Group GAP4(96,5)

Name: C48 : C2
Maximal quotients:GAP4(32,17) GAP4(48,4)
Real polynomial:
x^96-480*x^94+109824*x^92-15952704*x^90+1653138288*x^88-130205869632*x^86+81\
09270805968*x^84-410228327378304*x^82+17183752021078056*x^80-604604368521907\
776*x^78+18064447309303541424*x^76-462229387055248233600*x^74+10196668486524\
159295416*x^72-194942571541083637391232*x^70+3243409932372658983373968*x^68-\
47114498365772459686424064*x^66+599039662422818720398045050*x^64-66792343175\
28893267290437696*x^62+65397295011150994996624663152*x^60-562790441716020923\
170395226752*x^58+4258943974690255979949366296712*x^56-283452051363502957023\
87882377856*x^54+165876921454205577190911143874192*x^52-85307557950280701639\
5721611452416*x^50+3852259465331038527098663057527068*x^48-15256931273844805\
079213669499009024*x^46+52917974721437589252655867919387952*x^44-16045092851\
1478875244411244682488064*x^42+424376778301211886521403287319472152*x^40-976\
639938467854982918370618944192256*x^38+1949900931228235565411159985776451888\
*x^36-3365921192895400420381228481131358976*x^34+500374474928906156866656702\
7522191657*x^32-6376840439055650049098981910297857760*x^30+69301514377380212\
37149558792798921040*x^28-6383305762184493641592549080516897856*x^26+4947798\
367878558353365290249698198856*x^24-3200396566572252735054298129786123584*x^\
22+1710498264397774828794713288327872608*x^20-746516796249010691344796795765\
916288*x^18+262272689037954170047422060810276132*x^16-7288231914809232192608\
7047013247680*x^14+15666261943706847684834009716003040*x^12-2529189454101874\
741937215448304768*x^10+294181073847607007874247354925424*x^8-23110254978867\
561861122575093632*x^6+1090653785811172155016448669952*x^4-23226274741613201\
964128302848*x^2+362945379150072246883716
Common denominator of the automorphisms:
2986081329820729282767226235911388791303712145130318860019284090120309758934\
1875055807661161242303567648396714338979256763189100239790974336820652525540\
5634938505531180516033528803243797460791439238421770029012428621847985367036\
3030262176670543025387573189055346415066501774993260069294276179515315245562\
413023232
Complex polynomial:
x^96+496*x^88+92992*x^80+8855120*x^72+591968641*x^64+7815434880*x^56+4984279\
0400*x^48+94444943360*x^40+94585323776*x^32-28297461760*x^24+2042626048*x^16\
-50331648*x^8+16777216
Common denominator of the automorphisms:
138820279599250970147033980112828869157191268572332032

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.