Group GAP4(83,1)

x^83+x^82-82*x^81-81*x^80+3240*x^79+3160*x^78-82160*x^77-79079*x^76+1502501*\
x^75+1426425*x^74-21111090*x^73-19757815*x^72+237093780*x^71+218618940*x^70-\
2186189400*x^69-1984829850*x^68+16871053725*x^67+15071474661*x^66-1105241475\
14*x^65-97082021465*x^64+621324937376*x^63+536211932256*x^62-3022285436352*x\
^61-2560547383576*x^60+12802736917880*x^59+10638894058520*x^58-4746583503032\
0*x^57-38650751381832*x^56+154603005527328*x^55+123234279768160*x^54-4436434\
07165376*x^53-345780890878896*x^52+1123787895356412*x^51+855420636763836*x^5\
0-2515943049305400*x^49-1867897112363100*x^48+4981058966301600*x^47+36016887\
91018080*x^46-8719878125622720*x^45-6131164307078475*x^44+13488561475572645*\
x^43+9206478467454345*x^42-18412956934908690*x^41-12176310231149295*x^40+221\
38745874816900*x^39+14154280149473100*x^38-23385332420868600*x^37-1442095499\
2868970*x^36+21631432489303455*x^35+12832205713993575*x^34-17451799771031262\
*x^33-9929472283517787*x^32+12220888964329584*x^31+6646448384109072*x^30-738\
4942649010080*x^29-3824345300380220*x^28+3824345300380220*x^27+1877405874732\
108*x^26-1683191473897752*x^25-779255311989700*x^24+623404249591760*x^23+270\
533919634160*x^22-191991813933920*x^21-77535155627160*x^20+48459472266975*x^\
19+18053528883775*x^18-9847379391150*x^17-3348108992991*x^16+1575580702584*x\
^15+482320623240*x^14-192928249296*x^13-52251400851*x^12+17417133617*x^11+40\
76350421*x^10-1101716330*x^9-215553195*x^8+45379620*x^7+7059052*x^6-1086008*\
x^5-123410*x^4+12341*x^3+861*x^2-42*x-1

1