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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
1-1-1.1-r0-0-0 $0.00464$ $0.00464$ $1$ $1$ 1.1 $$ $$ $0$ $0$ $0$ $14.1347$ Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Dirichlet character \(\chi_{1} (1, \cdot) \) Number field \(\Q\)
2-23-23.22-c0-0-0 $0.107$ $0.0114$ $2$ $23$ 23.22 $$ $0.0$ $0$ $0$ $0$ $5.11568$ Artin representation 2.23.3t2.b Artin representation 2.23.3t2.b.a Modular form 23.1.b.a Modular form 23.1.b.a.22.1
2-31-31.30-c0-0-0 $0.124$ $0.0154$ $2$ $31$ 31.30 $$ $0.0$ $0$ $0$ $0$ $4.16621$ Artin representation 2.31.3t2.b Artin representation 2.31.3t2.b.a Modular form 31.1.b.a Modular form 31.1.b.a.30.1
2-39-39.38-c0-0-0 $0.139$ $0.0194$ $2$ $3 \cdot 13$ 39.38 $$ $0.0$ $0$ $0$ $0$ $4.39582$ Artin representation 2.39.4t3.a Artin representation 2.39.4t3.a.a Modular form 39.1.d.a Modular form 39.1.d.a.38.1
2-44-11.10-c0-0-0 $0.148$ $0.0219$ $2$ $2^{2} \cdot 11$ 11.10 $$ $0.0$ $0$ $0$ $0$ $4.04199$ Artin representation 2.44.3t2.b Artin representation 2.44.3t2.b.a Modular form 44.1.d.a Modular form 44.1.d.a.21.1
2-47-47.46-c0-0-1 $0.153$ $0.0234$ $2$ $47$ 47.46 $$ $0.0$ $0$ $0$ $0$ $4.44331$ Artin representation 2.47.5t2.a.b Modular form 47.1.b.a.46.2
2-47-47.46-c0-0-0 $0.153$ $0.0234$ $2$ $47$ 47.46 $$ $0.0$ $0$ $0$ $0$ $2.98743$ Artin representation 2.47.5t2.a.a Modular form 47.1.b.a.46.1
4-47e2-1.1-c0e2-0-0 $0.153$ $0.000550$ $4$ $47^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.98743$ Artin representation 2.47.5t2.a Modular form 47.1.b.a
2-52-52.3-c0-0-0 $0.161$ $0.0259$ $2$ $2^{2} \cdot 13$ 52.3 $$ $0.0$ $0$ $0.123$ $0$ $4.16168$ Artin representation 2.52.6t5.b.b Modular form 52.1.j.a.3.1
2-52-52.35-c0-0-0 $0.161$ $0.0259$ $2$ $2^{2} \cdot 13$ 52.35 $$ $0.0$ $0$ $-0.123$ $0$ $3.05212$ Artin representation 2.52.6t5.b.a Modular form 52.1.j.a.35.1
4-52e2-1.1-c0e2-0-0 $0.161$ $0.000673$ $4$ $2^{4} \cdot 13^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $3.05212$ Artin representation 2.52.6t5.b Modular form 52.1.j.a
2-55-55.54-c0-0-0 $0.165$ $0.0274$ $2$ $5 \cdot 11$ 55.54 $$ $0.0$ $0$ $0$ $0$ $3.81577$ Artin representation 2.55.4t3.c Artin representation 2.55.4t3.c.a Modular form 55.1.d.a Modular form 55.1.d.a.54.1
2-56-56.13-c0-0-0 $0.167$ $0.0279$ $2$ $2^{3} \cdot 7$ 56.13 $$ $0.0$ $0$ $0$ $0$ $3.00942$ Artin representation 2.56.4t3.b Artin representation 2.56.4t3.b.a Modular form 56.1.h.a Modular form 56.1.h.a.13.1
2-57-57.11-c0-0-0 $0.168$ $0.0284$ $2$ $3 \cdot 19$ 57.11 $$ $0.0$ $0$ $-0.0338$ $0$ $3.30843$ Artin representation 2.57.6t5.a.a Modular form 57.1.h.a.11.1
4-57e2-1.1-c0e2-0-0 $0.168$ $0.000809$ $4$ $3^{2} \cdot 19^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $3.30843$ Artin representation 2.57.6t5.a Modular form 57.1.h.a
2-57-57.26-c0-0-0 $0.168$ $0.0284$ $2$ $3 \cdot 19$ 57.26 $$ $0.0$ $0$ $0.0338$ $0$ $3.89339$ Artin representation 2.57.6t5.a.b Modular form 57.1.h.a.26.1
