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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
2-520-520.109-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.109 $0.0$ 0 ✓ ✓ $-0.171$ $0$ $1.51150$ Modular form 520.1.bo.a.109.1
2-520-520.109-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.109 $0.0$ 0 ✓ ✓ $0.328$ $0$ $2.43122$ Modular form 520.1.bo.a.109.2
2-520-520.139-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.139 $0.0$ 0 ✓ ✓ $-0.123$ $0$ $1.68817$ Artin representation 2.520.6t5.b.b Modular form 520.1.bx.a.139.1
2-520-520.139-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.139 $0.0$ 0 ✓ ✓ $0.376$ $0$ $2.80939$ Artin representation 2.520.12t18.b.a Modular form 520.1.bx.b.139.1
2-520-520.179-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.179 $0.0$ 0 ✓ ✓ $-0.331$ $0$ $0.728683$ Modular form 520.1.cd.a.179.1
2-520-520.179-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.179 $0.0$ 0 ✓ ✓ $0.168$ $0$ $2.61125$ Modular form 520.1.cd.a.179.2
2-520-520.229-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.229 $0.0$ 0 ✓ ✓ $-0.328$ $0$ $1.06454$ Modular form 520.1.bo.a.229.2
2-520-520.229-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.229 $0.0$ 0 ✓ ✓ $0.171$ $0$ $2.02078$ Modular form 520.1.bo.a.229.1
2-520-520.259-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $0.416$ $0$ $0.777360$ Modular form 520.1.b.b.259.4
2-520-520.259-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $-0.250$ $0$ $1.27353$ Artin representation 2.520.8t11.b.b Modular form 520.1.b.a.259.2
2-520-520.259-c0-0-2 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $-0.0833$ $0$ $1.29435$ Modular form 520.1.b.b.259.2
2-520-520.259-c0-0-3 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $0.250$ $0$ $1.94812$ Artin representation 2.520.8t11.b.a Modular form 520.1.b.a.259.1
2-520-520.259-c0-0-4 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $0.0833$ $0$ $2.17606$ Modular form 520.1.b.b.259.3
2-520-520.259-c0-0-5 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $-0.416$ $0$ $3.57527$ Modular form 520.1.b.b.259.1
2-520-520.419-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.419 $0.0$ 0 ✓ ✓ $-0.376$ $0$ $0.943032$ Artin representation 2.520.12t18.b.b Modular form 520.1.bx.b.419.1
2-520-520.419-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.419 $0.0$ 0 ✓ ✓ $0.123$ $0$ $1.59941$ Artin representation 2.520.6t5.b.a Modular form 520.1.bx.a.419.1
2-520-520.459-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.459 $0.0$ 0 ✓ ✓ $-0.168$ $0$ $1.82687$ Modular form 520.1.cd.a.459.2
2-520-520.459-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.459 $0.0$ 0 ✓ ✓ $0.331$ $0$ $2.15120$ Modular form 520.1.cd.a.459.1
2-520-520.493-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.493 $0.0$ 0 ✓ ✓ $-0.286$ $0$ $0.926551$ Modular form 520.1.bg.a.493.1
2-520-520.493-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.493 $0.0$ 0 ✓ ✓ $0.213$ $0$ $2.59725$ Modular form 520.1.bg.a.493.2
2-520-520.77-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.77 $0.0$ 0 ✓ ✓ $-0.213$ $0$ $1.74003$ Modular form 520.1.bg.a.77.2
2-520-520.77-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.77 $0.0$ 0 ✓ ✓ $0.286$ $0$ $1.89624$ Modular form 520.1.bg.a.77.1
2-520-1.1-c1-0-0 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.723014$ Modular form 520.2.a.e.1.1
2-520-1.1-c1-0-1 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01665$ Modular form 520.2.a.f.1.1
2-520-1.1-c1-0-10 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.33964$ Elliptic curve 520.a Modular form 520.2.a.a Modular form 520.2.a.a.1.1
2-520-1.1-c1-0-11 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.48379$ Modular form 520.2.a.d.1.2
2-520-1.1-c1-0-2 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.02731$ Modular form 520.2.a.g.1.1
2-520-1.1-c1-0-3 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.38230$ Modular form 520.2.a.e.1.2
2-520-1.1-c1-0-4 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.63546$ Elliptic curve 520.b Modular form 520.2.a.b Modular form 520.2.a.b.1.1
2-520-1.1-c1-0-5 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.73464$ Modular form 520.2.a.g.1.2
2-520-1.1-c1-0-6 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.74096$ Modular form 520.2.a.c.1.1
2-520-1.1-c1-0-7 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.80293$ Modular form 520.2.a.f.1.2
2-520-1.1-c1-0-8 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.81929$ Modular form 520.2.a.d.1.1
2-520-1.1-c1-0-9 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.30123$ Modular form 520.2.a.c.1.2
2-520-104.101-c1-0-0 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.392$ $0$ $0.154193$ Modular form 520.2.ca.a.101.20
2-520-104.101-c1-0-1 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.250$ $0$ $0.216180$ Modular form 520.2.ca.b.101.14
2-520-104.101-c1-0-10 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.0650$ $0$ $0.641344$ Modular form 520.2.ca.a.101.4
2-520-104.101-c1-0-11 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.421$ $0$ $0.645688$ Modular form 520.2.ca.b.101.23
2-520-104.101-c1-0-12 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.102$ $0$ $0.694945$ Modular form 520.2.ca.a.101.8
2-520-104.101-c1-0-13 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.0375$ $0$ $0.704827$ Modular form 520.2.ca.b.101.10
2-520-104.101-c1-0-14 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.237$ $0$ $0.764709$ Modular form 520.2.ca.b.101.5
2-520-104.101-c1-0-15 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.387$ $0$ $0.843136$ Modular form 520.2.ca.a.101.10
2-520-104.101-c1-0-16 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.0188$ $0$ $0.858764$ Modular form 520.2.ca.a.101.17
2-520-104.101-c1-0-17 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.100$ $0$ $0.882103$ Modular form 520.2.ca.b.101.7
2-520-104.101-c1-0-18 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.411$ $0$ $0.886018$ Modular form 520.2.ca.b.101.18
2-520-104.101-c1-0-19 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.192$ $0$ $0.997444$ Modular form 520.2.ca.a.101.28
2-520-104.101-c1-0-2 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.314$ $0$ $0.238500$ Modular form 520.2.ca.a.101.3
2-520-104.101-c1-0-20 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.0156$ $0$ $1.07080$ Modular form 520.2.ca.b.101.6
2-520-104.101-c1-0-21 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.182$ $0$ $1.13420$ Modular form 520.2.ca.b.101.28
2-520-104.101-c1-0-22 $2.03$ $4.15$ $2$ $2^{3} \cdot 5 \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.271$ $0$ $1.16230$ Modular form 520.2.ca.b.101.20
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