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Results (displaying matches 1-50 of 436253) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 7.3.612233.1 | x7 - x6 + x5 - x3 + x2 - x - 1 | \( 71\cdot 8623 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.612569.1 | x7 - 3x5 - x4 + 3x3 + 1 | \( 593\cdot 1033 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.640681.1 | x7 - 2x6 + 2x5 - 3x3 + 2x2 - 1 | \( 59\cdot 10859 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.649177.1 | x7 - x6 - x4 + 3x2 - 1 | \( 59\cdot 11003 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.661033.1 | x7 - x6 - x5 + 2x3 + x2 - 2x - 1 | \( 173\cdot 3821 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.674057.1 | x7 - 3x6 + 5x5 - 6x4 + 3x3 - x2 - x + 1 | \( 674057 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.689033.1 | x7 - x5 - 3x4 - x3 + 2x2 + 2x + 1 | \( 689033 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.696401.1 | x7 - x6 + 2x4 - 4x3 + 4x2 - 4x + 1 | \( 109\cdot 6389 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.724873.1 | x7 - x6 + x4 - 2x3 + x2 - 1 | \( 31\cdot 67\cdot 349 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.726721.1 | x7 - x6 + 2x4 - 5x3 + 4x2 - 3x + 1 | \( 79\cdot 9199 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.746633.1 | x7 - 3x6 + 4x5 - 5x4 + 4x3 - 2x2 + x + 1 | \( 127\cdot 5879 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.753209.1 | x7 - x6 - x5 + 4x4 - 3x3 - x2 + 3x - 1 | \( 37\cdot 20357 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.763993.1 | x7 - x6 - x5 + x4 - 2x3 + 2x + 1 | \( 113\cdot 6761 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.765529.1 | x7 - 2x6 + 3x4 - 4x3 + 2x - 1 | \( 19\cdot 43\cdot 937 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.780401.1 | x7 - 2x6 + 2x5 - x4 - 2x3 + 2x2 - 2x + 1 | \( 780401 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.788857.1 | x7 - x6 - x5 + 3x4 - 2x3 + 2x - 1 | \( 31\cdot 25447 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.789289.1 | x7 - x4 - 2x3 + 1 | \( 79\cdot 97\cdot 103 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.792873.1 | x7 - 2x6 + 2x5 + x4 - 2x3 + 2x2 - 1 | \( 3^{2}\cdot 37\cdot 2381 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.794233.1 | x7 - x5 - 3x4 - x3 + 3x2 + x - 1 | \( 11\cdot 103\cdot 701 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.796753.1 | x7 - x6 - 2x5 + 2x4 + x3 - x - 1 | \( 41\cdot 19433 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.819713.1 | x7 - 3x6 + 3x5 - 4x3 + 3x2 - 1 | \( 41\cdot 19993 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.830801.1 | x7 - 2x6 + x5 + x4 - 3x3 + 2x2 - 1 | \( 830801 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.838289.1 | x7 - 3x5 - x4 + 3x3 - 2x + 1 | \( 521\cdot 1609 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.877193.1 | x7 - x6 - 2x5 + x4 + 2x3 + x2 - 2x - 1 | \( 739\cdot 1187 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.891169.1 | x7 - x6 - x5 + 2x4 - 3x2 + 1 | \( 149\cdot 5981 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.909673.1 | x7 - 2x6 + 3x5 - 4x4 + 2x3 - x2 - x + 1 | \( 23\cdot 39551 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.909929.1 | x7 - 2x5 - x4 + 4x3 + 2x2 - 2x - 1 | \( 19\cdot 83\cdot 577 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.919969.1 | x7 - 2x6 - x5 + 3x4 + x3 - 3x2 - x + 1 | \( 919969 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.941177.1 | x7 - 2x5 + x3 - x2 - x + 1 | \( 113\cdot 8329 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.970129.1 | x7 - x6 - 2x5 + 2x4 + x3 - 2x2 - x + 1 | \( 571\cdot 1699 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.983441.1 | x7 - 2x5 - x4 - x3 + x2 + 2x + 1 | \( 983441 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.995173.1 | x7 - 3x5 - x4 + 2x3 + 3x2 - 1 | \( 995173 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1011913.1 | x7 - x6 - x5 + 3x4 - 2x3 - 2x2 + 2x + 1 | \( 7\cdot 37\cdot 3907 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1016777.1 | x7 - x6 - 3x5 + 4x4 + x3 - 3x2 + x + 1 | \( 1016777 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1018217.1 | x7 - x6 + x5 - 3x4 - x2 + x + 1 | \( 1018217 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1026801.1 | x7 - x6 - x5 - x4 + x3 + x2 + 1 | \( 3^{2}\cdot 114089 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1033441.1 | x7 - x6 + x4 - x2 - 2x + 1 | \( 1033441 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1045573.1 | x7 - x6 - x5 + 2x4 + x3 - 2x2 - 2x + 1 | \( 1045573 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1047017.1 | x7 - 2x5 - 2x4 + x3 + x2 + x + 1 | \( 41\cdot 25537 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1048193.1 | x7 - 3x6 + 3x5 - 2x4 + 2x3 - x2 - 2x + 1 | \( 1048193 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1063369.1 | x7 - x6 - x5 - x3 + x2 + x + 1 | \( 499\cdot 2131 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1069193.1 | x7 - 2x5 - 2x4 + 3x3 + 2x2 - 2x - 1 | \( 1069193 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1072033.1 | x7 - x5 - x4 - x3 - x2 + x + 1 | \( 43\cdot 107\cdot 233 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1078193.1 | x7 - x6 + 2x4 - 3x3 + x - 1 | \( 19\cdot 56747 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1084313.1 | x7 - x6 + 2x4 - 2x3 - 1 | \( 1084313 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1087369.1 | x7 - x6 - x5 + 3x4 - 2x3 - x2 + x - 1 | \( 137\cdot 7937 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1104217.1 | x7 - 3x6 + 6x5 - 7x4 + 4x3 - 3x + 1 | \( 1104217 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1106461.1 | x7 - 2x6 + x5 + 2x4 - 3x3 + x2 - 1 | \( 23\cdot 73\cdot 659 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1121929.1 | x7 - x6 - x5 - x4 + 2x3 - 2x2 + 1 | \( 163\cdot 6883 \) | $S_7$ (as 7T7) | Trivial |
| 7.3.1123273.1 | x7 - 2x6 + 2x5 - 2x3 + 2x2 - x - 1 | \( 263\cdot 4271 \) | $S_7$ (as 7T7) | Trivial |
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