Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
$\epsilon$ |
$r$ |
First zero |
Origin |
1-1-1.1-r0-0-0 |
$0.00464$ |
$0.00464$ |
$1$ |
$1$ |
1.1 |
$$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$14.1347$ |
Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Dirichlet character \(\chi_{1} (1, \cdot) \) Number field \(\Q\) |
1-5-5.4-r0-0-0 |
$0.0232$ |
$0.0232$ |
$1$ |
$5$ |
5.4 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$6.64845$ |
Dirichlet character \(\chi_{5} (4, \cdot) \) |
1-2e3-8.5-r0-0-0 |
$0.0371$ |
$0.0371$ |
$1$ |
$2^{3}$ |
8.5 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$4.89997$ |
Dirichlet character \(\chi_{8} (5, \cdot) \) |
1-12-12.11-r0-0-0 |
$0.0557$ |
$0.0557$ |
$1$ |
$2^{2} \cdot 3$ |
12.11 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.80462$ |
Dirichlet character \(\chi_{12} (11, \cdot) \) |
1-13-13.12-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.12 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.11934$ |
Dirichlet character \(\chi_{13} (12, \cdot) \) |
1-17-17.16-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.16 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.72814$ |
Dirichlet character \(\chi_{17} (16, \cdot) \) |
1-21-21.20-r0-0-0 |
$0.0975$ |
$0.0975$ |
$1$ |
$3 \cdot 7$ |
21.20 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.31518$ |
Dirichlet character \(\chi_{21} (20, \cdot) \) |
2-23-23.22-c0-0-0 |
$0.107$ |
$0.0114$ |
$2$ |
$23$ |
23.22 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$5.11568$ |
Artin representation 2.23.3t2.b Artin representation 2.23.3t2.b.a Modular form 23.1.b.a Modular form 23.1.b.a.22.1 |
1-24-24.11-r0-0-0 |
$0.111$ |
$0.111$ |
$1$ |
$2^{3} \cdot 3$ |
24.11 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.68865$ |
Dirichlet character \(\chi_{24} (11, \cdot) \) |
2-31-31.30-c0-0-0 |
$0.124$ |
$0.0154$ |
$2$ |
$31$ |
31.30 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$4.16621$ |
Artin representation 2.31.3t2.b Artin representation 2.31.3t2.b.a Modular form 31.1.b.a Modular form 31.1.b.a.30.1 |
1-28-28.27-r0-0-0 |
$0.130$ |
$0.130$ |
$1$ |
$2^{2} \cdot 7$ |
28.27 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.77728$ |
Dirichlet character \(\chi_{28} (27, \cdot) \) |
1-29-29.28-r0-0-0 |
$0.134$ |
$0.134$ |
$1$ |
$29$ |
29.28 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.79380$ |
Dirichlet character \(\chi_{29} (28, \cdot) \) |
2-39-39.38-c0-0-0 |
$0.139$ |
$0.0194$ |
$2$ |
$3 \cdot 13$ |
39.38 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$4.39582$ |
Artin representation 2.39.4t3.a Artin representation 2.39.4t3.a.a Modular form 39.1.d.a Modular form 39.1.d.a.38.1 |
2-44-11.10-c0-0-0 |
$0.148$ |
$0.0219$ |
$2$ |
$2^{2} \cdot 11$ |
11.10 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$4.04199$ |
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 |
1-33-33.32-r0-0-0 |
$0.153$ |
$0.153$ |
$1$ |
$3 \cdot 11$ |
33.32 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.99695$ |
Dirichlet character \(\chi_{33} (32, \cdot) \) |
2-55-55.54-c0-0-0 |
$0.165$ |
$0.0274$ |
$2$ |
$5 \cdot 11$ |
55.54 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.81577$ |
Artin representation 2.55.4t3.c Artin representation 2.55.4t3.c.a Modular form 55.1.d.a Modular form 55.1.d.a.54.1 |
