Group GAP4(75,1)

x^75+x^74-74*x^73-73*x^72+2628*x^71+2556*x^70-59640*x^69-57155*x^68+971635*x\
^67+916895*x^66-12103014*x^65-11238513*x^64+119877472*x^63+109453344*x^62-96\
9443904*x^61-869648208*x^60+6522361560*x^59+5743572120*x^58-37014131440*x^57\
-31966749880*x^56+179013799328*x^55+151473214816*x^54-743595781824*x^53-6157\
90256823*x^52+2668424446233*x^51+2160153123141*x^50-8308281242850*x^49-65662\
22272575*x^48+22512762077400*x^47+17345898649800*x^46-53194089192720*x^45-39\
895566894540*x^44+109712808959985*x^43+79960182801345*x^42-197548686920970*x\
^41-139646485582065*x^40+310325523515700*x^39+212327989773900*x^38-424655979\
547800*x^37-280576272201225*x^36+505037289962205*x^35+321387366339585*x^34-5\
20341450264090*x^33-317986441828055*x^32+462525733568080*x^31+27053391963416\
0*x^30-352870329957600*x^29-196793068630200*x^28+229591913401900*x^27+121548\
660036300*x^26-126410606437752*x^25-63205303218876*x^24+58343356817424*x^23+\
27385657281648*x^22-22314239266528*x^21-9762479679106*x^20+6973199770790*x^1\
9+2818953098830*x^18-1749695026860*x^17-646626422970*x^16+344867425584*x^15+\
114955808528*x^14-51915526432*x^13-15338678264*x^12+5752004349*x^11+14714429\
73*x^10-445891810*x^9-95548245*x^8+22481940*x^7+3838380*x^6-658008*x^5-82251\
*x^4+9139*x^3+703*x^2-38*x-1

1