Group GAP4(128,988)
Name: C32 x C2 x C2
Maximal quotients:GAP4(64,50) GAP4(64,183)
Real polynomial:
x^128-192*x^126+17760*x^124-1054464*x^122+45173552*x^120-1488299136*x^118+39\
249791872*x^116-851564509440*x^114+15503958621848*x^112-240441387558144*x^11\
0+3213445859734848*x^108-37355389572170496*x^106+380560375282176320*x^104-34\
18811080646648064*x^102+27224249317719332992*x^100-193002143922656916480*x^9\
8+1222663542697559241900*x^96-6943406218330660571520*x^94+354445715330849750\
80960*x^92-163030300910199122184960*x^90+677050558084286950924640*x^88-25432\
08899528282000087040*x^86+8654076109794625888554880*x^84-2671242706169203691\
3932800*x^82+74877487496315555186158720*x^80-190786297985137660597622016*x^7\
8+442221488172446812275965312*x^76-933033319343366588746874880*x^74+17927434\
55166662939868573248*x^72-3137862443793934399085704704*x^70+5003888022309814\
889558228992*x^68-7269987376211003075738993664*x^66+962135787400440803044776\
8463*x^64-11594912745806926811084224704*x^62+12717545547173723782303802944*x\
^60-12686472660332291983768749696*x^58+11499884774124290758089074864*x^56-94\
62044863339247145325262592*x^54+7057378266295922807894950720*x^52-4764231791\
231832108261159168*x^50+2905659093457926037310468240*x^48-159766564301301087\
3575905920*x^46+790071948325433490114488640*x^44-350416201331838498191823360\
*x^42+138951811501459289985009440*x^40-49083799591166359856359680*x^38+15382\
096394386913358685952*x^36-4256472051613148248140288*x^34+103441850894704231\
1491948*x^32-219411364507478745021696*x^30+40329561110952441477568*x^28-6370\
418753893844861184*x^26+856344367177975801920*x^24-96836916431532628224*x^22\
+9084965034116985472*x^20-695282614845828096*x^18+42505346313780912*x^16-202\
0966676973312*x^14+72148975304960*x^12-1842980755968*x^10+31424093888*x^8-32\
1598464*x^6+1659648*x^4-3072*x^2+1
Common denominator of the automorphisms:
9404288552774763428922651244706134442900854749559338214975753913233470062171\
6542057077280327880291465350506825581947868942193873850233021575615936249059\
8963755649544221767383987827679553784791118479341534112021036811860726096167\
2453634780786547366736475511736557513851324495214370407415319449164973165300\
0204305205589964038741110738146140632628569311913448728278143761858925981576\
01
Complex polynomial:
x^128-x^64+1
Common denominator of the automorphisms:
1
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.