Group GAP4(54,5)

Name: ((C3 x C3) : C3) : C2
Maximal quotient:GAP4(18,3)
Real polynomial:
x^54-144*x^52+9504*x^50-382158*x^48+10499040*x^46-209513952*x^44+3152339343*\
x^42-36644645808*x^40+334615103136*x^38-2427641746596*x^36+14101790505696*x^\
34-65910485474496*x^32+248543916633063*x^30-756811025766288*x^28+18593160470\
58528*x^26-3676758206801094*x^24+5829091280575488*x^22-7367011654439520*x^20\
+7365220485160329*x^18-5765167875653424*x^16+3484864195023456*x^14-159658742\
6384328*x^12+540254245341888*x^10-130139391892608*x^8+21134595604752*x^6-212\
6052956160*x^4+114709561344*x^2-2427715584
Common denominator of the automorphisms:
6723941363862616911853019336488613006147697646135961452665098948504286528307\
20
Complex polynomial:
x^54+18*x^51-9*x^48-1614*x^45+1591308*x^42+19197954*x^39+105350802*x^36+3491\
59158*x^33+787635513*x^30+1285132736*x^27+1466139303*x^24+1122136164*x^21+10\
09781736*x^18+300508686*x^15+110305053*x^12+18853242*x^9+1602981*x^6-144*x^3\
+1
Common denominator of the automorphisms:
1318004503578

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.