2-56-56.13-c0-0-0 |
$0.167$ |
$0.0279$ |
$2$ |
$2^{3} \cdot 7$ |
56.13 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.00942$ |
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 |
2-59-59.58-c0-0-0 |
$0.171$ |
$0.0294$ |
$2$ |
$59$ |
59.58 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.43180$ |
Artin representation 2.59.3t2.a Artin representation 2.59.3t2.a.a Modular form 59.1.b.a Modular form 59.1.b.a.58.1 |
1-37-37.36-r0-0-0 |
$0.171$ |
$0.171$ |
$1$ |
$37$ |
37.36 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.05722$ |
Dirichlet character \(\chi_{37} (36, \cdot) \) |
2-63-7.6-c0-0-0 |
$0.177$ |
$0.0314$ |
$2$ |
$3^{2} \cdot 7$ |
7.6 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.51328$ |
Artin representation 2.63.4t3.a Artin representation 2.63.4t3.a.a Modular form 63.1.d.a Modular form 63.1.d.a.55.1 |
2-68-68.67-c0-0-0 |
$0.184$ |
$0.0339$ |
$2$ |
$2^{2} \cdot 17$ |
68.67 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.75562$ |
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 |
1-40-40.29-r0-0-0 |
$0.185$ |
$0.185$ |
$1$ |
$2^{3} \cdot 5$ |
40.29 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.48821$ |
Dirichlet character \(\chi_{40} (29, \cdot) \) |
1-41-41.40-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.40 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.47534$ |
Dirichlet character \(\chi_{41} (40, \cdot) \) |
2-76-19.18-c0-0-0 |
$0.194$ |
$0.0379$ |
$2$ |
$2^{2} \cdot 19$ |
19.18 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.27623$ |
Artin representation 2.76.3t2.a Artin representation 2.76.3t2.a.a Modular form 76.1.c.a Modular form 76.1.c.a.37.1 |
2-80-20.19-c0-0-0 |
$0.199$ |
$0.0399$ |
$2$ |
$2^{4} \cdot 5$ |
20.19 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.18874$ |
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 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.91606$ |
Artin representation 2.83.3t2.a Artin representation 2.83.3t2.a.a Modular form 83.1.b.a Modular form 83.1.b.a.82.1 |
1-44-44.43-r0-0-0 |
$0.204$ |
$0.204$ |
$1$ |
$2^{2} \cdot 11$ |
44.43 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.86993$ |
Dirichlet character \(\chi_{44} (43, \cdot) \) |
2-87-87.86-c0-0-0 |
$0.208$ |
$0.0434$ |
$2$ |
$3 \cdot 29$ |
87.86 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.68368$ |
Artin representation 2.87.3t2.a Artin representation 2.87.3t2.a.a Modular form 87.1.d.a Modular form 87.1.d.a.86.1 |
2-87-87.86-c0-0-1 |
$0.208$ |
$0.0434$ |
$2$ |
$3 \cdot 29$ |
87.86 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$3.53215$ |
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 |
$$ |
$0.0$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.87350$ |
Artin representation 2.95.4t3.c Artin representation 2.95.4t3.c.a Modular form 95.1.d.a Modular form 95.1.d.a.94.1 |
1-53-53.52-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.52 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.28711$ |
Dirichlet character \(\chi_{53} (52, \cdot) \) |
1-56-56.27-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.27 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.70166$ |
Dirichlet character \(\chi_{56} (27, \cdot) \) |
