Group GAP4(56,6)

Name: C2 x (C7 : C4)
Maximal quotients:GAP4(8,2) GAP4(28,1) GAP4(28,3)
Real polynomial:

x^56-4616*x^54+8836178*x^52-9330002296*x^50+6085947779793*x^48-2602976962353\
696*x^46+757676108469368268*x^44-154316407899726313396*x^42+2252107220294482\
5253460*x^40-2404739832720742084953668*x^38+191217676343185914644017348*x^36\
-11486388913214214235332737632*x^34+526968526770502062020911148958*x^32-1860\
6540726578730724869787935464*x^30+507925666036196576193798321808981*x^28-107\
35973999235927628249867638762728*x^26+175443104649176481006559927911437982*x\
^24-2206535689279284690676488665087541856*x^22+21194895956904285445800778418\
545923268*x^20-153796751714262221521825855669992407876*x^18+8310821256083637\
06585425304032657017940*x^16-3285812652192610250945938254445472516788*x^14+9\
308722808770756783212277516346716802508*x^12-1845239075424983784045611254145\
6331973152*x^10+24893522406186004807250377340920499640657*x^8-22019917896828\
102373236737118205560710008*x^6+12033008231231286031392641743798171449938*x^\
4-3627031865963407099445503087983045540872*x^2+45337898324542588743068788599\
7880692609

Common denominator of the automorphisms:

1481747001264201547340907829323192684863313895360743632935853603012692601968\
75849428145256425

Complex polynomial:

x^56+259650*x^52+20865659217*x^48+716280319446572*x^44+11718057517253556276*\
x^40+91700229975802101204516*x^36+313790953636112936454680222*x^32+343006416\
629799406203503015541*x^28+104470108403117443820920231630238*x^24+1016421112\
6972942730328410152389156*x^20+432424711473849606870600050016384564*x^16+880\
0138835808984893035427169937663532*x^12+853473894342054211046304223397336268\
33*x^8+353588461803191766627052944019144387650*x^4+4533789832454258874306878\
85997880692609

Common denominator of the automorphisms:

10018932636188206560946352868735467446099619500145446175852870131489625

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.