Group GAP4(48,21)

Name: C3 x ((C4 x C2) : C2)
Maximal quotients:GAP4(16,3) GAP4(24,9) GAP4(24,10)
Real polynomial:
x^48-96*x^46+4315*x^44-120648*x^42+2351441*x^40-33928016*x^38+375676131*x^36\
-3265676760*x^34+22611721913*x^32-125811942976*x^30+565061486235*x^28-205053\
9723240*x^26+5998760303329*x^24-14071446820912*x^22+26237980107027*x^20-3841\
0514857208*x^18+43408049285705*x^16-37024612144416*x^14+23124161704267*x^12-\
10146614190856*x^10+2949532935921*x^8-519946862864*x^6+48004611395*x^4-17346\
41688*x^2+16556761
Common denominator of the automorphisms:
222749267
Complex polynomial:
x^48-x^47+2*x^46-2*x^45+2*x^44-x^43-x^42+4*x^41-8*x^40+12*x^39-15*x^38+15*x^\
37-10*x^36+51*x^35-31*x^34+57*x^33-27*x^32+2*x^31+59*x^30-141*x^29+229*x^28-\
313*x^27+342*x^26-285*x^25+85*x^24+285*x^23+342*x^22+313*x^21+229*x^20+141*x\
^19+59*x^18-2*x^17-27*x^16-57*x^15-31*x^14-51*x^13-10*x^12-15*x^11-15*x^10-1\
2*x^9-8*x^8-4*x^7-x^6+x^5+2*x^4+2*x^3+2*x^2+x+1
Common denominator of the automorphisms:
21125

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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