Group GAP4(96,209)

Name: C2 x D8 x S3
Maximal quotients:GAP4(32,46) GAP4(48,38) GAP4(48,51)
Real polynomial:
x^96-340*x^94+49376*x^92-4146640*x^90+228784315*x^88-8908520200*x^86+2563912\
06576*x^84-5633672044060*x^82+96804795094691*x^80-1325089815662960*x^78+1466\
1787529007216*x^76-132692126370026280*x^74+991773853500240436*x^72-617099200\
8854535920*x^70+32177798168523520880*x^68-141392618368625255440*x^66+5259965\
17075181889721*x^64-1663066495129391190220*x^62+4483402809775018892176*x^60-\
10333107900686543690080*x^58+20403959210609181467425*x^56-345777737213344737\
67600*x^54+50354435730910696020480*x^52-63070726228059899806020*x^50+6798278\
6758411054800230*x^48-63070726228059899806020*x^46+50354435730910696020480*x\
^44-34577773721334473767600*x^42+20403959210609181467425*x^40-10333107900686\
543690080*x^38+4483402809775018892176*x^36-1663066495129391190220*x^34+52599\
6517075181889721*x^32-141392618368625255440*x^30+32177798168523520880*x^28-6\
170992008854535920*x^26+991773853500240436*x^24-132692126370026280*x^22+1466\
1787529007216*x^20-1325089815662960*x^18+96804795094691*x^16-5633672044060*x\
^14+256391206576*x^12-8908520200*x^10+228784315*x^8-4146640*x^6+49376*x^4-34\
0*x^2+1
Common denominator of the automorphisms:
9400716370955316122671334661863248047001972484863957877347053229624445976614\
345915904000
Complex polynomial:
x^96+864*x^90+373248*x^84+9929952*x^78+133987932*x^72+823781664*x^66+2993075\
712*x^60+6796776096*x^54+15583096710*x^48+61170984864*x^42+242439132672*x^36\
+600536833056*x^30+879094821852*x^24+586353735648*x^18+198359290368*x^12+413\
2485216*x^6+43046721
Common denominator of the automorphisms:
69411615088539951753394176

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.