Group GAP4(128,1165)

Name: (C2 x C2 x C2 x D8) : C2
Maximal quotients:GAP4(64,202) GAP4(64,211) GAP4(64,216) GAP4(64,226)
Real polynomial:
x^128-448*x^126+96480*x^124-13312704*x^122+1323599816*x^120-101103440288*x^1\
18+6177897873264*x^116-310472180111904*x^114+13093713800640900*x^112-4705280\
72996724512*x^110+14580056556101929424*x^108-393287515442369894304*x^106+930\
6614117424606767344*x^104-194431527175822686118208*x^102+3605251368342544188\
858400*x^100-59597603840103285138275520*x^98+881607534103244520103978538*x^9\
6-11707218170328242928995901728*x^94+139936809651547300692106486288*x^92-150\
9029749537388616507519759520*x^90+14708987371336086886497504509496*x^88-1298\
01960904573259493727739643104*x^86+1038401916798309127972751982067216*x^84-7\
538719475270315607989869046537696*x^82+49709464810184708503748114485584784*x\
^80-297891713063626673414223131824691072*x^78+162306799517030933671354633043\
5745728*x^76-8042149592113603239556314603100435328*x^74+36239571628496408254\
712573142338019448*x^72-148494338066565684127695433858116399776*x^70+5531159\
50309665459138014755797434364208*x^68-18719251059650060329457568431500862431\
04*x^66+5752218512256388409624132557150423214515*x^64-1603561815238030339256\
2165571161172307104*x^62+40512180944054985457303040657043883129936*x^60-9263\
9212365453666054093097713836314472480*x^58+191461680098341129031099842012267\
020230328*x^56-357040890959328103480022136162294433925728*x^54+5996117938049\
89363658261370222135304894672*x^52-90488397719706778800765334872042354408790\
4*x^50+1224103628571222727480683190895612174686352*x^48-14802820582883751466\
88843443512434584308864*x^46+1595232115915817114764303633519116954346048*x^4\
4-1526679575661408820682616300046739920241792*x^42+1292503003389161350770673\
026278220817839352*x^40-963821005747564283632746976224900170838048*x^38+6300\
16934705512952842856360526973302255344*x^36-35906958860085487160291436571314\
2452108448*x^34+177380642768718118038554762602841962848618*x^32-754568157347\
68872837202883417474021581920*x^30+27443110200316202814522233894510390801328\
*x^28-8466086540752220795946632399602890429152*x^26+219626198513080795364340\
6062783848963952*x^24-474563259709741617164483609816507136192*x^22+845095825\
97833186756967325334176377952*x^20-12254896481983696205140935266935338304*x^\
18+1427134410173819342175204525657929284*x^16-131265569888730462211323016028\
350944*x^14+9341913190836778448291440386289200*x^12-501027083859749871874718\
496205152*x^10+19548480273938659896595870449672*x^8-527989148891550429483424\
366944*x^6+9151418514607695857947206672*x^4-89081414025388446968758368*x^2+3\
56205476135609505465921
Common denominator of the automorphisms:
5899402304067000573219137447536682862944840359543214655389692840311048046496\
2379871754266953015924770825018175495996478772140370148313606554338942463859\
0334256396276328996439099289073599343769020534348418576525238216313341870420\
0526164868599162181024341511774404671515334018613592394000283762528060796385\
531999027200
Complex polynomial:
x^128-144*x^124+54036*x^120-4587840*x^116+999882630*x^112-67873072608*x^108+\
8758336560984*x^104-471900899072304*x^100+42251244935456097*x^96-15625937527\
04777040*x^92+92766930976840886208*x^88-3947411871401799650400*x^84+59920962\
694176080414934*x^80-4080870125896200934971888*x^76+858010168326598538316524\
28*x^72+3145477076707033467825685200*x^68+156224659747232533060705339044*x^6\
4+2337233189405913578339348066208*x^60+24345330908622877346952731264676*x^56\
+125937278369140627195695695781936*x^52+221286487387215426312021233311638*x^\
48+153764509614640945549785888931728*x^44+1835803898035118167629765365264736\
*x^40+380842860249347217408006281805600*x^36+1412633410233122461117974680527\
425*x^32+3370026638293504437266817173725824*x^28+109406632881662731231729056\
4081608*x^24-370304277821852402119478604491088*x^20+188997828693430947149425\
46868486*x^16+307815469408332288057371880960*x^12+23590506027580714573703808\
444*x^8+77143013393455369538966016*x^4+79766443076872509863361
Common denominator of the automorphisms:
1728195187183056154354148414435009112424128879461530825301721358145930118304\
4212305373214679426275513838546260731499790342039714433101569425196195915836\
0644312416479676725378807667046712366295743117426832897162677608950156756128\
041864738465317690017224542619652024203509332166066318810656840101888

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.