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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 567 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
1-667-667.10-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.10 $0$ 0 ✓ ✓ $-0.349$ $0$ $2.51701$ Character $\chi_{667}(10, \cdot)$
1-667-667.100-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.100 $0$ 0 ✓ ✓ $-0.0116$ $0$ $0.408346$ Character $\chi_{667}(100, \cdot)$
1-667-667.102-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.102 $0$ 0 ✓ ✓ $0.497$ $0$ $1.91452$ Character $\chi_{667}(102, \cdot)$
1-667-667.106-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.106 $0$ 0 ✓ ✓ $0.0994$ $0$ $1.24733$ Character $\chi_{667}(106, \cdot)$
1-667-667.11-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.11 $0$ 0 ✓ ✓ $-0.130$ $0$ $1.21176$ Character $\chi_{667}(11, \cdot)$
1-667-667.110-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.110 $0$ 0 ✓ ✓ $-0.276$ $0$ $0.514434$ Character $\chi_{667}(110, \cdot)$
1-667-667.113-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.113 $0$ 0 ✓ ✓ $0.182$ $0$ $1.59677$ Character $\chi_{667}(113, \cdot)$
1-667-667.114-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.114 $0$ 0 ✓ ✓ $-0.327$ $0$ $0.498326$ Character $\chi_{667}(114, \cdot)$
1-667-667.121-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.121 $0$ 0 ✓ ✓ $0.162$ $0$ $1.59299$ Character $\chi_{667}(121, \cdot)$
1-667-667.123-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.123 $0$ 0 ✓ ✓ $-0.118$ $0$ $0.939928$ Character $\chi_{667}(123, \cdot)$
1-667-667.126-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.126 $0$ 0 ✓ ✓ $-0.320$ $0$ $0.422813$ Character $\chi_{667}(126, \cdot)$
1-667-667.13-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.13 $0$ 0 ✓ ✓ $-0.402$ $0$ $0.670451$ Character $\chi_{667}(13, \cdot)$
1-667-667.130-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.130 $0$ 0 ✓ ✓ $-0.0155$ $0$ $1.48193$ Character $\chi_{667}(130, \cdot)$
1-667-667.134-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.134 $0$ 0 ✓ ✓ $0.448$ $0$ $0.483924$ Character $\chi_{667}(134, \cdot)$
1-667-667.135-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.135 $0$ 0 ✓ ✓ $0.286$ $0$ $1.74548$ Character $\chi_{667}(135, \cdot)$
1-667-667.137-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.137 $0$ 0 ✓ ✓ $-0.241$ $0$ $1.01816$ Character $\chi_{667}(137, \cdot)$
1-667-667.14-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.14 $0$ 0 ✓ ✓ $0.483$ $0$ $1.37406$ Character $\chi_{667}(14, \cdot)$
1-667-667.140-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.140 $0$ 0 ✓ ✓ $-0.00887$ $0$ $0.948369$ Character $\chi_{667}(140, \cdot)$
1-667-667.141-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.141 $0$ 0 ✓ ✓ $0.118$ $0$ $1.12103$ Character $\chi_{667}(141, \cdot)$
1-667-667.143-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.143 $0$ 0 ✓ ✓ $-0.483$ $0$ $0.138169$ Character $\chi_{667}(143, \cdot)$
1-667-667.144-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.144 $0$ 0 ✓ ✓ $-0.359$ $0$ $0.156051$ Character $\chi_{667}(144, \cdot)$
1-667-667.148-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.148 $0$ 0 ✓ ✓ $0.0393$ $0$ $1.04690$ Character $\chi_{667}(148, \cdot)$
1-667-667.15-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.15 $0$ 0 ✓ ✓ $0.314$ $0$ $1.67473$ Character $\chi_{667}(15, \cdot)$
1-667-667.150-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.150 $0$ 0 ✓ ✓ $-0.347$ $0$ $0.428368$ Character $\chi_{667}(150, \cdot)$
1-667-667.151-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.151 $0$ 0 ✓ ✓ $0.183$ $0$ $0.806678$ Character $\chi_{667}(151, \cdot)$
