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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
2-2e2-4.3-c4-0-0 $0.643$ $0.413$ $2$ $2^{2}$ 4.3 $4.0$ $4$ ✓ ✓ ✓ ✓ $0$ $0$ $7.53515$ Modular form 4.5.b.a Modular form 4.5.b.a.3.1
2-2e2-1.1-c5-0-0 $0.800$ $0.641$ $2$ $2^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0$ $0$ $6.10006$ Modular form 4.6.a.a Modular form 4.6.a.a.1.1
2-2e2-4.3-c6-0-0 $0.959$ $0.920$ $2$ $2^{2}$ 4.3 $6.0$ $6$ ✓ ✓ $-0.0804$ $0$ $4.29313$ Modular form 4.7.b.a.3.2
2-2e2-4.3-c6-0-1 $0.959$ $0.920$ $2$ $2^{2}$ 4.3 $6.0$ $6$ ✓ ✓ $0.0804$ $0$ $6.27799$ Modular form 4.7.b.a.3.1
2-2e2-4.3-c8-0-0 $1.27$ $1.62$ $2$ $2^{2}$ 4.3 $8.0$ $8$ ✓ ✓ $-0.285$ $0$ $1.67164$ Modular form 4.9.b.b.3.2
2-2e2-4.3-c8-0-1 $1.27$ $1.62$ $2$ $2^{2}$ 4.3 $8.0$ $8$ ✓ ✓ ✓ ✓ $0$ $0$ $4.11750$ Modular form 4.9.b.a Modular form 4.9.b.a.3.1
2-2e2-4.3-c8-0-2 $1.27$ $1.62$ $2$ $2^{2}$ 4.3 $8.0$ $8$ ✓ ✓ $0.285$ $0$ $5.61132$ Modular form 4.9.b.b.3.1
2-2e2-1.1-c9-0-0 $1.43$ $2.06$ $2$ $2^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ ✓ $0$ $0$ $3.19475$ Modular form 4.10.a.a Modular form 4.10.a.a.1.1
2-2e2-4.3-c10-0-0 $1.59$ $2.54$ $2$ $2^{2}$ 4.3 $10.0$ $10$ ✓ ✓ $-0.293$ $0$ $0.780893$ Modular form 4.11.b.a.3.1
2-2e2-4.3-c10-0-1 $1.59$ $2.54$ $2$ $2^{2}$ 4.3 $10.0$ $10$ ✓ ✓ $-0.208$ $0$ $2.14674$ Modular form 4.11.b.a.3.4
2-2e2-4.3-c10-0-2 $1.59$ $2.54$ $2$ $2^{2}$ 4.3 $10.0$ $10$ ✓ ✓ $0.293$ $0$ $3.81673$ Modular form 4.11.b.a.3.2
2-2e2-4.3-c10-0-3 $1.59$ $2.54$ $2$ $2^{2}$ 4.3 $10.0$ $10$ ✓ ✓ $0.208$ $0$ $4.43798$ Modular form 4.11.b.a.3.3
2-2e2-1.1-c11-0-0 $1.75$ $3.07$ $2$ $2^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ ✓ $0.5$ $1$ $4.85967$ Modular form 4.12.a.a Modular form 4.12.a.a.1.1
2-2e2-4.3-c12-0-0 $1.91$ $3.65$ $2$ $2^{2}$ 4.3 $12.0$ $12$ ✓ ✓ $-0.467$ $0$ $0.728793$ Modular form 4.13.b.b.3.2
2-2e2-4.3-c12-0-1 $1.91$ $3.65$ $2$ $2^{2}$ 4.3 $12.0$ $12$ ✓ ✓ ✓ ✓ $0$ $0$ $1.72643$ Modular form 4.13.b.a Modular form 4.13.b.a.3.1
2-2e2-4.3-c12-0-2 $1.91$ $3.65$ $2$ $2^{2}$ 4.3 $12.0$ $12$ ✓ ✓ $-0.104$ $0$ $2.12159$ Modular form 4.13.b.b.3.3
2-2e2-4.3-c12-0-3 $1.91$ $3.65$ $2$ $2^{2}$ 4.3 $12.0$ $12$ ✓ ✓ $0.104$ $0$ $3.54381$ Modular form 4.13.b.b.3.4
2-2e2-4.3-c12-0-4 $1.91$ $3.65$ $2$ $2^{2}$ 4.3 $12.0$ $12$ ✓ ✓ $0.467$ $0$ $4.66883$ Modular form 4.13.b.b.3.1
2-2e2-1.1-c13-0-0 $2.07$ $4.28$ $2$ $2^{2}$ 1.1 $13.0$ $13$ ✓ ✓ ✓ ✓ $0$ $0$ $2.11107$ Modular form 4.14.a.a Modular form 4.14.a.a.1.1
2-2e2-4.3-c14-0-0 $2.23$ $4.97$ $2$ $2^{2}$ 4.3 $14.0$ $14$ ✓ ✓ $0.351$ $0$ $0.0848089$ Modular form 4.15.b.a.3.2
2-2e2-4.3-c14-0-1 $2.23$ $4.97$ $2$ $2^{2}$ 4.3 $14.0$ $14$ ✓ ✓ $-0.0811$ $0$ $1.19126$ Modular form 4.15.b.a.3.3
2-2e2-4.3-c14-0-2 $2.23$ $4.97$ $2$ $2^{2}$ 4.3 $14.0$ $14$ ✓ ✓ $-0.287$ $0$ $1.40524$ Modular form 4.15.b.a.3.6
2-2e2-4.3-c14-0-3 $2.23$ $4.97$ $2$ $2^{2}$ 4.3 $14.0$ $14$ ✓ ✓ $0.0811$ $0$ $2.30025$ Modular form 4.15.b.a.3.4
2-2e2-4.3-c14-0-4 $2.23$ $4.97$ $2$ $2^{2}$ 4.3 $14.0$ $14$ ✓ ✓ $0.287$ $0$ $3.63317$ Modular form 4.15.b.a.3.5
2-2e2-4.3-c14-0-5 $2.23$ $4.97$ $2$ $2^{2}$ 4.3 $14.0$ $14$ ✓ ✓ $-0.351$ $0$ $4.31238$ Modular form 4.15.b.a.3.1
