Group GAP4(108,45)

Name: C6 x C6 x C3
Maximal quotients:GAP4(36,14) GAP4(54,15)
Real polynomial:
x^108-924*x^106+403452*x^104-110979120*x^102+21632207184*x^100-3186483814080\
*x^98+369401549965056*x^96-34655738118124032*x^94+2685077551905993216*x^92-1\
74471844414366937088*x^90+9622726720258383664128*x^88-4548221280855817781207\
04*x^86+18566892305744655237894144*x^84-658830137369743410031263744*x^82+204\
29261143337328921164316672*x^80-556035500065597950297026985984*x^78+13333164\
233942902099046739738624*x^76-282546360406049750435779867312128*x^74+5305053\
521888208395847272239202304*x^72-88440916573566332335521628812214272*x^70+13\
11367960362110739456829798817464320*x^68-17317702550424869347043590077727899\
648*x^66+203888330890248645370672051913836462080*x^64-2141601531099632905616\
947714162195169280*x^62+20077540030963337260936534191193536331776*x^60-16802\
2819637169860443896111274545635131392*x^58+125503301681334528194142778663163\
1977054208*x^56-8363713647561403901062832877612588890849280*x^54+49695107285\
769939021459045453494215080148992*x^52-2630245618790072656563622874836108063\
26657024*x^50+1238587732320605110534221401728321260361875456*x^48-5181582226\
074088870119123288222371575026941952*x^46+1922349537823070125452919788050422\
0146053677056*x^44-63114578984501047547077044238136950242976727040*x^42+1829\
36681064724718486046528057188880952300929024*x^40-46680129254689325255025029\
5162600727016313454592*x^38+104528030286904496143330641909179469961564363161\
6*x^36-2046509184567935039660317466015138782409392128000*x^34+34886704394277\
62390921848952604571662722820734976*x^32-51534353600646705336644841343111404\
95646158487552*x^30+6560649461744844296410888839884625309310855938048*x^28-7\
152781918097059993774731479479746041651134464000*x^26+6630087771552703153640\
234124676433437184866910208*x^24-5180850609096197875695276701711358919977222\
537216*x^22+3379155151696490727649745716120971513138864193536*x^20-181818852\
3349259797855469188487448612233275244544*x^18+795772529182129785124882837172\
689191400309260288*x^16-278513154554617846359981965998504693310989271040*x^1\
4+76318227267129392650343356041668900117192638464*x^12-159383629164041154478\
63860293051111880114831360*x^10+24478556404922759170436604124874391233274839\
04*x^8-262922158304716261758809590951576776870985728*x^6+1827766154849077905\
1788693278345041016782848*x^4-715991094391368929123387331904702368448512*x^2\
+11364938006212205224180751300074640769024
Common denominator of the automorphisms:
1660363231366407194442318494171314831772989972778540316580572868147063579266\
7724421912996603711758987123672008624034471751591308655380550146889884328957\
0864745786797551768053323101217182147166960870613037595975960066674039004856\
32
Complex polynomial:
x^108+16*x^105-49*x^102-6450*x^99-103216*x^96+316099*x^93+41724244*x^90-1120\
04631*x^87-14519936071*x^84-231701652546*x^81+709861993310*x^78+937045519121\
76*x^75+1499517915568432*x^72-4592233180666108*x^69+1763985198866381*x^66+26\
713893801678080*x^63-82040366360236291*x^60+32030215889331714*x^57+554089874\
623157474*x^54-214529651695935821*x^51-3250106888530268176*x^48+995345800281\
6619795*x^45-3833555908644327479*x^42-58086785790204605658*x^39+177890781482\
550329212*x^36-3630455600307743054*x^33-503814717315700*x^30+154293256574064\
4*x^27-31488677540961*x^24-4375753536*x^21+13292815279*x^18+1844704*x^15-564\
9406*x^12+115295*x^9+16*x^6-49*x^3+1
Common denominator of the automorphisms:
4936839559871577034456551773064142331004626105751023835461452

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.