Group GAP4(72,21)

Name: (C3 x (C3 : C4)) : C2
Maximal quotients:GAP4(24,5) GAP4(36,10)
Real polynomial:
x^72-720*x^70+226800*x^68-41940000*x^66+5152666500*x^64-450701820000*x^62+29\
334505050000*x^60-1464646292100000*x^58+57352329302343750*x^56-1790784008585\
000000*x^54+45160386153446250000*x^52-929045260756912500000*x^50+15714959481\
902714062500*x^48-219940949648178562500000*x^46+2559495187521319218750000*x^\
44-24860309743520742187500000*x^42+202107258166235124462890625*x^40-13778784\
94755778558593750000*x^38+7886087804885257484375000000*x^36-3790133964337467\
7265625000000*x^34+152886190808010805664062500000*x^32-516933906620775820312\
500000000*x^30+1461930015477900796875000000000*x^28-344768159892556828125000\
0000000*x^26+6752894877221963789062500000000*x^24-10928781600145481250000000\
000000*x^22+14518970602527656250000000000000*x^20-15704064733600000000000000\
000000*x^18+13686534114946875000000000000000*x^16-94850226747000000000000000\
00000*x^14+5138338656150000000000000000000*x^12-2127336318000000000000000000\
000*x^10+652673902500000000000000000000*x^8-141985200000000000000000000000*x\
^6+20455200000000000000000000000*x^4-1728000000000000000000000000*x^2+640000\
00000000000000000000
Common denominator of the automorphisms:
1678443493432365569630184544128533373948805998130749092972637328679387808903\
73887453181729425967280332800000000000000000000000
Complex polynomial:
x^72-6*x^69-9*x^66+268*x^63-900*x^60+10494*x^57-37122*x^54-207855*x^51+23572\
53*x^48-3049681*x^45+2243946*x^42-1051380*x^39+231314*x^36-104709*x^33+13606\
2*x^30-124798*x^27+74814*x^24-27495*x^21+8049*x^18-2118*x^15+594*x^12-191*x^\
9+48*x^6-9*x^3+1
Common denominator of the automorphisms:
503561184659476170975

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