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Results (displaying all 41 matches)

Label Polynomial Discriminant Galois group Class group
26.2.6244937422177169834030564821847469401.1 x26 - x - 1 \( 73\cdot 181\cdot 2385857\cdot 32375941061\cdot 6118709648547401 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.1201507202980564696903888106396747076468736.1 x26 - 4x + 4 \( -\,2^{26}\cdot 11\cdot 5351\cdot 322710411593\cdot 942553212724915163 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.5960464477539154233330193268616658399616009.1 x26 - 4x - 1 \( 29\cdot 10128571112394569\cdot 20292423834064993115883509 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.5960470633658642707157310796674288400203776.1 x26 - 2x - 1 \( 2^{27}\cdot 7417\cdot 22861\cdot 53970181\cdot 4852810050936915961 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.109243012396503865449214936618136513193967616.1 x26 - 4x - 4 \( 2^{26}\cdot 6733\cdot 11138847809333\cdot 21705255151207321321 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.200604631360390543398429873236273026387935232.1 x26 - 2x + 2 \( -\,2^{26}\cdot 471266581969\cdot 6342995795806711798279927 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.206565095749111763928417350002382492940669607.1 x26 - x + 2 \( -\,31\cdot 2143\cdot 2713\cdot 7727\cdot 758671\cdot 195505457062666900180454399 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.212525560315468668398429873236273026387935232.1 x26 - 2x - 2 \( 2^{26}\cdot 3\cdot 67\cdot 107\cdot 5867\cdot 10536636742939\cdot 2381953897662043 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.225763037443343983968209361295448843442312686849.1 x26 - 3x + 1 \( 17\cdot 47\cdot 457\cdot 58031\cdot 959677\cdot 10678056923\cdot 1039710637886321095943 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.225763037455656223128623675917042192019113094401.1 x26 - 3x - 1 \( 97\cdot 1027188157\cdot 761641463933293\cdot 2974955834015001526633 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.225969602545338033154314948479481790757100825857.1 x26 - 3x - 2 \( 22739663746473685987\cdot 9937244678052017295688440011 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.3305785123966891271739006552418919035749682642944.1 x26 - 4x + 1 \( 2^{26}\cdot 3\cdot 149\cdot 977\cdot 3541\cdot 12747387209041\cdot 2498880811540538989 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.4990246961229047120192449009721354684714164966143.1 x26 - 3x + 3 \( -\,3^{25}\cdot 37\cdot 193\cdot 397\cdot 3673\cdot 565614067938252407382930781 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.0.5216004038214069684678365528327600202444877856768.1 x26 - 2x + 3 \( -\,2^{27}\cdot 47\cdot 349\cdot 1395923\cdot 415496197\cdot 4084851144240798246517 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.5216009998678458405898895515804366311911430591143.1 x26 - x + 3 \( -\,59\cdot 71\cdot 33563\cdot 396349\cdot 15944389\cdot 1472102329\cdot 3987894255883125121 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.5216009998678636041582835540850834092978325122393.1 x26 - x - 3 \( 2083\cdot 1519447\cdot 1648024217388452125665771097137180469093 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.5441773036128047327289282046933845720175590747393.1 x26 - 3x - 3 \( 3^{25}\cdot 19\cdot 9619\cdot 306629767564201\cdot 114607019135083291 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.399999793434904162070394101570126763726973612064768.1 x26 - 4x + 2 \( 2^{51}\cdot 7\cdot 17\cdot 41\cdot 1889\cdot 639679\cdot 30130415360166750515609 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.400000206565095837929605898429873236273026387935232.1 x26 - 4x - 2 \( 2^{51}\cdot 3\cdot 11\cdot 73\cdot 1409\cdot 10429777\cdot 5017733838435325202707 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.405216009998678547223740865528327600202444877856768.1 x26 - 4x - 3 \( 2^{26}\cdot 67\cdot 373\cdot 241614544568768461952201497979035283557 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.1732793613976706876091650397068785799342044590637056.1 x26 - 2x + 4 \( -\,2^{24}\cdot 3\cdot 7\cdot 331\cdot 347\cdot 1627\cdot 49019\cdot 1249111\cdot 102017147\cdot 