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Label Polynomial Discriminant Galois group Class group
22.0.29327717405992286110481815659381862170624.1 x22 + 69x20 + 2070x18 + 35397x16 + 380052x14 + 2660364x12 + 12206376x10 + 35965215x8 + 64737387x6 + 64737387x4 + 29878794x2 + 4074381 \( -\,2^{22}\cdot 3^{11}\cdot 23^{21} \) $C_{22}$ (as 22T1) $[2, 56764]$ (GRH)
22.0.70739409751010214154180397092922226278051.1 x22 - x21 + 70x20 - 70x19 + 2140x18 - 2140x17 + 37537x16 - 37537x15 + 417589x14 - 417589x13 + 3077953x12 - 3077953x11 + 15284329x10 - 15284329x9 + 51249544x8 - 51249544x7 + 115986931x6 - 115986931x5 + 180724318x4 - 180724318x3 + 210603112x2 - 210603112x + 214677493 \( -\,13^{11}\cdot 23^{21} \) $C_{22}$ (as 22T1) $[138344]$ (GRH)
22.0.199915437101854222076001836684210081547019.1 x22 - 9x21 + 70x20 - 363x19 + 1845x18 - 7462x17 + 30023x16 - 100740x15 + 341082x14 - 977548x13 + 2866861x12 - 7075946x11 + 18221714x10 - 38558891x9 + 87678393x8 - 156007735x7 + 313286973x6 - 448933295x5 + 793158991x4 - 832219241x3 + 1285528692x2 - 758821285x + 1019110541 \( -\,19^{11}\cdot 23^{20} \) $C_{22}$ (as 22T1) $[408991]$ (GRH)
22.0.351468714257323283030813737164800000000000.1 x22 - 2x21 + 36x20 - 62x19 + 779x18 - 1208x17 + 11785x16 - 16330x15 + 135402x14 - 166994x13 + 1216660x12 - 1317110x11 + 8641614x10 - 8043038x9 + 48218481x8 - 37307012x7 + 206484136x6 - 125495212x5 + 645715650x4 - 276536200x3 + 1328901156x2 - 304156912x + 1368706081 \( -\,2^{22}\cdot 5^{11}\cdot 23^{20} \) $C_{22}$ (as 22T1) $[374638]$ (GRH)
22.0.1352766038082488977799200071554388212492359.1 x22 - x21 + 93x20 - 93x19 + 3773x18 - 3773x17 + 87677x16 - 87677x15 + 1288829x14 - 1288829x13 + 12499581x12 - 12499581x11 + 81083005x10 - 81083005x9 + 350517885x8 - 350517885x7 + 997161597x6 - 997161597x5 + 1859353213x4 - 1859353213x3 + 2389932669x2 - 2389932669x + 2486401661 \( -\,17^{11}\cdot 23^{21} \) $C_{22}$ (as 22T1) $[23, 28658]$ (GRH)
22.0.2611441967281400084968119933496263205453824.1 x22 - 2x21 + 47x20 - 82x19 + 1234x18 - 1928x17 + 22201x16 - 30962x15 + 297640x14 - 368132x13 + 3078660x12 - 3330816x11 + 24869896x10 - 23035280x9 + 156123875x8 - 119632870x7 + 744424991x6 - 445564762x5 + 2565595585x4 - 1074775766x3 + 5757368622x2 - 1278298632x + 6391493137 \( -\,2^{33}\cdot 3^{11}\cdot 23^{20} \) $C_{22}$ (as 22T1) $[495926]$ (GRH)
22.0.15276808087908918292827902441684650462019584.1 x22 + 39x20 + 676x18 + 6870x16 + 45451x14 + 205365x12 + 645976x10 + 1412533x8 + 2100082x6 + 2015893x4 + 1119360x2 + 270379 \( -\,2^{22}\cdot 1297^{10}\cdot 270379 \) 22T32 $[273030]$ (GRH)
22.0.17679589149849433862901019729769455293562880.1 x22 + 50x20 + 1121x18 + 14874x16 + 129757x14 + 781318x12 + 3312823x10 + 9888269x8 + 20354408x6 + 27504549x4 + 21943196x2 + 7822625 \( -\,2^{22}\cdot 5\cdot 1297^{10}\cdot 62581 \) 22T32 $[2, 144216]$ (GRH)
22.0.4078120343870794568028632139836020814044463104.1 x22 + 81x20 + 2602x18 + 43459x16 + 416416x14 + 2360004x12 + 7761381x10 + 13598526x8 + 9845506x6 + 250429x4 + 1687x2 + 1 \( -\,2^{22}\cdot 89^{20} \) $C_{22}$ (as 22T1) $[117139]$ (GRH)
22.0.4129233136056857981979443884256982828952059904.1 x22 + 53x20 + 963x18 + 8057x16 + 34825x14 + 83894x12 + 119260x10 + 102849x8 + 53662x6 + 16302x4 + 2614x2 + 169 \( -\,2^{22}\cdot 74843^{8} \) 22T42 $[193648]$ (GRH)
