Group GAP4(128,1880)

Name: C2 x ((C2 x D16) : C2)
Maximal quotients:GAP4(64,177) GAP4(64,211) GAP4(64,254)
Real polynomial:
x^128-608*x^126+175864*x^124-32271696*x^122+4227012188*x^120-421562410288*x^\
118+33345258062552*x^116-2151591947369808*x^114+115596977727469734*x^112-525\
2458225708238512*x^110+204319639273220181560*x^108-6871290342233196821296*x^\
106+201378813526234462173244*x^104-5177304316269611150030608*x^102+117409834\
749451080216428264*x^100-2359581035394858285003419504*x^98+42189549911229468\
163368648161*x^96-673391261927248564765516331056*x^94+9621848072511386568962\
555418896*x^92-123375082037939747674728644518080*x^90+1422530715595788061819\
341023928096*x^88-14774241048279937435185807072870016*x^86+13841205688730876\
2251096519310946432*x^84-1171028272447715738668080100951965184*x^82+89552544\
37389527385078523507620688960*x^80-61943817237507497123881950071362613248*x^\
78+387726317584476771359080121048771041280*x^76-2196680744186076265505364258\
157444962304*x^74+11265276568850858809698671577881116721664*x^72-52285610050\
524046349963190494523372429312*x^70+2195501156155661704243626351132301435904\
00*x^68-833595001348922181419013412714681186238464*x^66+28596754330485793778\
42423952861767426332160*x^64-8855192054803869419586624409316011265957888*x^6\
2+24722027670629432892646902107229374917173248*x^60-621386919255986125288440\
26674637674082074624*x^58+140383450892072233684328964882580713080627200*x^56\
-284524933505172236118957131722828350171578368*x^54+516219349565806981456317\
972007285049656279040*x^52-836359277490405849856599662127631839513935872*x^5\
0+1206697290987408471758164478452971594425352192*x^48-1545643927300918509501\
094995239387673945440256*x^46+1751577720422088423117091771754183836246999040\
*x^44-1749409599411380402226322906907811747165896704*x^42+153335281923915335\
6743301105845411868496232448*x^40-117387009656575666770262983973503322400332\
1856*x^38+780784717138500977842527413668621658687537152*x^36-448556485727570\
105764242281922297137529356288*x^34+2211126182151469753437473112074397490663\
26016*x^32-92832251158198122246296302181498077540515840*x^30+329174511598000\
92029924772060070958060273664*x^28-97641622891343138882620209339829867197235\
20*x^26+2396283357732448923924856807321404904046592*x^24-4803751945785737967\
32778840256564363788288*x^22+77494586629962271704216195896559557148672*x^20-\
9885712777793608538103626361177441828864*x^18+977108710361732194901541497818\
935459840*x^16-73114750965422335424720088353092927488*x^14+40387078368714067\
42432662128003383296*x^12-160501532433533297782898334596333568*x^10+44703328\
81973051088045510475382784*x^8-84440612392066230648726437756928*x^6+10254981\
41594055651933542154240*x^4-7204389865945933159914799104*x^2+222179348354560\
54023684096
Common denominator of the automorphisms:
1357003526750007462368125508437785342030875812304708553752179929142861842203\
4479484261392889796018706427401131954501668838696455337246137367184000913428\
0001879455810056211150199400054048783203109545905204212035522393570163184211\
1753491453430046001339681550633837296069924646435033297879542953553028104130\
9280846594524125830393659185185530723446504084587256270647453720257392185441\
3410748150684137109620334723410641650893060064137743091624772481310476589939\
1666766623558992333047789372180612664997885128344048074793752921517890721546\
24
Complex polynomial:
x^128-2632*x^120+6871320*x^112-101089856*x^104-58251807472*x^96-750662486784\
*x^88+536157155980672*x^80-2449192356298240*x^72+8985956065846272*x^64-97967\
69425192960*x^56+8578514495690752*x^48-48042399154176*x^40-14912462712832*x^\
32-103516012544*x^24+28144926720*x^16-43122688*x^8+65536
Common denominator of the automorphisms:
44087448547102485084453906298441775972352

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.