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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 (1-50 of 136 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
1-608-608.101-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.101 $0$ 0 ✓ ✓ $-0.193$ $0$ $0.648881$ Character $\chi_{608}(101, \cdot)$
1-608-608.107-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.107 $0$ 0 ✓ ✓ $-0.0676$ $0$ $0.804871$ Character $\chi_{608}(107, \cdot)$
1-608-608.125-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.125 $0$ 0 ✓ ✓ $-0.247$ $0$ $1.02015$ Character $\chi_{608}(125, \cdot)$
1-608-608.147-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.147 $0$ 0 ✓ ✓ $0.404$ $0$ $1.83950$ Character $\chi_{608}(147, \cdot)$
1-608-608.149-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.149 $0$ 0 ✓ ✓ $-0.494$ $0$ $0.229262$ Character $\chi_{608}(149, \cdot)$
1-608-608.155-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.155 $0$ 0 ✓ ✓ $-0.218$ $0$ $0.405186$ Character $\chi_{608}(155, \cdot)$
1-608-608.157-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.157 $0$ 0 ✓ ✓ $0.0305$ $0$ $1.09374$ Character $\chi_{608}(157, \cdot)$
1-608-608.179-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.179 $0$ 0 ✓ ✓ $0.317$ $0$ $1.25308$ Character $\chi_{608}(179, \cdot)$
1-608-608.197-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.197 $0$ 0 ✓ ✓ $0.00262$ $0$ $0.823897$ Character $\chi_{608}(197, \cdot)$
1-608-608.203-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.203 $0$ 0 ✓ ✓ $0.0311$ $0$ $1.36792$ Character $\chi_{608}(203, \cdot)$
1-608-608.211-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.211 $0$ 0 ✓ ✓ $0.465$ $0$ $0.363311$ Character $\chi_{608}(211, \cdot)$
1-608-608.213-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.213 $0$ 0 ✓ ✓ $-0.0305$ $0$ $0.581269$ Character $\chi_{608}(213, \cdot)$
1-608-608.219-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.219 $0$ 0 ✓ ✓ $-0.465$ $0$ $2.28409$ Character $\chi_{608}(219, \cdot)$
1-608-608.227-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.227 $0$ 0 ✓ ✓ $0.468$ $0$ $2.19989$ Character $\chi_{608}(227, \cdot)$
1-608-608.237-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.237 $0$ 0 ✓ ✓ $0.137$ $0$ $1.02317$ Character $\chi_{608}(237, \cdot)$
1-608-608.243-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.243 $0$ 0 ✓ ✓ $0.0329$ $0$ $1.28001$ Character $\chi_{608}(243, \cdot)$
1-608-608.245-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.245 $0$ 0 ✓ ✓ $0.112$ $0$ $1.09451$ Character $\chi_{608}(245, \cdot)$
1-608-608.253-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.253 $0$ 0 ✓ ✓ $0.494$ $0$ $1.84332$ Character $\chi_{608}(253, \cdot)$
1-608-608.259-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.259 $0$ 0 ✓ ✓ $-0.130$ $0$ $0.581390$ Character $\chi_{608}(259, \cdot)$
1-608-608.27-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.27 $0$ 0 ✓ ✓ $-0.119$ $0$ $1.08831$ Character $\chi_{608}(27, \cdot)$
1-608-608.277-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.277 $0$ 0 ✓ ✓ $0.315$ $0$ $1.41444$ Character $\chi_{608}(277, \cdot)$
1-608-608.299-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.299 $0$ 0 ✓ ✓ $0.217$ $0$ $1.37725$ Character $\chi_{608}(299, \cdot)$
1-608-608.3-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.3 $0$ 0 ✓ ✓ $-0.0311$ $0$ $1.29630$ Character $\chi_{608}(3, \cdot)$
1-608-608.301-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.301 $0$ 0 ✓ ✓ $0.193$ $0$ $1.14448$ Character $\chi_{608}(301, \cdot)$
1-608-608.307-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.307 $0$ 0 ✓ ✓ $0.218$ $0$ $0.832754$ Character $\chi_{608}(307, \cdot)$
