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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
1-648-648.101-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.101 $1$ 0 ✓ ✓ $-0.373$ $0$ $1.78251$ Character $\chi_{648}(101, \cdot)$
1-648-648.115-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.115 $1$ 0 ✓ ✓ $-0.123$ $0$ $0.584904$ Character $\chi_{648}(115, \cdot)$
1-648-648.139-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.139 $1$ 0 ✓ ✓ $0.123$ $0$ $1.02267$ Character $\chi_{648}(139, \cdot)$
1-648-648.149-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.149 $1$ 0 ✓ ✓ $0.0401$ $0$ $0.519149$ Character $\chi_{648}(149, \cdot)$
1-648-648.173-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.173 $1$ 0 ✓ ✓ $-0.262$ $0$ $0.481545$ Character $\chi_{648}(173, \cdot)$
1-648-648.187-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.187 $1$ 0 ✓ ✓ $0.209$ $0$ $1.31871$ Character $\chi_{648}(187, \cdot)$
1-648-648.211-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.211 $1$ 0 ✓ ✓ $0.345$ $0$ $1.41384$ Character $\chi_{648}(211, \cdot)$
1-648-648.221-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.221 $1$ 0 ✓ ✓ $0.262$ $0$ $1.31673$ Character $\chi_{648}(221, \cdot)$
1-648-648.245-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.245 $1$ 0 ✓ ✓ $0.293$ $0$ $1.16908$ Character $\chi_{648}(245, \cdot)$
1-648-648.259-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.259 $1$ 0 ✓ ✓ $0.320$ $0$ $1.20553$ Character $\chi_{648}(259, \cdot)$
1-648-648.283-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.283 $1$ 0 ✓ ✓ $0.456$ $0$ $1.34472$ Character $\chi_{648}(283, \cdot)$
1-648-648.29-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.29 $1$ 0 ✓ ✓ $-0.373$ $0$ $0.0544958$ Character $\chi_{648}(29, \cdot)$
1-648-648.293-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.293 $1$ 0 ✓ ✓ $0.373$ $0$ $1.05612$ Character $\chi_{648}(293, \cdot)$
1-648-648.317-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.317 $1$ 0 ✓ ✓ $-0.373$ $0$ $0.609530$ Character $\chi_{648}(317, \cdot)$
1-648-648.331-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.331 $1$ 0 ✓ ✓ $-0.123$ $0$ $0.425614$ Character $\chi_{648}(331, \cdot)$
1-648-648.355-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.355 $1$ 0 ✓ ✓ $0.123$ $0$ $0.904399$ Character $\chi_{648}(355, \cdot)$
1-648-648.365-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.365 $1$ 0 ✓ ✓ $-0.293$ $0$ $0.267995$ Character $\chi_{648}(365, \cdot)$
1-648-648.389-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.389 $1$ 0 ✓ ✓ $0.0709$ $0$ $1.02067$ Character $\chi_{648}(389, \cdot)$
1-648-648.403-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.403 $1$ 0 ✓ ✓ $-0.456$ $0$ $0.196467$ Character $\chi_{648}(403, \cdot)$
1-648-648.427-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.427 $1$ 0 ✓ ✓ $0.0123$ $0$ $0.364720$ Character $\chi_{648}(427, \cdot)$
1-648-648.43-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.43 $1$ 0 ✓ ✓ $-0.345$ $0$ $0.353574$ Character $\chi_{648}(43, \cdot)$
1-648-648.437-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.437 $1$ 0 ✓ ✓ $-0.404$ $0$ $0.230882$ Character $\chi_{648}(437, \cdot)$
1-648-648.461-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.461 $1$ 0 ✓ ✓ $-0.0401$ $0$ $0.552962$ Character $\chi_{648}(461, \cdot)$
1-648-648.475-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.475 $1$ 0 ✓ ✓ $-0.0123$ $0$ $0.320238$ Character $\chi_{648}(475, \cdot)$
1-648-648.499-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.499 $1$ 0 ✓ ✓ $-0.209$ $0$ $0.828285$ Character $\chi_{648}(499, \cdot)$
1-648-648.5-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.5 $1$ 0 ✓ ✓ $-0.0709$ $0$ $0.689256$ Character $\chi_{648}(5, \cdot)$
1-648-648.509-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.509 $1$ 0 ✓ ✓ $0.373$ $0$ $1.47282$ Character $\chi_{648}(509, \cdot)$
1-648-648.533-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.533 $1$ 0 ✓ ✓ $-0.373$ $0$ $0.0331561$ Character $\chi_{648}(533, \cdot)$
1-648-648.547-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.547 $1$ 0 ✓ ✓ $-0.123$ $0$ $0.664265$ Character $\chi_{648}(547, \cdot)$
1-648-648.571-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.571 $1$ 0 ✓ ✓ $0.123$ $0$ $0.797405$ Character $\chi_{648}(571, \cdot)$
1-648-648.581-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.581 $1$ 0 ✓ ✓ $0.373$ $0$ $1.28450$ Character $\chi_{648}(581, \cdot)$
1-648-648.605-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.605 $1$ 0 ✓ ✓ $0.404$ $0$ $1.08847$ Character $\chi_{648}(605, \cdot)$
1-648-648.619-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.619 $1$ 0 ✓ ✓ $-0.123$ $0$ $0.556337$ Character $\chi_{648}(619, \cdot)$
1-648-648.643-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.643 $1$ 0 ✓ ✓ $-0.320$ $0$ $0.346579$ Character $\chi_{648}(643, \cdot)$
1-648-648.67-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.67 $1$ 0 ✓ ✓ $0.123$ $0$ $0.739602$ Character $\chi_{648}(67, \cdot)$
1-648-648.77-r1-0-0 $69.6$ $69.6$ $1$ $2^{3} \cdot 3^{4}$ 648.77 $1$ 0 ✓ ✓ $0.373$ $0$ $0.0673033$ Character $\chi_{648}(77, \cdot)$
  displayed columns for results