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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-69-1.1-c5-0-0 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.108511$ | Modular form 69.6.a.c.1.1 | ||
2-69-1.1-c5-0-1 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.842382$ | Modular form 69.6.a.a.1.1 | ||
2-69-1.1-c5-0-10 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.96789$ | Modular form 69.6.a.d.1.2 | ||
2-69-1.1-c5-0-11 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.98223$ | Modular form 69.6.a.a.1.2 | ||
2-69-1.1-c5-0-12 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.02406$ | Modular form 69.6.a.e.1.4 | ||
2-69-1.1-c5-0-13 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.24389$ | Modular form 69.6.a.e.1.5 | ||
2-69-1.1-c5-0-14 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.37827$ | Modular form 69.6.a.b.1.2 | ||
2-69-1.1-c5-0-15 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.67331$ | Modular form 69.6.a.d.1.3 | ||
2-69-1.1-c5-0-16 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.79437$ | Modular form 69.6.a.b.1.3 | ||
2-69-1.1-c5-0-17 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $3.14802$ | Modular form 69.6.a.d.1.4 | ||
2-69-1.1-c5-0-2 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.860939$ | Modular form 69.6.a.e.1.2 | ||
2-69-1.1-c5-0-3 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.871856$ | Modular form 69.6.a.c.1.3 | ||
2-69-1.1-c5-0-4 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.890969$ | Modular form 69.6.a.c.1.2 | ||
2-69-1.1-c5-0-5 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.37838$ | Modular form 69.6.a.e.1.1 | ||
2-69-1.1-c5-0-6 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.47569$ | Modular form 69.6.a.e.1.3 | ||
2-69-1.1-c5-0-7 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.61620$ | Modular form 69.6.a.d.1.1 | ||
2-69-1.1-c5-0-8 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.62367$ | Modular form 69.6.a.c.1.4 | ||
2-69-1.1-c5-0-9 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.78100$ | Modular form 69.6.a.b.1.1 | ||
2-69-23.12-c5-0-0 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.429$ | $0$ | $0.0527398$ | Modular form 69.6.e.a.58.6 | |||
2-69-23.12-c5-0-1 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.400$ | $0$ | $0.203406$ | Modular form 69.6.e.b.58.1 | |||
2-69-23.12-c5-0-10 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.0475$ | $0$ | $1.25653$ | Modular form 69.6.e.b.58.8 | |||
2-69-23.12-c5-0-11 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.0303$ | $0$ | $1.41652$ | Modular form 69.6.e.b.58.3 | |||
2-69-23.12-c5-0-12 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.263$ | $0$ | $1.47998$ | Modular form 69.6.e.a.58.3 | |||
2-69-23.12-c5-0-13 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.0688$ | $0$ | $1.53266$ | Modular form 69.6.e.a.58.7 | |||
2-69-23.12-c5-0-14 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.230$ | $0$ | $1.77408$ | Modular form 69.6.e.a.58.5 | |||
2-69-23.12-c5-0-15 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.195$ | $0$ | $1.80221$ | Modular form 69.6.e.a.58.2 | |||
2-69-23.12-c5-0-16 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.407$ | $0$ | $2.09257$ | Modular form 69.6.e.b.58.7 | |||
2-69-23.12-c5-0-17 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.290$ | $0$ | $2.66614$ | Modular form 69.6.e.b.58.10 | |||
2-69-23.12-c5-0-18 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.320$ | $0$ | $2.78147$ | Modular form 69.6.e.a.58.10 | |||
2-69-23.12-c5-0-19 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.481$ | $0$ | $3.25422$ | Modular form 69.6.e.a.58.9 | |||
2-69-23.12-c5-0-2 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.359$ | $0$ | $0.236167$ | Modular form 69.6.e.b.58.9 | |||
2-69-23.12-c5-0-3 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.270$ | $0$ | $0.315695$ | Modular form 69.6.e.a.58.1 | |||
2-69-23.12-c5-0-4 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.450$ | $0$ | $0.335588$ | Modular form 69.6.e.b.58.5 | |||
2-69-23.12-c5-0-5 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.184$ | $0$ | $0.618180$ | Modular form 69.6.e.a.58.8 | |||
2-69-23.12-c5-0-6 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.255$ | $0$ | $0.621584$ | Modular form 69.6.e.a.58.4 | |||
2-69-23.12-c5-0-7 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.0363$ | $0$ | $0.824927$ | Modular form 69.6.e.b.58.2 | |||
2-69-23.12-c5-0-8 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $-0.219$ | $0$ | $0.952630$ | Modular form 69.6.e.b.58.6 | |||
2-69-23.12-c5-0-9 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.12 | $5.0$ | $5$ | ✓ | ✓ | $0.157$ | $0$ | $1.16027$ | Modular form 69.6.e.b.58.4 | |||
2-69-23.13-c5-0-0 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $-0.265$ | $0$ | $0.0700112$ | Modular form 69.6.e.a.13.5 | |||
2-69-23.13-c5-0-1 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $-0.163$ | $0$ | $0.217786$ | Modular form 69.6.e.b.13.1 | |||
2-69-23.13-c5-0-10 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $-0.346$ | $0$ | $1.25133$ | Modular form 69.6.e.b.13.9 | |||
2-69-23.13-c5-0-11 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $0.288$ | $0$ | $1.30225$ | Modular form 69.6.e.b.13.2 | |||
2-69-23.13-c5-0-12 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $0.434$ | $0$ | $1.39898$ | Modular form 69.6.e.a.13.1 | |||
2-69-23.13-c5-0-13 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $0.0514$ | $0$ | $1.53281$ | Modular form 69.6.e.a.13.8 | |||
2-69-23.13-c5-0-14 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $-0.0396$ | $0$ | $1.62456$ | Modular form 69.6.e.b.13.6 | |||
2-69-23.13-c5-0-15 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $-0.108$ | $0$ | $1.63768$ | Modular form 69.6.e.a.13.9 | |||
2-69-23.13-c5-0-16 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $0.291$ | $0$ | $1.89924$ | Modular form 69.6.e.b.13.3 | |||
2-69-23.13-c5-0-17 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $-0.0400$ | $0$ | $2.19166$ | Modular form 69.6.e.b.13.7 | |||
2-69-23.13-c5-0-18 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $0.447$ | $0$ | $2.49857$ | Modular form 69.6.e.a.13.6 | |||
2-69-23.13-c5-0-19 | $3.32$ | $11.0$ | $2$ | $3 \cdot 23$ | 23.13 | $5.0$ | $5$ | ✓ | ✓ | $0.403$ | $0$ | $2.73395$ | Modular form 69.6.e.b.13.5 |