Group GAP4(96,153)

Name: (C6 x Q8) : C2
Maximal quotients:GAP4(32,29) GAP4(48,40) GAP4(48,41) GAP4(48,43)
Real polynomial:
x^96-312*x^94+46116*x^92-4304088*x^90+285221706*x^88-14305984056*x^86+565329\
042060*x^84-18088821376632*x^82+477969916895613*x^80-10584528784352280*x^78+\
198671821107041556*x^76-3188851665814050696*x^74+44075683886324590674*x^72-5\
27519194943026245408*x^70+5491106638729818125328*x^68-4988407836831778337587\
2*x^66+396550325057316824645370*x^64-2763930632532885042396408*x^62+16914039\
631879477142935044*x^60-90954833188400019383541048*x^58+42994957653695251868\
1074010*x^56-1786407706099803738910154472*x^54+6520576918004455788963131364*\
x^52-20889309479924137999958407656*x^50+58655212891772238662129175285*x^48-1\
44100640675847734073399536712*x^46+309065056844633226349266161628*x^44-57718\
2933904077209049746135832*x^42+935633044237183803716188927950*x^40-131175107\
7951658012101515954880*x^38+1583907603041635179803928943776*x^36-16392445117\
73927687828455890336*x^34+1446051098822005291892546047770*x^32-1080392838374\
467873971807392232*x^30+678661752290890183027743833964*x^28-3554035549480727\
83730649883752*x^26+153644195903433134199797598534*x^24-54203964868093548490\
433914968*x^22+15393012489708428237614399836*x^20-34611036756301805125167321\
84*x^18+603721876451036389823279709*x^16-79604338165638538111100424*x^14+766\
9124042213833165019196*x^12-515245569851621271061944*x^10+225455972869471690\
94526*x^8-573900127623865761552*x^6+6704681649437831688*x^4-1407841215656299\
2*x^2+4408324359201
Common denominator of the automorphisms:
1994562023038570209671450775754604523906481336173466920586953416272040372257\
7550533241674359320545892624765273406767232181033108819412779879287209398526\
8386772935051007678776189258774035243466752
Complex polynomial:
x^96+193788*x^72-746010*x^48+15696828*x^24+6561
Common denominator of the automorphisms:
82545148224

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.