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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 525 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
1-629-629.100-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.100 $0$ 0 ✓ ✓ $-0.243$ $0$ $0.669770$ Character $\chi_{629}(100, \cdot)$
1-629-629.101-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.101 $0$ 0 ✓ ✓ $-0.0468$ $0$ $0.729660$ Character $\chi_{629}(101, \cdot)$
1-629-629.104-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.104 $0$ 0 ✓ ✓ $-0.119$ $0$ $1.05055$ Character $\chi_{629}(104, \cdot)$
1-629-629.105-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.105 $0$ 0 ✓ ✓ $0.105$ $0$ $1.04106$ Character $\chi_{629}(105, \cdot)$
1-629-629.109-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.109 $0$ 0 ✓ ✓ $0.108$ $0$ $0.439060$ Character $\chi_{629}(109, \cdot)$
1-629-629.110-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.110 $0$ 0 ✓ ✓ $-0.112$ $0$ $0.567600$ Character $\chi_{629}(110, \cdot)$
1-629-629.113-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.113 $0$ 0 ✓ ✓ $0.239$ $0$ $1.29350$ Character $\chi_{629}(113, \cdot)$
1-629-629.115-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.115 $0$ 0 ✓ ✓ $-0.0628$ $0$ $0.531136$ Character $\chi_{629}(115, \cdot)$
1-629-629.116-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.116 $0$ 0 ✓ ✓ $0.478$ $0$ $1.50314$ Character $\chi_{629}(116, \cdot)$
1-629-629.118-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.118 $0$ 0 ✓ ✓ $-0.342$ $0$ $1.17444$ Character $\chi_{629}(118, \cdot)$
1-629-629.121-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.121 $0$ 0 ✓ ✓ $-0.150$ $0$ $1.10413$ Character $\chi_{629}(121, \cdot)$
1-629-629.123-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.123 $0$ 0 ✓ ✓ $-0.0716$ $0$ $0.644570$ Character $\chi_{629}(123, \cdot)$
1-629-629.124-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.124 $0$ 0 ✓ ✓ $-0.423$ $0$ $0.0241752$ Character $\chi_{629}(124, \cdot)$
1-629-629.125-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.125 $0$ 0 ✓ ✓ $-0.248$ $0$ $0.972910$ Character $\chi_{629}(125, \cdot)$
1-629-629.126-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.126 $0$ 0 ✓ ✓ $-0.0368$ $0$ $1.47468$ Character $\chi_{629}(126, \cdot)$
1-629-629.127-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.127 $0$ 0 ✓ ✓ $0.229$ $0$ $0.156667$ Character $\chi_{629}(127, \cdot)$
1-629-629.129-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.129 $0$ 0 ✓ ✓ $0.245$ $0$ $1.33380$ Character $\chi_{629}(129, \cdot)$
1-629-629.130-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.130 $0$ 0 ✓ ✓ $0.179$ $0$ $1.35969$ Character $\chi_{629}(130, \cdot)$
1-629-629.131-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.131 $0$ 0 ✓ ✓ $0.0609$ $0$ $1.68127$ Character $\chi_{629}(131, \cdot)$
1-629-629.132-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.132 $0$ 0 ✓ ✓ $-0.493$ $0$ $2.50125$ Character $\chi_{629}(132, \cdot)$
1-629-629.133-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.133 $0$ 0 ✓ ✓ $0.445$ $0$ $0.648470$ Character $\chi_{629}(133, \cdot)$
1-629-629.138-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.138 $0$ 0 ✓ ✓ $0.445$ $0$ $1.66058$ Character $\chi_{629}(138, \cdot)$
1-629-629.14-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.14 $0$ 0 ✓ ✓ $0.00886$ $0$ $1.01462$ Character $\chi_{629}(14, \cdot)$
1-629-629.142-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.142 $0$ 0 ✓ ✓ $0.171$ $0$ $0.586177$ Character $\chi_{629}(142, \cdot)$
1-629-629.143-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.143 $0$ 0 ✓ ✓ $0.00423$ $0$ $1.04281$ Character $\chi_{629}(143, \cdot)$
