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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-31e2-31.11-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.11 | $0.0$ | 0 | ✓ | ✓ | $0.0467$ | $0$ | $1.16416$ | Modular form 961.1.h.a.414.1 | |||
2-31e2-31.12-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.12 | $0.0$ | 0 | ✓ | ✓ | $-0.0251$ | $0$ | $1.82322$ | Modular form 961.1.h.a.229.1 | |||
2-31e2-31.13-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.13 | $0.0$ | 0 | ✓ | ✓ | $0.0251$ | $0$ | $1.54376$ | Modular form 961.1.h.a.726.1 | |||
2-31e2-31.15-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.15 | $0.0$ | 0 | ✓ | ✓ | $-0.102$ | $0$ | $0.990534$ | Artin representation 2.961.15t4.a.a Modular form 961.1.f.a.573.1 | |||
2-31e2-31.17-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.17 | $0.0$ | 0 | ✓ | ✓ | $-0.0467$ | $0$ | $1.81280$ | Modular form 961.1.h.a.513.1 | |||
2-31e2-31.21-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.21 | $0.0$ | 0 | ✓ | ✓ | $-0.133$ | $0$ | $1.62630$ | Modular form 961.1.h.a.145.1 | |||
2-31e2-31.22-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.22 | $0.0$ | 0 | ✓ | ✓ | $-0.399$ | $0$ | $1.00061$ | Modular form 961.1.h.a.115.1 | |||
2-31e2-31.23-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.23 | $0.0$ | 0 | ✓ | ✓ | $-0.456$ | $0$ | $0.677413$ | Artin representation 2.961.15t4.a.c Modular form 961.1.f.a.333.1 | |||
2-31e2-31.24-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.24 | $0.0$ | 0 | ✓ | ✓ | $0.399$ | $0$ | $2.27960$ | Modular form 961.1.h.a.117.1 | |||
2-31e2-31.26-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.26 | $0.0$ | 0 | ✓ | ✓ | $0.0638$ | $0$ | $1.39847$ | Artin representation 2.961.6t5.a.b Modular form 961.1.e.a.522.1 | |||
2-31e2-31.27-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.27 | $0.0$ | 0 | ✓ | ✓ | $0.456$ | $0$ | $2.18994$ | Artin representation 2.961.15t4.a.b Modular form 961.1.f.a.430.1 | |||
2-31e2-31.29-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.29 | $0.0$ | 0 | ✓ | ✓ | $0.102$ | $0$ | $2.12279$ | Artin representation 2.961.15t4.a.d Modular form 961.1.f.a.587.1 | |||
2-31e2-31.3-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.3 | $0.0$ | 0 | ✓ | ✓ | $0.133$ | $0$ | $1.91889$ | Modular form 961.1.h.a.623.1 | |||
2-31e2-31.6-c0-0-0 | $0.692$ | $0.479$ | $2$ | $31^{2}$ | 31.6 | $0.0$ | 0 | ✓ | ✓ | $-0.0638$ | $0$ | $1.01023$ | Artin representation 2.961.6t5.a.a Modular form 961.1.e.a.440.1 | |||
2-31e2-1.1-c1-0-0 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.229117$ | Modular form 961.2.a.k.1.1 | ||
2-31e2-1.1-c1-0-1 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.247996$ | Modular form 961.2.a.h.1.1 | ||
2-31e2-1.1-c1-0-10 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.842638$ | Modular form 961.2.a.e.1.1 | ||
2-31e2-1.1-c1-0-11 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.897500$ | Modular form 961.2.a.c.1.2 | ||
2-31e2-1.1-c1-0-12 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.911767$ | Modular form 961.2.a.k.1.5 | ||
2-31e2-1.1-c1-0-13 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $0.969818$ | Modular form 961.2.a.l.1.5 | ||
2-31e2-1.1-c1-0-14 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.00211$ | Modular form 961.2.a.g.1.1 | ||
2-31e2-1.1-c1-0-15 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.01784$ | Modular form 961.2.a.k.1.2 | ||
2-31e2-1.1-c1-0-16 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.06112$ | Modular form 961.2.a.j.1.2 | ||
2-31e2-1.1-c1-0-17 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.06162$ | Modular form 961.2.a.k.1.7 | ||
2-31e2-1.1-c1-0-18 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.12739$ | Modular form 961.2.a.h.1.2 | ||
2-31e2-1.1-c1-0-19 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.14851$ | Modular form 961.2.a.l.1.9 | ||
2-31e2-1.1-c1-0-2 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.359109$ | Modular form 961.2.a.g.1.2 | ||
2-31e2-1.1-c1-0-20 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.21643$ | Modular form 961.2.a.l.1.1 | ||
2-31e2-1.1-c1-0-21 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.22757$ | Modular form 961.2.a.k.1.11 | ||
2-31e2-1.1-c1-0-22 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.24713$ | Modular form 961.2.a.j.1.3 | ||
2-31e2-1.1-c1-0-23 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.33711$ | Modular form 961.2.a.a.1.1 | ||
2-31e2-1.1-c1-0-24 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.33823$ | Modular form 961.2.a.l.1.3 | ||
2-31e2-1.1-c1-0-25 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.34927$ | Modular form 961.2.a.c.1.1 | ||
2-31e2-1.1-c1-0-26 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.35101$ | Modular form 961.2.a.k.1.6 | ||
2-31e2-1.1-c1-0-27 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.36466$ | Modular form 961.2.a.l.1.7 | ||
2-31e2-1.1-c1-0-28 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.39443$ | Modular form 961.2.a.d.1.1 | ||
2-31e2-1.1-c1-0-29 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.41559$ | Modular form 961.2.a.b.1.2 | ||
2-31e2-1.1-c1-0-3 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.489589$ | Modular form 961.2.a.k.1.4 | ||
2-31e2-1.1-c1-0-30 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.45835$ | Modular form 961.2.a.k.1.9 | ||
2-31e2-1.1-c1-0-31 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.46754$ | Modular form 961.2.a.e.1.2 | ||
2-31e2-1.1-c1-0-32 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.53075$ | Modular form 961.2.a.j.1.4 | ||
2-31e2-1.1-c1-0-33 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.53693$ | Modular form 961.2.a.i.1.4 | ||
2-31e2-1.1-c1-0-34 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.54001$ | Modular form 961.2.a.l.1.11 | ||
2-31e2-1.1-c1-0-35 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.58931$ | Modular form 961.2.a.k.1.8 | ||
2-31e2-1.1-c1-0-36 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.59329$ | Modular form 961.2.a.l.1.2 | ||
2-31e2-1.1-c1-0-37 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.71465$ | Modular form 961.2.a.h.1.3 | ||
2-31e2-1.1-c1-0-38 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.73246$ | Modular form 961.2.a.l.1.6 | ||
2-31e2-1.1-c1-0-39 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.74651$ | Modular form 961.2.a.i.1.3 | ||
2-31e2-1.1-c1-0-4 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.510445$ | Modular form 961.2.a.f.1.1 | ||
2-31e2-1.1-c1-0-40 | $2.77$ | $7.67$ | $2$ | $31^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.75410$ | Modular form 961.2.a.l.1.8 |