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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-1175-235.234-c0-0-0 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.176$ | $0$ | $0.619276$ | Modular form 1175.1.b.c.1174.7 | |||
2-1175-235.234-c0-0-1 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.176$ | $0$ | $0.829438$ | Modular form 1175.1.b.c.1174.3 | |||
2-1175-235.234-c0-0-10 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.176$ | $0$ | $2.18989$ | Modular form 1175.1.b.c.1174.6 | |||
2-1175-235.234-c0-0-11 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.426$ | $0$ | $2.30492$ | Modular form 1175.1.b.b.1174.1 | |||
2-1175-235.234-c0-0-12 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.426$ | $0$ | $2.40165$ | Modular form 1175.1.b.b.1174.2 | |||
2-1175-235.234-c0-0-13 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.176$ | $0$ | $3.23879$ | Modular form 1175.1.b.c.1174.2 | |||
2-1175-235.234-c0-0-2 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.176$ | $0$ | $0.908055$ | Modular form 1175.1.b.c.1174.1 | |||
2-1175-235.234-c0-0-3 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.426$ | $0$ | $0.962381$ | Modular form 1175.1.b.b.1174.4 | |||
2-1175-235.234-c0-0-4 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.426$ | $0$ | $1.17265$ | Modular form 1175.1.b.b.1174.3 | |||
2-1175-235.234-c0-0-5 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.176$ | $0$ | $1.21614$ | Modular form 1175.1.b.a.1174.2 | |||
2-1175-235.234-c0-0-6 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.176$ | $0$ | $1.45002$ | Modular form 1175.1.b.c.1174.5 | |||
2-1175-235.234-c0-0-7 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $-0.176$ | $0$ | $1.57660$ | Modular form 1175.1.b.c.1174.8 | |||
2-1175-235.234-c0-0-8 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.176$ | $0$ | $1.66021$ | Modular form 1175.1.b.c.1174.4 | |||
2-1175-235.234-c0-0-9 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 235.234 | $0.0$ | 0 | ✓ | ✓ | $0.176$ | $0$ | $1.76207$ | Modular form 1175.1.b.a.1174.1 | |||
2-1175-47.46-c0-0-0 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.711399$ | Artin representation 2.1175.3t2.a Artin representation 2.1175.3t2.a.a Modular form 1175.1.d.a Modular form 1175.1.d.a.751.1 | |
2-1175-47.46-c0-0-1 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.731932$ | Modular form 1175.1.d.d.751.3 | ||
2-1175-47.46-c0-0-10 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.28353$ | Modular form 1175.1.d.e.751.3 | ||
2-1175-47.46-c0-0-11 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.28588$ | Modular form 1175.1.d.d.751.4 | ||
2-1175-47.46-c0-0-2 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.990241$ | Modular form 1175.1.d.d.751.2 | ||
2-1175-47.46-c0-0-3 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.08920$ | Modular form 1175.1.d.e.751.1 | ||
2-1175-47.46-c0-0-4 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.41260$ | Modular form 1175.1.d.c.751.1 | ||
2-1175-47.46-c0-0-5 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.50002$ | Modular form 1175.1.d.e.751.4 | ||
2-1175-47.46-c0-0-6 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.57324$ | Modular form 1175.1.d.d.751.1 | ||
2-1175-47.46-c0-0-7 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.60328$ | Modular form 1175.1.d.e.751.2 | ||
2-1175-47.46-c0-0-8 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.81535$ | Modular form 1175.1.d.c.751.2 | ||
2-1175-47.46-c0-0-9 | $0.765$ | $0.586$ | $2$ | $5^{2} \cdot 47$ | 47.46 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.85250$ | Artin representation 2.1175.6t3.a Artin representation 2.1175.6t3.a.a Modular form 1175.1.d.b Modular form 1175.1.d.b.751.1 | |
2-1175-1.1-c1-0-0 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.315798$ | Modular form 1175.2.a.l.1.4 | ||
2-1175-1.1-c1-0-1 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.342209$ | Modular form 1175.2.a.k.1.6 | ||
2-1175-1.1-c1-0-10 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.708456$ | Modular form 1175.2.a.k.1.3 | ||
2-1175-1.1-c1-0-11 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.719828$ | Modular form 1175.2.a.l.1.7 | ||
2-1175-1.1-c1-0-12 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.732828$ | Modular form 1175.2.a.k.1.4 | ||
2-1175-1.1-c1-0-13 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.776775$ | Modular form 1175.2.a.j.1.4 | ||
2-1175-1.1-c1-0-14 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.801228$ | Modular form 1175.2.a.l.1.6 | ||
2-1175-1.1-c1-0-15 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.809576$ | Modular form 1175.2.a.g.1.2 | ||
2-1175-1.1-c1-0-16 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.856557$ | Modular form 1175.2.a.j.1.8 | ||
2-1175-1.1-c1-0-17 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.868301$ | Modular form 1175.2.a.j.1.2 | ||
2-1175-1.1-c1-0-18 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.886687$ | Modular form 1175.2.a.k.1.7 | ||
2-1175-1.1-c1-0-19 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.901867$ | Modular form 1175.2.a.h.1.1 | ||
2-1175-1.1-c1-0-2 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.404814$ | Modular form 1175.2.a.k.1.2 | ||
2-1175-1.1-c1-0-20 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.955436$ | Modular form 1175.2.a.j.1.6 | ||
2-1175-1.1-c1-0-21 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.967937$ | Modular form 1175.2.a.l.1.1 | ||
2-1175-1.1-c1-0-22 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.975772$ | Modular form 1175.2.a.g.1.3 | ||
2-1175-1.1-c1-0-23 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.03947$ | Modular form 1175.2.a.l.1.3 | ||
2-1175-1.1-c1-0-24 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.07474$ | Modular form 1175.2.a.j.1.1 | ||
2-1175-1.1-c1-0-25 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.08274$ | Modular form 1175.2.a.h.1.6 | ||
2-1175-1.1-c1-0-26 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.10408$ | Modular form 1175.2.a.i.1.5 | ||
2-1175-1.1-c1-0-27 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.12288$ | Modular form 1175.2.a.k.1.8 | ||
2-1175-1.1-c1-0-28 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.12461$ | Modular form 1175.2.a.j.1.3 | ||
2-1175-1.1-c1-0-29 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.14478$ | Modular form 1175.2.a.i.1.3 | ||
2-1175-1.1-c1-0-3 | $3.06$ | $9.38$ | $2$ | $5^{2} \cdot 47$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.433506$ | Modular form 1175.2.a.l.1.2 |