Group GAP4(96,171)

Name: C3 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,31) GAP4(48,45) GAP4(48,47)
Real polynomial:
x^96-600*x^94+170160*x^92-30415400*x^90+3854310900*x^88-369226167000*x^86+27\
837310798000*x^84-1697778965025000*x^82+85435183391861250*x^80-3599951794009\
625000*x^78+128456554278104850000*x^76-3915782466158418375000*x^74+102674786\
836543320062500*x^72-2328260951543082380625000*x^70+458509292282271321412500\
00*x^68-786713302338117510434375000*x^66+11789164818792720545705859375*x^64-\
154555905942376691886843750000*x^62+1774553493362171489363687500000*x^60-178\
53009132341229116742656250000*x^58+157377252860437512549005390625000*x^56-12\
14937437978547021417389843750000*x^54+8205627962909693286022354687500000*x^5\
2-48414425048005485238224878906250000*x^50+249055489490362835758181022460937\
500*x^48-1114346030961414182121814394531250000*x^46+432390354519665884459863\
6914062500000*x^44-14500098990034960941418551855468750000*x^42+4185830263976\
5704894465741650390625000*x^40-103549139479555639127273711425781250000*x^38+\
218403854499279120027288125976562500000*x^36-3905449963257430593835974096679\
68750000*x^34+588410869474700561853289850921630859375*x^32-74190168747179469\
5853662567138671875000*x^30+777100807415550316524186071777343750000*x^28-670\
834749050128681711943389892578125000*x^26+4731345003112960624178083648681640\
62500*x^24-270018048153126064113845672607421875000*x^22+12333285630992996957\
0596618652343750000*x^20-44514004505983497176172637939453125000*x^18+1250367\
1756940150512661933898925781250*x^16-2683358930004631613697052001953125000*x\
^14+430047100169465619850158691406250000*x^12-500047764326913151359558105468\
75000*x^10+4058825538478006181716918945312500*x^8-21710579176966981887817382\
8125000*x^6+6917801400585365295410156250000*x^4-1046311801829338073730468750\
00*x^2+276009225904941558837890625
Common denominator of the automorphisms:
1225893369349063334478333500296892814634177774935510029456904709735314037251\
9966194647476824419518288885242807469570429527382873686575176399440901752449\
1415183472672744048751753951077485981309030022604618512607141805222622976712\
00000000000000000000000
Complex polynomial:
x^96-24*x^93+364*x^90-1544*x^87-3864*x^84+116920*x^81+386852*x^78-3056328*x^\
75+63156272*x^72+314217368*x^69-2123371656*x^66+11807494016*x^63+71052587348\
*x^60-324218621664*x^57+216661361264*x^54+4327491277520*x^51-3191960246769*x\
^48-13151557661968*x^45+40703405586560*x^42-50108395651632*x^39+384084324269\
24*x^36-18423400995328*x^33+6091299109080*x^30-530771952448*x^27-12390620411\
2*x^24+53237188296*x^21+7170553940*x^18-1459405952*x^15+94642008*x^12-347914\
4*x^9+123124*x^6-672*x^3+1
Common denominator of the automorphisms:
3223442923891377172165831329137977642122139529892728129499052412373853621896\
63431197336133150426884780402237249911856202015766764035650707869857648483

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.