2-2e2-1.1-c15-0-0 $2.38$ $5.70$ $2$ $2^{2}$ 1.1 $15.0$ $15$ ✓ ✓ ✓ ✓ $0.5$ $1$ $3.47257$ Modular form 4.16.a.a Modular form 4.16.a.a.1.1
2-2e2-4.3-c16-0-0 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ $-0.356$ $0$ $0.257170$ Modular form 4.17.b.b.3.5
2-2e2-4.3-c16-0-1 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ $-0.187$ $0$ $0.937979$ Modular form 4.17.b.b.3.2
2-2e2-4.3-c16-0-2 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ $0.476$ $0$ $0.967404$ Modular form 4.17.b.b.3.4
2-2e2-4.3-c16-0-3 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ $0.187$ $0$ $1.68405$ Modular form 4.17.b.b.3.1
2-2e2-4.3-c16-0-4 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ ✓ ✓ $0$ $0$ $2.18357$ Modular form 4.17.b.a Modular form 4.17.b.a.3.1
2-2e2-4.3-c16-0-5 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ $0.356$ $0$ $3.34387$ Modular form 4.17.b.b.3.6
2-2e2-4.3-c16-0-6 $2.54$ $6.49$ $2$ $2^{2}$ 4.3 $16.0$ $16$ ✓ ✓ $-0.476$ $0$ $4.12521$ Modular form 4.17.b.b.3.3
2-2e2-1.1-c17-0-0 $2.70$ $7.32$ $2$ $2^{2}$ 1.1 $17.0$ $17$ ✓ ✓ ✓ $0$ $0$ $1.11495$ Modular form 4.18.a.a.1.1
2-2e2-1.1-c17-0-1 $2.70$ $7.32$ $2$ $2^{2}$ 1.1 $17.0$ $17$ ✓ ✓ ✓ $0$ $0$ $1.90081$ Modular form 4.18.a.a.1.2
2-2e2-4.3-c18-0-0 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $-0.132$ $0$ $0.491638$ Modular form 4.19.b.a.3.3
2-2e2-4.3-c18-0-1 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $-0.480$ $0$ $0.569659$ Modular form 4.19.b.a.3.1
2-2e2-4.3-c18-0-2 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $-0.381$ $0$ $0.994155$ Modular form 4.19.b.a.3.8
2-2e2-4.3-c18-0-3 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $-0.186$ $0$ $1.42474$ Modular form 4.19.b.a.3.6
2-2e2-4.3-c18-0-4 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $0.132$ $0$ $1.79520$ Modular form 4.19.b.a.3.4
2-2e2-4.3-c18-0-5 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $0.186$ $0$ $2.15904$ Modular form 4.19.b.a.3.5
2-2e2-4.3-c18-0-6 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $0.480$ $0$ $2.70540$ Modular form 4.19.b.a.3.2
2-2e2-4.3-c18-0-7 $2.86$ $8.21$ $2$ $2^{2}$ 4.3 $18.0$ $18$ ✓ ✓ $0.381$ $0$ $3.67606$ Modular form 4.19.b.a.3.7
2-2e2-1.1-c19-0-0 $3.02$ $9.15$ $2$ $2^{2}$ 1.1 $19.0$ $19$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.80218$ Modular form 4.20.a.a Modular form 4.20.a.a.1.1
2-2e2-4.3-c20-0-0 $3.18$ $10.1$ $2$ $2^{2}$ 4.3 $20.0$ $20$ ✓ ✓ $-0.390$ $0$ $0.151050$ Modular form 4.21.b.b.3.4
2-2e2-4.3-c20-0-1 $3.18$ $10.1$ $2$ $2^{2}$ 4.3 $20.0$ $20$ ✓ ✓ $0.386$ $0$ $0.429135$ Modular form 4.21.b.b.3.6
2-2e2-4.3-c20-0-2 $3.18$ $10.1$ $2$ $2^{2}$ 4.3 $20.0$ $20$ ✓ ✓ ✓ ✓ $0$ $0$ $0.869908$ Modular form 4.21.b.a Modular form 4.21.b.a.3.1
2-2e2-4.3-c20-0-3 $3.18$ $10.1$ $2$ $2^{2}$ 4.3 $20.0$ $20$ ✓ ✓ $-0.227$ $0$ $1.14912$ Modular form 4.21.b.b.3.2
2-2e2-4.3-c20-0-4 $3.18$ $10.1$ $2$ $2^{2}$ 4.3 $20.0$ $20$ ✓ ✓ $-0.112$ $0$ $1.37907$ Modular form 4.21.b.b.3.7
2-2e2-4.3-c20-0-5 $3.18$ $10.1$ $2$ $2^{2}$ 4.3 $20.0$ $20$ ✓ ✓ $0.227$ $0$ $1.54756$ Modular form 4.21.b.b.3.1
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