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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
2-197-197.102-c2-0-0 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.401$ $0$ $0.0178001$ Modular form 197.3.i.a.102.20
2-197-197.102-c2-0-1 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.452$ $0$ $0.156948$ Modular form 197.3.i.a.102.13
2-197-197.102-c2-0-10 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.0681$ $0$ $0.707861$ Modular form 197.3.i.a.102.28
2-197-197.102-c2-0-11 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.265$ $0$ $0.758139$ Modular form 197.3.i.a.102.19
2-197-197.102-c2-0-12 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.220$ $0$ $0.963274$ Modular form 197.3.i.a.102.10
2-197-197.102-c2-0-13 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.205$ $0$ $1.06586$ Modular form 197.3.i.a.102.15
2-197-197.102-c2-0-14 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.138$ $0$ $1.10347$ Modular form 197.3.i.a.102.9
2-197-197.102-c2-0-15 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.242$ $0$ $1.13687$ Modular form 197.3.i.a.102.17
2-197-197.102-c2-0-16 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.00509$ $0$ $1.34444$ Modular form 197.3.i.a.102.22
2-197-197.102-c2-0-17 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.0348$ $0$ $1.45796$ Modular form 197.3.i.a.102.5
2-197-197.102-c2-0-18 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.130$ $0$ $1.54678$ Modular form 197.3.i.a.102.6
2-197-197.102-c2-0-19 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.165$ $0$ $1.55138$ Modular form 197.3.i.a.102.11
2-197-197.102-c2-0-2 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.459$ $0$ $0.389960$ Modular form 197.3.i.a.102.2
2-197-197.102-c2-0-20 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.214$ $0$ $1.69370$ Modular form 197.3.i.a.102.26
2-197-197.102-c2-0-21 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.0601$ $0$ $1.85350$ Modular form 197.3.i.a.102.21
2-197-197.102-c2-0-22 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.0574$ $0$ $1.86034$ Modular form 197.3.i.a.102.12
2-197-197.102-c2-0-23 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.00289$ $0$ $1.90806$ Modular form 197.3.i.a.102.16
2-197-197.102-c2-0-24 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.0286$ $0$ $2.04036$ Modular form 197.3.i.a.102.1
2-197-197.102-c2-0-25 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.159$ $0$ $2.15517$ Modular form 197.3.i.a.102.24
2-197-197.102-c2-0-26 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.338$ $0$ $2.22787$ Modular form 197.3.i.a.102.7
2-197-197.102-c2-0-27 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.303$ $0$ $2.64035$ Modular form 197.3.i.a.102.29
2-197-197.102-c2-0-28 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.336$ $0$ $2.70124$ Modular form 197.3.i.a.102.30
2-197-197.102-c2-0-29 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.272$ $0$ $2.84324$ Modular form 197.3.i.a.102.27
2-197-197.102-c2-0-3 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.263$ $0$ $0.442419$ Modular form 197.3.i.a.102.23
2-197-197.102-c2-0-30 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.412$ $0$ $3.39665$ Modular form 197.3.i.a.102.31
2-197-197.102-c2-0-31 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $0.339$ $0$ $3.47575$ Modular form 197.3.i.a.102.32
2-197-197.102-c2-0-4 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.460$ $0$ $0.475003$ Modular form 197.3.i.a.102.8
2-197-197.102-c2-0-5 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.219$ $0$ $0.505806$ Modular form 197.3.i.a.102.25
2-197-197.102-c2-0-6 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.145$ $0$ $0.519973$ Modular form 197.3.i.a.102.4
2-197-197.102-c2-0-7 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.473$ $0$ $0.524698$ Modular form 197.3.i.a.102.3
2-197-197.102-c2-0-8 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.317$ $0$ $0.611949$ Modular form 197.3.i.a.102.18
2-197-197.102-c2-0-9 $2.31$ $5.36$ $2$ $197$ 197.102 $2.0$ $2$ ✓ ✓ $-0.398$ $0$ $0.624431$ Modular form 197.3.i.a.102.14
2-197-197.103-c2-0-0 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.465$ $0$ $0.0597086$ Modular form 197.3.i.a.103.5
2-197-197.103-c2-0-1 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.452$ $0$ $0.0871728$ Modular form 197.3.i.a.103.7
2-197-197.103-c2-0-10 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.0724$ $0$ $1.00242$ Modular form 197.3.i.a.103.1
2-197-197.103-c2-0-11 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.312$ $0$ $1.03679$ Modular form 197.3.i.a.103.3
2-197-197.103-c2-0-12 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.192$ $0$ $1.11679$ Modular form 197.3.i.a.103.11
2-197-197.103-c2-0-13 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.217$ $0$ $1.15736$ Modular form 197.3.i.a.103.25
2-197-197.103-c2-0-14 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.147$ $0$ $1.24656$ Modular form 197.3.i.a.103.22
2-197-197.103-c2-0-15 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.164$ $0$ $1.39436$ Modular form 197.3.i.a.103.14
2-197-197.103-c2-0-16 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.0915$ $0$ $1.55148$ Modular form 197.3.i.a.103.21
2-197-197.103-c2-0-17 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.149$ $0$ $1.55625$ Modular form 197.3.i.a.103.2
2-197-197.103-c2-0-18 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.0481$ $0$ $1.56106$ Modular form 197.3.i.a.103.8
2-197-197.103-c2-0-19 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.117$ $0$ $1.64189$ Modular form 197.3.i.a.103.19
2-197-197.103-c2-0-2 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.464$ $0$ $0.301404$ Modular form 197.3.i.a.103.16
2-197-197.103-c2-0-20 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.205$ $0$ $1.64762$ Modular form 197.3.i.a.103.6
2-197-197.103-c2-0-21 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $-0.189$ $0$ $1.68755$ Modular form 197.3.i.a.103.18
2-197-197.103-c2-0-22 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.359$ $0$ $1.90638$ Modular form 197.3.i.a.103.12
2-197-197.103-c2-0-23 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.156$ $0$ $2.11554$ Modular form 197.3.i.a.103.26
2-197-197.103-c2-0-24 $2.31$ $5.36$ $2$ $197$ 197.103 $2.0$ $2$ ✓ ✓ $0.160$ $0$ $2.15520$ Modular form 197.3.i.a.103.27
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