Group GAP4(64,55)
Name: C4 x C4 x C4
Maximal quotient:GAP4(32,21)
Real polynomial:
x^64-192*x^62+17568*x^60-1019520*x^58+42131665*x^56-1319649576*x^54+32558949\
612*x^52-649220961168*x^50+10651294047702*x^48-145632542817888*x^46+16747800\
27789456*x^44-16305494677390656*x^42+134991813082142381*x^40-952895369573823\
768*x^38+5741982288038904372*x^36-29531007823881774384*x^34+1294341589109590\
36598*x^32-482127276378689859648*x^30+1519891616266603039584*x^28-4032303699\
636875339136*x^26+8937314077179648212585*x^24-16396308984524577093000*x^22+2\
4610173001083669976380*x^20-29783550367732817245392*x^18+2853300526800198852\
8361*x^16-21137070927636187039152*x^14+11743965141626435197608*x^12-46972455\
46157395860768*x^10+1276154900584932677032*x^8-215277029691252421056*x^6+191\
83724312475517920*x^4-608522617753428096*x^2+570537365333776
Common denominator of the automorphisms:
165436779531714029457432576
Complex polynomial:
x^64+192*x^62+17568*x^60+1019520*x^58+42131665*x^56+1319649576*x^54+32558949\
612*x^52+649220961168*x^50+10651294047702*x^48+145632542817888*x^46+16747800\
27789456*x^44+16305494677390656*x^42+134991813082142381*x^40+952895369573823\
768*x^38+5741982288038904372*x^36+29531007823881774384*x^34+1294341589109590\
36598*x^32+482127276378689859648*x^30+1519891616266603039584*x^28+4032303699\
636875339136*x^26+8937314077179648212585*x^24+16396308984524577093000*x^22+2\
4610173001083669976380*x^20+29783550367732817245392*x^18+2853300526800198852\
8361*x^16+21137070927636187039152*x^14+11743965141626435197608*x^12+46972455\
46157395860768*x^10+1276154900584932677032*x^8+215277029691252421056*x^6+191\
83724312475517920*x^4+608522617753428096*x^2+570537365333776
Common denominator of the automorphisms:
165436779531714029457432576
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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