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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 100 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
1-968-968.107-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.107 $0$ 0 ✓ ✓ $0.391$ $0$ $1.25049$ Character $\chi_{968}(107, \cdot)$
1-968-968.123-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.123 $0$ 0 ✓ ✓ $0.302$ $0$ $1.46046$ Character $\chi_{968}(123, \cdot)$
1-968-968.125-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.125 $0$ 0 ✓ ✓ $0.123$ $0$ $1.43818$ Character $\chi_{968}(125, \cdot)$
1-968-968.131-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.131 $0$ 0 ✓ ✓ $0.126$ $0$ $1.55380$ Character $\chi_{968}(131, \cdot)$
1-968-968.133-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.133 $0$ 0 ✓ ✓ $0.123$ $0$ $1.17541$ Character $\chi_{968}(133, \cdot)$
1-968-968.139-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.139 $0$ 0 ✓ ✓ $-0.297$ $0$ $0.636838$ Character $\chi_{968}(139, \cdot)$
1-968-968.141-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.141 $0$ 0 ✓ ✓ $-0.247$ $0$ $0.346955$ Character $\chi_{968}(141, \cdot)$
1-968-968.157-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.157 $0$ 0 ✓ ✓ $0.123$ $0$ $1.32999$ Character $\chi_{968}(157, \cdot)$
1-968-968.171-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.171 $0$ 0 ✓ ✓ $0.321$ $0$ $1.50039$ Character $\chi_{968}(171, \cdot)$
1-968-968.181-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.181 $0$ 0 ✓ ✓ $-0.0528$ $0$ $1.03534$ Character $\chi_{968}(181, \cdot)$
1-968-968.19-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.19 $0$ 0 ✓ ✓ $-0.478$ $0$ $1.29811$ Character $\chi_{968}(19, \cdot)$
1-968-968.195-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.195 $0$ 0 ✓ ✓ $0.297$ $0$ $1.04397$ Character $\chi_{968}(195, \cdot)$
1-968-968.211-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.211 $0$ 0 ✓ ✓ $0.126$ $0$ $1.06050$ Character $\chi_{968}(211, \cdot)$
1-968-968.213-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.213 $0$ 0 ✓ ✓ $-0.0280$ $0$ $0.945699$ Character $\chi_{968}(213, \cdot)$
1-968-968.219-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.219 $0$ 0 ✓ ✓ $0.134$ $0$ $1.15910$ Character $\chi_{968}(219, \cdot)$
1-968-968.221-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.221 $0$ 0 ✓ ✓ $0.115$ $0$ $0.657698$ Character $\chi_{968}(221, \cdot)$
1-968-968.227-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.227 $0$ 0 ✓ ✓ $0.191$ $0$ $0.866378$ Character $\chi_{968}(227, \cdot)$
1-968-968.229-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.229 $0$ 0 ✓ ✓ $0.123$ $0$ $0.772265$ Character $\chi_{968}(229, \cdot)$
1-968-968.259-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.259 $0$ 0 ✓ ✓ $0.0780$ $0$ $0.656834$ Character $\chi_{968}(259, \cdot)$
1-968-968.283-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.283 $0$ 0 ✓ ✓ $0.102$ $0$ $1.08864$ Character $\chi_{968}(283, \cdot)$
1-968-968.299-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.299 $0$ 0 ✓ ✓ $-0.0780$ $0$ $0.758709$ Character $\chi_{968}(299, \cdot)$
1-968-968.301-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.301 $0$ 0 ✓ ✓ $0.147$ $0$ $1.57135$ Character $\chi_{968}(301, \cdot)$
1-968-968.307-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.307 $0$ 0 ✓ ✓ $0.0971$ $0$ $1.26241$ Character $\chi_{968}(307, \cdot)$
1-968-968.309-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.309 $0$ 0 ✓ ✓ $-0.347$ $0$ $0.266071$ Character $\chi_{968}(309, \cdot)$
1-968-968.315-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.315 $0$ 0 ✓ ✓ $0.334$ $0$ $1.19308$ Character $\chi_{968}(315, \cdot)$
