Group GAP4(96,183)

Name: C3 x ((C2 x D8) : C2)
Maximal quotients:GAP4(32,43) GAP4(48,45)
Real polynomial:
x^96-480*x^94+100800*x^92-12328640*x^90+986712048*x^88-55093314240*x^86+2236\
904918880*x^84-68053802289840*x^82+1587860454842388*x^80-28950564135864480*x\
^78+418828576439740320*x^76-4868814779001866880*x^74+45955144994693233032*x^\
72-355223835213738926400*x^70+2264741280397054182240*x^68-119797834337718752\
70240*x^66+52835474061972519786990*x^64-195083905000636844234640*x^62+605070\
384800863776178880*x^60-1580832335406652002179520*x^58+348685476140518654378\
9176*x^56-6504403420954590493888960*x^54+10274508087860856018833280*x^52-137\
54786124155043614832000*x^50+15611888952621944423690454*x^48-150227592977509\
09417717920*x^46+12250043331936895169526240*x^44-8457443232656573941564480*x\
^42+4937335656733788175150824*x^40-2433056875702530477984000*x^38+1009902540\
350444278036160*x^36-352151166697786076541840*x^34+102831573875460441460173*\
x^32-25051457222062751331600*x^30+5068722894712109900640*x^28-84722130637876\
6490880*x^26+116235850064134722624*x^24-12988706847748470720*x^22+1171077855\
224451840*x^20-84212132386912080*x^18+4760693415472698*x^16-207743968782000*\
x^14+6833633046720*x^12-164191564800*x^10+2760031800*x^8-30550400*x^6+204000\
*x^4-720*x^2+1
Common denominator of the automorphisms:
1733702077344958171403536488139815029088342487383261411376485419900662062383\
9832009922370210477154865461628832834123533275282714542777108376
Complex polynomial:
x^96-52*x^72+2703*x^48-52*x^24+1
Common denominator of the automorphisms:
40545

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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