Group GAP4(64,39)
Name: Q16 : C4
Maximal quotients:GAP4(32,9) GAP4(32,19) GAP4(32,20)
Real polynomial:
x^64-448*x^62+90944*x^60-11126528*x^58+920996160*x^56-54912137728*x^54+24521\
46755072*x^52-84210837100544*x^50+2266263187107360*x^48-48460429530515968*x^\
46+831939605982653952*x^44-11555319588485679104*x^42+130592945012690660864*x\
^40-1205647944899526840320*x^38+9114730478920129753088*x^36-5648606988522212\
3847680*x^34+286860622326094010597760*x^32-1191733586597103930003456*x^30+40\
36932542054306302291968*x^28-11094925687830773100920832*x^26+245669012836653\
36915587072*x^24-43410874417920197928255488*x^22+60445392709934742901522432*\
x^20-65213028203587017854550016*x^18+53303035231472245428815872*x^16-3201926\
1589602545981685760*x^14+13554688635881037759414272*x^12-3810486977202308517\
330944*x^10+652200416886565253840896*x^8-59624895120633806716928*x^6+2413172\
298292783218688*x^4-34847253404949938176*x^2+136122083613085696
Common denominator of the automorphisms:
1727099025600606554658670739840007336397910849481726591896399905781653338947\
843532607455232
Complex polynomial:
x^64+448*x^62+90944*x^60+11126528*x^58+920996160*x^56+54912137728*x^54+24521\
46755072*x^52+84210837100544*x^50+2266263187107360*x^48+48460429530515968*x^\
46+831939605982653952*x^44+11555319588485679104*x^42+130592945012690660864*x\
^40+1205647944899526840320*x^38+9114730478920129753088*x^36+5648606988522212\
3847680*x^34+286860622326094010597760*x^32+1191733586597103930003456*x^30+40\
36932542054306302291968*x^28+11094925687830773100920832*x^26+245669012836653\
36915587072*x^24+43410874417920197928255488*x^22+60445392709934742901522432*\
x^20+65213028203587017854550016*x^18+53303035231472245428815872*x^16+3201926\
1589602545981685760*x^14+13554688635881037759414272*x^12+3810486977202308517\
330944*x^10+652200416886565253840896*x^8+59624895120633806716928*x^6+2413172\
298292783218688*x^4+34847253404949938176*x^2+136122083613085696
Common denominator of the automorphisms:
1727099025600606554658670739840007336397910849481726591896399905781653338947\
843532607455232
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.