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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
2-117-13.5-c0-0-0 $0.241$ $0.0583$ $2$ $3^{2} \cdot 13$ 13.5 $$ $0.0$ $0$ $-0.0467$ $0$ $2.45453$ Artin representation 2.117.8t17.b.a Modular form 117.1.j.a.109.1
2-117-13.8-c0-0-0 $0.241$ $0.0583$ $2$ $3^{2} \cdot 13$ 13.8 $$ $0.0$ $0$ $0.0467$ $0$ $3.10156$ Artin representation 2.117.8t17.b.b Modular form 117.1.j.a.73.1
2-117-117.11-c1-0-9 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $0.128$ $0$ $3.16527$ Modular form 117.2.x.a.11.10
2-117-117.103-c1-0-3 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.103 $$ $1.0$ $1$ $-0.294$ $0$ $1.54697$ Modular form 117.2.t.c.103.2
2-117-117.5-c1-0-10 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.5 $$ $1.0$ $1$ $0.369$ $0$ $3.62252$ Modular form 117.2.z.b.5.10
2-117-117.11-c1-0-7 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $0.0475$ $0$ $2.34199$ Modular form 117.2.x.a.11.11
2-117-117.83-c1-0-4 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.83 $$ $1.0$ $1$ $-0.0630$ $0$ $1.81165$ Modular form 117.2.z.b.83.1
2-117-117.47-c1-0-9 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.47 $$ $1.0$ $1$ $0.365$ $0$ $3.26687$ Modular form 117.2.z.b.47.2
2-117-117.11-c1-0-11 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $0.304$ $0$ $3.81745$ Modular form 117.2.x.a.11.12
2-117-117.2-c1-0-4 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.2 $$ $1.0$ $1$ $0.331$ $0$ $2.44749$ Modular form 117.2.x.a.2.1
2-117-117.49-c1-0-5 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.49 $$ $1.0$ $1$ $-0.209$ $0$ $2.19019$ Modular form 117.2.r.b.49.10
2-117-39.32-c1-0-0 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 39.32 $$ $1.0$ $1$ $-0.239$ $0$ $0.985285$ Modular form 117.2.ba.a.71.1
2-117-117.83-c1-0-7 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.83 $$ $1.0$ $1$ $-0.0226$ $0$ $2.43272$ Modular form 117.2.z.b.83.10
2-117-117.11-c1-0-6 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $0.0161$ $0$ $2.23270$ Modular form 117.2.x.a.11.6
2-117-9.7-c1-0-9 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 9.7 $$ $1.0$ $1$ $0.186$ $0$ $3.17131$ Modular form 117.2.e.b.79.4
2-117-39.5-c1-0-3 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 39.5 $$ $1.0$ $1$ $-0.193$ $0$ $2.33030$ Modular form 117.2.i.a.44.5
2-117-117.43-c1-0-0 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.43 $$ $1.0$ $1$ $-0.366$ $0$ $0.512638$ Modular form 117.2.r.b.43.1
2-117-117.41-c1-0-5 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.41 $$ $1.0$ $1$ $-0.0289$ $0$ $1.93327$ Modular form 117.2.bc.a.41.6
2-117-117.4-c1-0-1 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.4 $$ $1.0$ $1$ $-0.377$ $0$ $1.56308$ Modular form 117.2.l.b.4.9
2-117-117.11-c1-0-2 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $-0.175$ $0$ $1.45878$ Modular form 117.2.x.a.11.8
2-117-117.32-c1-0-6 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.32 $$ $1.0$ $1$ $0.0773$ $0$ $2.33019$ Modular form 117.2.x.a.32.7
2-117-117.103-c1-0-11 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.103 $$ $1.0$ $1$ $-0.483$ $1$ $3.80247$ Modular form 117.2.t.a.103.1
2-117-117.50-c1-0-4 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.50 $$ $1.0$ $1$ $-0.366$ $0$ $2.04144$ Modular form 117.2.bc.a.50.12
2-117-117.49-c1-0-4 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.49 $$ $1.0$ $1$ $-0.0764$ $0$ $2.17869$ Modular form 117.2.r.b.49.6
2-117-117.88-c1-0-9 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.88 $$ $1.0$ $1$ $0.217$ $0$ $2.84734$ Modular form 117.2.l.b.88.5
