Group GAP4(96,29)

Name: C3 : (C4 . D8 = C4 . (C4 x C2))
Maximal quotients:GAP4(32,15) GAP4(48,12)
Real polynomial:
x^96-576*x^94+146880*x^92-22128768*x^90+2222070192*x^88-159235497216*x^86+85\
15660372416*x^84-350810274157056*x^82+11400278340166128*x^80-297693984895769\
088*x^78+6339610470301218432*x^76-111445070137364155392*x^74+163365522524364\
0337344*x^72-20140827459645089737728*x^70+210368970576944823912192*x^68-1873\
234084368196652783616*x^66+14296964686243530925292640*x^64-93959419149462193\
338470400*x^62+533815695158755147320605184*x^60-2630530325873136811202887680\
*x^58+11274637851001901898867536640*x^56-42126323190288616291723333632*x^54+\
137458653624914474005581063168*x^52-392224890724648472265359892480*x^50+9795\
49463500124227973496002304*x^48-2142090313153803954519978369024*x^46+4101734\
460634502331016575203328*x^44-6874061220054199219525385011200*x^42+100730560\
17761359726239833269248*x^40-12887488200670240771851724800000*x^38+143661185\
60858203751358677176320*x^36-13915405669673469030196970815488*x^34+116716676\
52455182955985116758272*x^32-8440431718251330135037645996032*x^30+5234198193\
701499568291602112512*x^28-2764994743908222645564884090880*x^26+123399301755\
9447510171105927168*x^24-460515134676261984137670426624*x^22+141867416537101\
225221726339072*x^20-35488739420735917677760217088*x^18+70568480961888437783\
31475968*x^16-1084320956089595755603427328*x^14+123866521204912664178327552*\
x^12-9961115549220855714152448*x^10+520759379189937190993920*x^8-15735959679\
693446184960*x^6+235120236963569860608*x^4-1579460446107205632*x^2+365615844\
0062976
Common denominator of the automorphisms:
7078209971617055720865520253070344682308923177340646988973131624730910915691\
1126165510943513926205442558852111579707486902139957121080563094187513524841\
6092686571888867729020140744962688640707567870132305938187125154397438846516\
2643304898011714872134579781632
Complex polynomial:
x^96+576*x^94+146880*x^92+22128768*x^90+2222070192*x^88+159235497216*x^86+85\
15660372416*x^84+350810274157056*x^82+11400278340166128*x^80+297693984895769\
088*x^78+6339610470301218432*x^76+111445070137364155392*x^74+163365522524364\
0337344*x^72+20140827459645089737728*x^70+210368970576944823912192*x^68+1873\
234084368196652783616*x^66+14296964686243530925292640*x^64+93959419149462193\
338470400*x^62+533815695158755147320605184*x^60+2630530325873136811202887680\
*x^58+11274637851001901898867536640*x^56+42126323190288616291723333632*x^54+\
137458653624914474005581063168*x^52+392224890724648472265359892480*x^50+9795\
49463500124227973496002304*x^48+2142090313153803954519978369024*x^46+4101734\
460634502331016575203328*x^44+6874061220054199219525385011200*x^42+100730560\
17761359726239833269248*x^40+12887488200670240771851724800000*x^38+143661185\
60858203751358677176320*x^36+13915405669673469030196970815488*x^34+116716676\
52455182955985116758272*x^32+8440431718251330135037645996032*x^30+5234198193\
701499568291602112512*x^28+2764994743908222645564884090880*x^26+123399301755\
9447510171105927168*x^24+460515134676261984137670426624*x^22+141867416537101\
225221726339072*x^20+35488739420735917677760217088*x^18+70568480961888437783\
31475968*x^16+1084320956089595755603427328*x^14+123866521204912664178327552*\
x^12+9961115549220855714152448*x^10+520759379189937190993920*x^8+15735959679\
693446184960*x^6+235120236963569860608*x^4+1579460446107205632*x^2+365615844\
0062976
Common denominator of the automorphisms:
7078209971617055720865520253070344682308923177340646988973131624730910915691\
1126165510943513926205442558852111579707486902139957121080563094187513524841\
6092686571888867729020140744962688640707567870132305938187125154397438846516\
2643304898011714872134579781632

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.