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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 195 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
1-197-197.10-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.10 $0$ 0 ✓ ✓ $0.129$ $0$ $1.67184$ Character $\chi_{197}(10, \cdot)$
1-197-197.100-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.100 $0$ 0 ✓ ✓ $-0.0903$ $0$ $1.49202$ Character $\chi_{197}(100, \cdot)$
1-197-197.101-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.101 $0$ 0 ✓ ✓ $0.266$ $0$ $1.52275$ Character $\chi_{197}(101, \cdot)$
1-197-197.104-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.104 $0$ 0 ✓ ✓ $-0.0435$ $0$ $1.28730$ Character $\chi_{197}(104, \cdot)$
1-197-197.105-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.105 $0$ 0 ✓ ✓ $0.249$ $0$ $2.15877$ Character $\chi_{197}(105, \cdot)$
1-197-197.107-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.107 $0$ 0 ✓ ✓ $-0.452$ $0$ $1.04822$ Character $\chi_{197}(107, \cdot)$
1-197-197.109-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.109 $0$ 0 ✓ ✓ $-0.0781$ $0$ $1.68690$ Character $\chi_{197}(109, \cdot)$
1-197-197.112-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.112 $0$ 0 ✓ ✓ $-0.218$ $0$ $1.06715$ Character $\chi_{197}(112, \cdot)$
1-197-197.114-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.114 $0$ 0 ✓ ✓ $-0.327$ $0$ $0.430615$ Character $\chi_{197}(114, \cdot)$
1-197-197.116-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.116 $0$ 0 ✓ ✓ $0.452$ $0$ $2.99889$ Character $\chi_{197}(116, \cdot)$
1-197-197.121-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.121 $0$ 0 ✓ ✓ $-0.308$ $0$ $2.22774$ Character $\chi_{197}(121, \cdot)$
1-197-197.127-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.127 $0$ 0 ✓ ✓ $0.308$ $0$ $0.0739869$ Character $\chi_{197}(127, \cdot)$
1-197-197.132-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.132 $0$ 0 ✓ ✓ $0.0903$ $0$ $1.91559$ Character $\chi_{197}(132, \cdot)$
1-197-197.133-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.133 $0$ 0 ✓ ✓ $0.273$ $0$ $2.21401$ Character $\chi_{197}(133, \cdot)$
1-197-197.134-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.134 $0$ 0 ✓ ✓ $0.309$ $0$ $2.24928$ Character $\chi_{197}(134, \cdot)$
1-197-197.135-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.135 $0$ 0 ✓ ✓ $-0.147$ $0$ $0.645517$ Character $\chi_{197}(135, \cdot)$
1-197-197.136-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.136 $0$ 0 ✓ ✓ $0.294$ $0$ $0.293750$ Character $\chi_{197}(136, \cdot)$
1-197-197.137-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.137 $0$ 0 ✓ ✓ $-0.403$ $0$ $1.04238$ Character $\chi_{197}(137, \cdot)$
1-197-197.138-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.138 $0$ 0 ✓ ✓ $-0.129$ $0$ $1.33435$ Character $\chi_{197}(138, \cdot)$
1-197-197.142-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.142 $0$ 0 ✓ ✓ $0.227$ $0$ $1.80425$ Character $\chi_{197}(142, \cdot)$
1-197-197.143-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.143 $0$ 0 ✓ ✓ $0.0350$ $0$ $1.08318$ Character $\chi_{197}(143, \cdot)$
1-197-197.144-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.144 $0$ 0 ✓ ✓ $-0.184$ $0$ $1.58321$ Character $\chi_{197}(144, \cdot)$
1-197-197.146-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.146 $0$ 0 ✓ ✓ $0.218$ $0$ $1.22540$ Character $\chi_{197}(146, \cdot)$
1-197-197.148-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.148 $0$ 0 ✓ ✓ $0.114$ $0$ $2.34896$ Character $\chi_{197}(148, \cdot)$
1-197-197.15-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.15 $0$ 0 ✓ ✓ $0.359$ $0$ $1.38236$ Character $\chi_{197}(15, \cdot)$