2-117-39.32-c1-0-1 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 39.32 $$ $1.0$ $1$ $-0.0239$ $0$ $2.15453$ Modular form 117.2.ba.b.71.2
2-117-117.50-c1-0-3 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.50 $$ $1.0$ $1$ $-0.0135$ $0$ $1.87155$ Modular form 117.2.bc.a.50.7
2-117-117.49-c1-0-7 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.49 $$ $1.0$ $1$ $0.0653$ $0$ $2.97329$ Modular form 117.2.r.b.49.8
2-117-117.59-c1-0-10 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.59 $$ $1.0$ $1$ $0.227$ $0$ $3.26079$ Modular form 117.2.x.a.59.10
2-117-117.11-c1-0-10 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $0.244$ $0$ $3.52001$ Modular form 117.2.x.a.11.9
2-117-117.5-c1-0-6 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.5 $$ $1.0$ $1$ $0.0518$ $0$ $2.34554$ Modular form 117.2.z.b.5.6
2-117-39.5-c1-0-1 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 39.5 $$ $1.0$ $1$ $-0.234$ $0$ $2.21858$ Modular form 117.2.i.a.44.6
2-117-117.16-c1-0-6 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.16 $$ $1.0$ $1$ $-0.0174$ $0$ $2.66332$ Modular form 117.2.h.a.16.9
2-117-13.12-c1-0-2 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 13.12 $$ $1.0$ $1$ $0$ $0$ $1.94411$ Modular form 117.2.b.b.64.2
2-117-117.43-c1-0-7 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.43 $$ $1.0$ $1$ $-0.0326$ $0$ $2.17744$ Modular form 117.2.r.b.43.2
2-117-117.94-c1-0-6 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.94 $$ $1.0$ $1$ $0.00412$ $0$ $2.12162$ Modular form 117.2.f.a.94.6
2-117-117.86-c1-0-1 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.86 $$ $1.0$ $1$ $-0.111$ $0$ $1.01644$ Modular form 117.2.z.b.86.4
2-117-117.25-c1-0-7 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.25 $$ $1.0$ $1$ $0.129$ $0$ $2.53697$ Modular form 117.2.t.c.25.5
2-117-117.110-c1-0-4 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.110 $$ $1.0$ $1$ $0.0135$ $0$ $1.96546$ Modular form 117.2.bc.a.110.7
2-117-117.22-c1-0-8 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.22 $$ $1.0$ $1$ $0.213$ $0$ $2.62029$ Modular form 117.2.h.a.22.5
2-117-117.83-c1-0-8 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.83 $$ $1.0$ $1$ $0.282$ $0$ $2.77250$ Modular form 117.2.z.b.83.3
2-117-117.11-c1-0-3 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.11 $$ $1.0$ $1$ $-0.0773$ $0$ $1.56241$ Modular form 117.2.x.a.11.7
2-117-117.43-c1-0-5 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.43 $$ $1.0$ $1$ $-0.0653$ $0$ $2.10417$ Modular form 117.2.r.b.43.8
2-117-117.32-c1-0-9 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.32 $$ $1.0$ $1$ $0.216$ $0$ $2.89620$ Modular form 117.2.x.a.32.5
2-117-117.32-c1-0-11 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.32 $$ $1.0$ $1$ $-0.299$ $0$ $3.96465$ Modular form 117.2.x.a.32.1
2-117-117.2-c1-0-3 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.2 $$ $1.0$ $1$ $-0.227$ $0$ $1.86090$ Modular form 117.2.x.a.2.10
2-117-9.7-c1-0-11 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 9.7 $$ $1.0$ $1$ $0.335$ $0$ $3.79959$ Modular form 117.2.e.c.79.5
2-117-117.50-c1-0-6 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.50 $$ $1.0$ $1$ $0.266$ $0$ $2.47252$ Modular form 117.2.bc.a.50.3
2-117-39.32-c1-0-2 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 39.32 $$ $1.0$ $1$ $0.280$ $0$ $2.61944$ Modular form 117.2.ba.b.71.1
2-117-117.20-c1-0-2 $0.966$ $0.934$ $2$ $3^{2} \cdot 13$ 117.20 $$ $1.0$ $1$ $0.141$ $0$ $1.67946$ Modular form 117.2.bc.a.20.4
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