1-57-57.56-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.56 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.40313$ |
Dirichlet character \(\chi_{57} (56, \cdot) \) |
1-60-60.59-r0-0-0 |
$0.278$ |
$0.278$ |
$1$ |
$2^{2} \cdot 3 \cdot 5$ |
60.59 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.88060$ |
Dirichlet character \(\chi_{60} (59, \cdot) \) |
1-61-61.60-r0-0-0 |
$0.283$ |
$0.283$ |
$1$ |
$61$ |
61.60 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.94459$ |
Dirichlet character \(\chi_{61} (60, \cdot) \) |
2-11-1.1-c1-0-0 |
$0.296$ |
$0.0878$ |
$2$ |
$11$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$6.36261$ |
Elliptic curve 11.a Modular form 11.2.a.a Modular form 11.2.a.a.1.1 |
1-65-65.64-r0-0-0 |
$0.301$ |
$0.301$ |
$1$ |
$5 \cdot 13$ |
65.64 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.04804$ |
Dirichlet character \(\chi_{65} (64, \cdot) \) |
1-69-69.68-r0-0-0 |
$0.320$ |
$0.320$ |
$1$ |
$3 \cdot 23$ |
69.68 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.57186$ |
Dirichlet character \(\chi_{69} (68, \cdot) \) |
1-3-3.2-r1-0-0 |
$0.322$ |
$0.322$ |
$1$ |
$3$ |
3.2 |
$1$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$8.03973$ |
Dirichlet character \(\chi_{3} (2, \cdot) \) |
2-14-1.1-c1-0-0 |
$0.334$ |
$0.111$ |
$2$ |
$2 \cdot 7$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$5.57928$ |
Elliptic curve 14.a Modular form 14.2.a.a Modular form 14.2.a.a.1.1 |
1-73-73.72-r0-0-0 |
$0.339$ |
$0.339$ |
$1$ |
$73$ |
73.72 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.59808$ |
Dirichlet character \(\chi_{73} (72, \cdot) \) |
2-15-1.1-c1-0-0 |
$0.346$ |
$0.119$ |
$2$ |
$3 \cdot 5$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$5.23920$ |
Elliptic curve 15.a Modular form 15.2.a.a Modular form 15.2.a.a.1.1 |
1-76-76.75-r0-0-0 |
$0.352$ |
$0.352$ |
$1$ |
$2^{2} \cdot 19$ |
76.75 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$2.14993$ |
Dirichlet character \(\chi_{76} (75, \cdot) \) |
1-77-77.76-r0-0-0 |
$0.357$ |
$0.357$ |
$1$ |
$7 \cdot 11$ |
77.76 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.07518$ |
Dirichlet character \(\chi_{77} (76, \cdot) \) |
2-17-1.1-c1-0-0 |
$0.368$ |
$0.135$ |
$2$ |
$17$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$4.74199$ |
Elliptic curve 17.a Modular form 17.2.a.a Modular form 17.2.a.a.1.1 |
2-19-1.1-c1-0-0 |
$0.389$ |
$0.151$ |
$2$ |
$19$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$5.03912$ |
Elliptic curve 19.a Modular form 19.2.a.a Modular form 19.2.a.a.1.1 |
1-85-85.84-r0-0-0 |
$0.394$ |
$0.394$ |
$1$ |
$5 \cdot 17$ |
85.84 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.75250$ |
Dirichlet character \(\chi_{85} (84, \cdot) \) |
2-20-1.1-c1-0-0 |
$0.399$ |
$0.159$ |
$2$ |
$2^{2} \cdot 5$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$4.78130$ |
Elliptic curve 20.a Modular form 20.2.a.a Modular form 20.2.a.a.1.1 |
1-88-88.43-r0-0-0 |
$0.408$ |
$0.408$ |
$1$ |
$2^{3} \cdot 11$ |
88.43 |
$0$ |
$$ |
$0$ |
✓ |
$1$ |
$0$ |
$1.86469$ |
Dirichlet character \(\chi_{88} (43, \cdot) \) |
2-21-1.1-c1-0-0 |
$0.409$ |
$0.167$ |
$2$ |
$3 \cdot 7$ |
1.1 |
$$ |
$1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$4.13559$ |
Elliptic curve 21.a Modular form 21.2.a.a Modular form 21.2.a.a.1.1 |