Group GAP4(96,155)
Name: (C2 x (C3 : C8)) : C2
Maximal quotients:GAP4(32,38) GAP4(48,42)
Real polynomial:
x^96-552*x^94+144936*x^92-24114792*x^90+2857748580*x^88-257047583976*x^86+18\
261781999992*x^84-1052892230755176*x^82+50234294458378962*x^80-2012394683844\
659160*x^78+68449334633950865400*x^76-1994130300820228214040*x^74+5010219166\
4833489825140*x^72-1091579727179435121783000*x^70+20712752107404031156752360\
*x^68-343472828284944471078731736*x^66+4990828803164664104320825887*x^64-636\
71283896795797642715792016*x^62+714192347276471890700744208912*x^60-70496273\
83652974859731511469840*x^58+61257573127318868721887328801864*x^56-468547022\
065966879358291401148688*x^54+3152833326537970322362972528375344*x^52-186446\
44667578772619094689027034128*x^50+96750503276864671891310930300052540*x^48-\
439660983430329960914392176322260912*x^46+1745139906685749970067663361302661\
744*x^44-6031326048622643526166135829889798192*x^42+180800792443203480092167\
11883765127304*x^40-46795454972103943746309376705951496880*x^38+104007515878\
393415981509844566930431312*x^36-197242352590957403124810388897078578864*x^3\
4+316760817664391006647716914683530668367*x^32-42696964092685501448716045349\
2630419144*x^30+478014659806788826694731054304100638280*x^28-439006749989361\
148310970629305974287880*x^26+325885239849469112587814184389997620820*x^24-1\
92086490778361829009809502631640785800*x^22+87966367717114733923769317637764\
633560*x^20-30452781292793598593883573344694933000*x^18+76870966882926368379\
96523297883810322*x^16-1345034911950666398863061316832931064*x^14+1510000254\
74602563677479281359324952*x^12-9545648230066338949362351284762424*x^10+2695\
41439076617600626247687759620*x^8-3479300998330069810214584199928*x^6+188151\
82299749464576380589896*x^4-26805612444825714017094648*x^2+55483972563521276\
42481
Common denominator of the automorphisms:
4456949584250605935203415937816345805607117877042019310558815695680211907449\
2376601124844067166003456516335155447254848732264850300779440682944485090813\
5732786311160475906276727279082071344863809915075250814753367586438847971592\
0621848031939426466466048812514467664363520000
Complex polynomial:
x^96-331303500000000*x^72+52767339134211533508300781250*x^48+197472274303436\
27929687500000000*x^24+3552713678800500929355621337890625
Common denominator of the automorphisms:
4171137719338322857242860663973260670900344848632812500000
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.