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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-31-31.30-c0-0-0 | $0.124$ | $0.0154$ | $2$ | $31$ | 31.30 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $4.16621$ | Artin representation 2.31.3t2.b Artin representation 2.31.3t2.b.a Modular form 31.1.b.a Modular form 31.1.b.a.30.1 | |
2-31-1.1-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.50551$ | Modular form 31.2.a.a.1.1 | ||
2-31-1.1-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $4.52821$ | Modular form 31.2.a.a.1.2 | ||
2-31-31.10-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.0500$ | $0$ | $3.14476$ | Modular form 31.2.g.a.10.2 | |||
2-31-31.10-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.10 | $1.0$ | $1$ | ✓ | ✓ | $0.160$ | $0$ | $4.39803$ | Modular form 31.2.g.a.10.1 | |||
2-31-31.14-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.14 | $1.0$ | $1$ | ✓ | ✓ | $-0.234$ | $0$ | $2.76877$ | Modular form 31.2.g.a.14.1 | |||
2-31-31.14-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.14 | $1.0$ | $1$ | ✓ | ✓ | $0.145$ | $0$ | $5.22044$ | Modular form 31.2.g.a.14.2 | |||
2-31-31.16-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.153$ | $0$ | $2.48296$ | Modular form 31.2.d.a.16.1 | |||
2-31-31.18-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.18 | $1.0$ | $1$ | ✓ | ✓ | $-0.358$ | $0$ | $1.25116$ | Modular form 31.2.g.a.18.1 | |||
2-31-31.18-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.18 | $1.0$ | $1$ | ✓ | ✓ | $0.0226$ | $0$ | $4.02894$ | Modular form 31.2.g.a.18.2 | |||
2-31-31.19-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.0226$ | $0$ | $4.01676$ | Modular form 31.2.g.a.19.2 | |||
2-31-31.19-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.19 | $1.0$ | $1$ | ✓ | ✓ | $0.358$ | $0$ | $5.56940$ | Modular form 31.2.g.a.19.1 | |||
2-31-31.2-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.2 | $1.0$ | $1$ | ✓ | ✓ | $0.153$ | $0$ | $4.10831$ | Modular form 31.2.d.a.2.1 | |||
2-31-31.20-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.20 | $1.0$ | $1$ | ✓ | ✓ | $-0.145$ | $0$ | $3.53382$ | Modular form 31.2.g.a.20.2 | |||
2-31-31.20-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.20 | $1.0$ | $1$ | ✓ | ✓ | $0.234$ | $0$ | $5.05556$ | Modular form 31.2.g.a.20.1 | |||
2-31-31.25-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.25 | $1.0$ | $1$ | ✓ | ✓ | $-0.136$ | $0$ | $2.04312$ | Modular form 31.2.c.a.25.1 | |||
2-31-31.25-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.25 | $1.0$ | $1$ | ✓ | ✓ | $0.00865$ | $0$ | $4.10575$ | Modular form 31.2.c.a.25.2 | |||
2-31-31.28-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.28 | $1.0$ | $1$ | ✓ | ✓ | $-0.160$ | $0$ | $2.40987$ | Modular form 31.2.g.a.28.1 | |||
2-31-31.28-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.28 | $1.0$ | $1$ | ✓ | ✓ | $0.0500$ | $0$ | $4.34779$ | Modular form 31.2.g.a.28.2 | |||
2-31-31.4-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.4 | $1.0$ | $1$ | ✓ | ✓ | $0.0416$ | $0$ | $3.76198$ | Modular form 31.2.d.a.4.1 | |||
2-31-31.5-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.5 | $1.0$ | $1$ | ✓ | ✓ | $0.136$ | $0$ | $3.56314$ | Modular form 31.2.c.a.5.1 | |||
2-31-31.5-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.5 | $1.0$ | $1$ | ✓ | ✓ | $-0.00865$ | $0$ | $3.87027$ | Modular form 31.2.c.a.5.2 | |||
2-31-31.7-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.7 | $1.0$ | $1$ | ✓ | ✓ | $-0.127$ | $0$ | $3.10508$ | Modular form 31.2.g.a.7.2 | |||
2-31-31.7-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.7 | $1.0$ | $1$ | ✓ | ✓ | $0.196$ | $0$ | $4.87106$ | Modular form 31.2.g.a.7.1 | |||
