Group GAP4(64,65)

Name: (C4 x C4) : C4
Maximal quotients:GAP4(32,23) GAP4(32,34) GAP4(32,35)
Real polynomial:
x^64-288*x^62+38608*x^60-3206624*x^58+185282032*x^56-7927896256*x^54+2610735\
19232*x^52-6788969814912*x^50+141924819854816*x^48-2415895498165504*x^46+337\
94626890328576*x^44-391004695155681792*x^42+3758176133295059712*x^40-3008637\
2720890354688*x^38+200834261013571489792*x^36-1117527759014441879552*x^34+51\
75291466958789849344*x^32-19888274325776312012800*x^30+631507403219122952151\
04*x^28-164729738975809148354560*x^26+350405210506650473840640*x^24-60227826\
0967854010564608*x^22+827260831662526045782016*x^20-896259121455037730914304\
*x^18+754513019302052337188864*x^16-485405283112489626894336*x^14+2343253989\
22544284958720*x^12-83146629867415562878976*x^10+21136476188395731681280*x^8\
-3712244219417290866688*x^6+424843542910732337152*x^4-28353702657225916416*x\
^2+833523073080623104
Common denominator of the automorphisms:
6333779133032854700484782978271943627512712204040318398366385271625791564348\
69329021622021363759883223040
Complex polynomial:
x^64+84*x^62+5294*x^60+312648*x^58+18203968*x^56+399194208*x^54+6083351560*x\
^52+76741476672*x^50+852281355632*x^48+7860553878912*x^46+62623909952288*x^4\
4+443163199605504*x^42+2783788083771392*x^40+14952246553848576*x^38+70829175\
063650176*x^36+299914918889940480*x^34+1124066774618388736*x^32+363462592837\
5644160*x^30+10476580465353158656*x^28+26842415455118032896*x^26+59390106562\
777628672*x^24+109260551771783430144*x^22+176843250462315511808*x^20+2330539\
86998370435072*x^18+201888949880222646272*x^16+37582229091932700672*x^14+661\
9485189229772800*x^12+1137907566492254208*x^10+166146054981419008*x^8+215625\
2897476608*x^6+27972048257024*x^4+360777252864*x^2+4294967296
Common denominator of the automorphisms:
1933430969176903812776882842045257844555779956065602573225199301651876388549\
36260771840000

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.