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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
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Results (22 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
1-1020-1020.1007-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.1007 $1$ 0 ✓ ✓ $-0.0563$ $0$ $0.656854$ Character $\chi_{1020}(1007, \cdot)$
1-1020-1020.203-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.203 $1$ 0 ✓ ✓ $0.411$ $0$ $1.09416$ Character $\chi_{1020}(203, \cdot)$
1-1020-1020.263-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.263 $1$ 0 ✓ ✓ $0.423$ $0$ $1.22434$ Character $\chi_{1020}(263, \cdot)$
1-1020-1020.287-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.287 $1$ 0 ✓ ✓ $-0.423$ $0$ $0.157248$ Character $\chi_{1020}(287, \cdot)$
1-1020-1020.299-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.299 $1$ 0 ✓ ✓ $0.399$ $0$ $1.42267$ Character $\chi_{1020}(299, \cdot)$
1-1020-1020.383-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.383 $1$ 0 ✓ ✓ $-0.455$ $0$ $0.287765$ Character $\chi_{1020}(383, \cdot)$
1-1020-1020.407-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.407 $1$ 0 ✓ ✓ $-0.411$ $0$ $0.0272206$ Character $\chi_{1020}(407, \cdot)$
1-1020-1020.419-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.419 $1$ 0 ✓ ✓ $0.147$ $0$ $0.999307$ Character $\chi_{1020}(419, \cdot)$
1-1020-1020.467-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.467 $1$ 0 ✓ ✓ $-0.399$ $0$ $0.0935033$ Character $\chi_{1020}(467, \cdot)$
1-1020-1020.47-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.47 $1$ 0 ✓ ✓ $0.232$ $0$ $0.728264$ Character $\chi_{1020}(47, \cdot)$
1-1020-1020.479-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.479 $1$ 0 ✓ ✓ $0.0296$ $0$ $0.590986$ Character $\chi_{1020}(479, \cdot)$
1-1020-1020.539-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.539 $1$ 0 ✓ ✓ $-0.399$ $0$ $0.340631$ Character $\chi_{1020}(539, \cdot)$
1-1020-1020.563-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.563 $1$ 0 ✓ ✓ $0.279$ $0$ $1.17130$ Character $\chi_{1020}(563, \cdot)$
1-1020-1020.587-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.587 $1$ 0 ✓ ✓ $-0.279$ $0$ $0.295302$ Character $\chi_{1020}(587, \cdot)$
1-1020-1020.719-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.719 $1$ 0 ✓ ✓ $0.161$ $0$ $0.776516$ Character $\chi_{1020}(719, \cdot)$
1-1020-1020.767-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.767 $1$ 0 ✓ ✓ $0.455$ $0$ $1.33903$ Character $\chi_{1020}(767, \cdot)$
1-1020-1020.779-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.779 $1$ 0 ✓ ✓ $-0.147$ $0$ $0.502903$ Character $\chi_{1020}(779, \cdot)$
1-1020-1020.803-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.803 $1$ 0 ✓ ✓ $-0.232$ $0$ $0.149067$ Character $\chi_{1020}(803, \cdot)$
1-1020-1020.83-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.83 $1$ 0 ✓ ✓ $0.399$ $0$ $0.998435$ Character $\chi_{1020}(83, \cdot)$
1-1020-1020.839-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.839 $1$ 0 ✓ ✓ $-0.0296$ $0$ $0.426638$ Character $\chi_{1020}(839, \cdot)$
1-1020-1020.863-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.863 $1$ 0 ✓ ✓ $0.0563$ $0$ $0.838511$ Character $\chi_{1020}(863, \cdot)$
1-1020-1020.959-r1-0-0 $109.$ $109.$ $1$ $2^{2} \cdot 3 \cdot 5 \cdot 17$ 1020.959 $1$ 0 ✓ ✓ $-0.161$ $0$ $0.443168$ Character $\chi_{1020}(959, \cdot)$
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