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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
2-588-147.107-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.107 $0.0$ 0 ✓ ✓ $0.197$ $0$ $1.81313$ Modular form 588.1.z.a.401.1
2-588-147.11-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.11 $0.0$ 0 ✓ ✓ $-0.197$ $0$ $0.850387$ Modular form 588.1.z.a.305.1
2-588-147.137-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.137 $0.0$ 0 ✓ ✓ $0.115$ $0$ $2.14655$ Modular form 588.1.z.a.137.1
2-588-147.2-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.2 $0.0$ 0 ✓ ✓ $0.136$ $0$ $2.06715$ Modular form 588.1.z.a.149.1
2-588-147.23-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.23 $0.0$ 0 ✓ ✓ $0.0816$ $0$ $2.26525$ Modular form 588.1.z.a.317.1
2-588-147.32-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.32 $0.0$ 0 ✓ ✓ $-0.0816$ $0$ $1.67903$ Modular form 588.1.z.a.473.1
2-588-147.44-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.44 $0.0$ 0 ✓ ✓ $-0.115$ $0$ $1.51278$ Modular form 588.1.z.a.485.1
2-588-147.53-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.53 $0.0$ 0 ✓ ✓ $0.0816$ $0$ $1.54830$ Modular form 588.1.z.a.53.1
2-588-147.65-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.65 $0.0$ 0 ✓ ✓ $-0.217$ $0$ $1.23546$ Modular form 588.1.z.a.65.1
2-588-147.74-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.74 $0.0$ 0 ✓ ✓ $-0.136$ $0$ $1.55666$ Modular form 588.1.z.a.221.1
2-588-147.86-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.86 $0.0$ 0 ✓ ✓ $-0.0816$ $0$ $1.38529$ Modular form 588.1.z.a.233.1
2-588-147.95-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.95 $0.0$ 0 ✓ ✓ $0.217$ $0$ $2.26339$ Modular form 588.1.z.a.389.1
2-588-21.11-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 21.11 $0.0$ 0 ✓ ✓ $0.146$ $0$ $2.12038$ Modular form 588.1.p.a.557.1
2-588-21.2-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 21.2 $0.0$ 0 ✓ ✓ $-0.146$ $0$ $1.47570$ Modular form 588.1.p.a.569.1
2-588-3.2-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.34244$ Artin representation 2.588.6t3.b Artin representation 2.588.6t3.b.a Modular form 588.1.c.a Modular form 588.1.c.a.197.1
2-588-3.2-c0-0-1 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.93605$ Artin representation 2.588.3t2.a Artin representation 2.588.3t2.a.a Modular form 588.1.c.b Modular form 588.1.c.b.197.1
2-588-1.1-c1-0-0 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.972099$ Elliptic curve 588.a Modular form 588.2.a.a Modular form 588.2.a.a.1.1
2-588-1.1-c1-0-1 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.14653$ Elliptic curve 588.d Modular form 588.2.a.d Modular form 588.2.a.d.1.1
2-588-1.1-c1-0-2 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.51338$ Elliptic curve 588.e Modular form 588.2.a.e Modular form 588.2.a.e.1.1
2-588-1.1-c1-0-3 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.52796$ Elliptic curve 588.f Modular form 588.2.a.f Modular form 588.2.a.f.1.1
2-588-1.1-c1-0-4 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.96358$ Elliptic curve 588.b Modular form 588.2.a.b Modular form 588.2.a.b.1.1
2-588-1.1-c1-0-5 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.08973$ Elliptic curve 588.c Modular form 588.2.a.c Modular form 588.2.a.c.1.1
2-588-12.11-c1-0-0 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.309$ $0$ $0.0569307$ Modular form 588.2.e.e.491.2
2-588-12.11-c1-0-1 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.444$ $0$ $0.117647$ Modular form 588.2.e.f.491.8
2-588-12.11-c1-0-10 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.386$ $0$ $0.558051$ Modular form 588.2.e.c.491.4
2-588-12.11-c1-0-11 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.250$ $0$ $0.634806$ Modular form 588.2.e.a.491.2
2-588-12.11-c1-0-12 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.154$ $0$ $0.688810$ Modular form 588.2.e.d.491.4
2-588-12.11-c1-0-13 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.491$ $0$ $0.776968$ Modular form 588.2.e.f.491.16
2-588-12.11-c1-0-14 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.00871$ $0$ $0.783472$ Modular form 588.2.e.f.491.13
2-588-12.11-c1-0-15 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.432$ $0$ $0.791298$ Modular form 588.2.e.f.491.23
2-588-12.11-c1-0-16 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.357$ $0$ $0.801196$ Modular form 588.2.e.b.491.3
2-588-12.11-c1-0-17 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.309$ $0$ $0.802591$ Modular form 588.2.e.d.491.1
2-588-12.11-c1-0-18 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.134$ $0$ $0.846182$ Modular form 588.2.e.e.491.5
2-588-12.11-c1-0-19 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.480$ $0$ $0.859615$ Modular form 588.2.e.f.491.19
2-588-12.11-c1-0-2 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.223$ $0$ $0.218567$ Modular form 588.2.e.b.491.5
2-588-12.11-c1-0-20 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.247$ $0$ $0.891983$ Modular form 588.2.e.e.491.10
2-588-12.11-c1-0-21 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.142$ $0$ $0.895249$ Modular form 588.2.e.b.491.2
2-588-12.11-c1-0-22 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.154$ $0$ $1.00804$ Modular form 588.2.e.d.491.3
2-588-12.11-c1-0-23 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0627$ $0$ $1.01214$ Modular form 588.2.e.c.491.1
2-588-12.11-c1-0-24 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.0627$ $0$ $1.01323$ Modular form 588.2.e.c.491.2
2-588-12.11-c1-0-25 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.191$ $0$ $1.05191$ Modular form 588.2.e.f.491.4
2-588-12.11-c1-0-26 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.286$ $0$ $1.11096$ Modular form 588.2.e.f.491.12
2-588-12.11-c1-0-27 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.134$ $0$ $1.13306$ Modular form 588.2.e.d.491.6
2-588-12.11-c1-0-28 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.154$ $0$ $1.16327$ Modular form 588.2.e.e.491.4
2-588-12.11-c1-0-29 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.276$ $0$ $1.20357$ Modular form 588.2.e.b.491.8
2-588-12.11-c1-0-3 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.439$ $0$ $0.288469$ Modular form 588.2.e.c.491.6
2-588-12.11-c1-0-30 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.134$ $0$ $1.20956$ Modular form 588.2.e.e.491.6
2-588-12.11-c1-0-31 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $-0.250$ $0$ $1.23397$ Modular form 588.2.e.a.491.4
2-588-12.11-c1-0-32 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.00871$ $0$ $1.27295$ Modular form 588.2.e.f.491.15
2-588-12.11-c1-0-33 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $1.0$ $1$ ✓ ✓ $0.134$ $0$ $1.28383$ Modular form 588.2.e.d.491.5
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