Group GAP4(96,135)
Name: C4 x ((C6 x C2) : C2)
Maximal quotients:GAP4(32,25) GAP4(48,35) GAP4(48,37) GAP4(48,43)
Real polynomial:
x^96-576*x^94+158004*x^92-27489888*x^90+3408557598*x^88-320887534176*x^86+23\
861175650640*x^84-1439607599485056*x^82+71839476356265045*x^80-3007884663617\
694048*x^78+106826198450285951208*x^76-3245571688191282251712*x^74+849150891\
62691387184026*x^72-1923210618031812768533856*x^70+3786122848336831615039750\
8*x^68-649926455547397472385331104*x^66+9751547145886918011581177754*x^64-12\
8106103102244389939013187840*x^62+1475174226925720190246831560620*x^60-14898\
809505551086561966970528160*x^58+131988537930298410637771019430006*x^56-1025\
258938863828535035279403707744*x^54+6977178780938386080689149145525736*x^52-\
41544341181792330337894293622700352*x^50+21605444816066715153110473342635326\
1*x^48-979165611180211547435831659899513504*x^46+385646412921837683526314841\
8779977960*x^44-13155898340485829411091795087541812672*x^42+3872084269475400\
6223209596575713490134*x^40-97873789497943564804628972367217378080*x^38+2113\
31376771451694688101805622098611100*x^36-38738904705969220797217140891957621\
2064*x^34+598553685915532698189142888944471804762*x^32-773082069929716051783\
933352888037971328*x^30+826659749552057632897329900040717670964*x^28-7236303\
24230367473739750198574565581920*x^26+51173125111051331884835697917870421004\
2*x^24-287782332145864388577419924815377991200*x^22+126286603213504594942789\
799044588411176*x^20-42256362213801053669677590072937836864*x^18+10477788421\
089249721084760686498610709*x^16-1857598347818606709348960898703659488*x^14+\
224991494019421874802304490468647152*x^12-1753315334739682733743022628336038\
4*x^10+805266813672260810747787058292862*x^8-1880996431298974634249116757712\
0*x^6+167521123670799394546768727172*x^4-9149178195220537427619744*x^2+12157\
665459056928801
Common denominator of the automorphisms:
7666377948866615883337985969491399888142014066822905750560899173743900004899\
9165184276264899847671339189669470425348000164122075935910283428321415112280\
5409224230373209814668044454089799232889582261204063676177034287808451400171\
52
Complex polynomial:
x^96-82908*x^72+37555281126*x^48-6715548*x^24+6561
Common denominator of the automorphisms:
253908875937024
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.