2-59-59.58-c0-0-0 $0.171$ $0.0294$ $2$ $59$ 59.58 $$ $0.0$ $0$ $0$ $0$ $3.43180$ Artin representation 2.59.3t2.a Artin representation 2.59.3t2.a.a Modular form 59.1.b.a Modular form 59.1.b.a.58.1
2-63-7.6-c0-0-0 $0.177$ $0.0314$ $2$ $3^{2} \cdot 7$ 7.6 $$ $0.0$ $0$ $0$ $0$ $3.51328$ Artin representation 2.63.4t3.a Artin representation 2.63.4t3.a.a Modular form 63.1.d.a Modular form 63.1.d.a.55.1
2-68-68.67-c0-0-0 $0.184$ $0.0339$ $2$ $2^{2} \cdot 17$ 68.67 $$ $0.0$ $0$ $0$ $0$ $2.75562$ Artin representation 2.68.4t3.a Artin representation 2.68.4t3.a.a Modular form 68.1.d.a Modular form 68.1.d.a.67.1
2-68-68.47-c0-0-0 $0.184$ $0.0339$ $2$ $2^{2} \cdot 17$ 68.47 $$ $0.0$ $0$ $-0.144$ $0$ $3.03544$ Artin representation 2.68.8t17.a.b Modular form 68.1.f.a.47.1
2-68-68.55-c0-0-0 $0.184$ $0.0339$ $2$ $2^{2} \cdot 17$ 68.55 $$ $0.0$ $0$ $0.144$ $0$ $4.22564$ Artin representation 2.68.8t17.a.a Modular form 68.1.f.a.55.1
4-68e2-1.1-c0e2-0-0 $0.184$ $0.00115$ $4$ $2^{4} \cdot 17^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $3.03544$ Artin representation 2.68.8t17.a Modular form 68.1.f.a
2-71-71.70-c0-0-1 $0.188$ $0.0354$ $2$ $71$ 71.70 $$ $0.0$ $0$ $0$ $0$ $3.39979$ Artin representation 2.71.7t2.a.a Modular form 71.1.b.a.70.2
2-71-71.70-c0-0-2 $0.188$ $0.0354$ $2$ $71$ 71.70 $$ $0.0$ $0$ $0$ $0$ $3.95531$ Artin representation 2.71.7t2.a.b Modular form 71.1.b.a.70.3
2-71-71.70-c0-0-0 $0.188$ $0.0354$ $2$ $71$ 71.70 $$ $0.0$ $0$ $0$ $0$ $2.19448$ Artin representation 2.71.7t2.a.c Modular form 71.1.b.a.70.1
6-71e3-71.70-c0e3-0-0 $0.188$ $4.44\times 10^{-5}$ $6$ $71^{3}$ 71.70 $$ $0.0, 0.0, 0.0$ $0$ $0$ $0$ $2.19448$ Artin representation 2.71.7t2.a Modular form 71.1.b.a
2-72-72.67-c0-0-0 $0.189$ $0.0359$ $2$ $2^{3} \cdot 3^{2}$ 72.67 $$ $0.0$ $0$ $0.222$ $0$ $4.17397$ Artin representation 2.72.6t5.b.b Modular form 72.1.p.a.67.1
2-72-72.43-c0-0-0 $0.189$ $0.0359$ $2$ $2^{3} \cdot 3^{2}$ 72.43 $$ $0.0$ $0$ $-0.222$ $0$ $2.13460$ Artin representation 2.72.6t5.b.a Modular form 72.1.p.a.43.1
4-72e2-1.1-c0e2-0-0 $0.189$ $0.00129$ $4$ $2^{6} \cdot 3^{4}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.13460$ Artin representation 2.72.6t5.b Modular form 72.1.p.a
2-76-19.18-c0-0-0 $0.194$ $0.0379$ $2$ $2^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $3.27623$ Artin representation 2.76.3t2.a Artin representation 2.76.3t2.a.a Modular form 76.1.c.a Modular form 76.1.c.a.37.1
2-79-79.78-c0-0-1 $0.198$ $0.0394$ $2$ $79$ 79.78 $$ $0.0$ $0$ $0$ $0$ $3.84845$ Artin representation 2.79.5t2.a.b Modular form 79.1.b.a.78.2
4-79e2-1.1-c0e2-0-0 $0.198$ $0.00155$ $4$ $79^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.25042$ Artin representation 2.79.5t2.a Modular form 79.1.b.a
2-79-79.78-c0-0-0 $0.198$ $0.0394$ $2$ $79$ 79.78 $$ $0.0$ $0$ $0$ $0$ $2.25042$ Artin representation 2.79.5t2.a.a Modular form 79.1.b.a.78.1
