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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
2-1680-420.59-c0-0-1 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.59 $$ $0.0$ $0$ $0.146$ $0$ $1.15223$ Modular form 1680.1.dp.a.479.1
2-1680-420.59-c0-0-0 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.59 $$ $0.0$ $0$ $-0.186$ $0$ $0.647353$ Modular form 1680.1.dp.b.479.1
2-1680-420.419-c0-0-9 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0.250$ $0$ $1.53453$ Modular form 1680.1.bb.h.1679.1
2-1680-420.419-c0-0-8 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0$ $0$ $1.42742$ 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-c0-0-7 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0$ $0$ $1.29888$ Artin representation 2.1680.4t3.g Artin representation 2.1680.4t3.g.a Modular form 1680.1.bb.b Modular form 1680.1.bb.b.1679.1
2-1680-420.419-c0-0-6 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $-0.0833$ $0$ $1.28403$ Modular form 1680.1.bb.g.1679.4
2-1680-420.419-c0-0-5 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $-0.250$ $0$ $1.09376$ Modular form 1680.1.bb.h.1679.4
2-1680-420.419-c0-0-4 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $-0.250$ $0$ $1.01801$ Artin representation 2.1680.8t11.d.a Modular form 1680.1.bb.f.1679.2
2-1680-420.419-c0-0-3 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $-0.250$ $0$ $0.970071$ Modular form 1680.1.bb.h.1679.2
2-1680-420.419-c0-0-2 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0$ $0$ $0.795795$ 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-c0-0-15 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0.250$ $0$ $2.28083$ Modular form 1680.1.bb.h.1679.3
2-1680-420.419-c0-0-14 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0.250$ $0$ $1.98010$ Artin representation 2.1680.8t11.c.a Modular form 1680.1.bb.e.1679.2
2-1680-420.419-c0-0-13 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0.416$ $0$ $1.74813$ Modular form 1680.1.bb.g.1679.1
2-1680-420.419-c0-0-12 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0.250$ $0$ $1.65659$ Artin representation 2.1680.8t11.d.b Modular form 1680.1.bb.f.1679.1
2-1680-420.419-c0-0-11 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0.0833$ $0$ $1.63464$ Modular form 1680.1.bb.g.1679.3
2-1680-420.419-c0-0-10 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $0$ $0$ $1.57104$ 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-c0-0-1 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $-0.250$ $0$ $0.488499$ Artin representation 2.1680.8t11.c.b Modular form 1680.1.bb.e.1679.1
2-1680-420.419-c0-0-0 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.419 $$ $0.0$ $0$ $-0.416$ $0$ $0.220422$ Modular form 1680.1.bb.g.1679.2
2-1680-420.299-c0-0-3 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.299 $$ $0.0$ $0$ $0.186$ $0$ $1.76757$ Modular form 1680.1.dp.c.719.1
2-1680-420.299-c0-0-2 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.299 $$ $0.0$ $0$ $0.186$ $0$ $1.71109$ Modular form 1680.1.dp.b.719.1
2-1680-420.299-c0-0-1 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.299 $$ $0.0$ $0$ $-0.146$ $0$ $1.17896$ Modular form 1680.1.dp.d.719.1
2-1680-420.299-c0-0-0 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.299 $$ $0.0$ $0$ $-0.146$ $0$ $0.698838$ Modular form 1680.1.dp.a.719.1
2-1680-420.59-c0-0-3 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.59 $$ $0.0$ $0$ $0.146$ $0$ $1.90310$ Modular form 1680.1.dp.d.479.1
2-1680-420.59-c0-0-2 $0.915$ $0.838$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 420.59 $$ $0.0$ $0$ $-0.186$ $0$ $1.27075$ Modular form 1680.1.dp.c.479.1
2-1680-35.4-c1-0-44 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 35.4 $$ $1.0$ $1$ $0.407$ $0$ $1.74032$ Modular form 1680.2.di.g.529.6
2-1680-1.1-c1-0-1 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 1.1 $$ $1.0$ $1$ $0$ $0$ $0.740261$ 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-c1-0-20 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 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-c1-0-8 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 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
2-1680-20.7-c1-0-25 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 20.7 $$ $1.0$ $1$ $0.262$ $0$ $1.39198$ Modular form 1680.2.bl.c.127.3
2-1680-20.7-c1-0-26 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 20.7 $$ $1.0$ $1$ $0.338$ $0$ $1.51316$ Modular form 1680.2.bl.a.127.2
2-1680-20.7-c1-0-27 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 20.7 $$ $1.0$ $1$ $0.359$ $0$ $1.51999$ Modular form 1680.2.bl.e.127.5
2-1680-20.7-c1-0-28 $3.66$ $13.4$ $2$ $2^{4} \cdot 3 \cdot 5 \cdot 7$ 20.7 $$ $1.0$ $1$ $0.377$ $0$ $1.52233$ Modular form 1680.2.bl.e.127.4
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