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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
2-712-712.691-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.691 $$ $0.0$ $0$ $-0.0522$ $0$ $2.04731$ Modular form 712.1.y.a.691.1
2-712-712.275-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.275 $$ $0.0$ $0$ $-0.241$ $0$ $1.25713$ Modular form 712.1.s.a.275.1
2-712-712.355-c0-0-2 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.355 $$ $0.0$ $0$ $0$ $0$ $2.04047$ Artin representation 2.712.4t3.b Artin representation 2.712.4t3.b.a Modular form 712.1.c.a Modular form 712.1.c.a.355.1
2-712-712.11-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.11 $$ $0.0$ $0$ $0.160$ $0$ $2.03093$ Modular form 712.1.w.a.11.1
2-712-712.139-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.139 $$ $0.0$ $0$ $0.458$ $0$ $0.605941$ Modular form 712.1.w.a.139.1
2-712-712.427-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.427 $$ $0.0$ $0$ $0.0143$ $0$ $2.46265$ Modular form 712.1.y.a.427.1
2-712-712.67-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.67 $$ $0.0$ $0$ $-0.434$ $0$ $1.15159$ Modular form 712.1.s.a.67.1
2-712-712.403-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.403 $$ $0.0$ $0$ $0.249$ $0$ $2.27520$ Modular form 712.1.y.a.403.1
2-712-712.435-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.435 $$ $0.0$ $0$ $-0.227$ $0$ $1.28365$ Modular form 712.1.y.a.435.1
2-712-712.283-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.283 $$ $0.0$ $0$ $-0.0276$ $0$ $1.06949$ Modular form 712.1.s.a.283.1
2-712-712.443-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.443 $$ $0.0$ $0$ $0.235$ $0$ $1.80061$ Modular form 712.1.w.a.443.1
2-712-712.355-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.355 $$ $0.0$ $0$ $0$ $0$ $1.25810$ Artin representation 2.712.8t6.b.b Modular form 712.1.c.b.355.1
2-712-712.307-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.307 $$ $0.0$ $0$ $-0.448$ $0$ $1.39761$ Modular form 712.1.y.a.307.1
2-712-712.339-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.339 $$ $0.0$ $0$ $0.0522$ $0$ $2.19075$ Modular form 712.1.y.a.339.1
2-712-712.539-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.539 $$ $0.0$ $0$ $0.252$ $0$ $2.44044$ Modular form 712.1.y.a.539.1
2-712-712.667-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.667 $$ $0.0$ $0$ $-0.235$ $0$ $0.0877208$ Modular form 712.1.w.a.667.1
2-712-712.299-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.299 $$ $0.0$ $0$ $-0.143$ $0$ $1.67365$ Modular form 712.1.s.a.299.1
2-712-712.99-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.99 $$ $0.0$ $0$ $-0.338$ $0$ $0.601529$ Modular form 712.1.y.a.99.1
2-712-712.643-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.643 $$ $0.0$ $0$ $0.406$ $0$ $2.26117$ Modular form 712.1.y.a.643.1
2-712-712.259-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.259 $$ $0.0$ $0$ $-0.160$ $0$ $1.70795$ Modular form 712.1.w.a.259.1
2-712-712.91-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.91 $$ $0.0$ $0$ $0.0178$ $0$ $1.35933$ Modular form 712.1.s.a.91.1
2-712-712.235-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.235 $$ $0.0$ $0$ $0.216$ $0$ $2.04279$ Modular form 712.1.w.a.235.1
2-712-712.251-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.251 $$ $0.0$ $0$ $-0.458$ $0$ $2.75052$ Modular form 712.1.w.a.251.1
2-712-712.131-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.131 $$ $0.0$ $0$ $-0.0714$ $0$ $1.02009$ Modular form 712.1.y.a.131.1
