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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
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