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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 126 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
1-7e3-343.10-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.10 $1$ 0 ✓ ✓ $0.00291$ $0$ $0.886606$ Character $\chi_{343}(10, \cdot)$
1-7e3-343.101-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.101 $1$ 0 ✓ ✓ $0.00291$ $0$ $0.644858$ Character $\chi_{343}(101, \cdot)$
1-7e3-343.103-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.103 $1$ 0 ✓ ✓ $0.00291$ $0$ $1.17705$ Character $\chi_{343}(103, \cdot)$
1-7e3-343.104-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.104 $1$ 0 ✓ ✓ $-0.431$ $0$ $2.17742$ Character $\chi_{343}(104, \cdot)$
1-7e3-343.108-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.108 $1$ 0 ✓ ✓ $0.139$ $0$ $0.990633$ Character $\chi_{343}(108, \cdot)$
1-7e3-343.110-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.110 $1$ 0 ✓ ✓ $-0.185$ $0$ $0.308768$ Character $\chi_{343}(110, \cdot)$
1-7e3-343.111-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.111 $1$ 0 ✓ ✓ $0.0553$ $0$ $0.431844$ Character $\chi_{343}(111, \cdot)$
1-7e3-343.115-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.115 $1$ 0 ✓ ✓ $-0.423$ $0$ $0.0698025$ Character $\chi_{343}(115, \cdot)$
1-7e3-343.118-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.118 $1$ 0 ✓ ✓ $-0.0903$ $0$ $0.418515$ Character $\chi_{343}(118, \cdot)$
1-7e3-343.12-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.12 $1$ 0 ✓ ✓ $0.242$ $0$ $1.07649$ Character $\chi_{343}(12, \cdot)$
1-7e3-343.122-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.122 $1$ 0 ✓ ✓ $-0.00777$ $0$ $0.849258$ Character $\chi_{343}(122, \cdot)$
1-7e3-343.124-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.124 $1$ 0 ✓ ✓ $-0.147$ $0$ $0.834182$ Character $\chi_{343}(124, \cdot)$
1-7e3-343.125-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.125 $1$ 0 ✓ ✓ $0.0903$ $0$ $0.252331$ Character $\chi_{343}(125, \cdot)$
1-7e3-343.13-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.13 $1$ 0 ✓ ✓ $0.198$ $0$ $1.81476$ Character $\chi_{343}(13, \cdot)$
1-7e3-343.131-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.131 $1$ 0 ✓ ✓ $0.139$ $0$ $1.24775$ Character $\chi_{343}(131, \cdot)$
1-7e3-343.132-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.132 $1$ 0 ✓ ✓ $-0.198$ $0$ $1.12587$ Character $\chi_{343}(132, \cdot)$
1-7e3-343.136-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.136 $1$ 0 ✓ ✓ $-0.325$ $0$ $0.345179$ Character $\chi_{343}(136, \cdot)$
1-7e3-343.138-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.138 $1$ 0 ✓ ✓ $0.325$ $0$ $1.59755$ Character $\chi_{343}(138, \cdot)$
1-7e3-343.139-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.139 $1$ 0 ✓ ✓ $0.00291$ $0$ $0.652267$ Character $\chi_{343}(139, \cdot)$
1-7e3-343.143-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.143 $1$ 0 ✓ ✓ $-0.242$ $0$ $0.613060$ Character $\chi_{343}(143, \cdot)$
1-7e3-343.145-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.145 $1$ 0 ✓ ✓ $-0.135$ $0$ $0.811814$ Character $\chi_{343}(145, \cdot)$
1-7e3-343.150-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.150 $1$ 0 ✓ ✓ $-0.282$ $0$ $1.18988$ Character $\chi_{343}(150, \cdot)$
1-7e3-343.152-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.152 $1$ 0 ✓ ✓ $-0.139$ $0$ $0.921817$ Character $\chi_{343}(152, \cdot)$
1-7e3-343.153-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.153 $1$ 0 ✓ ✓ $0.00291$ $0$ $1.26826$ Character $\chi_{343}(153, \cdot)$
1-7e3-343.157-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.157 $1$ 0 ✓ ✓ $-0.431$ $0$ $0.242352$ Character $\chi_{343}(157, \cdot)$
