Group GAP4(128,2245)

Name: (C2 x C4 x D8) : C2
Maximal quotients:GAP4(64,263) GAP4(64,264) GAP4(64,266)
Real polynomial:
x^128-416*x^126+83188*x^124-10658936*x^122+984155166*x^120-69820363840*x^118\
+3963029710016*x^116-185032762709756*x^114+7251065374428141*x^112-2421661218\
01095232*x^110+6975117704759360704*x^108-174920307151088616668*x^106+3848827\
213113182428570*x^104-74777792647345032524140*x^102+128962996623256654545046\
6*x^100-19830151428222918958085900*x^98+272879973670343134943221046*x^96-337\
1052835344994286372934296*x^94+37485003671803178929804871264*x^92-3760225903\
04059732991433370508*x^90+3409108869738153822724287074382*x^88-2797710633190\
9718271799349983956*x^86+208083093236260528808959889864932*x^84-140398953635\
7375593813315945684408*x^82+8599983807165555084527351447548641*x^80-47846584\
059190084006852367356337000*x^78+241847030206037514833126078651994018*x^76-1\
110686727928318410787017816208764584*x^74+4633802184233356050908946539958253\
607*x^72-17555899963781644832213084498622675620*x^70+60367536046607323750861\
284809755293206*x^68-188253457273287226795378484544455108204*x^66+5318797546\
24484346407111032227818802082*x^64-1359851267860553818642557527264750537928*\
x^62+3141625000930690350064456341582655741766*x^60-6547515990501738015740994\
455655004982368*x^58+12286387447639308501783178745958669023023*x^56-20713317\
745178098785312598264645092983452*x^54+3129576827100480493253237214573068327\
1262*x^52-42260887196831579755505043902946602799684*x^50+5084901035053371192\
4411884081859926504849*x^48-54331517608241156049210063586018978437920*x^46+5\
1361211502547882615361315759972860357614*x^44-427827908212122656477978742130\
95120694312*x^42+31263019647502674869977566487298066859129*x^40-199449238348\
55009065175224362436417934692*x^38+11051231593235350217111272930508733139330\
*x^36-5288304555053791852174285750914795080496*x^34+217217886673247139492134\
9923254523839749*x^32-760783279339525914562516044864993808808*x^30+225553408\
384803165385823698296751303918*x^28-56150969842742573228295985899676279436*x\
^26+11631795460357943178393140180124304189*x^24-1984319075954539776452443333\
726924248*x^22+275413243913104874128141500550793948*x^20-3065236704193398617\
2114373973563112*x^18+2687238065969082076076611899667860*x^16-18143250558108\
9652845548959177048*x^14+9159407503455452353640289271814*x^12-33209232296897\
1668627095598340*x^10+8158918639972702374728469049*x^8-124011857042665463408\
744952*x^6+990902471820983492188574*x^4-2870894484629518155004*x^2+213708831\
3122479201
Common denominator of the automorphisms:
9201075275303323478843154648843991972170397944828123418361419867546370906711\
2909815873489699350573551805393217480671038917842743689294244571453083886076\
1449785954260686031607055264865550174689834143587076318278579811124353414635\
4124508291391401997557900091363371421695347671804560824304413436886101211106\
4575459748011410477222725455315390675877636706245443868905181788159169894020\
9121109521483036887700438799065548894028942166352762354545627642354307448108\
0295095234847890657782674003787327717698962321403643845192006173635309148530\
474498228224
Complex polynomial:
x^128+200*x^124+4544*x^120-304400*x^116+25248516*x^112+3445549800*x^108+1162\
87635712*x^104+1342753676840*x^100-5343154980886*x^96-257488271261920*x^92-2\
085414892872256*x^88+644529391042280*x^84+139015889248601360*x^80+1080759281\
470127000*x^76+3023649875201140544*x^72+885506010283700000*x^68+505397267434\
2438515*x^64+78663917420293873760*x^60+225236655477893219776*x^56+2963266757\
76977703240*x^52+230970160582109614608*x^48+107150726364010819960*x^44-86117\
85628618146496*x^40-46935946127997972640*x^36-21375488097641317334*x^32-1298\
721011417670600*x^28+2214835521503860224*x^24+1015476381474970680*x^20+15778\
1431444579524*x^16+2796971399015760*x^12+210174354704448*x^8+469687555800*x^\
4+43046721
Common denominator of the automorphisms:
6361407989296582823135075046172668896133582845921852440743838336250785472276\
9563159399660439169055045772434472939670452074690162566212489058792003776123\
9825111399482417516899027935820793457106514449787440076518041415695171074925\
69882404308503912448

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.