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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 (33 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-520-520.109-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.109 $1$ 0 ✓ ✓ $-0.203$ $0$ $0.704954$ Character $\chi_{520}(109, \cdot)$
1-520-520.123-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.123 $1$ 0 ✓ ✓ $-0.344$ $0$ $0.598352$ Character $\chi_{520}(123, \cdot)$
1-520-520.133-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.133 $1$ 0 ✓ ✓ $-0.378$ $0$ $0.0409787$ Character $\chi_{520}(133, \cdot)$
1-520-520.139-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.139 $1$ 0 ✓ ✓ $-0.209$ $0$ $0.171565$ Character $\chi_{520}(139, \cdot)$
1-520-520.149-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.149 $1$ 0 ✓ ✓ $-0.256$ $0$ $0.399078$ Character $\chi_{520}(149, \cdot)$
1-520-520.163-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.163 $1$ 0 ✓ ✓ $-0.249$ $0$ $0.467062$ Character $\chi_{520}(163, \cdot)$
1-520-520.173-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.173 $1$ 0 ✓ ✓ $0.497$ $0$ $0.0642512$ Character $\chi_{520}(173, \cdot)$
1-520-520.179-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.179 $1$ 0 ✓ ✓ $-0.0853$ $0$ $0.938210$ Character $\chi_{520}(179, \cdot)$
1-520-520.187-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.187 $1$ 0 ✓ ✓ $-0.115$ $0$ $0.833651$ Character $\chi_{520}(187, \cdot)$
1-520-520.189-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.189 $1$ 0 ✓ ✓ $-0.162$ $0$ $0.609044$ Character $\chi_{520}(189, \cdot)$
1-520-520.203-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.203 $1$ 0 ✓ ✓ $0.115$ $0$ $0.815234$ Character $\chi_{520}(203, \cdot)$
1-520-520.227-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.227 $1$ 0 ✓ ✓ $-0.168$ $0$ $0.274160$ Character $\chi_{520}(227, \cdot)$
1-520-520.229-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.229 $1$ 0 ✓ ✓ $0.203$ $0$ $1.35631$ Character $\chi_{520}(229, \cdot)$
1-520-520.237-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.237 $1$ 0 ✓ ✓ $-0.202$ $0$ $0.699970$ Character $\chi_{520}(237, \cdot)$
1-520-520.259-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.259 $1$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $0.384641$ Character $\chi_{520}(259, \cdot)$
1-520-520.267-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.267 $1$ 0 ✓ ✓ $-0.0744$ $0$ $0.522621$ Character $\chi_{520}(267, \cdot)$
1-520-520.277-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.277 $1$ 0 ✓ ✓ $-0.326$ $0$ $0.490993$ Character $\chi_{520}(277, \cdot)$
1-520-520.307-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.307 $1$ 0 ✓ ✓ $0.291$ $0$ $0.0941588$ Character $\chi_{520}(307, \cdot)$
1-520-520.323-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.323 $1$ 0 ✓ ✓ $0.168$ $0$ $0.907444$ Character $\chi_{520}(323, \cdot)$
1-520-520.349-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.349 $1$ 0 ✓ ✓ $0.256$ $0$ $0.881400$ Character $\chi_{520}(349, \cdot)$
1-520-520.373-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.373 $1$ 0 ✓ ✓ $0.202$ $0$ $0.984030$ Character $\chi_{520}(373, \cdot)$
1-520-520.413-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.413 $1$ 0 ✓ ✓ $0.326$ $0$ $1.54323$ Character $\chi_{520}(413, \cdot)$
1-520-520.419-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.419 $1$ 0 ✓ ✓ $0.209$ $0$ $1.15099$ Character $\chi_{520}(419, \cdot)$
1-520-520.427-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.427 $1$ 0 ✓ ✓ $0.344$ $0$ $1.64421$ Character $\chi_{520}(427, \cdot)$
1-520-520.459-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.459 $1$ 0 ✓ ✓ $0.0853$ $0$ $0.892873$ Character $\chi_{520}(459, \cdot)$
1-520-520.477-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.477 $1$ 0 ✓ ✓ $0.378$ $0$ $1.46595$ Character $\chi_{520}(477, \cdot)$
1-520-520.483-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.483 $1$ 0 ✓ ✓ $0.0744$ $0$ $0.804181$ Character $\chi_{520}(483, \cdot)$
1-520-520.493-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.493 $1$ 0 ✓ ✓ $0.411$ $0$ $0.0173523$ Character $\chi_{520}(493, \cdot)$
1-520-520.509-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.509 $1$ 0 ✓ ✓ $0.162$ $0$ $0.681927$ Character $\chi_{520}(509, \cdot)$
1-520-520.517-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.517 $1$ 0 ✓ ✓ $0.497$ $0$ $1.33880$ Character $\chi_{520}(517, \cdot)$
1-520-520.67-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.67 $1$ 0 ✓ ✓ $0.249$ $0$ $1.16075$ Character $\chi_{520}(67, \cdot)$
1-520-520.77-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.77 $1$ 0 ✓ ✓ $-0.411$ $0$ $1.48378$ Character $\chi_{520}(77, \cdot)$
1-520-520.83-r1-0-0 $55.8$ $55.8$ $1$ $2^{3} \cdot 5 \cdot 13$ 520.83 $1$ 0 ✓ ✓ $-0.291$ $0$ $1.81508$ Character $\chi_{520}(83, \cdot)$
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