Group GAP4(64,63)
Name: (C4 x C4) : C4
Maximal quotients:GAP4(32,23) GAP4(32,24) GAP4(32,31) GAP4(32,32)
Real polynomial:
x^64-600*x^62+165888*x^60-28137600*x^58+3288765960*x^56-282076483968*x^54+18\
462151014624*x^52-946795776694272*x^50+38766453435343152*x^48-12849587274118\
54464*x^46+34838245080345808512*x^44-778650840792873612288*x^42+144298651075\
65170696448*x^40-222643370491390835444736*x^38+2867845400544400252581888*x^3\
6-30881540960659370694094848*x^34+278027197877335129971616512*x^32-209031012\
3433476498373601280*x^30+13090855827352631199281123328*x^28-6801501479855507\
0751792365568*x^26+291486606374410547682105280512*x^24-102240819492306128345\
2855910400*x^22+2905154590559737620097173086208*x^20-65991215101775956379206\
49576448*x^18+11780754628042909953024769511424*x^16-161734181269454567991599\
64106752*x^14+16614724068446881877546541023232*x^12-123476110947538387483796\
20048896*x^10+6375958642590300306105219809280*x^8-21811992983943675081738532\
94592*x^6+463526995251735688197396234240*x^4-54635912404523622129529257984*x\
^2+2691665719620226368344948736
Common denominator of the automorphisms:
2460822569206451718097962231227521406418535787663291103517596642313097146733\
880236710699797716670629408800982529354968648908800000
Complex polynomial:
x^64+600*x^62+165888*x^60+28137600*x^58+3288765960*x^56+282076483968*x^54+18\
462151014624*x^52+946795776694272*x^50+38766453435343152*x^48+12849587274118\
54464*x^46+34838245080345808512*x^44+778650840792873612288*x^42+144298651075\
65170696448*x^40+222643370491390835444736*x^38+2867845400544400252581888*x^3\
6+30881540960659370694094848*x^34+278027197877335129971616512*x^32+209031012\
3433476498373601280*x^30+13090855827352631199281123328*x^28+6801501479855507\
0751792365568*x^26+291486606374410547682105280512*x^24+102240819492306128345\
2855910400*x^22+2905154590559737620097173086208*x^20+65991215101775956379206\
49576448*x^18+11780754628042909953024769511424*x^16+161734181269454567991599\
64106752*x^14+16614724068446881877546541023232*x^12+123476110947538387483796\
20048896*x^10+6375958642590300306105219809280*x^8+21811992983943675081738532\
94592*x^6+463526995251735688197396234240*x^4+54635912404523622129529257984*x\
^2+2691665719620226368344948736
Common denominator of the automorphisms:
2460822569206451718097962231227521406418535787663291103517596642313097146733\
880236710699797716670629408800982529354968648908800000
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.