1-968-968.317-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.317 $0$ 0 ✓ ✓ $0.428$ $0$ $1.54090$ Character $\chi_{968}(317, \cdot)$
1-968-968.333-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.333 $0$ 0 ✓ ✓ $-0.123$ $0$ $1.06531$ Character $\chi_{968}(333, \cdot)$
1-968-968.347-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.347 $0$ 0 ✓ ✓ $-0.465$ $0$ $2.03669$ Character $\chi_{968}(347, \cdot)$
1-968-968.35-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.35 $0$ 0 ✓ ✓ $-0.265$ $0$ $0.932740$ Character $\chi_{968}(35, \cdot)$
1-968-968.357-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.357 $0$ 0 ✓ ✓ $0.247$ $0$ $1.26989$ Character $\chi_{968}(357, \cdot)$
1-968-968.37-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.37 $0$ 0 ✓ ✓ $-0.123$ $0$ $0.808652$ Character $\chi_{968}(37, \cdot)$
1-968-968.371-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.371 $0$ 0 ✓ ✓ $-0.191$ $0$ $0.296621$ Character $\chi_{968}(371, \cdot)$
1-968-968.387-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.387 $0$ 0 ✓ ✓ $0.408$ $0$ $0.153079$ Character $\chi_{968}(387, \cdot)$
1-968-968.389-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.389 $0$ 0 ✓ ✓ $0.358$ $0$ $1.79330$ Character $\chi_{968}(389, \cdot)$
1-968-968.395-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.395 $0$ 0 ✓ ✓ $-0.121$ $0$ $1.20448$ Character $\chi_{968}(395, \cdot)$
1-968-968.397-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.397 $0$ 0 ✓ ✓ $0.371$ $0$ $1.55836$ Character $\chi_{968}(397, \cdot)$
1-968-968.405-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.405 $0$ 0 ✓ ✓ $0.241$ $0$ $1.22652$ Character $\chi_{968}(405, \cdot)$
1-968-968.421-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.421 $0$ 0 ✓ ✓ $-0.0842$ $0$ $1.12360$ Character $\chi_{968}(421, \cdot)$
1-968-968.43-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.43 $0$ 0 ✓ ✓ $0.208$ $0$ $1.54161$ Character $\chi_{968}(43, \cdot)$
1-968-968.435-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.435 $0$ 0 ✓ ✓ $0.00867$ $0$ $1.01511$ Character $\chi_{968}(435, \cdot)$
1-968-968.445-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.445 $0$ 0 ✓ ✓ $0.123$ $0$ $0.838668$ Character $\chi_{968}(445, \cdot)$
1-968-968.45-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.45 $0$ 0 ✓ ✓ $0.0413$ $0$ $1.11907$ Character $\chi_{968}(45, \cdot)$
1-968-968.459-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.459 $0$ 0 ✓ ✓ $0.278$ $0$ $1.15416$ Character $\chi_{968}(459, \cdot)$
1-968-968.477-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.477 $0$ 0 ✓ ✓ $0.315$ $0$ $1.77348$ Character $\chi_{968}(477, \cdot)$
1-968-968.491-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.491 $0$ 0 ✓ ✓ $0.0657$ $0$ $1.14730$ Character $\chi_{968}(491, \cdot)$
1-968-968.5-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.5 $0$ 0 ✓ ✓ $-0.158$ $0$ $0.642242$ Character $\chi_{968}(5, \cdot)$
1-968-968.509-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.509 $0$ 0 ✓ ✓ $0.0280$ $0$ $1.25474$ Character $\chi_{968}(509, \cdot)$
1-968-968.51-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.51 $0$ 0 ✓ ✓ $0.478$ $0$ $0.0559191$ Character $\chi_{968}(51, \cdot)$
1-968-968.523-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.523 $0$ 0 ✓ ✓ $-0.126$ $0$ $0.450884$ Character $\chi_{968}(523, \cdot)$
1-968-968.53-r0-0-0 $4.49$ $4.49$ $1$ $2^{3} \cdot 11^{2}$ 968.53 $0$ 0 ✓ ✓ $-0.284$ $0$ $0.403238$ Character $\chi_{968}(53, \cdot)$
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