Group GAP4(96,86)

Name: (C4 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,33) GAP4(48,37) GAP4(48,39)
Real polynomial:

x^96-432*x^94+88704*x^92-11532176*x^90+1066896132*x^88-74846893488*x^86+4143\
350966336*x^84-185966534254416*x^82+6900964024003602*x^80-214849955995060944\
*x^78+5675607879090191616*x^76-128350601249504660976*x^74+250249163380869764\
2964*x^72-42308004818022654754128*x^70+623110464563708236650816*x^68-8024887\
751464619236733104*x^66+90650415157414083669690975*x^64-90036249253211849742\
8027616*x^62+7877908818940549293985791232*x^60-60809917422087902893329417120\
*x^58+414519143953112251716286146696*x^56-2496798301299229733735035763424*x^\
54+13291860404829995457755671314048*x^52-62529180634007565471857697379104*x^\
50+259801867832305575681128852202172*x^48-952502437508253442321997406716832*\
x^46+3077399730134188889502618389334528*x^44-8746705896759759651846532562654\
688*x^42+21822467047654821214056840396162888*x^40-47666074404172602642510723\
733841568*x^38+90861663039054607539105076223521408*x^36-15058608669264670138\
8853280194132320*x^34+216025999856869397392739997648133071*x^32-266874399035\
129103634896983341869680*x^30+282214774408551973028836443023088768*x^28-2536\
77874125713599773186813552282576*x^26+192244864302618384136672535818456436*x\
^24-121646950153700221861886630204592240*x^22+635374889723510165162868196726\
25472*x^20-27015632811474873964815514199983248*x^18+919258303102251478408842\
7982623314*x^16-2449737582287935497585392889793680*x^14+49703785687729977774\
0329464333568*x^12-73866750882598462454140611581232*x^10+7601965970867442496\
006923231204*x^8-496261287756137838399998122768*x^6+176808635042917951287276\
49344*x^4-261620973417563253719785200*x^2+1256662893048235682136241

Common denominator of the automorphisms:

8690157186173246593373825467875269181442870578135691612629159581637909477239\
7882274159876729741169154192879574878633860774808622890799133484704328055919\
4341476523711170571913535536531145672621023535476740851177468432227424312221\
6899169520427928552455915438514735399877742753850523955550106280528576096615\
249814503098727368186675822798907252062721170263244800

Complex polynomial:

x^96-576*x^90+884424*x^84+50198400*x^78+8551636380*x^72-30801212928*x^66+212\
255231544*x^60+2089833079104*x^54-8531893010394*x^48+56425493135808*x^42+154\
734063795576*x^36-606260274061824*x^30+4544690189423580*x^24+720292173148800\
*x^18+342643978563336*x^12-6025163444928*x^6+282429536481

Common denominator of the automorphisms:

405536404099052260329308494538025575076469779566592

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.