1-629-629.144-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.144 $0$ 0 ✓ ✓ $0.0758$ $0$ $0.977835$ Character $\chi_{629}(144, \cdot)$
1-629-629.145-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.145 $0$ 0 ✓ ✓ $-0.315$ $0$ $0.960869$ Character $\chi_{629}(145, \cdot)$
1-629-629.146-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.146 $0$ 0 ✓ ✓ $0.168$ $0$ $1.62086$ Character $\chi_{629}(146, \cdot)$
1-629-629.150-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.150 $0$ 0 ✓ ✓ $-0.179$ $0$ $0.702928$ Character $\chi_{629}(150, \cdot)$
1-629-629.151-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.151 $0$ 0 ✓ ✓ $0.302$ $0$ $2.16208$ Character $\chi_{629}(151, \cdot)$
1-629-629.152-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.152 $0$ 0 ✓ ✓ $0.0426$ $0$ $1.61269$ Character $\chi_{629}(152, \cdot)$
1-629-629.155-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.155 $0$ 0 ✓ ✓ $0.150$ $0$ $1.56143$ Character $\chi_{629}(155, \cdot)$
1-629-629.156-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.156 $0$ 0 ✓ ✓ $0.248$ $0$ $1.88449$ Character $\chi_{629}(156, \cdot)$
1-629-629.157-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.157 $0$ 0 ✓ ✓ $-0.0832$ $0$ $0.994338$ Character $\chi_{629}(157, \cdot)$
1-629-629.16-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.16 $0$ 0 ✓ ✓ $0.342$ $0$ $1.58782$ Character $\chi_{629}(16, \cdot)$
1-629-629.163-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.163 $0$ 0 ✓ ✓ $0.0237$ $0$ $1.21655$ Character $\chi_{629}(163, \cdot)$
1-629-629.165-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.165 $0$ 0 ✓ ✓ $0.0142$ $0$ $1.09146$ Character $\chi_{629}(165, \cdot)$
1-629-629.167-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.167 $0$ 0 ✓ ✓ $-0.239$ $0$ $1.20584$ Character $\chi_{629}(167, \cdot)$
1-629-629.169-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.169 $0$ 0 ✓ ✓ $-0.387$ $0$ $0.283267$ Character $\chi_{629}(169, \cdot)$
1-629-629.174-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.174 $0$ 0 ✓ ✓ $-0.248$ $0$ $0.618644$ Character $\chi_{629}(174, \cdot)$
1-629-629.177-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.177 $0$ 0 ✓ ✓ $0.156$ $0$ $1.32784$ Character $\chi_{629}(177, \cdot)$
1-629-629.178-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.178 $0$ 0 ✓ ✓ $0.274$ $0$ $1.62626$ Character $\chi_{629}(178, \cdot)$
1-629-629.180-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.180 $0$ 0 ✓ ✓ $0.0563$ $0$ $1.41390$ Character $\chi_{629}(180, \cdot)$
1-629-629.189-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.189 $0$ 0 ✓ ✓ $-0.464$ $0$ $1.14245$ Character $\chi_{629}(189, \cdot)$
1-629-629.190-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.190 $0$ 0 ✓ ✓ $0.155$ $0$ $1.44436$ Character $\chi_{629}(190, \cdot)$
1-629-629.193-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.193 $0$ 0 ✓ ✓ $0.314$ $0$ $1.31541$ Character $\chi_{629}(193, \cdot)$
1-629-629.195-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.195 $0$ 0 ✓ ✓ $0.243$ $0$ $1.30957$ Character $\chi_{629}(195, \cdot)$
1-629-629.196-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.196 $0$ 0 ✓ ✓ $-0.445$ $0$ $0.759609$ Character $\chi_{629}(196, \cdot)$
1-629-629.198-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.198 $0$ 0 ✓ ✓ $0.437$ $0$ $1.21960$ Character $\chi_{629}(198, \cdot)$
1-629-629.199-r0-0-0 $2.92$ $2.92$ $1$ $17 \cdot 37$ 629.199 $0$ 0 ✓ ✓ $-0.493$ $0$ $1.65734$ Character $\chi_{629}(199, \cdot)$
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