Group GAP4(120,39)

Name: A4 x D10
Maximal quotients:GAP4(24,13) GAP4(30,2)
Real polynomial:
x^120-2640*x^118+2407856*x^116-1137950540*x^114+327303834416*x^112-624483582\
07380*x^110+8341947164902310*x^108-809940204148015080*x^106+5877357093982356\
7904*x^104-3257415794661314953510*x^102+140302402553678993941412*x^100-47633\
79185474784928891420*x^98+128984072704074784811554189*x^96-28134196404354886\
57172873260*x^94+49851792443600133784975525216*x^92-722816436542701880616729\
147400*x^90+8629682461207949447779695197704*x^88-852950778703735754451189152\
55860*x^86+701176880154537452463521399216941*x^84-48131048229366613835209897\
18720400*x^82+27680863871792832975677046595332324*x^80-133761036147360093933\
087277434276920*x^78+544406247503209148466640472478556656*x^76-1870018973325\
251310876647191652838680*x^74+5430596344157172601135379729224893604*x^72-133\
52406023577774936808427681793084140*x^70+27829794122838644160181250892339277\
084*x^68-49218724070723200246758090606428741810*x^66+73919356509968784061702\
670694611378740*x^64-94327155469163584830887368818958992660*x^62+10230884150\
7189307633036135943935241215*x^60-94327155469163584830887368818958992660*x^5\
8+73919356509968784061702670694611378740*x^56-492187240707232002467580906064\
28741810*x^54+27829794122838644160181250892339277084*x^52-133524060235777749\
36808427681793084140*x^50+5430596344157172601135379729224893604*x^48-1870018\
973325251310876647191652838680*x^46+544406247503209148466640472478556656*x^4\
4-133761036147360093933087277434276920*x^42+27680863871792832975677046595332\
324*x^40-4813104822936661383520989718720400*x^38+701176880154537452463521399\
216941*x^36-85295077870373575445118915255860*x^34+86296824612079494477796951\
97704*x^32-722816436542701880616729147400*x^30+49851792443600133784975525216\
*x^28-2813419640435488657172873260*x^26+128984072704074784811554189*x^24-476\
3379185474784928891420*x^22+140302402553678993941412*x^20-325741579466131495\
3510*x^18+58773570939823567904*x^16-809940204148015080*x^14+8341947164902310\
*x^12-62448358207380*x^10+327303834416*x^8-1137950540*x^6+2407856*x^4-2640*x\
^2+1
Common denominator of the automorphisms:
5153397915507264790649890014521680963199548008519211658233149470761668275572\
4556785635837317765165405869098519374234598554506123427442291672102613077525\
3002931935537137365486963520826810344344024843606142679918657648753706166976\
7754095678483027084330540922678729024707063833820879471098292770193874314601\
592971981001461714410198521702673310989043302190220600
Complex polynomial:
x^120-11340*x^116+46414786*x^112-67066472284*x^108-8664945552017*x^104+61987\
090569407528*x^100+33723338279965703324*x^96+7278153674427041510888*x^92+809\
996776916186316352751*x^88+48038634576814519244276068*x^84+13111197360765251\
88879202754*x^80+5771275874703457613401578868*x^76-2161061978896299236073074\
60223*x^72-4530942832458141921692160734528*x^68+2976609557454392946590149087\
6928*x^64+248232704013123472863014688079872*x^60+167901676278092002625595522\
0955136*x^56-39497592853531398562389111401873408*x^52+1998922543959504784228\
96517503254528*x^48-432458001936016202826435680553402368*x^44+41183290556684\
0307058815534079410176*x^40-108625233308122908706098993252270080*x^36-330044\
67825015455870172466128093184*x^32+38575891269711101568856814463746048*x^28-\
8313157726045118828014098863620096*x^24-532090979280906467854089680060416*x^\
20+746750518637540657965135481012224*x^16+26502749982770554134228346339328*x\
^12+502819973391345201447348207616*x^8+4252396570494458122028974080*x^4+1934\
2813113834066795298816
Common denominator of the automorphisms:
1721508145491863902046107797681440446292858267165654861381308572616783410814\
7636464686052538262960709800926657633599506234101508368923883040416934905418\
1735339187996498421513420610607131119045715893053879297399252357062558798829\
47005375879788983685326025186568919056384

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.