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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 221 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
1-669-669.104-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.104 $0$ 0 ✓ ✓ $-0.200$ $0$ $0.881376$ Character $\chi_{669}(104, \cdot)$
1-669-669.107-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.107 $0$ 0 ✓ ✓ $0.291$ $0$ $1.06579$ Character $\chi_{669}(107, \cdot)$
1-669-669.11-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.11 $0$ 0 ✓ ✓ $0.321$ $0$ $1.08634$ Character $\chi_{669}(11, \cdot)$
1-669-669.113-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.113 $0$ 0 ✓ ✓ $0.231$ $0$ $1.04698$ Character $\chi_{669}(113, \cdot)$
1-669-669.122-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.122 $0$ 0 ✓ ✓ $0.291$ $0$ $1.57485$ Character $\chi_{669}(122, \cdot)$
1-669-669.125-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.125 $0$ 0 ✓ ✓ $-0.256$ $0$ $0.637592$ Character $\chi_{669}(125, \cdot)$
1-669-669.134-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.134 $0$ 0 ✓ ✓ $-0.110$ $0$ $0.787829$ Character $\chi_{669}(134, \cdot)$
1-669-669.137-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.137 $0$ 0 ✓ ✓ $0.0208$ $0$ $0.749544$ Character $\chi_{669}(137, \cdot)$
1-669-669.140-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.140 $0$ 0 ✓ ✓ $0.0878$ $0$ $1.36280$ Character $\chi_{669}(140, \cdot)$
1-669-669.149-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.149 $0$ 0 ✓ ✓ $-0.0202$ $0$ $1.36599$ Character $\chi_{669}(149, \cdot)$
1-669-669.155-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.155 $0$ 0 ✓ ✓ $0.264$ $0$ $1.42609$ Character $\chi_{669}(155, \cdot)$
1-669-669.158-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.158 $0$ 0 ✓ ✓ $0.391$ $0$ $0.282642$ Character $\chi_{669}(158, \cdot)$
1-669-669.161-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.161 $0$ 0 ✓ ✓ $-0.145$ $0$ $1.39086$ Character $\chi_{669}(161, \cdot)$
1-669-669.167-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.167 $0$ 0 ✓ ✓ $-0.340$ $0$ $0.437334$ Character $\chi_{669}(167, \cdot)$
1-669-669.170-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.170 $0$ 0 ✓ ✓ $-0.291$ $0$ $0.197993$ Character $\chi_{669}(170, \cdot)$
1-669-669.173-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.173 $0$ 0 ✓ ✓ $0.0748$ $0$ $0.931690$ Character $\chi_{669}(173, \cdot)$
1-669-669.176-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.176 $0$ 0 ✓ ✓ $0.177$ $0$ $1.75759$ Character $\chi_{669}(176, \cdot)$
1-669-669.182-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.182 $0$ 0 ✓ ✓ $-0.342$ $0$ $0.932228$ Character $\chi_{669}(182, \cdot)$
1-669-669.185-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.185 $0$ 0 ✓ ✓ $-0.240$ $0$ $1.00181$ Character $\chi_{669}(185, \cdot)$
1-669-669.191-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.191 $0$ 0 ✓ ✓ $-0.415$ $0$ $1.61468$ Character $\chi_{669}(191, \cdot)$
1-669-669.194-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.194 $0$ 0 ✓ ✓ $-0.488$ $0$ $1.50189$ Character $\chi_{669}(194, \cdot)$
1-669-669.20-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.20 $0$ 0 ✓ ✓ $-0.347$ $0$ $0.431496$ Character $\chi_{669}(20, \cdot)$
1-669-669.206-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.206 $0$ 0 ✓ ✓ $-0.0861$ $0$ $0.461598$ Character $\chi_{669}(206, \cdot)$
1-669-669.209-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.209 $0$ 0 ✓ ✓ $-0.105$ $0$ $0.979804$ Character $\chi_{669}(209, \cdot)$
1-669-669.215-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.215 $0$ 0 ✓ ✓ $0.0466$ $0$ $0.678536$ Character $\chi_{669}(215, \cdot)$
