Group GAP4(46,1)

x^46-330*x^44+45841*x^42-3609021*x^40+182609052*x^38-6355494158*x^36+1583874\
29278*x^34-2895843839060*x^32+39389351764716*x^30-401235793522626*x^28+30631\
80197844753*x^26-17448810303233137*x^24+73436563097173596*x^22-2247069607265\
97359*x^20+488025805861432821*x^18-727012442049310792*x^16+70921476246914477\
2*x^14-428108770717345265*x^12+152017036343922543*x^10-31088881188872279*x^8\
+3549579477987770*x^6-207824955256319*x^4+4831191804071*x^2-23593

4608051423280722027172644516283264408851709162945167056526771201245456131021\
5855921964429572728837632099160604914579563227193839359757962227350929768750

x^46+23*x^45+267*x^44+2079*x^43+12188*x^42+57288*x^41+224544*x^40+753443*x^3\
9+2203743*x^38+5689075*x^37+13071767*x^36+26876208*x^35+49603260*x^34+823277\
02*x^33+123126582*x^32+166911846*x^31+208945070*x^30+253546062*x^29+32645051\
0*x^28+484641444*x^27+814105662*x^26+1407652242*x^25+2323625859*x^24+3539334\
318*x^23+4922758093*x^22+6244323257*x^21+7234481829*x^20+7669239889*x^19+744\
8074964*x^18+6628791699*x^17+5403491567*x^16+4028255213*x^15+2739888446*x^14\
+1694920592*x^13+950021172*x^12+480584935*x^11+218680804*x^10+89378773*x^9+3\
2876469*x^8+10941487*x^7+3307732*x^6+900340*x^5+213246*x^4+41247*x^3+5942*x^\
2+555*x+25

301123759881548828125