# Group GAP4(48,2)

Name: C48
Maximal quotients:GAP4(16,1) GAP4(24,2)
Real polynomial:
```x^48-x^47-48*x^46+47*x^45+1080*x^44-1034*x^43-15136*x^42+14148*x^41+148091*x\
^40-134931*x^39-1074488*x^38+952717*x^37+5994444*x^36-5163498*x^35-26311919*\
x^34+21979367*x^33+92220138*x^32-74573322*x^31-260447090*x^30+203520550*x^29\
+595550236*x^28-448955699*x^27-1103970115*x^26+801604023*x^25+1655619772*x^2\
4-1156350782*x^23-1998238943*x^22+1341017921*x^21+1924029811*x^20-1239775442\
*x^19-1459008975*x^18+902369642*x^17+855733436*x^16-507960152*x^15-378612663\
*x^14+215647349*x^13+122048196*x^12-66587715*x^11-27295100*x^10+14169142*x^9\
+3952116*x^8-1909570*x^7-338276*x^6+141792*x^5+15784*x^4-4584*x^3-352*x^2+32\
*x+1```
Common denominator of the automorphisms:
`1`
Complex polynomial:
```x^48-x^47+3*x^46-4*x^45+9*x^44-14*x^43+28*x^42-47*x^41+89*x^40-155*x^39+286*\
x^38-507*x^37+924*x^36-1652*x^35+2993*x^34-5373*x^33+9707*x^32+4760*x^31+928\
1*x^30+9946*x^29+13376*x^28+15797*x^27+20901*x^26+24069*x^25+33530*x^24+3550\
9*x^23+55620*x^22+48928*x^21+97821*x^20+55655*x^19+188915*x^18+20216*x^17+41\
3269*x^16-183922*x^15+81853*x^14-36428*x^13+16212*x^12-7215*x^11+3211*x^10-1\
429*x^9+636*x^8-283*x^7+126*x^6-56*x^5+25*x^4-11*x^3+5*x^2-2*x+1```
Common denominator of the automorphisms:
`3023389277`

Database of Galois polynomials by Bill Allombert and Igor Schein.