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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
2-1176-168.59-c0-0-6 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.59 $$ $0.0$ $0$ $0.297$ $0$ $2.32379$ Modular form 1176.1.be.a.227.7
2-1176-168.59-c0-0-7 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.59 $$ $0.0$ $0$ $0.134$ $0$ $2.36531$ Modular form 1176.1.be.a.227.8
2-1176-168.83-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $0.0374$ $0$ $0.685438$ Modular form 1176.1.e.a.587.1
2-1176-168.83-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $-0.495$ $0$ $0.784898$ Modular form 1176.1.e.a.587.7
2-1176-168.83-c0-0-2 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $-0.129$ $0$ $1.03987$ Modular form 1176.1.e.a.587.6
2-1176-168.83-c0-0-3 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $0.129$ $0$ $1.23011$ Modular form 1176.1.e.a.587.2
2-1176-168.83-c0-0-4 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $0.0875$ $0$ $1.34200$ Modular form 1176.1.e.a.587.4
2-1176-168.83-c0-0-5 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $-0.0374$ $0$ $1.42248$ Modular form 1176.1.e.a.587.5
2-1176-168.83-c0-0-6 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $-0.0875$ $0$ $1.65245$ Modular form 1176.1.e.a.587.8
2-1176-168.83-c0-0-7 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.83 $$ $0.0$ $0$ $0.495$ $0$ $2.25014$ Modular form 1176.1.e.a.587.3
2-1176-24.5-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $-0.125$ $0$ $0.677918$ Modular form 1176.1.n.e.197.2
2-1176-24.5-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $-0.375$ $0$ $0.995864$ Modular form 1176.1.n.e.197.3
2-1176-24.5-c0-0-2 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $0$ $0$ $1.18516$ Artin representation 2.1176.6t3.f Artin representation 2.1176.6t3.f.a Modular form 1176.1.n.a Modular form 1176.1.n.a.197.1
2-1176-24.5-c0-0-3 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $0$ $0$ $1.30039$ Artin representation 2.1176.6t3.a Artin representation 2.1176.6t3.a.a Modular form 1176.1.n.b Modular form 1176.1.n.b.197.1
2-1176-24.5-c0-0-4 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $0$ $0$ $1.64082$ Artin representation 2.1176.6t3.b Artin representation 2.1176.6t3.b.a Modular form 1176.1.n.c Modular form 1176.1.n.c.197.1
2-1176-24.5-c0-0-5 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $0.375$ $0$ $1.69004$ Modular form 1176.1.n.e.197.1
2-1176-24.5-c0-0-6 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $0.125$ $0$ $1.82487$ Modular form 1176.1.n.e.197.4
2-1176-24.5-c0-0-7 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 24.5 $$ $0.0$ $0$ $0$ $0$ $1.93285$ Artin representation 2.1176.3t2.a Artin representation 2.1176.3t2.a.a Modular form 1176.1.n.d Modular form 1176.1.n.d.197.1
2-1176-1176.533-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.533 $$ $0.0$ $0$ $-0.265$ $0$ $3.08843$ Modular form 1176.1.bj.a.533.1
2-1176-1176.653-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.653 $$ $0.0$ $0$ $0.401$ $0$ $0.801121$ Modular form 1176.1.ck.b.653.1
2-1176-1176.1037-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.1037 $$ $0.0$ $0$ $0.265$ $0$ $0.0685150$ Modular form 1176.1.bj.a.1037.1
2-1176-1176.653-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.653 $$ $0.0$ $0$ $0.401$ $0$ $1.96648$ Modular form 1176.1.ck.a.653.1
2-1176-1176.701-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.701 $$ $0.0$ $0$ $-0.0408$ $0$ $0.867976$ Modular form 1176.1.bj.b.701.1
2-1176-1176.701-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.701 $$ $0.0$ $0$ $-0.0408$ $0$ $1.54693$ Modular form 1176.1.bj.a.701.1
