Group GAP4(64,64)
Name: (C4 x C4) : C4
Maximal quotients:GAP4(32,24) GAP4(32,33)
Real polynomial:
x^64-596*x^62+153758*x^60-23015176*x^58+2264749316*x^56-157152160784*x^54+80\
39500290944*x^52-312482020617952*x^50+9425859366130304*x^48-2240585391176499\
84*x^46+4244202492777023968*x^44-64589672217605147008*x^42+79432736516637907\
5648*x^40-7925677276490221810432*x^38+64315089006234714431360*x^36-424845975\
746085797892608*x^34+2283330507279395903326208*x^32-996442731099170553160396\
8*x^30+35181319954743000824872960*x^28-99956150542280360469972992*x^26+22685\
3397825418282566386688*x^24-407325718305692702607740928*x^22+571590476845723\
821982251008*x^20-617286306020326302464712704*x^18+5031276630693484714307133\
44*x^16-301752934774603357599301632*x^14+128657176032677358530330624*x^12-37\
114403139599867040497664*x^10+6725255803408306954305536*x^8-6843210982469657\
38602496*x^6+33843528244114225102848*x^4-609188350757821218816*x^2+215986787\
7514018816
Common denominator of the automorphisms:
1980412178627296615226002350899270715172450696898772700598851645377304752690\
4191206626707526583826808176626436953391358823427016206541984349361844458021\
90263649222309091465628017517527467543185751590639506319260778496
Complex polynomial:
x^64+596*x^62+153758*x^60+23015176*x^58+2264749316*x^56+157152160784*x^54+80\
39500290944*x^52+312482020617952*x^50+9425859366130304*x^48+2240585391176499\
84*x^46+4244202492777023968*x^44+64589672217605147008*x^42+79432736516637907\
5648*x^40+7925677276490221810432*x^38+64315089006234714431360*x^36+424845975\
746085797892608*x^34+2283330507279395903326208*x^32+996442731099170553160396\
8*x^30+35181319954743000824872960*x^28+99956150542280360469972992*x^26+22685\
3397825418282566386688*x^24+407325718305692702607740928*x^22+571590476845723\
821982251008*x^20+617286306020326302464712704*x^18+5031276630693484714307133\
44*x^16+301752934774603357599301632*x^14+128657176032677358530330624*x^12+37\
114403139599867040497664*x^10+6725255803408306954305536*x^8+6843210982469657\
38602496*x^6+33843528244114225102848*x^4+609188350757821218816*x^2+215986787\
7514018816
Common denominator of the automorphisms:
1980412178627296615226002350899270715172450696898772700598851645377304752690\
4191206626707526583826808176626436953391358823427016206541984349361844458021\
90263649222309091465628017517527467543185751590639506319260778496
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.