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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 (1-50 of 87 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
1-155-155.108-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.108 $0$ 0 ✓ ✓ $-0.0344$ $0$ $1.51362$ Character $\chi_{155}(108, \cdot)$
1-155-155.109-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.109 $0$ 0 ✓ ✓ $-0.0976$ $0$ $0.816261$ Character $\chi_{155}(109, \cdot)$
1-155-155.117-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.117 $0$ 0 ✓ ✓ $0.229$ $0$ $2.06046$ Character $\chi_{155}(117, \cdot)$
1-155-155.12-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.12 $0$ 0 ✓ ✓ $-0.0170$ $0$ $0.829549$ Character $\chi_{155}(12, \cdot)$
1-155-155.122-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.122 $0$ 0 ✓ ✓ $0.0344$ $0$ $1.34366$ Character $\chi_{155}(122, \cdot)$
1-155-155.123-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.123 $0$ 0 ✓ ✓ $0.411$ $0$ $0.586970$ Character $\chi_{155}(123, \cdot)$
1-155-155.127-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.127 $0$ 0 ✓ ✓ $-0.0123$ $0$ $1.89028$ Character $\chi_{155}(127, \cdot)$
1-155-155.129-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.129 $0$ 0 ✓ ✓ $0.269$ $0$ $1.97856$ Character $\chi_{155}(129, \cdot)$
1-155-155.13-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.13 $0$ 0 ✓ ✓ $0.0170$ $0$ $1.35928$ Character $\chi_{155}(13, \cdot)$
1-155-155.134-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.134 $0$ 0 ✓ ✓ $-0.333$ $0$ $0.974714$ Character $\chi_{155}(134, \cdot)$
1-155-155.137-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.137 $0$ 0 ✓ ✓ $0.193$ $0$ $2.61976$ Character $\chi_{155}(137, \cdot)$
1-155-155.14-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.14 $0$ 0 ✓ ✓ $0.313$ $0$ $2.55346$ Character $\chi_{155}(14, \cdot)$
1-155-155.144-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.144 $0$ 0 ✓ ✓ $-0.313$ $0$ $1.45046$ Character $\chi_{155}(144, \cdot)$
1-155-155.147-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.147 $0$ 0 ✓ ✓ $0.429$ $0$ $0.500579$ Character $\chi_{155}(147, \cdot)$
1-155-155.148-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.148 $0$ 0 ✓ ✓ $0.0530$ $0$ $1.39226$ Character $\chi_{155}(148, \cdot)$
1-155-155.149-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.149 $0$ 0 ✓ ✓ $-0.269$ $0$ $0.946763$ Character $\chi_{155}(149, \cdot)$
1-155-155.153-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.153 $0$ 0 ✓ ✓ $-0.141$ $0$ $1.39088$ Character $\chi_{155}(153, \cdot)$
1-155-155.17-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.17 $0$ 0 ✓ ✓ $-0.258$ $0$ $1.50419$ Character $\chi_{155}(17, \cdot)$
1-155-155.19-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.19 $0$ 0 ✓ ✓ $-0.108$ $0$ $1.35397$ Character $\chi_{155}(19, \cdot)$
1-155-155.22-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.22 $0$ 0 ✓ ✓ $-0.0530$ $0$ $1.52896$ Character $\chi_{155}(22, \cdot)$
1-155-155.23-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.23 $0$ 0 ✓ ✓ $0.246$ $0$ $1.64811$ Character $\chi_{155}(23, \cdot)$
1-155-155.27-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.27 $0$ 0 ✓ ✓ $-0.246$ $0$ $1.28322$ Character $\chi_{155}(27, \cdot)$
1-155-155.3-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.3 $0$ 0 ✓ ✓ $-0.188$ $0$ $0.594858$ Character $\chi_{155}(3, \cdot)$
1-155-155.37-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.37 $0$ 0 ✓ ✓ $0.127$ $0$ $1.05323$ Character $\chi_{155}(37, \cdot)$
