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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-1680-420.299-c0-0-0 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.299 | $0.0$ | 0 | ✓ | ✓ | $-0.146$ | $0$ | $0.698838$ | Modular form 1680.1.dp.a.719.1 | |||
| 2-1680-420.299-c0-0-1 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.299 | $0.0$ | 0 | ✓ | ✓ | $-0.146$ | $0$ | $1.17896$ | Modular form 1680.1.dp.d.719.1 | |||
| 2-1680-420.299-c0-0-2 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.299 | $0.0$ | 0 | ✓ | ✓ | $0.186$ | $0$ | $1.71109$ | Modular form 1680.1.dp.b.719.1 | |||
| 2-1680-420.299-c0-0-3 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.299 | $0.0$ | 0 | ✓ | ✓ | $0.186$ | $0$ | $1.76757$ | Modular form 1680.1.dp.c.719.1 | |||
| 2-1680-420.419-c0-0-0 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $-0.416$ | $0$ | $0.220422$ | Modular form 1680.1.bb.g.1679.2 | |||
| 2-1680-420.419-c0-0-1 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $-0.250$ | $0$ | $0.488499$ | Artin representation 2.1680.8t11.c.b Modular form 1680.1.bb.e.1679.1 | |||
| 2-1680-420.419-c0-0-10 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.57104$ | Artin representation 2.1680.4t3.h Artin representation 2.1680.4t3.h.a Modular form 1680.1.bb.d Modular form 1680.1.bb.d.1679.1 | |
| 2-1680-420.419-c0-0-11 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $0.0833$ | $0$ | $1.63464$ | Modular form 1680.1.bb.g.1679.3 | |||
| 2-1680-420.419-c0-0-12 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $0.250$ | $0$ | $1.65659$ | Artin representation 2.1680.8t11.d.b Modular form 1680.1.bb.f.1679.1 | |||
| 2-1680-420.419-c0-0-13 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $0.416$ | $0$ | $1.74813$ | Modular form 1680.1.bb.g.1679.1 | |||
| 2-1680-420.419-c0-0-14 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $0.250$ | $0$ | $1.98010$ | Artin representation 2.1680.8t11.c.a Modular form 1680.1.bb.e.1679.2 | |||
| 2-1680-420.419-c0-0-15 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $0.250$ | $0$ | $2.28083$ | Modular form 1680.1.bb.h.1679.3 | |||
| 2-1680-420.419-c0-0-2 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.795795$ | Artin representation 2.1680.4t3.e Artin representation 2.1680.4t3.e.a Modular form 1680.1.bb.a Modular form 1680.1.bb.a.1679.1 | |
| 2-1680-420.419-c0-0-3 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $-0.250$ | $0$ | $0.970071$ | Modular form 1680.1.bb.h.1679.2 | |||
| 2-1680-420.419-c0-0-4 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $-0.250$ | $0$ | $1.01801$ | Artin representation 2.1680.8t11.d.a Modular form 1680.1.bb.f.1679.2 | |||
| 2-1680-420.419-c0-0-5 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $-0.250$ | $0$ | $1.09376$ | Modular form 1680.1.bb.h.1679.4 | |||
| 2-1680-420.419-c0-0-6 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $-0.0833$ | $0$ | $1.28403$ | Modular form 1680.1.bb.g.1679.4 | |||
| 2-1680-420.419-c0-0-7 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.29888$ | Artin representation 2.1680.4t3.g Artin representation 2.1680.4t3.g.a Modular form 1680.1.bb.b Modular form 1680.1.bb.b.1679.1 | |
| 2-1680-420.419-c0-0-8 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.42742$ | Artin representation 2.1680.4t3.f Artin representation 2.1680.4t3.f.a Modular form 1680.1.bb.c Modular form 1680.1.bb.c.1679.1 | |
| 2-1680-420.419-c0-0-9 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.419 | $0.0$ | 0 | ✓ | ✓ | $0.250$ | $0$ | $1.53453$ | Modular form 1680.1.bb.h.1679.1 | |||
| 2-1680-420.59-c0-0-0 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.59 | $0.0$ | 0 | ✓ | ✓ | $-0.186$ | $0$ | $0.647353$ | Modular form 1680.1.dp.b.479.1 | |||
| 2-1680-420.59-c0-0-1 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.59 | $0.0$ | 0 | ✓ | ✓ | $0.146$ | $0$ | $1.15223$ | Modular form 1680.1.dp.a.479.1 | |||
| 2-1680-420.59-c0-0-2 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.59 | $0.0$ | 0 | ✓ | ✓ | $-0.186$ | $0$ | $1.27075$ | Modular form 1680.1.dp.c.479.1 | |||
| 2-1680-420.59-c0-0-3 | $0.915$ | $0.838$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 420.59 | $0.0$ | 0 | ✓ | ✓ | $0.146$ | $0$ | $1.90310$ | Modular form 1680.1.dp.d.479.1 | |||
