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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-7-7.6-c2-0-0 | $0.436$ | $0.190$ | $2$ | $7$ | 7.6 | $2.0$ | $2$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $7.21458$ | Modular form 7.3.b.a Modular form 7.3.b.a.6.1 | |
2-7-1.1-c3-0-0 | $0.642$ | $0.413$ | $2$ | $7$ | 1.1 | $3.0$ | $3$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $5.74560$ | Modular form 7.4.a.a Modular form 7.4.a.a.1.1 | |
2-7-7.2-c3-0-0 | $0.642$ | $0.413$ | $2$ | $7$ | 7.2 | $3.0$ | $3$ | ✓ | ✓ | $-0.0403$ | $0$ | $5.20239$ | Modular form 7.4.c.a.2.1 | |||
2-7-7.4-c3-0-0 | $0.642$ | $0.413$ | $2$ | $7$ | 7.4 | $3.0$ | $3$ | ✓ | ✓ | $0.0403$ | $0$ | $6.69000$ | Modular form 7.4.c.a.4.1 | |||
2-7-7.3-c4-0-0 | $0.850$ | $0.723$ | $2$ | $7$ | 7.3 | $4.0$ | $4$ | ✓ | ✓ | $-0.0537$ | $0$ | $4.41042$ | Modular form 7.5.d.a.3.2 | |||
2-7-7.3-c4-0-1 | $0.850$ | $0.723$ | $2$ | $7$ | 7.3 | $4.0$ | $4$ | ✓ | ✓ | $0.180$ | $0$ | $6.69324$ | Modular form 7.5.d.a.3.1 | |||
2-7-7.5-c4-0-0 | $0.850$ | $0.723$ | $2$ | $7$ | 7.5 | $4.0$ | $4$ | ✓ | ✓ | $-0.180$ | $0$ | $3.01511$ | Modular form 7.5.d.a.5.1 | |||
2-7-7.5-c4-0-1 | $0.850$ | $0.723$ | $2$ | $7$ | 7.5 | $4.0$ | $4$ | ✓ | ✓ | $0.0537$ | $0$ | $5.62660$ | Modular form 7.5.d.a.5.2 | |||
2-7-7.6-c4-0-0 | $0.850$ | $0.723$ | $2$ | $7$ | 7.6 | $4.0$ | $4$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $4.86176$ | Modular form 7.5.b.a Modular form 7.5.b.a.6.1 | |
2-7-1.1-c5-0-0 | $1.05$ | $1.12$ | $2$ | $7$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.97604$ | Modular form 7.6.a.b.1.1 | ||
2-7-1.1-c5-0-1 | $1.05$ | $1.12$ | $2$ | $7$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $4.95482$ | Modular form 7.6.a.b.1.2 | ||
2-7-1.1-c5-0-2 | $1.05$ | $1.12$ | $2$ | $7$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $6.89419$ | Modular form 7.6.a.a Modular form 7.6.a.a.1.1 | |
2-7-7.2-c5-0-0 | $1.05$ | $1.12$ | $2$ | $7$ | 7.2 | $5.0$ | $5$ | ✓ | ✓ | $-0.230$ | $0$ | $2.24580$ | Modular form 7.6.c.a.2.1 | |||
2-7-7.2-c5-0-1 | $1.05$ | $1.12$ | $2$ | $7$ | 7.2 | $5.0$ | $5$ | ✓ | ✓ | $0.104$ | $0$ | $5.12553$ | Modular form 7.6.c.a.2.2 | |||
2-7-7.4-c5-0-0 | $1.05$ | $1.12$ | $2$ | $7$ | 7.4 | $5.0$ | $5$ | ✓ | ✓ | $-0.104$ | $0$ | $3.43551$ | Modular form 7.6.c.a.4.2 | |||
2-7-7.4-c5-0-1 | $1.05$ | $1.12$ | $2$ | $7$ | 7.4 | $5.0$ | $5$ | ✓ | ✓ | $0.230$ | $0$ | $5.64713$ | Modular form 7.6.c.a.4.1 | |||
