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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
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Results (36 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-1080-1080.1003-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.1003 $0$ 0 ✓ ✓ $-0.0788$ $0$ $0.751626$ Character $\chi_{1080}(1003, \cdot)$
1-1080-1080.1013-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.1013 $0$ 0 ✓ ✓ $-0.162$ $0$ $0.731266$ Character $\chi_{1080}(1013, \cdot)$
1-1080-1080.1019-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.1019 $0$ 0 ✓ ✓ $0.240$ $0$ $1.42810$ Character $\chi_{1080}(1019, \cdot)$
1-1080-1080.1037-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.1037 $0$ 0 ✓ ✓ $-0.171$ $0$ $0.788736$ Character $\chi_{1080}(1037, \cdot)$
1-1080-1080.1069-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.1069 $0$ 0 ✓ ✓ $-0.00925$ $0$ $0.923376$ Character $\chi_{1080}(1069, \cdot)$
1-1080-1080.173-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.173 $0$ 0 ✓ ✓ $-0.347$ $0$ $0.210814$ Character $\chi_{1080}(173, \cdot)$
1-1080-1080.187-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.187 $0$ 0 ✓ ✓ $0.412$ $0$ $1.39640$ Character $\chi_{1080}(187, \cdot)$
1-1080-1080.229-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.229 $0$ 0 ✓ ✓ $-0.324$ $0$ $0.293217$ Character $\chi_{1080}(229, \cdot)$
1-1080-1080.283-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.283 $0$ 0 ✓ ✓ $-0.412$ $0$ $0.0833628$ Character $\chi_{1080}(283, \cdot)$
1-1080-1080.293-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.293 $0$ 0 ✓ ✓ $0.171$ $0$ $0.968598$ Character $\chi_{1080}(293, \cdot)$
1-1080-1080.299-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.299 $0$ 0 ✓ ✓ $-0.425$ $0$ $0.227738$ Character $\chi_{1080}(299, \cdot)$
1-1080-1080.317-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.317 $0$ 0 ✓ ✓ $-0.171$ $0$ $0.449740$ Character $\chi_{1080}(317, \cdot)$
1-1080-1080.349-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.349 $0$ 0 ✓ ✓ $0.324$ $0$ $1.25356$ Character $\chi_{1080}(349, \cdot)$
1-1080-1080.403-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.403 $0$ 0 ✓ ✓ $0.235$ $0$ $1.50138$ Character $\chi_{1080}(403, \cdot)$
1-1080-1080.419-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.419 $0$ 0 ✓ ✓ $0.425$ $0$ $1.72925$ Character $\chi_{1080}(419, \cdot)$
1-1080-1080.427-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.427 $0$ 0 ✓ ✓ $0.0973$ $0$ $1.07282$ Character $\chi_{1080}(427, \cdot)$
1-1080-1080.43-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.43 $0$ 0 ✓ ✓ $-0.0973$ $0$ $0.863269$ Character $\chi_{1080}(43, \cdot)$
1-1080-1080.437-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.437 $0$ 0 ✓ ✓ $0.347$ $0$ $1.38584$ Character $\chi_{1080}(437, \cdot)$
1-1080-1080.533-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.533 $0$ 0 ✓ ✓ $-0.347$ $0$ $0.353986$ Character $\chi_{1080}(533, \cdot)$
1-1080-1080.547-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.547 $0$ 0 ✓ ✓ $0.0788$ $0$ $1.04886$ Character $\chi_{1080}(547, \cdot)$
1-1080-1080.589-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.589 $0$ 0 ✓ ✓ $0.00925$ $0$ $1.00596$ Character $\chi_{1080}(589, \cdot)$
1-1080-1080.59-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.59 $0$ 0 ✓ ✓ $-0.240$ $0$ $0.353206$ Character $\chi_{1080}(59, \cdot)$
1-1080-1080.643-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.643 $0$ 0 ✓ ✓ $-0.0788$ $0$ $0.832542$ Character $\chi_{1080}(643, \cdot)$
1-1080-1080.653-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.653 $0$ 0 ✓ ✓ $0.171$ $0$ $1.32036$ Character $\chi_{1080}(653, \cdot)$
1-1080-1080.659-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.659 $0$ 0 ✓ ✓ $0.240$ $0$ $1.09353$ Character $\chi_{1080}(659, \cdot)$
1-1080-1080.67-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.67 $0$ 0 ✓ ✓ $-0.235$ $0$ $0.695567$ Character $\chi_{1080}(67, \cdot)$
1-1080-1080.677-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.677 $0$ 0 ✓ ✓ $0.162$ $0$ $1.22488$ Character $\chi_{1080}(677, \cdot)$
1-1080-1080.709-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.709 $0$ 0 ✓ ✓ $-0.00925$ $0$ $1.00600$ Character $\chi_{1080}(709, \cdot)$
1-1080-1080.763-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.763 $0$ 0 ✓ ✓ $-0.0973$ $0$ $0.624494$ Character $\chi_{1080}(763, \cdot)$
1-1080-1080.77-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.77 $0$ 0 ✓ ✓ $0.347$ $0$ $1.65223$ Character $\chi_{1080}(77, \cdot)$
1-1080-1080.779-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.779 $0$ 0 ✓ ✓ $-0.240$ $0$ $0.645515$ Character $\chi_{1080}(779, \cdot)$
1-1080-1080.787-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.787 $0$ 0 ✓ ✓ $0.0973$ $0$ $0.918353$ Character $\chi_{1080}(787, \cdot)$
1-1080-1080.797-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.797 $0$ 0 ✓ ✓ $0.0140$ $0$ $0.822359$ Character $\chi_{1080}(797, \cdot)$
1-1080-1080.893-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.893 $0$ 0 ✓ ✓ $-0.0140$ $0$ $0.813532$ Character $\chi_{1080}(893, \cdot)$
1-1080-1080.907-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.907 $0$ 0 ✓ ✓ $0.0788$ $0$ $1.01490$ Character $\chi_{1080}(907, \cdot)$
1-1080-1080.949-r0-0-0 $5.01$ $5.01$ $1$ $2^{3} \cdot 3^{3} \cdot 5$ 1080.949 $0$ 0 ✓ ✓ $0.00925$ $0$ $0.929058$ Character $\chi_{1080}(949, \cdot)$
  displayed columns for results