Group GAP4(64,48)

Name: C16 : C4
Maximal quotients:GAP4(32,14) GAP4(32,19)
Real polynomial:
x^64-336*x^62+52680*x^60-5130688*x^58+348584688*x^56-17587737312*x^54+684943\
848752*x^52-21126471081408*x^50+525444317093448*x^48-10673998302916032*x^46+\
178744566753943968*x^44-2483590319144834304*x^42+28759939668718503488*x^40-2\
78305119069995975040*x^38+2253153652710375644352*x^36-1525862063200641034419\
2*x^34+86307617284613552328720*x^32-406617136887995337033216*x^30+1589045675\
122728262185472*x^28-5122568730304098968186880*x^26+135249644057362195591480\
32*x^24-28986724753775653852188672*x^22+49877642766168567452725248*x^20-6799\
3410193855534182825984*x^18+72264852625956322106447872*x^16-5874902818336303\
9286820864*x^14+35714318860683883656609792*x^12-15798010175240443637530624*x\
^10+4913426374172497314742272*x^8-1025608557801219424518144*x^6+133947208203\
633360896000*x^4-9673391649435342077952*x^2+287015624691163398144
Common denominator of the automorphisms:
6249823001819983909570166692611217348160364853531497457319328903907619139344\
5529561245968572428245979236876086305230322588975104000
Complex polynomial:
x^64-112*x^62+9128*x^60-686784*x^58+50666140*x^56-1596461888*x^54+3507050265\
6*x^52-635551963424*x^50+10104425150442*x^48-132343757344960*x^46+1472788819\
534032*x^44-14411494811655424*x^42+126063760044234096*x^40-98100893138525580\
8*x^38+6869634801073840320*x^36-43648245409940107328*x^34+251508453183674913\
156*x^32-1305102859147382741824*x^30+6136153319826788459712*x^28-26091628484\
132177075200*x^26+99252916293261280265632*x^24-333913030838952917743104*x^22\
+1007781741383928760140416*x^20-2698926005802329936046848*x^18+6245898923633\
780308271080*x^16-12192878701030986384580224*x^14+20694329286716027032187328\
*x^12-27603935513695525367803392*x^10+22172274727166843282245536*x^8-5798221\
5775137251834880*x^6+151627983803622950400*x^4-396516395070432000*x^2+103355\
1771210000
Common denominator of the automorphisms:
1587411739140996058514948972384476230507067673552877532740081590010262733387\
525893038792080438176491598187771986842075000

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.