Group GAP4(96,105)
Name: (C3 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,33) GAP4(48,37) GAP4(48,39) GAP4(48,41)
Real polynomial:
x^96-360*x^94+61200*x^92-6544560*x^90+494786610*x^88-28180278600*x^86+125810\
4484800*x^84-45233573677800*x^82+1335340132537125*x^80-32837485511785800*x^7\
8+680094386927236800*x^76-11964369105033663000*x^74+179980229244343540150*x^\
72-2327241754014915360000*x^70+25972190879509022022000*x^68-2509504120232792\
97933000*x^66+2104274709529037172638250*x^64-15338664009495120201345000*x^62\
+97303961075746816918962000*x^60-537528567895081536775380000*x^58+2586295939\
456787771754776250*x^56-10835910108803659617282135000*x^54+39510401958923004\
588328200000*x^52-125262646129968115294705425000*x^50+3448805291620269652999\
97518125*x^48-823382756724382558197080175000*x^46+17015784385436865216264240\
00000*x^44-3037634090388633375670361025000*x^42+4673614126022232513189476756\
250*x^40-6181365853124611538629789500000*x^38+700777978162172141152812795000\
0*x^36-6788057451021993741709653375000*x^34+5597793100625612249174944406250*\
x^32-3914125283887975769249683875000*x^30+2309957255944464324744719250000*x^\
28-1144573392511945486228950000000*x^26+473283588742832581590227593750*x^24-\
162168106552147386925805625000*x^22+45660887058648920796360000000*x^20-10459\
260811580342519941875000*x^18+1925383067819478170891953125*x^16-280526235169\
822499409375000*x^14+31727899556364024675000000*x^12-27156978599922138468750\
00*x^10+169933363302102682031250*x^8-7396998008762681250000*x^6+207236813177\
418750000*x^4-3250573102359375000*x^2+20563739250390625
Common denominator of the automorphisms:
9511964856559588955631935189156611081001838317882762313810588106489376970297\
4495610659470117121592436155648090931996020519926205004339692604003353537476\
3997605081990929329876525890238719719659918088479268861429213287360898098402\
3647418509896110537497724824713952919504165517375125898807214300859224780496\
540800000000
Complex polynomial:
x^96+1440*x^90+785172*x^84+136256040*x^78-13340348568*x^72-2859842562624*x^6\
6+477851941547316*x^60-22942451283101064*x^54+425557021969770606*x^48+278071\
5908569807296*x^42+11981939829289520076*x^36-2196876433963790952*x^30+542091\
0360893917032*x^24-79942332497033952*x^18+1147543448716332*x^12-225323756402\
4*x^6+3486784401
Common denominator of the automorphisms:
2719517588398890870841506751246000361748020105024860585086687263496238584507\
24157536
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.