Group GAP4(64,70)
Name: (C4 : C4) : C4
Maximal quotients:GAP4(32,23) GAP4(32,25) GAP4(32,26) GAP4(32,28) GAP4(32,29) GAP4(32,32) GAP4(32,35)
Real polynomial:
x^64-192*x^62+17008*x^60-925568*x^58+34756672*x^56-958969216*x^54+2021082800\
0*x^52-333940129920*x^50+4405276624784*x^48-47009932442368*x^46+409679743014\
976*x^44-2935601454632448*x^42+17377588718574336*x^40-85232696340882944*x^38\
+346876616622789760*x^36-1171459284011173376*x^34+3278894047452557920*x^32-7\
587152863732347904*x^30+14457959669497900288*x^28-22569514945489438720*x^26+\
28665559929474567168*x^24-29369671015974512640*x^22+24018279397314910720*x^2\
0-15476038594598279168*x^18+7733278070728763648*x^16-2938755927406497792*x^1\
4+828784919854435328*x^12-168118589539033088*x^10+23531793710288896*x^8-2141\
313071816704*x^6+114468416051200*x^4-2867479191552*x^2+12404613376
Common denominator of the automorphisms:
2099391575728078436669832811239399751381353625162705257860601003295937396736
Complex polynomial:
x^64+192*x^62+17008*x^60+925568*x^58+34756672*x^56+958969216*x^54+2021082800\
0*x^52+333940129920*x^50+4405276624784*x^48+47009932442368*x^46+409679743014\
976*x^44+2935601454632448*x^42+17377588718574336*x^40+85232696340882944*x^38\
+346876616622789760*x^36+1171459284011173376*x^34+3278894047452557920*x^32+7\
587152863732347904*x^30+14457959669497900288*x^28+22569514945489438720*x^26+\
28665559929474567168*x^24+29369671015974512640*x^22+24018279397314910720*x^2\
0+15476038594598279168*x^18+7733278070728763648*x^16+2938755927406497792*x^1\
4+828784919854435328*x^12+168118589539033088*x^10+23531793710288896*x^8+2141\
313071816704*x^6+114468416051200*x^4+2867479191552*x^2+12404613376
Common denominator of the automorphisms:
2099391575728078436669832811239399751381353625162705257860601003295937396736
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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