Group GAP4(96,32)

Name: (C3 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,11) GAP4(48,14)
Real polynomial:
x^96-752*x^94+269308*x^92-61197096*x^90+9919512998*x^88-1222386593512*x^86+1\
19190635679544*x^84-9449924250693296*x^82+621296230055630565*x^80-3437494497\
4890935656*x^78+1618726572127572923744*x^76-65455684965141507945280*x^74+228\
8886102911482589711738*x^72-69606761137944373888747720*x^70+1849223953694634\
813913600676*x^68-43072673869287368370467726696*x^66+88210540519994262004862\
2175010*x^64-15918232754144713693541632352320*x^62+2535291482393442622259375\
81439892*x^60-3567822935322483953209611983525368*x^58+4439208802857894761461\
0291581832398*x^56-488466523021023350149283322389490792*x^54+475244119598353\
1621629469980315480352*x^52-40861016171507871645570488810328133504*x^50+3101\
73371964586360102813594015575238093*x^48-20760090733411288403337297449646724\
26648*x^46+12230363386333177370788678343577246389456*x^44-632866030731227946\
58151341494156769436000*x^42+286900203471056062039481679526648614681110*x^40\
-1135974759863335397945332206556194479772312*x^38+39143335787548271081342883\
76980104200465756*x^36-11688376153553784821501241901055110232096728*x^34+300\
94484533201138866576443458321416882947090*x^32-66418896195931273139631559412\
172549433680288*x^30+124773099368284488053941579240175602284372972*x^28-1978\
44428927041238074252699377236802574031176*x^26+26210902313995481697224096507\
9343869539947362*x^24-286539438546665618569333876638243407985545784*x^22+254\
513934462959949721115672326101373283876080*x^20-1801293026175262006425866878\
81083081948329120*x^18+99062155053997861786707230968154263502159957*x^16-409\
63795008601011342641042553486723748998856*x^14+12188621108923318861344946807\
962599405428792*x^12-2457963418214284714261301141623265225294352*x^10+309574\
917151584852038990704921489171150702*x^8-21802370098704580853382634258549813\
542168*x^6+712534279113133275186095786686960743924*x^4-671533328937083176068\
3997455902755464*x^2+13064155168386951732493379855122569
Common denominator of the automorphisms:
7492032853322137687552328567235185218030439913331779586909747458792898653592\
0187576587650072886619796532034149696064870756796314073517759393500250988733\
3381221072873894499972841924470579503744480544167813116258453425888119874677\
0737727536050067092790039009584322048084730057465967528254136154715247746753\
1919956940927125638086656
Complex polynomial:
x^96+146832*x^88+17934066288*x^80+21328471084480*x^72+20463377455869024*x^64\
+965489062056503040*x^56+35727557600973547264*x^48+76473512895501517824*x^40\
+27495351702654255360*x^32+7145772422505988096*x^24+103671953307992064*x^16+\
58782029709312*x^8+268435456
Common denominator of the automorphisms:
27045436460886060882557044734242651804945568432329859120408005967872

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.