111.1r000 
$0.00464$ 
$0.00464$ 
$1$ 
$1$ 
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 \(\Q\) 
155.4r000 
$0.0232$ 
$0.0232$ 
$1$ 
$5$ 
5.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 
✓ 
✓ 
$0$ 
$0$ 
$6.64845$ 
Dirichlet character \(\chi_{5} (4, \cdot) \) 
177.2r000 
$0.0325$ 
$0.0325$ 
$1$ 
$7$ 
7.2 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0732$ 
$0$ 
$4.35640$ 
Dirichlet character \(\chi_{7} (2, \cdot) \) 
177.4r000 
$0.0325$ 
$0.0325$ 
$1$ 
$7$ 
7.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0732$ 
$0$ 
$6.20123$ 
Dirichlet character \(\chi_{7} (4, \cdot) \) 
12e38.5r000 
$0.0371$ 
$0.0371$ 
$1$ 
$2^{3}$ 
8.5 
$0$ 
$$ 
$0$ 
✓ 
✓ 
✓ 
✓ 
$0$ 
$0$ 
$4.89997$ 
Dirichlet character \(\chi_{8} (5, \cdot) \) 
13e29.4r000 
$0.0417$ 
$0.0417$ 
$1$ 
$3^{2}$ 
9.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.111$ 
$0$ 
$5.31957$ 
Dirichlet character \(\chi_{9} (4, \cdot) \) 
13e29.7r000 
$0.0417$ 
$0.0417$ 
$1$ 
$3^{2}$ 
9.7 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.111$ 
$0$ 
$3.44409$ 
Dirichlet character \(\chi_{9} (7, \cdot) \) 
11111.3r000 
$0.0510$ 
$0.0510$ 
$1$ 
$11$ 
11.3 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.103$ 
$0$ 
$3.61004$ 
Dirichlet character \(\chi_{11} (3, \cdot) \) 
11111.4r000 
$0.0510$ 
$0.0510$ 
$1$ 
$11$ 
11.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.103$ 
$0$ 
$5.13369$ 
Dirichlet character \(\chi_{11} (4, \cdot) \) 
11111.5r000 
$0.0510$ 
$0.0510$ 
$1$ 
$11$ 
11.5 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.142$ 
$0$ 
$4.62935$ 
Dirichlet character \(\chi_{11} (5, \cdot) \) 
11111.9r000 
$0.0510$ 
$0.0510$ 
$1$ 
$11$ 
11.9 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.142$ 
$0$ 
$2.69600$ 
Dirichlet character \(\chi_{11} (9, \cdot) \) 
11212.11r000 
$0.0557$ 
$0.0557$ 
$1$ 
$2^{2} \cdot 3$ 
12.11 
$0$ 
$$ 
$0$ 
✓ 
✓ 
✓ 
✓ 
$0$ 
$0$ 
$3.80462$ 
Dirichlet character \(\chi_{12} (11, \cdot) \) 
11313.10r000 
$0.0603$ 
$0.0603$ 
$1$ 
$13$ 
13.10 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0853$ 
$0$ 
$3.66097$ 
Dirichlet character \(\chi_{13} (10, \cdot) \) 
11313.12r000 
$0.0603$ 
$0.0603$ 
$1$ 
$13$ 
13.12 
$0$ 
$$ 
$0$ 
✓ 
✓ 
✓ 
✓ 
$0$ 
$0$ 
$3.11934$ 
Dirichlet character \(\chi_{13} (12, \cdot) \) 
11313.3r000 
$0.0603$ 
$0.0603$ 
$1$ 
$13$ 
13.3 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.209$ 
$0$ 
$4.93859$ 
Dirichlet character \(\chi_{13} (3, \cdot) \) 
11313.4r000 
$0.0603$ 
$0.0603$ 
$1$ 
$13$ 
13.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0853$ 
$0$ 
$4.45485$ 
Dirichlet character \(\chi_{13} (4, \cdot) \) 
11313.9r000 
$0.0603$ 
$0.0603$ 
$1$ 
$13$ 
13.9 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.209$ 
$0$ 
$2.27313$ 
Dirichlet character \(\chi_{13} (9, \cdot) \) 
11515.2r000 
$0.0696$ 
$0.0696$ 
$1$ 
$3 \cdot 5$ 
15.2 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.161$ 
$0$ 
$2.73460$ 
Dirichlet character \(\chi_{15} (2, \cdot) \) 
11515.8r000 
$0.0696$ 
$0.0696$ 
$1$ 
$3 \cdot 5$ 
15.8 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.161$ 
$0$ 
$4.40670$ 
Dirichlet character \(\chi_{15} (8, \cdot) \) 
12e416.13r000 
$0.0743$ 
$0.0743$ 
$1$ 
$2^{4}$ 
16.13 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0625$ 
$0$ 
$3.77219$ 
Dirichlet character \(\chi_{16} (13, \cdot) \) 
12e416.5r000 
$0.0743$ 
$0.0743$ 
$1$ 
$2^{4}$ 
16.5 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0625$ 
$0$ 
$2.84244$ 
Dirichlet character \(\chi_{16} (5, \cdot) \) 
11717.13r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.13 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.144$ 
$0$ 
$3.38764$ 
Dirichlet character \(\chi_{17} (13, \cdot) \) 
11717.15r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.15 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.237$ 
$0$ 
$4.85147$ 
Dirichlet character \(\chi_{17} (15, \cdot) \) 
11717.16r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.16 
$0$ 
$$ 
$0$ 
✓ 
✓ 
✓ 
✓ 
$0$ 
$0$ 
$3.72814$ 
Dirichlet character \(\chi_{17} (16, \cdot) \) 
11717.2r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.2 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.117$ 
$0$ 
$3.73234$ 
Dirichlet character \(\chi_{17} (2, \cdot) \) 
11717.4r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.144$ 
$0$ 
$1.89456$ 
Dirichlet character \(\chi_{17} (4, \cdot) \) 
