Group GAP4(48,11)
Name: C4 x (C3 : C4)
Maximal quotients:GAP4(16,2) GAP4(24,5) GAP4(24,7)
Real polynomial:
x^48-480*x^46+108000*x^44-15137000*x^42+1481340000*x^40-107534700000*x^38+60\
05026775000*x^36-264019329000000*x^34+9278088435000000*x^32-2630956623500000\
00*x^30+6052381991250000000*x^28-113176080765000000000*x^26+1718546249625625\
000000*x^24-21108925035150000000000*x^22+208305558308250000000000*x^20-16347\
90359998750000000000*x^18+10061098290112500000000000*x^16-476450883911250000\
00000000*x^14+169260180201734375000000000*x^12-435910858220625000000000000*x\
^10+776561358178125000000000000*x^8-895597951890625000000000000*x^6+60618527\
9531250000000000000*x^4-205731745312500000000000000*x^2+24496312890625000000\
000000
Common denominator of the automorphisms:
1078204948945312500000000000
Complex polynomial:
x^48+480*x^46+108000*x^44+15137000*x^42+1481340000*x^40+107534700000*x^38+60\
05026775000*x^36+264019329000000*x^34+9278088435000000*x^32+2630956623500000\
00*x^30+6052381991250000000*x^28+113176080765000000000*x^26+1718546249625625\
000000*x^24+21108925035150000000000*x^22+208305558308250000000000*x^20+16347\
90359998750000000000*x^18+10061098290112500000000000*x^16+476450883911250000\
00000000*x^14+169260180201734375000000000*x^12+435910858220625000000000000*x\
^10+776561358178125000000000000*x^8+895597951890625000000000000*x^6+60618527\
9531250000000000000*x^4+205731745312500000000000000*x^2+24496312890625000000\
000000
Common denominator of the automorphisms:
1078204948945312500000000000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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