Group GAP4(80,19)

Name: (C2 x (C5 : C4)) : C2
Maximal quotients:GAP4(16,3) GAP4(40,7) GAP4(40,8)
Real polynomial:
x^80-480*x^78+108780*x^76-15501200*x^74+1560682310*x^72-118267111368*x^70+70\
16906393600*x^68-334779820360600*x^66+13091339203912585*x^64-425539497516062\
160*x^62+11621278155561462664*x^60-268825281217319524280*x^58+53004530621319\
05617430*x^56-89508376726354512104160*x^54+1299213479007353537142020*x^52-16\
251096514848675432121432*x^50+175472112524523515342826580*x^48-1637016398794\
915392172000680*x^46+13197672135459628329386090620*x^44-91900733010430728313\
808046080*x^42+552076387982893922636103704606*x^40-2855745988954310167013027\
918760*x^38+12686795797510393622635938935360*x^36-48243689090081799670707777\
234280*x^34+156378295788929073177121359522025*x^32-4298963902187585012182345\
85838240*x^30+996262935242305569104829418286200*x^28-19323513745050288135341\
87341107800*x^26+3110321093539697387565021430982150*x^24-4112884122209079819\
033518886474000*x^22+4414311366785278070032999655995100*x^20-378947851856471\
9559855722636641000*x^18+2554856221948418241337273320408625*x^16-13214194842\
61742859222316688469000*x^14+508134995099709865352691598735000*x^12-13900109\
8817599265542961216804000*x^10+25322856286838845266866376075000*x^8-27640165\
95505406355742333860000*x^6+151300601366232845961185180000*x^4-3338694058852\
713225970800000*x^2+24661864880736890854410000
Common denominator of the automorphisms:
4045346600647092480495987192584979802674320277620429599617936152168035348103\
4398830738237454310021782525004550200050028324445041328273344590454625899013\
6739686222940392036738024547085679008218289031871464219348258026418096472950\
84593429068038827758145379534799847014400000
Complex polynomial:
x^80+2475000*x^70+2205033980204*x^60-4808321306415000*x^50+19210044859692516\
06*x^40+774384954719442165000*x^30+57192902604184176598604*x^20-103386892193\
03736225000*x^10+672749994932560009201
Common denominator of the automorphisms:
2792884067607388789065432710867721328159948800

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.