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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
2-55-55.54-c0-0-0 $0.165$ $0.0274$ $2$ $5 \cdot 11$ 55.54 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $3.81577$ Artin representation 2.55.4t3.c Artin representation 2.55.4t3.c.a Modular form 55.1.d.a Modular form 55.1.d.a.54.1
2-55-1.1-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.03212$ Modular form 55.2.a.b.1.1
2-55-1.1-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.25423$ Elliptic curve 55.a Modular form 55.2.a.a Modular form 55.2.a.a.1.1
2-55-1.1-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.70347$ Modular form 55.2.a.b.1.2
2-55-11.3-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.222$ $0$ $1.67710$ Modular form 55.2.g.b.36.1
2-55-11.3-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.117$ $0$ $2.22958$ Modular form 55.2.g.a.36.2
2-55-11.3-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.171$ $0$ $2.95266$ Modular form 55.2.g.a.36.1
2-55-11.3-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.154$ $0$ $4.03154$ Modular form 55.2.g.b.36.2
2-55-11.4-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.171$ $0$ $0.984038$ Modular form 55.2.g.a.26.1
2-55-11.4-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.154$ $0$ $2.31346$ Modular form 55.2.g.b.26.2
2-55-11.4-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.222$ $0$ $3.38011$ Modular form 55.2.g.b.26.1
2-55-11.4-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.117$ $0$ $3.78641$ Modular form 55.2.g.a.26.2
2-55-11.5-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.5 $1.0$ $1$ ✓ ✓ $-0.236$ $0$ $2.46353$ Modular form 55.2.g.a.16.2
2-55-11.5-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.5 $1.0$ $1$ ✓ ✓ $-0.0335$ $0$ $2.86878$ Modular form 55.2.g.b.16.2
2-55-11.5-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.5 $1.0$ $1$ ✓ ✓ $0.175$ $0$ $3.28912$ Modular form 55.2.g.a.16.1
2-55-11.5-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.5 $1.0$ $1$ ✓ ✓ $0.402$ $0$ $4.91783$ Modular form 55.2.g.b.16.1
2-55-11.9-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.9 $1.0$ $1$ ✓ ✓ $-0.402$ $0$ $1.34817$ Modular form 55.2.g.b.31.1
2-55-11.9-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.9 $1.0$ $1$ ✓ ✓ $-0.175$ $0$ $2.54691$ Modular form 55.2.g.a.31.1
2-55-11.9-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.9 $1.0$ $1$ ✓ ✓ $0.0335$ $0$ $2.92168$ Modular form 55.2.g.b.31.2
2-55-11.9-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 11.9 $1.0$ $1$ ✓ ✓ $0.236$ $0$ $4.26370$ Modular form 55.2.g.a.31.2
2-55-5.4-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 5.4 $1.0$ $1$ ✓ ✓ $-0.299$ $0$ $2.09429$ Modular form 55.2.b.a.34.4
2-55-5.4-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 5.4 $1.0$ $1$ ✓ ✓ $-0.0336$ $0$ $2.45217$ Modular form 55.2.b.a.34.2
2-55-5.4-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 5.4 $1.0$ $1$ ✓ ✓ $0.0336$ $0$ $3.47984$ Modular form 55.2.b.a.34.3
2-55-5.4-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 5.4 $1.0$ $1$ ✓ ✓ $0.299$ $0$ $4.27157$ Modular form 55.2.b.a.34.1
2-55-55.13-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.13 $1.0$ $1$ ✓ ✓ $-0.446$ $0$ $0.379565$ Modular form 55.2.l.a.13.2
