Group GAP4(64,37)

Name: C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2)
Maximal quotient:GAP4(32,6)
Real polynomial:
x^64-544*x^62+125952*x^60-16370048*x^58+1327341120*x^56-70681506560*x^54+254\
2407708672*x^52-62927616207872*x^50+1089429315307264*x^48-13418108258494464*\
x^46+119691846644563968*x^44-786747348249829376*x^42+3870073539249631232*x^4\
0-14433036687825420288*x^38+41237022983959609344*x^36-90999952574662770688*x\
^34+156063226208169779200*x^32-208951540016224796672*x^30+219114979953278451\
712*x^28-180323764308544061440*x^26+116554457042944524288*x^24-5913213264280\
3154944*x^22+23490150797729071104*x^20-7272008013530005504*x^18+174068478460\
7166464*x^16-318292377968050176*x^14+43659756279169024*x^12-4371530490314752\
*x^10+306372784685056*x^8-14042731118592*x^6+373662154752*x^4-4563402752*x^2\
+16777216
Common denominator of the automorphisms:
1997348188150954755528711043459197116745406881667946515449775750813745279886\
87641247744
Complex polynomial:
x^64+544*x^62+125952*x^60+16370048*x^58+1327341120*x^56+70681506560*x^54+254\
2407708672*x^52+62927616207872*x^50+1089429315307264*x^48+13418108258494464*\
x^46+119691846644563968*x^44+786747348249829376*x^42+3870073539249631232*x^4\
0+14433036687825420288*x^38+41237022983959609344*x^36+90999952574662770688*x\
^34+156063226208169779200*x^32+208951540016224796672*x^30+219114979953278451\
712*x^28+180323764308544061440*x^26+116554457042944524288*x^24+5913213264280\
3154944*x^22+23490150797729071104*x^20+7272008013530005504*x^18+174068478460\
7166464*x^16+318292377968050176*x^14+43659756279169024*x^12+4371530490314752\
*x^10+306372784685056*x^8+14042731118592*x^6+373662154752*x^4+4563402752*x^2\
+16777216
Common denominator of the automorphisms:
1997348188150954755528711043459197116745406881667946515449775750813745279886\
87641247744

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.