22.0.4129233136056857981979443884256982828952059904.2 x22 + 53x20 + 1109x18 + 11954x16 + 72629x14 + 254808x12 + 505403x10 + 527803x8 + 253819x6 + 49582x4 + 3337x2 + 9 \( -\,2^{22}\cdot 74843^{8} \) 22T42 $[110224]$ (GRH)
22.0.6570138038458798225574551839115963943843569543.1 x22 - 9x21 - 3x20 + 159x19 + 231x18 - 2061x17 - 3685x16 + 10860x15 + 43511x14 - 4617x13 - 151828x12 - 220921x11 + 178157x10 + 730124x9 + 3092873x8 + 8707748x7 + 20867753x6 + 33250364x5 + 51453681x4 + 60447125x3 + 73795185x2 + 59497518x + 50167427 \( -\,7^{11}\cdot 67^{20} \) $C_{22}$ (as 22T1) $[420607]$ (GRH)
22.0.10870284342485680666407125885565079749365234375.1 x22 - x21 + 69x20 + 107x19 + 1709x18 + 7027x17 + 28072x16 + 135984x15 + 407666x14 + 1343170x13 + 3834110x12 + 8660900x11 + 19147508x10 + 34080648x9 + 46733335x8 + 54976444x7 + 45275429x6 - 4039339x5 - 25724027x4 + 4152387x3 + 42185124x2 + 41416437x + 48482809 \( -\,5^{11}\cdot 67^{21} \) $C_{22}$ (as 22T1) $[306522]$ (GRH)
22.0.28542099180404529250131657131852910655063457792.1 x22 - 2x21 - 37x20 + 146x19 + 494x18 - 3636x17 + 2299x16 + 29626x15 - 64260x14 - 124424x13 + 736428x12 - 1124536x11 + 59133x10 + 1514350x9 + 3820816x8 - 32528018x7 + 109540538x6 - 244699026x5 + 410278465x4 - 525754586x3 + 533811683x2 - 395494894x + 210368707 \( -\,2^{33}\cdot 67^{20} \) $C_{22}$ (as 22T1) $[232331]$ (GRH)
22.0.49578900792465893723757591814073637013494431744.1 x22 + 33x20 + 473x18 + 3861x16 + 19778x14 + 66066x12 + 144914x10 + 205194x8 + 179773x6 + 90189x4 + 22517x2 + 1961 \( -\,2^{40}\cdot 7^{10}\cdot 11^{22}\cdot 37\cdot 53 \) 22T37 $[2, 246012]$ (GRH)
22.0.362952710604500716554548260445405852449957216256.1 x22 + 89x20 + 3026x18 + 51531x16 + 489500x14 + 2690648x12 + 8475025x10 + 14647086x8 + 13328106x6 + 6239345x4 + 1413231x2 + 121841 \( -\,2^{22}\cdot 89^{21} \) $C_{22}$ (as 22T1) $[230484]$ (GRH)
22.0.528715444350941988071779851300000000000000000000.1 x22 + 102x20 + 4485x18 + 111390x16 + 1718400x14 + 17034174x12 + 108257478x10 + 425426925x8 + 949776795x6 + 1000048665x4 + 295274364x2 + 24920313 \( -\,2^{20}\cdot 3^{21}\cdot 5^{20}\cdot 11^{17} \) 22T36 $[2, 2, 27662]$ (GRH)
22.0.894923364032259692352641685868501220854496476917943.1 x22 - 11x21 - 33x20 + 649x19 + 77x18 - 16599x17 + 18073x16 + 222574x15 - 351846x14 - 1913648x13 + 3638591x12 + 10421760x11 - 18077708x10 - 52267061x9 + 88950411x8 + 112398451x7 - 87574498x6 - 406562805x5 + 515905885x4 - 341803154x3 + 860884596x2 - 1268438105x + 5519069021 \( -\,7^{11}\cdot 11^{40} \) $C_{22}$ (as 22T1) $[173041]$ (GRH)
22.0.42765144951456754503592723360164151789017189226381312.1 x22 + 220x20 + 18876x18 + 825704x16 + 20058896x14 + 275949696x12 + 2128407424x10 + 9128116096x8 + 20992435200x6 + 23394438144x4 + 9845535744x2 + 1330255872 \( -\,2^{33}\cdot 11^{41} \) $C_{22}$ (as 22T1) $[914894]$ (GRH)
22.0.44146235673740062627077157283789263729923191836638934347.1 x22 - x21 + 151x20 - 654x19 + 16325x18 - 75763x17 + 995289x16 - 5403558x15 + 44834779x14 - 205415593x13 + 1133460253x12 - 4321709316x11 + 18785461384x10 - 60845873872x9 + 203712968048x8 - 530942481728x7 + 1408047471744x6 - 3019035195648x5 + 6127699221760x4 - 9253854241792x3 + 11744248303616x2 - 9185162559488x + 5233186963456 \( -\,3^{11}\cdot 331^{20} \) $C_{22}$ (as 22T1) $[11, 23969]$ (GRH)


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