11717.8r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.8 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.237$ 
$0$ 
$2.12217$ 
Dirichlet character \(\chi_{17} (8, \cdot) \) 
11717.9r000 
$0.0789$ 
$0.0789$ 
$1$ 
$17$ 
17.9 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.117$ 
$0$ 
$3.03085$ 
Dirichlet character \(\chi_{17} (9, \cdot) \) 
11919.11r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.11 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.299$ 
$0$ 
$1.57320$ 
Dirichlet character \(\chi_{19} (11, \cdot) \) 
11919.16r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.16 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.113$ 
$0$ 
$3.63715$ 
Dirichlet character \(\chi_{19} (16, \cdot) \) 
11919.17r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.17 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0530$ 
$0$ 
$2.87454$ 
Dirichlet character \(\chi_{19} (17, \cdot) \) 
11919.4r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.132$ 
$0$ 
$4.27062$ 
Dirichlet character \(\chi_{19} (4, \cdot) \) 
11919.5r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.5 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.132$ 
$0$ 
$2.73327$ 
Dirichlet character \(\chi_{19} (5, \cdot) \) 
11919.6r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.6 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.113$ 
$0$ 
$3.09878$ 
Dirichlet character \(\chi_{19} (6, \cdot) \) 
11919.7r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.7 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.299$ 
$0$ 
$4.40883$ 
Dirichlet character \(\chi_{19} (7, \cdot) \) 
11919.9r000 
$0.0882$ 
$0.0882$ 
$1$ 
$19$ 
19.9 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0530$ 
$0$ 
$2.13818$ 
Dirichlet character \(\chi_{19} (9, \cdot) \) 
12020.3r000 
$0.0928$ 
$0.0928$ 
$1$ 
$2^{2} \cdot 5$ 
20.3 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0881$ 
$0$ 
$2.43970$ 
Dirichlet character \(\chi_{20} (3, \cdot) \) 
12020.7r000 
$0.0928$ 
$0.0928$ 
$1$ 
$2^{2} \cdot 5$ 
20.7 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0881$ 
$0$ 
$3.53109$ 
Dirichlet character \(\chi_{20} (7, \cdot) \) 
12121.17r000 
$0.0975$ 
$0.0975$ 
$1$ 
$3 \cdot 7$ 
21.17 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.146$ 
$0$ 
$2.71366$ 
Dirichlet character \(\chi_{21} (17, \cdot) \) 
12121.20r000 
$0.0975$ 
$0.0975$ 
$1$ 
$3 \cdot 7$ 
21.20 
$0$ 
$$ 
$0$ 
✓ 
✓ 
✓ 
✓ 
$0$ 
$0$ 
$2.31518$ 
Dirichlet character \(\chi_{21} (20, \cdot) \) 
12121.5r000 
$0.0975$ 
$0.0975$ 
$1$ 
$3 \cdot 7$ 
21.5 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.146$ 
$0$ 
$3.93679$ 
Dirichlet character \(\chi_{21} (5, \cdot) \) 
12323.12r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.12 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.233$ 
$0$ 
$1.96977$ 
Dirichlet character \(\chi_{23} (12, \cdot) \) 
12323.13r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.13 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.248$ 
$0$ 
$4.12168$ 
Dirichlet character \(\chi_{23} (13, \cdot) \) 
12323.16r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.16 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.248$ 
$0$ 
$2.04476$ 
Dirichlet character \(\chi_{23} (16, \cdot) \) 
12323.18r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.18 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0263$ 
$0$ 
$3.18006$ 
Dirichlet character \(\chi_{23} (18, \cdot) \) 
12323.2r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.2 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.233$ 
$0$ 
$4.10757$ 
Dirichlet character \(\chi_{23} (2, \cdot) \) 
12323.3r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.3 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.187$ 
$0$ 
$1.27653$ 
Dirichlet character \(\chi_{23} (3, \cdot) \) 
12323.4r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.4 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0869$ 
$0$ 
$2.69506$ 
Dirichlet character \(\chi_{23} (4, \cdot) \) 
12323.6r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.6 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.0869$ 
$0$ 
$2.47039$ 
Dirichlet character \(\chi_{23} (6, \cdot) \) 
12323.8r000 
$0.106$ 
$0.106$ 
$1$ 
$23$ 
23.8 
$0$ 
$$ 
$0$ 
✓ 
✓ 


$0.187$ 
$0$ 
$3.01197$ 
Dirichlet character \(\chi_{23} (8, \cdot) \) 