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Results (11 matches)

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Label Polynomial Discriminant Galois group Class group
17.17.160...921.1 x17 - x16 - 48x15 + 105x14 + 763x13 - 2579x12 - 3653x11 + 23311x10 - 11031x9 - 74838x8 + 107759x7 + 50288x6 - 198615x5 + 102976x4 + 58507x3 - 75722x2 + 25763x - 2837 \( 103^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.154...041.1 x17 - x16 - 64x15 + 43x14 + 1478x13 - 932x12 - 16008x11 + 12183x10 + 86347x9 - 84507x8 - 213223x7 + 271237x6 + 152800x5 - 314540x4 + 100605x3 + 20132x2 - 13981x + 1681 \( 137^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.113...161.1 x17 - x16 - 112x15 + 47x14 + 3976x13 - 4314x12 - 64388x11 + 136247x10 + 422013x9 - 1631073x8 + 411840x7 + 5840196x6 - 11894369x5 + 10635750x4 - 4739804x3 + 938485x2 - 54850x + 619 \( 239^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.236...361.1 x17 - 136x15 - 85x14 + 6154x13 + 6545x12 - 119680x11 - 168555x10 + 998835x9 + 1749300x8 - 2783546x7 - 6581040x6 - 678725x5 + 3813882x4 + 770593x3 - 616267x2 - 82620x + 577 \( 17^{32} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.622...001.1 x17 - x16 - 144x15 + 241x14 + 6894x13 - 14938x12 - 127923x11 + 323969x10 + 847982x9 - 2194186x8 - 2617873x7 + 6091397x6 + 3745755x5 - 7069429x4 - 1600190x3 + 3100257x2 - 220118x - 208777 \( 307^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.613...441.1 x17 - x16 - 192x15 + 273x14 + 14752x13 - 28028x12 - 571107x11 + 1411675x10 + 11275657x9 - 36814399x8 - 91832077x7 + 461179352x6 - 109192148x5 - 1929139488x4 + 3679722325x3 - 2767754010x2 + 828153361x - 45886883 \( 409^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.220...001.1 x17 - x16 - 208x15 - 17x14 + 15287x13 + 13881x12 - 487578x11 - 703261x10 + 6754359x9 + 10540902x8 - 41136753x7 - 57683825x6 + 92010954x5 + 95287840x4 - 17501435x3 - 25026156x2 - 563260x + 1246103 \( 443^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.397...041.1 x17 - x16 - 288x15 + 265x14 + 26034x13 - 40228x12 - 875968x11 + 2022008x10 + 8464009x9 - 27681440x8 - 8855367x7 + 101412811x6 - 87313302x5 - 38624139x4 + 67164168x3 - 7149746x2 - 7878215x - 664471 \( 613^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.942...921.1 x17 - x16 - 304x15 + 1117x14 + 25631x13 - 126439x12 - 773932x11 + 4360454x10 + 10731832x9 - 64676368x8 - 79260104x7 + 441919082x6 + 345306489x5 - 1259087517x4 - 718017711x3 + 1025767171x2 + 183044979x - 202031659 \( 647^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.258...281.1 x17 - x16 - 432x15 + 1911x14 + 56071x13 - 377127x12 - 2275999x11 + 22947072x10 - 5751373x9 - 395586237x8 + 1094097337x7 - 39485017x6 - 2920148551x5 + 2341974035x4 + 1284864535x3 - 1464500037x2 - 140787928x + 238840843 \( 919^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
17.17.462...121.1 x17 - x16 - 448x15 + 1309x14 + 75494x13 - 374314x12 - 5597667x11 + 41830550x10 + 136426018x9 - 1919481097x8 + 2548312782x7 + 27117309376x6 - 105628969954x5 + 34101907629x4 + 457076113374x3 - 817186035962x2 + 323264486326x + 117028501127 \( 953^{16} \) $C_{17}$ (as 17T1) trivial (GRH)
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