Group GAP4(128,453)

Name: ((C8 x C4) : C2) : C2
Maximal quotients:GAP4(64,174) GAP4(64,177)
Real polynomial:
x^128-576*x^126+159568*x^124-28334560*x^122+3626539656*x^120-356701474144*x^\
118+28072535668032*x^116-1817405654811840*x^114+98755267231347444*x^112-4573\
306819609104480*x^110+182656303714396505808*x^108-6351966853285240968096*x^1\
06+193828256695692523846144*x^104-5223247479682451168128896*x^102+1249680959\
21105153691542032*x^100-2666529503571758252256362272*x^98+509374730053442497\
04630801466*x^96-873936810916784428382803242976*x^94+13504371891380249759504\
969892608*x^92-188383750350070260441930522279360*x^90+2377153355311612244574\
068632307720*x^88-27180156988720499777531341766185568*x^86+28199777760397006\
9991486668544145648*x^84-2657972188580377560692694341664684704*x^82+22781503\
468423077502040098550652286288*x^80-177692840783956287337821009506359998336*\
x^78+1262002397390020244680085782945568004976*x^76-8164396354029723082644511\
787172462627744*x^74+48123854995892843204431765194087729371256*x^72-25846321\
0124586663064237879892922806487648*x^70+126474054590400930588125670277816517\
5085344*x^68-5637219201472517737542207700773324401942400*x^66+22878098793886\
811554031106398287951345780771*x^64-8449502700819532357057805229752381835370\
8896*x^62+283789251514719208126299895737706670896503168*x^60-866048640099465\
201678871039650899226512334272*x^58+2398975384124515166673646944986685641669\
492552*x^56-6024566587859599370060310007909850756270605536*x^54+136974720395\
70558900752248698302092479442360880*x^52-28150122041347634606889921795296600\
661778721056*x^50+52198862339399832742450432559982826923453819216*x^48-87155\
373025424510375313217805203654284498716800*x^46+1307301830752554265557651051\
24623392516298970160*x^44-175700763124254944710105106251338070090210601760*x\
^42+210964799397034593617160831297611208555768406072*x^40-225549828838729709\
424358158131100281495981589984*x^38+2139140544434442289056785423603830134130\
65139488*x^36-179204391840352809739240729730997914102259039360*x^34+13196543\
8364380914903752259768160828578692296026*x^32-849485199170698765652965314477\
43020803994615456*x^30+47494677273413188330739544634146482602833170544*x^28-\
22891737494724153348671809103018979591563414368*x^26+94282948553784393687936\
60176199003958987102656*x^24-3283563729398663965791716882903507041950562432*\
x^22+954729537552449874706121602669960960635303856*x^20-22813118316527662295\
4016737825176281400828640*x^18+43909685205185257063617343316687870754606868*\
x^16-6631777766548330869889841994865538203431072*x^14+7585007894982321975704\
82970237124536497888*x^12-62466270326917825548948289563999719069568*x^10+343\
5663109629108648177397147037754975864*x^8-1121197735075230733223514102234591\
67200*x^6+1798298778637993026099092249422530000*x^4-104390357282708821053957\
79231500000*x^2+15090301502707000544949125390625
Common denominator of the automorphisms:
1171494408550257227329482187502785640659503975329762118707812117312177381469\
8605952568208618914131844631867928190371109039852814758594786447395231787666\
3985466284592310479358970260762863906799633685525189705999431696176329356859\
8945702112397953556648387832287460239162219484753716980995739785409047714890\
7135469040434510191669768482716245307785038440463685093854667454364193667198\
8652502936986473214524262579742631739010646673574045093615855694534908009512\
960000000
Complex polynomial:
x^128-1192*x^120+661668*x^112-816032144*x^104+522464232266*x^96-315887880527\
28*x^88+1276829158017040*x^80-30855067709532424*x^72+547863640238830035*x^64\
-5824285835925979096*x^56+40797170202156410896*x^48-858347017239356904*x^40+\
17891035488793418*x^32-2407958916656*x^24+191253540*x^16-18040*x^8+1
Common denominator of the automorphisms:
2120835434232672729879022859278985785329627013128533226366796237564807681638\
987413625373062015849216

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.