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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
2-507-3.2-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 3.2 $$ $0.0$ $0$ $0$ $0$ $1.59349$ Artin representation 2.507.4t3.b Artin representation 2.507.4t3.b.a Modular form 507.1.c.a Modular form 507.1.c.a.170.1
2-507-507.77-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.77 $$ $0.0$ $0$ $-0.0473$ $0$ $1.73338$ Modular form 507.1.n.a.77.1
2-507-507.92-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.92 $$ $0.0$ $0$ $-0.0473$ $0$ $1.34442$ Modular form 507.1.o.a.92.1
2-507-507.233-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.233 $$ $0.0$ $0$ $0.0887$ $0$ $2.47169$ Modular form 507.1.n.a.233.1
2-507-507.272-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.272 $$ $0.0$ $0$ $-0.0887$ $0$ $1.83803$ Modular form 507.1.n.a.272.1
2-507-507.482-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.482 $$ $0.0$ $0$ $-0.0414$ $0$ $1.72151$ Modular form 507.1.o.a.482.1
2-507-507.248-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.248 $$ $0.0$ $0$ $0.0473$ $0$ $1.67053$ Modular form 507.1.o.a.248.1
2-507-507.404-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.404 $$ $0.0$ $0$ $-0.0887$ $0$ $0.989238$ Modular form 507.1.o.a.404.1
2-507-507.116-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.116 $$ $0.0$ $0$ $-0.186$ $0$ $1.63372$ Modular form 507.1.n.a.116.1
2-507-507.287-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.287 $$ $0.0$ $0$ $-0.313$ $0$ $1.04282$ Modular form 507.1.o.a.287.1
2-507-507.467-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.467 $$ $0.0$ $0$ $-0.399$ $0$ $0.519880$ Modular form 507.1.n.a.467.1
2-507-507.311-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.311 $$ $0.0$ $0$ $0.0414$ $0$ $2.07047$ Modular form 507.1.n.a.311.1
2-507-507.428-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.428 $$ $0.0$ $0$ $0.0473$ $0$ $2.06549$ Modular form 507.1.n.a.428.1
2-507-39.29-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 39.29 $$ $0.0$ $0$ $-0.247$ $0$ $1.24681$ Modular form 507.1.i.a.146.1
2-507-39.35-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 39.35 $$ $0.0$ $0$ $0.247$ $0$ $2.58616$ Modular form 507.1.i.a.191.1
2-507-507.194-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.194 $$ $0.0$ $0$ $-0.0414$ $0$ $1.43324$ Modular form 507.1.n.a.194.1
2-507-39.17-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 39.17 $$ $0.0$ $0$ $0.0426$ $0$ $1.97836$ Modular form 507.1.h.a.485.1
2-507-507.131-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.131 $$ $0.0$ $0$ $-0.100$ $0$ $1.73013$ Modular form 507.1.o.a.131.1
2-507-507.209-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.209 $$ $0.0$ $0$ $0.100$ $0$ $2.09987$ Modular form 507.1.o.a.209.1
2-507-507.389-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.389 $$ $0.0$ $0$ $0.186$ $0$ $2.33665$ Modular form 507.1.n.a.389.1
2-507-507.326-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.326 $$ $0.0$ $0$ $-0.213$ $0$ $1.27214$ Modular form 507.1.o.a.326.1
2-507-507.53-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.53 $$ $0.0$ $0$ $0.313$ $0$ $2.64773$ Modular form 507.1.o.a.53.1
2-507-507.443-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.443 $$ $0.0$ $0$ $0.0887$ $0$ $1.64224$ Modular form 507.1.o.a.443.1
2-507-507.350-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.350 $$ $0.0$ $0$ $0.286$ $0$ $2.37411$ Modular form 507.1.n.a.350.1
2-507-507.365-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.365 $$ $0.0$ $0$ $0.0414$ $0$ $1.75282$ Modular form 507.1.o.a.365.1
2-507-507.14-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.14 $$ $0.0$ $0$ $0.213$ $0$ $2.68365$ Modular form 507.1.o.a.14.1
2-507-507.38-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.38 $$ $0.0$ $0$ $0.399$ $0$ $2.69898$ Modular form 507.1.n.a.38.1
2-507-507.155-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 507.155 $$ $0.0$ $0$ $-0.286$ $0$ $0.944782$ Modular form 507.1.n.a.155.1
2-507-39.23-c0-0-0 $0.503$ $0.253$ $2$ $3 \cdot 13^{2}$ 39.23 $$ $0.0$ $0$ $-0.0426$ $0$ $1.90836$ Modular form 507.1.h.a.23.1
2-507-169.155-c1-0-28 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.155 $$ $1.0$ $1$ $0.209$ $0$ $2.35863$ Modular form 507.2.p.a.493.9
2-507-169.155-c1-0-10 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.155 $$ $1.0$ $1$ $-0.000412$ $0$ $0.938289$ Modular form 507.2.p.b.493.9
2-507-169.155-c1-0-29 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.155 $$ $1.0$ $1$ $0.377$ $0$ $2.40009$ Modular form 507.2.p.a.493.6
2-507-169.153-c1-0-2 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.153 $$ $1.0$ $1$ $0.0950$ $0$ $0.597185$ Modular form 507.2.t.a.322.14
2-507-169.152-c1-0-7 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $0.0920$ $0$ $0.585277$ Modular form 507.2.q.a.490.4
2-507-169.153-c1-0-20 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.153 $$ $1.0$ $1$ $0.229$ $0$ $1.81712$ Modular form 507.2.t.a.322.9
2-507-169.155-c1-0-3 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.155 $$ $1.0$ $1$ $-0.473$ $0$ $0.213721$ Modular form 507.2.p.b.493.10
2-507-169.152-c1-0-30 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $0.177$ $0$ $2.19111$ Modular form 507.2.q.b.490.7
2-507-169.152-c1-0-29 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.388$ $0$ $2.09116$ Modular form 507.2.q.a.490.2
2-507-169.152-c1-0-4 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.0669$ $0$ $0.345810$ Modular form 507.2.q.a.490.3
2-507-169.152-c1-0-24 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $0.317$ $0$ $1.85246$ Modular form 507.2.q.b.490.4
2-507-169.152-c1-0-19 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $0.110$ $0$ $1.71006$ Modular form 507.2.q.b.490.8
2-507-169.152-c1-0-25 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $0.212$ $0$ $1.86430$ Modular form 507.2.q.b.490.6
2-507-169.152-c1-0-5 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $0.357$ $0$ $0.540227$ Modular form 507.2.q.b.490.15
2-507-169.155-c1-0-4 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.155 $$ $1.0$ $1$ $-0.198$ $0$ $0.374784$ Modular form 507.2.p.b.493.6
2-507-169.152-c1-0-13 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.301$ $0$ $1.26090$ Modular form 507.2.q.a.490.14
2-507-169.152-c1-0-10 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.245$ $0$ $0.810369$ Modular form 507.2.q.a.490.10
2-507-169.14-c1-0-31 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.14 $$ $1.0$ $1$ $0.499$ $0$ $3.12327$ Modular form 507.2.m.b.352.16
2-507-169.152-c1-0-18 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.153$ $0$ $1.65748$ Modular form 507.2.q.b.490.11
2-507-169.152-c1-0-20 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.204$ $0$ $1.73180$ Modular form 507.2.q.b.490.13
2-507-169.152-c1-0-23 $2.01$ $4.04$ $2$ $3 \cdot 13^{2}$ 169.152 $$ $1.0$ $1$ $-0.296$ $0$ $1.79171$ Modular form 507.2.q.b.490.16
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