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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 10.0.21144617347.1 | x10 - 3x9 + 3x8 - 6x7 + 11x6 - 5x5 + 7x4 - 11x3 + 3x + 1 | \( -\,7^{2}\cdot 23\cdot 101\cdot 431^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.23863536599.2 | x10 - x9 + 6x8 + 3x7 - x6 + 37x5 - 2x4 + 12x3 + 48x2 - 16x + 32 | \( -\,7^{5}\cdot 17^{5} \) | $D_5$ (as 10T2) | $[2]$ |
| 10.0.25786890999.1 | x10 - 3x9 + x8 + 5x7 - 8x6 + 3x5 + 13x4 - 23x3 + 17x2 - 6x + 1 | \( -\,3^{5}\cdot 2251\cdot 47143 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.26642567991.1 | x10 - x8 - 5x7 + 5x6 - 2x5 + 9x4 - 5x3 + 7x2 - x + 1 | \( -\,3\cdot 13\cdot 59^{2}\cdot 443^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.27521121875.1 | x10 - x9 + 4x8 - 3x7 + 10x6 - x5 + 20x4 + x3 + 21x2 - 4x + 1 | \( -\,5^{5}\cdot 13^{2}\cdot 31\cdot 41^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.27996690715.1 | x10 - x9 + 5x8 - x7 + 13x6 + x5 + 13x4 - x3 + 5x2 - x + 1 | \( -\,5\cdot 7^{3}\cdot 41\cdot 631^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.28023421888.1 | x10 - 4x9 + 7x8 - 10x7 + 16x6 - 18x5 + 12x4 - 10x3 + 8x2 - 2x + 1 | \( -\,2^{6}\cdot 7\cdot 11^{2}\cdot 719^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.28049553895.1 | x10 - 3x9 + 6x8 - 7x7 + 7x6 - 7x5 + 7x4 - 7x3 + 6x2 - 3x + 1 | \( -\,5\cdot 11^{3}\cdot 2053^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.28752750191.1 | x10 - 5x9 + 10x8 - 10x7 + 6x6 - 4x5 + 2x4 + x3 - 2x2 + x + 1 | \( -\,11\cdot 59^{2}\cdot 83^{2}\cdot 109 \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.29730115179.1 | x10 - 2x9 + 5x8 - 11x7 + 6x6 + 13x5 - 16x4 + 8x2 - 4x + 1 | \( -\,3^{8}\cdot 4531339 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.29807896987.1 | x10 - 2x9 + 5x6 - 4x5 + 6x4 - 10x3 + 5x2 - x + 1 | \( -\,11\cdot 59^{2}\cdot 83^{2}\cdot 113 \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.30042615123.1 | x10 - 2x9 + 3x8 - 4x7 + 6x6 - 10x5 + 6x4 - 5x3 + 8x2 - 3x + 1 | \( -\,3^{5}\cdot 11119^{2} \) | $S_5\times C_2$ (as 10T22) | $[2]$ |
| 10.0.30401192960.1 | x10 - 4x9 + 7x8 - 8x7 + 8x6 - 10x5 + 10x4 - 6x3 + 6x2 - 4x + 1 | \( -\,2^{10}\cdot 5\cdot 853\cdot 6961 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.30569276799.1 | x10 - 3x9 + x8 + 9x7 - 17x6 + 4x5 + 21x4 - 28x3 + 18x2 - 6x + 1 | \( -\,3^{5}\cdot 349\cdot 360457 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.30987265024.2 | x10 - 2x8 + 2x4 - x2 + 1 | \( -\,2^{10}\cdot 5501^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.31634094491.1 | x10 - 2x9 + 6x8 - 8x7 + 13x6 - 6x5 + 14x4 + 8x3 + 9x2 - x + 1 | \( -\,31\cdot 149\cdot 2617^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.32356789675.1 | x10 - 3x9 + 6x8 - 8x7 + 12x6 - 19x5 + 25x4 - 22x3 + 13x2 - 5x + 1 | \( -\,5^{2}\cdot 