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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
2-6e3-216.101-c2-0-0 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.334$ $0$ $0.149457$ Modular form 216.3.x.a.101.51
2-6e3-216.101-c2-0-1 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.405$ $0$ $0.212834$ Modular form 216.3.x.a.101.22
2-6e3-216.101-c2-0-10 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0134$ $0$ $0.699815$ Modular form 216.3.x.a.101.39
2-6e3-216.101-c2-0-11 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0276$ $0$ $0.743326$ Modular form 216.3.x.a.101.11
2-6e3-216.101-c2-0-12 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.180$ $0$ $0.775545$ Modular form 216.3.x.a.101.46
2-6e3-216.101-c2-0-13 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.368$ $0$ $0.793180$ Modular form 216.3.x.a.101.44
2-6e3-216.101-c2-0-14 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.205$ $0$ $0.818667$ Modular form 216.3.x.a.101.17
2-6e3-216.101-c2-0-15 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.298$ $0$ $0.833417$ Modular form 216.3.x.a.101.53
2-6e3-216.101-c2-0-16 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.450$ $0$ $0.888308$ Modular form 216.3.x.a.101.43
2-6e3-216.101-c2-0-17 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.249$ $0$ $0.919649$ Modular form 216.3.x.a.101.63
2-6e3-216.101-c2-0-18 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0588$ $0$ $0.959774$ Modular form 216.3.x.a.101.10
2-6e3-216.101-c2-0-19 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.416$ $0$ $0.967625$ Modular form 216.3.x.a.101.45
2-6e3-216.101-c2-0-2 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.435$ $0$ $0.213481$ Modular form 216.3.x.a.101.32
2-6e3-216.101-c2-0-20 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0259$ $0$ $1.02374$ Modular form 216.3.x.a.101.8
2-6e3-216.101-c2-0-21 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.357$ $0$ $1.05640$ Modular form 216.3.x.a.101.3
2-6e3-216.101-c2-0-22 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.118$ $0$ $1.06468$ Modular form 216.3.x.a.101.30
2-6e3-216.101-c2-0-23 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.229$ $0$ $1.06529$ Modular form 216.3.x.a.101.16
2-6e3-216.101-c2-0-24 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.270$ $0$ $1.14456$ Modular form 216.3.x.a.101.68
2-6e3-216.101-c2-0-25 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.00532$ $0$ $1.19343$ Modular form 216.3.x.a.101.15
2-6e3-216.101-c2-0-26 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.352$ $0$ $1.19822$ Modular form 216.3.x.a.101.33
2-6e3-216.101-c2-0-27 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.300$ $0$ $1.20256$ Modular form 216.3.x.a.101.62
2-6e3-216.101-c2-0-28 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.387$ $0$ $1.22987$ Modular form 216.3.x.a.101.54
2-6e3-216.101-c2-0-29 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0139$ $0$ $1.23527$ Modular form 216.3.x.a.101.61
2-6e3-216.101-c2-0-3 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.142$ $0$ $0.233856$ Modular form 216.3.x.a.101.26
2-6e3-216.101-c2-0-30 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0196$ $0$ $1.25315$ Modular form 216.3.x.a.101.13
2-6e3-216.101-c2-0-31 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0411$ $0$ $1.25822$ Modular form 216.3.x.a.101.34
2-6e3-216.101-c2-0-32 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0568$ $0$ $1.26096$ Modular form 216.3.x.a.101.27
2-6e3-216.101-c2-0-33 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.273$ $0$ $1.27928$ Modular form 216.3.x.a.101.35
2-6e3-216.101-c2-0-34 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.296$ $0$ $1.28971$ Modular form 216.3.x.a.101.23
2-6e3-216.101-c2-0-35 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.197$ $0$ $1.47031$ Modular form 216.3.x.a.101.9
2-6e3-216.101-c2-0-36 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.165$ $0$ $1.63251$ Modular form 216.3.x.a.101.56
2-6e3-216.101-c2-0-37 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.277$ $0$ $1.64441$ Modular form 216.3.x.a.101.24
2-6e3-216.101-c2-0-38 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.135$ $0$ $1.67087$ Modular form 216.3.x.a.101.40
2-6e3-216.101-c2-0-39 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0870$ $0$ $1.71842$ Modular form 216.3.x.a.101.6
2-6e3-216.101-c2-0-4 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.309$ $0$ $0.354928$ Modular form 216.3.x.a.101.29
2-6e3-216.101-c2-0-40 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.108$ $0$ $1.72950$ Modular form 216.3.x.a.101.70
2-6e3-216.101-c2-0-41 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.259$ $0$ $1.75881$ Modular form 216.3.x.a.101.48
2-6e3-216.101-c2-0-42 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.195$ $0$ $1.76113$ Modular form 216.3.x.a.101.7
2-6e3-216.101-c2-0-43 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0223$ $0$ $1.76267$ Modular form 216.3.x.a.101.64
2-6e3-216.101-c2-0-44 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0276$ $0$ $1.77847$ Modular form 216.3.x.a.101.25
2-6e3-216.101-c2-0-45 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.0251$ $0$ $1.79080$ Modular form 216.3.x.a.101.67
2-6e3-216.101-c2-0-46 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0262$ $0$ $1.82554$ Modular form 216.3.x.a.101.42
2-6e3-216.101-c2-0-47 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.118$ $0$ $1.89722$ Modular form 216.3.x.a.101.55
2-6e3-216.101-c2-0-48 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.480$ $0$ $1.96106$ Modular form 216.3.x.a.101.1
2-6e3-216.101-c2-0-49 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.156$ $0$ $1.98614$ Modular form 216.3.x.a.101.69
2-6e3-216.101-c2-0-5 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.422$ $0$ $0.371926$ Modular form 216.3.x.a.101.4
2-6e3-216.101-c2-0-50 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.461$ $0$ $2.10032$ Modular form 216.3.x.a.101.28
2-6e3-216.101-c2-0-51 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.168$ $0$ $2.13541$ Modular form 216.3.x.a.101.41
2-6e3-216.101-c2-0-52 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $0.467$ $0$ $2.17157$ Modular form 216.3.x.a.101.5
2-6e3-216.101-c2-0-53 $2.42$ $5.88$ $2$ $2^{3} \cdot 3^{3}$ 216.101 $2.0$ $2$ ✓ ✓ $-0.0199$ $0$ $2.19693$ Modular form 216.3.x.a.101.65
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