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Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
Arithmetic
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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
2-189-189.103-c2-0-0 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.215$ $0$ $0.195836$ Modular form 189.3.x.a.103.11
2-189-189.103-c2-0-1 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.473$ $0$ $0.312906$ Modular form 189.3.x.a.103.35
2-189-189.103-c2-0-10 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.335$ $0$ $0.959115$ Modular form 189.3.x.a.103.29
2-189-189.103-c2-0-11 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.427$ $0$ $0.991899$ Modular form 189.3.x.a.103.34
2-189-189.103-c2-0-12 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.311$ $0$ $1.13083$ Modular form 189.3.x.a.103.42
2-189-189.103-c2-0-13 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.0477$ $0$ $1.29356$ Modular form 189.3.x.a.103.15
2-189-189.103-c2-0-14 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.476$ $0$ $1.31437$ Modular form 189.3.x.a.103.45
2-189-189.103-c2-0-15 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.274$ $0$ $1.39476$ Modular form 189.3.x.a.103.40
2-189-189.103-c2-0-16 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.226$ $0$ $1.44101$ Modular form 189.3.x.a.103.28
2-189-189.103-c2-0-17 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.209$ $0$ $1.53240$ Modular form 189.3.x.a.103.4
2-189-189.103-c2-0-18 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.0997$ $0$ $1.58307$ Modular form 189.3.x.a.103.26
2-189-189.103-c2-0-19 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.182$ $0$ $1.62106$ Modular form 189.3.x.a.103.31
2-189-189.103-c2-0-2 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.194$ $0$ $0.313400$ Modular form 189.3.x.a.103.7
2-189-189.103-c2-0-20 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.0817$ $0$ $1.65804$ Modular form 189.3.x.a.103.21
2-189-189.103-c2-0-21 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.0930$ $0$ $1.67487$ Modular form 189.3.x.a.103.36
2-189-189.103-c2-0-22 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.421$ $0$ $1.74107$ Modular form 189.3.x.a.103.38
2-189-189.103-c2-0-23 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.214$ $0$ $1.77040$ Modular form 189.3.x.a.103.37
2-189-189.103-c2-0-24 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.347$ $0$ $1.79858$ Modular form 189.3.x.a.103.14
2-189-189.103-c2-0-25 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.443$ $0$ $1.79859$ Modular form 189.3.x.a.103.2
2-189-189.103-c2-0-26 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.143$ $0$ $1.83070$ Modular form 189.3.x.a.103.43
2-189-189.103-c2-0-27 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.184$ $0$ $1.83852$ Modular form 189.3.x.a.103.24
2-189-189.103-c2-0-28 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.0231$ $0$ $1.86762$ Modular form 189.3.x.a.103.27
2-189-189.103-c2-0-29 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.395$ $0$ $1.88301$ Modular form 189.3.x.a.103.10
2-189-189.103-c2-0-3 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.00231$ $0$ $0.328829$ Modular form 189.3.x.a.103.5
2-189-189.103-c2-0-30 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.120$ $0$ $1.92242$ Modular form 189.3.x.a.103.18
2-189-189.103-c2-0-31 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.130$ $0$ $1.95497$ Modular form 189.3.x.a.103.30
2-189-189.103-c2-0-32 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.0610$ $0$ $2.07873$ Modular form 189.3.x.a.103.19
2-189-189.103-c2-0-33 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.0290$ $0$ $2.09739$ Modular form 189.3.x.a.103.32
2-189-189.103-c2-0-34 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.345$ $0$ $2.10227$ Modular form 189.3.x.a.103.13
2-189-189.103-c2-0-35 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.265$ $0$ $2.18255$ Modular form 189.3.x.a.103.12
2-189-189.103-c2-0-36 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.403$ $0$ $2.29778$ Modular form 189.3.x.a.103.22
2-189-189.103-c2-0-37 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.450$ $0$ $2.37180$ Modular form 189.3.x.a.103.8
2-189-189.103-c2-0-38 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.163$ $0$ $2.38814$ Modular form 189.3.x.a.103.44
2-189-189.103-c2-0-39 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.258$ $0$ $2.39115$ Modular form 189.3.x.a.103.20
2-189-189.103-c2-0-4 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.202$ $0$ $0.451715$ Modular form 189.3.x.a.103.46
2-189-189.103-c2-0-40 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.267$ $0$ $2.61023$ Modular form 189.3.x.a.103.25
2-189-189.103-c2-0-41 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.435$ $0$ $2.76019$ Modular form 189.3.x.a.103.6
2-189-189.103-c2-0-42 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.444$ $0$ $2.84159$ Modular form 189.3.x.a.103.16
2-189-189.103-c2-0-43 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.330$ $0$ $3.01689$ Modular form 189.3.x.a.103.17
2-189-189.103-c2-0-44 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.300$ $0$ $3.51541$ Modular form 189.3.x.a.103.9
2-189-189.103-c2-0-45 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.160$ $0$ $3.71464$ Modular form 189.3.x.a.103.3
2-189-189.103-c2-0-5 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.325$ $0$ $0.513973$ Modular form 189.3.x.a.103.39
2-189-189.103-c2-0-6 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.103$ $0$ $0.542205$ Modular form 189.3.x.a.103.1
2-189-189.103-c2-0-7 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.170$ $0$ $0.674938$ Modular form 189.3.x.a.103.23
2-189-189.103-c2-0-8 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $0.431$ $0$ $0.706866$ Modular form 189.3.x.a.103.41
2-189-189.103-c2-0-9 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.103 $2.0$ $2$ ✓ ✓ $-0.355$ $0$ $0.858758$ Modular form 189.3.x.a.103.33
2-189-189.11-c2-0-0 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.11 $2.0$ $2$ ✓ ✓ $-0.497$ $0$ $0.101628$ Modular form 189.3.bf.a.11.40
2-189-189.11-c2-0-1 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.11 $2.0$ $2$ ✓ ✓ $-0.424$ $0$ $0.164152$ Modular form 189.3.bf.a.11.26
2-189-189.11-c2-0-10 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.11 $2.0$ $2$ ✓ ✓ $-0.244$ $0$ $0.704589$ Modular form 189.3.bf.a.11.5
2-189-189.11-c2-0-11 $2.26$ $5.14$ $2$ $3^{3} \cdot 7$ 189.11 $2.0$ $2$ ✓ ✓ $0.0779$ $0$ $0.852783$ Modular form 189.3.bf.a.11.18
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