Group GAP4(64,158)

Name: Q8 : Q8
Maximal quotients:GAP4(32,29) GAP4(32,41) GAP4(32,43)
Real polynomial:
x^64-720*x^62+238320*x^60-48297600*x^58+6734620800*x^56-688447026000*x^54+53\
677131840000*x^52-3278521800180000*x^50+159864507419872500*x^48-630925509204\
1350000*x^46+203577743470160250000*x^44-5409915278884290000000*x^42+11901545\
5786104060000000*x^40-2174918209651988493750000*x^38+33076449706747309245000\
000*x^36-418831731194956225087500000*x^34+4412030418228535851283593750*x^32-\
38580402225132499257843750000*x^30+279028838211166030948031250000*x^28-16603\
38987268652959083750000000*x^26+8069828328794325750671250000000*x^24-3172694\
0703448513166233593750000*x^22+99597991959946768223081250000000*x^20-2453378\
16607827120381023437500000*x^18+463096921959680597726317382812500*x^16-64813\
6783381997611057675781250000*x^14+641779204781429369691855468750000*x^12-420\
065683713821670742968750000000*x^10+165147952071736294115625000000000*x^8-35\
070575313535032027832031250000*x^6+3702303150927004705078125000000*x^4-16088\
8761944683461914062500000*x^2+1230845640782751617431640625
Common denominator of the automorphisms:
3656272161104150184227175790447073831489344870488816195236103913614046219470\
37418161732361907632262577445179728280159437399194276076562500000000000
Complex polynomial:
x^64+720*x^62+238320*x^60+48297600*x^58+6734620800*x^56+688447026000*x^54+53\
677131840000*x^52+3278521800180000*x^50+159864507419872500*x^48+630925509204\
1350000*x^46+203577743470160250000*x^44+5409915278884290000000*x^42+11901545\
5786104060000000*x^40+2174918209651988493750000*x^38+33076449706747309245000\
000*x^36+418831731194956225087500000*x^34+4412030418228535851283593750*x^32+\
38580402225132499257843750000*x^30+279028838211166030948031250000*x^28+16603\
38987268652959083750000000*x^26+8069828328794325750671250000000*x^24+3172694\
0703448513166233593750000*x^22+99597991959946768223081250000000*x^20+2453378\
16607827120381023437500000*x^18+463096921959680597726317382812500*x^16+64813\
6783381997611057675781250000*x^14+641779204781429369691855468750000*x^12+420\
065683713821670742968750000000*x^10+165147952071736294115625000000000*x^8+35\
070575313535032027832031250000*x^6+3702303150927004705078125000000*x^4+16088\
8761944683461914062500000*x^2+1230845640782751617431640625
Common denominator of the automorphisms:
3656272161104150184227175790447073831489344870488816195236103913614046219470\
37418161732361907632262577445179728280159437399194276076562500000000000

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.