Group GAP4(89,1)

x^89+x^88-88*x^87-87*x^86+3741*x^85+3655*x^84-102340*x^83-98770*x^82+2024785\
*x^81+1929501*x^80-30872016*x^79-29034396*x^78+377447148*x^77+350161812*x^76\
-3801756816*x^75-3477216600*x^74+32164253550*x^73+28987537150*x^72-231900297\
200*x^71-205811513765*x^70+1440680596355*x^69+1258315963905*x^68-77786805041\
40*x^67-6681687099710*x^66+36749279048405*x^65+31022118677225*x^64-152724276\
564800*x^63-126600387152400*x^62+560658857389200*x^61+456002537343216*x^60-1\
824010149372864*x^59-1454278362337824*x^58+5271759063474612*x^57+41163050221\
65108*x^56-13559593014190944*x^55-10358022441395860*x^54+31074067324187580*x\
^53+23196134763125940*x^52-63484158299081520*x^51-46252743903616536*x^50+115\
631859759041340*x^49+82115378669464140*x^48-187692294101632320*x^47-12972849\
7393775280*x^46+271250494550621040*x^45+182183167981760400*x^44-348524321356\
411200*x^43-227068876035237600*x^42+397370533061665800*x^41+2506491054696661\
20*x^40-401038568751465792*x^39-244382877832924467*x^38+357174975294274221*x\
^37+209769429934732479*x^36-279692573246309972*x^35-157890968768078210*x^34+\
191724747789809255*x^33+103719945525634515*x^32-114449595062769120*x^31-5913\
2290782430712*x^30+59132290782430712*x^29+29065024282889672*x^28-26252279997\
448736*x^27-12220888964329584*x^26+9929472283517787*x^25+4355031703297275*x^\
24-3167295784216200*x^23-1300853625660225*x^22+841728816603675*x^21+32138736\
6339585*x^20-183649923622620*x^19-64617565719070*x^18+32308782859535*x^17+10\
363194502115*x^16-4481381406320*x^15-1292706174900*x^14+476260169700*x^13+12\
1399651100*x^12-37353738800*x^11-8217822536*x^10+2054455634*x^9+377348994*x^\
8-73629072*x^7-10737573*x^6+1533939*x^5+163185*x^4-15180*x^3-990*x^2+45*x+1

1