Group GAP4(64,10)

Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,7) GAP4(32,11)
Real polynomial:

x^64-576*x^62+151536*x^60-24293504*x^58+2669067648*x^56-214163273856*x^54+13\
054857757024*x^52-620736382213632*x^50+23451389593346448*x^48-71328405098920\
2176*x^46+17628079112798124096*x^44-356179962099493012992*x^42+5904353176088\
090603008*x^40-80380261817098925778432*x^38+897319000992656130152064*x^36-81\
79530394389333758830592*x^34+60434484554767734389015136*x^32-357858482229710\
989860695040*x^30+1670655824556206059992966400*x^28-600684566374419983676546\
0480*x^26+16086756900263049372124047360*x^24-30584457989801178653006796800*x\
^22+38579599313120741137956057600*x^20-29768099201877351963568742400*x^18+13\
680645793562129596490041600*x^16-3717605713204663823743488000*x^14+589143674\
809641659432832000*x^12-52961008217145261511680000*x^10+25947397984366704936\
96000*x^8-65488399469496898560000*x^6+756107062185542400000*x^4-316065126905\
8560000*x^2+85030560000

Common denominator of the automorphisms:

1382386134410125803647893904348714574245140233688708487338119373774779677010\
88572353903314626254562554213462012067840000

Complex polynomial:

x^64+14848*x^56+55694340*x^48-67061248*x^40+254060550*x^32+67061248*x^24+556\
94340*x^16-14848*x^8+1

Common denominator of the automorphisms:

69151964837811281920

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.