Group GAP4(64,249)

Name: (C2 x (C8 : C2)) : C2
Maximal quotient:GAP4(32,45)
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+415595981327*x^48-3788220384672*x^46+29043024837920*x^4\
4-188505719682816*x^42+1040407464760384*x^40-4896047372833792*x^38+196682511\
43574528*x^36-67435086108106752*x^34+197044154977617121*x^32-489320565126019\
136*x^30+1028456701393329984*x^28-1819371754446306816*x^26+26895422934453715\
20*x^24-3292548011169658880*x^22+3300776142366423040*x^20-267260478893075660\
8*x^18+1718335245108400640*x^16-859022597850546176*x^14+325217599237210112*x\
^12-90126494286086144*x^10+17458778883653632*x^8-2208964773675008*x^6+163310\
756954112*x^4-5740093767680*x^2+66720956416

Common denominator of the automorphisms:

108550724360601600

Complex polynomial:

x^64+9118*x^48+39843*x^32+9118*x^16+1

Common denominator of the automorphisms:

11903472

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