1-608-608.309-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.309 $0$ 0 ✓ ✓ $-0.406$ $0$ $0.319820$ Character $\chi_{608}(309, \cdot)$
1-608-608.331-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.331 $0$ 0 ✓ ✓ $0.130$ $0$ $0.986235$ Character $\chi_{608}(331, \cdot)$
1-608-608.349-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.349 $0$ 0 ✓ ✓ $-0.315$ $0$ $0.564434$ Character $\chi_{608}(349, \cdot)$
1-608-608.355-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.355 $0$ 0 ✓ ✓ $-0.0313$ $0$ $0.945087$ Character $\chi_{608}(355, \cdot)$
1-608-608.363-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.363 $0$ 0 ✓ ✓ $0.277$ $0$ $1.61256$ Character $\chi_{608}(363, \cdot)$
1-608-608.365-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.365 $0$ 0 ✓ ✓ $-0.343$ $0$ $0.303083$ Character $\chi_{608}(365, \cdot)$
1-608-608.371-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.371 $0$ 0 ✓ ✓ $-0.0275$ $0$ $0.969482$ Character $\chi_{608}(371, \cdot)$
1-608-608.379-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.379 $0$ 0 ✓ ✓ $0.281$ $0$ $1.33406$ Character $\chi_{608}(379, \cdot)$
1-608-608.389-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.389 $0$ 0 ✓ ✓ $0.200$ $0$ $1.50450$ Character $\chi_{608}(389, \cdot)$
1-608-608.395-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.395 $0$ 0 ✓ ✓ $-0.154$ $0$ $0.183751$ Character $\chi_{608}(395, \cdot)$
1-608-608.397-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.397 $0$ 0 ✓ ✓ $-0.200$ $0$ $1.26266$ Character $\chi_{608}(397, \cdot)$
1-608-608.405-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.405 $0$ 0 ✓ ✓ $0.0566$ $0$ $1.69985$ Character $\chi_{608}(405, \cdot)$
1-608-608.411-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.411 $0$ 0 ✓ ✓ $-0.317$ $0$ $0.595323$ Character $\chi_{608}(411, \cdot)$
1-608-608.429-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.429 $0$ 0 ✓ ✓ $0.00262$ $0$ $0.597529$ Character $\chi_{608}(429, \cdot)$
1-608-608.45-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.45 $0$ 0 ✓ ✓ $-0.0651$ $0$ $1.08981$ Character $\chi_{608}(45, \cdot)$
1-608-608.451-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.451 $0$ 0 ✓ ✓ $0.154$ $0$ $1.02516$ Character $\chi_{608}(451, \cdot)$
1-608-608.453-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.453 $0$ 0 ✓ ✓ $0.255$ $0$ $1.12501$ Character $\chi_{608}(453, \cdot)$
1-608-608.459-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.459 $0$ 0 ✓ ✓ $0.0313$ $0$ $1.34858$ Character $\chi_{608}(459, \cdot)$
1-608-608.461-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.461 $0$ 0 ✓ ✓ $0.280$ $0$ $1.81495$ Character $\chi_{608}(461, \cdot)$
1-608-608.483-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.483 $0$ 0 ✓ ✓ $0.0676$ $0$ $1.44732$ Character $\chi_{608}(483, \cdot)$
1-608-608.5-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.5 $0$ 0 ✓ ✓ $0.343$ $0$ $1.79045$ Character $\chi_{608}(5, \cdot)$
1-608-608.501-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.501 $0$ 0 ✓ ✓ $0.247$ $0$ $1.62703$ Character $\chi_{608}(501, \cdot)$
1-608-608.507-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.507 $0$ 0 ✓ ✓ $-0.218$ $0$ $0.249134$ Character $\chi_{608}(507, \cdot)$
1-608-608.51-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.51 $0$ 0 ✓ ✓ $0.218$ $0$ $1.51759$ Character $\chi_{608}(51, \cdot)$
1-608-608.515-r0-0-0 $2.82$ $2.82$ $1$ $2^{5} \cdot 19$ 608.515 $0$ 0 ✓ ✓ $0.215$ $0$ $1.04466$ Character $\chi_{608}(515, \cdot)$
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