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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-780-195.122-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.122 | $0.0$ | 0 | ✓ | ✓ | $-0.134$ | $0$ | $0.935759$ | Modular form 780.1.t.a.317.1 | |||
| 2-780-195.122-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.122 | $0.0$ | 0 | ✓ | ✓ | $-0.134$ | $0$ | $1.30858$ | Modular form 780.1.t.a.317.2 | |||
| 2-780-195.194-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.194 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.06420$ | Artin representation 2.780.6t3.f Artin representation 2.780.6t3.f.a Modular form 780.1.o.a Modular form 780.1.o.a.389.1 | |
| 2-780-195.194-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.194 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.43808$ | Artin representation 2.780.6t3.a Artin representation 2.780.6t3.a.a Modular form 780.1.o.b Modular form 780.1.o.b.389.1 | |
| 2-780-195.194-c0-0-2 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.194 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.71860$ | Artin representation 2.780.6t3.c Artin representation 2.780.6t3.c.a Modular form 780.1.o.c Modular form 780.1.o.c.389.1 | |
| 2-780-195.194-c0-0-3 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.194 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.89260$ | Artin representation 2.780.3t2.a Artin representation 2.780.3t2.a.a Modular form 780.1.o.d Modular form 780.1.o.d.389.1 | |
| 2-780-195.47-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.47 | $0.0$ | 0 | ✓ | ✓ | $-0.0413$ | $0$ | $1.06148$ | Modular form 780.1.bo.a.437.1 | |||
| 2-780-195.47-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.47 | $0.0$ | 0 | ✓ | ✓ | $-0.0413$ | $0$ | $2.02551$ | Modular form 780.1.bo.a.437.2 | |||
| 2-780-195.8-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.8 | $0.0$ | 0 | ✓ | ✓ | $0.134$ | $0$ | $1.91402$ | Modular form 780.1.t.a.593.2 | |||
| 2-780-195.8-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.8 | $0.0$ | 0 | ✓ | ✓ | $0.134$ | $0$ | $2.00449$ | Modular form 780.1.t.a.593.1 | |||
| 2-780-195.83-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.83 | $0.0$ | 0 | ✓ | ✓ | $0.0413$ | $0$ | $1.49772$ | Modular form 780.1.bo.a.473.1 | |||
| 2-780-195.83-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 195.83 | $0.0$ | 0 | ✓ | ✓ | $0.0413$ | $0$ | $1.87372$ | Modular form 780.1.bo.a.473.2 | |||
| 2-780-780.467-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $-0.400$ | $0$ | $0.839125$ | Modular form 780.1.w.b.467.2 | |||
| 2-780-780.467-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $-0.150$ | $0$ | $0.884436$ | Modular form 780.1.w.a.467.1 | |||
| 2-780-780.467-c0-0-2 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $-0.150$ | $0$ | $1.25126$ | Modular form 780.1.w.b.467.4 | |||
| 2-780-780.467-c0-0-3 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $-0.400$ | $0$ | $1.26058$ | Modular form 780.1.w.a.467.3 | |||
| 2-780-780.467-c0-0-4 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $0.0993$ | $0$ | $1.56297$ | Modular form 780.1.w.a.467.2 | |||
| 2-780-780.467-c0-0-5 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $0.349$ | $0$ | $1.79905$ | Modular form 780.1.w.b.467.1 | |||
| 2-780-780.467-c0-0-6 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $0.0993$ | $0$ | $1.87043$ | Modular form 780.1.w.b.467.3 | |||
| 2-780-780.467-c0-0-7 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.467 | $0.0$ | 0 | ✓ | ✓ | $0.349$ | $0$ | $2.55981$ | Modular form 780.1.w.a.467.4 | |||
| 2-780-780.623-c0-0-0 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $-0.349$ | $0$ | $0.832859$ | Modular form 780.1.w.b.623.1 | |||
| 2-780-780.623-c0-0-1 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $-0.349$ | $0$ | $0.963637$ | Modular form 780.1.w.a.623.4 | |||
