Group GAP4(65,1)

x^65+x^64-64*x^63-63*x^62+1953*x^61+1891*x^60-37820*x^59-35990*x^58+521855*x\
^57+487635*x^56-5461512*x^55-5006386*x^54+45057474*x^53+40475358*x^52-300674\
088*x^51-264385836*x^50+1652411475*x^49+1420494075*x^48-7575968400*x^47-6358\
402050*x^46+29248649430*x^45+23930713170*x^44-95722852680*x^43-76223753060*x\
^42+266783135710*x^41+206379406870*x^40-635013559600*x^39-476260169700*x^38+\
1292706174900*x^37+937845656300*x^36-2250829575120*x^35-1575580702584*x^34+3\
348108992991*x^33+2254848913647*x^32-4244421484512*x^31-2741188875414*x^30+4\
568648125690*x^29+2818953098830*x^28-4154246671960*x^27-2438362177020*x^26+3\
169870830126*x^25+1761039350070*x^24-2012616400080*x^23-1052049481860*x^22+1\
052049481860*x^21+513791607420*x^20-446775310800*x^19-202112640600*x^18+1515\
84480450*x^17+62852101650*x^16-40225345056*x^15-15084504396*x^14+8122425444*\
x^13+2707475148*x^12-1203322288*x^11-348330136*x^10+124403620*x^9+30260340*x\
^8-8347680*x^7-1623160*x^6+324632*x^5+46376*x^4-5984*x^3-528*x^2+33*x+1

1