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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
2-639-71.70-c0-0-1 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 71.70 $$ $0.0$ $0$ $0$ $0$ $1.77073$ Modular form 639.1.d.a.496.2
2-639-639.283-c0-0-2 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $0.269$ $0$ $1.63923$ Modular form 639.1.g.b.283.1
2-639-639.70-c0-0-1 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $-0.269$ $0$ $1.27675$ Modular form 639.1.g.b.70.1
2-639-639.283-c0-0-0 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $0.126$ $0$ $0.740883$ Modular form 639.1.g.b.283.2
2-639-639.70-c0-0-6 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $0.444$ $0$ $2.81768$ Artin representation 2.639.6t5.b.b Modular form 639.1.g.a.70.1
2-639-71.70-c0-0-0 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 71.70 $$ $0.0$ $0$ $0$ $0$ $1.26584$ Modular form 639.1.d.a.496.1
2-639-639.70-c0-0-4 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $0.0158$ $0$ $1.98466$ Modular form 639.1.g.b.70.4
2-639-71.70-c0-0-2 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 71.70 $$ $0.0$ $0$ $0$ $0$ $2.28751$ Modular form 639.1.d.a.496.3
2-639-639.283-c0-0-5 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $-0.301$ $0$ $1.93465$ Modular form 639.1.g.b.283.6
2-639-639.283-c0-0-6 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $0.412$ $0$ $2.63612$ Modular form 639.1.g.b.283.3
2-639-639.283-c0-0-3 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $-0.0158$ $0$ $1.73298$ Modular form 639.1.g.b.283.4
2-639-639.70-c0-0-5 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $0.301$ $0$ $2.58020$ Modular form 639.1.g.b.70.6
2-639-639.70-c0-0-3 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $0.158$ $0$ $1.55872$ Modular form 639.1.g.b.70.5
2-639-639.283-c0-0-4 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $-0.158$ $0$ $1.84458$ Modular form 639.1.g.b.283.5
2-639-639.70-c0-0-2 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $-0.126$ $0$ $1.29180$ Modular form 639.1.g.b.70.2
2-639-639.70-c0-0-0 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $$ $0.0$ $0$ $-0.412$ $0$ $1.09738$ Modular form 639.1.g.b.70.3
2-639-639.283-c0-0-1 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $$ $0.0$ $0$ $-0.444$ $0$ $0.999886$ Artin representation 2.639.6t5.b.a Modular form 639.1.g.a.283.1
2-639-213.92-c1-0-11 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.92 $$ $1.0$ $1$ $-0.00799$ $0$ $1.19174$ Modular form 639.2.z.a.305.19
2-639-213.62-c1-0-6 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.62 $$ $1.0$ $1$ $-0.180$ $0$ $0.860772$ Modular form 639.2.z.a.62.2
2-639-213.92-c1-0-12 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.92 $$ $1.0$ $1$ $0.0965$ $0$ $1.21892$ Modular form 639.2.z.a.305.8
2-639-213.59-c1-0-16 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.59 $$ $1.0$ $1$ $0.0677$ $0$ $1.47586$ Modular form 639.2.z.a.485.5
2-639-213.56-c1-0-22 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $0.292$ $0$ $2.39925$ Modular form 639.2.z.a.269.20
2-639-213.56-c1-0-15 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $-0.170$ $0$ $1.67934$ Modular form 639.2.z.a.269.22
2-639-213.56-c1-0-23 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $0.456$ $0$ $2.46592$ Modular form 639.2.z.a.269.15
2-639-213.56-c1-0-9 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $-0.235$ $0$ $1.33525$ Modular form 639.2.z.a.269.23
