Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Results (12 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
17.1.316...521.1 | $x^{17} + 4 x - 1$ | $3\cdot 11\cdot 23\cdot 71\cdot 2797\cdot 228733\cdot 7495121\cdot 1226420809$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.312...248.1 | $x^{17} + 6 x - 2$ | $2^{16}\cdot 4764431900236532907031070993$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.476...521.1 | $x^{17} + 7 x - 1$ | $3\cdot 149\cdot 2999\cdot 20147\cdot 25087\cdot 703721448833558213$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.274...729.1 | $x^{17} + 2 x - 7$ | $95071\cdot 55491923\cdot 5211016720401939622613$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.415...945.1 | $x^{17} + 8 x - 1$ | $5\cdot 7\cdot 16631\cdot 71361355933032887410783402717$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.415...640.1 | $x^{17} + 8 x - 2$ | $2^{16}\cdot 5\cdot 79\cdot 1604621015041404968695413587$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.307...681.1 | $x^{17} + 9 x - 1$ | $1181\cdot 47407\cdot 190338809\cdot 28868396700502785827$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.149...089.1 | $x^{17} - 8 x - 9$ | $317\cdot 3947\cdot 217557343\cdot 5478740912916202340977$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.152...345.1 | $x^{17} - 7 x - 9$ | $5\cdot 1163\cdot 1423\cdot 8419\cdot 811691\cdot 27032639906531808889$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.153...513.1 | $x^{17} - 4 x - 9$ | $222789181528271\cdot 6880462412396351244703$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.153...241.1 | $x^{17} - x - 9$ | $19\cdot 43\cdot 18\!\cdots\!73$ | $S_{17}$ (as 17T10) | $[2]$ |
17.1.153...201.1 | $x^{17} + 4 x - 9$ | $7\cdot 3167\cdot 69\!\cdots\!29$ | $S_{17}$ (as 17T10) | $[2]$ |