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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 252 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
1-7e3-343.100-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.100 $0$ 0 ✓ ✓ $0.0434$ $0$ $0.757691$ Character $\chi_{343}(100, \cdot)$
1-7e3-343.102-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.102 $0$ 0 ✓ ✓ $-0.350$ $0$ $0.281283$ Character $\chi_{343}(102, \cdot)$
1-7e3-343.106-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.106 $0$ 0 ✓ ✓ $-0.0327$ $0$ $1.23892$ Character $\chi_{343}(106, \cdot)$
1-7e3-343.107-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.107 $0$ 0 ✓ ✓ $-0.281$ $0$ $0.945987$ Character $\chi_{343}(107, \cdot)$
1-7e3-343.109-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.109 $0$ 0 ✓ ✓ $0.281$ $0$ $1.61323$ Character $\chi_{343}(109, \cdot)$
1-7e3-343.11-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.11 $0$ 0 ✓ ✓ $0.281$ $0$ $1.14021$ Character $\chi_{343}(11, \cdot)$
1-7e3-343.113-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.113 $0$ 0 ✓ ✓ $-0.376$ $0$ $0.497557$ Character $\chi_{343}(113, \cdot)$
1-7e3-343.114-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.114 $0$ 0 ✓ ✓ $-0.110$ $0$ $0.216093$ Character $\chi_{343}(114, \cdot)$
1-7e3-343.120-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.120 $0$ 0 ✓ ✓ $-0.0167$ $0$ $1.58973$ Character $\chi_{343}(120, \cdot)$
1-7e3-343.121-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.121 $0$ 0 ✓ ✓ $0.316$ $0$ $1.48616$ Character $\chi_{343}(121, \cdot)$
1-7e3-343.123-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.123 $0$ 0 ✓ ✓ $0.385$ $0$ $1.67714$ Character $\chi_{343}(123, \cdot)$
1-7e3-343.127-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.127 $0$ 0 ✓ ✓ $0.159$ $0$ $1.60204$ Character $\chi_{343}(127, \cdot)$
1-7e3-343.130-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.130 $0$ 0 ✓ ✓ $0.397$ $0$ $1.82218$ Character $\chi_{343}(130, \cdot)$
1-7e3-343.134-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.134 $0$ 0 ✓ ✓ $-0.0517$ $0$ $1.75023$ Character $\chi_{343}(134, \cdot)$
1-7e3-343.135-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.135 $0$ 0 ✓ ✓ $0.350$ $0$ $2.45398$ Character $\chi_{343}(135, \cdot)$
1-7e3-343.137-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.137 $0$ 0 ✓ ✓ $0.318$ $0$ $0.00842374$ Character $\chi_{343}(137, \cdot)$
1-7e3-343.141-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.141 $0$ 0 ✓ ✓ $0.318$ $0$ $1.58550$ Character $\chi_{343}(141, \cdot)$
1-7e3-343.142-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.142 $0$ 0 ✓ ✓ $-0.318$ $0$ $0.897120$ Character $\chi_{343}(142, \cdot)$
1-7e3-343.144-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.144 $0$ 0 ✓ ✓ $0.110$ $0$ $1.09894$ Character $\chi_{343}(144, \cdot)$
1-7e3-343.149-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.149 $0$ 0 ✓ ✓ $-0.242$ $0$ $0.502923$ Character $\chi_{343}(149, \cdot)$
1-7e3-343.15-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.15 $0$ 0 ✓ ✓ $-0.0911$ $0$ $1.63165$ Character $\chi_{343}(15, \cdot)$
1-7e3-343.151-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.151 $0$ 0 ✓ ✓ $-0.492$ $0$ $0.167274$ Character $\chi_{343}(151, \cdot)$
1-7e3-343.155-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.155 $0$ 0 ✓ ✓ $-0.318$ $0$ $0.988087$ Character $\chi_{343}(155, \cdot)$
1-7e3-343.156-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.156 $0$ 0 ✓ ✓ $-0.281$ $0$ $0.448561$ Character $\chi_{343}(156, \cdot)$