1-667-667.153-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.153 $0$ 0 ✓ ✓ $-0.338$ $0$ $0.807152$ Character $\chi_{667}(153, \cdot)$
1-667-667.154-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.154 $0$ 0 ✓ ✓ $0.402$ $0$ $2.02837$ Character $\chi_{667}(154, \cdot)$
1-667-667.155-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.155 $0$ 0 ✓ ✓ $-0.401$ $0$ $1.78283$ Character $\chi_{667}(155, \cdot)$
1-667-667.157-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.157 $0$ 0 ✓ ✓ $0.236$ $0$ $1.64733$ Character $\chi_{667}(157, \cdot)$
1-667-667.159-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.159 $0$ 0 ✓ ✓ $0.453$ $0$ $0.873588$ Character $\chi_{667}(159, \cdot)$
1-667-667.16-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.16 $0$ 0 ✓ ✓ $0.237$ $0$ $0.188377$ Character $\chi_{667}(16, \cdot)$
1-667-667.160-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.160 $0$ 0 ✓ ✓ $-0.342$ $0$ $1.01391$ Character $\chi_{667}(160, \cdot)$
1-667-667.165-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.165 $0$ 0 ✓ ✓ $0.415$ $0$ $1.49235$ Character $\chi_{667}(165, \cdot)$
1-667-667.166-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.166 $0$ 0 ✓ ✓ $-0.398$ $0$ $0.495786$ Character $\chi_{667}(166, \cdot)$
1-667-667.167-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.167 $0$ 0 ✓ ✓ $0.0543$ $0$ $1.01186$ Character $\chi_{667}(167, \cdot)$
1-667-667.169-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.169 $0$ 0 ✓ ✓ $0.217$ $0$ $0.372864$ Character $\chi_{667}(169, \cdot)$
1-667-667.17-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.17 $0$ 0 ✓ ✓ $-0.236$ $0$ $0.829410$ Character $\chi_{667}(17, \cdot)$
1-667-667.170-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.170 $0$ 0 ✓ ✓ $0.370$ $0$ $1.58953$ Character $\chi_{667}(170, \cdot)$
1-667-667.171-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.171 $0$ 0 ✓ ✓ $-0.0982$ $0$ $1.44892$ Character $\chi_{667}(171, \cdot)$
1-667-667.172-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.172 $0$ 0 ✓ ✓ $-0.453$ $0$ $1.74127$ Character $\chi_{667}(172, \cdot)$
1-667-667.173-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.173 $0$ 0 ✓ ✓ $0.129$ $0$ $1.09573$ Character $\chi_{667}(173, \cdot)$
1-667-667.176-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.176 $0$ 0 ✓ ✓ $0.000957$ $0$ $0.873407$ Character $\chi_{667}(176, \cdot)$
1-667-667.179-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.179 $0$ 0 ✓ ✓ $0.367$ $0$ $0.601819$ Character $\chi_{667}(179, \cdot)$
1-667-667.182-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.182 $0$ 0 ✓ ✓ $0.130$ $0$ $1.16957$ Character $\chi_{667}(182, \cdot)$
1-667-667.187-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.187 $0$ 0 ✓ ✓ $-0.205$ $0$ $0.735565$ Character $\chi_{667}(187, \cdot)$
1-667-667.189-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.189 $0$ 0 ✓ ✓ $0.498$ $0$ $1.99635$ Character $\chi_{667}(189, \cdot)$
1-667-667.19-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.19 $0$ 0 ✓ ✓ $0.149$ $0$ $1.34204$ Character $\chi_{667}(19, \cdot)$
1-667-667.190-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.190 $0$ 0 ✓ ✓ $-0.415$ $0$ $0.920627$ Character $\chi_{667}(190, \cdot)$
1-667-667.191-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.191 $0$ 0 ✓ ✓ $0.124$ $0$ $0.580289$ Character $\chi_{667}(191, \cdot)$
1-667-667.195-r0-0-0 $3.09$ $3.09$ $1$ $23 \cdot 29$ 667.195 $0$ 0 ✓ ✓ $-0.367$ $0$ $0.437986$ Character $\chi_{667}(195, \cdot)$
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