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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 159 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
1-403-403.102-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.102 $1$ 0 ✓ ✓ $0.239$ $0$ $0.419567$ Character $\chi_{403}(102, \cdot)$
1-403-403.108-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.108 $1$ 0 ✓ ✓ $-0.160$ $0$ $0.367831$ Character $\chi_{403}(108, \cdot)$
1-403-403.109-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.109 $1$ 0 ✓ ✓ $-0.350$ $0$ $0.366100$ Character $\chi_{403}(109, \cdot)$
1-403-403.111-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.111 $1$ 0 ✓ ✓ $0.395$ $0$ $0.00340892$ Character $\chi_{403}(111, \cdot)$
1-403-403.112-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.112 $1$ 0 ✓ ✓ $0.145$ $0$ $0.896572$ Character $\chi_{403}(112, \cdot)$
1-403-403.114-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.114 $1$ 0 ✓ ✓ $0.315$ $0$ $1.55250$ Character $\chi_{403}(114, \cdot)$
1-403-403.116-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.116 $1$ 0 ✓ ✓ $0.241$ $0$ $1.31461$ Character $\chi_{403}(116, \cdot)$
1-403-403.12-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.12 $1$ 0 ✓ ✓ $0.194$ $0$ $1.38455$ Character $\chi_{403}(12, \cdot)$
1-403-403.120-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.120 $1$ 0 ✓ ✓ $0.467$ $0$ $0.116620$ Character $\chi_{403}(120, \cdot)$
1-403-403.127-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.127 $1$ 0 ✓ ✓ $-0.485$ $0$ $1.52424$ Character $\chi_{403}(127, \cdot)$
1-403-403.128-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.128 $1$ 0 ✓ ✓ $0.0501$ $0$ $1.57272$ Character $\chi_{403}(128, \cdot)$
1-403-403.132-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.132 $1$ 0 ✓ ✓ $0.368$ $0$ $0.438062$ Character $\chi_{403}(132, \cdot)$
1-403-403.138-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.138 $1$ 0 ✓ ✓ $0.166$ $0$ $0.0581548$ Character $\chi_{403}(138, \cdot)$
1-403-403.139-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.139 $1$ 0 ✓ ✓ $0.0442$ $0$ $0.776134$ Character $\chi_{403}(139, \cdot)$
1-403-403.146-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.146 $1$ 0 ✓ ✓ $0.468$ $0$ $0.254808$ Character $\chi_{403}(146, \cdot)$
1-403-403.147-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.147 $1$ 0 ✓ ✓ $0.327$ $0$ $0.177275$ Character $\chi_{403}(147, \cdot)$
1-403-403.149-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.149 $1$ 0 ✓ ✓ $0.224$ $0$ $1.06069$ Character $\chi_{403}(149, \cdot)$
1-403-403.153-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.153 $1$ 0 ✓ ✓ $0.160$ $0$ $0.951687$ Character $\chi_{403}(153, \cdot)$
1-403-403.162-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.162 $1$ 0 ✓ ✓ $-0.239$ $0$ $0.492304$ Character $\chi_{403}(162, \cdot)$
1-403-403.163-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.163 $1$ 0 ✓ ✓ $-0.456$ $0$ $1.82174$ Character $\chi_{403}(163, \cdot)$
1-403-403.164-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.164 $1$ 0 ✓ ✓ $0.186$ $0$ $1.35276$ Character $\chi_{403}(164, \cdot)$
1-403-403.166-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.166 $1$ 0 ✓ ✓ $0.361$ $0$ $1.13617$ Character $\chi_{403}(166, \cdot)$
1-403-403.168-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.168 $1$ 0 ✓ ✓ $-0.194$ $0$ $0.388101$ Character $\chi_{403}(168, \cdot)$
1-403-403.17-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.17 $1$ 0 ✓ ✓ $-0.361$ $0$ $0.593933$ Character $\chi_{403}(17, \cdot)$
1-403-403.171-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.171 $1$ 0 ✓ ✓ $0.0149$ $0$ $0.984110$ Character $\chi_{403}(171, \cdot)$
