Group GAP4(100,11)

Name: (C5 x C5) : C4
Maximal quotient:GAP4(20,3)
Real polynomial:
x^100-650*x^98+194195*x^96-35528750*x^94+4474395625*x^92-413365792200*x^90+2\
9152361825010*x^88-1612557657568500*x^86+71336775201118350*x^84-256086519725\
5581500*x^82+75439446036030505546*x^80-1839854270624983564000*x^78+374135873\
20617032736415*x^76-638075961197422011623750*x^74+9171402485670622076418525*\
x^72-111565477870788429084442050*x^70+1152719950824162957319670295*x^68-1014\
8359459605624660973122600*x^66+76342492858542448865402032100*x^64-4919466678\
71413425576058723000*x^62+2721483023924440281328485348916*x^60-1294963903299\
2799431367099973000*x^58+53085067687758956531951004568460*x^56-1877196085795\
81265454618047952000*x^54+573165398922580745106019925446575*x^52-15119289281\
61708257711039416706550*x^50+3446151663594240549681553571075805*x^48-6785233\
821976708747406148623844050*x^46+11531449230452679161390203944754375*x^44-16\
893305613772144060113896460223000*x^42+21291851230242450690656782452629026*x\
^40-23026874273901903627424600646486900*x^38+2129556242272698302777543802772\
2030*x^36-16768198363567247871628907322085500*x^34+1118073138434029721731872\
8290192650*x^32-6270915769750184925152135738071200*x^30+29342587464241884146\
63168644029265*x^28-1133984057906999187785144758537850*x^26+3575441988067405\
93788442007606675*x^24-90610767754915522139050685738750*x^22+181252582172897\
26716649127411161*x^20-2799957925674601402715350366200*x^18+3254406446498538\
59314266551400*x^16-27603926480096714095651620000*x^14+164867861816362553095\
9710000*x^12-66363959314606951380960000*x^10+1693705195357812138960000*x^8-2\
4746376377468563200000*x^6+166280305294116000000*x^4-221442232320000000*x^2+\
67947724800000
Common denominator of the automorphisms:
1576591693846064593778078923039452166191927926914879338020147252686885339983\
2175137241752653868286532670822134146672595451467711402042102187627032375728\
5732390353003512822924361291185172565384491730578849725319930208974889869536\
6916026449346311740185418180974856924520606070217009869507225247070413075693\
1406740762715763708454438928579932483538447511907384791028982928413893333130\
1224299889225166222496674045808090822662355447519240910378471461364661060014\
8463569496736651726858824536488704234138512136968601600000
Complex polynomial:
x^100+500*x^90+124016*x^80-13168000*x^70+1731108096*x^60+16691072000*x^50+53\
225312256*x^40+64237568000*x^30-56605343744*x^20+75530240000*x^10+3276800000
Common denominator of the automorphisms:
892783875762723649212907520000

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.