Group GAP4(55,2)

x^55-55*x^53+1430*x^51-23375*x^49+269500*x^47-2330636*x^45+x^44+15696120*x^4\
3-44*x^42-84366645*x^41+902*x^40+367982175*x^39-11440*x^38-1317269525*x^37+1\
00529*x^36+3899117794*x^35-649572*x^34-9586673914*x^33+3196578*x^32+19619239\
607*x^31-12243264*x^30-33417385705*x^29+36984860*x^28+47273371134*x^27-88763\
664*x^26-55309822425*x^25+169695240*x^24+53182431720*x^23-258048959*x^22-416\
56556260*x^21+310465133*x^20+26269293600*x^19-292746091*x^18-13133636571*x^1\
7+213285468*x^16+5102112862*x^15-117671620*x^14-1499508714*x^13+47797607*x^1\
2+321503053*x^11-13737009*x^10-47746996*x^9+2634412*x^8+4537511*x^7-306977*x\
^6-241142*x^5+18271*x^4+5489*x^3-363*x^2-33*x+1

1