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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
2-3312-207.160-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 207.160 $$ $0.0$ $0$ $-0.333$ $0$ $0.576204$ Modular form 3312.1.bm.a.3265.2
2-3312-207.160-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 207.160 $$ $0.0$ $0$ $0$ $0$ $1.19595$ Modular form 3312.1.bm.a.3265.3
2-3312-207.160-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 207.160 $$ $0.0$ $0$ $0.333$ $0$ $1.38091$ Modular form 3312.1.bm.a.3265.1
2-3312-207.22-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 207.22 $$ $0.0$ $0$ $-0.333$ $0$ $0.466980$ Modular form 3312.1.bm.a.1057.1
2-3312-207.22-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 207.22 $$ $0.0$ $0$ $0$ $0$ $1.45426$ Modular form 3312.1.bm.a.1057.3
2-3312-207.22-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 207.22 $$ $0.0$ $0$ $0.333$ $0$ $1.46512$ Modular form 3312.1.bm.a.1057.2
2-3312-23.22-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 23.22 $$ $0.0$ $0$ $0$ $0$ $1.02409$ Artin representation 2.3312.6t3.a Artin representation 2.3312.6t3.a.a Modular form 3312.1.c.a Modular form 3312.1.c.a.2161.1
2-3312-3312.1379-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1379 $$ $0.0$ $0$ $-0.0347$ $0$ $0.386896$ Modular form 3312.1.bw.b.1379.2
2-3312-3312.1379-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1379 $$ $0.0$ $0$ $-0.256$ $0$ $0.987193$ Modular form 3312.1.bw.a.1379.2
2-3312-3312.1379-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1379 $$ $0.0$ $0$ $0.409$ $0$ $1.18328$ Modular form 3312.1.bw.a.1379.1
2-3312-3312.1379-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1379 $$ $0.0$ $0$ $-0.0347$ $0$ $1.22512$ Modular form 3312.1.bw.b.1379.1
2-3312-3312.1379-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1379 $$ $0.0$ $0$ $-0.0347$ $0$ $1.53989$ Modular form 3312.1.bw.b.1379.3
2-3312-3312.1379-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1379 $$ $0.0$ $0$ $0.0763$ $0$ $1.57982$ Modular form 3312.1.bw.a.1379.3
2-3312-3312.1885-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1885 $$ $0.0$ $0$ $0.409$ $0$ $0.517797$ Modular form 3312.1.bp.a.1885.3
2-3312-3312.1885-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1885 $$ $0.0$ $0$ $0.131$ $0$ $0.861637$ Modular form 3312.1.bp.b.1885.2
2-3312-3312.1885-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1885 $$ $0.0$ $0$ $-0.201$ $0$ $1.32515$ Modular form 3312.1.bp.b.1885.3
2-3312-3312.1885-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1885 $$ $0.0$ $0$ $0.409$ $0$ $1.32703$ Modular form 3312.1.bp.a.1885.1
2-3312-3312.1885-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1885 $$ $0.0$ $0$ $0.409$ $0$ $1.73432$ Modular form 3312.1.bp.a.1885.2
2-3312-3312.1885-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1885 $$ $0.0$ $0$ $0.465$ $0$ $1.91821$ Modular form 3312.1.bp.b.1885.1
2-3312-3312.1931-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1931 $$ $0.0$ $0$ $-0.409$ $0$ $0.536652$ Modular form 3312.1.bw.a.1931.1
2-3312-3312.1931-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1931 $$ $0.0$ $0$ $0.0347$ $0$ $0.560293$ Modular form 3312.1.bw.b.1931.1
2-3312-3312.1931-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1931 $$ $0.0$ $0$ $-0.0763$ $0$ $0.975980$ Modular form 3312.1.bw.a.1931.3
2-3312-3312.1931-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1931 $$ $0.0$ $0$ $0.0347$ $0$ $1.21874$ Modular form 3312.1.bw.b.1931.2
2-3312-3312.1931-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1931 $$ $0.0$ $0$ $0.256$ $0$ $1.37726$ Modular form 3312.1.bw.a.1931.2
2-3312-3312.1931-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.1931 $$ $0.0$ $0$ $0.0347$ $0$ $1.86380$ Modular form 3312.1.bw.b.1931.3
