Group GAP4(72,39)

Name: (C3 x C3) : C8
Maximal quotient:GAP4(8,1)
Real polynomial:
x^72-432*x^70+84672*x^68-10059936*x^66+816954444*x^64-48470805648*x^62+21921\
37776240*x^60-77812061770080*x^58+2214019094735718*x^56-51297185402409200*x^\
54+979385463274057488*x^52-15549204654296768160*x^50+206708020755385291260*x\
^48-2312804998946310609456*x^46+21860060941401717393360*x^44-174957507747516\
704413728*x^42+1187160775674004826547201*x^40-6830018503253596374234912*x^38\
+33283220229705670664179120*x^36-137080487824128275001588288*x^34+4755457352\
71192007709956592*x^32-1382926807473964435459357056*x^30+3349933096987911154\
053434688*x^28-6703947854948070516113595648*x^26+109676229453856048941490806\
72*x^24-14472409344618693911708901888*x^22+15138723810992727521274764544*x^2\
0-12271283079059893877955472384*x^18+7475487876016031463140291328*x^16-32783\
30361693582758613817344*x^14+970789524677785840043473920*x^12-17513551998252\
7465307000832*x^10+16097276979859299964584192*x^8-577781885690961292443648*x\
^6+8080709923797095743488*x^4-35902018407874166784*x^2+49427140975788032
Common denominator of the automorphisms:
4425098069851654591692223248584606799875467398884987654579627119208407986987\
3464163422482430207193617709651092175130892855459692034775460023081264727209\
5721393143324192859018721242521459637432864173815965740669969778926691867903\
8734356552363521521867258967118682746019738040869782479146971617001480850704\
675958764531743578789753965016617320448
Complex polynomial:
x^72+24*x^70-12*x^68-1984*x^66+8598*x^64+859200*x^62+589360*x^60-28685328*x^\
58-74151130*x^56+3844071088*x^54+30485346680*x^52+631622640*x^50-56903086597\
6*x^48-1332120061376*x^46+3327631001808*x^44+16086871515856*x^42+91790993334\
65*x^40-51413648948040*x^38-101062500234348*x^36+15831088522768*x^34+3649363\
45408762*x^32+878787135214400*x^30+1375890834810080*x^28+1510640815301504*x^\
26+1172253420192552*x^24+840917411638848*x^22+840929214804832*x^20+817352926\
212480*x^18+538250159939216*x^16+247065419849984*x^14+99124554303104*x^12+35\
451398804736*x^10+7654014901072*x^8+732584342400*x^6+156375925056*x^4-797877\
7344*x^2+2474139168
Common denominator of the automorphisms:
2240371712610417475854102945533788813997923692447724272867569857012409994410\
5790931607294282080342124512194712743955895779142285883358222383244972848560\
7048820983115479023110817094463804770772228964231795607005689646708249319443\
48149548786300232564708703343702626253507046494239850496

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.