Group GAP4(96,159)

Name: C2 x ((C2 x (C3 : C4)) : C2)
Maximal quotients:GAP4(32,22) GAP4(48,19) GAP4(48,42) GAP4(48,43)
Real polynomial:
x^96-867*x^94+300192*x^92-55911759*x^90+6347820561*x^88-473138330568*x^86+24\
408614940042*x^84-907449323660391*x^82+25086496783323363*x^80-52848323982187\
9374*x^78+8648806482685945461*x^76-111643378247247021261*x^74+11506383292703\
47228763*x^72-9561234152182735954131*x^70+64564492928504764836543*x^68-35660\
5789669746605654424*x^66+1619653938930210402618369*x^64-60763332628306675647\
52689*x^62+18901512855642229652520741*x^60-48910329697853676017804775*x^58+1\
05577213983453864962460819*x^56-190567013801058823407415896*x^54+28821059736\
3529994135970711*x^52-365818974239672864550949413*x^50+390166479891573526742\
209201*x^48-349950013656595975052381985*x^46+264044045846055244040817471*x^4\
4-167565580114466923731982800*x^42+89376038998604099291769651*x^40-400151771\
93041290627458115*x^38+15009556253920715485758477*x^36-470475247849359624003\
8613*x^34+1228320677351683874295321*x^32-266038018214719892804592*x^30+47569\
311994877120650839*x^28-6981774431855638152567*x^26+835475412884174136611*x^\
24-80875396572620870505*x^22+6275270294015993589*x^20-386107212867685974*x^1\
8+18598378940506995*x^16-690459916072563*x^14+19369248335346*x^12-3999890105\
76*x^10+5862115329*x^8-57702267*x^6+347928*x^4-1071*x^2+1
Common denominator of the automorphisms:
1413396271992716520244124011960635411165711737964496917128896404489051274787\
9153541517315525629390189852661326648997622523809865631736783961939601234801\
0261564728948511212428856827164192702865005842803977029974911638278400
Complex polynomial:
x^96-1232*x^84+1892608*x^72-1619021824*x^60+1723040071680*x^48+1749076777369\
6*x^36+81230716469248*x^24+223200860438528*x^12+281474976710656
Common denominator of the automorphisms:
33922047312477550041598473011200

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.