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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 (40 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
1-448-448.101-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.101 $1$ 0 ✓ ✓ $0.452$ $0$ $0.0899990$ Character $\chi_{448}(101, \cdot)$
1-448-448.107-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.107 $1$ 0 ✓ ✓ $0.317$ $0$ $0.979014$ Character $\chi_{448}(107, \cdot)$
1-448-448.11-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.11 $1$ 0 ✓ ✓ $0.463$ $0$ $1.45223$ Character $\chi_{448}(11, \cdot)$
1-448-448.117-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.117 $1$ 0 ✓ ✓ $-0.0462$ $0$ $0.763926$ Character $\chi_{448}(117, \cdot)$
1-448-448.123-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.123 $1$ 0 ✓ ✓ $0.0888$ $0$ $0.456090$ Character $\chi_{448}(123, \cdot)$
1-448-448.125-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.125 $1$ 0 ✓ ✓ $-0.140$ $0$ $0.697880$ Character $\chi_{448}(125, \cdot)$
1-448-448.13-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.13 $1$ 0 ✓ ✓ $0.234$ $0$ $0.676171$ Character $\chi_{448}(13, \cdot)$
1-448-448.157-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.157 $1$ 0 ✓ ✓ $0.0462$ $0$ $0.553351$ Character $\chi_{448}(157, \cdot)$
1-448-448.163-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.163 $1$ 0 ✓ ✓ $-0.463$ $0$ $0.0687856$ Character $\chi_{448}(163, \cdot)$
1-448-448.173-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.173 $1$ 0 ✓ ✓ $-0.452$ $0$ $1.59431$ Character $\chi_{448}(173, \cdot)$
1-448-448.179-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.179 $1$ 0 ✓ ✓ $0.0576$ $0$ $1.09220$ Character $\chi_{448}(179, \cdot)$
1-448-448.181-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.181 $1$ 0 ✓ ✓ $0.140$ $0$ $0.834721$ Character $\chi_{448}(181, \cdot)$
1-448-448.213-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.213 $1$ 0 ✓ ✓ $0.327$ $0$ $0.217868$ Character $\chi_{448}(213, \cdot)$
1-448-448.219-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.219 $1$ 0 ✓ ✓ $0.442$ $0$ $1.26917$ Character $\chi_{448}(219, \cdot)$
1-448-448.229-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.229 $1$ 0 ✓ ✓ $0.0787$ $0$ $0.898155$ Character $\chi_{448}(229, \cdot)$
1-448-448.235-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.235 $1$ 0 ✓ ✓ $0.463$ $0$ $1.65500$ Character $\chi_{448}(235, \cdot)$
1-448-448.237-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.237 $1$ 0 ✓ ✓ $-0.265$ $0$ $0.769021$ Character $\chi_{448}(237, \cdot)$
1-448-448.269-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.269 $1$ 0 ✓ ✓ $0.421$ $0$ $0.00339904$ Character $\chi_{448}(269, \cdot)$
1-448-448.275-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.275 $1$ 0 ✓ ✓ $0.411$ $0$ $1.70038$ Character $\chi_{448}(275, \cdot)$
1-448-448.285-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.285 $1$ 0 ✓ ✓ $-0.327$ $0$ $0.778808$ Character $\chi_{448}(285, \cdot)$
1-448-448.291-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.291 $1$ 0 ✓ ✓ $-0.317$ $0$ $0.0549947$ Character $\chi_{448}(291, \cdot)$
1-448-448.293-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.293 $1$ 0 ✓ ✓ $0.265$ $0$ $1.29688$ Character $\chi_{448}(293, \cdot)$
1-448-448.325-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.325 $1$ 0 ✓ ✓ $-0.0475$ $0$ $0.647633$ Character $\chi_{448}(325, \cdot)$
1-448-448.331-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.331 $1$ 0 ✓ ✓ $0.317$ $0$ $1.49008$ Character $\chi_{448}(331, \cdot)$
1-448-448.341-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.341 $1$ 0 ✓ ✓ $-0.0462$ $0$ $0.543884$ Character $\chi_{448}(341, \cdot)$
1-448-448.347-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.347 $1$ 0 ✓ ✓ $-0.411$ $0$ $0.511695$ Character $\chi_{448}(347, \cdot)$
1-448-448.349-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.349 $1$ 0 ✓ ✓ $-0.140$ $0$ $0.427495$ Character $\chi_{448}(349, \cdot)$
1-448-448.381-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.381 $1$ 0 ✓ ✓ $0.0462$ $0$ $1.04806$ Character $\chi_{448}(381, \cdot)$
1-448-448.387-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.387 $1$ 0 ✓ ✓ $-0.463$ $0$ $0.186314$ Character $\chi_{448}(387, \cdot)$
1-448-448.397-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.397 $1$ 0 ✓ ✓ $0.0475$ $0$ $0.972862$ Character $\chi_{448}(397, \cdot)$
1-448-448.403-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.403 $1$ 0 ✓ ✓ $-0.442$ $0$ $0.225887$ Character $\chi_{448}(403, \cdot)$
1-448-448.405-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.405 $1$ 0 ✓ ✓ $0.140$ $0$ $1.21634$ Character $\chi_{448}(405, \cdot)$
1-448-448.437-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.437 $1$ 0 ✓ ✓ $0.327$ $0$ $1.64116$ Character $\chi_{448}(437, \cdot)$
1-448-448.443-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.443 $1$ 0 ✓ ✓ $-0.0576$ $0$ $1.00269$ Character $\chi_{448}(443, \cdot)$
1-448-448.45-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.45 $1$ 0 ✓ ✓ $-0.0787$ $0$ $0.468912$ Character $\chi_{448}(45, \cdot)$
1-448-448.5-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.5 $1$ 0 ✓ ✓ $-0.421$ $0$ $2.10278$ Character $\chi_{448}(5, \cdot)$
1-448-448.51-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.51 $1$ 0 ✓ ✓ $-0.0888$ $0$ $0.575246$ Character $\chi_{448}(51, \cdot)$
1-448-448.61-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.61 $1$ 0 ✓ ✓ $-0.327$ $0$ $1.64236$ Character $\chi_{448}(61, \cdot)$
1-448-448.67-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.67 $1$ 0 ✓ ✓ $-0.317$ $0$ $0.495311$ Character $\chi_{448}(67, \cdot)$
1-448-448.69-r1-0-0 $48.1$ $48.1$ $1$ $2^{6} \cdot 7$ 448.69 $1$ 0 ✓ ✓ $-0.234$ $0$ $0.406936$ Character $\chi_{448}(69, \cdot)$
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