2-7-7.3-c6-0-0 | $1.26$ | $1.61$ | $2$ | $7$ | 7.3 | $6.0$ | $6$ | ✓ | ✓ | $-0.186$ | $0$ | $2.79702$ | Modular form 7.7.d.a.3.1 | |||
2-7-7.3-c6-0-1 | $1.26$ | $1.61$ | $2$ | $7$ | 7.3 | $6.0$ | $6$ | ✓ | ✓ | $-0.0343$ | $0$ | $3.10824$ | Modular form 7.7.d.b.3.2 | |||
2-7-7.3-c6-0-2 | $1.26$ | $1.61$ | $2$ | $7$ | 7.3 | $6.0$ | $6$ | ✓ | ✓ | $0.342$ | $0$ | $5.57324$ | Modular form 7.7.d.b.3.1 | |||
2-7-7.5-c6-0-0 | $1.26$ | $1.61$ | $2$ | $7$ | 7.5 | $6.0$ | $6$ | ✓ | ✓ | $-0.342$ | $0$ | $1.30502$ | Modular form 7.7.d.b.5.1 | |||
2-7-7.5-c6-0-1 | $1.26$ | $1.61$ | $2$ | $7$ | 7.5 | $6.0$ | $6$ | ✓ | ✓ | $0.0343$ | $0$ | $3.58012$ | Modular form 7.7.d.b.5.2 | |||
2-7-7.5-c6-0-2 | $1.26$ | $1.61$ | $2$ | $7$ | 7.5 | $6.0$ | $6$ | ✓ | ✓ | $0.186$ | $0$ | $5.35236$ | Modular form 7.7.d.a.5.1 | |||
2-7-7.6-c6-0-0 | $1.26$ | $1.61$ | $2$ | $7$ | 7.6 | $6.0$ | $6$ | ✓ | ✓ | $-0.313$ | $0$ | $1.07733$ | Modular form 7.7.b.b.6.2 | |||
2-7-7.6-c6-0-1 | $1.26$ | $1.61$ | $2$ | $7$ | 7.6 | $6.0$ | $6$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.96607$ | Modular form 7.7.b.a Modular form 7.7.b.a.6.1 | |
2-7-7.6-c6-0-2 | $1.26$ | $1.61$ | $2$ | $7$ | 7.6 | $6.0$ | $6$ | ✓ | ✓ | $0.313$ | $0$ | $4.71547$ | Modular form 7.7.b.b.6.1 | |||
2-7-1.1-c7-0-0 | $1.47$ | $2.18$ | $2$ | $7$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.21275$ | Modular form 7.8.a.b.1.1 | ||
2-7-1.1-c7-0-1 | $1.47$ | $2.18$ | $2$ | $7$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.54736$ | Modular form 7.8.a.b.1.2 | ||
2-7-1.1-c7-0-2 | $1.47$ | $2.18$ | $2$ | $7$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $5.12939$ | Modular form 7.8.a.a Modular form 7.8.a.a.1.1 | |
2-7-7.2-c7-0-0 | $1.47$ | $2.18$ | $2$ | $7$ | 7.2 | $7.0$ | $7$ | ✓ | ✓ | $0.454$ | $0$ | $0.447492$ | Modular form 7.8.c.a.2.1 | |||
2-7-7.2-c7-0-1 | $1.47$ | $2.18$ | $2$ | $7$ | 7.2 | $7.0$ | $7$ | ✓ | ✓ | $-0.171$ | $0$ | $1.94842$ | Modular form 7.8.c.a.2.2 | |||
2-7-7.2-c7-0-2 | $1.47$ | $2.18$ | $2$ | $7$ | 7.2 | $7.0$ | $7$ | ✓ | ✓ | $0.205$ | $0$ | $4.69535$ | Modular form 7.8.c.a.2.4 | |||
2-7-7.2-c7-0-3 | $1.47$ | $2.18$ | $2$ | $7$ | 7.2 | $7.0$ | $7$ | ✓ | ✓ | $0.258$ | $0$ | $4.73909$ | Modular form 7.8.c.a.2.3 | |||
2-7-7.4-c7-0-0 | $1.47$ | $2.18$ | $2$ | $7$ | 7.4 | $7.0$ | $7$ | ✓ | ✓ | $-0.258$ | $0$ | $1.70790$ | Modular form 7.8.c.a.4.3 | |||
