Group GAP4(55,1)

x^55-176*x^53-121*x^52+12221*x^51+16214*x^50-436425*x^49-848001*x^48+8742569\
*x^47+22403150*x^46-101656346*x^45-333222510*x^44+699762723*x^43+3079504428*\
x^42-2655760635*x^41-18920085624*x^40+2478576342*x^39+80671529730*x^38+29456\
451035*x^37-244685062908*x^36-185086188562*x^35+532410587665*x^34+6014490510\
04*x^33-820695212744*x^32-1303189166730*x^31+846362769351*x^30+2018411379259\
*x^29-457996509883*x^28-2292431377291*x^27-139027166201*x^26+1920289424471*x\
^25+542120518544*x^24-1175597688925*x^23-565146565059*x^22+511388963712*x^21\
+358637443472*x^20-147558312143*x^19-154177038158*x^18+22470760928*x^17+4585\
1294632*x^16+1026085093*x^15-9328135091*x^14-1327188621*x^13+1252907370*x^12\
+302227513*x^11-103573338*x^10-36003847*x^9+4493093*x^8+2432221*x^7-43802*x^\
6-90365*x^5-3663*x^4+1650*x^3+121*x^2-11*x-1

4375110262792885327032692645611776551250299584626585360257853969569424767363\
88191192346561058595640363342824011846825612262948