Group GAP4(57,2)

x^57-x^56-112*x^55+107*x^54+5778*x^53-5264*x^52-182409*x^51+158162*x^50+3949\
012*x^49-3251917*x^48-62274995*x^47+48591793*x^46+741796635*x^45-547081919*x\
^44-6831325340*x^43+4749166212*x^42+49386677548*x^41-32269170299*x^40-283077\
715073*x^39+173280244117*x^38+1294221684284*x^37-739568067417*x^36-473391375\
6767*x^35+2515445200690*x^34+13859584281697*x^33-6818325622765*x^32-32422055\
002715*x^31+14695397647020*x^30+60370134970390*x^29-25071813889069*x^28-8894\
3763838189*x^27+33635381415438*x^26+102845339066006*x^25-35165809616959*x^24\
-92352397619739*x^23+28325117502553*x^22+63555073627542*x^21-17325267587738*\
x^20-32974634543468*x^19+7901884715434*x^18+12641071476596*x^17-262488023237\
7*x^16-3491342225104*x^15+615525086242*x^14+672009749735*x^13-97657900193*x^\
12-85994272581*x^11+9893898730*x^10+6799271050*x^9-593549678*x^8-292757794*x\
^7+19303731*x^6+5418873*x^5-291720*x^4-28982*x^3+1217*x^2+43*x-1

2642383125568110345121412283182000545286919850925651705428350739848927937264\
2158515440957271844974213292953185976977691737365434675732193800499488284914\
8016746229567284528715365288043821837623995044622929147397