Group GAP4(72,16)

Name: C2 x ((C2 x C2) : C9)
Maximal quotients:GAP4(18,2) GAP4(24,13) GAP4(36,3)
Real polynomial:

x^72-456*x^70+95042*x^68-12054112*x^66+1045156633*x^64-65995491392*x^62+3157\
136239920*x^60-117534392029184*x^58+3471097560019060*x^56-82487045704131680*\
x^54+1594497141383983160*x^52-25281642790612096640*x^50+33093035371913646771\
6*x^48-3593967827905506772160*x^46+32503888536828148793168*x^44-245454223775\
091482699776*x^42+1550281819231456851003758*x^40-8195910199080637051181360*x\
^38+36266046557343067131737228*x^36-134192174732224833621864512*x^34+4144985\
67178580513777926254*x^32-1066008364282898400805048256*x^30+2274673837104654\
504192846928*x^28-4009091246205852452190214144*x^26+580356686552585239396737\
1780*x^24-6852230555854307952436021600*x^22+6541704823086660718263845688*x^2\
0-4995267909397043263963779712*x^18+3009174786435351451931060084*x^16-140470\
0950723903692454174528*x^14+496120907558972629144776240*x^12-128254005081481\
152767647744*x^10+23124277825746613823365145*x^8-2695850662256868098833224*x\
^6+177652148608707064290754*x^4-4851320981847294527584*x^2+34760107508017505\
29

Common denominator of the automorphisms:

4122543802157200349182903600015113540857052202706102631843568873047634574177\
2007327556624444727640785553431528272742522550780083615402817324414931446826\
689632039681204817068045652594330354274110378495442944

Complex polynomial:

x^72-598*x^63+229780*x^54+13217402*x^45+340014475*x^36-1016176498*x^27+29707\
64596*x^18+705391304*x^9+40353607

Common denominator of the automorphisms:

67500759583509609656658728101469130170973

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.