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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-693-231.167-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.167 | $0.0$ | 0 | ✓ | ✓ | $-0.219$ | $0$ | $1.16817$ | Modular form 693.1.bp.a.629.2 | |||
2-693-231.167-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.167 | $0.0$ | 0 | ✓ | ✓ | $-0.273$ | $0$ | $1.35212$ | Modular form 693.1.bp.a.629.1 | |||
2-693-231.167-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.167 | $0.0$ | 0 | ✓ | ✓ | $-0.0235$ | $0$ | $1.53608$ | Modular form 693.1.bp.a.629.3 | |||
2-693-231.167-c0-0-3 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.167 | $0.0$ | 0 | ✓ | ✓ | $-0.469$ | $0$ | $2.82611$ | Modular form 693.1.bp.a.629.4 | |||
2-693-231.230-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.230 | $0.0$ | 0 | ✓ | ✓ | $-0.222$ | $0$ | $0.711409$ | Modular form 693.1.h.a.692.2 | |||
2-693-231.230-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.230 | $0.0$ | 0 | ✓ | ✓ | $0.222$ | $0$ | $1.69081$ | Modular form 693.1.h.a.692.1 | |||
2-693-231.230-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.230 | $0.0$ | 0 | ✓ | ✓ | $-0.0270$ | $0$ | $1.91950$ | Modular form 693.1.h.a.692.4 | |||
2-693-231.230-c0-0-3 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.230 | $0.0$ | 0 | ✓ | ✓ | $0.0270$ | $0$ | $2.20328$ | Modular form 693.1.h.a.692.3 | |||
2-693-231.41-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.41 | $0.0$ | 0 | ✓ | ✓ | $-0.184$ | $0$ | $1.23470$ | Modular form 693.1.bp.a.503.2 | |||
2-693-231.41-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.41 | $0.0$ | 0 | ✓ | ✓ | $0.0659$ | $0$ | $1.57709$ | Modular form 693.1.bp.a.503.1 | |||
2-693-231.41-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.41 | $0.0$ | 0 | ✓ | ✓ | $0.0118$ | $0$ | $1.59401$ | Modular form 693.1.bp.a.503.3 | |||
2-693-231.41-c0-0-3 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.41 | $0.0$ | 0 | ✓ | ✓ | $0.261$ | $0$ | $2.74640$ | Modular form 693.1.bp.a.503.4 | |||
2-693-231.62-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.62 | $0.0$ | 0 | ✓ | ✓ | $-0.0659$ | $0$ | $0.635455$ | Modular form 693.1.bp.a.62.1 | |||
2-693-231.62-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.62 | $0.0$ | 0 | ✓ | ✓ | $0.184$ | $0$ | $1.56068$ | Modular form 693.1.bp.a.62.2 | |||
2-693-231.62-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.62 | $0.0$ | 0 | ✓ | ✓ | $-0.261$ | $0$ | $1.71686$ | Modular form 693.1.bp.a.62.4 | |||
2-693-231.62-c0-0-3 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.62 | $0.0$ | 0 | ✓ | ✓ | $-0.0118$ | $0$ | $2.07150$ | Modular form 693.1.bp.a.62.3 | |||
2-693-231.83-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.83 | $0.0$ | 0 | ✓ | ✓ | $0.469$ | $0$ | $1.04958$ | Modular form 693.1.bp.a.314.4 | |||
2-693-231.83-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.83 | $0.0$ | 0 | ✓ | ✓ | $0.273$ | $0$ | $1.26000$ | Modular form 693.1.bp.a.314.1 | |||
2-693-231.83-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.83 | $0.0$ | 0 | ✓ | ✓ | $0.0235$ | $0$ | $1.89201$ | Modular form 693.1.bp.a.314.3 | |||
2-693-231.83-c0-0-3 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 231.83 | $0.0$ | 0 | ✓ | ✓ | $0.219$ | $0$ | $2.27602$ | Modular form 693.1.bp.a.314.2 | |||
2-693-693.142-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.142 | $0.0$ | 0 | ✓ | ✓ | $-0.398$ | $0$ | $0.558643$ | Artin representation 2.693.16t60.a.d Modular form 693.1.bl.a.142.1 | |||
2-693-693.142-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.142 | $0.0$ | 0 | ✓ | ✓ | $0.101$ | $0$ | $1.60960$ | Artin representation 2.693.16t60.a.a Modular form 693.1.bl.a.142.2 | |||
2-693-693.340-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.340 | $0.0$ | 0 | ✓ | ✓ | $-0.378$ | $0$ | $1.29490$ | Modular form 693.1.o.a.340.2 | |||
