Group GAP4(72,6)

Name: D72
Maximal quotients:GAP4(24,6) GAP4(36,4)
Real polynomial:
x^72-432*x^70+85104*x^68-10162152*x^66+825143364*x^64-48478680792*x^62+21422\
64126384*x^60-73106734417560*x^58+1963721886481782*x^56-42115903823378088*x^\
54+729134799922457712*x^52-10276092106901519256*x^50+118660909163228719956*x\
^48-1128066750965776981896*x^46+8858992595273276325264*x^44-5759510986079045\
1361800*x^42+310287973126144067352657*x^40-1385058313360956758046984*x^38+51\
16400993566868019612768*x^36-15603995210282644367808288*x^34+391513167815412\
87133810992*x^32-80426545343056806090492672*x^30+134423308751411261652433920\
*x^28-181362034136427782068251648*x^26+195603699067569620832695040*x^24-1666\
36591217794680025466880*x^22+110498496233757515081736192*x^20-56008052344925\
885984808960*x^18+21207672077381869338169344*x^16-5822837875977214706712576*\
x^14+1113702967895661830209536*x^12-140349353434302526783488*x^10+1076305961\
0178287566848*x^8-447853674812795781120*x^6+8583422908330672128*x^4-66763760\
156540928*x^2+142657607172096
Common denominator of the automorphisms:
8906718595664558544802683819436608364666570212337340882352528380447182832568\
6276307446531808009497926519319664699905643878397017243005178004365720351970\
9895832377714721239245221003264
Complex polynomial:
x^72+726*x^68+144879*x^64-2062472*x^60+6233639*x^56+15909586*x^52-57335401*x\
^48+87300288*x^44-66003118*x^40+219143744*x^36-66003118*x^32+87300288*x^28-5\
7335401*x^24+15909586*x^20+6233639*x^16-2062472*x^12+144879*x^8+726*x^4+1
Common denominator of the automorphisms:
1102412611985059348480000

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.