Group GAP4(112,41)

Name: C2 x ((C2 x C2 x C2) : C7)
Maximal quotients:GAP4(14,2) GAP4(56,11)
Real polynomial:
x^112-1160*x^110+585800*x^108-172826080*x^106+33853044440*x^104-474533688374\
4*x^102+500238417107680*x^100-41075209181701376*x^98+2696155277239846960*x^9\
6-144302477859044098304*x^94+6395910594964030585088*x^92-2376938628513875301\
06880*x^90+7481782946410901075600384*x^88-201133494404957223300748800*x^86+4\
650304802079765776129964544*x^84-93014073951650946816495046656*x^82+16175404\
26523791703876824240384*x^80-24561397262609622882384374208512*x^78+326834694\
991053148022837882877952*x^76-3823295291033336675292495544647680*x^74+394221\
81392633138966927816731990016*x^72-359102773573931890347737465722478592*x^70\
+2895312525200009828450934564252680192*x^68-20694195260268822142431117587658\
178560*x^66+131286668317126148008354064453686431744*x^64-7399913870082471961\
84541490810380255232*x^62+3708167833153003036812888446894847393792*x^60-1652\
6950091799272167137186476915592134656*x^58+655214453322793100039961769589127\
73980160*x^56-231031535332850375103409411059563924553728*x^54+72423045767481\
0034163335568696219999141888*x^52-201696446751392231716254805245340057547571\
2*x^50+4985468318918775864377677198029347488858112*x^48-10922820010274194805\
404712850288380299182080*x^46+21177472787948301441383616229316597505851392*x\
^44-36262295400515619894592552338849506751676416*x^42+5470604082258493277434\
6308162142308072947712*x^40-72506486545094390047423466733255312531259392*x^3\
8+84144080419931767896189774355063050124394496*x^36-851665057659304995682597\
29302428038373310464*x^34+74837191047788110230312610137340246578167808*x^32-\
56785544789741537187370408467985895805419520*x^30+36974424602504944774337439\
046957590007250944*x^28-20507263509637360614971849306544965402230784*x^26+96\
04792308472109178450450380547393981513728*x^24-37599638305166635884440442605\
83165118119936*x^22+1215319355121613009521773042981119073452032*x^20-3196370\
45715623776571773304240175719645184*x^18+67208491003888934514827871100206407\
745536*x^16-11057965997032749075484458355606480224256*x^14+13866102900101908\
57847803802594731622400*x^12-128216762545551064546074238312775680000*x^10+83\
80776755085687537149363093504000000*x^8-365959317742834974834714214400000000\
*x^6+9845247775462041866731520000000000*x^4-14267661609902224179200000000000\
0*x^2+819603722995302400000000000000
Common denominator of the automorphisms:
2927274991425420245185137402609978663185195741192014422317916199271662671376\
3759053586281282295183370386075935958794359762697575855141074205124339327458\
2673397469524817267744930280114952633632904076091694819272234772403937539635\
0574988432152376246847840037193502000194348711344498340362422472304675289933\
0034013593766068227933654056907260512049999289505347912884646700801677911231\
4978676672965468678651238107412012736564330933794804562524498999566581235196\
9693274026249677458071588743270166726606170997329183502796557847977026597303\
7175923610838416721756701415512007239354092670369499595074712754874474087325\
81014861919723890174412259983360000000000000
Complex polynomial:
x^112+24*x^108+11760*x^104+904320*x^100+20907776*x^96+658526208*x^92+7220509\
0816*x^88+2594123677696*x^84+53768082620416*x^80+2521078574874624*x^76+74238\
456088231936*x^72+290991030109470720*x^68-2537571370754113536*x^64+396466285\
50056869888*x^60-176218689901841874944*x^56-767415129576438759424*x^52+33138\
4304562169970688*x^48+78288858053212924542976*x^44+252444919278661848268800*\
x^40+255162969029796838768640*x^36+140422911394690101149696*x^32+54862519188\
657933385728*x^28+11532984136744113799168*x^24+701207787969307475968*x^20+35\
900162954607198208*x^16+15597091409490870272*x^12+297237575406452736*x^8-360\
287970189639680*x^4+72057594037927936
Common denominator of the automorphisms:
3012189123123541637549004512855621323411650503401255123137787129006732707328\
1810734997459889018738585767506766910912218657601982618256032396514745017666\
4156330741307497051047160991489802353727958912335872

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.