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Download displayed columns for resultsLabel | $\alpha$ | $A$ | $d$ | $N$ | $\chi$ | $\mu$ | $\nu$ | $w$ | prim | arith | $\mathbb{Q}$ | self-dual | $\operatorname{Arg}(\epsilon)$ | $r$ | First zero | Origin |
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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 |