7\cdot 61\cdot 1741^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.32938746880.1 | x10 - 2x9 + 3x8 - 10x7 + 15x6 - 14x5 + 19x4 - 14x3 + 4x2 - 2x + 1 | \( -\,2^{10}\cdot 5\cdot 13\cdot 494873 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.33175452528.1 | x10 - 4x9 + 4x8 - x7 + 9x6 - 25x5 + 29x4 - 17x3 + 8x2 - 4x + 1 | \( -\,2^{4}\cdot 3^{5}\cdot 31\cdot 275251 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.33191669588.1 | x10 + 2x8 + 6x6 - 4x5 + 6x4 + 2x2 + 1 | \( -\,2^{2}\cdot 7^{3}\cdot 11\cdot 1483^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.33849995499.1 | x10 - x9 + 5x8 + 2x7 + 15x6 + 13x5 + 22x4 + 16x3 + 12x2 + 5x + 1 | \( -\,3^{5}\cdot 61\cdot 103\cdot 22171 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.34395934307.1 | x10 - 3x9 + 8x8 - 18x7 + 27x6 - 23x5 + 3x4 + 9x3 - x2 - 3x + 1 | \( -\,7^{2}\cdot 41\cdot 43\cdot 631^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.34566529075.1 | x10 - 4x9 + 11x8 - 17x7 + 22x6 - 12x5 + 10x4 + 2x3 + 13x2 - 2x + 1 | \( -\,5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2}\cdot 157 \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.35236014039.1 | x10 - 2x9 - x7 + 16x6 - 35x5 + 37x4 - 24x3 + 12x2 - 4x + 1 | \( -\,3^{5}\cdot 1951\cdot 74323 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.35619686959.1 | x10 - 3x9 + 9x8 - 9x7 + 14x6 - x5 + 13x4 + 2x3 + 15x2 + 3x + 1 | \( -\,43\cdot 157\cdot 2297^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.36483460371.1 | x10 - 4x9 + 5x8 + 6x7 - 22x6 + 13x5 + 27x4 - 47x3 + 29x2 - 8x + 1 | \( -\,3^{6}\cdot 50045899 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.36567430479.1 | x10 - 4x9 + 7x8 - 2x7 - 13x6 + 17x5 - 4x4 - 7x3 + 9x2 - 4x + 1 | \( -\,3^{5}\cdot 150483253 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.36729519107.1 | x10 + 6x8 - x7 + 13x6 - 10x5 + 19x4 - 22x3 + 29x2 - 7x + 25 | \( -\,31\cdot 173\cdot 2617^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.36915460911.1 | x10 - 2x9 - x8 + 9x7 - 15x6 + x5 + 23x4 - 26x3 + 16x2 - 6x + 1 | \( -\,3^{5}\cdot 7\cdot 21702211 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.36927700335.1 | x10 - x9 - 2x8 + 3x7 + 5x6 - 11x5 + 5x4 + 3x3 - 2x2 - x + 1 | \( -\,3^{5}\cdot 5\cdot 37^{2}\cdot 149^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.37148024304.1 | x10 - 2x9 - 3x8 + 7x7 + 8x6 - 26x5 + 20x4 - 4x3 - 2x2 + x + 1 | \( -\,2^{4}\cdot 3^{5}\cdot 9554533 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.37378282599.1 | x10 - 2x9 + 3x8 - 2x7 + 7x6 - 7x5 + 7x4 + 2x3 + 3x2 + 3x + 1 | \( -\,3^{5}\cdot 7\cdot 21974299 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.37651630819.1 | x10 - 3x9 + 4x8 - 5x7 + 10x6 - 11x5 + 5x4 - 6x3 + 11x2 - 6x + 1 | \( -\,11\cdot 41\cdot 9137^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.38249071355.1 | x10 - 3x9 + x8 + 12x7 - 21x6 + x5 + 29x4 - 31x3 + 14x2 - 3x + 1 | \( -\,5\cdot 11\cdot 29\cdot 59^{2}\cdot 83^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.38748886528.1 | x10 + 3x8 - 2x7 + 13x6 - 16x5 + 24x4 - 18x3 + 12x2 - 4x + 1 | \( -\,2^{9}\cdot 11\cdot 43^{2}\cdot 61^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.39187298043.1 | x10 - x8 - 2x7 - 2x6 + 2x5 - 2x4 + x3 + 8x2 + 3x + 1 | \( -\,3^{9}\cdot 17^{2}\cdot 83^{2} \) | $S_5\times C_2$ (as 10T22) | $[2]$ |
| 10.0.39304218151.1 | x10 - 5x9 + 12x8 - 18x7 + 15x6 - 3x5 - 3x4 - x2 + 2x + 1 | \( -\,11\cdot 59^{2}\cdot 83^{2}\cdot 149 \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.39529556496.1 | x10 - 2x9 - x8 + 7x7 - 2x6 - 14x5 + 12x4 + 6x3 - 6x2 - x + 1 | \( -\,2^{4}\cdot 3^{5}\cdot 241\cdot 42187 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.39876183727.1 | x10 + 3x8 - 6x7 + 2x6 - 10x5 + 8x4 + 6x2 - 4x + 1 | \( -\,41\cdot 47\cdot 4549^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.40115792695.1 | x10 - 2x9 + 6x8 - 6x7 + 9x6 - 7x5 + 9x4 - 6x3 + 6x2 - 2x + 1 | \( -\,5\cdot 11\cdot 113^{2}\cdot 239^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.40925637499.1 | x10 - 2x9 + 3x8 - 2x7 + x6 - x5 + x4 - 2x3 + 3x2 - 2x + 1 | \( -\,19\cdot 46411^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.41432389727.1 | x10 - x9 + 2x8 - 4x7 + 3x6 - x5 + 3x4 - 4x3 + 2x2 - x + 1 | \( -\,23\cdot 42443^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.41485819491.1 | x10 + 6x8 - 3x7 + 12x6 - 7x5 + 12x4 - 3x3 + 6x2 + 1 | \( -\,3^{5}\cdot 17\cdot 3169^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.41554926747.1 | x10 - x9 + 2x8 - 7x7 + 6x6 - 7x5 + 14x4 - 6x3 + 5x2 + x + 1 | \( -\,3^{9}\cdot 1453^{2} \) | $S_5\times C_2$ (as 10T22) | $[2]$ |
| 10.0.41824943723.1 | x10 - 3x9 + 4x8 + 2x6 - 20x5 + 55x4 - 62x3 + 27x2 - 4x + 1 | \( -\,31\cdot 197\cdot 2617^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.41984245539.1 | x10 - x9 - 4x8 + 9x7 + 3x6 - 12x5 + 18x4 - 8x3 + 2x2 + 1 | \( -\,3^{5}\cdot 137\cdot 1123^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.42555104784.1 | x10 - 3x9 + 12x7 - 8x6 - 16x5 + 12x4 + 9x3 - 5x2 - 2x + 1 | \( -\,2^{4}\cdot 3^{5}\cdot 10945243 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.42573587456.1 | x10 - 4x9 + 7x8 - 8x7 + 8x6 - 6x5 + 4x4 - 6x3 + 9x2 - 8x + 4 | \( -\,2^{10}\cdot 41575769 \) | $S_5^2 \wr C_2$ (as 10T43) | $[2]$ |
| 10.0.42917292635.1 | x10 - 3x9 + 8x8 - 19x7 + 38x6 - 56x5 + 82x4 - 101x3 + 86x2 - 70x + 35 | \( -\,5\cdot 7^{2}\cdot 23\cdot 41\cdot 431^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
| 10.0.43428021875.1 | x10 - 2x9 + 2x8 - 5x7 + 6x6 - 3x5 + 6x4 - 5x3 + 2x2 - 2x + 1 | \( -\,5^{5}\cdot 7\cdot 1409^{2} \) | $C_2 \wr S_5$ (as 10T39) | $[2]$ |
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