Group GAP4(64,181)
Name: C8 : Q8
Maximal quotients:GAP4(32,35) GAP4(32,39) GAP4(32,41)
Real polynomial:
x^64-312*x^62+41448*x^60-3173760*x^58+158907662*x^56-5576609592*x^54+1433110\
13760*x^52-2779078921032*x^50+41554051231939*x^48-486809640321624*x^46+45219\
23024751072*x^44-33600325219377624*x^42+200990517683970734*x^40-972008859163\
797408*x^38+3809742565074383112*x^36-12112051750750872648*x^34+3121359145578\
6696673*x^32-65062060575634126512*x^30+109277980249210409184*x^28-1470749235\
66828998592*x^26+157393842056199510560*x^24-132539380672278023424*x^22+86606\
048669335137792*x^20-43102141796879115264*x^18+15933280217727701248*x^16-422\
7821828568047616*x^14+767725265238196224*x^12-89022958984101888*x^10+5926087\
613874176*x^8-191278035763200*x^6+2512077717504*x^4-12582912000*x^2+16777216
Common denominator of the automorphisms:
1870803447835685104586448401674564692441507724104334799372998672070027143840\
36918143743798545866170506096390348328442126013562880000
Complex polynomial:
x^64+312*x^62+41448*x^60+3173760*x^58+158907662*x^56+5576609592*x^54+1433110\
13760*x^52+2779078921032*x^50+41554051231939*x^48+486809640321624*x^46+45219\
23024751072*x^44+33600325219377624*x^42+200990517683970734*x^40+972008859163\
797408*x^38+3809742565074383112*x^36+12112051750750872648*x^34+3121359145578\
6696673*x^32+65062060575634126512*x^30+109277980249210409184*x^28+1470749235\
66828998592*x^26+157393842056199510560*x^24+132539380672278023424*x^22+86606\
048669335137792*x^20+43102141796879115264*x^18+15933280217727701248*x^16+422\
7821828568047616*x^14+767725265238196224*x^12+89022958984101888*x^10+5926087\
613874176*x^8+191278035763200*x^6+2512077717504*x^4+12582912000*x^2+16777216
Common denominator of the automorphisms:
1870803447835685104586448401674564692441507724104334799372998672070027143840\
36918143743798545866170506096390348328442126013562880000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.