2-3312-3312.229-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.229 $$ $0.0$ $0$ $0.0347$ $0$ $1.02622$ Modular form 3312.1.bp.a.229.1
2-3312-3312.229-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.229 $$ $0.0$ $0$ $0.0902$ $0$ $1.08128$ Modular form 3312.1.bp.b.229.3
2-3312-3312.229-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.229 $$ $0.0$ $0$ $0.0347$ $0$ $1.09723$ Modular form 3312.1.bp.a.229.3
2-3312-3312.229-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.229 $$ $0.0$ $0$ $-0.243$ $0$ $1.11356$ Modular form 3312.1.bp.b.229.2
2-3312-3312.229-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.229 $$ $0.0$ $0$ $0.0347$ $0$ $1.35805$ Modular form 3312.1.bp.a.229.2
2-3312-3312.229-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.229 $$ $0.0$ $0$ $0.423$ $0$ $1.36701$ Modular form 3312.1.bp.b.229.1
2-3312-3312.2437-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.2437 $$ $0.0$ $0$ $-0.465$ $0$ $0.104980$ Modular form 3312.1.bp.b.2437.1
2-3312-3312.2437-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.2437 $$ $0.0$ $0$ $-0.409$ $0$ $0.152980$ Modular form 3312.1.bp.a.2437.1
2-3312-3312.2437-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.2437 $$ $0.0$ $0$ $-0.131$ $0$ $0.885702$ Modular form 3312.1.bp.b.2437.2
2-3312-3312.2437-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.2437 $$ $0.0$ $0$ $-0.409$ $0$ $0.962974$ Modular form 3312.1.bp.a.2437.2
2-3312-3312.2437-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.2437 $$ $0.0$ $0$ $0.201$ $0$ $1.92572$ Modular form 3312.1.bp.b.2437.3
2-3312-3312.2437-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.2437 $$ $0.0$ $0$ $-0.409$ $0$ $2.30559$ Modular form 3312.1.bp.a.2437.3
2-3312-3312.275-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.275 $$ $0.0$ $0$ $-0.0902$ $0$ $0.459140$ Modular form 3312.1.bw.b.275.2
2-3312-3312.275-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.275 $$ $0.0$ $0$ $-0.201$ $0$ $0.810354$ Modular form 3312.1.bw.a.275.1
2-3312-3312.275-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.275 $$ $0.0$ $0$ $-0.0902$ $0$ $1.06024$ Modular form 3312.1.bw.b.275.3
2-3312-3312.275-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.275 $$ $0.0$ $0$ $-0.0902$ $0$ $1.13983$ Modular form 3312.1.bw.b.275.1
2-3312-3312.275-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.275 $$ $0.0$ $0$ $0.131$ $0$ $1.31699$ Modular form 3312.1.bw.a.275.2
2-3312-3312.275-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.275 $$ $0.0$ $0$ $0.465$ $0$ $1.96460$ Modular form 3312.1.bw.a.275.3
2-3312-3312.3035-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.3035 $$ $0.0$ $0$ $-0.131$ $0$ $0.201104$ Modular form 3312.1.bw.a.3035.2
2-3312-3312.3035-c0-0-1 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.3035 $$ $0.0$ $0$ $-0.465$ $0$ $0.880012$ Modular form 3312.1.bw.a.3035.3
2-3312-3312.3035-c0-0-2 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.3035 $$ $0.0$ $0$ $0.0902$ $0$ $1.14768$ Modular form 3312.1.bw.b.3035.3
2-3312-3312.3035-c0-0-3 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.3035 $$ $0.0$ $0$ $0.0902$ $0$ $1.17982$ Modular form 3312.1.bw.b.3035.2
2-3312-3312.3035-c0-0-4 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.3035 $$ $0.0$ $0$ $0.0902$ $0$ $1.23780$ Modular form 3312.1.bw.b.3035.1
2-3312-3312.3035-c0-0-5 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.3035 $$ $0.0$ $0$ $0.201$ $0$ $1.33854$ Modular form 3312.1.bw.a.3035.1
2-3312-3312.781-c0-0-0 $1.28$ $1.65$ $2$ $2^{4} \cdot 3^{2} \cdot 23$ 3312.781 $$ $0.0$ $0$ $-0.423$ $0$ $0.392617$ Modular form 3312.1.bp.b.781.1
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