2-7-7.4-c7-0-1 | $1.47$ | $2.18$ | $2$ | $7$ | 7.4 | $7.0$ | $7$ | ✓ | ✓ | $-0.205$ | $0$ | $2.80236$ | Modular form 7.8.c.a.4.4 | |||
2-7-7.4-c7-0-2 | $1.47$ | $2.18$ | $2$ | $7$ | 7.4 | $7.0$ | $7$ | ✓ | ✓ | $0.171$ | $0$ | $3.74406$ | Modular form 7.8.c.a.4.2 | |||
2-7-7.4-c7-0-3 | $1.47$ | $2.18$ | $2$ | $7$ | 7.4 | $7.0$ | $7$ | ✓ | ✓ | $-0.454$ | $0$ | $6.43856$ | Modular form 7.8.c.a.4.1 | |||
2-7-7.3-c8-0-0 | $1.68$ | $2.85$ | $2$ | $7$ | 7.3 | $8.0$ | $8$ | ✓ | ✓ | $-0.246$ | $0$ | $2.12856$ | Modular form 7.9.d.a.3.4 | |||
2-7-7.3-c8-0-1 | $1.68$ | $2.85$ | $2$ | $7$ | 7.3 | $8.0$ | $8$ | ✓ | ✓ | $0.0743$ | $0$ | $2.74307$ | Modular form 7.9.d.a.3.2 | |||
2-7-7.3-c8-0-2 | $1.68$ | $2.85$ | $2$ | $7$ | 7.3 | $8.0$ | $8$ | ✓ | ✓ | $0.347$ | $0$ | $4.20064$ | Modular form 7.9.d.a.3.3 | |||
2-7-7.3-c8-0-3 | $1.68$ | $2.85$ | $2$ | $7$ | 7.3 | $8.0$ | $8$ | ✓ | ✓ | $-0.423$ | $0$ | $5.53847$ | Modular form 7.9.d.a.3.1 | |||
2-7-7.5-c8-0-0 | $1.68$ | $2.85$ | $2$ | $7$ | 7.5 | $8.0$ | $8$ | ✓ | ✓ | $0.423$ | $0$ | $0.426779$ | Modular form 7.9.d.a.5.1 | |||
2-7-7.5-c8-0-1 | $1.68$ | $2.85$ | $2$ | $7$ | 7.5 | $8.0$ | $8$ | ✓ | ✓ | $-0.347$ | $0$ | $0.676765$ | Modular form 7.9.d.a.5.3 | |||
2-7-7.5-c8-0-2 | $1.68$ | $2.85$ | $2$ | $7$ | 7.5 | $8.0$ | $8$ | ✓ | ✓ | $-0.0743$ | $0$ | $2.19748$ | Modular form 7.9.d.a.5.2 | |||
2-7-7.5-c8-0-3 | $1.68$ | $2.85$ | $2$ | $7$ | 7.5 | $8.0$ | $8$ | ✓ | ✓ | $0.246$ | $0$ | $4.28370$ | Modular form 7.9.d.a.5.4 | |||
2-7-7.6-c8-0-0 | $1.68$ | $2.85$ | $2$ | $7$ | 7.6 | $8.0$ | $8$ | ✓ | ✓ | $-0.337$ | $0$ | $0.790649$ | Modular form 7.9.b.b.6.2 | |||
2-7-7.6-c8-0-1 | $1.68$ | $2.85$ | $2$ | $7$ | 7.6 | $8.0$ | $8$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.43975$ | Modular form 7.9.b.a Modular form 7.9.b.a.6.1 | |
2-7-7.6-c8-0-2 | $1.68$ | $2.85$ | $2$ | $7$ | 7.6 | $8.0$ | $8$ | ✓ | ✓ | $-0.0967$ | $0$ | $2.62196$ | Modular form 7.9.b.b.6.4 | |||
2-7-7.6-c8-0-3 | $1.68$ | $2.85$ | $2$ | $7$ | 7.6 | $8.0$ | $8$ | ✓ | ✓ | $0.337$ | $0$ | $3.89169$ | Modular form 7.9.b.b.6.1 | |||
2-7-7.6-c8-0-4 | $1.68$ | $2.85$ | $2$ | $7$ | 7.6 | $8.0$ | $8$ | ✓ | ✓ | $0.0967$ | $0$ | $4.20506$ | Modular form 7.9.b.b.6.3 | |||
2-7-1.1-c9-0-0 | $1.89$ | $3.60$ | $2$ | $7$ | 1.1 | $9.0$ | $9$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.28730$ | Modular form 7.10.a.b.1.1 |