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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-117-1.1-c7-0-0 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.307195$ | Modular form 117.8.a.i.1.1 | ||
| 2-117-1.1-c7-0-1 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.312841$ | Modular form 117.8.a.g.1.4 | ||
| 2-117-1.1-c7-0-10 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.849294$ | Modular form 117.8.a.d.1.2 | ||
| 2-117-1.1-c7-0-11 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.952095$ | Modular form 117.8.a.i.1.4 | ||
| 2-117-1.1-c7-0-12 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.03709$ | Modular form 117.8.a.g.1.3 | ||
| 2-117-1.1-c7-0-13 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.04994$ | Modular form 117.8.a.h.1.2 | ||
| 2-117-1.1-c7-0-14 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.08981$ | Modular form 117.8.a.e.1.1 | ||
| 2-117-1.1-c7-0-15 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.11798$ | Modular form 117.8.a.a Modular form 117.8.a.a.1.1 | |
| 2-117-1.1-c7-0-16 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.30007$ | Modular form 117.8.a.i.1.7 | ||
| 2-117-1.1-c7-0-17 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.35934$ | Modular form 117.8.a.b.1.1 | ||
| 2-117-1.1-c7-0-18 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.37697$ | Modular form 117.8.a.h.1.1 | ||
| 2-117-1.1-c7-0-19 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.39580$ | Modular form 117.8.a.f.1.1 | ||
| 2-117-1.1-c7-0-2 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.429836$ | Modular form 117.8.a.i.1.3 | ||
| 2-117-1.1-c7-0-20 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.39888$ | Modular form 117.8.a.h.1.3 | ||
| 2-117-1.1-c7-0-21 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.41710$ | Modular form 117.8.a.g.1.5 | ||
| 2-117-1.1-c7-0-22 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.41937$ | Modular form 117.8.a.c.1.2 | ||
| 2-117-1.1-c7-0-23 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.57170$ | Modular form 117.8.a.f.1.2 | ||
| 2-117-1.1-c7-0-24 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.57765$ | Modular form 117.8.a.e.1.3 | ||
| 2-117-1.1-c7-0-25 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.62692$ | Modular form 117.8.a.e.1.2 | ||
| 2-117-1.1-c7-0-26 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.67924$ | Modular form 117.8.a.i.1.8 | ||
| 2-117-1.1-c7-0-27 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.69281$ | Modular form 117.8.a.h.1.4 | ||
| 2-117-1.1-c7-0-28 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.75442$ | Modular form 117.8.a.d.1.3 | ||
| 2-117-1.1-c7-0-29 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.91200$ | Modular form 117.8.a.f.1.3 | ||
| 2-117-1.1-c7-0-3 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.443724$ | Modular form 117.8.a.i.1.5 | ||
| 2-117-1.1-c7-0-30 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.14789$ | Modular form 117.8.a.h.1.6 | ||
| 2-117-1.1-c7-0-31 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.16378$ | Modular form 117.8.a.e.1.4 | ||
| 2-117-1.1-c7-0-32 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.24679$ | Modular form 117.8.a.b.1.2 | ||
| 2-117-1.1-c7-0-33 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.29371$ | Modular form 117.8.a.h.1.5 | ||
| 2-117-1.1-c7-0-34 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.56956$ | Modular form 117.8.a.f.1.4 | ||
| 2-117-1.1-c7-0-4 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.560597$ | Modular form 117.8.a.d.1.1 | ||
| 2-117-1.1-c7-0-5 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.565254$ | Modular form 117.8.a.c.1.1 | ||
| 2-117-1.1-c7-0-6 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.567423$ | Modular form 117.8.a.g.1.2 | ||
| 2-117-1.1-c7-0-7 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.693616$ | Modular form 117.8.a.g.1.1 | ||
| 2-117-1.1-c7-0-8 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.708626$ | Modular form 117.8.a.i.1.2 | ||
| 2-117-1.1-c7-0-9 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.714967$ | Modular form 117.8.a.i.1.6 | ||
| 2-117-13.10-c7-0-0 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $0.469$ | $0$ | $0.0704063$ | Modular form 117.8.q.e.10.9 | |||
| 2-117-13.10-c7-0-1 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $0.377$ | $0$ | $0.133287$ | Modular form 117.8.q.d.10.5 | |||
| 2-117-13.10-c7-0-10 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.277$ | $0$ | $0.430490$ | Modular form 117.8.q.d.10.6 | |||
| 2-117-13.10-c7-0-11 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.212$ | $0$ | $0.463171$ | Modular form 117.8.q.d.10.8 | |||
| 2-117-13.10-c7-0-12 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.278$ | $0$ | $0.481690$ | Modular form 117.8.q.e.10.7 | |||
| 2-117-13.10-c7-0-13 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.176$ | $0$ | $0.524775$ | Modular form 117.8.q.c.10.2 | |||
| 2-117-13.10-c7-0-14 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.202$ | $0$ | $0.584934$ | Modular form 117.8.q.e.10.5 | |||
| 2-117-13.10-c7-0-15 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.308$ | $0$ | $0.633072$ | Modular form 117.8.q.d.10.1 | |||
| 2-117-13.10-c7-0-16 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $0.0133$ | $0$ | $0.676312$ | Modular form 117.8.q.e.10.2 | |||
| 2-117-13.10-c7-0-17 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.390$ | $0$ | $0.682972$ | Modular form 117.8.q.c.10.6 | |||
| 2-117-13.10-c7-0-18 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.0644$ | $0$ | $0.744548$ | Modular form 117.8.q.c.10.7 | |||
| 2-117-13.10-c7-0-19 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $0.0956$ | $0$ | $0.811272$ | Modular form 117.8.q.c.10.4 | |||
| 2-117-13.10-c7-0-2 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $0.475$ | $0$ | $0.142413$ | Modular form 117.8.q.b.10.5 | |||
| 2-117-13.10-c7-0-20 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.0558$ | $0$ | $0.831334$ | Modular form 117.8.q.e.10.12 | |||
| 2-117-13.10-c7-0-21 | $6.04$ | $36.5$ | $2$ | $3^{2} \cdot 13$ | 13.10 | $7.0$ | $7$ | ✓ | ✓ | $-0.278$ | $0$ | $0.831365$ | Modular form 117.8.q.e.10.8 |