4213315416817943 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.1732793616956939114861181647068785799342044590637056.1 x26 - 2x - 4 \( 2^{24}\cdot 71593\cdot 343928521\cdot 4194577183575531075991971526697 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.6930948698829842481802115671756536951850447649657599.1 x26 - 3x + 4 \( -\,2063\cdot 73532749\cdot 551943907461461\cdot 82778530085158225548195457 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.0.6931174461867291893087822118262619963477644915282599.1 x26 - x + 4 \( -\,3\cdot 19\cdot 31\cdot 71\cdot 197\cdot 3701\cdot 5317453\cdot 31322273\cdot 135060203\cdot 3368544526633678033 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.2.6931174461867292070723506058287666431258711809813849.1 x26 - x - 4 \( 385720241\cdot 17969434126396524964121615951929435902376489 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.73386655124093395346715550870539255750179290771484375.1 x26 - 3x + 5 \( -\,5^{23}\cdot 61\cdot 331\cdot 449\cdot 63806909\cdot 3529639661\cdot 3015121007861 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.2.132343681998485749432201649865665728970327492866283857.1 x26 - 5x + 3 \( 2483561677\cdot 4048108812907452661\cdot 13163642696128058233262881 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.2.132348897801919332141495784832764183334256911356205393.1 x26 - 5x + 2 \( 257\cdot 68112155980159\cdot 7560709958859746994536436073044299311 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.132348898008484421823305810524036745773855649343936849.1 x26 - 5x + 1 \( 3\cdot 521\cdot 2833\cdot 4591297\cdot 17894485991227\cdot 363797878228018421962279049 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.132348898008484434135544970938351367367204226144344401.1 x26 - 5x - 1 \( 17\cdot 3761\cdot 2736736843085821\cdot 756371290213139834941092507237413 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.132348898215049523817354996629623929806802964132075857.1 x26 - 5x - 2 \( 3\cdot 19\cdot 41\cdot 443\cdot 1481\cdot 8314099\cdot 221768083\cdot 2040445848379\cdot 22943703711693769 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.132354114018483106526649131596722384170732382621997393.1 x26 - 5x - 3 \( 7\cdot 31\cdot 463\cdot 4201\cdot 553051\cdot 33033233903239\cdot 17164365913041862059163147 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.139280072470351719961331054819469199767898116106688849.1 x26 - 5x - 4 \( 37\cdot 3764326282982478917873812292418086480213462597478077 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.218557277985984084571935301212354895174503326416015625.1 x26 - 5x - 5 \( 5^{25}\cdot 521\cdot 84072447186047\cdot 16742632799164187347 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.0.458666650964852967172613314420000000000000000000000000.1 x26 - 2x + 5 \( -\,2^{26}\cdot 5^{25}\cdot 19\cdot 140814829\cdot 157759051\cdot 54333901421 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.0.1702317705856887905188566929448805943429470062255859375.1 x26 - 5x + 5 \( -\,5^{25}\cdot 41\cdot 1021\cdot 136452315290057444748745171428391 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.0.1834266603865372333167992320180000000000000000000000000.1 x26 - 4x + 5 \( -\,2^{26}\cdot 5^{25}\cdot 11\cdot 1171\cdot 15991\cdot 5334559\cdot 83465833964881 \) $S_{26}$ (as 26T96) $[2]$ (GRH)
26.0.1834666603865372333079174478209987476766109466552734375.1 x26 - x + 5 \( -\,5^{25}\cdot 29\cdot 149521\cdot 8876816030519\cdot 159937254664246481 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.1834666603865372333256810162150012523233890533447265625.1 x26 - x - 5 \( 3\cdot 5^{25}\cdot 83\cdot 24723371808060872735320070330430349 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.1834666603871332797645531382680000000000000000000000000.1 x26 - 2x - 5 \( 2^{27}\cdot 3\cdot 5^{25}\cdot 1487\cdot 168201361\cdot 61127331265232227 \) $S_{26}$ (as 26T96) Trivial (GRH)
26.2.1834666829628409782668095868596518606245517730712890625.1 x26 - 3x - 5 \( 5^{25}\cdot 7\cdot 4327\cdot 26052727\cdot 45748007\cdot 170528431679523581 \) $S_{26}$ (as 26T96) Trivial (GRH)


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