2-80-20.19-c0-0-0 $0.199$ $0.0399$ $2$ $2^{4} \cdot 5$ 20.19 $$ $0.0$ $0$ $0$ $0$ $3.18874$ Artin representation 2.80.4t3.a Artin representation 2.80.4t3.a.a Modular form 80.1.h.a Modular form 80.1.h.a.79.1
2-83-83.82-c0-0-0 $0.203$ $0.0414$ $2$ $83$ 83.82 $$ $0.0$ $0$ $0$ $0$ $2.91606$ Artin representation 2.83.3t2.a Artin representation 2.83.3t2.a.a Modular form 83.1.b.a Modular form 83.1.b.a.82.1
2-84-21.11-c0-0-0 $0.204$ $0.0419$ $2$ $2^{2} \cdot 3 \cdot 7$ 21.11 $$ $0.0$ $0$ $-0.0732$ $0$ $2.56497$ Artin representation 2.84.6t5.b.a Modular form 84.1.p.a.53.1
4-84e2-1.1-c0e2-0-0 $0.204$ $0.00175$ $4$ $2^{4} \cdot 3^{2} \cdot 7^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.56497$ Artin representation 2.84.6t5.b Modular form 84.1.p.a
2-84-21.2-c0-0-0 $0.204$ $0.0419$ $2$ $2^{2} \cdot 3 \cdot 7$ 21.2 $$ $0.0$ $0$ $0.0732$ $0$ $3.52084$ Artin representation 2.84.6t5.b.b Modular form 84.1.p.a.65.1
2-87-87.86-c0-0-0 $0.208$ $0.0434$ $2$ $3 \cdot 29$ 87.86 $$ $0.0$ $0$ $0$ $0$ $2.68368$ Artin representation 2.87.3t2.a Artin representation 2.87.3t2.a.a Modular form 87.1.d.a Modular form 87.1.d.a.86.1
2-87-87.86-c0-0-1 $0.208$ $0.0434$ $2$ $3 \cdot 29$ 87.86 $$ $0.0$ $0$ $0$ $0$ $3.53215$ Artin representation 2.87.6t3.b Artin representation 2.87.6t3.b.a Modular form 87.1.d.b Modular form 87.1.d.b.86.1
2-95-95.94-c0-0-1 $0.217$ $0.0474$ $2$ $5 \cdot 19$ 95.94 $$ $0.0$ $0$ $0$ $0$ $2.87350$ Artin representation 2.95.4t3.c Artin representation 2.95.4t3.c.a Modular form 95.1.d.a Modular form 95.1.d.a.94.1
2-95-95.94-c0-0-2 $0.217$ $0.0474$ $2$ $5 \cdot 19$ 95.94 $$ $0.0$ $0$ $0$ $0$ $3.66881$ Artin representation 2.95.8t6.a.b Modular form 95.1.d.b.94.2
2-95-95.94-c0-0-0 $0.217$ $0.0474$ $2$ $5 \cdot 19$ 95.94 $$ $0.0$ $0$ $0$ $0$ $2.51518$ Artin representation 2.95.8t6.a.a Modular form 95.1.d.b.94.1
4-95e2-1.1-c0e2-0-0 $0.217$ $0.00224$ $4$ $5^{2} \cdot 19^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.51518$ Artin representation 2.95.8t6.a Modular form 95.1.d.b
2-99-99.76-c0-0-0 $0.222$ $0.0494$ $2$ $3^{2} \cdot 11$ 99.76 $$ $0.0$ $0$ $-0.111$ $0$ $2.19749$ Artin representation 2.99.6t5.a.b Modular form 99.1.h.a.76.1
2-99-99.43-c0-0-0 $0.222$ $0.0494$ $2$ $3^{2} \cdot 11$ 99.43 $$ $0.0$ $0$ $0.111$ $0$ $3.48574$ Artin representation 2.99.6t5.a.a Modular form 99.1.h.a.43.1
4-99e2-1.1-c0e2-0-0 $0.222$ $0.00244$ $4$ $3^{4} \cdot 11^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.19749$ Artin representation 2.99.6t5.a Modular form 99.1.h.a
4-103e2-1.1-c0e2-0-0 $0.226$ $0.00264$ $4$ $103^{2}$ 1.1 $$ $0.0, 0.0$ $0$ $0$ $0$ $2.00946$ Artin representation 2.103.5t2.a Modular form 103.1.b.a
2-103-103.102-c0-0-0 $0.226$ $0.0514$ $2$ $103$ 103.102 $$ $0.0$ $0$ $0$ $0$ $2.00946$ Artin representation 2.103.5t2.a.b Modular form 103.1.b.a.102.1
2-103-103.102-c0-0-1 $0.226$ $0.0514$ $2$ $103$ 103.102 $$ $0.0$ $0$ $0$ $0$ $3.28396$ Artin representation 2.103.5t2.a.a Modular form 103.1.b.a.102.2
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