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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 5.1.41381.1 | x5 - x4 - 2x2 + 4x - 1 | \( 41381 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.48917.1 | x5 - 2x4 + 2x3 - 4x2 + 5x - 1 | \( 11\cdot 4447 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.52612.1 | x5 - 3x3 - 3x2 + 2x - 1 | \( 2^{2}\cdot 7\cdot 1879 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.61508.2 | x5 - 2x4 + x3 + 3x2 + 2x - 1 | \( 2^{2}\cdot 15377 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.61877.1 | x5 - x4 + 4x3 - 4x2 + 1 | \( 43\cdot 1439 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.64261.1 | x5 - 2x4 + 5x3 - 2x2 + x + 1 | \( 179\cdot 359 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.64665.1 | x5 - x4 + 2x3 - 5x2 + 5x - 1 | \( 3^{3}\cdot 5\cdot 479 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.73156.1 | x5 - x3 - x2 + 4x + 1 | \( 2^{2}\cdot 18289 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.78557.1 | x5 - x4 + 2x3 - 4x2 + 2x + 1 | \( 17\cdot 4621 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.79677.1 | x5 - x4 + 2x3 + x2 + 2x - 1 | \( 3^{3}\cdot 13\cdot 227 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.81417.1 | x5 - x4 + 3x3 - 6x2 + 3x - 1 | \( 3\cdot 7\cdot 3877 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.81508.1 | x5 - 2x4 - x3 + 5x2 + 1 | \( 2^{2}\cdot 7\cdot 41\cdot 71 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.81628.1 | x5 - 2x4 - 2x3 - x2 + 4x - 4 | \( 2^{2}\cdot 20407 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.83269.1 | x5 + 2x3 - 4x2 + x + 1 | \( 83269 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.83404.1 | x5 - x4 + x3 - 2x2 - 2x + 4 | \( 2^{2}\cdot 29\cdot 719 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.87257.1 | x5 + 6x3 - x2 + 2x + 1 | \( 87257 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.89092.1 | x5 - 2x4 + 3x3 + x2 + 2x + 1 | \( 2^{2}\cdot 22273 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.95461.1 | x5 + 2x3 - 4x2 + x - 1 | \( 95461 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.97301.1 | x5 - x4 + 4x3 - 3x2 + 2x + 1 | \( 97301 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.97397.1 | x5 - 2x4 + x3 + 3x + 1 | \( 97397 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.100708.1 | x5 - 2x4 + x3 + 5x2 - 2x + 1 | \( 2^{2}\cdot 17\cdot 1481 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.103997.1 | x5 - 2x4 + 4x3 - 2x2 - x - 1 | \( 103997 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.106328.1 | x5 - 2x4 + 3x3 - 7x2 + 2x - 1 | \( 2^{3}\cdot 13291 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.108421.1 | x5 - x4 + 4x3 + 4x + 1 | \( 108421 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.108449.1 | x5 - x4 + x3 - 4x2 + 3x + 1 | \( 11\cdot 9859 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.108716.1 | x5 - x4 - 3x3 + 2x2 + 6x + 4 | \( 2^{2}\cdot 27179 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.110029.1 | x5 + 2x3 - 2x2 + 4x - 1 | \( 19\cdot 5791 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.111509.1 | x5 - 2x4 + 6x3 - 4x2 + 4x + 1 | \( 111509 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.113429.1 | x5 - x4 + 4x2 + 2x - 1 | \( 31\cdot 3659 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.113717.1 | x5 - 4x2 - 1 | \( 113717 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.115037.1 | x5 - 2x4 + 3x3 - 2x2 - 3x - 1 | \( 13\cdot 8849 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.115256.1 | x5 - x4 + 3x3 - 2x2 + 8x + 1 | \( 2^{3}\cdot 14407 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.116073.1 | x5 - 2x4 + 5x3 - 5x2 + x - 1 | \( 3^{4}\cdot 1433 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.116317.2 | x5 - 2x4 + 4x3 - 7x2 + 7x - 4 | \( 41\cdot 2837 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.116849.1 | x5 - x4 - x3 + 4x2 + 5x + 1 | \( 116849 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.117668.1 | x5 - 2x4 - x3 + 3x2 + 4x - 1 | \( 2^{2}\cdot 23\cdot 1279 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.117749.1 | x5 - x4 + 2x3 - 3x2 - 2x - 1 | \( 73\cdot 1613 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.119433.1 | x5 - 2x4 + 5x3 - 6x2 + 2x + 1 | \( 3\cdot 41\cdot 971 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.120068.1 | x5 - x4 + 3x3 - 2x2 + 4x - 4 | \( 2^{2}\cdot 13\cdot 2309 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.120149.1 | x5 - x4 - 2x3 + 6x2 - 7x + 4 | \( 137\cdot 877 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.120917.1 | x5 - 4x2 + 5x - 1 | \( 120917 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.122364.1 | x5 - x4 + 2x3 - 5x2 + 8x - 4 | \( 2^{2}\cdot 3^{3}\cdot 11\cdot 103 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.122581.1 | x5 - 2x3 - 2x2 + 5x - 1 | \( 37\cdot 3313 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.124417.1 | x5 - 2x4 + 3x3 - 6x2 + 4x + 1 | \( 83\cdot 1499 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.130277.1 | x5 - x4 + 4x2 + 2x + 1 | \( 7\cdot 37\cdot 503 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.130925.1 | x5 - 2x4 + 4x3 - 6x2 + 3x + 1 | \( 5^{2}\cdot 5237 \) | $S_5$ (as 5T5) | $[3]$ |
| 5.1.135449.1 | x5 - x3 - 3x2 + 5x - 1 | \( 135449 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.139096.1 | x5 - x4 - x3 + 6x - 4 | \( 2^{3}\cdot 17387 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.140541.1 | x5 - 5x2 - x - 4 | \( 3\cdot 79\cdot 593 \) | $S_5$ (as 5T5) | $[2]$ |
| 5.1.142533.1 | x5 + x3 - 4x2 - 3x - 1 | \( 3^{3}\cdot 5279 \) | $S_5$ (as 5T5) | $[2]$ |
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