2-712-712.331-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.331 $$ $0.0$ $0$ $0.143$ $0$ $1.80711$ Modular form 712.1.s.a.331.1
2-712-712.603-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.603 $$ $0.0$ $0$ $0.448$ $0$ $2.99359$ Modular form 712.1.y.a.603.1
2-712-712.627-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.627 $$ $0.0$ $0$ $0.434$ $0$ $3.00455$ Modular form 712.1.s.a.627.1
2-712-712.187-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.187 $$ $0.0$ $0$ $0.338$ $0$ $1.28094$ Modular form 712.1.y.a.187.1
2-712-712.659-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.659 $$ $0.0$ $0$ $-0.249$ $0$ $1.06365$ Modular form 712.1.y.a.659.1
2-712-712.395-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.395 $$ $0.0$ $0$ $0.0276$ $0$ $1.53299$ Modular form 712.1.s.a.395.1
2-712-712.619-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.619 $$ $0.0$ $0$ $0.173$ $0$ $2.40731$ Modular form 712.1.w.a.619.1
2-712-712.555-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.555 $$ $0.0$ $0$ $0.0442$ $0$ $1.53958$ Modular form 712.1.y.a.555.1
2-712-712.227-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.227 $$ $0.0$ $0$ $-0.406$ $0$ $0.802986$ Modular form 712.1.y.a.227.1
2-712-712.467-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.467 $$ $0.0$ $0$ $-0.173$ $0$ $1.80127$ Modular form 712.1.w.a.467.1
2-712-712.579-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.579 $$ $0.0$ $0$ $-0.0178$ $0$ $1.17257$ Modular form 712.1.s.a.579.1
2-712-712.203-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.203 $$ $0.0$ $0$ $-0.216$ $0$ $0.701343$ Modular form 712.1.w.a.203.1
2-712-712.523-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.523 $$ $0.0$ $0$ $0.241$ $0$ $1.54382$ Modular form 712.1.s.a.523.1
2-712-712.107-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.107 $$ $0.0$ $0$ $-0.252$ $0$ $1.61745$ Modular form 712.1.y.a.107.1
2-712-712.195-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.195 $$ $0.0$ $0$ $-0.0442$ $0$ $1.45395$ Modular form 712.1.y.a.195.1
2-712-712.411-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.411 $$ $0.0$ $0$ $0.169$ $0$ $1.91280$ Modular form 712.1.l.a.411.1
2-712-712.707-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.707 $$ $0.0$ $0$ $-0.0143$ $0$ $1.87780$ Modular form 712.1.y.a.707.1
2-712-712.347-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.347 $$ $0.0$ $0$ $0.227$ $0$ $1.56677$ Modular form 712.1.y.a.347.1
2-712-712.587-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.587 $$ $0.0$ $0$ $0.0714$ $0$ $1.15124$ Modular form 712.1.y.a.587.1
2-712-712.123-c0-0-0 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.123 $$ $0.0$ $0$ $-0.169$ $0$ $1.34333$ Modular form 712.1.l.a.123.1
2-712-712.355-c0-0-1 $0.596$ $0.355$ $2$ $2^{3} \cdot 89$ 712.355 $$ $0.0$ $0$ $0$ $0$ $1.47660$ Artin representation 2.712.8t6.b.a Modular form 712.1.c.b.355.2
2-712-712.171-c1-0-69 $2.38$ $5.68$ $2$ $2^{3} \cdot 89$ 712.171 $$ $1.0$ $1$ $0.248$ $0$ $1.93934$ Modular form 712.2.bf.c.171.41
2-712-712.171-c1-0-61 $2.38$ $5.68$ $2$ $2^{3} \cdot 89$ 712.171 $$ $1.0$ $1$ $-0.280$ $0$ $1.74369$ Modular form 712.2.bf.c.171.75
2-712-712.171-c1-0-7 $2.38$ $5.68$ $2$ $2^{3} \cdot 89$ 712.171 $$ $1.0$ $1$ $0.0546$ $0$ $0.472576$ Modular form 712.2.bf.c.171.6
2-712-712.171-c1-0-54 $2.38$ $5.68$ $2$ $2^{3} \cdot 89$ 712.171 $$ $1.0$ $1$ $0.239$ $0$ $1.58799$ Modular form 712.2.bf.c.171.24
2-712-712.171-c1-0-47 $2.38$ $5.68$ $2$ $2^{3} \cdot 89$ 712.171 $$ $1.0$ $1$ $0.359$ $0$ $1.48495$ Modular form 712.2.bf.c.171.39
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