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Results (12 matches)

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Label Polynomial Discriminant Galois group Class group
22.0.119...368.1 x22 - 3x21 + 45x20 - 12x19 + 1263x18 - 891x17 + 11013x16 + 12294x15 + 42993x14 + 18555x13 + 42921x12 + 71280x11 + 36558x10 + 25902x9 + 32238x8 + 31986x7 + 15876x6 + 6156x5 + 13644x4 + 11880x3 + 972x2 + 1944x + 2916 \( -\,2^{24}\cdot 3^{29}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T46 trivial (GRH)
22.10.254...184.1 x22 - 4x21 - 92x20 + 978x19 - 23031x18 + 208542x17 + 3327324x16 - 36397800x15 - 19963545x14 - 406653528x13 - 16539946488x12 + 256034067942x11 + 682357346031x10 - 13494358927986x9 + 9822827363220x8 + 261815058820176x7 - 813912422758992x6 - 647257611403968x5 + 8751031478070272x4 - 24165278101734848x3 + 30990808995877088x2 - 13115399746724928x - 2634468582334464 \( 2^{30}\cdot 3^{28}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T49 trivial (GRH)
22.14.305...208.1 x22 - 6x21 - 96x20 + 516x19 + 3315x18 - 15678x17 - 58926x16 + 239076x15 + 605475x14 - 2137974x13 - 3792132x12 + 12206088x11 + 14763681x10 - 46019430x9 - 34917642x8 + 112918896x7 + 44592120x6 - 169280496x5 - 19547856x4 + 127652544x3 + 2781648x2 - 33869664x - 3859488 \( 2^{32}\cdot 3^{29}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T46 trivial (GRH)
22.6.624...984.1 x22 + 3x20 - 36x18 - 60x16 + 213x14 + 9x12 - 114x10 + 180x8 - 108x6 - 6x4 + 36x2 - 54 \( 2^{43}\cdot 3^{29}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T52 trivial (GRH)
22.8.249...936.1 x22 - 3x20 - 36x18 + 60x16 + 213x14 - 9x12 - 114x10 - 180x8 - 108x6 + 6x4 + 36x2 + 54 \( -\,2^{45}\cdot 3^{29}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T52 trivial (GRH)
22.8.333...480.1 x22 - 8x20 - 11x18 + 234x16 - 633x14 + 30x12 + 2835x10 - 5934x8 + 5448x6 - 2104x4 + 8x2 + 80 \( -\,2^{48}\cdot 3^{28}\cdot 5\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T52 trivial (GRH)
22.12.257...080.1 x22 - 25x20 + 244x18 - 1152x16 + 2229x14 + 3057x12 - 27810x10 + 70572x8 - 95244x6 + 70846x4 - 25252x2 + 2470 \( -\,2^{43}\cdot 3^{28}\cdot 5\cdot 7^{4}\cdot 13\cdot 19\cdot 23^{4}\cdot 137^{16} \) 22T52 trivial (GRH)
22.12.149...600.1 x22 - 36x20 + 549x18 - 4638x16 + 23559x14 - 71010x12 + 102675x10 + 60498x8 - 550584x6 + 1014936x4 - 865080x2 + 291600 \( -\,2^{48}\cdot 3^{30}\cdot 5^{2}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16} \) 22T52 trivial (GRH)
22.0.233...016.1 x22 + 58x20 + 1489x18 + 22320x16 + 216663x14 + 1424964x12 + 6438231x10 + 19757580x8 + 39484992x6 + 46601624x4 + 25144376x2 + 898976 \( -\,2^{45}\cdot 3^{28}\cdot 7^{4}\cdot 13\cdot 23^{4}\cdot 137^{16}\cdot 2161 \) 22T52 n/a
22.14.935...064.1 x22 - 58x20 + 1489x18 - 22320x16 + 216663x14 - 1424964x12 + 6438231x10 - 19757580x8 + 39484992x6 - 46601624x4 + 25144376x2 - 898976 \( 2^{47}\cdot 3^{28}\cdot 7^{4}\cdot 13\cdot 23^{4}\cdot 137^{16}\cdot 2161 \) 22T52 trivial (GRH)
22.14.126...600.1 x22 - 74x20 + 2449x18 - 47772x16 + 608919x14 - 5307720x12 + 32127975x10 - 134044248x8 + 373194336x6 - 645946216x4 + 597000440x2 - 195030400 \( 2^{45}\cdot 3^{28}\cdot 5^{2}\cdot 7^{4}\cdot 23^{4}\cdot 59\cdot 137^{16}\cdot 1033 \) 22T52 trivial (GRH)
22.14.127...344.1 x22 - 242454x20 - 66254755944x18 + 9988149125214624x16 + 2412251307077297217168x14 - 97126283753436220637656848x12 - 36043439335840553783024429840880x10 - 968324930877205693808500678923025440x8 + 411693823788000055227773052463075223008512x6 - 14674638475171337576102371060253129696887988224x4 + 164949721485379801300637463025582558350584505753600x2 - 571411117069770362003780702945732790998630818613760000 \( 2^{44}\cdot 3^{28}\cdot 7^{4}\cdot 13^{10}\cdot 23^{4}\cdot 137^{16}\cdot 2161^{10} \) 22T49 n/a
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