2-55-55.13-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.13 $1.0$ $1$ ✓ ✓ $-0.208$ $0$ $1.79196$ Modular form 55.2.l.a.13.1
2-55-55.13-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.13 $1.0$ $1$ ✓ ✓ $-0.0795$ $0$ $2.33585$ Modular form 55.2.l.a.13.3
2-55-55.13-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.13 $1.0$ $1$ ✓ ✓ $0.0802$ $0$ $3.74359$ Modular form 55.2.l.a.13.4
2-55-55.14-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.14 $1.0$ $1$ ✓ ✓ $-0.234$ $0$ $2.26510$ Modular form 55.2.j.a.14.4
2-55-55.14-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.14 $1.0$ $1$ ✓ ✓ $-0.0928$ $0$ $3.10293$ Modular form 55.2.j.a.14.3
2-55-55.14-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.14 $1.0$ $1$ ✓ ✓ $0.210$ $0$ $3.40210$ Modular form 55.2.j.a.14.2
2-55-55.14-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.14 $1.0$ $1$ ✓ ✓ $0.223$ $0$ $3.52100$ Modular form 55.2.j.a.14.1
2-55-55.17-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.17 $1.0$ $1$ ✓ ✓ $0.208$ $0$ $2.87748$ Modular form 55.2.l.a.17.1
2-55-55.17-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.17 $1.0$ $1$ ✓ ✓ $-0.0802$ $0$ $2.98425$ Modular form 55.2.l.a.17.4
2-55-55.17-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.17 $1.0$ $1$ ✓ ✓ $0.0795$ $0$ $3.06776$ Modular form 55.2.l.a.17.3
2-55-55.17-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.17 $1.0$ $1$ ✓ ✓ $0.446$ $0$ $4.25292$ Modular form 55.2.l.a.17.2
2-55-55.18-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.18 $1.0$ $1$ ✓ ✓ $-0.266$ $0$ $1.75439$ Modular form 55.2.l.a.18.3
2-55-55.18-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.18 $1.0$ $1$ ✓ ✓ $-0.255$ $0$ $2.59701$ Modular form 55.2.l.a.18.4
2-55-55.18-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.18 $1.0$ $1$ ✓ ✓ $0.0631$ $0$ $2.91867$ Modular form 55.2.l.a.18.2
2-55-55.18-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.18 $1.0$ $1$ ✓ ✓ $0.198$ $0$ $3.68367$ Modular form 55.2.l.a.18.1
2-55-55.2-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.2 $1.0$ $1$ ✓ ✓ $-0.0146$ $0$ $2.30201$ Modular form 55.2.l.a.2.2
2-55-55.2-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.2 $1.0$ $1$ ✓ ✓ $-0.162$ $0$ $2.74666$ Modular form 55.2.l.a.2.4
2-55-55.2-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.2 $1.0$ $1$ ✓ ✓ $0.134$ $0$ $3.45552$ Modular form 55.2.l.a.2.3
2-55-55.2-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.2 $1.0$ $1$ ✓ ✓ $0.388$ $0$ $4.58722$ Modular form 55.2.l.a.2.1
2-55-55.28-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.28 $1.0$ $1$ ✓ ✓ $-0.388$ $0$ $1.73400$ Modular form 55.2.l.a.28.1
2-55-55.28-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.28 $1.0$ $1$ ✓ ✓ $-0.134$ $0$ $2.23701$ Modular form 55.2.l.a.28.3
2-55-55.28-c1-0-2 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.28 $1.0$ $1$ ✓ ✓ $0.0146$ $0$ $2.90621$ Modular form 55.2.l.a.28.2
2-55-55.28-c1-0-3 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.28 $1.0$ $1$ ✓ ✓ $0.162$ $0$ $3.94909$ Modular form 55.2.l.a.28.4
2-55-55.32-c1-0-0 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.32 $1.0$ $1$ ✓ ✓ $-0.460$ $0$ $0.872296$ Modular form 55.2.e.a.32.1
2-55-55.32-c1-0-1 $0.662$ $0.439$ $2$ $5 \cdot 11$ 55.32 $1.0$ $1$ ✓ ✓ $-0.205$ $0$ $1.63620$ Modular form 55.2.e.b.32.1
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