Group GAP4(66,2)

x^66-295*x^64+40*x^63+35186*x^62-808*x^61-2289037*x^60-311305*x^59+91787657*\
x^58+23650727*x^57-2436453906*x^56-788378494*x^55+44952335084*x^54+152403019\
29*x^53-597109853447*x^52-188943382121*x^51+5858655844680*x^50+1578416639618\
*x^49-43251686247346*x^48-9110772191268*x^47+243441521952857*x^46+3669880914\
7538*x^45-1054683009210539*x^44-103103337871945*x^43+3542909471796931*x^42+2\
01213720363675*x^41-9283823589882792*x^40-279801755465449*x^39+1907493419916\
5101*x^38+337473363722197*x^37-30861440916284113*x^36-544256629748183*x^35+3\
9438697933568566*x^34+1068842430669165*x^33-39873113644139207*x^32-170409128\
6878558*x^31+31891973670173843*x^30+1950043406190346*x^29-20148044768727340*\
x^28-1595517807836729*x^27+10024278366076887*x^26+944459378113268*x^25-39120\
78443037504*x^24-407623863781455*x^23+1191819010821296*x^22+128495868266702*\
x^21-281838489125412*x^20-29466455432993*x^19+51370542955420*x^18+4865964009\
361*x^17-7148511010568*x^16-568307655010*x^15+749180981207*x^14+45556404584*\
x^13-57973357154*x^12-2382019147*x^11+3219750985*x^10+73866305*x^9-123325046\
*x^8-1075321*x^7+3079218*x^6+219*x^5-46005*x^4+110*x^3+354*x^2-1

3534977559451066868274419604131344478744723375322181876753023962712545413911\
8046577099155264645990469872288768297532621680682167741024161273328098346663\
485539096854181597671875

x^66-3*x^65+67*x^64-168*x^63+1922*x^62-3941*x^61+31264*x^60-50390*x^59+32231\
6*x^58-369923*x^57+2218212*x^56-1339851*x^55+10338618*x^54+1270815*x^53+3147\
6340*x^52+42904409*x^51+49756764*x^50+257669014*x^49-47104682*x^48+906050665\
*x^47-484995786*x^46+1934701093*x^45-985251204*x^44+1285931447*x^43+13868139\
72*x^42-7820460634*x^41+15132493577*x^40-37044447462*x^39+53037815689*x^38-9\
4987257174*x^37+121577234749*x^36-172980852916*x^35+206582459616*x^34-240307\
060098*x^33+272447811941*x^32-262190490080*x^31+284294315450*x^30-2273641768\
15*x^29+235944649545*x^28-156386485333*x^27+154762234570*x^26-83456249268*x^\
25+78603628241*x^24-32506238704*x^23+29613139724*x^22-7698788969*x^21+754024\
5152*x^20-70067721*x^19+961753476*x^18+737904787*x^17-75141988*x^16+29283801\
6*x^15-44534098*x^14+54384715*x^13-1176879*x^12+3418022*x^11+2228491*x^10-56\
2682*x^9+542329*x^8-133162*x^7+58907*x^6-11067*x^5+3333*x^4-420*x^3+93*x^2-6\
*x+1

9201844394122364081251726231715678215323915972745693827500237150391491985741\
492399840290080307264955274527380214593053050211262009518025