Group GAP4(128,998)

Name: C2 x C2 x ((C4 x C2) : C4)
Maximal quotients:GAP4(64,56) GAP4(64,192) GAP4(64,193) GAP4(64,194)
Real polynomial:
x^128-392*x^126+73852*x^124-8912384*x^122+774741518*x^120-51724877552*x^118+\
2761633276004*x^116-121227584343800*x^114+4464426127791367*x^112-14005437790\
5838944*x^110+3787749242460672652*x^108-89159520071990680472*x^106+184092140\
0565678402026*x^104-33556415075931122706424*x^102+542901316805322590668192*x\
^100-7831341237900733399276552*x^98+101108333677761480276671299*x^96-1172171\
105860109286793547056*x^94+12236505962674567737110832208*x^92-11529680648557\
5912255889538960*x^90+982534222702712293380150758148*x^88-758561692546043247\
5622447993424*x^86+53133645376260301320229521790328*x^84-3380641836518313270\
23254826195056*x^82+1955678513852941883670432532501298*x^80-1029420703901655\
6073052494867656144*x^78+49332213656739998962286738507790792*x^76-2153165476\
33158027852765831165133488*x^74+856102119008576915661693179081953756*x^72-31\
00955186734571752353151573405420192*x^70+10231455891731513862366135761005784\
864*x^68-30742021792683118854394692930024329584*x^66+84079906814006896504264\
084706409659579*x^64-209198463440657293126655539104174072696*x^62+4731524529\
59913358604085573218043719660*x^60-971886344715804831513391750960212569952*x\
^58+1811002540712978535873550693708080774030*x^56-30573596786484605727598282\
87555722030848*x^54+4669215958818515865447808073920026738420*x^52-6439637412\
803777160170675528839775823160*x^50+8004679848649162256492521713192398412311\
*x^48-8947890983618832025203254780290046937360*x^46+897204037325021785750639\
2387834398040908*x^44-8046545111441769187236404536384236730808*x^42+64337395\
02469306810694548556363166734842*x^40-45693140148555832066885955850991779642\
64*x^38+2870443419820712676206404563214439179424*x^36-1587361176943987458007\
854704808302294664*x^34+768499363148357931203349594154369114985*x^32-3236668\
82323675607045674604923319467088*x^30+11771803922534897047948685477973436423\
2*x^28-36655472683773173406038591875869437008*x^26+9673332515723501516000192\
773319317824*x^24-2137501302273276939622740199729755584*x^22+389781551553171\
847759036013692302992*x^20-57632032552855114346075959969911392*x^18+67617358\
23363366166394710851029688*x^16-612985523875887161717876647865152*x^14+41550\
574422487607401403853566304*x^12-2022386661288607317647794893504*x^10+672083\
17983730233850256352992*x^8-1425209861001342548070224000*x^6+174039233502788\
72920645952*x^4-102770047341841179402496*x^2+221193149344830558736
Common denominator of the automorphisms:
2830175034598528841850350035215994832529676909659886130974839099112292335745\
6736495972711290324473360346099060724184498857863550249595790710887864543911\
9471337251267505215670472948230551840664309337582879536040257663161241480041\
3534668429586013407948031334740054641558760939854795273791992337975541187783\
2420978805606161063275771861216765134332916022362909998199603501179755739511\
5369561263112383223421741197841323698293744144604074056784903067590256177561\
01624944999282386412647511323631761232823593205760
Complex polynomial:
x^128-163215*x^120+21645130080*x^112-813275477038603*x^104+24791468455830272\
325*x^96-4546844880696301603456*x^88+817187744212478895491146*x^80-218578926\
9343441325943510*x^72+4980412895007497555441728*x^64-21857892693434413259435\
10*x^56+817187744212478895491146*x^48-4546844880696301603456*x^40+2479146845\
5830272325*x^32-813275477038603*x^24+21645130080*x^16-163215*x^8+1
Common denominator of the automorphisms:
7808681766059447425443076754213319202435959270594061018135216115844392449368\
500600832000000

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.