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Results (displaying all 21 matches)

Label Polynomial Discriminant Galois group Class group
22.0.13746825269346230984571837869981696.1 x22 + 11x18 - 132x16 + 165x14 + 187x12 - 88x10 + 121x8 + 44x6 + 11 \( -\,2^{20}\cdot 11^{27} \) 22T35 $[2]$ (GRH)
22.0.13746825269346230984571837869981696.2 x22 + 11x16 + 33x14 + 121x12 + 275x10 + 286x8 + 154x6 + 121x4 + 121x2 + 44 \( -\,2^{20}\cdot 11^{27} \) 22T35 $[2]$ (GRH)
22.10.1856564799974488125951035818931423019008.1 x22 - 11x21 + 44x20 - 11x19 - 572x18 + 2057x17 - 1199x16 - 10714x15 + 29843x14 - 10395x13 - 81246x12 + 129491x11 + 33000x10 - 193941x9 - 23001x8 + 208758x7 - 19723x6 - 296241x5 + 63338x4 + 196317x3 + 17182x2 + 1155x - 63 \( 2^{20}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.14.29705036799591810015216573102902768304128.1 x22 - 33x20 - 44x19 + 385x18 + 990x17 - 1815x16 - 7436x15 + 902x14 + 23584x13 + 14058x12 - 48740x11 - 23034x10 + 158444x9 + 133782x8 - 268796x7 - 608399x6 - 263560x5 + 354255x4 + 374352x3 + 107129x2 + 9086x - 63 \( 2^{24}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.118820147198367240060866292411611073216512.1 x22 - 11x20 - 165x18 + 803x16 + 5874x14 - 18722x12 - 80146x10 + 172370x8 + 448525x6 - 530387x4 - 836825x2 - 27797 \( 2^{26}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.14.118820147198367240060866292411611073216512.1 x22 - 44x20 - 88x19 + 308x18 + 1188x17 + 616x16 - 8052x15 - 12188x14 + 41448x13 + 24640x12 - 126200x11 + 70840x10 + 100672x9 - 139040x8 + 236368x7 - 144144x6 - 281600x5 + 293568x4 - 36608x3 - 25344x2 + 5984x - 160 \( 2^{26}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.118820147198367240060866292411611073216512.2 x22 + 11x20 - 22x19 - 143x18 - 682x17 - 2563x16 + 396x15 + 17490x14 + 77352x13 + 194766x12 + 246656x11 - 220990x10 - 2045912x9 - 6045534x8 - 12294788x7 - 18335339x6 - 20263760x5 - 15664121x4 - 7715994x3 - 2197811x2 - 317966x - 17727 \( 2^{26}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.475280588793468960243465169646444292866048.1 x22 - 22x20 + 110x18 - 198x17 - 1232x16 + 880x15 + 6072x14 + 17732x13 + 40128x12 - 32728x11 - 351384x10 - 402776x9 + 530464x8 + 1234640x7 + 593560x6 - 1300112x5 - 1035144x4 + 2519792x3 - 1050016x2 - 2919664x + 1889288 \( 2^{28}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.14.475280588793468960243465169646444292866048.1 x22 - 11x20 - 44x19 - 231x18 + 176x17 + 2981x16 + 6996x15 + 9812x14 - 22990x13 - 153714x12 - 146644x11 + 441386x10 + 840818x9 - 432300x8 - 1836406x7 - 559647x6 + 1382480x5 + 980903x4 - 102718x3 - 185581x2 - 11440x + 7375 \( 2^{28}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.475280588793468960243465169646444292866048.2 x22 - 11x20 - 33x18 + 495x16 + 506x14 - 6446x12 - 6226x10 + 13486x8 + 7029x6 - 1815x4 - 957x2 - 77 \( 2^{28}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.1901122355173875840973860678585777171464192.1 x22 - 66x19 - 22x18 + 616x17 + 462x16 - 1936x15 - 10186x14 + 13552x13 + 29414x12 + 