Group GAP4(64,148)

Name: (C2 x Q16) : C2
Maximal quotients:GAP4(32,28) GAP4(32,41) GAP4(32,42)
Real polynomial:
x^64-448*x^62+92960*x^60-11887008*x^58+1051404760*x^56-68447323840*x^54+3407\
404136864*x^52-133039722322080*x^50+4146277380275100*x^48-104435946532214976\
*x^46+2144721256111994784*x^44-36128514906831430944*x^42+5011671408093310864\
40*x^40-5737118755749774002624*x^38+54231511057514957133856*x^36-42300233928\
9951630890016*x^34+2717215702419509403380870*x^32-14330316775353533193366848\
*x^30+61789693080660891240293728*x^28-216670375839128599038504672*x^26+61390\
1188002663602047551720*x^24-1394655380563509846899342400*x^22+25174962692221\
82470049056992*x^20-3572785421501076519061738464*x^18+3937479516913093523851\
299100*x^16-3321250088208204340618733632*x^14+2107171947074782019134160864*x\
^12-984001834831463440436445792*x^10+328656952586260512912371800*x^8-7536568\
5406567103394349888*x^6+11124637290785772533620064*x^4-939671904847863503177\
568*x^2+34096486974367789770561
Common denominator of the automorphisms:
5931214970134528779926771064932688107537258126688686562100706408132340298266\
611023872
Complex polynomial:
x^64+128*x^60+3992*x^56-87808*x^52+982800*x^48-7124992*x^44+37395456*x^40-16\
4855808*x^36+673865728*x^32-2637692928*x^28+9573236736*x^24-29183967232*x^20\
+64408780800*x^16-92073361408*x^12+66974646272*x^8+34359738368*x^4+429496729\
6
Common denominator of the automorphisms:
1353248091572174082539520

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.