Group GAP4(56,2)

x^56+x^55-55*x^54-54*x^53+1431*x^52+1378*x^51-23426*x^50-22100*x^49+270725*x\
^48+249900*x^47-2349060*x^46-2118760*x^45+15890700*x^44+13983816*x^43-859005\
84*x^42-73629072*x^41+377348994*x^40+314457495*x^39-1362649145*x^38-11017163\
30*x^37+4076350421*x^36+3190187286*x^35-10150595910*x^34-7669339132*x^33+210\
90682613*x^32+15338678264*x^31-36576848168*x^30-25518731280*x^29+52860229080\
*x^28+35240152720*x^27-63432274896*x^26-40225345056*x^25+62852101650*x^24+37\
711260990*x^23-51021117810*x^22-28781143380*x^21+33578000610*x^20+1767263190\
0*x^19-17672631900*x^18-8597496600*x^17+7307872110*x^16+3247943160*x^15-2319\
959400*x^14-927983760*x^13+548354040*x^12+193536720*x^11-92561040*x^10-28048\
800*x^9+10518300*x^8+2629575*x^7-736281*x^6-142506*x^5+27405*x^4+3654*x^3-40\
6*x^2-28*x+1

1

x^56+113*x^54+5876*x^52+186789*x^50+4067435*x^48+64441301*x^46+770202915*x^4\
4+7107232519*x^42+51408370403*x^40+294341315652*x^38+1341835550570*x^36+4884\
261932186*x^34+14199248288161*x^32+32902502333260*x^30+60518125046490*x^28+8\
7799266739330*x^26+99612341472010*x^24+87409566954411*x^22+58519784035000*x^\
20+29406683607447*x^18+10881643706282*x^16+2899886065698*x^14+541634303751*x\
^12+68391465504*x^10+5540450342*x^8+265450899*x^6+6588465*x^4+68026*x^2+113

1095297457521641056141635270484300838939871491236453810573988487458913751233\
865546342866433606707539