| 2-1680-1.1-c1-0-0 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.632767$ | Elliptic curve 1680.a Modular form 1680.2.a.a Modular form 1680.2.a.a.1.1 | |
| 2-1680-1.1-c1-0-1 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.740261$ | Elliptic curve 1680.b Modular form 1680.2.a.b Modular form 1680.2.a.b.1.1 | |
| 2-1680-1.1-c1-0-10 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.03754$ | Elliptic curve 1680.q Modular form 1680.2.a.q Modular form 1680.2.a.q.1.1 | |
| 2-1680-1.1-c1-0-11 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.04831$ | Elliptic curve 1680.n Modular form 1680.2.a.n Modular form 1680.2.a.n.1.1 | |
| 2-1680-1.1-c1-0-12 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.05635$ | Elliptic curve 1680.o Modular form 1680.2.a.o Modular form 1680.2.a.o.1.1 | |
| 2-1680-1.1-c1-0-13 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.14962$ | Elliptic curve 1680.r Modular form 1680.2.a.r Modular form 1680.2.a.r.1.1 | |
| 2-1680-1.1-c1-0-14 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.19019$ | Elliptic curve 1680.s Modular form 1680.2.a.s Modular form 1680.2.a.s.1.1 | |
| 2-1680-1.1-c1-0-15 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.22215$ | Elliptic curve 1680.t Modular form 1680.2.a.t Modular form 1680.2.a.t.1.1 | |
| 2-1680-1.1-c1-0-16 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.50269$ | Elliptic curve 1680.c Modular form 1680.2.a.c Modular form 1680.2.a.c.1.1 | |
| 2-1680-1.1-c1-0-17 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.63265$ | Elliptic curve 1680.f Modular form 1680.2.a.f Modular form 1680.2.a.f.1.1 | |
| 2-1680-1.1-c1-0-18 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.65590$ | Elliptic curve 1680.g Modular form 1680.2.a.g Modular form 1680.2.a.g.1.1 | |
| 2-1680-1.1-c1-0-19 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.69445$ | Elliptic curve 1680.h Modular form 1680.2.a.h Modular form 1680.2.a.h.1.1 | |
| 2-1680-1.1-c1-0-2 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.808674$ | Modular form 1680.2.a.u.1.1 | ||
| 2-1680-1.1-c1-0-20 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.82209$ | Modular form 1680.2.a.v.1.1 | ||
| 2-1680-1.1-c1-0-21 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.87638$ | Modular form 1680.2.a.v.1.2 | ||
| 2-1680-1.1-c1-0-22 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.91837$ | Elliptic curve 1680.m Modular form 1680.2.a.m Modular form 1680.2.a.m.1.1 | |
| 2-1680-1.1-c1-0-23 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.09203$ | Elliptic curve 1680.p Modular form 1680.2.a.p Modular form 1680.2.a.p.1.1 | |
| 2-1680-1.1-c1-0-3 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.825713$ | Elliptic curve 1680.e Modular form 1680.2.a.e Modular form 1680.2.a.e.1.1 | |
| 2-1680-1.1-c1-0-4 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.849806$ | Elliptic curve 1680.d Modular form 1680.2.a.d Modular form 1680.2.a.d.1.1 | |
| 2-1680-1.1-c1-0-5 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.959800$ | Elliptic curve 1680.i Modular form 1680.2.a.i Modular form 1680.2.a.i.1.1 | |
| 2-1680-1.1-c1-0-6 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.965500$ | Elliptic curve 1680.k Modular form 1680.2.a.k Modular form 1680.2.a.k.1.1 | |
| 2-1680-1.1-c1-0-7 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.976768$ | Modular form 1680.2.a.u.1.2 | ||
| 2-1680-1.1-c1-0-8 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.991396$ | Elliptic curve 1680.j Modular form 1680.2.a.j Modular form 1680.2.a.j.1.1 | |
| 2-1680-1.1-c1-0-9 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.02197$ | Elliptic curve 1680.l Modular form 1680.2.a.l Modular form 1680.2.a.l.1.1 | |
| 2-1680-105.104-c1-0-0 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 105.104 | $1.0$ | $1$ | ✓ | ✓ | $0.283$ | $0$ | $0.00987547$ | Modular form 1680.2.k.i.209.12 | |||
| 2-1680-105.104-c1-0-1 | $3.66$ | $13.4$ | $2$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | 105.104 | $1.0$ | $1$ | ✓ | ✓ | $-0.241$ | $0$ | $0.0134894$ | Modular form 1680.2.k.g.209.1 |