Group GAP4(76,3)

Name: D76
Maximal quotients:GAP4(4,2) GAP4(38,1)
Real polynomial:
x^76-1116*x^74+588380*x^72-195176640*x^70+45770809008*x^68-8083215728448*x^6\
6+1118175138201792*x^64-124427033589278720*x^62+11350446848663426048*x^60-86\
0682808672901330944*x^58+54819416413267206545408*x^56-2956069724786505950543\
872*x^54+135760422684622421063323648*x^52-5333784740623604038306938880*x^50+\
179838396499985966218146430976*x^48-5214726585742406062418638929920*x^46+130\
194290743102257339678444486656*x^44-2799620474947062698248752216932352*x^42+\
51824400221467591964812505670221824*x^40-82476379359803225450395280035597516\
8*x^38+11260616141257981186104803640002740224*x^36-1315031166073649365273685\
32309179367424*x^34+1308437980503067328236414238211604217856*x^32-1103754344\
2664646740291231672992077447168*x^30+784616160617888111985288027412516474716\
16*x^28-466562634834474728333456513740946785959936*x^26+23003447008385638061\
69019077942821527748608*x^24-9305378394323136673463295421658573054148608*x^2\
2+30500822281076836271848227179137690385776640*x^20-798187225181292382423368\
42422796487690813440*x^18+163862318634806129858568388790385673481748480*x^16\
-258368140263709748692039224235092518023200768*x^14+304807359746686116855786\
838456124402365890560*x^12-260156499790332452890793560072975604066025472*x^1\
0+153472714766830362833614773977801425072160768*x^8-585494243684436674979679\
84700595640316461056*x^6+12983248143783419663764082630304680902656000*x^4-13\
66147253225724868452594386507879080263680*x^2+378877652110724798325930888747\
59581597696
Common denominator of the automorphisms:
2015648711836779914543600921030117178305001538183602213089462041565343867732\
7647796119831169988772321984790791294803822076118276847780614321605654653981\
1418670946111505954281090366221011131467848426333336022041422346186616032458\
9507332927275936803323476075858164992813623701755920384
Complex polynomial:
x^76-41*x^74+803*x^72-10002*x^70+88833*x^68-597035*x^66+3143733*x^64-1325717\
2*x^62+45500627*x^60-129315087*x^58+313329731*x^56-683945993*x^54+1456409331\
*x^52-3187455254*x^50+6958648450*x^48-14076886444*x^46+24967550142*x^44-3784\
7592877*x^42+48626589937*x^40-52864388725*x^38+48626589937*x^36-37847592877*\
x^34+24967550142*x^32-14076886444*x^30+6958648450*x^28-3187455254*x^26+14564\
09331*x^24-683945993*x^22+313329731*x^20-129315087*x^18+45500627*x^16-132571\
72*x^14+3143733*x^12-597035*x^10+88833*x^8-10002*x^6+803*x^4-41*x^2+1
Common denominator of the automorphisms:
2729587815597760950871122815819

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.