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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
2-87-87.86-c0-0-0 $0.208$ $0.0434$ $2$ $3 \cdot 29$ 87.86 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.68368$ Artin representation 2.87.3t2.a Artin representation 2.87.3t2.a.a Modular form 87.1.d.a Modular form 87.1.d.a.86.1
2-87-87.86-c0-0-1 $0.208$ $0.0434$ $2$ $3 \cdot 29$ 87.86 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $3.53215$ Artin representation 2.87.6t3.b Artin representation 2.87.6t3.b.a Modular form 87.1.d.b Modular form 87.1.d.b.86.1
2-87-1.1-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52848$ Modular form 87.2.a.b.1.1
2-87-1.1-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.20009$ Modular form 87.2.a.a.1.1
2-87-1.1-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.73387$ Modular form 87.2.a.b.1.2
2-87-1.1-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.30630$ Modular form 87.2.a.b.1.3
2-87-1.1-c1-0-4 $0.833$ $0.694$ $2$ $3 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.33284$ Modular form 87.2.a.a.1.2
2-87-29.13-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.13 $1.0$ $1$ ✓ ✓ $-0.241$ $0$ $1.80689$ Modular form 87.2.i.a.13.1
2-87-29.13-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.13 $1.0$ $1$ ✓ ✓ $0.0243$ $0$ $2.30387$ Modular form 87.2.i.a.13.2
2-87-29.13-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.13 $1.0$ $1$ ✓ ✓ $0.184$ $0$ $3.30280$ Modular form 87.2.i.a.13.3
2-87-29.13-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.13 $1.0$ $1$ ✓ ✓ $0.303$ $0$ $4.03184$ Modular form 87.2.i.a.13.4
2-87-29.16-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $-0.319$ $0$ $0.336634$ Modular form 87.2.g.b.16.1
2-87-29.16-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $0.161$ $0$ $1.91455$ Modular form 87.2.g.a.16.1
2-87-29.16-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $0.0483$ $0$ $1.93482$ Modular form 87.2.g.b.16.2
2-87-29.16-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $-0.137$ $0$ $2.54215$ Modular form 87.2.g.b.16.3
2-87-29.16-c1-0-4 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $0.0318$ $0$ $2.93429$ Modular form 87.2.g.a.16.3
2-87-29.16-c1-0-5 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $0.320$ $0$ $3.33691$ Modular form 87.2.g.a.16.2
2-87-29.20-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $-0.320$ $0$ $1.03469$ Modular form 87.2.g.a.49.2
2-87-29.20-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $-0.161$ $0$ $1.71581$ Modular form 87.2.g.a.49.1
2-87-29.20-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $-0.0483$ $0$ $1.80351$ Modular form 87.2.g.b.49.2
2-87-29.20-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $-0.0318$ $0$ $2.38999$ Modular form 87.2.g.a.49.3
2-87-29.20-c1-0-4 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $0.319$ $0$ $2.69930$ Modular form 87.2.g.b.49.1
2-87-29.20-c1-0-5 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $0.137$ $0$ $3.66740$ Modular form 87.2.g.b.49.3
2-87-29.22-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.22 $1.0$ $1$ ✓ ✓ $-0.198$ $0$ $1.39822$ Modular form 87.2.i.a.22.2
2-87-29.22-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.22 $1.0$ $1$ ✓ ✓ $0.206$ $0$ $2.72446$ Modular form 87.2.i.a.22.1
2-87-29.22-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.22 $1.0$ $1$ ✓ ✓ $0.0116$ $0$ $2.99387$ Modular form 87.2.i.a.22.4
2-87-29.22-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.22 $1.0$ $1$ ✓ ✓ $0.0741$ $0$ $3.21812$ Modular form 87.2.i.a.22.3
2-87-29.23-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $-0.421$ $0$ $0.840602$ Modular form 87.2.g.b.52.1
2-87-29.23-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $-0.289$ $0$ $1.40518$ Modular form 87.2.g.a.52.1
2-87-29.23-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $-0.171$ $0$ $1.59293$ Modular form 87.2.g.a.52.2
2-87-29.23-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $0.0164$ $0$ $2.42845$ Modular form 87.2.g.b.52.2
2-87-29.23-c1-0-4 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $0.203$ $0$ $3.64903$ Modular form 87.2.g.b.52.3
2-87-29.23-c1-0-5 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $0.211$ $0$ $3.75731$ Modular form 87.2.g.a.52.3
2-87-29.24-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $-0.0164$ $0$ $2.32574$ Modular form 87.2.g.b.82.2
2-87-29.24-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $-0.203$ $0$ $2.42521$ Modular form 87.2.g.b.82.3
2-87-29.24-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $-0.211$ $0$ $2.54866$ Modular form 87.2.g.a.82.3
2-87-29.24-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $0.289$ $0$ $3.11329$ Modular form 87.2.g.a.82.1
2-87-29.24-c1-0-4 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $0.421$ $0$ $3.18949$ Modular form 87.2.g.b.82.1
2-87-29.24-c1-0-5 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $0.171$ $0$ $3.60024$ Modular form 87.2.g.a.82.2
2-87-29.25-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $0.477$ $0$ $0.938251$ Modular form 87.2.g.a.25.1
2-87-29.25-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $-0.244$ $0$ $1.91113$ Modular form 87.2.g.b.25.1
2-87-29.25-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $-0.0737$ $0$ $1.92334$ Modular form 87.2.g.a.25.2
2-87-29.25-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $0.109$ $0$ $2.86944$ Modular form 87.2.g.b.25.2
2-87-29.25-c1-0-4 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $0.332$ $0$ $3.66412$ Modular form 87.2.g.a.25.3
2-87-29.25-c1-0-5 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $0.341$ $0$ $4.27790$ Modular form 87.2.g.b.25.3
2-87-29.28-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.28 $1.0$ $1$ ✓ ✓ $-0.155$ $0$ $2.00718$ Modular form 87.2.c.a.28.3
2-87-29.28-c1-0-1 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.28 $1.0$ $1$ ✓ ✓ $-0.155$ $0$ $2.28633$ Modular form 87.2.c.a.28.4
2-87-29.28-c1-0-2 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.28 $1.0$ $1$ ✓ ✓ $0.155$ $0$ $2.65736$ Modular form 87.2.c.a.28.1
2-87-29.28-c1-0-3 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.28 $1.0$ $1$ ✓ ✓ $0.155$ $0$ $2.97038$ Modular form 87.2.c.a.28.2
2-87-29.4-c1-0-0 $0.833$ $0.694$ $2$ $3 \cdot 29$ 29.4 $1.0$ $1$ ✓ ✓ $-0.206$ $0$ $1.08084$ Modular form 87.2.i.a.4.1
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