Group GAP4(82,2)

x^82-x^81-82*x^80+82*x^79+3238*x^78-3238*x^77-82003*x^76+82003*x^75+1496574*\
x^74-1496574*x^73-20967791*x^72+20967791*x^71+234600829*x^70-234600829*x^69-\
2152948121*x^68+2152948121*x^67+16517684668*x^66-16517684668*x^65-1074485888\
95*x^64+107448588895*x^63+598989353601*x^62-598989353601*x^61-2885034135527*\
x^60+2885034135527*x^59+12081545641713*x^58-12081545641713*x^57-441993730370\
95*x^56+44199373037095*x^55+141772358249401*x^54-141772358249401*x^53-399733\
565202455*x^52+399733565202455*x^51+992421588746533*x^50-992421588746533*x^4\
9-2171567397501167*x^48+2171567397501167*x^47+4188861744083953*x^46-41888617\
44083953*x^45-7119730200083012*x^44+7119730200083012*x^43+10650914283607933*\
x^42-10650914283607933*x^41-13998689355060152*x^40+13998689355060152*x^39+16\
124522245100548*x^38-16124522245100548*x^37-16225187603767682*x^36+162251876\
03767682*x^35+14205471660845653*x^34-14205471660845653*x^33-1076865559769908\
4*x^32+10768655597699084*x^31+7026673946851012*x^30-7026673946851012*x^29-39\
18866050788928*x^28+3918866050788928*x^27+1852418675239404*x^26-185241867523\
9404*x^25-734708960566400*x^24+734708960566400*x^23+241565618982960*x^22-241\
565618982960*x^21-64882853257720*x^20+64882853257720*x^19+13982562392455*x^1\
8-13982562392455*x^17-2364087396854*x^16+2364087396854*x^15+304753385074*x^1\
4-304753385074*x^13-28851712667*x^12+28851712667*x^11+1906204146*x^10-190620\
4146*x^9-81675319*x^8+81675319*x^7+2024869*x^6-2024869*x^5-23737*x^4+23737*x\
^3+84*x^2-84*x+1

1

x^82+x^81+x^80+x^79+x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^71+x^70+x^69+x^68+x\
^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^55+x^54+x^53+x^\
52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^40+x^39+x^38+x^3\
7+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25+x^24+x^23+x^22\
+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6\
+x^5+x^4+x^3+x^2+x+1

1