⌂
→
Artin representations
→
Search results
Citation
·
Feedback
·
Hide Menu
Artin representation search results
Introduction
Overview
Random
Universe
Knowledge
L-functions
Rational
All
Modular forms
Classical
Maass
Hilbert
Bianchi
Varieties
Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Fields
Number fields
$p$-adic fields
Representations
Dirichlet characters
Artin representations
Groups
Galois groups
Sato-Tate groups
Database
↑
Learn more
Source and acknowledgments
Completeness of the data
Reliability of the data
Artin representations labels
Refine search
Dimension
Conductor
Group
Root number
Parity
even
odd
Smallest permutation
Ramified
include
exactly
subset
Unramified primes
Ramified prime count
Frobenius-Schur
Projective image
Projective image type
Dn
A4
S4
A5
Sort order
Select
Search again
Random representation
▲ dimension
conductor
group
ramified prime count
projective image
columns to display
✓ label
✓ dimension
✓ conductor
ramified prime count
✓ Artin stem field
✓ image
projective image
container
✓ indicator
✓ trace of complex conj.
Results (1-50 of 34680 matches)
Next
Galois conjugate representations are grouped into single lines.
Label
Dimension
Conductor
Ramified prime count
Artin stem field
$G$
Projective image
Container
Ind
$\chi(c)$
4.3897.6t13.b.a
$4$
$ 3^{2} \cdot 433 $
$2$
6.0.11691.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.5517.6t13.a.a
$4$
$ 3^{2} \cdot 613 $
$2$
6.0.16551.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.5648.6t13.b.a
$4$
$ 2^{4} \cdot 353 $
$2$
6.0.22592.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.6025.6t13.a.a
$4$
$ 5^{2} \cdot 241 $
$2$
6.2.30125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.6208.6t13.b.a
$4$
$ 2^{6} \cdot 97 $
$2$
6.2.49664.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.7025.6t13.a.a
$4$
$ 5^{2} \cdot 281 $
$2$
6.2.35125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.7677.6t13.a.a
$4$
$ 3^{2} \cdot 853 $
$2$
6.0.23031.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.8001.6t13.a.a
$4$
$ 3^{2} \cdot 7 \cdot 127 $
$3$
6.0.24003.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.10225.6t13.a.a
$4$
$ 5^{2} \cdot 409 $
$2$
6.2.51125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.10388.6t13.b.a
$4$
$ 2^{2} \cdot 7^{2} \cdot 53 $
$3$
6.0.72716.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.10449.6t13.b.a
$4$
$ 3^{5} \cdot 43 $
$2$
6.0.31347.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.10525.6t13.b.a
$4$
$ 5^{2} \cdot 421 $
$2$
6.2.52625.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.11225.6t13.a.a
$4$
$ 5^{2} \cdot 449 $
$2$
6.2.56125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.11457.6t13.b.a
$4$
$ 3^{2} \cdot 19 \cdot 67 $
$3$
6.0.34371.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.11920.6t13.a.a
$4$
$ 2^{4} \cdot 5 \cdot 149 $
$3$
6.0.47680.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.12352.6t13.b.a
$4$
$ 2^{6} \cdot 193 $
$2$
6.0.49408.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.13401.6t13.b.a
$4$
$ 3^{2} \cdot 1489 $
$2$
6.0.40203.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.13941.6t13.b.a
$4$
$ 3^{2} \cdot 1549 $
$2$
6.0.41823.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.14225.6t13.a.a
$4$
$ 5^{2} \cdot 569 $
$2$
6.2.71125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.14832.6t13.b.a
$4$
$ 2^{4} \cdot 3^{2} \cdot 103 $
$3$
6.0.44496.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.14912.6t13.a.a
$4$
$ 2^{6} \cdot 233 $
$2$
6.0.59648.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.15028.6t13.a.a
$4$
$ 2^{2} \cdot 13 \cdot 17^{2}$
$3$
6.2.255476.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.15248.6t13.b.a
$4$
$ 2^{4} \cdot 953 $
$2$
6.0.60992.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.15533.6t13.b.a
$4$
$ 7^{2} \cdot 317 $
$2$
6.0.108731.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.15993.6t13.a.a
$4$
$ 3^{2} \cdot 1777 $
$2$
6.0.47979.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.16400.6t13.c.a
$4$
$ 2^{4} \cdot 5^{2} \cdot 41 $
$3$
6.2.82000.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.16400.6t13.d.a
$4$
$ 2^{4} \cdot 5^{2} \cdot 41 $
$3$
6.0.65600.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.16525.6t13.a.a
$4$
$ 5^{2} \cdot 661 $
$2$
6.2.82625.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.16713.6t13.b.a
$4$
$ 3^{3} \cdot 619 $
$2$
6.0.50139.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.17525.6t13.b.a
$4$
$ 5^{2} \cdot 701 $
$2$
6.2.87625.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.17856.6t13.b.a
$4$
$ 2^{6} \cdot 3^{2} \cdot 31 $
$3$
6.0.53568.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.17984.6t13.b.a
$4$
$ 2^{6} \cdot 281 $
$2$
6.0.143872.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.18688.6t13.b.a
$4$
$ 2^{8} \cdot 73 $
$2$
6.2.149504.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.19097.6t13.b.a
$4$
$ 13^{2} \cdot 113 $
$2$
6.2.248261.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.19197.6t13.b.a
$4$
$ 3^{5} \cdot 79 $
$2$
6.0.57591.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.19989.6t13.b.a
$4$
$ 3^{2} \cdot 2221 $
$2$
6.0.59967.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.20025.6t13.a.a
$4$
$ 3^{2} \cdot 5^{2} \cdot 89 $
$3$
6.2.100125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.20525.6t13.a.a
$4$
$ 5^{2} \cdot 821 $
$2$
6.2.102625.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.20624.6t13.b.a
$4$
$ 2^{4} \cdot 1289 $
$2$
6.0.82496.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.20725.6t13.a.a
$4$
$ 5^{2} \cdot 829 $
$2$
6.2.103625.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.20975.6t13.a.a
$4$
$ 5^{2} \cdot 839 $
$2$
6.4.104875.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$2$
4.22784.6t13.b.a
$4$
$ 2^{8} \cdot 89 $
$2$
6.2.182272.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.23225.6t13.a.a
$4$
$ 5^{2} \cdot 929 $
$2$
6.2.116125.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.23488.6t13.a.a
$4$
$ 2^{6} \cdot 367 $
$2$
6.4.187904.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$2$
4.23553.6t13.b.a
$4$
$ 3^{2} \cdot 2617 $
$2$
6.0.70659.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.23616.6t13.b.a
$4$
$ 2^{6} \cdot 3^{2} \cdot 41 $
$3$
6.2.188928.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.24048.6t13.a.a
$4$
$ 2^{4} \cdot 3^{2} \cdot 167 $
$3$
6.4.288576.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$2$
4.24128.6t13.a.a
$4$
$ 2^{6} \cdot 13 \cdot 29 $
$3$
6.0.96512.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.24208.6t13.b.a
$4$
$ 2^{4} \cdot 17 \cdot 89 $
$3$
6.0.96832.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
4.24489.6t13.b.a
$4$
$ 3^{3} \cdot 907 $
$2$
6.0.73467.1
$C_3^2:D_4$
$S_3\wr C_2$
$C_3^2:D_4$
$1$
$0$
Next