Group GAP4(52,3)

Name: C13 : C4
Maximal quotient:GAP4(4,1)
Real polynomial:
x^52-676*x^50+204490*x^48-36845718*x^46+4439833307*x^44-380717657645*x^42+24\
131234481159*x^40-1158813625187491*x^38+42855751951503127*x^36-1233552045267\
985677*x^34+27805632135284649659*x^32-492043197754031118221*x^30+68289555497\
08636283407*x^28-74005436680567594844369*x^26+621070183180551468972764*x^24-\
3984978124608813100301130*x^22+19192705101018455322990037*x^20-6764722101136\
0423339303969*x^18+168648908890651256891191914*x^16-284538986580462694574218\
127*x^14+307393030472653051786038569*x^12-198123006663708665451290235*x^10+6\
8808700435578485706489256*x^8-10940619330077553692396509*x^6+596125732687056\
890671522*x^4-12337365839370362153649*x^2+81067549325542482573
Common denominator of the automorphisms:
1335487487936865417621321167515454710521135632636101718819935499678453851247\
1705010332104478135566561366790284114174733655871678439183347766726491356903\
0132286023109086448696772400811402371145021092391992320
Complex polynomial:
x^52+60*x^48+80*x^46+1270*x^44+11920*x^42-740*x^40+66000*x^38+745025*x^36-23\
5600*x^34-941600*x^32+19077600*x^30-3381200*x^28-88875200*x^26+222272000*x^2\
4+162864000*x^22-1077220000*x^20+1314656000*x^18+1195456000*x^16-5034432000*\
x^14+6336800000*x^12-3013760000*x^10-1141120000*x^8+2604800000*x^6-147696000\
0*x^4+353280000*x^2+20480000
Common denominator of the automorphisms:
13933025138686902630434855456822890727364048942268416000

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