Group GAP4(128,603)

Name: (C2 x C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(64,67) GAP4(64,101) GAP4(64,102)
Real polynomial:
x^128-480*x^126+110304*x^124-16178816*x^122+1703707680*x^120-137365424960*x^\
118+8831071556608*x^116-465487210790272*x^114+20528920281327392*x^112-769236\
824320654976*x^110+24785575028248935808*x^108-693337743052138328576*x^106+16\
970010434898904387456*x^104-365764216168233703527168*x^102+69795476833510672\
20515328*x^100-118444041074332066764808704*x^98+1794356064032009020490686400\
*x^96-24345112758733404254524630528*x^94+296626246180951193488062549504*x^92\
-3253183004271342285166333003776*x^90+32178007148497361236293172382208*x^88-\
287524999347314432369140226393088*x^86+2324079514458848897053537548701696*x^\
84-17012564115943230853559748412782592*x^82+11288023498540206050682732081156\
4544*x^80-679345415925515558787348768008226816*x^78+371021380366076613797121\
6434882779136*x^76-18393917143044738156126163576702803968*x^74+8278890867374\
8629657361140600300525568*x^72-338279069950054507245239451173177716736*x^70+\
1254567033081200921935131600917541281792*x^68-422151299074310088500049277185\
4983798784*x^66+12881500157252420020343006991536017761792*x^64-3561927436813\
4757201795921715577643835392*x^62+89175597342643411549371690342561628266496*\
x^60-201926932801999001253226633378648542117888*x^58+41304154526562881627276\
5269191181418651648*x^56-762118838365602954819793994446718531387392*x^54+126\
6390046164337339871571072211006120394752*x^52-189153879607293443498171821197\
7248181354496*x^50+2534224011584447874825858362269328672808960*x^48-30382035\
41383726605375218832424888672944128*x^46+32505670627826448872579674385320521\
83187456*x^44-3094229300921160556633651077641071020605440*x^42+2611624907930\
157852959886508232539555921920*x^40-1946960633534321089043260662367043502800\
896*x^38+1276421067757042686416417174318578811666432*x^36-732258410852910923\
567420119105012180058112*x^34+365512535121306683593610720750285536608256*x^3\
2-157712300251516004495726430308027729051648*x^30+58377493486255776600098707\
545530082918400*x^28-18371327485757795685653939892988956639232*x^26+48627078\
01770550417412167123669508554752*x^24-10684507284079186260726100513184303022\
08*x^22+191710735315633523130136711006585356288*x^20-27505150749396177988346\
391117196427264*x^18+3068647293120784050755772673484259328*x^16-256203108238\
991651837726313336537088*x^14+15150085863886218684448364160352256*x^12-58446\
2338419085157165833268494336*x^10+13024300323654168251642925285376*x^8-14660\
2240756311565848886116352*x^6+720693292599467398330843136*x^4-11583845368060\
32880435200*x^2+507490679851453579264
Common denominator of the automorphisms:
2697412384460984894053484547579404383694313465244354519940421172624133993220\
6069140768586665025078075399540372647659612162968149686082284374297047021638\
4637960642638993170495288501469479135230179307956333158063649586886749636764\
9469690042227478598181737031253413205269172293872994757173626518945042311675\
3847318975522864797407944519650267189240444663874099473554950018675825114638\
0298194065607062532421122904139144145779216852729584766282702716723930719198\
9282324157329585934483405292573419790258560565248000
Complex polynomial:
x^128+32*x^124+2080*x^120+385920*x^116-5035648*x^112-294585600*x^108+1706058\
6752*x^104+22978748416*x^100-9146181789440*x^96+47341115095040*x^92+84451357\
3820416*x^88-1850693939814400*x^84+16697703351590912*x^80+320570812734586880\
*x^76-392142093675806720*x^72+3586573742447263744*x^68+318681345676765323264\
*x^64+1402915923513100861440*x^60+5785779332021863448576*x^56+20317646665939\
262373888*x^52+36483795300915343785984*x^48+36967229380619712593920*x^44+169\
631555849213071851520*x^40+652941638037506426404864*x^36+1431148727858546676\
334592*x^32+1536492540770472633040896*x^28+1013919876991135613190144*x^24+22\
5568466855584667271168*x^20-4239696430397824958464*x^16+13813528992686528266\
24*x^12+42613198569999433728*x^8+260400293743689728*x^4+81867462148096
Common denominator of the automorphisms:
5017115484862877387676656754086244668915219575175205186036391285134374394267\
06724026759196428456863899265029556641248556457396036257710080

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.