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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
2-416-104.51-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.99755$ Artin representation 2.416.6t3.c Artin representation 2.416.6t3.c.a Modular form 416.1.h.a Modular form 416.1.h.a.207.1
2-416-104.51-c0-0-1 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.26480$ Artin representation 2.416.6t3.d Artin representation 2.416.6t3.d.a Modular form 416.1.h.b Modular form 416.1.h.b.207.1
2-416-13.11-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 13.11 $0.0$ 0 ✓ ✓ $0.202$ $0$ $2.37386$ Modular form 416.1.bl.a.193.1
2-416-13.2-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 13.2 $0.0$ 0 ✓ ✓ $0.0457$ $0$ $2.00582$ Modular form 416.1.bl.a.353.1
2-416-13.5-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 13.5 $0.0$ 0 ✓ ✓ $0.0782$ $0$ $2.23985$ Artin representation 2.416.8t17.a.a Modular form 416.1.t.a.161.1
2-416-13.6-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 13.6 $0.0$ 0 ✓ ✓ $-0.202$ $0$ $1.04679$ Modular form 416.1.bl.a.97.1
2-416-13.7-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 13.7 $0.0$ 0 ✓ ✓ $-0.0457$ $0$ $1.66165$ Modular form 416.1.bl.a.33.1
2-416-13.8-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 13.8 $0.0$ 0 ✓ ✓ $-0.0782$ $0$ $1.63117$ Artin representation 2.416.8t17.a.b Modular form 416.1.t.a.385.1
2-416-52.3-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 52.3 $0.0$ 0 ✓ ✓ $-0.167$ $0$ $1.16817$ Modular form 416.1.bb.a.159.1
2-416-52.3-c0-0-1 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 52.3 $0.0$ 0 ✓ ✓ $0.0823$ $0$ $2.28266$ Modular form 416.1.bb.a.159.2
2-416-52.35-c0-0-0 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 52.35 $0.0$ 0 ✓ ✓ $-0.0823$ $0$ $1.79150$ Modular form 416.1.bb.a.191.2
2-416-52.35-c0-0-1 $0.455$ $0.207$ $2$ $2^{5} \cdot 13$ 52.35 $0.0$ 0 ✓ ✓ $0.167$ $0$ $2.01481$ Modular form 416.1.bb.a.191.1
2-416-1.1-c1-0-0 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.556152$ Modular form 416.2.a.f.1.1
2-416-1.1-c1-0-1 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.982909$ Modular form 416.2.a.e.1.1
2-416-1.1-c1-0-10 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.34351$ Elliptic curve 416.a Modular form 416.2.a.a Modular form 416.2.a.a.1.1
2-416-1.1-c1-0-11 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.80712$ Modular form 416.2.a.c.1.2
2-416-1.1-c1-0-2 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.15759$ Modular form 416.2.a.d.1.1
2-416-1.1-c1-0-3 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.29802$ Modular form 416.2.a.f.1.2
2-416-1.1-c1-0-4 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.62873$ Elliptic curve 416.b Modular form 416.2.a.b Modular form 416.2.a.b.1.1
2-416-1.1-c1-0-5 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.72716$ Modular form 416.2.a.f.1.4
2-416-1.1-c1-0-6 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.73478$ Modular form 416.2.a.f.1.3
2-416-1.1-c1-0-7 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.79757$ Modular form 416.2.a.e.1.2
2-416-1.1-c1-0-8 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.02601$ Modular form 416.2.a.c.1.1
2-416-1.1-c1-0-9 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.09393$ Modular form 416.2.a.d.1.2
2-416-104.101-c1-0-0 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.414$ $0$ $0.252096$ Modular form 416.2.ba.c.49.4
2-416-104.101-c1-0-1 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.301$ $0$ $0.538293$ Modular form 416.2.ba.c.49.3
2-416-104.101-c1-0-10 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.116$ $0$ $2.36256$ Modular form 416.2.ba.c.49.8
2-416-104.101-c1-0-11 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.356$ $0$ $2.37431$ Modular form 416.2.ba.c.49.6
2-416-104.101-c1-0-2 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.334$ $0$ $0.634507$ Modular form 416.2.ba.a.49.1
2-416-104.101-c1-0-3 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.167$ $0$ $0.834241$ Modular form 416.2.ba.b.49.1
2-416-104.101-c1-0-4 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.0918$ $0$ $1.03738$ Modular form 416.2.ba.c.49.1
2-416-104.101-c1-0-5 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.0843$ $0$ $1.37689$ Modular form 416.2.ba.a.49.2
2-416-104.101-c1-0-6 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $-0.0378$ $0$ $1.39216$ Modular form 416.2.ba.c.49.5
2-416-104.101-c1-0-7 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.260$ $0$ $1.57707$ Modular form 416.2.ba.c.49.2
2-416-104.101-c1-0-8 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.0984$ $0$ $1.88627$ Modular form 416.2.ba.c.49.7
2-416-104.101-c1-0-9 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.101 $1.0$ $1$ ✓ ✓ $0.0823$ $0$ $1.89807$ Modular form 416.2.ba.b.49.2
2-416-104.11-c1-0-0 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.407$ $0$ $0.584257$ Modular form 416.2.bk.a.271.9
2-416-104.11-c1-0-1 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.0735$ $0$ $0.753372$ Modular form 416.2.bk.a.271.3
2-416-104.11-c1-0-10 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $0.411$ $0$ $2.09967$ Modular form 416.2.bk.a.271.5
2-416-104.11-c1-0-11 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.381$ $0$ $2.76511$ Modular form 416.2.bk.a.271.2
2-416-104.11-c1-0-2 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.369$ $0$ $0.976736$ Modular form 416.2.bk.a.271.11
2-416-104.11-c1-0-3 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.0372$ $0$ $1.37344$ Modular form 416.2.bk.a.271.7
2-416-104.11-c1-0-4 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.196$ $0$ $1.41536$ Modular form 416.2.bk.a.271.12
2-416-104.11-c1-0-5 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $0.0168$ $0$ $1.48057$ Modular form 416.2.bk.a.271.8
2-416-104.11-c1-0-6 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $0.287$ $0$ $1.86765$ Modular form 416.2.bk.a.271.1
2-416-104.11-c1-0-7 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $-0.0352$ $0$ $1.88049$ Modular form 416.2.bk.a.271.10
2-416-104.11-c1-0-8 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $0.161$ $0$ $2.02824$ Modular form 416.2.bk.a.271.6
2-416-104.11-c1-0-9 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.11 $1.0$ $1$ ✓ ✓ $0.290$ $0$ $2.05814$ Modular form 416.2.bk.a.271.4
2-416-104.19-c1-0-0 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.19 $1.0$ $1$ ✓ ✓ $0.381$ $0$ $0.0297952$ Modular form 416.2.bk.a.175.2
2-416-104.19-c1-0-1 $1.82$ $3.32$ $2$ $2^{5} \cdot 13$ 104.19 $1.0$ $1$ ✓ ✓ $-0.411$ $0$ $0.135305$ Modular form 416.2.bk.a.175.5
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