1-403-403.172-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.172 $1$ 0 ✓ ✓ $0.262$ $0$ $0.00928343$ Character $\chi_{403}(172, \cdot)$
1-403-403.174-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.174 $1$ 0 ✓ ✓ $0.238$ $0$ $1.70717$ Character $\chi_{403}(174, \cdot)$
1-403-403.175-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.175 $1$ 0 ✓ ✓ $-0.219$ $0$ $1.27747$ Character $\chi_{403}(175, \cdot)$
1-403-403.178-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.178 $1$ 0 ✓ ✓ $-0.467$ $0$ $1.11916$ Character $\chi_{403}(178, \cdot)$
1-403-403.179-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.179 $1$ 0 ✓ ✓ $0.155$ $0$ $0.811809$ Character $\chi_{403}(179, \cdot)$
1-403-403.18-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.18 $1$ 0 ✓ ✓ $-0.145$ $0$ $0.768758$ Character $\chi_{403}(18, \cdot)$
1-403-403.180-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.180 $1$ 0 ✓ ✓ $0.236$ $0$ $0.111077$ Character $\chi_{403}(180, \cdot)$
1-403-403.181-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.181 $1$ 0 ✓ ✓ $0.461$ $0$ $1.65717$ Character $\chi_{403}(181, \cdot)$
1-403-403.185-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.185 $1$ 0 ✓ ✓ $-0.290$ $0$ $0.552623$ Character $\chi_{403}(185, \cdot)$
1-403-403.188-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.188 $1$ 0 ✓ ✓ $0.391$ $0$ $0.0445315$ Character $\chi_{403}(188, \cdot)$
1-403-403.19-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.19 $1$ 0 ✓ ✓ $0.185$ $0$ $1.02132$ Character $\chi_{403}(19, \cdot)$
1-403-403.190-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.190 $1$ 0 ✓ ✓ $0.00279$ $0$ $0.500050$ Character $\chi_{403}(190, \cdot)$
1-403-403.192-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.192 $1$ 0 ✓ ✓ $0.453$ $0$ $2.00057$ Character $\chi_{403}(192, \cdot)$
1-403-403.193-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.193 $1$ 0 ✓ ✓ $-0.226$ $0$ $0.475845$ Character $\chi_{403}(193, \cdot)$
1-403-403.198-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.198 $1$ 0 ✓ ✓ $-0.0958$ $0$ $0.825156$ Character $\chi_{403}(198, \cdot)$
1-403-403.199-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.199 $1$ 0 ✓ ✓ $-0.109$ $0$ $1.30996$ Character $\chi_{403}(199, \cdot)$
1-403-403.2-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.2 $1$ 0 ✓ ✓ $-0.189$ $0$ $0.0975765$ Character $\chi_{403}(2, \cdot)$
1-403-403.20-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.20 $1$ 0 ✓ ✓ $0.374$ $0$ $0.913344$ Character $\chi_{403}(20, \cdot)$
1-403-403.200-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.200 $1$ 0 ✓ ✓ $0.260$ $0$ $0.825421$ Character $\chi_{403}(200, \cdot)$
1-403-403.202-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.202 $1$ 0 ✓ ✓ $0.189$ $0$ $1.40408$ Character $\chi_{403}(202, \cdot)$
1-403-403.206-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.206 $1$ 0 ✓ ✓ $-0.207$ $0$ $0.865172$ Character $\chi_{403}(206, \cdot)$
1-403-403.207-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.207 $1$ 0 ✓ ✓ $0.400$ $0$ $0.410592$ Character $\chi_{403}(207, \cdot)$
1-403-403.212-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.212 $1$ 0 ✓ ✓ $-0.453$ $0$ $0.0575992$ Character $\chi_{403}(212, \cdot)$
1-403-403.214-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.214 $1$ 0 ✓ ✓ $0.0273$ $0$ $2.74296$ Character $\chi_{403}(214, \cdot)$
1-403-403.219-r1-0-0 $43.3$ $43.3$ $1$ $13 \cdot 31$ 403.219 $1$ 0 ✓ ✓ $0.403$ $0$ $1.78706$ Character $\chi_{403}(219, \cdot)$
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