1-155-155.39-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.39 $0$ 0 ✓ ✓ $0.0560$ $0$ $1.88319$ Character $\chi_{155}(39, \cdot)$
1-155-155.4-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.4 $0$ 0 ✓ ✓ $-0.0560$ $0$ $1.97056$ Character $\chi_{155}(4, \cdot)$
1-155-155.42-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.42 $0$ 0 ✓ ✓ $0.434$ $0$ $0.221940$ Character $\chi_{155}(42, \cdot)$
1-155-155.43-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.43 $0$ 0 ✓ ✓ $-0.193$ $0$ $1.61723$ Character $\chi_{155}(43, \cdot)$
1-155-155.48-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.48 $0$ 0 ✓ ✓ $-0.434$ $0$ $1.94997$ Character $\chi_{155}(48, \cdot)$
1-155-155.49-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.49 $0$ 0 ✓ ✓ $0.108$ $0$ $0.898250$ Character $\chi_{155}(49, \cdot)$
1-155-155.52-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.52 $0$ 0 ✓ ✓ $0.188$ $0$ $1.60793$ Character $\chi_{155}(52, \cdot)$
1-155-155.53-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.53 $0$ 0 ✓ ✓ $-0.229$ $0$ $0.680276$ Character $\chi_{155}(53, \cdot)$
1-155-155.57-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.57 $0$ 0 ✓ ✓ $0.0491$ $0$ $1.35366$ Character $\chi_{155}(57, \cdot)$
1-155-155.58-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.58 $0$ 0 ✓ ✓ $-0.429$ $0$ $2.96497$ Character $\chi_{155}(58, \cdot)$
1-155-155.59-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.59 $0$ 0 ✓ ✓ $0.333$ $0$ $2.02280$ Character $\chi_{155}(59, \cdot)$
1-155-155.64-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.64 $0$ 0 ✓ ✓ $0.0976$ $0$ $1.59446$ Character $\chi_{155}(64, \cdot)$
1-155-155.68-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.68 $0$ 0 ✓ ✓ $-0.0491$ $0$ $1.89175$ Character $\chi_{155}(68, \cdot)$
1-155-155.69-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.69 $0$ 0 ✓ ✓ $-0.332$ $0$ $0.745654$ Character $\chi_{155}(69, \cdot)$
1-155-155.73-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.73 $0$ 0 ✓ ✓ $0.258$ $0$ $2.47923$ Character $\chi_{155}(73, \cdot)$
1-155-155.77-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.77 $0$ 0 ✓ ✓ $0.141$ $0$ $1.77152$ Character $\chi_{155}(77, \cdot)$
1-155-155.83-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.83 $0$ 0 ✓ ✓ $0.0123$ $0$ $1.88511$ Character $\chi_{155}(83, \cdot)$
1-155-155.88-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.88 $0$ 0 ✓ ✓ $-0.127$ $0$ $1.03026$ Character $\chi_{155}(88, \cdot)$
1-155-155.9-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.9 $0$ 0 ✓ ✓ $0.332$ $0$ $2.21374$ Character $\chi_{155}(9, \cdot)$
1-155-155.92-r0-0-0 $0.719$ $0.719$ $1$ $5 \cdot 31$ 155.92 $0$ 0 ✓ ✓ $-0.411$ $0$ $2.74404$ Character $\chi_{155}(92, \cdot)$
1-155-155.102-r1-0-0 $16.6$ $16.6$ $1$ $5 \cdot 31$ 155.102 $1$ 0 ✓ ✓ $0.421$ $0$ $0.499974$ Character $\chi_{155}(102, \cdot)$
1-155-155.103-r1-0-0 $16.6$ $16.6$ $1$ $5 \cdot 31$ 155.103 $1$ 0 ✓ ✓ $-0.421$ $0$ $0.773246$ Character $\chi_{155}(103, \cdot)$
1-155-155.104-r1-0-0 $16.6$ $16.6$ $1$ $5 \cdot 31$ 155.104 $1$ 0 ✓ ✓ $-0.153$ $0$ $0.975516$ Character $\chi_{155}(104, \cdot)$
1-155-155.107-r1-0-0 $16.6$ $16.6$ $1$ $5 \cdot 31$ 155.107 $1$ 0 ✓ ✓ $0.401$ $0$ $0.333993$ Character $\chi_{155}(107, \cdot)$
1-155-155.112-r1-0-0 $16.6$ $16.6$ $1$ $5 \cdot 31$ 155.112 $1$ 0 ✓ ✓ $-0.0200$ $0$ $1.25361$ Character $\chi_{155}(112, \cdot)$
1-155-155.113-r1-0-0 $16.6$ $16.6$ $1$ $5 \cdot 31$ 155.113 $1$ 0 ✓ ✓ $-0.401$ $0$ $2.08738$ Character $\chi_{155}(113, \cdot)$
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