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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 (42 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
1-828-828.11-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.11 $1$ 0 ✓ ✓ $-0.456$ $0$ $1.61863$ Character $\chi_{828}(11, \cdot)$
1-828-828.151-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.151 $1$ 0 ✓ ✓ $0.216$ $0$ $1.20467$ Character $\chi_{828}(151, \cdot)$
1-828-828.155-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.155 $1$ 0 ✓ ✓ $-0.173$ $0$ $0.337166$ Character $\chi_{828}(155, \cdot)$
1-828-828.187-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.187 $1$ 0 ✓ ✓ $0.0497$ $0$ $0.914656$ Character $\chi_{828}(187, \cdot)$
1-828-828.191-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.191 $1$ 0 ✓ ✓ $0.00612$ $0$ $0.434181$ Character $\chi_{828}(191, \cdot)$
1-828-828.203-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.203 $1$ 0 ✓ ✓ $0.173$ $0$ $1.06392$ Character $\chi_{828}(203, \cdot)$
1-828-828.211-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.211 $1$ 0 ✓ ✓ $-0.423$ $0$ $0.0271401$ Character $\chi_{828}(211, \cdot)$
1-828-828.223-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.223 $1$ 0 ✓ ✓ $-0.105$ $0$ $0.539296$ Character $\chi_{828}(223, \cdot)$
1-828-828.227-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.227 $1$ 0 ✓ ✓ $-0.260$ $0$ $0.305767$ Character $\chi_{828}(227, \cdot)$
1-828-828.259-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.259 $1$ 0 ✓ ✓ $0.423$ $0$ $1.12869$ Character $\chi_{828}(259, \cdot)$
1-828-828.263-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.263 $1$ 0 ✓ ✓ $-0.395$ $0$ $0.303683$ Character $\chi_{828}(263, \cdot)$
1-828-828.275-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $1$ 0 ✓ ✓ $-0.305$ $0$ $0.376281$ Character $\chi_{828}(275, \cdot)$
1-828-828.31-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.31 $1$ 0 ✓ ✓ $-0.0497$ $0$ $0.779929$ Character $\chi_{828}(31, \cdot)$
1-828-828.331-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.331 $1$ 0 ✓ ✓ $0.392$ $0$ $0.0403538$ Character $\chi_{828}(331, \cdot)$
1-828-828.383-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.383 $1$ 0 ✓ ✓ $0.260$ $0$ $1.05041$ Character $\chi_{828}(383, \cdot)$
1-828-828.403-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.403 $1$ 0 ✓ ✓ $-0.450$ $0$ $1.51472$ Character $\chi_{828}(403, \cdot)$
1-828-828.419-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.419 $1$ 0 ✓ ✓ $0.356$ $0$ $1.09451$ Character $\chi_{828}(419, \cdot)$
1-828-828.427-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.427 $1$ 0 ✓ ✓ $0.105$ $0$ $0.710151$ Character $\chi_{828}(427, \cdot)$
1-828-828.439-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.439 $1$ 0 ✓ ✓ $-0.438$ $0$ $0.157287$ Character $\chi_{828}(439, \cdot)$
1-828-828.463-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.463 $1$ 0 ✓ ✓ $-0.0614$ $0$ $0.383611$ Character $\chi_{828}(463, \cdot)$
1-828-828.479-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.479 $1$ 0 ✓ ✓ $-0.215$ $0$ $0.408436$ Character $\chi_{828}(479, \cdot)$
1-828-828.499-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.499 $1$ 0 ✓ ✓ $-0.216$ $0$ $0.576381$ Character $\chi_{828}(499, \cdot)$
1-828-828.527-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.527 $1$ 0 ✓ ✓ $0.456$ $0$ $0.117301$ Character $\chi_{828}(527, \cdot)$
1-828-828.535-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.535 $1$ 0 ✓ ✓ $0.312$ $0$ $0.940791$ Character $\chi_{828}(535, \cdot)$
1-828-828.547-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.547 $1$ 0 ✓ ✓ $-0.281$ $0$ $0.496923$ Character $\chi_{828}(547, \cdot)$
1-828-828.551-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $1$ 0 ✓ ✓ $0.305$ $0$ $1.00578$ Character $\chi_{828}(551, \cdot)$
1-828-828.563-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.563 $1$ 0 ✓ ✓ $-0.0678$ $0$ $0.449675$ Character $\chi_{828}(563, \cdot)$
1-828-828.583-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.583 $1$ 0 ✓ ✓ $0.0614$ $0$ $0.558361$ Character $\chi_{828}(583, \cdot)$
1-828-828.607-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.607 $1$ 0 ✓ ✓ $0.281$ $0$ $1.16565$ Character $\chi_{828}(607, \cdot)$
1-828-828.635-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.635 $1$ 0 ✓ ✓ $0.0325$ $0$ $1.01959$ Character $\chi_{828}(635, \cdot)$
1-828-828.659-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.659 $1$ 0 ✓ ✓ $-0.128$ $0$ $0.684723$ Character $\chi_{828}(659, \cdot)$
1-828-828.679-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.679 $1$ 0 ✓ ✓ $0.438$ $0$ $1.31128$ Character $\chi_{828}(679, \cdot)$
1-828-828.695-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.695 $1$ 0 ✓ ✓ $-0.0325$ $0$ $1.08761$ Character $\chi_{828}(695, \cdot)$
1-828-828.707-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.707 $1$ 0 ✓ ✓ $0.215$ $0$ $0.971279$ Character $\chi_{828}(707, \cdot)$
1-828-828.715-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.715 $1$ 0 ✓ ✓ $0.450$ $0$ $0.313319$ Character $\chi_{828}(715, \cdot)$
1-828-828.743-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.743 $1$ 0 ✓ ✓ $0.395$ $0$ $1.45419$ Character $\chi_{828}(743, \cdot)$
1-828-828.763-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.763 $1$ 0 ✓ ✓ $-0.312$ $0$ $0.362326$ Character $\chi_{828}(763, \cdot)$
1-828-828.779-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.779 $1$ 0 ✓ ✓ $0.128$ $0$ $0.765038$ Character $\chi_{828}(779, \cdot)$
1-828-828.803-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.803 $1$ 0 ✓ ✓ $0.0678$ $0$ $0.485122$ Character $\chi_{828}(803, \cdot)$
1-828-828.815-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.815 $1$ 0 ✓ ✓ $-0.00612$ $0$ $0.264257$ Character $\chi_{828}(815, \cdot)$
1-828-828.823-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.823 $1$ 0 ✓ ✓ $-0.392$ $0$ $1.63691$ Character $\chi_{828}(823, \cdot)$
1-828-828.83-r1-0-0 $88.9$ $88.9$ $1$ $2^{2} \cdot 3^{2} \cdot 23$ 828.83 $1$ 0 ✓ ✓ $-0.356$ $0$ $0.212067$ Character $\chi_{828}(83, \cdot)$
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