1-197-197.150-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.150 $0$ 0 ✓ ✓ $-0.0371$ $0$ $1.25924$ Character $\chi_{197}(150, \cdot)$
1-197-197.154-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.154 $0$ 0 ✓ ✓ $-0.227$ $0$ $1.35431$ Character $\chi_{197}(154, \cdot)$
1-197-197.155-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.155 $0$ 0 ✓ ✓ $-0.294$ $0$ $3.01809$ Character $\chi_{197}(155, \cdot)$
1-197-197.156-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.156 $0$ 0 ✓ ✓ $0.189$ $0$ $2.28202$ Character $\chi_{197}(156, \cdot)$
1-197-197.157-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.157 $0$ 0 ✓ ✓ $0.145$ $0$ $1.81230$ Character $\chi_{197}(157, \cdot)$
1-197-197.158-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.158 $0$ 0 ✓ ✓ $-0.266$ $0$ $0.877637$ Character $\chi_{197}(158, \cdot)$
1-197-197.16-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.16 $0$ 0 ✓ ✓ $-0.166$ $0$ $1.44058$ Character $\chi_{197}(16, \cdot)$
1-197-197.160-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.160 $0$ 0 ✓ ✓ $-0.263$ $0$ $1.02411$ Character $\chi_{197}(160, \cdot)$
1-197-197.161-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.161 $0$ 0 ✓ ✓ $-0.0851$ $0$ $0.925980$ Character $\chi_{197}(161, \cdot)$
1-197-197.163-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.163 $0$ 0 ✓ ✓ $0.479$ $0$ $2.10067$ Character $\chi_{197}(163, \cdot)$
1-197-197.164-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.164 $0$ 0 ✓ ✓ $-0.345$ $0$ $0.377104$ Character $\chi_{197}(164, \cdot)$
1-197-197.168-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.168 $0$ 0 ✓ ✓ $-0.479$ $0$ $0.982914$ Character $\chi_{197}(168, \cdot)$
1-197-197.169-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.169 $0$ 0 ✓ ✓ $-0.447$ $0$ $2.38203$ Character $\chi_{197}(169, \cdot)$
1-197-197.171-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.171 $0$ 0 ✓ ✓ $-0.488$ $0$ $0.000792115$ Character $\chi_{197}(171, \cdot)$
1-197-197.172-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.172 $0$ 0 ✓ ✓ $-0.107$ $0$ $0.883385$ Character $\chi_{197}(172, \cdot)$
1-197-197.173-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.173 $0$ 0 ✓ ✓ $0.0623$ $0$ $1.06931$ Character $\chi_{197}(173, \cdot)$
1-197-197.174-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.174 $0$ 0 ✓ ✓ $0.403$ $0$ $2.51472$ Character $\chi_{197}(174, \cdot)$
1-197-197.175-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.175 $0$ 0 ✓ ✓ $0.232$ $0$ $2.10216$ Character $\chi_{197}(175, \cdot)$
1-197-197.178-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.178 $0$ 0 ✓ ✓ $0.327$ $0$ $1.41921$ Character $\chi_{197}(178, \cdot)$
1-197-197.181-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.181 $0$ 0 ✓ ✓ $0.263$ $0$ $1.77764$ Character $\chi_{197}(181, \cdot)$
1-197-197.182-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.182 $0$ 0 ✓ ✓ $-0.249$ $0$ $1.68235$ Character $\chi_{197}(182, \cdot)$
1-197-197.187-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.187 $0$ 0 ✓ ✓ $-0.138$ $0$ $1.32875$ Character $\chi_{197}(187, \cdot)$
1-197-197.188-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.188 $0$ 0 ✓ ✓ $-0.232$ $0$ $0.816580$ Character $\chi_{197}(188, \cdot)$
1-197-197.19-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.19 $0$ 0 ✓ ✓ $-0.243$ $0$ $1.04318$ Character $\chi_{197}(19, \cdot)$
1-197-197.190-r0-0-0 $0.914$ $0.914$ $1$ $197$ 197.190 $0$ 0 ✓ ✓ $0.135$ $0$ $0.976006$ Character $\chi_{197}(190, \cdot)$
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