Group GAP4(64,25)

Name: (C8 x C2) : C4
Maximal quotient:GAP4(32,2)
Real polynomial:
x^64-544*x^62+116144*x^60-13372608*x^58+951330880*x^56-45080185200*x^54+1491\
640160960*x^52-35592824515104*x^50+626979955731809*x^48-8299890782045088*x^4\
6+83730292539127680*x^44-650903333395345872*x^42+3933912721667225664*x^40-18\
613021836799947072*x^38+69301182482811369744*x^36-203764739784411130272*x^34\
+474059105206793774880*x^32-873059987003170390304*x^30+127151460406994414888\
0*x^28-1460842764794166100544*x^26+1318916018582066547776*x^24-9308063401359\
02489232*x^22+509965947849989725056*x^20-215017000408149305888*x^18+69000884\
610881054273*x^16-16615322683454683552*x^14+2946031636960976576*x^12-3747473\
99984877872*x^10+32941831098389568*x^8-1890709296808640*x^6+64623416933424*x\
^4-1116121190560*x^2+6975757441
Common denominator of the automorphisms:
5126556560737869657394045611326868154391674174156946549792524377881134052521\
3094707669595971614291685760283168
Complex polynomial:
x^64+544*x^62+116144*x^60+13372608*x^58+951330880*x^56+45080185200*x^54+1491\
640160960*x^52+35592824515104*x^50+626979955731809*x^48+8299890782045088*x^4\
6+83730292539127680*x^44+650903333395345872*x^42+3933912721667225664*x^40+18\
613021836799947072*x^38+69301182482811369744*x^36+203764739784411130272*x^34\
+474059105206793774880*x^32+873059987003170390304*x^30+127151460406994414888\
0*x^28+1460842764794166100544*x^26+1318916018582066547776*x^24+9308063401359\
02489232*x^22+509965947849989725056*x^20+215017000408149305888*x^18+69000884\
610881054273*x^16+16615322683454683552*x^14+2946031636960976576*x^12+3747473\
99984877872*x^10+32941831098389568*x^8+1890709296808640*x^6+64623416933424*x\
^4+1116121190560*x^2+6975757441
Common denominator of the automorphisms:
5126556560737869657394045611326868154391674174156946549792524377881134052521\
3094707669595971614291685760283168

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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