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Download displayed columns for results| Label | $\alpha$ | $A$ | $d$ | $N$ | $\chi$ | $\mu$ | $\nu$ | $w$ | prim | arith | $\mathbb{Q}$ | self-dual | $\operatorname{Arg}(\epsilon)$ | $r$ | First zero | Origin |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-42-21.11-c2-0-0 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.405$ | $0$ | $0.675479$ | Modular form 42.3.h.b.11.1 | |||
| 2-42-21.11-c2-0-1 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.0455$ | $0$ | $2.36855$ | Modular form 42.3.h.b.11.2 | |||
| 2-42-21.11-c2-0-2 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.00773$ | $0$ | $2.66180$ | Modular form 42.3.h.b.11.4 | |||
| 2-42-21.11-c2-0-3 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.147$ | $0$ | $2.80747$ | Modular form 42.3.h.a.11.1 | |||
| 2-42-21.11-c2-0-4 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0393$ | $0$ | $3.24154$ | Modular form 42.3.h.a.11.2 | |||
| 2-42-21.11-c2-0-5 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.165$ | $0$ | $3.83322$ | Modular form 42.3.h.b.11.3 | |||
| 2-42-21.2-c2-0-0 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.147$ | $0$ | $1.39112$ | Modular form 42.3.h.a.23.1 | |||
| 2-42-21.2-c2-0-1 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.165$ | $0$ | $2.12843$ | Modular form 42.3.h.b.23.3 | |||
| 2-42-21.2-c2-0-2 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.0455$ | $0$ | $2.47624$ | Modular form 42.3.h.b.23.2 | |||
| 2-42-21.2-c2-0-3 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.00773$ | $0$ | $3.01201$ | Modular form 42.3.h.b.23.4 | |||
| 2-42-21.2-c2-0-4 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0393$ | $0$ | $3.21653$ | Modular form 42.3.h.a.23.2 | |||
| 2-42-21.2-c2-0-5 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.405$ | $0$ | $3.91588$ | Modular form 42.3.h.b.23.1 | |||
| 2-42-3.2-c2-0-0 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.328$ | $0$ | $1.23197$ | Modular form 42.3.b.a.29.3 | |||
| 2-42-3.2-c2-0-1 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.171$ | $0$ | $2.25442$ | Modular form 42.3.b.a.29.4 | |||
| 2-42-3.2-c2-0-2 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.171$ | $0$ | $3.44301$ | Modular form 42.3.b.a.29.2 | |||
| 2-42-3.2-c2-0-3 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.328$ | $0$ | $4.00088$ | Modular form 42.3.b.a.29.1 | |||
| 2-42-7.3-c2-0-0 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.146$ | $0$ | $2.36411$ | Modular form 42.3.g.a.31.2 | |||
| 2-42-7.3-c2-0-1 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.3 | $2.0$ | $2$ | ✓ | ✓ | $0.106$ | $0$ | $2.72031$ | Modular form 42.3.g.a.31.1 | |||
| 2-42-7.5-c2-0-0 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.5 | $2.0$ | $2$ | ✓ | ✓ | $-0.106$ | $0$ | $2.20604$ | Modular form 42.3.g.a.19.1 | |||
| 2-42-7.5-c2-0-1 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.5 | $2.0$ | $2$ | ✓ | ✓ | $0.146$ | $0$ | $3.52432$ | Modular form 42.3.g.a.19.2 | |||
| 2-42-7.6-c2-0-0 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.6 | $2.0$ | $2$ | ✓ | ✓ | $-0.175$ | $0$ | $1.47387$ | Modular form 42.3.c.a.13.2 | |||
| 2-42-7.6-c2-0-1 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.6 | $2.0$ | $2$ | ✓ | ✓ | $-0.0519$ | $0$ | $2.65424$ | Modular form 42.3.c.a.13.4 | |||
| 2-42-7.6-c2-0-2 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.6 | $2.0$ | $2$ | ✓ | ✓ | $0.175$ | $0$ | $2.93119$ | Modular form 42.3.c.a.13.1 | |||
| 2-42-7.6-c2-0-3 | $1.06$ | $1.14$ | $2$ | $2 \cdot 3 \cdot 7$ | 7.6 | $2.0$ | $2$ | ✓ | ✓ | $0.0519$ | $0$ | $3.31428$ | Modular form 42.3.c.a.13.3 |