Group GAP4(96,152)

Name: Q8 x (C3 : C4)
Maximal quotients:GAP4(32,26) GAP4(48,40) GAP4(48,41) GAP4(48,42)
Real polynomial:
x^96-1200*x^94+683280*x^92-246003600*x^90+62960791500*x^88-12209089338000*x^\
86+1866992867370000*x^84-231355531803510000*x^82+23692458135893681250*x^80-2\
034672958074078450000*x^78+148186667901666333150000*x^76-9233253304143976707\
750000*x^74+495590833416645395292937500*x^72-23039625066757777249413750000*x\
^70+931673996256508729490418750000*x^68-32879157993880325701754456250000*x^6\
6+1015121992352360343869222068359375*x^64-2746722346053116726637896568750000\
0*x^62+652056870235234897339197966562500000*x^60-135876578224939037111383743\
96562500000*x^58+248519071340469217071237568063359375000*x^56-39871266183071\
99802032981109876562500000*x^54+56045336415858509572490285220201562500000*x^\
52-689057736224283764863210823076210937500000*x^50+7393064473256275902173273\
536809506835937500*x^48-69025929959994470543047362128097539062500000*x^46+55\
8886507652365517839913535941259960937500000*x^44-390829706744868599572800916\
5651340429687500000*x^42+23493125405560810708828521198347077880859375000*x^4\
0-120728327834149083096385177952406588867187500000*x^38+52709347291550896012\
5109638925452131835937500000*x^36-194141593882740319299353199409737262207031\
2500000*x^34+5985065142439534655269551769650342790374755859375*x^32-15307485\
407864370360778162438544975134277343750000*x^30+3216294292938092076729768391\
4180030090332031250000*x^28-549136661521495644868081786394256546020507812500\
00*x^26+75264414561839161586408965871158407211303710937500*x^24-816841731004\
86752578176081942037788391113281250000*x^22+69107746259820329328732513969047\
126770019531250000*x^20-44748385519778491466513051581858634948730468750000*x\
^18+21687131604689835368686083233606457710266113281250*x^16-7648304472408237\
400086807194352149963378906250000*x^14+1891071254381426739128760941290855407\
714843750000*x^12-311243045537910989463511595606803894042968750000*x^10+3154\
0894272625712374571042507886886596679687500*x^8-1723789313891834728913471102\
714538574218750000*x^6+38300269388369514691337943077087402343750000*x^4-1087\
93852172015956118702888488769531250000*x^2+485371070141904288902878761291503\
90625
Common denominator of the automorphisms:
1642515967469172690687807473802347910458925945451365534118377703994485711382\
3459078649769540157318149009428029412586147035978431419121819344666141019894\
7856102800040412679851972222091631881603310584696810758782078590212532591249\
70912759305527208804502797508829760010349844580078125000000000000000000000
Complex polynomial:
x^96-60*x^94+2268*x^92-70620*x^90+1998909*x^88-42633036*x^86+740386512*x^84-\
11151184608*x^82+148337395326*x^80-1659573726084*x^78+16044299742924*x^76-13\
7202728737032*x^74+1034074981814382*x^72-6636260937857976*x^70+3708589503648\
8916*x^68-184182522417055692*x^66+814723015974210423*x^64-317093983260188367\
6*x^62+11000238267523650444*x^60-34243972081649749728*x^58+94966026171501849\
174*x^56-231400642550579826984*x^54+502243897120248850812*x^52-9723211121044\
98111852*x^50+1652392164581335120131*x^48-2416233665998493314524*x^46+310690\
7768326921598988*x^44-3481810432079156992152*x^42+3252625497976980340134*x^4\
0-2391176731728411550656*x^38+1501626501602698486716*x^36-825860382787794054\
348*x^34+385355349213223406823*x^32-143042112399944262204*x^30+4582606057092\
6654564*x^28-12962864534071453128*x^26+3150232723527626142*x^24-622437107520\
797784*x^22+107885681606041596*x^20-16079571059420772*x^18+1850074359983406*\
x^16-128078726624496*x^14+7488839089008*x^12-389723058828*x^10+17179512669*x\
^8-542594700*x^6+15825132*x^4-393660*x^2+6561
Common denominator of the automorphisms:
5024175182456670798893279712329670550406131491611399778135317376006342115776\
861633212589924581159037777469196840025000

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.