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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 3.1.283.1 | x3 + 4x - 1 | \( -\,283 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.331.1 | x3 - x2 + 3x - 4 | \( -\,331 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.491.1 | x3 - x2 + x + 4 | \( -\,491 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.563.1 | x3 - x2 + 5x - 4 | \( -\,563 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.588.1 | x3 - x2 + 5x + 1 | \( -\,2^{2}\cdot 3\cdot 7^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.643.1 | x3 - 2x - 5 | \( -\,643 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.648.1 | x3 - 3x - 10 | \( -\,2^{3}\cdot 3^{4} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.676.1 | x3 - x2 - 4x + 12 | \( -\,2^{2}\cdot 13^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.731.1 | x3 - x2 + 3x + 4 | \( -\,17\cdot 43 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.751.1 | x3 - x2 + 6x - 1 | \( -\,751 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.891.1 | x3 + 6x - 1 | \( -\,3^{4}\cdot 11 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.931.1 | x3 - x2 + 5x - 6 | \( -\,7^{2}\cdot 19 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.980.1 | x3 - x2 + 5x - 13 | \( -\,2^{2}\cdot 5\cdot 7^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1083.1 | x3 - x2 - 6x - 12 | \( -\,3\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1099.1 | x3 - x2 - x - 6 | \( -\,7\cdot 157 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1107.1 | x3 + 6x - 3 | \( -\,3^{3}\cdot 41 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1176.1 | x3 - x2 - 2x - 6 | \( -\,2^{3}\cdot 3\cdot 7^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1192.1 | x3 - x2 + 2x + 6 | \( -\,2^{3}\cdot 149 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1228.1 | x3 - x2 + x - 7 | \( -\,2^{2}\cdot 307 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1228.2 | x3 - x2 + 7x - 1 | \( -\,2^{2}\cdot 307 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1228.3 | x3 + 4x - 6 | \( -\,2^{2}\cdot 307 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1255.1 | x3 - x2 + 4x + 5 | \( -\,5\cdot 251 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1323.1 | x3 - 7 | \( -\,3^{3}\cdot 7^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1356.1 | x3 - x2 + x + 21 | \( -\,2^{2}\cdot 3\cdot 113 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1356.2 | x3 - x2 + 11x + 1 | \( -\,2^{2}\cdot 3\cdot 113 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1356.3 | x3 - x2 + 3x - 15 | \( -\,2^{2}\cdot 3\cdot 113 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1371.1 | x3 - x2 + 3x + 6 | \( -\,3\cdot 457 \) | $S_3$ (as 3T2) | $[4]$ |
| 3.1.1399.1 | x3 + 7x - 1 | \( -\,1399 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1423.1 | x3 - x2 + 6x - 7 | \( -\,1423 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1563.1 | x3 - x2 + 7x - 6 | \( -\,3\cdot 521 \) | $S_3$ (as 3T2) | $[5]$ |
| 3.1.1572.1 | x3 - x2 + x + 15 | \( -\,2^{2}\cdot 3\cdot 131 \) | $S_3$ (as 3T2) | $[5]$ |
| 3.1.1588.1 | x3 - 11x - 16 | \( -\,2^{2}\cdot 397 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1620.1 | x3 - 3x - 8 | \( -\,2^{2}\cdot 3^{4}\cdot 5 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1732.1 | x3 + x - 8 | \( -\,2^{2}\cdot 433 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1823.1 | x3 + 5x - 7 | \( -\,1823 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1836.1 | x3 - 6x - 10 | \( -\,2^{2}\cdot 3^{3}\cdot 17 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1836.2 | x3 + 6x - 6 | \( -\,2^{2}\cdot 3^{3}\cdot 17 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1879.1 | x3 - x2 - 2x - 16 | \( -\,1879 \) | $S_3$ (as 3T2) | $[4]$ |
| 3.1.1927.1 | x3 - x2 + 2x - 9 | \( -\,41\cdot 47 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1931.1 | x3 - 4x - 9 | \( -\,1931 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.3.1957.1 | x3 - x2 - 9x + 10 | \( 19\cdot 103 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.1960.1 | x3 - x2 + 5x + 15 | \( -\,2^{3}\cdot 5\cdot 7^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.1963.1 | x3 - x2 + 5x + 6 | \( -\,13\cdot 151 \) | $S_3$ (as 3T2) | $[4]$ |
| 3.1.1972.1 | x3 + 10x - 12 | \( -\,2^{2}\cdot 17\cdot 29 \) | $S_3$ (as 3T2) | $[5]$ |
| 3.1.1999.1 | x3 - x2 + 10x - 16 | \( -\,1999 \) | $S_3$ (as 3T2) | $[5]$ |
| 3.1.2028.1 | x3 - 26 | \( -\,2^{2}\cdot 3\cdot 13^{2} \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.2051.1 | x3 - x2 - 7x + 14 | \( -\,7\cdot 293 \) | $S_3$ (as 3T2) | $[2]$ |
| 3.1.2068.1 | x3 - x2 - 8x - 10 | \( -\,2^{2}\cdot 11\cdot 47 \) | $S_3$ (as 3T2) | $[4]$ |
| 3.1.2075.1 | x3 - 10x - 15 | \( -\,5^{2}\cdot 83 \) | $S_3$ (as 3T2) | $[3]$ |
| 3.1.2075.2 | x3 - x2 + 7x - 8 | \( -\,5^{2}\cdot 83 \) | $S_3$ (as 3T2) | $[3]$ |
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