Group GAP4(96,197)

Name: D8 x A4
Maximal quotients:GAP4(24,10) GAP4(48,49)
Real polynomial:
x^96-684*x^94+195480*x^92-30922452*x^90+3057629017*x^88-204202478520*x^86+97\
13824355520*x^84-341738400562404*x^82+9136966742859780*x^80-1894507387031539\
44*x^78+3093454493976348240*x^76-40255281836376435324*x^74+42145967330389223\
5250*x^72-3577792507850989056960*x^70+24787801805698593037032*x^68-140953239\
273237010506552*x^66+661119960325734367637580*x^64-2568965157810703546391784\
*x^62+8301958184071990537614216*x^60-22386445438021918883754600*x^58+5050899\
8819082237376252120*x^56-95560841492475586473493980*x^54+1518503401096976619\
74719200*x^52-202872317419081042962182400*x^50+227983016287390715499513305*x\
^48-215486218033120837592349840*x^46+171203138155563023959563960*x^44-114209\
189064684123505449060*x^42+63870883609647802078763880*x^40-29883605535039288\
966478740*x^38+11668329597221602671204216*x^36-3790911166193730067138824*x^3\
4+1021251425662601243500610*x^32-227209159048797944426652*x^30+4155157816390\
1878420872*x^28-6212098189678595427720*x^26+754352372230451305995*x^24-73834\
392524815863864*x^22+5771369585938965480*x^20-356249831496118284*x^18+171268\
47317094075*x^16-630293131947204*x^14+17370561255600*x^12-348418565520*x^10+\
4895540067*x^8-45671772*x^6+261240*x^4-804*x^2+1
Common denominator of the automorphisms:
7445179810231360259765229274632275083811315235862734455390106328375614170381\
2676273411081487425429590633048288178748658625732441746495723671588586688200\
7988737711066488656219511513263482226507464372415319390471148891255374861081\
74829336865321529214620000000
Complex polynomial:
x^96+192*x^92-18016*x^88+69888*x^84+1990080*x^80+342630144*x^76+7781811968*x\
^72+107803385856*x^68+753837104640*x^64+774905081856*x^60-9782447853568*x^56\
-8310184132608*x^52+62647102676992*x^48-9898221305856*x^44-94801907482624*x^\
40+9420761726976*x^36+9162999005184*x^32+51672627806208*x^28+26967275470848*\
x^24+10261251489792*x^20+1437151002624*x^16-17867735040*x^12-8204058624*x^8+\
201326592*x^4+16777216
Common denominator of the automorphisms:
8505073732941299860527025904370183446856926118943245529820589770015408952926\
38234378507044310686535516160

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.