1-669-669.221-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.221 $0$ 0 ✓ ✓ $0.410$ $0$ $1.52751$ Character $\chi_{669}(221, \cdot)$
1-669-669.23-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.23 $0$ 0 ✓ ✓ $-0.0233$ $0$ $1.47807$ Character $\chi_{669}(23, \cdot)$
1-669-669.233-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.233 $0$ 0 ✓ ✓ $0.312$ $0$ $1.42181$ Character $\chi_{669}(233, \cdot)$
1-669-669.236-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.236 $0$ 0 ✓ ✓ $0.248$ $0$ $1.46775$ Character $\chi_{669}(236, \cdot)$
1-669-669.245-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.245 $0$ 0 ✓ ✓ $0.247$ $0$ $0.867559$ Character $\chi_{669}(245, \cdot)$
1-669-669.26-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.26 $0$ 0 ✓ ✓ $-0.321$ $0$ $0.367663$ Character $\chi_{669}(26, \cdot)$
1-669-669.263-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.263 $0$ 0 ✓ ✓ $0.295$ $0$ $1.26953$ Character $\chi_{669}(263, \cdot)$
1-669-669.269-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.269 $0$ 0 ✓ ✓ $-0.108$ $0$ $0.925179$ Character $\chi_{669}(269, \cdot)$
1-669-669.275-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.275 $0$ 0 ✓ ✓ $0.471$ $0$ $0.374922$ Character $\chi_{669}(275, \cdot)$
1-669-669.284-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.284 $0$ 0 ✓ ✓ $-0.397$ $0$ $0.621297$ Character $\chi_{669}(284, \cdot)$
1-669-669.290-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.290 $0$ 0 ✓ ✓ $-0.312$ $0$ $0.402251$ Character $\chi_{669}(290, \cdot)$
1-669-669.293-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.293 $0$ 0 ✓ ✓ $-0.0208$ $0$ $1.31737$ Character $\chi_{669}(293, \cdot)$
1-669-669.302-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.302 $0$ 0 ✓ ✓ $-0.279$ $0$ $0.831821$ Character $\chi_{669}(302, \cdot)$
1-669-669.308-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.308 $0$ 0 ✓ ✓ $-0.247$ $0$ $0.381912$ Character $\chi_{669}(308, \cdot)$
1-669-669.311-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.311 $0$ 0 ✓ ✓ $0.240$ $0$ $1.78985$ Character $\chi_{669}(311, \cdot)$
1-669-669.314-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.314 $0$ 0 ✓ ✓ $-0.438$ $0$ $0.472652$ Character $\chi_{669}(314, \cdot)$
1-669-669.320-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.320 $0$ 0 ✓ ✓ $0.0233$ $0$ $0.831115$ Character $\chi_{669}(320, \cdot)$
1-669-669.326-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.326 $0$ 0 ✓ ✓ $-0.248$ $0$ $0.313025$ Character $\chi_{669}(326, \cdot)$
1-669-669.341-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.341 $0$ 0 ✓ ✓ $0.0861$ $0$ $1.28157$ Character $\chi_{669}(341, \cdot)$
1-669-669.35-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.35 $0$ 0 ✓ ✓ $-0.274$ $0$ $0.764866$ Character $\chi_{669}(35, \cdot)$
1-669-669.365-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.365 $0$ 0 ✓ ✓ $-0.321$ $0$ $0.884852$ Character $\chi_{669}(365, \cdot)$
1-669-669.368-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.368 $0$ 0 ✓ ✓ $0.347$ $0$ $1.22686$ Character $\chi_{669}(368, \cdot)$
1-669-669.374-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.374 $0$ 0 ✓ ✓ $0.00130$ $0$ $1.29138$ Character $\chi_{669}(374, \cdot)$
1-669-669.377-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.377 $0$ 0 ✓ ✓ $0.0531$ $0$ $1.23290$ Character $\chi_{669}(377, \cdot)$
1-669-669.380-r0-0-0 $3.10$ $3.10$ $1$ $3 \cdot 223$ 669.380 $0$ 0 ✓ ✓ $0.256$ $0$ $1.60386$ Character $\chi_{669}(380, \cdot)$
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