Group GAP4(68,4)

Name: D68
Maximal quotients:GAP4(4,2) GAP4(34,1)
Real polynomial:
x^68-1506*x^66+1053819*x^64-456548292*x^62+137635631649*x^60-30761491797918*\
x^58+5301820173431403*x^56-723604604608984392*x^54+79684915056026989491*x^52\
-7177455190836498303774*x^50+534134278168337164088889*x^48-33084996490960812\
645067044*x^46+1714879364098052021266775043*x^44-746538702266589188284341030\
42*x^42+2735670842463606396449148902673*x^40-8446846483063794386639920975272\
0*x^38+2197141837803843184200959078607144*x^36-48080178811471703836778435264\
220576*x^34+882909143115818084559988614538569936*x^32-1355358093740282099976\
5604455603168256*x^30+173025529603256224254147130688224186368*x^28-182431359\
7473212577996586498185270617088*x^26+157463356302327495698591281167682892067\
84*x^24-110014286915408875669622237890759910645760*x^22+61329449929080208767\
2708700259854458597376*x^20-2678437583677541202120878054496512416432128*x^18\
+8951862823010402292862609430019513188229120*x^16-22222838978134917332494981\
838201994165092352*x^14+39474831506762457929622520261221590478422016*x^12-47\
991793247758880532755466472590134960848896*x^10+3800813645788344206836189983\
9863482125975552*x^8-18412192676094707058856260978523573570240512*x^6+493647\
6607673388406183655908556673573715968*x^4-6072520986618771721044954120751585\
94125824*x^2+24462085180351051572322098037317625184256
Common denominator of the automorphisms:
4962430018001008454237901354862190858248996264978415148215682183564116989107\
2805928944761048224895124180636317611082319634185983305727637403515791283700\
716908532117161678434337701308657781387925792299497811869696
Complex polynomial:
x^68-36*x^66+634*x^64-7256*x^62+60787*x^60-398772*x^58+2139798*x^56-9672002*\
x^54+37557333*x^52-126898602*x^50+375203946*x^48-968273310*x^46+2166158970*x\
^44-4181455125*x^42+6954862449*x^40-9974773713*x^38+12370612332*x^36-1328108\
4243*x^34+12370612332*x^32-9974773713*x^30+6954862449*x^28-4181455125*x^26+2\
166158970*x^24-968273310*x^22+375203946*x^20-126898602*x^18+37557333*x^16-96\
72002*x^14+2139798*x^12-398772*x^10+60787*x^8-7256*x^6+634*x^4-36*x^2+1
Common denominator of the automorphisms:
381922643146468991203690625

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.