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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 (44 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
1-89-89.12-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.12 $1$ 0 ✓ ✓ $0.391$ $0$ $2.65053$ Character $\chi_{89}(12, \cdot)$
1-89-89.13-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.13 $1$ 0 ✓ ✓ $-0.394$ $0$ $3.06842$ Character $\chi_{89}(13, \cdot)$
1-89-89.14-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.14 $1$ 0 ✓ ✓ $0.279$ $0$ $2.40355$ Character $\chi_{89}(14, \cdot)$
1-89-89.15-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.15 $1$ 0 ✓ ✓ $-0.490$ $0$ $0.596379$ Character $\chi_{89}(15, \cdot)$
1-89-89.19-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.19 $1$ 0 ✓ ✓ $-0.473$ $0$ $1.69747$ Character $\chi_{89}(19, \cdot)$
1-89-89.23-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.23 $1$ 0 ✓ ✓ $-0.0308$ $0$ $0.542585$ Character $\chi_{89}(23, \cdot)$
1-89-89.24-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.24 $1$ 0 ✓ ✓ $-0.276$ $0$ $1.10614$ Character $\chi_{89}(24, \cdot)$
1-89-89.26-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.26 $1$ 0 ✓ ✓ $0.276$ $0$ $1.90466$ Character $\chi_{89}(26, \cdot)$
1-89-89.27-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.27 $1$ 0 ✓ ✓ $-0.0445$ $0$ $1.07901$ Character $\chi_{89}(27, \cdot)$
1-89-89.28-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.28 $1$ 0 ✓ ✓ $-0.0675$ $0$ $0.899790$ Character $\chi_{89}(28, \cdot)$
1-89-89.29-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.29 $1$ 0 ✓ ✓ $0.0654$ $0$ $1.63938$ Character $\chi_{89}(29, \cdot)$
1-89-89.3-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.3 $1$ 0 ✓ ✓ $0.143$ $0$ $1.59765$ Character $\chi_{89}(3, \cdot)$
1-89-89.30-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.30 $1$ 0 ✓ ✓ $-0.143$ $0$ $1.65397$ Character $\chi_{89}(30, \cdot)$
1-89-89.31-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.31 $1$ 0 ✓ ✓ $0.0308$ $0$ $0.843020$ Character $\chi_{89}(31, \cdot)$
1-89-89.33-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.33 $1$ 0 ✓ ✓ $0.0445$ $0$ $1.25527$ Character $\chi_{89}(33, \cdot)$
1-89-89.35-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.35 $1$ 0 ✓ ✓ $0.0675$ $0$ $1.39498$ Character $\chi_{89}(35, \cdot)$
1-89-89.37-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.37 $1$ 0 ✓ ✓ $0.0604$ $0$ $1.94947$ Character $\chi_{89}(37, \cdot)$
1-89-89.38-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.38 $1$ 0 ✓ ✓ $0.300$ $0$ $1.10078$ Character $\chi_{89}(38, \cdot)$
1-89-89.41-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.41 $1$ 0 ✓ ✓ $0.332$ $0$ $2.16601$ Character $\chi_{89}(41, \cdot)$
1-89-89.43-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.43 $1$ 0 ✓ ✓ $-0.0654$ $0$ $0.357222$ Character $\chi_{89}(43, \cdot)$
1-89-89.46-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.46 $1$ 0 ✓ ✓ $0.116$ $0$ $1.36074$ Character $\chi_{89}(46, \cdot)$
1-89-89.48-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.48 $1$ 0 ✓ ✓ $0.394$ $0$ $0.752733$ Character $\chi_{89}(48, \cdot)$
1-89-89.51-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.51 $1$ 0 ✓ ✓ $-0.207$ $0$ $0.167291$ Character $\chi_{89}(51, \cdot)$
1-89-89.52-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.52 $1$ 0 ✓ ✓ $-0.391$ $0$ $0.613929$ Character $\chi_{89}(52, \cdot)$
1-89-89.54-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.54 $1$ 0 ✓ ✓ $0.484$ $0$ $2.11670$ Character $\chi_{89}(54, \cdot)$
1-89-89.56-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.56 $1$ 0 ✓ ✓ $0.411$ $0$ $1.19958$ Character $\chi_{89}(56, \cdot)$
1-89-89.58-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.58 $1$ 0 ✓ ✓ $0.454$ $0$ $0.512233$ Character $\chi_{89}(58, \cdot)$
1-89-89.59-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.59 $1$ 0 ✓ ✓ $-0.0179$ $0$ $1.23398$ Character $\chi_{89}(59, \cdot)$
1-89-89.6-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.6 $1$ 0 ✓ ✓ $0.490$ $0$ $2.97915$ Character $\chi_{89}(6, \cdot)$
1-89-89.60-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.60 $1$ 0 ✓ ✓ $-0.116$ $0$ $1.27397$ Character $\chi_{89}(60, \cdot)$
1-89-89.61-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.61 $1$ 0 ✓ ✓ $-0.484$ $0$ $0.524102$ Character $\chi_{89}(61, \cdot)$
1-89-89.62-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.62 $1$ 0 ✓ ✓ $-0.411$ $0$ $0.0246917$ Character $\chi_{89}(62, \cdot)$
1-89-89.63-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.63 $1$ 0 ✓ ✓ $0.152$ $0$ $2.25265$ Character $\chi_{89}(63, \cdot)$
1-89-89.65-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.65 $1$ 0 ✓ ✓ $-0.152$ $0$ $1.57895$ Character $\chi_{89}(65, \cdot)$
1-89-89.66-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.66 $1$ 0 ✓ ✓ $-0.454$ $0$ $2.23887$ Character $\chi_{89}(66, \cdot)$
1-89-89.7-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.7 $1$ 0 ✓ ✓ $0.207$ $0$ $1.89077$ Character $\chi_{89}(7, \cdot)$
1-89-89.70-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.70 $1$ 0 ✓ ✓ $-0.279$ $0$ $0.627551$ Character $\chi_{89}(70, \cdot)$
1-89-89.74-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.74 $1$ 0 ✓ ✓ $-0.258$ $0$ $0.722505$ Character $\chi_{89}(74, \cdot)$
1-89-89.75-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.75 $1$ 0 ✓ ✓ $0.473$ $0$ $0.288278$ Character $\chi_{89}(75, \cdot)$
1-89-89.76-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.76 $1$ 0 ✓ ✓ $-0.332$ $0$ $0.137740$ Character $\chi_{89}(76, \cdot)$
1-89-89.77-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.77 $1$ 0 ✓ ✓ $-0.0604$ $0$ $1.77214$ Character $\chi_{89}(77, \cdot)$
1-89-89.82-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.82 $1$ 0 ✓ ✓ $-0.300$ $0$ $0.424502$ Character $\chi_{89}(82, \cdot)$
1-89-89.83-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.83 $1$ 0 ✓ ✓ $0.258$ $0$ $1.89949$ Character $\chi_{89}(83, \cdot)$
1-89-89.86-r1-0-0 $9.56$ $9.56$ $1$ $89$ 89.86 $1$ 0 ✓ ✓ $0.0179$ $0$ $0.726431$ Character $\chi_{89}(86, \cdot)$
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