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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
2-684-684.463-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.463 $$ $0.0$ $0$ $0.172$ $0$ $2.09211$ Modular form 684.1.bm.a.463.2
2-684-76.11-c0-0-3 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $2.15275$ Modular form 684.1.q.a.163.3
2-684-684.391-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.391 $$ $0.0$ $0$ $-0.394$ $0$ $0.709394$ Artin representation 2.684.16t60.a.a Modular form 684.1.x.a.391.2
2-684-19.18-c0-0-2 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $1.94363$ Modular form 684.1.h.b.37.2
2-684-76.11-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $1.35869$ Modular form 684.1.q.a.163.1
2-684-76.7-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $1.28343$ Modular form 684.1.q.a.235.3
2-684-19.10-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.10 $$ $0.0$ $0$ $0.0796$ $0$ $1.86105$ Modular form 684.1.bx.a.181.1
2-684-684.7-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.7 $$ $0.0$ $0$ $0.394$ $0$ $2.52170$ Artin representation 2.684.16t60.a.c Modular form 684.1.x.a.7.1
2-684-684.463-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.463 $$ $0.0$ $0$ $-0.327$ $0$ $3.38435$ Modular form 684.1.bm.a.463.1
2-684-684.619-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.619 $$ $0.0$ $0$ $0.327$ $0$ $0.141599$ Modular form 684.1.bm.a.619.1
2-684-76.7-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $1.54956$ Modular form 684.1.q.a.235.1
2-684-684.391-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.391 $$ $0.0$ $0$ $0.105$ $0$ $1.57799$ Artin representation 2.684.16t60.a.d Modular form 684.1.x.a.391.1
2-684-19.2-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.2 $$ $0.0$ $0$ $-0.0796$ $0$ $1.35416$ Modular form 684.1.bx.a.325.1
2-684-76.11-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $0.884902$ Modular form 684.1.q.a.163.2
2-684-76.11-c0-0-2 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $1.62463$ Modular form 684.1.q.a.163.4
2-684-19.18-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $1.37889$ Modular form 684.1.h.b.37.1
2-684-19.13-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.13 $$ $0.0$ $0$ $-0.166$ $0$ $1.02671$ Modular form 684.1.bx.a.469.1
2-684-19.15-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.15 $$ $0.0$ $0$ $0.0191$ $0$ $1.60769$ Modular form 684.1.bx.a.433.1
2-684-684.619-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.619 $$ $0.0$ $0$ $-0.172$ $0$ $1.61416$ Modular form 684.1.bm.a.619.2
2-684-19.14-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.14 $$ $0.0$ $0$ $-0.0191$ $0$ $1.49219$ Modular form 684.1.bx.a.109.1
2-684-76.7-c0-0-2 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $1.73012$ Modular form 684.1.q.a.235.2
2-684-19.3-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.3 $$ $0.0$ $0$ $0.166$ $0$ $2.05313$ Modular form 684.1.bx.a.649.1
2-684-19.18-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $1.62495$ Artin representation 2.684.6t3.b Artin representation 2.684.6t3.b.a Modular form 684.1.h.a Modular form 684.1.h.a.37.1
2-684-76.7-c0-0-3 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $2.20776$ Modular form 684.1.q.a.235.4
2-684-684.7-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.7 $$ $0.0$ $0$ $-0.105$ $0$ $1.42024$ Artin representation 2.684.16t60.a.b Modular form 684.1.x.a.7.2
2-684-228.131-c1-0-0 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.131 $$ $1.0$ $1$ $-0.411$ $0$ $0.0106366$ Modular form 684.2.ce.a.359.5
2-684-228.119-c1-0-2 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.119 $$ $1.0$ $1$ $-0.377$ $0$ $0.118306$ Modular form 684.2.ce.a.575.12
2-684-228.119-c1-0-12 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.119 $$ $1.0$ $1$ $-0.196$ $0$ $0.687739$ Modular form 684.2.ce.a.575.3
2-684-228.119-c1-0-27 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.119 $$ $1.0$ $1$ $0.109$ $0$ $1.66130$ Modular form 684.2.ce.a.575.11
2-684-228.119-c1-0-9 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.119 $$ $1.0$ $1$ $-0.410$ $0$ $0.550218$ Modular form 684.2.ce.a.575.18
2-684-228.119-c1-0-20 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.119 $$ $1.0$ $1$ $0.139$ $0$ $1.19625$ Modular form 684.2.ce.a.575.10
2-684-228.131-c1-0-1 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.131 $$ $1.0$ $1$ $0.430$ $0$ $0.0134873$ Modular form 684.2.ce.a.359.3
2-684-228.11-c1-0-6 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.11 $$ $1.0$ $1$ $-0.0839$ $0$ $0.769826$ Modular form 684.2.z.b.467.12
2-684-228.11-c1-0-26 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.11 $$ $1.0$ $1$ $0.0640$ $0$ $1.74170$ Modular form 684.2.z.a.467.3
2-684-228.11-c1-0-7 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.11 $$ $1.0$ $1$ $-0.0910$ $0$ $0.911859$ Modular form 684.2.z.b.467.6
2-684-684.535-c1-0-61 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $0.0536$ $0$ $1.40226$ Modular form 684.2.cc.a.535.111
2-684-684.535-c1-0-60 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $-0.0594$ $0$ $1.40156$ Modular form 684.2.cc.a.535.101
2-684-684.535-c1-0-5 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $-0.395$ $0$ $0.333216$ Modular form 684.2.cc.a.535.16
2-684-228.11-c1-0-8 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.11 $$ $1.0$ $1$ $-0.389$ $0$ $0.945002$ Modular form 684.2.z.b.467.15
2-684-228.131-c1-0-10 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 228.131 $$ $1.0$ $1$ $-0.312$ $0$ $0.769462$ Modular form 684.2.ce.a.359.10
2-684-171.59-c1-0-4 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 171.59 $$ $1.0$ $1$ $-0.109$ $0$ $0.490060$ Modular form 684.2.bv.a.401.11
2-684-19.9-c1-0-0 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.9 $$ $1.0$ $1$ $-0.349$ $0$ $0.237482$ Modular form 684.2.bo.c.541.1
2-684-19.7-c1-0-8 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.7 $$ $1.0$ $1$ $-0.401$ $1$ $2.55793$ Modular form 684.2.k.a.577.1
2-684-19.9-c1-0-1 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.9 $$ $1.0$ $1$ $-0.0988$ $0$ $0.748499$ Modular form 684.2.bo.d.541.1
2-684-684.535-c1-0-6 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $-0.300$ $0$ $0.406999$ Modular form 684.2.cc.a.535.102
2-684-684.535-c1-0-81 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $0.486$ $0$ $1.72891$ Modular form 684.2.cc.a.535.53
2-684-684.535-c1-0-82 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $0.353$ $0$ $1.74161$ Modular form 684.2.cc.a.535.43
2-684-684.535-c1-0-83 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $0.190$ $0$ $1.76957$ Modular form 684.2.cc.a.535.32
2-684-684.535-c1-0-84 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $-0.177$ $0$ $1.79764$ Modular form 684.2.cc.a.535.90
2-684-684.535-c1-0-85 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.535 $$ $1.0$ $1$ $0.226$ $0$ $1.81516$ Modular form 684.2.cc.a.535.115
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