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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 (45 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
1-680-680.123-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.123 $0$ 0 ✓ ✓ $0.0174$ $0$ $1.13990$ Character $\chi_{680}(123, \cdot)$
1-680-680.133-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.133 $0$ 0 ✓ ✓ $0.0771$ $0$ $0.919715$ Character $\chi_{680}(133, \cdot)$
1-680-680.139-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.139 $0$ 0 ✓ ✓ $-0.157$ $0$ $0.632543$ Character $\chi_{680}(139, \cdot)$
1-680-680.149-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.149 $0$ 0 ✓ ✓ $0.394$ $0$ $1.64530$ Character $\chi_{680}(149, \cdot)$
1-680-680.173-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.173 $0$ 0 ✓ ✓ $-0.245$ $0$ $0.768351$ Character $\chi_{680}(173, \cdot)$
1-680-680.189-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.189 $0$ 0 ✓ ✓ $-0.257$ $0$ $0.717243$ Character $\chi_{680}(189, \cdot)$
1-680-680.197-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.197 $0$ 0 ✓ ✓ $-0.0751$ $0$ $0.601271$ Character $\chi_{680}(197, \cdot)$
1-680-680.203-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.203 $0$ 0 ✓ ✓ $0.411$ $0$ $0.220253$ Character $\chi_{680}(203, \cdot)$
1-680-680.229-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.229 $0$ 0 ✓ ✓ $-0.362$ $0$ $0.310294$ Character $\chi_{680}(229, \cdot)$
1-680-680.277-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.277 $0$ 0 ✓ ✓ $0.311$ $0$ $1.15861$ Character $\chi_{680}(277, \cdot)$
1-680-680.299-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.299 $0$ 0 ✓ ✓ $-0.163$ $0$ $0.815513$ Character $\chi_{680}(299, \cdot)$
1-680-680.317-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.317 $0$ 0 ✓ ✓ $-0.0771$ $0$ $1.01521$ Character $\chi_{680}(317, \cdot)$
1-680-680.333-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.333 $0$ 0 ✓ ✓ $-0.248$ $0$ $0.821503$ Character $\chi_{680}(333, \cdot)$
1-680-680.349-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.349 $0$ 0 ✓ ✓ $0.257$ $0$ $1.58211$ Character $\chi_{680}(349, \cdot)$
1-680-680.37-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.37 $0$ 0 ✓ ✓ $-0.0697$ $0$ $0.675410$ Character $\chi_{680}(37, \cdot)$
1-680-680.379-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.379 $0$ 0 ✓ ✓ $0.223$ $0$ $1.53494$ Character $\chi_{680}(379, \cdot)$
1-680-680.387-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.387 $0$ 0 ✓ ✓ $-0.0174$ $0$ $1.07554$ Character $\chi_{680}(387, \cdot)$
1-680-680.389-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.389 $0$ 0 ✓ ✓ $0.362$ $0$ $1.22768$ Character $\chi_{680}(389, \cdot)$
1-680-680.397-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.397 $0$ 0 ✓ ✓ $0.245$ $0$ $1.32304$ Character $\chi_{680}(397, \cdot)$
1-680-680.413-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.413 $0$ 0 ✓ ✓ $0.135$ $0$ $1.43424$ Character $\chi_{680}(413, \cdot)$
1-680-680.419-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.419 $0$ 0 ✓ ✓ $-0.165$ $0$ $1.06187$ Character $\chi_{680}(419, \cdot)$
1-680-680.427-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.427 $0$ 0 ✓ ✓ $0.330$ $0$ $1.40632$ Character $\chi_{680}(427, \cdot)$
1-680-680.429-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.429 $0$ 0 ✓ ✓ $-0.394$ $0$ $0.648357$ Character $\chi_{680}(429, \cdot)$
1-680-680.43-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.43 $0$ 0 ✓ ✓ $-0.330$ $0$ $0.189622$ Character $\chi_{680}(43, \cdot)$
1-680-680.437-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.437 $0$ 0 ✓ ✓ $0.248$ $0$ $1.82049$ Character $\chi_{680}(437, \cdot)$
1-680-680.453-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.453 $0$ 0 ✓ ✓ $-0.246$ $0$ $0.222063$ Character $\chi_{680}(453, \cdot)$
1-680-680.467-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.467 $0$ 0 ✓ ✓ $0.225$ $0$ $0.968885$ Character $\chi_{680}(467, \cdot)$
1-680-680.499-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.499 $0$ 0 ✓ ✓ $0.157$ $0$ $0.915211$ Character $\chi_{680}(499, \cdot)$
1-680-680.509-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.509 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.03073$ Character $\chi_{680}(509, \cdot)$
1-680-680.517-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.517 $0$ 0 ✓ ✓ $-0.135$ $0$ $1.07220$ Character $\chi_{680}(517, \cdot)$
1-680-680.523-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.523 $0$ 0 ✓ ✓ $-0.193$ $0$ $0.646802$ Character $\chi_{680}(523, \cdot)$
1-680-680.533-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.533 $0$ 0 ✓ ✓ $0.0697$ $0$ $1.34357$ Character $\chi_{680}(533, \cdot)$
1-680-680.539-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.539 $0$ 0 ✓ ✓ $0.163$ $0$ $1.06972$ Character $\chi_{680}(539, \cdot)$
1-680-680.563-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.563 $0$ 0 ✓ ✓ $0.154$ $0$ $1.42958$ Character $\chi_{680}(563, \cdot)$
1-680-680.573-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.573 $0$ 0 ✓ ✓ $0.0751$ $0$ $1.04642$ Character $\chi_{680}(573, \cdot)$
1-680-680.587-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.587 $0$ 0 ✓ ✓ $-0.154$ $0$ $1.04477$ Character $\chi_{680}(587, \cdot)$
1-680-680.603-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.603 $0$ 0 ✓ ✓ $0.0489$ $0$ $1.45768$ Character $\chi_{680}(603, \cdot)$
1-680-680.619-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.619 $0$ 0 ✓ ✓ $-0.223$ $0$ $0.347189$ Character $\chi_{680}(619, \cdot)$
1-680-680.627-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.627 $0$ 0 ✓ ✓ $-0.0489$ $0$ $0.894230$ Character $\chi_{680}(627, \cdot)$
1-680-680.653-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.653 $0$ 0 ✓ ✓ $-0.311$ $0$ $0.0767497$ Character $\chi_{680}(653, \cdot)$
1-680-680.667-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.667 $0$ 0 ✓ ✓ $0.193$ $0$ $1.29778$ Character $\chi_{680}(667, \cdot)$
1-680-680.67-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.67 $0$ 0 ✓ ✓ $-0.411$ $0$ $2.09289$ Character $\chi_{680}(67, \cdot)$
1-680-680.677-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.677 $0$ 0 ✓ ✓ $0.246$ $0$ $1.41695$ Character $\chi_{680}(677, \cdot)$
1-680-680.83-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.83 $0$ 0 ✓ ✓ $-0.225$ $0$ $0.478274$ Character $\chi_{680}(83, \cdot)$
1-680-680.99-r0-0-0 $3.15$ $3.15$ $1$ $2^{3} \cdot 5 \cdot 17$ 680.99 $0$ 0 ✓ ✓ $0.165$ $0$ $1.58245$ Character $\chi_{680}(99, \cdot)$
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