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Lowest zero Conductor Analytic conductor Central character Analytic rank
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
2-211-211.10-c2-0-0 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.289$ $0$ $0.0673950$ Modular form 211.3.k.a.10.8
2-211-211.10-c2-0-1 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.453$ $0$ $0.0859090$ Modular form 211.3.k.a.10.14
2-211-211.10-c2-0-10 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.182$ $0$ $1.12983$ Modular form 211.3.k.a.10.19
2-211-211.10-c2-0-11 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.201$ $0$ $1.14274$ Modular form 211.3.k.a.10.21
2-211-211.10-c2-0-12 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.164$ $0$ $1.24627$ Modular form 211.3.k.a.10.1
2-211-211.10-c2-0-13 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.328$ $0$ $1.25404$ Modular form 211.3.k.a.10.13
2-211-211.10-c2-0-14 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.244$ $0$ $1.43885$ Modular form 211.3.k.a.10.5
2-211-211.10-c2-0-15 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.0318$ $0$ $1.44706$ Modular form 211.3.k.a.10.29
2-211-211.10-c2-0-16 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.161$ $0$ $1.49164$ Modular form 211.3.k.a.10.26
2-211-211.10-c2-0-17 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.282$ $0$ $1.56926$ Modular form 211.3.k.a.10.15
2-211-211.10-c2-0-18 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.0780$ $0$ $1.71143$ Modular form 211.3.k.a.10.9
2-211-211.10-c2-0-19 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.142$ $0$ $1.81093$ Modular form 211.3.k.a.10.20
2-211-211.10-c2-0-2 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.277$ $0$ $0.271298$ Modular form 211.3.k.a.10.7
2-211-211.10-c2-0-20 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.0505$ $0$ $1.82767$ Modular form 211.3.k.a.10.22
2-211-211.10-c2-0-21 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.294$ $0$ $1.87999$ Modular form 211.3.k.a.10.23
2-211-211.10-c2-0-22 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.141$ $0$ $1.91709$ Modular form 211.3.k.a.10.27
2-211-211.10-c2-0-23 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.0536$ $0$ $2.01489$ Modular form 211.3.k.a.10.18
2-211-211.10-c2-0-24 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.454$ $0$ $2.07273$ Modular form 211.3.k.a.10.16
2-211-211.10-c2-0-25 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.333$ $0$ $2.23160$ Modular form 211.3.k.a.10.30
2-211-211.10-c2-0-26 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.410$ $0$ $2.26362$ Modular form 211.3.k.a.10.11
2-211-211.10-c2-0-27 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.102$ $0$ $2.30464$ Modular form 211.3.k.a.10.4
2-211-211.10-c2-0-28 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.460$ $0$ $2.57543$ Modular form 211.3.k.a.10.28
2-211-211.10-c2-0-29 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.460$ $0$ $2.80237$ Modular form 211.3.k.a.10.24
2-211-211.10-c2-0-3 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.437$ $0$ $0.320879$ Modular form 211.3.k.a.10.2
2-211-211.10-c2-0-30 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.390$ $0$ $2.93597$ Modular form 211.3.k.a.10.33
2-211-211.10-c2-0-31 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.438$ $0$ $3.04408$ Modular form 211.3.k.a.10.32
2-211-211.10-c2-0-32 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.292$ $0$ $3.60394$ Modular form 211.3.k.a.10.34
2-211-211.10-c2-0-33 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.234$ $0$ $3.95530$ Modular form 211.3.k.a.10.31
2-211-211.10-c2-0-4 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.118$ $0$ $0.377142$ Modular form 211.3.k.a.10.25
2-211-211.10-c2-0-5 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.458$ $0$ $0.725233$ Modular form 211.3.k.a.10.10
2-211-211.10-c2-0-6 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.105$ $0$ $0.750502$ Modular form 211.3.k.a.10.6
2-211-211.10-c2-0-7 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.0591$ $0$ $0.854257$ Modular form 211.3.k.a.10.17
2-211-211.10-c2-0-8 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $-0.253$ $0$ $0.864016$ Modular form 211.3.k.a.10.12
2-211-211.10-c2-0-9 $2.39$ $5.74$ $2$ $211$ 211.10 $2.0$ $2$ ✓ ✓ $0.405$ $0$ $0.955810$ Modular form 211.3.k.a.10.3
2-211-211.102-c2-0-0 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.456$ $0$ $0.00500226$ Modular form 211.3.n.a.102.20
2-211-211.102-c2-0-1 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.419$ $0$ $0.0394047$ Modular form 211.3.n.a.102.9
2-211-211.102-c2-0-10 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.181$ $0$ $0.702045$ Modular form 211.3.n.a.102.18
2-211-211.102-c2-0-11 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.0192$ $0$ $0.724021$ Modular form 211.3.n.a.102.1
2-211-211.102-c2-0-12 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.182$ $0$ $0.765003$ Modular form 211.3.n.a.102.13
2-211-211.102-c2-0-13 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.153$ $0$ $0.784141$ Modular form 211.3.n.a.102.19
2-211-211.102-c2-0-14 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.394$ $0$ $0.962530$ Modular form 211.3.n.a.102.31
2-211-211.102-c2-0-15 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.493$ $0$ $1.07353$ Modular form 211.3.n.a.102.34
2-211-211.102-c2-0-16 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.396$ $0$ $1.14410$ Modular form 211.3.n.a.102.4
2-211-211.102-c2-0-17 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.275$ $0$ $1.22117$ Modular form 211.3.n.a.102.7
2-211-211.102-c2-0-18 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.149$ $0$ $1.23734$ Modular form 211.3.n.a.102.6
2-211-211.102-c2-0-19 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.287$ $0$ $1.56585$ Modular form 211.3.n.a.102.35
2-211-211.102-c2-0-2 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.369$ $0$ $0.330296$ Modular form 211.3.n.a.102.21
2-211-211.102-c2-0-20 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $-0.111$ $0$ $1.73387$ Modular form 211.3.n.a.102.29
2-211-211.102-c2-0-21 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.249$ $0$ $1.79599$ Modular form 211.3.n.a.102.22
2-211-211.102-c2-0-22 $2.39$ $5.74$ $2$ $211$ 211.102 $2.0$ $2$ ✓ ✓ $0.418$ $0$ $1.88615$ Modular form 211.3.n.a.102.12
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