Group GAP4(72,20)

Name: (C3 : C4) x S3
Maximal quotients:GAP4(24,5) GAP4(24,7) GAP4(36,10)
Real polynomial:
x^72-1020*x^70+457020*x^68-119622200*x^66+20519373000*x^64-2451684699000*x^6\
2+211601370257000*x^60-13499676651690000*x^58+646218505105290000*x^56-234413\
41201028300000*x^54+648724830311879100000*x^52-13764999344367550500000*x^50+\
224888734650887259750000*x^48-2840741035518543150000000*x^46+278642039855671\
23030000000*x^44-213184121818517292300000000*x^42+12777410668394698617000000\
00*x^40-6022465567968731359500000000*x^38+22388331702084824259500000000*x^36\
-65753697198629081865000000000*x^34+152596482697427701005000000000*x^32-2793\
82410784588506150000000000*x^30+402072845089280462550000000000*x^28-45213343\
7705401511250000000000*x^26+393822732062510814937500000000*x^24-262540702280\
174208750000000000*x^22+131823662392766778750000000000*x^20-4881682604400853\
7500000000000*x^18+12977956557391162500000000000*x^16-2395191360725437500000\
000000*x^14+295158403891062500000000000*x^12-23342068333125000000000000*x^10\
+1143771778125000000000000*x^8-33573193750000000000000*x^6+56041875000000000\
0000*x^4-4781250000000000000*x^2+15625000000000000
Common denominator of the automorphisms:
6471747803543865908514482128198784465576580715052799919132882778395649810227\
42175567404922966667854000000000000000000000
Complex polynomial:
x^72+9*x^69-18*x^66-1890*x^63-30807*x^60+6480*x^57+4820175*x^54+83759670*x^5\
1+522154755*x^48-7629123510*x^45+39507931926*x^42-7929303111*x^39-1935061592\
733*x^36+10821252620970*x^33-10035227644272*x^30-397558417499424*x^27+393189\
0668409744*x^24-786501192238848*x^21+51694228175040*x^18+11082044222208*x^15\
-3649693033728*x^12+289512050688*x^9+41358864384*x^6-16325867520*x^3+2176782\
336
Common denominator of the automorphisms:
687583506844204275184291140489930240000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.