50860x11 - 211508x10 - 177628x9 + 473968x8 + 332552x7 - 513304x6 - 274868x5 + 468996x4 - 200816x3 - 315568x2 + 213664x + 42508 \( 2^{30}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.14.1901122355173875840973860678585777171464192.1 x22 - 22x20 + 198x18 - 88x17 - 1540x16 + 660x15 + 8668x14 - 6248x13 - 37796x12 + 57096x11 + 170544x10 - 284240x9 - 564696x8 + 756096x7 + 909920x6 - 985072x5 - 519024x4 + 459536x3 + 92048x2 - 62656x + 3760 \( 2^{30}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.1901122355173875840973860678585777171464192.2 x22 + 11x20 + 143x18 - 44x17 - 1067x16 + 792x15 - 11550x14 + 11660x13 - 57376x12 + 147484x11 + 215754x10 - 1960464x9 + 4921708x8 + 200112x7 - 15334407x6 + 13689368x5 + 4954521x4 - 8447692x3 + 1538603x2 + 156376x - 37649 \( 2^{30}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.14.1901122355173875840973860678585777171464192.2 x22 - 11x20 - 473x18 + 2695x16 + 17138x14 - 146894x12 + 240350x10 + 445082x8 - 1693967x6 + 1600489x4 - 444785x2 - 27797 \( 2^{30}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.14.1901122355173875840973860678585777171464192.3 x22 - 176x18 + 132x16 + 6468x14 - 8316x12 - 68156x10 + 79992x8 + 220440x6 - 174240x4 + 39820x2 - 2772 \( 2^{30}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.18.17830448338954983961633748005017386674552832.1 x22 - 88x20 - 198x19 + 2024x18 + 6270x17 - 19580x16 - 78364x15 + 78408x14 + 496276x13 + 7304x12 - 1707542x11 - 1055472x10 + 3197810x9 + 3138322x8 - 3066712x7 - 3678862x6 + 1424742x5 + 1891010x4 - 280808x3 - 376200x2 + 13574x + 18010 \( 2^{22}\cdot 7^{15}\cdot 11^{23} \) 22T35 Trivial (GRH)
22.18.30417957682782013455581770857372434743427072.1 x22 - 44x20 + 660x18 - 1408x17 - 7304x16 + 46200x15 + 166496x14 - 350240x13 - 2140512x12 - 1464576x11 + 7791168x10 + 16937536x9 + 2342208x8 - 31841920x7 - 40416640x6 - 4983616x5 + 31308288x4 + 32414976x3 + 14386944x2 + 2818816x + 144512 \( 2^{34}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.2.486687322924512215289308333717958955894833152.1 x22 + 55x20 + 1133x18 + 9185x16 - 18172x14 - 910360x12 - 7010124x10 - 24410188x8 - 38170561x6 - 19759179x4 - 3968789x2 - 268037 \( 2^{38}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2, 4]$ (GRH)
22.22.7786997166792195444628933339487343294317330432.1 x22 - 66x20 + 1672x18 - 21120x16 + 146080x14 - 576400x12 + 1333376x10 - 1813504x8 + 1403776x6 - 564960x4 + 96448x2 - 4928 \( 2^{42}\cdot 7^{11}\cdot 11^{23} \) 22T35 $[2]$ (GRH)
22.10.4674145049367015315638517237027277812413977591808.1 x22 - 33x20 - 231x18 + 8547x16 + 28028x14 - 734118x12 - 2309076x10 + 20034630x8 + 81161003x6 + 70596603x4 - 8319465x2 - 184877 \( 2^{40}\cdot 7^{15}\cdot 11^{23} \) 22T35 Trivial (GRH)
22.22.28122027152338449528280551028208841939494268567552.1 x22 - 110x20 + 4312x18 - 75570x16 + 621984x14 - 2701050x12 + 6620625x10 - 9309762x8 + 7191756x6 - 2622928x4 + 272987x2 - 7942 \( 2^{53}\cdot 3^{20}\cdot 11^{23} \) 22T35 Trivial (GRH)


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