Group GAP4(104,9)

Name: C52 x C2
Maximal quotients:GAP4(8,2) GAP4(52,2) GAP4(52,5)
Real polynomial:
x^104-x^103-104*x^102+103*x^101+5252*x^100-5149*x^99-171601*x^98+166452*x^97\
+4078172*x^96-3911720*x^95-75140078*x^94+71228358*x^93+1117207108*x^92-10459\
78750*x^91-13776464078*x^90+12730485328*x^89+143705740982*x^88-130975255654*\
x^87-1287064306924*x^86+1156089051270*x^85+10011765437697*x^84-8855676386427\
*x^83-68257396834214*x^82+59401720447787*x^81+410846534425386*x^80-351444813\
977599*x^79-2196149130207821*x^78+1844704316230222*x^77+10475717846124297*x^\
76-8631013529894075*x^75-44766182311255924*x^74+36135168781361849*x^73+17192\
8932252842982*x^72-135793763471481133*x^71-594980007932106155*x^70+459186244\
460625022*x^69+1859101563953021058*x^68-1399915319492396036*x^67-52534353566\
93713756*x^66+3853520037201317720*x^65+13441144842194433729*x^64-95876248049\
93116009*x^63-31162462852993854032*x^62+21574838048000738023*x^61+6549811546\
3037561625*x^60-43923277415036823602*x^59-124819751537205659413*x^58+8089647\
4122168835811*x^57+215632174355915828976*x^56-134735700233746993165*x^55-337\
522402176040788627*x^54+202786701942293795462*x^53+478297651861649608779*x^5\
2-275510949919355813316*x^51-612929577128846786057*x^50+33741862720949097268\
8*x^49+709262441480768494011*x^48-371843814271277519998*x^47-739783167560453\
009391*x^46+367939353289175468617*x^45+693999645375370555672*x^44-3260602920\
86194857883*x^43-584053991177465984173*x^42+257993699091269235621*x^41+43961\
7661498598988188*x^40-181623962407317644240*x^39-294917668640098106528*x^38+\
113293706232718792548*x^37+175615625279055238494*x^36-62321919046082572183*x\
^35-92388718135036123095*x^34+30066799088099611891*x^33+42707614006951231900\
*x^32-12640814916488393416*x^31-17237953074271920648*x^30+459713815238186644\
8*x^29+6030888239959933336*x^28-1433750077367610528*x^27-1813357142279779816\
*x^26+379607048968148972*x^25+463916326730532084*x^24-84309257262928420*x^23\
-99794054537871416*x^22+15484775696569636*x^21+17796631249671753*x^20-231183\
7109424887*x^19-2586571583930350*x^18+274721817079913*x^17+300039142373262*x\
^16-25310454119479*x^15-27061244409029*x^14+1747897163710*x^13+1835279375241\
*x^12-86461671491*x^11-89540818588*x^10+2865450302*x^9+2956233345*x^8-563158\
18*x^7-60356387*x^6+443989*x^5+657735*x^4+3289*x^3-2860*x^2-52*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^104-x^103+x^101-x^100+x^98-x^97+x^95-x^94+x^92-x^91+x^89-x^88+x^86-x^85+x^\
83-x^82+x^80-x^79+x^77-x^76+x^74-x^73+x^71-x^70+x^68-x^67+x^65-x^64+x^62-x^6\
1+x^59-x^58+x^56-x^55+x^53-x^52+x^51-x^49+x^48-x^46+x^45-x^43+x^42-x^40+x^39\
-x^37+x^36-x^34+x^33-x^31+x^30-x^28+x^27-x^25+x^24-x^22+x^21-x^19+x^18-x^16+\
x^15-x^13+x^12-x^10+x^9-x^7+x^6-x^4+x^3-x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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