| 2-780-780.623-c0-0-2 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $-0.0993$ | $0$ | $1.57585$ | Modular form 780.1.w.a.623.2 | |||
| 2-780-780.623-c0-0-3 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $0.150$ | $0$ | $1.71591$ | Modular form 780.1.w.a.623.1 | |||
| 2-780-780.623-c0-0-4 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $-0.0993$ | $0$ | $1.88440$ | Modular form 780.1.w.b.623.3 | |||
| 2-780-780.623-c0-0-5 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $0.150$ | $0$ | $2.05688$ | Modular form 780.1.w.b.623.4 | |||
| 2-780-780.623-c0-0-6 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $0.400$ | $0$ | $2.08661$ | Modular form 780.1.w.b.623.2 | |||
| 2-780-780.623-c0-0-7 | $0.623$ | $0.389$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 780.623 | $0.0$ | 0 | ✓ | ✓ | $0.400$ | $0$ | $2.85941$ | Modular form 780.1.w.a.623.3 | |||
| 2-780-1.1-c1-0-0 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.827497$ | Modular form 780.2.a.e.1.1 | ||
| 2-780-1.1-c1-0-1 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.03761$ | Modular form 780.2.a.e.1.2 | ||
| 2-780-1.1-c1-0-2 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.18686$ | Elliptic curve 780.b Modular form 780.2.a.b Modular form 780.2.a.b.1.1 | |
| 2-780-1.1-c1-0-3 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.20374$ | Elliptic curve 780.d Modular form 780.2.a.d Modular form 780.2.a.d.1.1 | |
| 2-780-1.1-c1-0-4 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.31791$ | Modular form 780.2.a.f.1.1 | ||
| 2-780-1.1-c1-0-5 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.50872$ | Modular form 780.2.a.f.1.2 | ||
| 2-780-1.1-c1-0-6 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.95763$ | Elliptic curve 780.a Modular form 780.2.a.a Modular form 780.2.a.a.1.1 | |
| 2-780-1.1-c1-0-7 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.27784$ | Elliptic curve 780.c Modular form 780.2.a.c Modular form 780.2.a.c.1.1 | |
| 2-780-12.11-c1-0-0 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.389$ | $0$ | $0.134511$ | Modular form 780.2.g.e.131.15 | |||
| 2-780-12.11-c1-0-1 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $0.285$ | $0$ | $0.146055$ | Modular form 780.2.g.a.131.5 | |||
| 2-780-12.11-c1-0-10 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $0.384$ | $0$ | $0.369371$ | Modular form 780.2.g.c.131.4 | |||
| 2-780-12.11-c1-0-11 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.0306$ | $0$ | $0.407696$ | Modular form 780.2.g.d.131.17 | |||
| 2-780-12.11-c1-0-12 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.315$ | $0$ | $0.472503$ | Modular form 780.2.g.e.131.11 | |||
| 2-780-12.11-c1-0-13 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.395$ | $0$ | $0.484803$ | Modular form 780.2.g.b.131.8 | |||
| 2-780-12.11-c1-0-14 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $0.363$ | $0$ | $0.487839$ | Modular form 780.2.g.e.131.24 | |||
| 2-780-12.11-c1-0-15 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.0403$ | $0$ | $0.547612$ | Modular form 780.2.g.e.131.7 | |||
| 2-780-12.11-c1-0-16 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.473$ | $0$ | $0.553335$ | Modular form 780.2.g.d.131.14 | |||
| 2-780-12.11-c1-0-17 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.375$ | $0$ | $0.572124$ | Modular form 780.2.g.e.131.28 | |||
| 2-780-12.11-c1-0-18 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0354$ | $0$ | $0.612394$ | Modular form 780.2.g.e.131.21 | |||
| 2-780-12.11-c1-0-19 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.160$ | $0$ | $0.622616$ | Modular form 780.2.g.a.131.3 | |||
| 2-780-12.11-c1-0-2 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.313$ | $0$ | $0.193403$ | Modular form 780.2.g.e.131.5 | |||
| 2-780-12.11-c1-0-20 | $2.49$ | $6.22$ | $2$ | $2^{2} \cdot 3 \cdot 5 \cdot 13$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.465$ | $0$ | $0.652520$ | Modular form 780.2.g.e.131.14 |