2-639-213.59-c1-0-15 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.59 $$ $1.0$ $1$ $-0.0396$ $0$ $1.41943$ Modular form 639.2.z.a.485.10
2-639-213.59-c1-0-22 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.59 $$ $1.0$ $1$ $0.413$ $0$ $2.64515$ Modular form 639.2.z.a.485.23
2-639-213.62-c1-0-5 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.62 $$ $1.0$ $1$ $-0.275$ $0$ $0.795830$ Modular form 639.2.z.a.62.7
2-639-213.68-c1-0-19 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.68 $$ $1.0$ $1$ $0.264$ $0$ $1.97297$ Modular form 639.2.z.a.494.21
2-639-213.92-c1-0-10 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.92 $$ $1.0$ $1$ $-0.0505$ $0$ $1.10341$ Modular form 639.2.z.a.305.20
2-639-213.59-c1-0-17 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.59 $$ $1.0$ $1$ $-0.0235$ $0$ $1.48314$ Modular form 639.2.z.a.485.3
2-639-213.92-c1-0-13 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.92 $$ $1.0$ $1$ $0.147$ $0$ $1.39034$ Modular form 639.2.z.a.305.4
2-639-213.53-c1-0-9 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.53 $$ $1.0$ $1$ $0.330$ $0$ $1.17367$ Modular form 639.2.z.a.53.3
2-639-213.53-c1-0-22 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.53 $$ $1.0$ $1$ $-0.396$ $0$ $2.22636$ Modular form 639.2.z.a.53.5
2-639-213.56-c1-0-0 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $-0.128$ $0$ $0.0281753$ Modular form 639.2.z.a.269.7
2-639-213.35-c1-0-9 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.35 $$ $1.0$ $1$ $0.191$ $0$ $1.06758$ Modular form 639.2.z.a.35.5
2-639-213.35-c1-0-14 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.35 $$ $1.0$ $1$ $0.157$ $0$ $1.30514$ Modular form 639.2.z.a.35.14
2-639-213.35-c1-0-15 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.35 $$ $1.0$ $1$ $-0.0938$ $0$ $1.32761$ Modular form 639.2.z.a.35.21
2-639-213.41-c1-0-0 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.41 $$ $1.0$ $1$ $0.426$ $0$ $0.137240$ Modular form 639.2.p.a.467.1
2-639-213.44-c1-0-17 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.44 $$ $1.0$ $1$ $0.00799$ $0$ $1.77853$ Modular form 639.2.z.a.44.19
2-639-213.35-c1-0-21 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.35 $$ $1.0$ $1$ $0.332$ $0$ $2.28583$ Modular form 639.2.z.a.35.19
2-639-213.35-c1-0-8 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.35 $$ $1.0$ $1$ $-0.182$ $0$ $0.927108$ Modular form 639.2.z.a.35.13
2-639-213.44-c1-0-16 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.44 $$ $1.0$ $1$ $0.413$ $0$ $1.74436$ Modular form 639.2.z.a.44.7
2-639-213.53-c1-0-21 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.53 $$ $1.0$ $1$ $0.136$ $0$ $2.18342$ Modular form 639.2.z.a.53.15
2-639-213.53-c1-0-4 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.53 $$ $1.0$ $1$ $-0.409$ $0$ $0.625907$ Modular form 639.2.z.a.53.17
2-639-213.53-c1-0-8 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.53 $$ $1.0$ $1$ $-0.192$ $0$ $1.03334$ Modular form 639.2.z.a.53.14
2-639-213.47-c1-0-21 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.47 $$ $1.0$ $1$ $0.0987$ $0$ $1.90371$ Modular form 639.2.z.a.260.18
2-639-213.56-c1-0-14 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $0.0641$ $0$ $1.57162$ Modular form 639.2.z.a.269.17
2-639-213.56-c1-0-18 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $0.492$ $0$ $1.83548$ Modular form 639.2.z.a.269.9
2-639-213.56-c1-0-21 $2.25$ $5.10$ $2$ $3^{2} \cdot 71$ 213.56 $$ $1.0$ $1$ $0.296$ $0$ $2.19443$ Modular form 639.2.z.a.269.16
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