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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 (32 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
1-288-288.11-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.11 $0$ 0 ✓ ✓ $-0.121$ $0$ $0.709250$ Character $\chi_{288}(11, \cdot)$
1-288-288.13-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.13 $0$ 0 ✓ ✓ $-0.128$ $0$ $0.841082$ Character $\chi_{288}(13, \cdot)$
1-288-288.131-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.131 $0$ 0 ✓ ✓ $0.121$ $0$ $1.23670$ Character $\chi_{288}(131, \cdot)$
1-288-288.133-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.133 $0$ 0 ✓ ✓ $0.128$ $0$ $1.37980$ Character $\chi_{288}(133, \cdot)$
1-288-288.155-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.155 $0$ 0 ✓ ✓ $0.128$ $0$ $1.60228$ Character $\chi_{288}(155, \cdot)$
1-288-288.157-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.157 $0$ 0 ✓ ✓ $0.121$ $0$ $1.80457$ Character $\chi_{288}(157, \cdot)$
1-288-288.203-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.203 $0$ 0 ✓ ✓ $-0.0659$ $0$ $1.20040$ Character $\chi_{288}(203, \cdot)$
1-288-288.205-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.205 $0$ 0 ✓ ✓ $0.315$ $0$ $1.95266$ Character $\chi_{288}(205, \cdot)$
1-288-288.227-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.227 $0$ 0 ✓ ✓ $0.0659$ $0$ $1.39057$ Character $\chi_{288}(227, \cdot)$
1-288-288.229-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.229 $0$ 0 ✓ ✓ $-0.315$ $0$ $0.590099$ Character $\chi_{288}(229, \cdot)$
1-288-288.275-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.275 $0$ 0 ✓ ✓ $-0.128$ $0$ $0.934221$ Character $\chi_{288}(275, \cdot)$
1-288-288.277-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.277 $0$ 0 ✓ ✓ $-0.121$ $0$ $1.13072$ Character $\chi_{288}(277, \cdot)$
1-288-288.59-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.59 $0$ 0 ✓ ✓ $0.184$ $0$ $1.63936$ Character $\chi_{288}(59, \cdot)$
1-288-288.61-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.61 $0$ 0 ✓ ✓ $-0.434$ $0$ $0.241564$ Character $\chi_{288}(61, \cdot)$
1-288-288.83-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.83 $0$ 0 ✓ ✓ $-0.184$ $0$ $0.925770$ Character $\chi_{288}(83, \cdot)$
1-288-288.85-r0-0-0 $1.33$ $1.33$ $1$ $2^{5} \cdot 3^{2}$ 288.85 $0$ 0 ✓ ✓ $0.434$ $0$ $2.05060$ Character $\chi_{288}(85, \cdot)$
1-288-288.101-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.101 $1$ 0 ✓ ✓ $-0.121$ $0$ $0.946230$ Character $\chi_{288}(101, \cdot)$
1-288-288.115-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.115 $1$ 0 ✓ ✓ $-0.434$ $0$ $0.0274306$ Character $\chi_{288}(115, \cdot)$
1-288-288.139-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.139 $1$ 0 ✓ ✓ $0.184$ $0$ $1.25032$ Character $\chi_{288}(139, \cdot)$
1-288-288.149-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.149 $1$ 0 ✓ ✓ $-0.315$ $0$ $0.536102$ Character $\chi_{288}(149, \cdot)$
1-288-288.173-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.173 $1$ 0 ✓ ✓ $0.0659$ $0$ $0.827246$ Character $\chi_{288}(173, \cdot)$
1-288-288.187-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.187 $1$ 0 ✓ ✓ $-0.121$ $0$ $0.405036$ Character $\chi_{288}(187, \cdot)$
1-288-288.211-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.211 $1$ 0 ✓ ✓ $0.121$ $0$ $0.807318$ Character $\chi_{288}(211, \cdot)$
1-288-288.221-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.221 $1$ 0 ✓ ✓ $0.371$ $0$ $1.37124$ Character $\chi_{288}(221, \cdot)$
1-288-288.245-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.245 $1$ 0 ✓ ✓ $-0.371$ $0$ $0.193231$ Character $\chi_{288}(245, \cdot)$
1-288-288.259-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.259 $1$ 0 ✓ ✓ $-0.184$ $0$ $0.814330$ Character $\chi_{288}(259, \cdot)$
1-288-288.283-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.283 $1$ 0 ✓ ✓ $0.434$ $0$ $1.63068$ Character $\chi_{288}(283, \cdot)$
1-288-288.29-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.29 $1$ 0 ✓ ✓ $0.315$ $0$ $1.43944$ Character $\chi_{288}(29, \cdot)$
1-288-288.43-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.43 $1$ 0 ✓ ✓ $-0.371$ $0$ $0.215705$ Character $\chi_{288}(43, \cdot)$
1-288-288.5-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.5 $1$ 0 ✓ ✓ $-0.0659$ $0$ $0.525113$ Character $\chi_{288}(5, \cdot)$
1-288-288.67-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.67 $1$ 0 ✓ ✓ $0.371$ $0$ $1.51477$ Character $\chi_{288}(67, \cdot)$
1-288-288.77-r1-0-0 $30.9$ $30.9$ $1$ $2^{5} \cdot 3^{2}$ 288.77 $1$ 0 ✓ ✓ $0.121$ $0$ $1.35759$ Character $\chi_{288}(77, \cdot)$
  displayed columns for results