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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-52-13.11-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.107$ | $0$ | $1.96638$ | Modular form 52.3.k.a.37.2 | |||
2-52-13.11-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.11 | $2.0$ | $2$ | ✓ | ✓ | $0.281$ | $0$ | $3.51878$ | Modular form 52.3.k.a.37.1 | |||
2-52-13.2-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.149$ | $0$ | $1.84340$ | Modular form 52.3.k.a.41.2 | |||
2-52-13.2-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.2 | $2.0$ | $2$ | ✓ | ✓ | $0.137$ | $0$ | $2.85025$ | Modular form 52.3.k.a.41.1 | |||
2-52-13.5-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.5 | $2.0$ | $2$ | ✓ | ✓ | $-0.416$ | $0$ | $0.330374$ | Modular form 52.3.g.a.5.1 | |||
2-52-13.5-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.5 | $2.0$ | $2$ | ✓ | ✓ | $0.0369$ | $0$ | $2.45364$ | Modular form 52.3.g.a.5.2 | |||
2-52-13.5-c2-0-2 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.5 | $2.0$ | $2$ | ✓ | ✓ | $-0.0104$ | $0$ | $2.66137$ | Modular form 52.3.g.a.5.3 | |||
2-52-13.6-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.6 | $2.0$ | $2$ | ✓ | ✓ | $-0.281$ | $0$ | $1.12036$ | Modular form 52.3.k.a.45.1 | |||
2-52-13.6-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.6 | $2.0$ | $2$ | ✓ | ✓ | $0.107$ | $0$ | $2.91591$ | Modular form 52.3.k.a.45.2 | |||
2-52-13.7-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.7 | $2.0$ | $2$ | ✓ | ✓ | $-0.137$ | $0$ | $1.68216$ | Modular form 52.3.k.a.33.1 | |||
2-52-13.7-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.7 | $2.0$ | $2$ | ✓ | ✓ | $0.149$ | $0$ | $3.26698$ | Modular form 52.3.k.a.33.2 | |||
2-52-13.8-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.8 | $2.0$ | $2$ | ✓ | ✓ | $-0.0369$ | $0$ | $2.09698$ | Modular form 52.3.g.a.21.2 | |||
2-52-13.8-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.8 | $2.0$ | $2$ | ✓ | ✓ | $0.0104$ | $0$ | $2.82350$ | Modular form 52.3.g.a.21.3 | |||
2-52-13.8-c2-0-2 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 13.8 | $2.0$ | $2$ | ✓ | ✓ | $0.416$ | $0$ | $3.70342$ | Modular form 52.3.g.a.21.1 | |||
2-52-4.3-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.281$ | $0$ | $0.686209$ | Modular form 52.3.c.a.27.3 | |||
2-52-4.3-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.403$ | $0$ | $1.22046$ | Modular form 52.3.c.a.27.6 | |||
2-52-4.3-c2-0-10 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.211$ | $0$ | $3.60575$ | Modular form 52.3.c.a.27.9 | |||
2-52-4.3-c2-0-11 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.403$ | $0$ | $4.14687$ | Modular form 52.3.c.a.27.5 | |||
2-52-4.3-c2-0-2 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.125$ | $0$ | $1.59973$ | Modular form 52.3.c.a.27.2 | |||
2-52-4.3-c2-0-3 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0291$ | $0$ | $1.79914$ | Modular form 52.3.c.a.27.7 | |||
2-52-4.3-c2-0-4 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.211$ | $0$ | $2.01040$ | Modular form 52.3.c.a.27.10 | |||
2-52-4.3-c2-0-5 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.125$ | $0$ | $2.20011$ | Modular form 52.3.c.a.27.1 | |||
2-52-4.3-c2-0-6 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0745$ | $0$ | $2.41230$ | Modular form 52.3.c.a.27.11 | |||
2-52-4.3-c2-0-7 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0291$ | $0$ | $2.71712$ | Modular form 52.3.c.a.27.8 | |||
