Group GAP4(48,28)
Name: C2 . S4 = SL(2,3) . C2
Maximal quotient:GAP4(24,12)
Real polynomial:
x^48-240*x^46+25920*x^44-1678000*x^42+73172500*x^40-2289120000*x^38+53407835\
000*x^36-953417800000*x^34+13252719687500*x^32-145174013000000*x^30+12632983\
86275000*x^28-8774902841000000*x^26+48752581206125000*x^24-21655644480000000\
0*x^22+766756434906250000*x^20-2151558775875000000*x^18+4741960222000000000*\
x^16-8102659497500000000*x^14+10539042418750000000*x^12-10168138068750000000\
*x^10+7010849148593750000*x^8-3267296725000000000*x^6+941829776562500000*x^4\
-143551718750000000*x^2+8156347656250000
Common denominator of the automorphisms:
49235722160422720920043945312500000
Complex polynomial:
x^48+240*x^46+25920*x^44+1678000*x^42+73172500*x^40+2289120000*x^38+53407835\
000*x^36+953417800000*x^34+13252719687500*x^32+145174013000000*x^30+12632983\
86275000*x^28+8774902841000000*x^26+48752581206125000*x^24+21655644480000000\
0*x^22+766756434906250000*x^20+2151558775875000000*x^18+4741960222000000000*\
x^16+8102659497500000000*x^14+10539042418750000000*x^12+10168138068750000000\
*x^10+7010849148593750000*x^8+3267296725000000000*x^6+941829776562500000*x^4\
+143551718750000000*x^2+8156347656250000
Common denominator of the automorphisms:
49235722160422720920043945312500000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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