Group GAP4(72,41)

Name: (C3 x C3) : Q8
Maximal quotient:GAP4(8,4)
Real polynomial:
x^72-1584*x^70+1139832*x^68-496738968*x^66+147531218490*x^64-31867256420208*\
x^62+5217582376412604*x^60-666312473341316736*x^58+67765576255125569235*x^56\
-5574944300213046792176*x^54+375430955595234442339932*x^52-20883879529430198\
848113096*x^50+966162935286329566469041140*x^48-3736135316540484451936148241\
6*x^46+1211808895909705113125506437312*x^44-33037776684419213398604149670928\
*x^42+757813391003829287021467636256571*x^40-1462275717061465820348340357609\
1728*x^38+237092686345904989261366165296020720*x^36-322347831358919442925454\
3826156572712*x^34+36639302096774921536707854082012545706*x^32-3468046513891\
99731283198470563504274000*x^30+2720304061833069825644500520772348172476*x^2\
8-17577340139478225462933131596568923079904*x^26+928825464996649412737425691\
51477878672621*x^24-397812982803105896435599379904295902738384*x^22+13656456\
17219410300192494776167810756254204*x^20-37044218740884783660565377285118917\
45073528*x^18+7793317724813255257943841878854669618137192*x^16-1240007622959\
1601073258605703037050757838224*x^14+144079320346235638190970715343367399080\
66184*x^12-11618177619072506771381558433626680032748176*x^10+601645037324426\
5565250798054268116846037572*x^8-1768225104176715443573763551610966385853376\
*x^6+241683145148847819442129185812513569028352*x^4-925832729145135678503244\
9887130459264000*x^2+95252403351197057555743432859704960000
Common denominator of the automorphisms:
2442176093298690142527148266853083798157143734199738809689202468591107189120\
6337031567245334820189538157824579027649675479927387915138070494769067136297\
1748305763787239236366269264768742059243152451208200832573093774866678810591\
0874914631025235272990558102025909788958641661598262076711053812437324720114\
1937994860822764414020234456312850753001347083640792927233803188251042135591\
3798500712399914274142747152011089176673397794139944984510145585729490926203\
1957528802131326811607363827622005784185167594410226790036635097500547957710\
1313254993187757095417046707269448020433372092575397809644387691750243060996\
6186287976379393223442766743988433819039401247663722131456000
Complex polynomial:
x^72-60*x^70+2016*x^68-41556*x^66+547149*x^64-4901904*x^62+33847920*x^60-229\
748688*x^58+1784717784*x^56-13316750064*x^54+78492138912*x^52-328982386032*x\
^50+783567580176*x^48+1075834087056*x^46-24302334841200*x^44+165700331860752\
*x^42-814796951342094*x^40+3245114417041368*x^38-10785487219013376*x^36+3003\
8615733799080*x^34-69523103105894142*x^32+131235922155268368*x^30-1956262181\
84987760*x^28+217311190886533968*x^26-157855158409777776*x^24+41754287759817\
744*x^22+43622991582319008*x^20-41903644706252208*x^18-2055936066059880*x^16\
+20995019001955440*x^14-6397439135579280*x^12-4981042338928272*x^10+25979600\
25517221*x^8-112578939541692*x^6+5358102480864*x^4+2879464185036*x^2+2359388\
1609
Common denominator of the automorphisms:
8380756057743979764884384760120467298594710933336901667467988419766975048944\
8534589604476289733034310199313608755376429233214643462709960911745333675279\
9781905071120072916715046930349579692018153495168873922560

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.