Group GAP4(128,1787)

Name: (C2 x C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(64,203) GAP4(64,254) GAP4(64,256)
Real polynomial:
x^128-1024*x^126+496480*x^124-151804224*x^122+32895964592*x^120-538341584012\
8*x^118+692341196503840*x^116-71901700141490240*x^114+6149811329738410200*x^\
112-439682336036186553600*x^110+26582701818676313093472*x^108-13717139142433\
18060445760*x^106+60871972433971396732846288*x^104-2337719631574072563646941\
312*x^102+78107917743156715868325609760*x^100-228085440900479388132487000403\
2*x^98+58439242651248780544982929758844*x^96-1318262974392042056056304077762\
048*x^94+26259933646428040133094823863504096*x^92-46315654459147002277647806\
0390147136*x^90+7249672899074587992046426045809409840*x^88-10091597516481736\
5650728792437064999296*x^86+1251523594477682342059425709909306489760*x^84-13\
849797358475194630263811130633398739776*x^82+1369519312518339256745887269211\
94805264168*x^80-1211492348174385103272625271703030280133376*x^78+9596750185\
480667565837212949940760082680032*x^76-6812714638924510854464321645357838077\
7882432*x^74+433680622717237727078498645950704712440165840*x^72-247659825480\
0749898740268936169094395210518656*x^70+126905195144413094178950792287310906\
66308583328*x^68-58353126221537949470208470774140644875496423488*x^66+240741\
543030254854555706368907087131246695455526*x^64-8908366871709552288915234912\
49398505551890479104*x^62+2955133414112474267487389764794465349448584686112*\
x^60-8781526466806066480570884884128064203842828586944*x^58+2335416826254046\
8658696600044892198185233021075856*x^56-555197738229125625545999506720498855\
02440847268992*x^54+117814911965943970195517324592309829087066219127136*x^52\
-222785639795319013964047226914790042016781745679552*x^50+374669456232502065\
740891571958339991546967004542056*x^48-5590959254235866838251386755435574967\
43640817664768*x^46+738334449441249664143489290844999189704594279470112*x^44\
-860266916036644545403093991099547070267611293887680*x^42+881301783024194157\
680172982403584238618979227557104*x^40-7907090415906755508413565590667695495\
84310059330944*x^38+618534690720859067542856933413253656887379885612896*x^36\
-419717368766036327455623256473309401832563886312384*x^34+245633033748763661\
551243366190623970240065514848572*x^32-1231704726994732084500909274827891841\
45643376997888*x^30+52527299309309587966561252847305198108756224552352*x^28-\
18890851474379701450350854491851995811025067221696*x^26+56745070358397282511\
92091641717679174699874275728*x^24-14081226373954462170318471554049712969420\
76806272*x^22+285031052712685355413557242042010861908084101088*x^20-46374366\
788709177540862293753539116596298039232*x^18+5959255353138242730395303109878\
379913885047576*x^16-592041765281877375793133793904223505143792896*x^14+4425\
7797061338525100888904262650255648290208*x^12-240091811199049845695964218898\
1611990069184*x^10+89733324995920280079479882220532151633008*x^8-21283418820\
73402531890526909320781232512*x^6+27594780135397291800440314103827937248*x^4\
-141144483107504935259484538743789248*x^2+220752633666024062257361958007201
Common denominator of the automorphisms:
1781132556823141867677567750818576519147736876225100322174620938888036855100\
3576944675228821260511113929925339474221450009902633241691156721966602433930\
3733978443501990987203373872879556957069568245903806538970157836985434666901\
4848174749246897128334418784697354516857436236673371550599433477233201929141\
5949881774948834213463568432849399260855591528601772647904512749194190589943\
9370639785794464257504643841128842160733488163547113633838167336835874209834\
8869640794199940369234118753735825082146734017240499176499778520330228617393\
1205582393624177572796101825466806046122209098094049459057619045586470994050\
5024204479410404189359626202470877917077339170026957406909821886195077361547\
85610537355996336972355643326506978659157409792
Complex polynomial:
x^128-1512*x^120+42940548*x^112-3172469328*x^104+909649243818*x^96-361778996\
36088*x^88+423512665905168*x^80+103657987426392*x^72+1963478950450803*x^64+2\
30455200005352*x^56-820153558405872*x^48-75160727030088*x^40+145718644622058\
*x^32+4595706197712*x^24+376381396548*x^16+7231849128*x^8+43046721
Common denominator of the automorphisms:
2843052326818978087833929068928297127026182032970045411200

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.