2-1176-1176.725-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.725 $$ $0.0$ $0$ $0.0680$ $0$ $1.42354$ Modular form 1176.1.ck.b.725.1
2-1176-1176.725-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.725 $$ $0.0$ $0$ $0.0680$ $0$ $2.05358$ Modular form 1176.1.ck.a.725.1
2-1176-1176.821-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.821 $$ $0.0$ $0$ $0.108$ $0$ $1.66613$ Modular form 1176.1.ck.b.821.1
2-1176-1176.821-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.821 $$ $0.0$ $0$ $0.108$ $0$ $1.82579$ Modular form 1176.1.ck.a.821.1
2-1176-1176.869-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.869 $$ $0.0$ $0$ $0.0408$ $0$ $1.20860$ Modular form 1176.1.bj.a.869.1
2-1176-1176.869-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.869 $$ $0.0$ $0$ $0.0408$ $0$ $1.60931$ Modular form 1176.1.bj.b.869.1
2-1176-1176.893-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.893 $$ $0.0$ $0$ $0.0408$ $0$ $1.36090$ Modular form 1176.1.ck.b.893.1
2-1176-1176.893-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.893 $$ $0.0$ $0$ $0.0408$ $0$ $1.52378$ Modular form 1176.1.ck.a.893.1
2-1176-1176.989-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.989 $$ $0.0$ $0$ $-0.0408$ $0$ $0.972851$ Modular form 1176.1.ck.b.989.1
2-1176-1176.989-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.989 $$ $0.0$ $0$ $-0.0408$ $0$ $2.14010$ Modular form 1176.1.ck.a.989.1
2-1176-168.131-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.131 $$ $0.0$ $0$ $-0.292$ $0$ $0.936286$ Modular form 1176.1.be.a.803.5
2-1176-168.131-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.131 $$ $0.0$ $0$ $-0.130$ $0$ $0.996191$ Modular form 1176.1.be.a.803.4
2-1176-168.131-c0-0-2 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.131 $$ $0.0$ $0$ $0.0827$ $0$ $1.29893$ Modular form 1176.1.be.a.803.2
2-1176-168.131-c0-0-3 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.131 $$ $0.0$ $0$ $-0.297$ $0$ $1.40469$ Modular form 1176.1.be.a.803.7
2-1176-168.131-c0-0-4 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 168.131 $$ $0.0$ $0$ $0.240$ $0$ $1.64067$ Modular form 1176.1.be.a.803.3
2-1176-1176.1037-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.1037 $$ $0.0$ $0$ $0.265$ $0$ $1.89597$ Modular form 1176.1.bj.b.1037.1
2-1176-1176.1061-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.1061 $$ $0.0$ $0$ $0.442$ $0$ $0.517901$ Modular form 1176.1.ck.b.1061.1
2-1176-1176.1061-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.1061 $$ $0.0$ $0$ $0.442$ $0$ $1.85546$ Modular form 1176.1.ck.a.1061.1
2-1176-1176.149-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.149 $$ $0.0$ $0$ $0.0408$ $0$ $0.983643$ Modular form 1176.1.ck.a.149.1
2-1176-1176.149-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.149 $$ $0.0$ $0$ $0.0408$ $0$ $2.12738$ Modular form 1176.1.ck.b.149.1
2-1176-1176.221-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.221 $$ $0.0$ $0$ $-0.0408$ $0$ $0.638941$ Modular form 1176.1.ck.a.221.1
2-1176-1176.221-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.221 $$ $0.0$ $0$ $-0.0408$ $0$ $1.98689$ Modular form 1176.1.ck.b.221.1
2-1176-1176.29-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.29 $$ $0.0$ $0$ $-0.224$ $0$ $0.506408$ Modular form 1176.1.bj.a.29.1
2-1176-1176.29-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.29 $$ $0.0$ $0$ $-0.224$ $0$ $1.36938$ Modular form 1176.1.bj.b.29.1
2-1176-1176.317-c0-0-0 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.317 $$ $0.0$ $0$ $-0.442$ $0$ $0.955927$ Modular form 1176.1.ck.a.317.1
2-1176-1176.317-c0-0-1 $0.766$ $0.586$ $2$ $2^{3} \cdot 3 \cdot 7^{2}$ 1176.317 $$ $0.0$ $0$ $-0.442$ $0$ $2.70536$ Modular form 1176.1.ck.b.317.1
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