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Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
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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
2-800-100.11-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.11 $0.0$ 0 ✓ ✓ $-0.145$ $0$ $0.724105$ Modular form 800.1.bh.a.511.1
2-800-100.11-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.11 $0.0$ 0 ✓ ✓ $0.105$ $0$ $2.07942$ Modular form 800.1.bh.a.511.2
2-800-100.31-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.31 $0.0$ 0 ✓ ✓ $0.265$ $0$ $1.99189$ Modular form 800.1.bh.a.31.1
2-800-100.31-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.31 $0.0$ 0 ✓ ✓ $0.0150$ $0$ $2.01518$ Modular form 800.1.bh.a.31.2
2-800-100.71-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.71 $0.0$ 0 ✓ ✓ $-0.265$ $0$ $0.981773$ Modular form 800.1.bh.a.671.1
2-800-100.71-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.71 $0.0$ 0 ✓ ✓ $-0.0150$ $0$ $1.48160$ Modular form 800.1.bh.a.671.2
2-800-100.91-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.91 $0.0$ 0 ✓ ✓ $-0.105$ $0$ $1.26407$ Modular form 800.1.bh.a.191.2
2-800-100.91-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 100.91 $0.0$ 0 ✓ ✓ $0.145$ $0$ $1.50269$ Modular form 800.1.bh.a.191.1
2-800-25.12-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.12 $0.0$ 0 ✓ ✓ $0.195$ $0$ $1.87574$ Modular form 800.1.bo.a.737.1
2-800-25.13-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.13 $0.0$ 0 ✓ ✓ $-0.0550$ $0$ $1.47999$ Modular form 800.1.bo.a.513.1
2-800-25.17-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.17 $0.0$ 0 ✓ ✓ $-0.135$ $0$ $1.10826$ Modular form 800.1.bo.a.417.1
2-800-25.2-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.2 $0.0$ 0 ✓ ✓ $0.0550$ $0$ $1.83319$ Modular form 800.1.bo.a.577.1
2-800-25.22-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.22 $0.0$ 0 ✓ ✓ $-0.114$ $0$ $1.25083$ Modular form 800.1.bo.a.97.1
2-800-25.23-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.23 $0.0$ 0 ✓ ✓ $-0.195$ $0$ $0.848221$ Modular form 800.1.bo.a.673.1
2-800-25.3-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.3 $0.0$ 0 ✓ ✓ $0.135$ $0$ $1.78929$ Modular form 800.1.bo.a.353.1
2-800-25.8-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 25.8 $0.0$ 0 ✓ ✓ $0.114$ $0$ $1.89918$ Modular form 800.1.bo.a.33.1
2-800-40.19-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 40.19 $0.0$ 0 ✓ ✓ $-0.176$ $0$ $1.27683$ Modular form 800.1.e.a.399.2
2-800-40.19-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 40.19 $0.0$ 0 ✓ ✓ $0.176$ $0$ $1.84068$ Modular form 800.1.e.a.399.1
2-800-5.2-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 5.2 $0.0$ 0 ✓ ✓ $-0.286$ $0$ $0.912779$ Modular form 800.1.p.a.257.1
2-800-5.2-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 5.2 $0.0$ 0 ✓ ✓ $-0.0368$ $0$ $1.36895$ Artin representation 2.800.8t17.a.a Modular form 800.1.p.b.257.1
2-800-5.2-c0-0-2 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 5.2 $0.0$ 0 ✓ ✓ $0.213$ $0$ $2.37520$ Modular form 800.1.p.c.257.1
2-800-5.3-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 5.3 $0.0$ 0 ✓ ✓ $-0.213$ $0$ $1.27596$ Modular form 800.1.p.c.193.1
2-800-5.3-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 5.3 $0.0$ 0 ✓ ✓ $0.0368$ $0$ $1.58849$ Artin representation 2.800.8t17.a.b Modular form 800.1.p.b.193.1
2-800-5.3-c0-0-2 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 5.3 $0.0$ 0 ✓ ✓ $0.286$ $0$ $1.91087$ Modular form 800.1.p.a.193.1
