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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 (36 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
1-392-392.101-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.101 $1$ 0 ✓ ✓ $-0.372$ $0$ $1.71927$ Character $\chi_{392}(101, \cdot)$
1-392-392.107-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.107 $1$ 0 ✓ ✓ $-0.00680$ $0$ $1.17098$ Character $\chi_{392}(107, \cdot)$
1-392-392.11-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.11 $1$ 0 ✓ ✓ $0.00680$ $0$ $1.20059$ Character $\chi_{392}(11, \cdot)$
1-392-392.123-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.123 $1$ 0 ✓ ✓ $-0.340$ $0$ $0.000717027$ Character $\chi_{392}(123, \cdot)$
1-392-392.125-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.125 $1$ 0 ✓ ✓ $0.454$ $0$ $0.130995$ Character $\chi_{392}(125, \cdot)$
1-392-392.13-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.13 $1$ 0 ✓ ✓ $-0.0765$ $0$ $0.319802$ Character $\chi_{392}(13, \cdot)$
1-392-392.155-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.155 $1$ 0 ✓ ✓ $-0.122$ $0$ $0.701856$ Character $\chi_{392}(155, \cdot)$
1-392-392.157-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.157 $1$ 0 ✓ ✓ $0.372$ $0$ $0.130571$ Character $\chi_{392}(157, \cdot)$
1-392-392.163-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.163 $1$ 0 ✓ ✓ $0.122$ $0$ $0.767136$ Character $\chi_{392}(163, \cdot)$
1-392-392.173-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.173 $1$ 0 ✓ ✓ $-0.212$ $0$ $0.636473$ Character $\chi_{392}(173, \cdot)$
1-392-392.179-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.179 $1$ 0 ✓ ✓ $0.462$ $0$ $1.76916$ Character $\chi_{392}(179, \cdot)$
1-392-392.181-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.181 $1$ 0 ✓ ✓ $0.0765$ $0$ $1.04416$ Character $\chi_{392}(181, \cdot)$
1-392-392.211-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.211 $1$ 0 ✓ ✓ $0.326$ $0$ $1.33601$ Character $\chi_{392}(211, \cdot)$
1-392-392.213-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.213 $1$ 0 ✓ ✓ $0.212$ $0$ $1.34812$ Character $\chi_{392}(213, \cdot)$
1-392-392.219-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.219 $1$ 0 ✓ ✓ $-0.462$ $0$ $0.359652$ Character $\chi_{392}(219, \cdot)$
1-392-392.229-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.229 $1$ 0 ✓ ✓ $0.372$ $0$ $0.0252406$ Character $\chi_{392}(229, \cdot)$
1-392-392.235-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.235 $1$ 0 ✓ ✓ $0.122$ $0$ $1.44674$ Character $\chi_{392}(235, \cdot)$
1-392-392.237-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.237 $1$ 0 ✓ ✓ $-0.372$ $0$ $0.663140$ Character $\chi_{392}(237, \cdot)$
1-392-392.267-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.267 $1$ 0 ✓ ✓ $0.204$ $0$ $1.19447$ Character $\chi_{392}(267, \cdot)$
1-392-392.269-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.269 $1$ 0 ✓ ✓ $0.409$ $0$ $1.27576$ Character $\chi_{392}(269, \cdot)$
1-392-392.285-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.285 $1$ 0 ✓ ✓ $-0.256$ $0$ $0.234702$ Character $\chi_{392}(285, \cdot)$
1-392-392.291-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.291 $1$ 0 ✓ ✓ $-0.122$ $0$ $0.708273$ Character $\chi_{392}(291, \cdot)$
1-392-392.323-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.323 $1$ 0 ✓ ✓ $-0.204$ $0$ $0.481098$ Character $\chi_{392}(323, \cdot)$
1-392-392.331-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.331 $1$ 0 ✓ ✓ $0.129$ $0$ $0.866804$ Character $\chi_{392}(331, \cdot)$
1-392-392.341-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.341 $1$ 0 ✓ ✓ $-0.409$ $0$ $0.271273$ Character $\chi_{392}(341, \cdot)$
1-392-392.347-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.347 $1$ 0 ✓ ✓ $-0.129$ $0$ $0.129651$ Character $\chi_{392}(347, \cdot)$
1-392-392.349-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.349 $1$ 0 ✓ ✓ $0.372$ $0$ $1.65608$ Character $\chi_{392}(349, \cdot)$
1-392-392.379-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.379 $1$ 0 ✓ ✓ $-0.326$ $0$ $0.166143$ Character $\chi_{392}(379, \cdot)$
1-392-392.381-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.381 $1$ 0 ✓ ✓ $0.256$ $0$ $1.29858$ Character $\chi_{392}(381, \cdot)$
1-392-392.387-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.387 $1$ 0 ✓ ✓ $-0.122$ $0$ $0.513826$ Character $\chi_{392}(387, \cdot)$
1-392-392.43-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.43 $1$ 0 ✓ ✓ $0.122$ $0$ $0.921334$ Character $\chi_{392}(43, \cdot)$
1-392-392.45-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.45 $1$ 0 ✓ ✓ $0.120$ $0$ $1.00351$ Character $\chi_{392}(45, \cdot)$
1-392-392.5-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.5 $1$ 0 ✓ ✓ $-0.372$ $0$ $1.81219$ Character $\chi_{392}(5, \cdot)$
1-392-392.51-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.51 $1$ 0 ✓ ✓ $0.340$ $0$ $0.986914$ Character $\chi_{392}(51, \cdot)$
1-392-392.61-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.61 $1$ 0 ✓ ✓ $-0.120$ $0$ $0.896743$ Character $\chi_{392}(61, \cdot)$
1-392-392.69-r1-0-0 $42.1$ $42.1$ $1$ $2^{3} \cdot 7^{2}$ 392.69 $1$ 0 ✓ ✓ $-0.454$ $0$ $1.28656$ Character $\chi_{392}(69, \cdot)$
  displayed columns for results