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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
2-567-63.11-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.11 $0.0$ 0 ✓ ✓ $-0.0454$ $0$ $1.63236$ Artin representation 2.567.6t5.c.a Modular form 567.1.j.a.431.1
2-567-63.13-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.13 $0.0$ 0 ✓ ✓ $0.138$ $0$ $1.11999$ Modular form 567.1.l.d.433.1
2-567-63.13-c0-0-1 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.13 $0.0$ 0 ✓ ✓ $-0.361$ $0$ $1.54709$ Modular form 567.1.l.d.433.2
2-567-63.13-c0-0-2 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.13 $0.0$ 0 ✓ ✓ $0.0555$ $0$ $1.86503$ Modular form 567.1.l.b.433.1
2-567-63.13-c0-0-3 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.13 $0.0$ 0 ✓ ✓ $-0.111$ $0$ $1.89819$ Artin representation 2.567.6t5.d.a Modular form 567.1.l.c.433.1
2-567-63.13-c0-0-4 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.13 $0.0$ 0 ✓ ✓ $0.388$ $0$ $2.35058$ Modular form 567.1.l.a.433.1
2-567-63.2-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.2 $0.0$ 0 ✓ ✓ $-0.232$ $0$ $0.950768$ Artin representation 2.567.6t5.b.b Modular form 567.1.n.a.107.1
2-567-63.23-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.23 $0.0$ 0 ✓ ✓ $0.0454$ $0$ $2.02089$ Artin representation 2.567.6t5.c.b Modular form 567.1.j.a.296.1
2-567-63.31-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.31 $0.0$ 0 ✓ ✓ $-0.131$ $0$ $1.43296$ Modular form 567.1.k.a.514.1
2-567-63.32-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.32 $0.0$ 0 ✓ ✓ $0.232$ $0$ $2.25104$ Artin representation 2.567.6t5.b.a Modular form 567.1.n.a.53.1
2-567-63.34-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.34 $0.0$ 0 ✓ ✓ $-0.388$ $0$ $0.866612$ Modular form 567.1.l.a.55.1
2-567-63.34-c0-0-1 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.34 $0.0$ 0 ✓ ✓ $-0.138$ $0$ $1.65885$ Modular form 567.1.l.d.55.1
2-567-63.34-c0-0-2 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.34 $0.0$ 0 ✓ ✓ $-0.0555$ $0$ $1.67920$ Modular form 567.1.l.b.55.1
2-567-63.34-c0-0-3 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.34 $0.0$ 0 ✓ ✓ $0.111$ $0$ $1.80881$ Artin representation 2.567.6t5.d.b Modular form 567.1.l.c.55.1
2-567-63.34-c0-0-4 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.34 $0.0$ 0 ✓ ✓ $0.361$ $0$ $2.71344$ Modular form 567.1.l.d.55.2
2-567-63.40-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.40 $0.0$ 0 ✓ ✓ $-0.0909$ $0$ $1.20133$ Modular form 567.1.t.a.271.1
2-567-63.52-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.52 $0.0$ 0 ✓ ✓ $0.0909$ $0$ $1.72107$ Modular form 567.1.t.a.136.1
2-567-63.61-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 63.61 $0.0$ 0 ✓ ✓ $0.131$ $0$ $2.24789$ Modular form 567.1.k.a.460.1
2-567-7.6-c0-0-0 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 7.6 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.17964$ Modular form 567.1.d.c.244.1
2-567-7.6-c0-0-1 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 7.6 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.30083$ Artin representation 2.567.3t2.b Artin representation 2.567.3t2.b.a Modular form 567.1.d.a Modular form 567.1.d.a.244.1
2-567-7.6-c0-0-2 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 7.6 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.91754$ Artin representation 2.567.6t3.a Artin representation 2.567.6t3.a.a Modular form 567.1.d.b Modular form 567.1.d.b.244.1
2-567-7.6-c0-0-3 $0.531$ $0.282$ $2$ $3^{4} \cdot 7$ 7.6 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.52899$ Modular form 567.1.d.c.244.2
2-567-1.1-c1-0-0 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.674787$ Modular form 567.2.a.i.1.2
2-567-1.1-c1-0-1 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.692476$ Modular form 567.2.a.e.1.1
2-567-1.1-c1-0-10 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.56246$ Modular form 567.2.a.h.1.2
2-567-1.1-c1-0-11 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.56542$ Modular form 567.2.a.d.1.1
2-567-1.1-c1-0-12 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.67718$ Modular form 567.2.a.c.1.2
2-567-1.1-c1-0-13 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.78483$ Modular form 567.2.a.i.1.4
2-567-1.1-c1-0-14 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.85017$ Modular form 567.2.a.c.1.1
2-567-1.1-c1-0-15 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.89538$ Elliptic curve 567.a Modular form 567.2.a.a Modular form 567.2.a.a.1.1
2-567-1.1-c1-0-16 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.92189$ Modular form 567.2.a.h.1.3
2-567-1.1-c1-0-17 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.97327$ Modular form 567.2.a.e.1.3
2-567-1.1-c1-0-18 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.07072$ Modular form 567.2.a.d.1.2
2-567-1.1-c1-0-19 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.08165$ Modular form 567.2.a.f.1.3
2-567-1.1-c1-0-2 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.836137$ Modular form 567.2.a.i.1.1
2-567-1.1-c1-0-20 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.10742$ Modular form 567.2.a.g.1.3
2-567-1.1-c1-0-21 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.38454$ Modular form 567.2.a.c.1.3
2-567-1.1-c1-0-22 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.44493$ Elliptic curve 567.b Modular form 567.2.a.b Modular form 567.2.a.b.1.1
2-567-1.1-c1-0-23 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.78746$ Modular form 567.2.a.d.1.3
2-567-1.1-c1-0-3 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01347$ Modular form 567.2.a.g.1.2
2-567-1.1-c1-0-4 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.06737$ Modular form 567.2.a.f.1.2
2-567-1.1-c1-0-5 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.07966$ Modular form 567.2.a.h.1.1
2-567-1.1-c1-0-6 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.13520$ Modular form 567.2.a.e.1.2
2-567-1.1-c1-0-7 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.14553$ Modular form 567.2.a.f.1.1
2-567-1.1-c1-0-8 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.19317$ Modular form 567.2.a.g.1.1
2-567-1.1-c1-0-9 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.39233$ Modular form 567.2.a.i.1.3
2-567-189.101-c1-0-0 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.188$ $0$ $0.101053$ Modular form 567.2.ba.a.143.1
2-567-189.101-c1-0-1 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.432$ $0$ $0.185815$ Modular form 567.2.ba.a.143.12
2-567-189.101-c1-0-10 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.0526$ $0$ $1.28099$ Modular form 567.2.ba.a.143.7
2-567-189.101-c1-0-11 $2.12$ $4.52$ $2$ $3^{4} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.125$ $0$ $1.31958$ Modular form 567.2.ba.a.143.6
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