Group GAP4(96,81)

Name: (C12 x C4) : C2
Maximal quotients:GAP4(32,34) GAP4(48,36)
Real polynomial:
x^96-672*x^94+214584*x^92-43378272*x^90+6240006600*x^88-680756224704*x^86+58\
618640805792*x^84-4094055592535040*x^82+236530904533379952*x^80-114722650689\
25389056*x^78+472483260309608911872*x^76-16672413511086289758720*x^74+507693\
083258997505103616*x^72-13418626647206747948673024*x^70+30928239249636571226\
4112128*x^68-6240097842096028337555374080*x^66+11054600783477286794242932096\
0*x^64-1723701482660505523875149316096*x^62+23700696553614833693673780590592\
*x^60-287766285756271481172798904983552*x^58+3088190083456972892918599927105\
536*x^56-29307459144183826639324713463922688*x^54+24598853096171965612356314\
8936617984*x^52-1825572573560461980077362140794781696*x^50+11971528170340652\
995215421487144374272*x^48-69297352359521802021180396399722692608*x^46+35357\
1243987347148990713411220878721024*x^44-158717564464770761847522890742723470\
9504*x^42+6254045834257279518888018495553558413312*x^40-21571236154989718102\
176759347544800624640*x^38+64912091329394342427542896779123827146752*x^36-16\
9751522244840959418997988616662569451520*x^34+384015408455166135714372267698\
000766173184*x^32-747490179840752805163895886022589169008640*x^30+1244142155\
595755717399914938257717512372224*x^28-1757796223089561428654089757902065949\
999104*x^26+2090147719526932140265909930464465708384256*x^24-207062912900704\
8123592434044261476306255872*x^22+168859880103686067014582848622572724237107\
2*x^20-1117373285371117410503997065904150489858048*x^18+58958974656218214218\
7767676950103629758464*x^16-242825929574990767412096488788208901947392*x^14+\
76000852175559536706520541453894629195776*x^12-17464065089693619312873508941\
530853801984*x^10+2811670557459836150346031805268133675008*x^8-2960405336685\
56891502871869541356404736*x^6+18168070447423242429642352572009283584*x^4-51\
5091996472518903925444307878674432*x^2+3498329540593343143310473681698816
Common denominator of the automorphisms:
1585836083496618201807653894732623248589736043038997771243524465546708366837\
6590790538273734687129108898040409793944801108119700994102203776230617819599\
8825303377944687025027626240228492527912764413650487388855955718070826987071\
9214555469185024000000000
Complex polynomial:
x^96-320*x^90+75588*x^84-2168416*x^78+67278320*x^72-879167136*x^66+110908859\
80*x^60-10219584320*x^54+30792407022*x^48-10219584320*x^42+11090885980*x^36-\
879167136*x^30+67278320*x^24-2168416*x^18+75588*x^12-320*x^6+1
Common denominator of the automorphisms:
8815870405281517995705051456

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.