2-800-8.3-c0-0-0 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 8.3 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.21475$ Artin representation 2.800.6t3.a Artin representation 2.800.6t3.a.a Modular form 800.1.g.a Modular form 800.1.g.a.751.1
2-800-8.3-c0-0-1 $0.631$ $0.399$ $2$ $2^{5} \cdot 5^{2}$ 8.3 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.76060$ Artin representation 2.800.6t3.d Artin representation 2.800.6t3.d.a Modular form 800.1.g.b Modular form 800.1.g.b.751.1
2-800-1.1-c1-0-0 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.669214$ Modular form 800.2.a.l.1.1
2-800-1.1-c1-0-1 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.681362$ Modular form 800.2.a.k.1.1
2-800-1.1-c1-0-10 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.56449$ Modular form 800.2.a.k.1.2
2-800-1.1-c1-0-11 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.64894$ Modular form 800.2.a.l.1.2
2-800-1.1-c1-0-12 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.67669$ Modular form 800.2.a.n.1.2
2-800-1.1-c1-0-13 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.69107$ Elliptic curve 800.a Modular form 800.2.a.a Modular form 800.2.a.a.1.1
2-800-1.1-c1-0-14 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.93887$ Elliptic curve 800.b Modular form 800.2.a.b Modular form 800.2.a.b.1.1
2-800-1.1-c1-0-15 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.12458$ Elliptic curve 800.d Modular form 800.2.a.d Modular form 800.2.a.d.1.1
2-800-1.1-c1-0-16 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.12852$ Elliptic curve 800.e Modular form 800.2.a.e Modular form 800.2.a.e.1.1
2-800-1.1-c1-0-17 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.29274$ Modular form 800.2.a.j.1.2
2-800-1.1-c1-0-18 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.36178$ Elliptic curve 800.g Modular form 800.2.a.g Modular form 800.2.a.g.1.1
2-800-1.1-c1-0-2 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.835249$ Modular form 800.2.a.m.1.1
2-800-1.1-c1-0-3 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.05700$ Elliptic curve 800.c Modular form 800.2.a.c Modular form 800.2.a.c.1.1
2-800-1.1-c1-0-4 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.09831$ Elliptic curve 800.f Modular form 800.2.a.f Modular form 800.2.a.f.1.1
2-800-1.1-c1-0-5 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.10328$ Modular form 800.2.a.n.1.1
2-800-1.1-c1-0-6 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.19737$ Elliptic curve 800.h Modular form 800.2.a.h Modular form 800.2.a.h.1.1
2-800-1.1-c1-0-7 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.43961$ Elliptic curve 800.i Modular form 800.2.a.i Modular form 800.2.a.i.1.1
2-800-1.1-c1-0-8 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.49471$ Modular form 800.2.a.m.1.2
2-800-1.1-c1-0-9 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.52217$ Modular form 800.2.a.j.1.1
2-800-100.23-c1-0-0 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 100.23 $1.0$ $1$ ✓ ✓ $-0.167$ $0$ $0.0506636$ Modular form 800.2.bq.d.223.1
2-800-100.23-c1-0-1 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 100.23 $1.0$ $1$ ✓ ✓ $-0.112$ $0$ $0.589254$ Modular form 800.2.bq.b.223.1
2-800-100.23-c1-0-10 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 100.23 $1.0$ $1$ ✓ ✓ $0.0682$ $0$ $1.06019$ Modular form 800.2.bq.d.223.3
2-800-100.23-c1-0-11 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 100.23 $1.0$ $1$ ✓ ✓ $0.0607$ $0$ $1.10117$ Modular form 800.2.bq.d.223.2
2-800-100.23-c1-0-12 $2.52$ $6.38$ $2$ $2^{5} \cdot 5^{2}$ 100.23 $1.0$ $1$ ✓ ✓ $-0.189$ $0$ $1.18519$ Modular form 800.2.bq.c.223.7
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