Group GAP4(100,5)

Name: C50 x C2
Maximal quotients:GAP4(20,5) GAP4(50,2)
Real polynomial:
x^100-200*x^98+19400*x^96-1216000*x^94+55366000*x^92-1951680640*x^90+5543603\
5200*x^88-1303896422400*x^86+25900768608000*x^84-440977188608000*x^82+650882\
3303854080*x^80-84036288621772800*x^78+955912783072665600*x^76-9635195160944\
640000*x^74+86460671527280640000*x^72-693312867211699814400*x^70+49831862330\
84092416000*x^68-32180576155820163072000*x^66+187065950824483061760000*x^64-\
980181824203139317760000*x^62+4633809573920341124710400*x^60-197753898633851\
80930048000*x^58+76197481221854788059136000*x^56-265034717293407958466560000\
*x^54+831720790453655238082560000*x^52-2352771772035299937454391296*x^50+599\
1986321711522706463129600*x^48-13716814958682085314999091200*x^46+2816845929\
0150706608078848000*x^44-51767581327795092400898048000*x^42+8489883337758265\
0095273246720*x^40-123835605487622986848115097600*x^38+160030203414932946473\
399091200*x^36-182395347174748041127133184000*x^34+1823953471686149620461731\
84000*x^32-159064777456821733006392688640*x^30+12012704535503487757021347840\
0*x^28-77920245241858387855854796800*x^26+42995040888465392287088640000*x^24\
-19952299161780168047984640000*x^22+7681631191625464279361126400*x^20-241340\
4854052152678547456000*x^18+606317402346646721789952000*x^16-118735293481634\
192424960000*x^14+17537394037488573480960000*x^12-1869320622853358773862400*\
x^10+135064940741864194048000*x^8-6001503900308340736000*x^6+137394973006888\
960000*x^4-1055531162664960000*x^2+1125899906842624
Common denominator of the automorphisms:
562949953421312
Complex polynomial:
x^100+100*x^98+4850*x^96+152000*x^94+3460375*x^92+60990020*x^90+866188050*x^\
88+10186690800*x^86+101174877375*x^84+861283571500*x^82+6356272757670*x^80+4\
1033344053600*x^78+233377144304850*x^76+1176171284295000*x^74+52771405961475\
00*x^72+21158229590200800*x^70+76037387589784125*x^68+245518311735688500*x^6\
6+713599971101696250*x^64+1869548462301520000*x^62+4419145177765217900*x^60+\
9429640704815474000*x^58+18166895204032609000*x^56+31594600354839320000*x^54\
+49574422267297222500*x^52+70118062854865191503*x^50+89287554051153700150*x^\
48+102198235382751266025*x^46+104935688116217801750*x^44+9642463424763659462\
5*x^42+79068200083060795530*x^40+57665447465899859950*x^38+37259935265158523\
450*x^36+21233613041083798875*x^34+10616806520184907250*x^32+462939431474141\
6980*x^30+1748078580640647525*x^28+566944401666539400*x^26+15641504756227875\
0*x^24+36293020751655000*x^22+6986402869757025*x^20+1097489463996750*x^18+13\
7860616256750*x^16+13498640041875*x^14+996885435000*x^12+53129287575*x^10+19\
19388250*x^8+42643250*x^6+488125*x^4+1875*x^2+1
Common denominator of the automorphisms:
1

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.