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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 (34 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
1-152-152.101-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.101 $0$ 0 ✓ ✓ $-0.280$ $0$ $0.835957$ Character $\chi_{152}(101, \cdot)$
1-152-152.107-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.107 $0$ 0 ✓ ✓ $-0.265$ $0$ $1.06790$ Character $\chi_{152}(107, \cdot)$
1-152-152.125-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.125 $0$ 0 ✓ ✓ $0.200$ $0$ $2.20318$ Character $\chi_{152}(125, \cdot)$
1-152-152.147-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.147 $0$ 0 ✓ ✓ $-0.0919$ $0$ $1.34125$ Character $\chi_{152}(147, \cdot)$
1-152-152.149-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.149 $0$ 0 ✓ ✓ $0.280$ $0$ $1.97495$ Character $\chi_{152}(149, \cdot)$
1-152-152.27-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.27 $0$ 0 ✓ ✓ $0.265$ $0$ $2.35764$ Character $\chi_{152}(27, \cdot)$
1-152-152.3-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.3 $0$ 0 ✓ ✓ $0.0556$ $0$ $1.35826$ Character $\chi_{152}(3, \cdot)$
1-152-152.45-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.45 $0$ 0 ✓ ✓ $-0.200$ $0$ $1.37602$ Character $\chi_{152}(45, \cdot)$
1-152-152.5-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.5 $0$ 0 ✓ ✓ $0.0339$ $0$ $1.69084$ Character $\chi_{152}(5, \cdot)$
1-152-152.51-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.51 $0$ 0 ✓ ✓ $-0.0556$ $0$ $1.39384$ Character $\chi_{152}(51, \cdot)$
1-152-152.59-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.59 $0$ 0 ✓ ✓ $-0.364$ $0$ $0.592353$ Character $\chi_{152}(59, \cdot)$
1-152-152.61-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.61 $0$ 0 ✓ ✓ $-0.0339$ $0$ $1.53281$ Character $\chi_{152}(61, \cdot)$
1-152-152.67-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.67 $0$ 0 ✓ ✓ $0.364$ $0$ $2.16428$ Character $\chi_{152}(67, \cdot)$
1-152-152.75-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.75 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $0.982619$ Character $\chi_{152}(75, \cdot)$
1-152-152.85-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.85 $0$ 0 ✓ ✓ $-0.219$ $0$ $0.534731$ Character $\chi_{152}(85, \cdot)$
1-152-152.91-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.91 $0$ 0 ✓ ✓ $0.0919$ $0$ $2.11777$ Character $\chi_{152}(91, \cdot)$
1-152-152.93-r0-0-0 $0.705$ $0.705$ $1$ $2^{3} \cdot 19$ 152.93 $0$ 0 ✓ ✓ $0.219$ $0$ $1.91681$ Character $\chi_{152}(93, \cdot)$
1-152-152.109-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.109 $1$ 0 ✓ ✓ $-0.0919$ $0$ $0.718949$ Character $\chi_{152}(109, \cdot)$
1-152-152.11-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.11 $1$ 0 ✓ ✓ $-0.299$ $0$ $0.473583$ Character $\chi_{152}(11, \cdot)$
1-152-152.117-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.117 $1$ 0 ✓ ✓ $0.0556$ $0$ $1.61630$ Character $\chi_{152}(117, \cdot)$
1-152-152.123-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.123 $1$ 0 ✓ ✓ $0.280$ $0$ $1.55105$ Character $\chi_{152}(123, \cdot)$
1-152-152.13-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.13 $1$ 0 ✓ ✓ $-0.0556$ $0$ $1.05925$ Character $\chi_{152}(13, \cdot)$
1-152-152.131-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.131 $1$ 0 ✓ ✓ $-0.280$ $0$ $0.137122$ Character $\chi_{152}(131, \cdot)$
1-152-152.139-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.139 $1$ 0 ✓ ✓ $0.219$ $0$ $1.89702$ Character $\chi_{152}(139, \cdot)$
1-152-152.141-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.141 $1$ 0 ✓ ✓ $0.265$ $0$ $1.66345$ Character $\chi_{152}(141, \cdot)$
1-152-152.21-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.21 $1$ 0 ✓ ✓ $-0.364$ $0$ $2.57720$ Character $\chi_{152}(21, \cdot)$
1-152-152.29-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.29 $1$ 0 ✓ ✓ $0.364$ $0$ $0.203111$ Character $\chi_{152}(29, \cdot)$
1-152-152.35-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.35 $1$ 0 ✓ ✓ $-0.219$ $0$ $0.976449$ Character $\chi_{152}(35, \cdot)$
1-152-152.37-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.37 $1$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.19113$ Character $\chi_{152}(37, \cdot)$
1-152-152.43-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.43 $1$ 0 ✓ ✓ $-0.466$ $0$ $0.439863$ Character $\chi_{152}(43, \cdot)$
1-152-152.53-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.53 $1$ 0 ✓ ✓ $0.0919$ $0$ $0.826905$ Character $\chi_{152}(53, \cdot)$
1-152-152.69-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.69 $1$ 0 ✓ ✓ $-0.265$ $0$ $0.382659$ Character $\chi_{152}(69, \cdot)$
1-152-152.83-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.83 $1$ 0 ✓ ✓ $0.299$ $0$ $1.36509$ Character $\chi_{152}(83, \cdot)$
1-152-152.99-r1-0-0 $16.3$ $16.3$ $1$ $2^{3} \cdot 19$ 152.99 $1$ 0 ✓ ✓ $0.466$ $0$ $1.81089$ Character $\chi_{152}(99, \cdot)$
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