⌂
→
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.
show all
Results (1-50 of 1012 matches)
Next
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
Galois conjugate representations are grouped into single lines.
Label
Dimension
Conductor
Ramified prime count
Artin stem field
$G$
Projective image
Container
Ind
$\chi(c)$
4.5744.8t39.d.a
$4$
$ 2^{4} \cdot 359 $
$2$
8.0.8248384.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.6224.8t39.d.a
$4$
$ 2^{4} \cdot 389 $
$2$
8.0.9684544.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.6571.8t39.d.a
$4$
$ 6571 $
$1$
8.0.43178041.3
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.6883.8t39.a.a
$4$
$ 6883 $
$1$
8.0.47375689.3
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.6928.8t39.a.a
$4$
$ 2^{4} \cdot 433 $
$2$
8.0.11999296.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.7537.8t39.a.a
$4$
$ 7537 $
$1$
8.4.56806369.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.8069.8t39.a.a
$4$
$ 8069 $
$1$
8.4.65108761.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.9136.8t39.c.a
$4$
$ 2^{4} \cdot 571 $
$2$
8.0.20866624.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.11344.8t39.e.a
$4$
$ 2^{4} \cdot 709 $
$2$
8.0.32171584.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.11348.8t39.a.a
$4$
$ 2^{2} \cdot 2837 $
$2$
8.4.128777104.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.13136.8t39.d.a
$4$
$ 2^{4} \cdot 821 $
$2$
8.0.43138624.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.14013.8t39.a.a
$4$
$ 3^{4} \cdot 173 $
$2$
8.4.196364169.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.14272.8t39.d.a
$4$
$ 2^{6} \cdot 223 $
$2$
8.0.12730624.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.15952.8t39.f.a
$4$
$ 2^{4} \cdot 997 $
$2$
8.0.63616576.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.16448.8t39.d.a
$4$
$ 2^{6} \cdot 257 $
$2$
8.0.4227136.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.18256.8t39.e.a
$4$
$ 2^{4} \cdot 7 \cdot 163 $
$3$
8.4.83320384.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$2$
4.18608.8t39.f.a
$4$
$ 2^{4} \cdot 1163 $
$2$
8.0.86564416.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.18736.8t39.d.a
$4$
$ 2^{4} \cdot 1171 $
$2$
8.0.87759424.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.21200.8t39.a.a
$4$
$ 2^{4} \cdot 5^{2} \cdot 53 $
$3$
8.0.112360000.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.22896.8t39.a.a
$4$
$ 2^{4} \cdot 3^{3} \cdot 53 $
$3$
8.0.131056704.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.23728.8t39.f.a
$4$
$ 2^{4} \cdot 1483 $
$2$
8.0.140754496.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.24183.8t39.c.a
$4$
$ 3^{2} \cdot 2687 $
$2$
8.4.64979721.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$2$
4.24183.8t39.d.a
$4$
$ 3^{2} \cdot 2687 $
$2$
8.0.64979721.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.24496.8t39.f.a
$4$
$ 2^{4} \cdot 1531 $
$2$
8.0.150013504.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.25408.8t39.c.a
$4$
$ 2^{6} \cdot 397 $
$2$
8.0.40347904.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.25808.8t39.b.a
$4$
$ 2^{4} \cdot 1613 $
$2$
8.0.166513216.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.27472.8t39.e.a
$4$
$ 2^{4} \cdot 17 \cdot 101 $
$3$
8.0.188677696.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.30672.8t39.f.a
$4$
$ 2^{4} \cdot 3^{3} \cdot 71 $
$3$
8.4.235192896.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$2$
4.32368.8t39.f.a
$4$
$ 2^{4} \cdot 7 \cdot 17^{2}$
$3$
8.0.261921856.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.32688.8t39.a.a
$4$
$ 2^{4} \cdot 3^{2} \cdot 227 $
$3$
8.4.118722816.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$2$
4.32688.8t39.b.a
$4$
$ 2^{4} \cdot 3^{2} \cdot 227 $
$3$
8.0.118722816.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.33088.8t39.a.a
$4$
$ 2^{6} \cdot 11 \cdot 47 $
$3$
8.4.68425984.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$2$
4.33856.8t39.d.a
$4$
$ 2^{6} \cdot 23^{2}$
$2$
8.0.71639296.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.39888.8t39.e.a
$4$
$ 2^{4} \cdot 3^{2} \cdot 277 $
$3$
8.4.176783616.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$2$
4.39888.8t39.f.a
$4$
$ 2^{4} \cdot 3^{2} \cdot 277 $
$3$
8.0.176783616.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.40437.8t39.a.a
$4$
$ 3^{2} \cdot 4493 $
$2$
8.0.181683441.2
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.44496.8t39.a.a
$4$
$ 2^{4} \cdot 3^{3} \cdot 103 $
$3$
8.0.494973504.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.44608.8t39.b.a
$4$
$ 2^{6} \cdot 17 \cdot 41 $
$3$
8.0.31091776.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.48064.8t39.c.a
$4$
$ 2^{6} \cdot 751 $
$2$
8.0.36096064.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.48704.8t39.c.a
$4$
$ 2^{6} \cdot 761 $
$2$
8.0.37063744.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.50432.8t39.e.a
$4$
$ 2^{8} \cdot 197 $
$2$
8.0.39740416.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.52400.8t39.i.a
$4$
$ 2^{4} \cdot 5^{2} \cdot 131 $
$3$
8.0.109830400.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.52400.8t39.j.a
$4$
$ 2^{4} \cdot 5^{2} \cdot 131 $
$3$
8.0.109830400.2
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.54864.8t39.g.a
$4$
$ 2^{4} \cdot 3^{3} \cdot 127 $
$3$
8.0.334450944.2
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.54864.8t39.h.a
$4$
$ 2^{4} \cdot 3^{3} \cdot 127 $
$3$
8.0.334450944.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.55728.8t39.a.a
$4$
$ 2^{4} \cdot 3^{4} \cdot 43 $
$3$
8.0.776402496.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.56144.8t39.d.a
$4$
$ 2^{4} \cdot 11^{2} \cdot 29 $
$3$
8.0.788037184.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.57483.8t39.a.a
$4$
$ 3^{3} \cdot 2129 $
$2$
8.0.367143921.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$-2$
4.58624.8t39.a.a
$4$
$ 2^{8} \cdot 229 $
$2$
8.0.13424896.2
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
4.58624.8t39.b.a
$4$
$ 2^{8} \cdot 229 $
$2$
8.0.13424896.1
$C_2^3:S_4$
$C_2^2:S_4$
$C_2^3:S_4$
$1$
$0$
Next
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV