Group GAP4(64,29)

Name: (C16 x C2) : C2
Maximal quotients:GAP4(32,5) GAP4(32,16) GAP4(32,17)
Real polynomial:

x^64-128*x^62+7808*x^60-302080*x^58+8322304*x^56-173780992*x^54+2858397696*x\
^52-37997346816*x^50+415595980800*x^48-3788220334080*x^46+29043022561280*x^4\
4-188505655869440*x^42+1040406216048640*x^40-4896029251993600*x^38+196680489\
38008576*x^36-67433310644600832*x^34+197031704539839233*x^32-489250190005289\
024*x^30+1028134457509136192*x^28-1818174623830408704*x^26+26859398329672147\
20*x^24-3283807219624622080*x^22+3283809422991472640*x^20-264655779760765337\
6*x^18+1687209953083954176*x^16-830693465597837312*x^14+306154401283211264*x\
^12-81029365006860288*x^10+14561474185068544*x^8-1648187363295232*x^6+106761\
970253824*x^4-3425244807168*x^2+38453641216

Common denominator of the automorphisms:

44271285567488

Complex polynomial:

x^64+128*x^62+7808*x^60+302080*x^58+8322304*x^56+173780992*x^54+2858397696*x\
^52+37997346816*x^50+415595980800*x^48+3788220334080*x^46+29043022561280*x^4\
4+188505655869440*x^42+1040406216048640*x^40+4896029251993600*x^38+196680489\
38008576*x^36+67433310644600832*x^34+197031704539839233*x^32+489250190005289\
024*x^30+1028134457509136192*x^28+1818174623830408704*x^26+26859398329672147\
20*x^24+3283807219624622080*x^22+3283809422991472640*x^20+264655779760765337\
6*x^18+1687209953083954176*x^16+830693465597837312*x^14+306154401283211264*x\
^12+81029365006860288*x^10+14561474185068544*x^8+1648187363295232*x^6+106761\
970253824*x^4+3425244807168*x^2+38453641216

Common denominator of the automorphisms:

44271285567488

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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