Group GAP4(44,2)

x^44+x^43-43*x^42-42*x^41+861*x^40+820*x^39-10660*x^38-9880*x^37+91390*x^36+\
82251*x^35-575757*x^34-501942*x^33+2760681*x^32+2324784*x^31-10295472*x^30-8\
347680*x^29+30260340*x^28+23535820*x^27-70607460*x^26-52451256*x^25+13112814\
0*x^24+92561040*x^23-193536720*x^22-129024480*x^21+225792840*x^20+141120525*\
x^19-206253075*x^18-119759850*x^17+145422675*x^16+77558760*x^15-77558760*x^1\
4-37442160*x^13+30421755*x^12+13037895*x^11-8436285*x^10-3124550*x^9+1562275\
*x^8+480700*x^7-177100*x^6-42504*x^5+10626*x^4+1771*x^3-253*x^2-22*x+1

1

x^44+115*x^42+6095*x^40+197800*x^38+4405075*x^36+71512750*x^34+877527625*x^3\
2+8329148125*x^30+62064479375*x^28+366389353125*x^26+1721656375000*x^24+6445\
987906250*x^22+19182837703125*x^20+45106755468750*x^18+82991007812500*x^16+1\
17775857421875*x^14+126351650000000*x^12+99649341796875*x^10+55553265625000*\
x^8+20684726562500*x^6+4716572265625*x^4+568261718750*x^2+25830078125

13345254614814453125