓ ✓ $-0.206$ $0$ $0.837420$ Character $\chi_{403}(122, \cdot)$
1-403-403.123-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.123 $0$ 0 ✓ ✓ $0.493$ $0$ $1.62550$ Character $\chi_{403}(123, \cdot)$
1-403-403.126-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.126 $0$ 0 ✓ ✓ $-0.311$ $0$ $0.927416$ Character $\chi_{403}(126, \cdot)$
1-403-403.129-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.129 $0$ 0 ✓ ✓ $-0.230$ $0$ $0.857575$ Character $\chi_{403}(129, \cdot)$
1-403-403.133-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.133 $0$ 0 ✓ ✓ $-0.0576$ $0$ $0.964597$ Character $\chi_{403}(133, \cdot)$
1-403-403.134-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.134 $0$ 0 ✓ ✓ $0.0519$ $0$ $1.05437$ Character $\chi_{403}(134, \cdot)$
1-403-403.135-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.135 $0$ 0 ✓ ✓ $-0.00638$ $0$ $1.08877$ Character $\chi_{403}(135, \cdot)$
1-403-403.136-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.136 $0$ 0 ✓ ✓ $-0.311$ $0$ $2.30359$ Character $\chi_{403}(136, \cdot)$
1-403-403.137-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.137 $0$ 0 ✓ ✓ $-0.107$ $0$ $1.13456$ Character $\chi_{403}(137, \cdot)$
1-403-403.140-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.140 $0$ 0 ✓ ✓ $-0.483$ $0$ $0.304985$ Character $\chi_{403}(140, \cdot)$
1-403-403.141-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.141 $0$ 0 ✓ ✓ $0.0593$ $0$ $0.958238$ Character $\chi_{403}(141, \cdot)$
1-403-403.142-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.142 $0$ 0 ✓ ✓ $-0.191$ $0$ $0.802151$ Character $\chi_{403}(142, \cdot)$
1-403-403.145-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.145 $0$ 0 ✓ ✓ $0.313$ $0$ $1.23485$ Character $\chi_{403}(145, \cdot)$
1-403-403.148-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.148 $0$ 0 ✓ ✓ $-0.212$ $0$ $2.62208$ Character $\chi_{403}(148, \cdot)$
1-403-403.15-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.15 $0$ 0 ✓ ✓ $-0.333$ $0$ $0.984862$ Character $\chi_{403}(15, \cdot)$
1-403-403.150-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.150 $0$ 0 ✓ ✓ $-0.451$ $0$ $0.888927$ Character $\chi_{403}(150, \cdot)$
1-403-403.151-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.151 $0$ 0 ✓ ✓ $0.211$ $0$ $1.69950$ Character $\chi_{403}(151, \cdot)$
1-403-403.152-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.152 $0$ 0 ✓ ✓ $0.324$ $0$ $1.38833$ Character $\chi_{403}(152, \cdot)$
1-403-403.154-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.154 $0$ 0 ✓ ✓ $-0.493$ $0$ $0.225938$ Character $\chi_{403}(154, \cdot)$
1-403-403.158-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.158 $0$ 0 ✓ ✓ $-0.487$ $0$ $0.192312$ Character $\chi_{403}(158, \cdot)$
1-403-403.159-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.159 $0$ 0 ✓ ✓ $-0.246$ $0$ $1.21794$ Character $\chi_{403}(159, \cdot)$
1-403-403.16-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.16 $0$ 0 ✓ ✓ $0.311$ $0$ $1.62076$ Character $\chi_{403}(16, \cdot)$
1-403-403.160-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.160 $0$ 0 ✓ ✓ $-0.145$ $0$ $0.183567$ Character $\chi_{403}(160, \cdot)$
1-403-403.161-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.161 $0$ 0 ✓ ✓ $0.0857$ $0$ $1.36935$ Character $\chi_{403}(161, \cdot)$
1-403-403.165-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.165 $0$ 0 ✓ ✓ $0.257$ $0$ $2.20996$ Character $\chi_{403}(165, \cdot)$
1-403-403.167-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.167 $0$ 0 ✓ ✓ $-0.299$ $0$ $1.21477$ Character $\chi_{403}(167, \cdot)$
1-403-403.173-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.173 $0$ 0 ✓ ✓ $-0.106$ $0$ $1.46463$ Character $\chi_{403}(173, \cdot)$
1-403-403.176-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.176 $0$ 0 ✓ ✓ $0.487$ $0$ $1.88917$ Character $\chi_{403}(176, \cdot)$
1-403-403.177-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.177 $0$ 0 ✓ ✓ $0.212$ $0$ $0.178638$ Character $\chi_{403}(177, \cdot)$
1-403-403.184-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.184 $0$ 0 ✓ ✓ $0.158$ $0$ $0.909009$ Character $\chi_{403}(184, \cdot)$
1-403-403.189-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.189 $0$ 0 ✓ ✓ $-0.313$ $0$ $1.19047$ Character $\chi_{403}(189, \cdot)$
1-403-403.191-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.191 $0$ 0 ✓ ✓ $0.0601$ $0$ $1.07361$ Character $\chi_{403}(191, \cdot)$
1-403-403.194-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.194 $0$ 0 ✓ ✓ $-0.0439$ $0$ $0.509595$ Character $\chi_{403}(194, \cdot)$
1-403-403.197-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.197 $0$ 0 ✓ ✓ $0.359$ $0$ $2.13559$ Character $\chi_{403}(197, \cdot)$
1-403-403.201-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.201 $0$ 0 ✓ ✓ $0.247$ $0$ $1.00001$ Character $\chi_{403}(201, \cdot)$
1-403-403.203-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.203 $0$ 0 ✓ ✓ $0.00638$ $0$ $1.54610$ Character $\chi_{403}(203, \cdot)$
1-403-403.204-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.204 $0$ 0 ✓ ✓ $0.0988$ $0$ $0.693379$ Character $\chi_{403}(204, \cdot)$
1-403-403.205-r0-0-0 $1.87$ $1.87$ $1$ $13 \cdot 31$ 403.205 $0$ 0 ✓ ✓ $0.106$ $0$ $1.43280$ Character $\chi_{403}(205, \cdot)$
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