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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
2-300-100.11-c2-0-0 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.373$ $0$ $0.0151546$ Modular form 300.3.p.a.211.47
2-300-100.11-c2-0-1 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.433$ $0$ $0.0543501$ Modular form 300.3.p.a.211.10
2-300-100.11-c2-0-10 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.146$ $0$ $0.687163$ Modular form 300.3.p.a.211.6
2-300-100.11-c2-0-11 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.0849$ $0$ $0.702771$ Modular form 300.3.p.a.211.35
2-300-100.11-c2-0-12 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.717659$ Modular form 300.3.p.a.211.29
2-300-100.11-c2-0-13 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.411$ $0$ $0.742982$ Modular form 300.3.p.a.211.42
2-300-100.11-c2-0-14 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.491$ $0$ $0.762935$ Modular form 300.3.p.a.211.37
2-300-100.11-c2-0-15 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.326$ $0$ $0.847108$ Modular form 300.3.p.a.211.13
2-300-100.11-c2-0-16 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.0926$ $0$ $0.849761$ Modular form 300.3.p.a.211.4
2-300-100.11-c2-0-17 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0359$ $0$ $0.854504$ Modular form 300.3.p.a.211.38
2-300-100.11-c2-0-18 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0529$ $0$ $0.898639$ Modular form 300.3.p.a.211.24
2-300-100.11-c2-0-19 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.373$ $0$ $0.906491$ Modular form 300.3.p.a.211.45
2-300-100.11-c2-0-2 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.421$ $0$ $0.204469$ Modular form 300.3.p.a.211.16
2-300-100.11-c2-0-20 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0586$ $0$ $0.924704$ Modular form 300.3.p.a.211.11
2-300-100.11-c2-0-21 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.210$ $0$ $0.991739$ Modular form 300.3.p.a.211.49
2-300-100.11-c2-0-22 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.155$ $0$ $0.992739$ Modular form 300.3.p.a.211.5
2-300-100.11-c2-0-23 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.273$ $0$ $0.996004$ Modular form 300.3.p.a.211.20
2-300-100.11-c2-0-24 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.274$ $0$ $1.04716$ Modular form 300.3.p.a.211.22
2-300-100.11-c2-0-25 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0238$ $0$ $1.05140$ Modular form 300.3.p.a.211.30
2-300-100.11-c2-0-26 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.174$ $0$ $1.06195$ Modular form 300.3.p.a.211.28
2-300-100.11-c2-0-27 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.132$ $0$ $1.07026$ Modular form 300.3.p.a.211.59
2-300-100.11-c2-0-28 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.294$ $0$ $1.14712$ Modular form 300.3.p.a.211.8
2-300-100.11-c2-0-29 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.193$ $0$ $1.17975$ Modular form 300.3.p.a.211.57
2-300-100.11-c2-0-3 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.353$ $0$ $0.244094$ Modular form 300.3.p.a.211.23
2-300-100.11-c2-0-30 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0460$ $0$ $1.19672$ Modular form 300.3.p.a.211.18
2-300-100.11-c2-0-31 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.271$ $0$ $1.30183$ Modular form 300.3.p.a.211.44
2-300-100.11-c2-0-32 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.0189$ $0$ $1.35578$ Modular form 300.3.p.a.211.51
2-300-100.11-c2-0-33 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.189$ $0$ $1.35642$ Modular form 300.3.p.a.211.36
2-300-100.11-c2-0-34 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0456$ $0$ $1.38761$ Modular form 300.3.p.a.211.7
2-300-100.11-c2-0-35 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.155$ $0$ $1.47224$ Modular form 300.3.p.a.211.14
2-300-100.11-c2-0-36 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.333$ $0$ $1.48347$ Modular form 300.3.p.a.211.21
2-300-100.11-c2-0-37 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0442$ $0$ $1.54122$ Modular form 300.3.p.a.211.56
2-300-100.11-c2-0-38 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.176$ $0$ $1.61541$ Modular form 300.3.p.a.211.52
2-300-100.11-c2-0-39 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.183$ $0$ $1.64430$ Modular form 300.3.p.a.211.34
2-300-100.11-c2-0-4 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.471$ $0$ $0.306295$ Modular form 300.3.p.a.211.3
2-300-100.11-c2-0-40 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.222$ $0$ $1.64840$ Modular form 300.3.p.a.211.2
2-300-100.11-c2-0-41 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.175$ $0$ $1.66883$ Modular form 300.3.p.a.211.40
2-300-100.11-c2-0-42 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.0665$ $0$ $1.71959$ Modular form 300.3.p.a.211.60
2-300-100.11-c2-0-43 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.145$ $0$ $1.82832$ Modular form 300.3.p.a.211.31
2-300-100.11-c2-0-44 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.391$ $0$ $1.95563$ Modular form 300.3.p.a.211.17
2-300-100.11-c2-0-45 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.421$ $0$ $1.98388$ Modular form 300.3.p.a.211.27
2-300-100.11-c2-0-46 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.101$ $0$ $2.05594$ Modular form 300.3.p.a.211.54
2-300-100.11-c2-0-47 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.465$ $0$ $2.08882$ Modular form 300.3.p.a.211.1
2-300-100.11-c2-0-48 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.363$ $0$ $2.09118$ Modular form 300.3.p.a.211.9
2-300-100.11-c2-0-49 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.113$ $0$ $2.09467$ Modular form 300.3.p.a.211.19
2-300-100.11-c2-0-5 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $-0.212$ $0$ $0.416011$ Modular form 300.3.p.a.211.12
2-300-100.11-c2-0-50 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.0550$ $0$ $2.10175$ Modular form 300.3.p.a.211.55
2-300-100.11-c2-0-51 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.486$ $0$ $2.11955$ Modular form 300.3.p.a.211.25
2-300-100.11-c2-0-52 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.285$ $0$ $2.14658$ Modular form 300.3.p.a.211.41
2-300-100.11-c2-0-53 $2.85$ $8.17$ $2$ $2^{2} \cdot 3 \cdot 5^{2}$ 100.11 $2.0$ $2$ ✓ ✓ $0.153$ $0$ $2.18477$ Modular form 300.3.p.a.211.53
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