## Results (18 matches)

Label Polynomial Discriminant Galois group Class group
22.0.753...875.1 x22 - 4x21 + 10x20 - 22x19 + 47x18 - 79x17 + 124x16 - 169x15 + 213x14 - 229x13 + 259x12 - 192x11 + 188x10 - 90x9 + 134x8 - 14x7 + 62x6 - 19x5 + 22x4 - 12x3 + 3x2 - x + 1 $$-\,5^{4}\cdot 7^{6}\cdot 83^{5}\cdot 127^{4}$$ 22T52 trivial (GRH)
22.0.492...744.1 x22 + 2x20 - 5x18 - 22x16 + 29x14 + 153x12 + 72x10 - 195x8 - 158x6 + 66x4 + 77x2 + 11 $$-\,2^{18}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4}$$ 22T52 trivial (GRH)
22.4.931...016.1 x22 - 4x21 + 5x20 + 4x19 - 26x18 + 31x17 + 15x16 - 79x15 + 76x14 + 60x13 - 153x12 + 84x11 + 83x10 - 192x9 + 24x8 + 58x7 - 150x6 + 30x5 + 19x4 - 23x3 + 6x2 + 29x + 1 $$-\,2^{12}\cdot 11^{7}\cdot 19^{4}\cdot 547^{4}$$ 22T52 trivial (GRH)
22.4.153...375.1 x22 - 2x21 + 7x20 - 20x19 + 38x18 - 74x17 + 107x16 - 167x15 + 185x14 - 284x13 + 308x12 - 417x11 + 466x10 - 462x9 + 446x8 - 292x7 + 170x6 - 55x5 - 7x4 + 11x3 - 8x2 + x + 1 $$-\,5^{4}\cdot 7^{4}\cdot 83^{5}\cdot 127^{4}\cdot 997$$ 22T52 trivial (GRH)
22.2.176...672.1 x22 - 5x21 + 17x20 - 40x19 + 70x18 - 93x17 + 99x16 - 86x15 + 53x14 + 37x13 - 283x12 + 778x11 - 1493x10 + 2198x9 - 2575x8 + 2425x7 - 1840x6 + 1108x5 - 512x4 + 173x3 - 33x2 + x + 1 $$2^{16}\cdot 37^{5}\cdot 4441^{4}$$ 22T52 trivial (GRH)
22.6.452...625.1 x22 - 3x21 - 5x20 + 20x19 + 6x18 - 46x17 - 22x16 + 88x15 + 102x14 - 250x13 - 116x12 + 460x11 - 50x10 - 559x9 + 321x8 + 395x7 - 287x6 - 315x5 + 200x4 + 136x3 + 14x2 - 70x + 5 $$5^{5}\cdot 7^{6}\cdot 83^{4}\cdot 127^{4}\cdot 997$$ 22T52 trivial (GRH)
22.2.315...616.1 x22 - 2x21 + x20 - x19 - 7x17 + 5x16 + 45x15 + 31x14 - 38x13 - 205x12 - 278x11 - 123x10 + 249x9 + 532x8 + 371x7 + 205x6 + 153x5 + 236x4 + 94x3 + 34x2 + 5x + 25 $$2^{24}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4}$$ 22T52 trivial (GRH)
22.6.315...616.1 x22 - 6x20 + 14x18 - 15x16 - 6x14 + 47x12 - 75x10 + 21x8 + 101x6 - 110x4 + 55x2 - 11 $$2^{24}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4}$$ 22T52 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)
22.4.666...496.1 x22 + 14x20 + 49x18 - 84x16 - 873x14 - 2112x12 - 2265x10 - 576x8 + 1248x6 + 1432x4 + 632x2 + 64 $$-\,2^{48}\cdot 3^{28}\cdot 7^{4}\cdot 23^{4}\cdot 137^{16}$$ 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)
22.4.287...640.1 x22 + 30x20 + 369x18 + 2328x16 + 6999x14 - 828x12 - 83625x10 - 301428x8 - 506304x6 - 378264x4 - 11592x2 + 99360 $$-\,2^{45}\cdot 3^{29}\cdot 5\cdot 7^{4}\cdot 23^{5}\cdot 137^{16}$$ 22T52 $[2, 2]$ (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)