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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
2-2075-415.414-c0-0-0 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $0.323$ $0$ $0.311235$ Modular form 2075.1.d.a.2074.2
2-2075-415.414-c0-0-1 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $-0.323$ $0$ $0.547790$ Modular form 2075.1.d.b.2074.2
2-2075-415.414-c0-0-2 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $-0.0737$ $0$ $0.663273$ Modular form 2075.1.d.c.2074.1
2-2075-415.414-c0-0-3 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $-0.323$ $0$ $0.930653$ Modular form 2075.1.d.d.2074.2
2-2075-415.414-c0-0-4 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $0.0737$ $0$ $1.30811$ Modular form 2075.1.d.c.2074.2
2-2075-415.414-c0-0-5 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $0.323$ $0$ $1.46787$ Modular form 2075.1.d.b.2074.1
2-2075-415.414-c0-0-6 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $0.323$ $0$ $1.65145$ Modular form 2075.1.d.d.2074.1
2-2075-415.414-c0-0-7 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 415.414 $0.0$ 0 ✓ ✓ $-0.323$ $0$ $2.56324$ Modular form 2075.1.d.a.2074.1
2-2075-83.82-c0-0-0 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ $0.250$ $0$ $0.170149$ Modular form 2075.1.c.h.1576.4
2-2075-83.82-c0-0-1 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ $-0.250$ $0$ $0.967069$ Modular form 2075.1.c.h.1576.3
2-2075-83.82-c0-0-10 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ $-0.250$ $0$ $2.27545$ Modular form 2075.1.c.h.1576.1
2-2075-83.82-c0-0-2 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $0.991804$ Artin representation 2.2075.3t2.c Artin representation 2.2075.3t2.c.a Modular form 2075.1.c.b Modular form 2075.1.c.b.1576.1
2-2075-83.82-c0-0-3 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.09285$ Artin representation 2.2075.6t3.d Artin representation 2.2075.6t3.d.a Modular form 2075.1.c.a Modular form 2075.1.c.a.1576.1
2-2075-83.82-c0-0-4 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.45895$ Artin representation 2.2075.3t2.b Artin representation 2.2075.3t2.b.a Modular form 2075.1.c.c Modular form 2075.1.c.c.1576.1
2-2075-83.82-c0-0-5 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.46395$ Artin representation 2.2075.6t3.e Artin representation 2.2075.6t3.e.a Modular form 2075.1.c.d Modular form 2075.1.c.d.1576.1
2-2075-83.82-c0-0-6 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.66038$ Artin representation 2.2075.6t3.c Artin representation 2.2075.6t3.c.a Modular form 2075.1.c.e Modular form 2075.1.c.e.1576.1
2-2075-83.82-c0-0-7 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ $0.250$ $0$ $1.69855$ Modular form 2075.1.c.h.1576.2
2-2075-83.82-c0-0-8 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.71117$ Artin representation 2.2075.6t3.b Artin representation 2.2075.6t3.b.a Modular form 2075.1.c.f Modular form 2075.1.c.f.1576.1
2-2075-83.82-c0-0-9 $1.01$ $1.03$ $2$ $5^{2} \cdot 83$ 83.82 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.93811$ Artin representation 2.2075.3t2.a Artin representation 2.2075.3t2.a.a Modular form 2075.1.c.g Modular form 2075.1.c.g.1576.1
2-2075-1.1-c1-0-0 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.0409101$ Modular form 2075.2.a.m.1.8
2-2075-1.1-c1-0-1 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.104274$ Modular form 2075.2.a.l.1.11
2-2075-1.1-c1-0-10 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.434607$ Modular form 2075.2.a.l.1.10
2-2075-1.1-c1-0-100 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.66388$ Modular form 2075.2.a.i.1.2
2-2075-1.1-c1-0-101 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.68831$ Modular form 2075.2.a.l.1.15
2-2075-1.1-c1-0-102 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.70882$ Modular form 2075.2.a.o.1.19
2-2075-1.1-c1-0-103 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.71660$ Modular form 2075.2.a.n.1.3
2-2075-1.1-c1-0-104 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.74201$ Modular form 2075.2.a.o.1.20
2-2075-1.1-c1-0-105 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.74868$ Modular form 2075.2.a.m.1.18
2-2075-1.1-c1-0-106 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.75540$ Modular form 2075.2.a.n.1.7
2-2075-1.1-c1-0-107 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.75909$ Modular form 2075.2.a.j.1.4
2-2075-1.1-c1-0-108 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.76723$ Modular form 2075.2.a.o.1.17
2-2075-1.1-c1-0-109 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.76851$ Modular form 2075.2.a.n.1.13
2-2075-1.1-c1-0-11 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.462746$ Modular form 2075.2.a.o.1.3
2-2075-1.1-c1-0-110 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.80025$ Modular form 2075.2.a.m.1.17
2-2075-1.1-c1-0-111 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.84936$ Modular form 2075.2.a.h.1.7
2-2075-1.1-c1-0-112 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.85906$ Modular form 2075.2.a.g.1.6
2-2075-1.1-c1-0-113 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.86977$ Modular form 2075.2.a.e.1.2
2-2075-1.1-c1-0-114 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.87409$ Modular form 2075.2.a.i.1.7
2-2075-1.1-c1-0-115 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.88942$ Modular form 2075.2.a.k.1.9
2-2075-1.1-c1-0-116 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.89347$ Modular form 2075.2.a.n.1.19
2-2075-1.1-c1-0-117 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.89959$ Modular form 2075.2.a.n.1.11
2-2075-1.1-c1-0-118 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.93611$ Modular form 2075.2.a.f.1.4
2-2075-1.1-c1-0-119 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.99572$ Modular form 2075.2.a.l.1.17
2-2075-1.1-c1-0-12 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.484152$ Modular form 2075.2.a.m.1.5
2-2075-1.1-c1-0-120 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.01941$ Modular form 2075.2.a.n.1.17
2-2075-1.1-c1-0-121 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.05933$ Modular form 2075.2.a.i.1.6
2-2075-1.1-c1-0-122 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.16866$ Modular form 2075.2.a.j.1.8
2-2075-1.1-c1-0-123 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.21699$ Modular form 2075.2.a.f.1.6
2-2075-1.1-c1-0-124 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.21700$ Modular form 2075.2.a.n.1.15
2-2075-1.1-c1-0-125 $4.07$ $16.5$ $2$ $5^{2} \cdot 83$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.21759$ Modular form 2075.2.a.j.1.6
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