Group GAP4(96,41)

Name: ((C2 x (C3 : C4)) : C2) : C2
Maximal quotients:GAP4(32,6) GAP4(48,19)
Real polynomial:
x^96-1008*x^94+484176*x^92-147668192*x^90+32148408432*x^88-5324995140192*x^8\
6+698454389760400*x^84-74553156964857984*x^82+6604577962038351540*x^80-49280\
1368059800491328*x^78+31323322329397790941200*x^76-1711162185796608331665984\
*x^74+80910527338935875125531672*x^72-3330104558622017744444232384*x^70+1198\
42115324233297805957815248*x^68-3784605992436998375534904807616*x^66+1051764\
44469213588633207543909558*x^64-2577766697852256455256765563655264*x^62+5580\
6551717307514296231776294973872*x^60-1068330924266388282016505192186317440*x\
^58+18095007695593355400249176727876121032*x^56-2712059590741047821168704792\
89057620224*x^54+3595752147768961583265792266753534806128*x^52-4214064911533\
4294456343093711830200688064*x^50+436022745566038475843439075074924469083756\
*x^48-3976357815574008524283046766631590508208128*x^46+318922907494903100959\
91884745911267681252656*x^44-224352686835517110963323153212829355406381120*x\
^42+1379703935098059051359826845485263505198941768*x^40-73879841755216439934\
86846942487803482871031744*x^38+34284909916121783115112084484876910245162388\
080*x^36-137118914839741616941026207283882128175165653312*x^34+4695266614764\
68772510067229328868172226839576001*x^32-13659718415447106736521311475694788\
36461552660016*x^30+3345798041426635504388342539492998420151038978240*x^28-6\
826260955659731245957964276038927503257535898272*x^26+1145449505121254734694\
0807471742357015294663841608*x^24-155699404227714364064080758250952862842121\
70411680*x^22+16832255357978579551420058217173937236357430498240*x^20-141492\
40695266072288874363587681861866669025788608*x^18+89894051937422062704747812\
22366418022665154832600*x^16-41619108275234874247384093375969178864490898627\
20*x^14+1339146432176268479758454000830053311977055415552*x^12-2820829104901\
55842900591070647721768604357948288*x^10+36476627244931405280956076486431762\
374098564256*x^8-2773271012775185602131161462729813627684569984*x^6+11837630\
1752391331955203298034129017912613888*x^4-2576640663802071727389711844786182\
164354304*x^2+21936147885621562854483956200552128890896
Common denominator of the automorphisms:
3481655467802937222191737823553363605623415238513723714367369869335874001225\
1581323491809234782501821147517723880971688933988059184564321978272392749011\
6818992808224126709698630982409140124997538961105084248189910054586956929827\
9241541238960242078952960791624373182791609455288465118986499762793626992640\
00
Complex polynomial:
x^96+28800*x^92+162216000*x^88-114321920000*x^84-1464039108000000*x^80-12069\
25814400000000*x^76+5123054172939200000000*x^72+7067825025350400000000000*x^\
68-1435610391972915600000000000*x^64-5990141316060087424000000000000*x^60-17\
80806919191595905600000000000000*x^56+1629060029490870331392000000000000000*\
x^52+1005348329524205750887520000000000000000*x^48+1867884519767506725024000\
00000000000000000*x^44+13824915940371795135842880000000000000000000*x^40+397\
009305185860677600204800000000000000000000*x^36+2499980999972663564968680000\
000000000000000000*x^32-20684101995608164960665600000000000000000000000*x^28\
-280586828601360367091712000000000000000000000000*x^24-306021055483914013900\
800000000000000000000000000*x^20+8210176842665646096384000000000000000000000\
000000*x^16+38816339670458129448960000000000000000000000000000*x^12+57775467\
957722284032000000000000000000000000000000*x^8+20874184272862248960000000000\
000000000000000000000*x^4+450359962737049600000000000000000000000000000000
Common denominator of the automorphisms:
1110805663703411127620328212984729986670057690721988684940915547621548918823\
6126289280438817971509770085624760562487990757750755976150134310129073873089\
3010102930119220778202399890114403763734066425352938209352782593936416159414\
03934720000000000000000000000000000000

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.