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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 3.1.9064.1 | x3 - x2 + 21x - 1 | \( -\,2^{3}\cdot 11\cdot 103 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.12244.1 | x3 - x2 + 16x + 54 | \( -\,2^{2}\cdot 3061 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.13368.1 | x3 - x2 + 24x - 12 | \( -\,2^{3}\cdot 3\cdot 557 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.13668.1 | x3 - x2 + 17x + 31 | \( -\,2^{2}\cdot 3\cdot 17\cdot 67 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.14532.1 | x3 - x2 - 8x + 96 | \( -\,2^{2}\cdot 3\cdot 7\cdot 173 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.14536.1 | x3 + 22x - 24 | \( -\,2^{3}\cdot 23\cdot 79 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.14664.1 | x3 - x2 + 13x + 39 | \( -\,2^{3}\cdot 3\cdot 13\cdot 47 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.15063.1 | x3 - x2 - 2x + 48 | \( -\,3\cdot 5021 \) | $S_3$ (as 3T2) | $[17]$ |
| 3.1.15364.1 | x3 - x2 + 25x - 1 | \( -\,2^{2}\cdot 23\cdot 167 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.15396.1 | x3 - x2 + 16x - 6 | \( -\,2^{2}\cdot 3\cdot 1283 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.16787.1 | x3 - x2 + 11x + 70 | \( -\,16787 \) | $S_3$ (as 3T2) | $[14]$ |
| 3.1.17988.1 | x3 + 21x - 68 | \( -\,2^{2}\cdot 3\cdot 1499 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.19919.4 | x3 - x2 + 6x - 56 | \( -\,19919 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.20276.2 | x3 - x2 + 36x - 18 | \( -\,2^{2}\cdot 37\cdot 137 \) | $S_3$ (as 3T2) | $[15]$ |
| 3.1.22164.1 | x3 - x2 - 4x - 56 | \( -\,2^{2}\cdot 3\cdot 1847 \) | $S_3$ (as 3T2) | $[16]$ |
| 3.1.22168.1 | x3 + 10x - 56 | \( -\,2^{3}\cdot 17\cdot 163 \) | $S_3$ (as 3T2) | $[17]$ |
| 3.1.22395.2 | x3 - x2 - 15x + 42 | \( -\,3\cdot 5\cdot 1493 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.22675.1 | x3 - x2 + 17x - 18 | \( -\,5^{2}\cdot 907 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.22836.1 | x3 + 18x - 172 | \( -\,2^{2}\cdot 3\cdot 11\cdot 173 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.22868.1 | x3 + 26x - 28 | \( -\,2^{2}\cdot 5717 \) | $S_3$ (as 3T2) | $[14]$ |
| 3.1.22883.1 | x3 + 14x - 21 | \( -\,7^{2}\cdot 467 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.23567.1 | x3 - x2 + 26x - 40 | \( -\,23567 \) | $S_3$ (as 3T2) | $[17]$ |
| 3.1.23683.4 | x3 + 10x - 27 | \( -\,11\cdot 2153 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.23991.1 | x3 - x2 + 28x + 96 | \( -\,3\cdot 11\cdot 727 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.24079.3 | x3 - x2 + 26x + 24 | \( -\,11^{2}\cdot 199 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.24596.1 | x3 + 17x - 54 | \( -\,2^{2}\cdot 11\cdot 13\cdot 43 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.25132.2 | x3 + 16x - 18 | \( -\,2^{2}\cdot 61\cdot 103 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.25191.1 | x3 + 33x - 98 | \( -\,3^{4}\cdot 311 \) | $S_3$ (as 3T2) | $[18]$ |
| 3.1.25467.1 | x3 + 30x - 67 | \( -\,3\cdot 13\cdot 653 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.26707.1 | x3 + 10x - 29 | \( -\,17\cdot 1571 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.26760.2 | x3 - x2 + 2x - 158 | \( -\,2^{3}\cdot 3\cdot 5\cdot 223 \) | $S_3$ (as 3T2) | $[15]$ |
| 3.1.27156.4 | x3 - x2 + 8x + 124 | \( -\,2^{2}\cdot 3\cdot 31\cdot 73 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.27192.1 | x3 - x2 - 19x - 65 | \( -\,2^{3}\cdot 3\cdot 11\cdot 103 \) | $S_3$ (as 3T2) | $[19]$ |
| 3.1.27355.1 | x3 - 8x - 33 | \( -\,5\cdot 5471 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.27640.2 | x3 - x2 + 29x + 15 | \( -\,2^{3}\cdot 5\cdot 691 \) | $S_3$ (as 3T2) | $[15]$ |
| 3.1.27992.1 | x3 - 13x - 162 | \( -\,2^{3}\cdot 3499 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.28279.3 | x3 - x2 + 18x - 64 | \( -\,28279 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.28520.1 | x3 - x2 + 25x - 53 | \( -\,2^{3}\cdot 5\cdot 23\cdot 31 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.29156.1 | x3 - x2 + 16x + 124 | \( -\,2^{2}\cdot 37\cdot 197 \) | $S_3$ (as 3T2) | $[11]$ |
| 3.1.29727.3 | x3 - 21x - 76 | \( -\,3^{4}\cdot 367 \) | $S_3$ (as 3T2) | $[15]$ |
| 3.1.29739.1 | x3 - x2 + 19x - 18 | \( -\,3\cdot 23\cdot 431 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.30459.1 | x3 - x2 - x + 34 | \( -\,3\cdot 11\cdot 13\cdot 71 \) | $S_3$ (as 3T2) | $[14]$ |
| 3.1.30772.1 | x3 - x2 + 5x - 69 | \( -\,2^{2}\cdot 7^{2}\cdot 157 \) | $S_3$ (as 3T2) | $[18]$ |
| 3.1.31115.1 | x3 - x2 + 19x - 20 | \( -\,5\cdot 7^{2}\cdot 127 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.31219.1 | x3 - x2 - 35x + 200 | \( -\,31219 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.31423.1 | x3 - x2 - 22x - 72 | \( -\,7\cdot 67^{2} \) | $S_3$ (as 3T2) | $[15]$ |
| 3.1.31755.1 | x3 - 18x - 107 | \( -\,3\cdot 5\cdot 29\cdot 73 \) | $S_3$ (as 3T2) | $[13]$ |
| 3.1.31908.3 | x3 - x2 + 20x - 14 | \( -\,2^{2}\cdot 3\cdot 2659 \) | $S_3$ (as 3T2) | $[12]$ |
| 3.1.32168.1 | x3 + 5x - 138 | \( -\,2^{3}\cdot 4021 \) | $S_3$ (as 3T2) | $[19]$ |
| 3.1.32251.1 | x3 - x2 - 19x + 54 | \( -\,32251 \) | $S_3$ (as 3T2) | $[13]$ |
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