1-7e3-343.159-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.159 $1$ 0 ✓ ✓ $0.242$ $0$ $1.13487$ Character $\chi_{343}(159, \cdot)$
1-7e3-343.160-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.160 $1$ 0 ✓ ✓ $0.341$ $0$ $0.620481$ Character $\chi_{343}(160, \cdot)$
1-7e3-343.164-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.164 $1$ 0 ✓ ✓ $0.433$ $0$ $0.263817$ Character $\chi_{343}(164, \cdot)$
1-7e3-343.167-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.167 $1$ 0 ✓ ✓ $0.0524$ $0$ $0.726172$ Character $\chi_{343}(167, \cdot)$
1-7e3-343.17-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.17 $1$ 0 ✓ ✓ $0.433$ $0$ $1.38214$ Character $\chi_{343}(17, \cdot)$
1-7e3-343.171-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.171 $1$ 0 ✓ ✓ $-0.293$ $0$ $0.688879$ Character $\chi_{343}(171, \cdot)$
1-7e3-343.173-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.173 $1$ 0 ✓ ✓ $0.423$ $0$ $1.38117$ Character $\chi_{343}(173, \cdot)$
1-7e3-343.174-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.174 $1$ 0 ✓ ✓ $-0.481$ $0$ $1.41881$ Character $\chi_{343}(174, \cdot)$
1-7e3-343.180-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.180 $1$ 0 ✓ ✓ $0.00291$ $0$ $0.307041$ Character $\chi_{343}(180, \cdot)$
1-7e3-343.181-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.181 $1$ 0 ✓ ✓ $0.373$ $0$ $1.80432$ Character $\chi_{343}(181, \cdot)$
1-7e3-343.185-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.185 $1$ 0 ✓ ✓ $-0.0398$ $0$ $0.884950$ Character $\chi_{343}(185, \cdot)$
1-7e3-343.187-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.187 $1$ 0 ✓ ✓ $0.468$ $0$ $0.710470$ Character $\chi_{343}(187, \cdot)$
1-7e3-343.188-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.188 $1$ 0 ✓ ✓ $0.431$ $0$ $0.108581$ Character $\chi_{343}(188, \cdot)$
1-7e3-343.192-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.192 $1$ 0 ✓ ✓ $-0.242$ $0$ $1.07680$ Character $\chi_{343}(192, \cdot)$
1-7e3-343.194-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.194 $1$ 0 ✓ ✓ $0.00777$ $0$ $0.758911$ Character $\chi_{343}(194, \cdot)$
1-7e3-343.199-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.199 $1$ 0 ✓ ✓ $-0.139$ $0$ $0.0750735$ Character $\chi_{343}(199, \cdot)$
1-7e3-343.20-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.20 $1$ 0 ✓ ✓ $-0.233$ $0$ $2.04066$ Character $\chi_{343}(20, \cdot)$
1-7e3-343.201-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.201 $1$ 0 ✓ ✓ $0.431$ $0$ $1.26692$ Character $\chi_{343}(201, \cdot)$
1-7e3-343.202-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.202 $1$ 0 ✓ ✓ $-0.431$ $0$ $0.131161$ Character $\chi_{343}(202, \cdot)$
1-7e3-343.206-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.206 $1$ 0 ✓ ✓ $-0.431$ $0$ $0.681499$ Character $\chi_{343}(206, \cdot)$
1-7e3-343.208-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.208 $1$ 0 ✓ ✓ $0.100$ $0$ $0.737708$ Character $\chi_{343}(208, \cdot)$
1-7e3-343.209-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.209 $1$ 0 ✓ ✓ $0.198$ $0$ $1.19966$ Character $\chi_{343}(209, \cdot)$
1-7e3-343.213-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.213 $1$ 0 ✓ ✓ $0.147$ $0$ $0.443354$ Character $\chi_{343}(213, \cdot)$
1-7e3-343.216-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.216 $1$ 0 ✓ ✓ $-0.0903$ $0$ $1.17333$ Character $\chi_{343}(216, \cdot)$
1-7e3-343.220-r1-0-0 $36.8$ $36.8$ $1$ $7^{3}$ 343.220 $1$ 0 ✓ ✓ $0.135$ $0$ $0.838946$ Character $\chi_{343}(220, \cdot)$
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