Group GAP4(96,13)

Name: (C3 x ((C4 x C2) : C2)) : C2
Maximal quotients:GAP4(32,6) GAP4(48,14)
Real polynomial:
x^96-584*x^94+160952*x^92-27911424*x^90+3425540864*x^88-317252326912*x^86+23\
084401665408*x^84-1356550993422656*x^82+65674771212208064*x^80-2658829126144\
640256*x^78+91056815058588375552*x^76-2661931415899281261824*x^74+6690783291\
4718954585600*x^72-1454351776408710408621568*x^70+27466385783217496380801536\
*x^68-452377823508255065763826688*x^66+6517239243142414868849158656*x^64-823\
18575711908783421511778304*x^62+913192387890412431584445140992*x^60-89081875\
56236947985912357724160*x^58+76471988149185616420246371389440*x^56-577864821\
937148449474659949502464*x^54+3843197102556458072343871702032384*x^52-224822\
88227814042903790553612517376*x^50+115561193942189004120251920481001472*x^48\
-521127957810969162024248996304158720*x^46+205758129900033934391990831356277\
5552*x^44-7094700199504035605033635641768083456*x^42+21296161922403977284473\
365681590108160*x^40-55436643399758789913741468497707925504*x^38+12457575410\
4842219946986577837675118592*x^36-240353556921856514869021052028041297920*x^\
34+395596192750366855099496083738270433280*x^32-5512203666094112024718075578\
14667706368*x^30+644362240930551869705324172284252389376*x^28-62509773873002\
4702476639688310263906304*x^26+496669433284842459015291865153863155712*x^24-\
318036874650628241485645407114598809600*x^22+1608503458520877375917759091278\
17003008*x^20-62626039042826133466437050669364936704*x^18+181561949605869559\
26446154626895970304*x^16-3752034270601942338844320435267436544*x^14+5221091\
79396106576554088179934691328*x^12-45597140378867914465018340760879104*x^10+\
2314347981490064863779820964675584*x^8-63232027075099642357640931049472*x^6+\
889750822901226819265549565952*x^4-5754033189076478093338607616*x^2+11631654\
399021582055899136
Common denominator of the automorphisms:
1958464991515448437873777425517034173391368038239022198594838536745357159269\
3614164210150620553034264431089724469167909694208290152297061520102967646608\
7594410011969503000916354460921394533736847514191833316649210527494354646868\
0600334301191709140497539074501156650657094408987686924995937372161469743066\
4630254100357971644337415779987565188218880
Complex polynomial:
x^96+576*x^92+89280*x^88-6321664*x^84+6196246272*x^80-520638566400*x^76+3476\
51558985728*x^72+42269299604619264*x^68+1905341178193403904*x^64+37182179289\
346605056*x^60+285000396683152195584*x^56-15651643251203506176*x^52+26111015\
03129853624320*x^48+1419092311116934545408*x^44+25755563227641066553344*x^40\
+202301270418093387022336*x^36+424946876574058370039808*x^32+280515764718185\
144647680*x^28+117958359064741368823808*x^24+280965891860191858655232*x^20+5\
9423702115192139677696*x^16+2830101095677010378752*x^12-7332563880800944128*\
x^8+472877960873902080*x^4+4503599627370496
Common denominator of the automorphisms:
5191199078128746441770369306338285410317419839090627678784846822247127573804\
26199915766686273776411731644790717022208

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.