Learn more about

Refine search


Results (4 matches)

  Download to        
Label Polynomial Discriminant Galois group Class group
37.37.171...601.1 x37 - x36 - 72x35 + 67x34 + 2278x33 - 1964x32 - 41849x31 + 33262x30 + 497142x29 - 362207x28 - 4027127x27 + 2672215x26 + 22871279x25 - 13719683x24 - 92273266x23 + 49606380x22 + 265291071x21 - 126402144x20 - 540999671x19 + 224635365x18 + 773506030x17 - 271832880x16 - 761221384x15 + 214848879x14 + 502240682x13 - 103923082x12 - 213804070x11 + 27920639x10 + 55105551x9 - 3603129x8 - 7708785x7 + 235974x6 + 497852x5 - 22640x4 - 12819x3 + 1020x2 + 28x - 1 \( 149^{36} \) $C_{37}$ (as 37T1) trivial (GRH)
37.37.345...561.1 x37 - x36 - 108x35 + 245x34 + 4913x33 - 17429x32 - 115073x31 + 605121x30 + 1258904x29 - 11895493x28 + 1401577x27 + 136786740x26 - 218698801x25 - 851925353x24 + 2810760540x23 + 1559768964x22 - 17408647490x21 + 14765496491x20 + 52555917850x19 - 112901823056x18 - 30825357400x17 + 320568348295x16 - 255996383256x15 - 343575615312x14 + 697695088122x13 - 135330997139x12 - 635742178755x11 + 559084397332x10 + 98854779029x9 - 379266961937x8 + 152281955055x7 + 65816775545x6 - 70480276872x5 + 12914339542x4 + 6483753572x3 - 3469705332x2 + 579396241x - 30247313 \( 223^{36} \) $C_{37}$ (as 37T1) trivial (GRH)
37.37.676...801.1 x37 - x36 - 288x35 + 203x34 + 35910x33 - 17336x32 - 2554843x31 + 842615x30 + 115283443x29 - 27504461x28 - 3475263507x27 + 687931612x26 + 71915662407x25 - 13974595438x24 - 1034496050617x23 + 221330910643x22 + 10365088714029x21 - 2534502436630x20 - 71813314605418x19 + 19740632343658x18 + 338381715805464x17 - 99305962871851x16 - 1055972317034939x15 + 302779333586209x14 + 2104618406390649x13 - 505910437546894x12 - 2560928454934750x11 + 376597618487442x10 + 1787314591059035x9 - 20429122626927x8 - 643936928000107x7 - 89391122404607x6 + 89662863870162x5 + 25891375086732x4 + 1113091773432x3 - 112807611860x2 - 8478121776x - 123515969 \( 593^{36} \) $C_{37}$ (as 37T1) n/a
37.37.813...681.1 x37 - 666x35 - 481x34 + 193399x33 + 256521x32 - 32436827x31 - 60004084x30 + 3503452596x29 + 8113398850x28 - 257000630926x27 - 704292185114x26 + 13150853376643x25 + 41268101524916x24 - 474337598223255x23 - 1672482254287228x22 + 12032466243732809x21 + 47286637172470867x20 - 211502629431882231x19 - 929675982328753625x18 + 2498958523266151636x17 + 12536142236443615902x16 - 18791897342800992970x15 - 113239929214497210129x14 + 80927529107744817385x13 + 663966210336111429023x12 - 146546651897009713442x11 - 2439258160361411529393x10 - 154326326264692800324x9 + 5386184266991634344483x8 + 1055793633392402952768x7 - 6769150214799915444440x6 - 1552196159553019851407x5 + 4355671676506075568364x4 + 921754431147330625307x3 - 1108584774969076393499x2 - 217498966742521653325x + 51140551819476687829 \( 37^{72} \) $C_{37}$ (as 37T1) n/a
  Download to