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Label Polynomial Discriminant Galois group Class group
22.2.2754990144000000000000000000000000000000000000.1 x22 + 78x20 + 2355x18 + 30360x16 + 156915x14 + 293802x12 + 1279641x10 + 795000x8 - 582480x6 + 170360x4 + 14292x2 - 5184 \( 2^{42}\cdot 3^{16}\cdot 5^{36} \) 22T43 Trivial (GRH)
22.6.11019960576000000000000000000000000000000000000.1 x22 + 22x20 + 575x18 + 8000x16 + 66375x14 + 216150x12 + 77925x10 - 1702500x8 - 1800000x6 + 1125000x4 + 7312500x2 - 2250000 \( 2^{44}\cdot 3^{16}\cdot 5^{36} \) 22T43 Trivial (GRH)
22.6.24794911296000000000000000000000000000000000000.1 x22 - x21 - 21x20 + 80x19 + 190x18 - 2730x17 - 2370x16 + 23040x15 - 11685x14 - 139255x13 + 66637x12 + 883188x11 - 858962x10 - 5154490x9 + 11455530x8 - 94992x7 - 23559708x6 + 24631212x5 + 1602700x4 - 21497200x3 + 16049640x2 + 8247560x - 1432040 \( 2^{42}\cdot 3^{18}\cdot 5^{36} \) 22T43 Trivial (GRH)
22.10.210750763041141022987845301990873183151664528018075542264081718322671288099187925306758388876751268561732119068641101552222738530664734338197323950475428186387011150565189796236823101440000000000.1 x22 + 1521110995119x20 + 20767967363363151457665x18 - 125802676272554404269617160982350x16 - 447129861314250111523595651626294337559000x14 + 2211187005788657175999069028194179567572695016920000x12 + 495161089736201224478016513692993953268704949758149081450000x10 - 6532269446805556223473454007587119713902772265719196261716243847500000x8 + 880101110859184651857903730474356017770939048207067136486977359706942040000000x6 + 5695692754570027594526557200758139973678062841883039454997024866872864512936560150000000x4 - 593268499597857685637766137050940784311360565636847362570893397339081071862088416668321250000000x2 - 1495722903681177175207908834306985386050749026948136139791810294784018587329257867815333630665502500000000 \( 2^{72}\cdot 3^{22}\cdot 5^{10}\cdot 113^{10}\cdot 337^{8}\cdot 310501^{8}\cdot 11155561^{10} \) 22T43 n/a
22.14.26830213597708412349017401539020628303767583956076604194625199878276562431883058860650728011650318953900945540680338981382014874223474436016018325969989526051132498414439997937223230143956258052357750784.1 x22 - 13804431167056x20 + 29455972774636519059028044x18 + 282033335825689492595606193310007218368x16 - 1100067537115825097282039898823065852802526737569408x14 - 711369580334732818426577644309882828779774928375610743409128704x12 + 6224971581116867291176830299635009030608381084723679035467660012998285012992x10 - 3747833231991359307927309897387471198885933309684020485859542287332808873765923846934528x8 - 6274369569526916448536833950155270998368078365193513543624088680948481195760518524041106824138496768x6 + 5343558891203926971053678141516280096820104179732811762443202895791628733302502206317811912655111486804391018496x4 + 465315646285731804566448193725361044248288059478367061599274499469392698960388352711250887836367396465243767319244482010112x2 - 387525510081628637297743170535017129158275865687798305019045138474571366001139953640250564464680282754821621623700592281054857750134784 \( 2^{72}\cdot 3^{20}\cdot 337^{8}\cdot 947^{10}\cdot 310501^{8}\cdot 53591959^{10} \) 22T43 n/a
22.6.4659816508200478508412033889999092351551762621968614936542784442804549758984043866125318034750187275475080556854253986865982314800422915936162973675231354319646594465684660980065285087986232564698737841012736.1 x22 + 44093388187521x20 + 209644616157290336872450800x18 - 1918326833766516877145612304640202610000x16 - 14033625357672757890962248232195405624570831712000000x14 - 14327363001042340287658373126532762994707342768400250803200000000x12 + 73155017113516899879646403705978634052064727703137418176016931767440000000000x10 + 172961783005919316733286895245898258178180718110899199234964810104670395301160000000000000x8 + 29163452098994916756535843681511546182067427493883528300264411710594464387592978997173200000000000000x6 - 215482514009663496075841906438049192600636056827517073619648074832500266214861368952421191535957390000000000000000x4 - 198251395036319826765137880268363506213709892664773937814853717831634869375711794380750206495940054252200460000000000000000000x2 - 51673851153110341911101636537143872524838733712511652216813045532878318310449694003880719633962468700454539909239644900000000000000000000 \( 2^{70}\cdot 3^{22}\cdot 67^{10}\cdot 337^{8}\cdot 2851^{10}\cdot 310501^{8}\cdot 818717^{10} \) 22T43 n/a



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