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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
2-531-59.58-c0-0-0 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 59.58 $$ $0.0$ $0$ $0$ $0$ $2.00507$ Artin representation 2.531.6t3.b Artin representation 2.531.6t3.b.a Modular form 531.1.c.a Modular form 531.1.c.a.235.1
2-531-531.412-c0-0-1 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 531.412 $$ $0.0$ $0$ $0.222$ $0$ $2.54332$ Modular form 531.1.g.a.412.3
2-531-531.412-c0-0-2 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 531.412 $$ $0.0$ $0$ $-0.444$ $0$ $3.08878$ Modular form 531.1.g.a.412.1
2-531-531.58-c0-0-2 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 531.58 $$ $0.0$ $0$ $0.111$ $0$ $1.97970$ Modular form 531.1.g.a.58.2
2-531-531.58-c0-0-1 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 531.58 $$ $0.0$ $0$ $-0.222$ $0$ $1.29625$ Modular form 531.1.g.a.58.3
2-531-531.58-c0-0-0 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 531.58 $$ $0.0$ $0$ $0.444$ $0$ $0.193264$ Modular form 531.1.g.a.58.1
2-531-531.412-c0-0-0 $0.514$ $0.265$ $2$ $3^{2} \cdot 59$ 531.412 $$ $0.0$ $0$ $-0.111$ $0$ $1.66238$ Modular form 531.1.g.a.412.2
2-531-531.130-c1-0-51 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.138$ $0$ $2.41468$ Modular form 531.2.m.a.130.47
2-531-531.130-c1-0-24 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.313$ $0$ $1.36941$ Modular form 531.2.m.a.130.46
2-531-531.130-c1-0-52 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.408$ $0$ $2.48608$ Modular form 531.2.m.a.130.33
2-531-531.130-c1-0-22 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.489$ $0$ $1.23441$ Modular form 531.2.m.a.130.58
2-531-531.130-c1-0-23 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.0315$ $0$ $1.24788$ Modular form 531.2.m.a.130.36
2-531-531.130-c1-0-37 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.0613$ $0$ $1.82480$ Modular form 531.2.m.a.130.51
2-531-531.130-c1-0-50 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.193$ $0$ $2.27751$ Modular form 531.2.m.a.130.28
2-531-531.130-c1-0-18 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.0931$ $0$ $1.05967$ Modular form 531.2.m.a.130.11
2-531-531.128-c1-0-46 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $-0.0493$ $0$ $2.18039$ Modular form 531.2.p.a.128.45
2-531-531.130-c1-0-19 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.275$ $0$ $1.09611$ Modular form 531.2.m.a.130.7
2-531-531.121-c1-0-20 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.0724$ $0$ $0.830584$ Modular form 531.2.m.a.121.10
2-531-531.128-c1-0-12 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $-0.0870$ $0$ $0.669845$ Modular form 531.2.p.a.128.4
2-531-531.128-c1-0-11 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.377$ $0$ $0.573074$ Modular form 531.2.p.a.128.51
2-531-531.128-c1-0-45 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.281$ $0$ $2.13952$ Modular form 531.2.p.a.128.24
2-531-531.130-c1-0-17 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.0157$ $0$ $1.04568$ Modular form 531.2.m.a.130.22
2-531-531.130-c1-0-21 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.0853$ $0$ $1.22589$ Modular form 531.2.m.a.130.45
2-531-531.128-c1-0-51 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.293$ $0$ $2.30713$ Modular form 531.2.p.a.128.34
2-531-531.128-c1-0-56 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $-0.330$ $0$ $2.74260$ Modular form 531.2.p.a.128.19
2-531-531.128-c1-0-55 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.377$ $0$ $2.56572$ Modular form 531.2.p.a.128.36
2-531-531.130-c1-0-29 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.0833$ $0$ $1.47416$ Modular form 531.2.m.a.130.31
2-531-531.130-c1-0-36 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.0901$ $0$ $1.82253$ Modular form 531.2.m.a.130.34
2-531-531.130-c1-0-42 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $0.143$ $0$ $1.90148$ Modular form 531.2.m.a.130.52
2-531-531.130-c1-0-5 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.281$ $0$ $0.272400$ Modular form 531.2.m.a.130.4
2-531-531.121-c1-0-15 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $-0.159$ $0$ $0.641800$ Modular form 531.2.m.a.121.20
2-531-531.121-c1-0-21 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.305$ $0$ $0.964356$ Modular form 531.2.m.a.121.17
2-531-531.121-c1-0-0 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $-0.361$ $0$ $0.0604169$ Modular form 531.2.m.a.121.24
2-531-531.113-c1-0-8 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.113 $$ $1.0$ $1$ $-0.160$ $0$ $0.427137$ Modular form 531.2.p.a.113.16
2-531-531.121-c1-0-12 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.220$ $0$ $0.530480$ Modular form 531.2.m.a.121.6
2-531-531.121-c1-0-14 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.448$ $0$ $0.626760$ Modular form 531.2.m.a.121.53
2-531-531.121-c1-0-17 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $-0.494$ $0$ $0.750600$ Modular form 531.2.m.a.121.48
2-531-531.121-c1-0-2 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $-0.173$ $0$ $0.197858$ Modular form 531.2.m.a.121.18
2-531-531.121-c1-0-3 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.449$ $0$ $0.217963$ Modular form 531.2.m.a.121.50
2-531-531.121-c1-0-29 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.102$ $0$ $1.49113$ Modular form 531.2.m.a.121.30
2-531-531.121-c1-0-46 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.121 $$ $1.0$ $1$ $0.451$ $0$ $1.97911$ Modular form 531.2.m.a.121.11
2-531-531.128-c1-0-10 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.476$ $0$ $0.570870$ Modular form 531.2.p.a.128.42
2-531-531.128-c1-0-39 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.0385$ $0$ $1.83549$ Modular form 531.2.p.a.128.35
2-531-531.128-c1-0-38 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $-0.110$ $0$ $1.80527$ Modular form 531.2.p.a.128.56
2-531-531.128-c1-0-44 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.254$ $0$ $2.13665$ Modular form 531.2.p.a.128.20
2-531-531.128-c1-0-43 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.480$ $0$ $2.03247$ Modular form 531.2.p.a.128.21
2-531-531.130-c1-0-20 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.130 $$ $1.0$ $1$ $-0.369$ $0$ $1.22012$ Modular form 531.2.m.a.130.48
2-531-531.113-c1-0-54 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.113 $$ $1.0$ $1$ $0.487$ $0$ $2.59784$ Modular form 531.2.p.a.113.20
2-531-531.128-c1-0-49 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.135$ $0$ $2.27295$ Modular form 531.2.p.a.128.37
2-531-531.128-c1-0-50 $2.05$ $4.24$ $2$ $3^{2} \cdot 59$ 531.128 $$ $1.0$ $1$ $0.294$ $0$ $2.27482$ Modular form 531.2.p.a.128.38
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