Group GAP4(64,180)
Name: (C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)
Maximal quotients:GAP4(32,35) GAP4(32,42)
Real polynomial:
x^64-1120*x^62+557480*x^60-165580800*x^58+33165537300*x^56-4792748604000*x^5\
4+521449188918000*x^52-43970193587460000*x^50+2933364077082626250*x^48-15715\
7398351766400000*x^46+6836325225392875275000*x^44-243376240305883429500000*x\
^42+7130503404277981889000000*x^40-172553067301563384222500000*x^38+34556999\
19526504510354375000*x^36-57301203948563535335025000000*x^34+785968466595317\
837726663671875*x^32-8897529940474479623718000000000*x^30+828256645211412868\
89731671875000*x^28-630756982236408860982154687500000*x^26+39032765704261255\
97902575000000000*x^24-19459616743953236754961082812500000*x^22+773210313980\
49636602684433984375000*x^20-241587941959688365232255203125000000*x^18+58360\
6359166882734510929100097656250*x^16-1066659136982052579010754570312500000*x\
^14+1433314629924446194588353769531250000*x^12-13603948927159346335291974609\
37500000*x^10+858059381555045722775705493164062500*x^8-323502147713748006298\
599609375000000*x^6+57787739413415617767681884765625000*x^4-1849305001076383\
318637695312500000*x^2+2694906899236957556304931640625
Common denominator of the automorphisms:
1995801544821799680884656926080435544530357068296783813154071902609777203585\
76818149649307247109727025080535528311182106812500000000000
Complex polynomial:
x^64+1120*x^62+557480*x^60+165580800*x^58+33165537300*x^56+4792748604000*x^5\
4+521449188918000*x^52+43970193587460000*x^50+2933364077082626250*x^48+15715\
7398351766400000*x^46+6836325225392875275000*x^44+243376240305883429500000*x\
^42+7130503404277981889000000*x^40+172553067301563384222500000*x^38+34556999\
19526504510354375000*x^36+57301203948563535335025000000*x^34+785968466595317\
837726663671875*x^32+8897529940474479623718000000000*x^30+828256645211412868\
89731671875000*x^28+630756982236408860982154687500000*x^26+39032765704261255\
97902575000000000*x^24+19459616743953236754961082812500000*x^22+773210313980\
49636602684433984375000*x^20+241587941959688365232255203125000000*x^18+58360\
6359166882734510929100097656250*x^16+1066659136982052579010754570312500000*x\
^14+1433314629924446194588353769531250000*x^12+13603948927159346335291974609\
37500000*x^10+858059381555045722775705493164062500*x^8+323502147713748006298\
599609375000000*x^6+57787739413415617767681884765625000*x^4+1849305001076383\
318637695312500000*x^2+2694906899236957556304931640625
Common denominator of the automorphisms:
1995801544821799680884656926080435544530357068296783813154071902609777203585\
76818149649307247109727025080535528311182106812500000000000
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.