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Results (displaying matches 1-50 of 29534)
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| Label |
Polynomial |
Discriminant |
Galois group |
Class group |
| 4.0.3136.1 |
x4 - 2x3 + 2x2 + 2 |
\( 2^{6}\cdot 7^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.4225.1 |
x4 - x3 - 3x + 4 |
\( 5^{2}\cdot 13^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.5184.1 |
x4 - 2x3 + 6x2 - 4x + 2 |
\( 2^{6}\cdot 3^{4} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.8281.1 |
x4 - x3 + 5x2 - 4x + 3 |
\( 7^{2}\cdot 13^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.10816.1 |
x4 - 2x3 + 2x2 + 4x + 2 |
\( 2^{6}\cdot 13^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.15376.1 |
x4 + 7x2 - 2x + 14 |
\( 2^{4}\cdot 31^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.17689.1 |
x4 + 3x2 - 7x + 4 |
\( 7^{2}\cdot 19^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.23104.1 |
x4 - 2x3 + 10x2 - 8x + 2 |
\( 2^{6}\cdot 19^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.23409.1 |
x4 - x3 + 6x2 - 5x + 8 |
\( 3^{4}\cdot 17^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.4.26569.1 |
x4 - x3 - 7x2 + 2x + 9 |
\( 163^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.29241.1 |
x4 - x3 + 3x2 + x + 20 |
\( 3^{4}\cdot 19^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.29584.1 |
x4 - 2x3 + 2x2 + 10x + 9 |
\( 2^{4}\cdot 43^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.4.33489.1 |
x4 - 7x2 - 3x + 1 |
\( 3^{2}\cdot 61^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.40401.1 |
x4 - x3 + 4x2 - 12x + 24 |
\( 3^{2}\cdot 67^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.41209.1 |
x4 - x3 + 5x2 - 6x + 7 |
\( 7^{2}\cdot 29^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.43681.1 |
x4 - x3 - 9x2 + 6x + 25 |
\( 11^{2}\cdot 19^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.47961.1 |
x4 - x3 - 2x2 + 24 |
\( 3^{2}\cdot 73^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.61504.1 |
x4 - 6x2 - 8x + 28 |
\( 2^{6}\cdot 31^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.4.61504.1 |
x4 - 2x3 - 7x2 + 6x + 11 |
\( 2^{6}\cdot 31^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.63504.1 |
x4 - 2x3 + 6x2 - 4x + 20 |
\( 2^{4}\cdot 3^{4}\cdot 7^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.74529.1 |
x4 - x3 + 7x2 + 9x + 24 |
\( 3^{2}\cdot 7^{2}\cdot 13^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.4.76729.1 |
x4 - x3 - 11x2 + 4x + 12 |
\( 277^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.82369.1 |
x4 - x3 + 4x2 - 7x + 8 |
\( 7^{2}\cdot 41^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.87616.1 |
x4 - 8x2 - 8x + 44 |
\( 2^{6}\cdot 37^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.90601.1 |
x4 - x3 - 7x2 + 9x + 38 |
\( 7^{2}\cdot 43^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.95481.1 |
x4 + 13x2 - 3x + 46 |
\( 3^{2}\cdot 103^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.99225.1 |
x4 - x3 + 7x + 14 |
\( 3^{4}\cdot 5^{2}\cdot 7^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.110889.1 |
x4 - x3 + 6x2 + 11x + 10 |
\( 3^{4}\cdot 37^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.112225.1 |
x4 + 11x2 - 5x + 29 |
\( 5^{2}\cdot 67^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.118336.1 |
x4 - 2x3 + 9x2 - 6x + 7 |
\( 2^{6}\cdot 43^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.118336.2 |
x4 - 6x2 - 8x + 40 |
\( 2^{6}\cdot 43^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.4.121801.1 |
x4 - x3 - 10x2 + 3x + 20 |
\( 349^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.132496.1 |
x4 - 2x3 + 14x2 - 12x + 20 |
\( 2^{4}\cdot 7^{2}\cdot 13^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.4.157609.1 |
x4 - 13x2 - 2x + 19 |
\( 397^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.159201.1 |
x4 - 2x3 + 7x2 + 21x + 63 |
\( 3^{2}\cdot 7^{2}\cdot 19^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.162409.1 |
x4 - x3 - 6x2 + 7x + 18 |
\( 13^{2}\cdot 31^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.4.165649.1 |
x4 - 2x3 - 9x2 - x + 3 |
\( 11^{2}\cdot 37^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.190096.1 |
x4 - 2x3 + 5x2 + 4x + 5 |
\( 2^{4}\cdot 109^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.205209.1 |
x4 - x3 + 4x2 - 3x + 12 |
\( 3^{2}\cdot 151^{2} \) |
$A_4$ (as 4T4) |
$[8]$
|
| 4.0.219024.1 |
x4 - 2x3 + 3x2 + 6x + 6 |
\( 2^{4}\cdot 3^{4}\cdot 13^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.4.223729.1 |
x4 - x3 - 16x2 - 7x + 27 |
\( 11^{2}\cdot 43^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.227529.1 |
x4 - x3 + 3x2 - 8x + 11 |
\( 3^{4}\cdot 53^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.238144.1 |
x4 - 2x3 + 14x2 - 4x + 6 |
\( 2^{6}\cdot 61^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.246016.1 |
x4 + 2x2 - 4x + 10 |
\( 2^{8}\cdot 31^{2} \) |
$A_4$ (as 4T4) |
$[2, 2]$
|
| 4.0.246016.2 |
x4 + 10x2 - 4x + 2 |
\( 2^{8}\cdot 31^{2} \) |
$A_4$ (as 4T4) |
$[2, 2]$
|
| 4.0.247009.1 |
x4 - x3 + 9x + 10 |
\( 7^{2}\cdot 71^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.254016.1 |
x4 - 12x2 - 8x + 72 |
\( 2^{6}\cdot 3^{4}\cdot 7^{2} \) |
$A_4$ (as 4T4) |
Trivial
|
| 4.0.254016.2 |
x4 - 6x2 - 8x + 60 |
\( 2^{6}\cdot 3^{4}\cdot 7^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
| 4.0.254016.3 |
x4 + 18x2 - 8x + 120 |
\( 2^{6}\cdot 3^{4}\cdot 7^{2} \) |
$A_4$ (as 4T4) |
$[4]$
|
| 4.0.258064.1 |
x4 - 2x3 + 10x2 - 4x + 36 |
\( 2^{4}\cdot 127^{2} \) |
$A_4$ (as 4T4) |
$[2]$
|
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