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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.20.4884274415246183319344904689389832005326536704.1 | x20 - 10x19 - 116x18 + 1313x17 + 4736x16 - 67464x15 - 71774x14 + 1744748x13 - 126850x12 - 24570618x11 + 14939336x10 + 193331394x9 - 163802315x8 - 826609978x7 + 787082462x6 + 1707884929x5 - 1813914636x4 - 1179787402x3 + 1644305872x2 - 315124556x - 58612856 | \( 2^{16}\cdot 17^{15}\cdot 53^{13} \) | $C_4:F_5$ (as 20T18) | $[2]$ (GRH) |
| 20.0.78148390643938933109518475030237312085224587264.1 | x20 - 4x19 + 96x18 + 122x17 + 4620x16 + 18596x15 + 184045x14 + 728624x13 + 6000753x12 + 13556428x11 + 139124895x10 + 136683460x9 + 2117576320x8 - 289614572x7 + 18977386826x6 - 37574492902x5 + 70623059201x4 - 324133328144x3 + 72454618799x2 - 66338130030x + 1082598671174 | \( 2^{20}\cdot 17^{15}\cdot 53^{13} \) | $C_4:F_5$ (as 20T18) | $[2, 2, 2, 6, 6, 5562]$ (GRH) |
| 20.20.258866544008047715925279948537661096282306445312.1 | x20 - 4x19 - 211x18 + 1138x17 + 12703x16 - 81202x15 - 279760x14 + 2366808x13 + 1504150x12 - 31913924x11 + 22954298x10 + 194714572x9 - 295344111x8 - 469380944x7 + 1107126565x6 + 182743098x5 - 1481772709x4 + 491417950x3 + 577682706x2 - 321816380x + 25224604 | \( 2^{16}\cdot 17^{15}\cdot 53^{14} \) | $C_4:F_5$ (as 20T18) | $[4]$ (GRH) |
| 20.0.4141864704128763454804479176602577540516903124992.1 | x20 - 4x19 + 177x18 - 4x17 + 8449x16 + 23822x15 + 168540x14 + 596526x13 + 2612317x12 + 7067238x11 + 38130743x10 + 75736410x9 + 321304814x8 + 864149074x7 + 1787066994x6 + 245640690x5 + 6843858589x4 - 4594563420x3 + 14977761454x2 - 24323038390x + 15554125329 | \( 2^{20}\cdot 17^{15}\cdot 53^{14} \) | $C_4:F_5$ (as 20T18) | $[2, 2, 6, 12, 22248]$ (GRH) |