Group GAP4(72,17)

Name: C2 x C2 x D18
Maximal quotients:GAP4(24,14) GAP4(36,4)
Real polynomial:

x^72-240*x^70+26766*x^68-1848604*x^66+88878219*x^64-3169551960*x^62+87217437\
022*x^60-1901808558600*x^58+33486069860595*x^56-482677340646364*x^54+5753895\
331906248*x^52-57156199718096484*x^50+475748729106820408*x^48-33314358831580\
28004*x^46+19678106036426218200*x^44-98199294024575844904*x^42+4142456771812\
63180971*x^40-1476727695331584708168*x^38+4443725981152417787578*x^36-112659\
36542206246156308*x^34+23998702886752330762875*x^32-42803736516935102287264*\
x^30+63641127510283808916564*x^28-78452975974887463945392*x^26+7965901494240\
6879027610*x^24-66088416380391181944024*x^22+44361616046719584859434*x^20-23\
801812801993014465564*x^18+10054820326962002978007*x^16-32813470078053940590\
48*x^14+807491878494423176808*x^12-145220870044097174124*x^10+18310732468697\
376990*x^8-1529264555146340568*x^6+77888084370800076*x^4-2109392616985920*x^\
2+22646472486561

Common denominator of the automorphisms:

7566812144088346332827335687912915061147881915181857892028888115766366410988\
8129960269231279254027172510834003343804053913669404748057630352952

Complex polynomial:

x^72+8745141888*x^60-8095219716096*x^48+24296993282064384*x^36+5574867729923\
8600704*x^24-16215088532815872*x^12+5566277615616

Common denominator of the automorphisms:

324219046235045988041497478430720000

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.