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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-50-1.1-c5-0-0 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.945162$ | Modular form 50.6.a.a Modular form 50.6.a.a.1.1 | |
2-50-1.1-c5-0-1 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.30148$ | Modular form 50.6.a.d Modular form 50.6.a.d.1.1 | |
2-50-1.1-c5-0-2 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.46276$ | Modular form 50.6.a.c Modular form 50.6.a.c.1.1 | |
2-50-1.1-c5-0-3 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.91787$ | Modular form 50.6.a.f Modular form 50.6.a.f.1.1 | |
2-50-1.1-c5-0-4 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.21759$ | Modular form 50.6.a.b Modular form 50.6.a.b.1.1 | |
2-50-1.1-c5-0-5 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.24804$ | Modular form 50.6.a.g Modular form 50.6.a.g.1.1 | |
2-50-1.1-c5-0-6 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.88836$ | Modular form 50.6.a.e Modular form 50.6.a.e.1.1 | |
2-50-25.11-c5-0-0 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.482$ | $0$ | $0.160111$ | Modular form 50.6.d.b.11.1 | |||
2-50-25.11-c5-0-1 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.382$ | $0$ | $0.177439$ | Modular form 50.6.d.a.11.3 | |||
2-50-25.11-c5-0-10 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.418$ | $0$ | $2.71420$ | Modular form 50.6.d.a.11.5 | |||
2-50-25.11-c5-0-11 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.484$ | $0$ | $3.26504$ | Modular form 50.6.d.b.11.5 | |||
2-50-25.11-c5-0-12 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.411$ | $0$ | $3.35607$ | Modular form 50.6.d.b.11.7 | |||
2-50-25.11-c5-0-2 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $-0.284$ | $0$ | $0.707692$ | Modular form 50.6.d.b.11.2 | |||
2-50-25.11-c5-0-3 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $-0.199$ | $0$ | $0.753005$ | Modular form 50.6.d.a.11.4 | |||
2-50-25.11-c5-0-4 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $-0.254$ | $0$ | $1.06510$ | Modular form 50.6.d.a.11.2 | |||
2-50-25.11-c5-0-5 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $-0.00626$ | $0$ | $1.42528$ | Modular form 50.6.d.b.11.4 | |||
2-50-25.11-c5-0-6 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.135$ | $0$ | $1.46393$ | Modular form 50.6.d.a.11.1 | |||
2-50-25.11-c5-0-7 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.0787$ | $0$ | $1.76037$ | Modular form 50.6.d.b.11.3 | |||
2-50-25.11-c5-0-8 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.197$ | $0$ | $1.99211$ | Modular form 50.6.d.a.11.6 | |||
2-50-25.11-c5-0-9 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.11 | $5.0$ | $5$ | ✓ | ✓ | $0.293$ | $0$ | $2.69893$ | Modular form 50.6.d.b.11.6 | |||
2-50-25.14-c5-0-0 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.452$ | $0$ | $0.202466$ | Modular form 50.6.e.a.39.10 | |||
2-50-25.14-c5-0-1 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.0129$ | $0$ | $0.577849$ | Modular form 50.6.e.a.39.1 | |||
2-50-25.14-c5-0-10 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.485$ | $0$ | $2.29362$ | Modular form 50.6.e.a.39.3 | |||
2-50-25.14-c5-0-11 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $-0.387$ | $0$ | $2.78991$ | Modular form 50.6.e.a.39.4 | |||
2-50-25.14-c5-0-2 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $-0.379$ | $0$ | $0.606090$ | Modular form 50.6.e.a.39.8 | |||
2-50-25.14-c5-0-3 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $-0.288$ | $0$ | $1.23749$ | Modular form 50.6.e.a.39.12 | |||
2-50-25.14-c5-0-4 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.166$ | $0$ | $1.31274$ | Modular form 50.6.e.a.39.2 | |||
2-50-25.14-c5-0-5 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.0585$ | $0$ | $1.32343$ | Modular form 50.6.e.a.39.7 | |||
2-50-25.14-c5-0-6 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $-0.213$ | $0$ | $1.63801$ | Modular form 50.6.e.a.39.11 | |||
2-50-25.14-c5-0-7 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.0108$ | $0$ | $1.65090$ | Modular form 50.6.e.a.39.6 | |||
2-50-25.14-c5-0-8 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.272$ | $0$ | $2.08715$ | Modular form 50.6.e.a.39.5 | |||
2-50-25.14-c5-0-9 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.14 | $5.0$ | $5$ | ✓ | ✓ | $0.169$ | $0$ | $2.10027$ | Modular form 50.6.e.a.39.9 | |||
2-50-25.16-c5-0-0 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.135$ | $0$ | $0.324624$ | Modular form 50.6.d.a.41.1 | |||
2-50-25.16-c5-0-1 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.484$ | $0$ | $0.386829$ | Modular form 50.6.d.b.41.5 | |||
2-50-25.16-c5-0-10 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $0.284$ | $0$ | $2.61717$ | Modular form 50.6.d.b.41.2 | |||
2-50-25.16-c5-0-11 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.382$ | $0$ | $2.85581$ | Modular form 50.6.d.a.41.3 | |||
2-50-25.16-c5-0-12 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.482$ | $0$ | $3.35900$ | Modular form 50.6.d.b.41.1 | |||
2-50-25.16-c5-0-2 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.418$ | $0$ | $0.467081$ | Modular form 50.6.d.a.41.5 | |||
2-50-25.16-c5-0-3 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.411$ | $0$ | $1.03124$ | Modular form 50.6.d.b.41.7 | |||
2-50-25.16-c5-0-4 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.197$ | $0$ | $1.19106$ | Modular form 50.6.d.a.41.6 | |||
2-50-25.16-c5-0-5 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.293$ | $0$ | $1.36046$ | Modular form 50.6.d.b.41.6 | |||
2-50-25.16-c5-0-6 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $-0.0787$ | $0$ | $1.42784$ | Modular form 50.6.d.b.41.3 | |||
2-50-25.16-c5-0-7 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $0.199$ | $0$ | $1.54927$ | Modular form 50.6.d.a.41.4 | |||
2-50-25.16-c5-0-8 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $0.254$ | $0$ | $1.69356$ | Modular form 50.6.d.a.41.2 | |||
2-50-25.16-c5-0-9 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.16 | $5.0$ | $5$ | ✓ | ✓ | $0.00626$ | $0$ | $1.78033$ | Modular form 50.6.d.b.41.4 | |||
2-50-25.19-c5-0-0 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.19 | $5.0$ | $5$ | ✓ | ✓ | $0.482$ | $0$ | $0.347840$ | Modular form 50.6.e.a.19.6 | |||
2-50-25.19-c5-0-1 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.19 | $5.0$ | $5$ | ✓ | ✓ | $-0.198$ | $0$ | $1.07144$ | Modular form 50.6.e.a.19.4 | |||
2-50-25.19-c5-0-10 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.19 | $5.0$ | $5$ | ✓ | ✓ | $-0.309$ | $0$ | $3.13137$ | Modular form 50.6.e.a.19.1 | |||
2-50-25.19-c5-0-11 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.19 | $5.0$ | $5$ | ✓ | ✓ | $-0.457$ | $0$ | $3.56638$ | Modular form 50.6.e.a.19.7 | |||
2-50-25.19-c5-0-2 | $2.83$ | $8.01$ | $2$ | $2 \cdot 5^{2}$ | 25.19 | $5.0$ | $5$ | ✓ | ✓ | $-0.208$ | $0$ | $1.23266$ | Modular form 50.6.e.a.19.11 |