2-52-4.3-c2-0-8 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.281$ | $0$ | $3.21471$ | Modular form 52.3.c.a.27.4 | |||
2-52-4.3-c2-0-9 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0745$ | $0$ | $3.60376$ | Modular form 52.3.c.a.27.12 | |||
2-52-52.23-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $-0.244$ | $0$ | $0.632200$ | Modular form 52.3.i.b.23.4 | |||
2-52-52.23-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $-0.468$ | $0$ | $0.768147$ | Modular form 52.3.i.b.23.5 | |||
2-52-52.23-c2-0-10 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $0.314$ | $0$ | $3.51583$ | Modular form 52.3.i.b.23.6 | |||
2-52-52.23-c2-0-11 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $0.219$ | $0$ | $3.73468$ | Modular form 52.3.i.b.23.7 | |||
2-52-52.23-c2-0-2 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $-0.268$ | $0$ | $1.13753$ | Modular form 52.3.i.a.23.1 | |||
2-52-52.23-c2-0-3 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $-0.229$ | $0$ | $1.62200$ | Modular form 52.3.i.b.23.10 | |||
2-52-52.23-c2-0-4 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $0.244$ | $0$ | $2.34020$ | Modular form 52.3.i.b.23.1 | |||
2-52-52.23-c2-0-5 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $-0.150$ | $0$ | $2.35622$ | Modular form 52.3.i.b.23.8 | |||
2-52-52.23-c2-0-6 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $0.167$ | $0$ | $2.60765$ | Modular form 52.3.i.b.23.2 | |||
2-52-52.23-c2-0-7 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $-0.0596$ | $0$ | $2.84025$ | Modular form 52.3.i.b.23.9 | |||
2-52-52.23-c2-0-8 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $0.0360$ | $0$ | $2.95373$ | Modular form 52.3.i.b.23.3 | |||
2-52-52.23-c2-0-9 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.23 | $2.0$ | $2$ | ✓ | ✓ | $0.105$ | $0$ | $3.20741$ | Modular form 52.3.i.a.23.2 | |||
2-52-52.3-c2-0-0 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $0.471$ | $0$ | $0.0170077$ | Modular form 52.3.j.a.3.1 | |||
2-52-52.3-c2-0-1 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $0.487$ | $0$ | $0.528598$ | Modular form 52.3.j.a.3.5 | |||
2-52-52.3-c2-0-10 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $0.199$ | $0$ | $3.72424$ | Modular form 52.3.j.a.3.9 | |||
2-52-52.3-c2-0-11 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.413$ | $0$ | $4.66104$ | Modular form 52.3.j.a.3.7 | |||
2-52-52.3-c2-0-2 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0517$ | $0$ | $1.38667$ | Modular form 52.3.j.a.3.3 | |||
2-52-52.3-c2-0-3 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.281$ | $0$ | $1.54741$ | Modular form 52.3.j.a.3.10 | |||
2-52-52.3-c2-0-4 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0620$ | $0$ | $2.08950$ | Modular form 52.3.j.a.3.4 | |||
2-52-52.3-c2-0-5 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.125$ | $0$ | $2.55269$ | Modular form 52.3.j.a.3.8 | |||
2-52-52.3-c2-0-6 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $0.165$ | $0$ | $2.80203$ | Modular form 52.3.j.a.3.2 | |||
2-52-52.3-c2-0-7 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0506$ | $0$ | $2.84839$ | Modular form 52.3.j.a.3.11 | |||
2-52-52.3-c2-0-8 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0164$ | $0$ | $3.20649$ | Modular form 52.3.j.a.3.12 | |||
2-52-52.3-c2-0-9 | $1.19$ | $1.41$ | $2$ | $2^{2} \cdot 13$ | 52.3 | $2.0$ | $2$ | ✓ | ✓ | $0.241$ | $0$ | $3.30212$ | Modular form 52.3.j.a.3.6 |