2-31-31.8-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.8 | $1.0$ | $1$ | ✓ | ✓ | $-0.0416$ | $0$ | $3.46493$ | Modular form 31.2.d.a.8.1 | |||
2-31-31.9-c1-0-0 | $0.497$ | $0.247$ | $2$ | $31$ | 31.9 | $1.0$ | $1$ | ✓ | ✓ | $-0.196$ | $0$ | $2.63129$ | Modular form 31.2.g.a.9.1 | |||
2-31-31.9-c1-0-1 | $0.497$ | $0.247$ | $2$ | $31$ | 31.9 | $1.0$ | $1$ | ✓ | ✓ | $0.127$ | $0$ | $4.87636$ | Modular form 31.2.g.a.9.2 | |||
2-31-31.11-c2-0-0 | $0.919$ | $0.844$ | $2$ | $31$ | 31.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.230$ | $0$ | $1.86885$ | Modular form 31.3.h.a.11.3 | |||
2-31-31.11-c2-0-1 | $0.919$ | $0.844$ | $2$ | $31$ | 31.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.204$ | $0$ | $2.76259$ | Modular form 31.3.h.a.11.4 | |||
2-31-31.11-c2-0-2 | $0.919$ | $0.844$ | $2$ | $31$ | 31.11 | $2.0$ | $2$ | ✓ | ✓ | $0.129$ | $0$ | $3.46549$ | Modular form 31.3.h.a.11.2 | |||
2-31-31.11-c2-0-3 | $0.919$ | $0.844$ | $2$ | $31$ | 31.11 | $2.0$ | $2$ | ✓ | ✓ | $0.346$ | $0$ | $4.89865$ | Modular form 31.3.h.a.11.1 | |||
2-31-31.12-c2-0-0 | $0.919$ | $0.844$ | $2$ | $31$ | 31.12 | $2.0$ | $2$ | ✓ | ✓ | $-0.253$ | $0$ | $0.709290$ | Modular form 31.3.h.a.12.1 | |||
2-31-31.12-c2-0-1 | $0.919$ | $0.844$ | $2$ | $31$ | 31.12 | $2.0$ | $2$ | ✓ | ✓ | $-0.149$ | $0$ | $2.57296$ | Modular form 31.3.h.a.12.4 | |||
2-31-31.12-c2-0-2 | $0.919$ | $0.844$ | $2$ | $31$ | 31.12 | $2.0$ | $2$ | ✓ | ✓ | $0.218$ | $0$ | $3.70445$ | Modular form 31.3.h.a.12.2 | |||
2-31-31.12-c2-0-3 | $0.919$ | $0.844$ | $2$ | $31$ | 31.12 | $2.0$ | $2$ | ✓ | ✓ | $-0.0153$ | $0$ | $3.80007$ | Modular form 31.3.h.a.12.3 | |||
2-31-31.13-c2-0-0 | $0.919$ | $0.844$ | $2$ | $31$ | 31.13 | $2.0$ | $2$ | ✓ | ✓ | $-0.218$ | $0$ | $1.72745$ | Modular form 31.3.h.a.13.2 | |||
2-31-31.13-c2-0-1 | $0.919$ | $0.844$ | $2$ | $31$ | 31.13 | $2.0$ | $2$ | ✓ | ✓ | $0.0153$ | $0$ | $3.27003$ | Modular form 31.3.h.a.13.3 | |||
2-31-31.13-c2-0-2 | $0.919$ | $0.844$ | $2$ | $31$ | 31.13 | $2.0$ | $2$ | ✓ | ✓ | $0.253$ | $0$ | $3.33981$ | Modular form 31.3.h.a.13.1 | |||
2-31-31.13-c2-0-3 | $0.919$ | $0.844$ | $2$ | $31$ | 31.13 | $2.0$ | $2$ | ✓ | ✓ | $0.149$ | $0$ | $4.66257$ | Modular form 31.3.h.a.13.4 | |||
2-31-31.15-c2-0-0 | $0.919$ | $0.844$ | $2$ | $31$ | 31.15 | $2.0$ | $2$ | ✓ | ✓ | $0.459$ | $0$ | $0.482326$ | Modular form 31.3.f.a.15.1 | |||
2-31-31.15-c2-0-1 | $0.919$ | $0.844$ | $2$ | $31$ | 31.15 | $2.0$ | $2$ | ✓ | ✓ | $-0.243$ | $0$ | $1.52742$ | Modular form 31.3.f.a.15.3 | |||
2-31-31.15-c2-0-2 | $0.919$ | $0.844$ | $2$ | $31$ | 31.15 | $2.0$ | $2$ | ✓ | ✓ | $0.00473$ | $0$ | $2.85344$ | Modular form 31.3.f.a.15.2 | |||
2-31-31.15-c2-0-3 | $0.919$ | $0.844$ | $2$ | $31$ | 31.15 | $2.0$ | $2$ | ✓ | ✓ | $0.0835$ | $0$ | $3.87015$ | Modular form 31.3.f.a.15.4 | |||
2-31-31.15-c2-0-4 | $0.919$ | $0.844$ | $2$ | $31$ | 31.15 | $2.0$ | $2$ | ✓ | ✓ | $0.0959$ | $0$ | $4.14105$ | Modular form 31.3.f.a.15.5 | |||
2-31-31.17-c2-0-0 | $0.919$ | $0.844$ | $2$ | $31$ | 31.17 | $2.0$ | $2$ | ✓ | ✓ | $-0.346$ | $0$ | $2.01096$ | Modular form 31.3.h.a.17.1 | |||
2-31-31.17-c2-0-1 | $0.919$ | $0.844$ | $2$ | $31$ | 31.17 | $2.0$ | $2$ | ✓ | ✓ | $-0.129$ | $0$ | $2.35212$ | Modular form 31.3.h.a.17.2 | |||
2-31-31.17-c2-0-2 | $0.919$ | $0.844$ | $2$ | $31$ | 31.17 | $2.0$ | $2$ | ✓ | ✓ | $0.230$ | $0$ | $4.35630$ | Modular form 31.3.h.a.17.3 | |||
2-31-31.17-c2-0-3 | $0.919$ | $0.844$ | $2$ | $31$ | 31.17 | $2.0$ | $2$ | ✓ | ✓ | $0.204$ | $0$ | $4.44112$ | Modular form 31.3.h.a.17.4 | |||
2-31-31.21-c2-0-0 | $0.919$ | $0.844$ | $2$ | $31$ | 31.21 | $2.0$ | $2$ | ✓ | ✓ | $-0.112$ | $0$ | $3.10894$ | Modular form 31.3.h.a.21.4 | |||
2-31-31.21-c2-0-1 | $0.919$ | $0.844$ | $2$ | $31$ | 31.21 | $2.0$ | $2$ | ✓ | ✓ | $0.0316$ | $0$ | $3.20311$ | Modular form 31.3.h.a.21.3 |