2-693-693.340-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.340 | $0.0$ | 0 | ✓ | ✓ | $0.121$ | $0$ | $1.97573$ | Modular form 693.1.o.a.340.1 | |||
2-693-693.373-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.373 | $0.0$ | 0 | ✓ | ✓ | $-0.121$ | $0$ | $1.74362$ | Modular form 693.1.o.a.373.2 | |||
2-693-693.373-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.373 | $0.0$ | 0 | ✓ | ✓ | $0.378$ | $0$ | $2.65783$ | Modular form 693.1.o.a.373.1 | |||
2-693-693.571-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.571 | $0.0$ | 0 | ✓ | ✓ | $-0.101$ | $0$ | $1.40107$ | Artin representation 2.693.16t60.a.b Modular form 693.1.bl.a.571.2 | |||
2-693-693.571-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 693.571 | $0.0$ | 0 | ✓ | ✓ | $0.398$ | $0$ | $1.72623$ | Artin representation 2.693.16t60.a.c Modular form 693.1.bl.a.571.1 | |||
2-693-77.20-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.20 | $0.0$ | 0 | ✓ | ✓ | $-0.307$ | $0$ | $1.27206$ | Modular form 693.1.br.b.559.1 | |||
2-693-77.20-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.20 | $0.0$ | 0 | ✓ | ✓ | $0.192$ | $0$ | $1.85375$ | Modular form 693.1.br.b.559.2 | |||
2-693-77.20-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.20 | $0.0$ | 0 | ✓ | ✓ | $0.442$ | $0$ | $2.54584$ | Modular form 693.1.br.a.559.1 | |||
2-693-77.27-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.27 | $0.0$ | 0 | ✓ | ✓ | $-0.442$ | $0$ | $1.06324$ | Modular form 693.1.br.a.181.1 | |||
2-693-77.27-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.27 | $0.0$ | 0 | ✓ | ✓ | $-0.192$ | $0$ | $1.74574$ | Modular form 693.1.br.b.181.2 | |||
2-693-77.27-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.27 | $0.0$ | 0 | ✓ | ✓ | $0.307$ | $0$ | $1.93880$ | Modular form 693.1.br.b.181.1 | |||
2-693-77.48-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.48 | $0.0$ | 0 | ✓ | ✓ | $0.246$ | $0$ | $1.34739$ | Modular form 693.1.br.b.433.1 | |||
2-693-77.48-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.48 | $0.0$ | 0 | ✓ | ✓ | $-0.00378$ | $0$ | $1.78605$ | Modular form 693.1.br.a.433.1 | |||
2-693-77.48-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.48 | $0.0$ | 0 | ✓ | ✓ | $-0.253$ | $0$ | $1.94222$ | Modular form 693.1.br.b.433.2 | |||
2-693-77.69-c0-0-0 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.69 | $0.0$ | 0 | ✓ | ✓ | $-0.246$ | $0$ | $1.00183$ | Modular form 693.1.br.b.685.1 | |||
2-693-77.69-c0-0-1 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.69 | $0.0$ | 0 | ✓ | ✓ | $0.00378$ | $0$ | $1.57042$ | Modular form 693.1.br.a.685.1 | |||
2-693-77.69-c0-0-2 | $0.588$ | $0.345$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 77.69 | $0.0$ | 0 | ✓ | ✓ | $0.253$ | $0$ | $2.70559$ | Modular form 693.1.br.b.685.2 | |||
2-693-1.1-c1-0-0 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.726877$ | Modular form 693.2.a.j.1.1 | ||
2-693-1.1-c1-0-1 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.746658$ | Modular form 693.2.a.m.1.2 | ||
2-693-1.1-c1-0-10 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.57899$ | Modular form 693.2.a.g.1.1 | ||
2-693-1.1-c1-0-11 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.63424$ | Modular form 693.2.a.e.1.1 | ||
2-693-1.1-c1-0-12 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.64844$ | Modular form 693.2.a.f.1.1 | ||
2-693-1.1-c1-0-13 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.75222$ | Modular form 693.2.a.i.1.2 | ||
2-693-1.1-c1-0-14 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.82200$ | Modular form 693.2.a.e.1.2 | ||
2-693-1.1-c1-0-15 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.82898$ | Modular form 693.2.a.j.1.2 | ||
2-693-1.1-c1-0-16 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.86016$ | Modular form 693.2.a.h.1.2 | ||
2-693-1.1-c1-0-17 | $2.35$ | $5.53$ | $2$ | $3^{2} \cdot 7 \cdot 11$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.90906$ | Modular form 693.2.a.l.1.1 |