1-7e3-343.158-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.158 $0$ 0 ✓ ✓ $-0.289$ $0$ $1.20089$ Character $\chi_{343}(158, \cdot)$
1-7e3-343.16-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.16 $0$ 0 ✓ ✓ $0.0327$ $0$ $1.25507$ Character $\chi_{343}(16, \cdot)$
1-7e3-343.162-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.162 $0$ 0 ✓ ✓ $-0.376$ $0$ $0.658928$ Character $\chi_{343}(162, \cdot)$
1-7e3-343.163-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.163 $0$ 0 ✓ ✓ $-0.247$ $0$ $0.838863$ Character $\chi_{343}(163, \cdot)$
1-7e3-343.169-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.169 $0$ 0 ✓ ✓ $0.268$ $0$ $2.21928$ Character $\chi_{343}(169, \cdot)$
1-7e3-343.170-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.170 $0$ 0 ✓ ✓ $0.173$ $0$ $1.51316$ Character $\chi_{343}(170, \cdot)$
1-7e3-343.172-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.172 $0$ 0 ✓ ✓ $-0.0434$ $0$ $1.22735$ Character $\chi_{343}(172, \cdot)$
1-7e3-343.176-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.176 $0$ 0 ✓ ✓ $0.302$ $0$ $1.18991$ Character $\chi_{343}(176, \cdot)$
1-7e3-343.179-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.179 $0$ 0 ✓ ✓ $-0.316$ $0$ $0.871270$ Character $\chi_{343}(179, \cdot)$
1-7e3-343.183-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.183 $0$ 0 ✓ ✓ $0.0911$ $0$ $1.34137$ Character $\chi_{343}(183, \cdot)$
1-7e3-343.184-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.184 $0$ 0 ✓ ✓ $0.492$ $0$ $1.27458$ Character $\chi_{343}(184, \cdot)$
1-7e3-343.186-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.186 $0$ 0 ✓ ✓ $0.318$ $0$ $1.57274$ Character $\chi_{343}(186, \cdot)$
1-7e3-343.190-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.190 $0$ 0 ✓ ✓ $-0.247$ $0$ $0.990286$ Character $\chi_{343}(190, \cdot)$
1-7e3-343.191-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.191 $0$ 0 ✓ ✓ $0.110$ $0$ $1.44866$ Character $\chi_{343}(191, \cdot)$
1-7e3-343.193-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.193 $0$ 0 ✓ ✓ $-0.0327$ $0$ $1.09012$ Character $\chi_{343}(193, \cdot)$
1-7e3-343.198-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.198 $0$ 0 ✓ ✓ $-0.385$ $0$ $0.352873$ Character $\chi_{343}(198, \cdot)$
1-7e3-343.2-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.2 $0$ 0 ✓ ✓ $0.0434$ $0$ $1.78065$ Character $\chi_{343}(2, \cdot)$
1-7e3-343.200-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.200 $0$ 0 ✓ ✓ $-0.492$ $0$ $1.93636$ Character $\chi_{343}(200, \cdot)$
1-7e3-343.204-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.204 $0$ 0 ✓ ✓ $0.247$ $0$ $1.16533$ Character $\chi_{343}(204, \cdot)$
1-7e3-343.205-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.205 $0$ 0 ✓ ✓ $-0.424$ $0$ $1.05678$ Character $\chi_{343}(205, \cdot)$
1-7e3-343.207-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.207 $0$ 0 ✓ ✓ $0.424$ $0$ $1.49518$ Character $\chi_{343}(207, \cdot)$
1-7e3-343.211-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.211 $0$ 0 ✓ ✓ $0.0517$ $0$ $1.39268$ Character $\chi_{343}(211, \cdot)$
1-7e3-343.212-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.212 $0$ 0 ✓ ✓ $-0.110$ $0$ $0.607600$ Character $\chi_{343}(212, \cdot)$
1-7e3-343.218-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.218 $0$ 0 ✓ ✓ $-0.159$ $0$ $0.843544$ Character $\chi_{343}(218, \cdot)$
1-7e3-343.219-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.219 $0$ 0 ✓ ✓ $-0.397$ $0$ $0.502171$ Character $\chi_{343}(219, \cdot)$
1-7e3-343.22-r0-0-0 $1.59$ $1.59$ $1$ $7^{3}$ 343.22 $0$ 0 ✓ ✓ $0.268$ $0$ $0.867850$ Character $\chi_{343}(22, \cdot)$
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