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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
2-177-1.1-c3-0-0 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.516792$ Modular form 177.4.a.c.1.3
2-177-1.1-c3-0-1 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.682880$ Modular form 177.4.a.c.1.4
2-177-1.1-c3-0-10 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.50395$ Modular form 177.4.a.b.1.1
2-177-1.1-c3-0-11 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.57054$ Modular form 177.4.a.b.1.3
2-177-1.1-c3-0-12 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.57937$ Modular form 177.4.a.b.1.2
2-177-1.1-c3-0-13 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.59192$ Modular form 177.4.a.d.1.5
2-177-1.1-c3-0-14 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.62018$ Modular form 177.4.a.c.1.7
2-177-1.1-c3-0-15 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.74897$ Modular form 177.4.a.a.1.2
2-177-1.1-c3-0-16 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.82446$ Modular form 177.4.a.d.1.7
2-177-1.1-c3-0-17 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.88399$ Modular form 177.4.a.a.1.3
2-177-1.1-c3-0-18 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.92412$ Modular form 177.4.a.c.1.8
2-177-1.1-c3-0-19 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.99700$ Modular form 177.4.a.b.1.4
2-177-1.1-c3-0-2 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.706924$ Modular form 177.4.a.c.1.1
2-177-1.1-c3-0-20 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.01057$ Modular form 177.4.a.a.1.1
2-177-1.1-c3-0-21 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.06797$ Modular form 177.4.a.a.1.4
2-177-1.1-c3-0-22 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.07608$ Modular form 177.4.a.d.1.6
2-177-1.1-c3-0-23 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.14835$ Modular form 177.4.a.d.1.8
2-177-1.1-c3-0-24 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.59330$ Modular form 177.4.a.a.1.6
2-177-1.1-c3-0-25 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.60567$ Modular form 177.4.a.b.1.5
2-177-1.1-c3-0-26 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.64189$ Modular form 177.4.a.b.1.6
2-177-1.1-c3-0-27 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.65515$ Modular form 177.4.a.a.1.5
2-177-1.1-c3-0-28 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $3.05841$ Modular form 177.4.a.b.1.7
2-177-1.1-c3-0-29 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $3.23020$ Modular form 177.4.a.a.1.7
2-177-1.1-c3-0-3 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.765091$ Modular form 177.4.a.c.1.5
2-177-1.1-c3-0-4 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.828348$ Modular form 177.4.a.d.1.2
2-177-1.1-c3-0-5 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.07232$ Modular form 177.4.a.c.1.2
2-177-1.1-c3-0-6 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.08595$ Modular form 177.4.a.d.1.4
2-177-1.1-c3-0-7 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.26446$ Modular form 177.4.a.c.1.6
2-177-1.1-c3-0-8 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.29915$ Modular form 177.4.a.d.1.3
2-177-1.1-c3-0-9 $3.23$ $10.4$ $2$ $3 \cdot 59$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.35041$ Modular form 177.4.a.d.1.1
2-177-177.101-c3-0-0 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.478$ $0$ $0.0456866$ Modular form 177.4.f.a.101.42
2-177-177.101-c3-0-1 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.000643$ $0$ $0.0546371$ Modular form 177.4.f.a.101.6
2-177-177.101-c3-0-10 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.492$ $0$ $0.615701$ Modular form 177.4.f.a.101.34
2-177-177.101-c3-0-11 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.130$ $0$ $0.669731$ Modular form 177.4.f.a.101.36
2-177-177.101-c3-0-12 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.202$ $0$ $0.693056$ Modular form 177.4.f.a.101.15
2-177-177.101-c3-0-13 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.369$ $0$ $0.700120$ Modular form 177.4.f.a.101.10
2-177-177.101-c3-0-14 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.395$ $0$ $0.729868$ Modular form 177.4.f.a.101.33
2-177-177.101-c3-0-15 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.000323$ $0$ $0.750844$ Modular form 177.4.f.a.101.46
2-177-177.101-c3-0-16 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $0.436$ $0$ $0.766456$ Modular form 177.4.f.a.101.14
2-177-177.101-c3-0-17 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.142$ $0$ $0.782639$ Modular form 177.4.f.a.101.30
2-177-177.101-c3-0-18 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.0359$ $0$ $0.789078$ Modular form 177.4.f.a.101.55
2-177-177.101-c3-0-19 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.333$ $0$ $0.881896$ Modular form 177.4.f.a.101.2
2-177-177.101-c3-0-2 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.457$ $0$ $0.206247$ Modular form 177.4.f.a.101.8
2-177-177.101-c3-0-20 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.0536$ $0$ $0.891217$ Modular form 177.4.f.a.101.5
2-177-177.101-c3-0-21 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.0790$ $0$ $0.954758$ Modular form 177.4.f.a.101.49
2-177-177.101-c3-0-22 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.187$ $0$ $0.972921$ Modular form 177.4.f.a.101.38
2-177-177.101-c3-0-23 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.272$ $0$ $0.988632$ Modular form 177.4.f.a.101.31
2-177-177.101-c3-0-24 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.215$ $0$ $1.00492$ Modular form 177.4.f.a.101.13
2-177-177.101-c3-0-25 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $-0.297$ $0$ $1.00776$ Modular form 177.4.f.a.101.17
2-177-177.101-c3-0-26 $3.23$ $10.4$ $2$ $3 \cdot 59$ 177.101 $3.0$ $3$ ✓ ✓ $0.0998$ $0$ $1.01081$ Modular form 177.4.f.a.101.48
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