Group GAP4(80,6)

Name: C40 : C2
Maximal quotients:GAP4(16,8) GAP4(40,6)
Real polynomial:
x^80-640*x^78+197120*x^76-38912000*x^74+5531646988*x^72-603258821376*x^70+52\
499711597568*x^68-3744620110774272*x^66+223115061803898052*x^64-112624331842\
98141696*x^62+486783119476034740224*x^60-18162319150833983029248*x^58+588641\
296014551598698432*x^56-16650979480631100925775872*x^54+41255355072260170316\
6918656*x^52-8975822267018882633322463232*x^50+17176795268970986283133611238\
4*x^48-2893766756243742093003563565056*x^46+42924266825208926229773983547392\
*x^44-560304894550085019541920947372032*x^42+6428311969947436321732805169299\
456*x^40-64697848313795208434635268886102016*x^38+56971784535698476544932664\
2828673024*x^36-4374496195567778928605882455307583488*x^34+29163911226119363\
479477488731046543360*x^32-167936929004755318686600013740792348672*x^30+8300\
00523971708831896596186511882321920*x^28-34939499190530827532653334954597207\
24480*x^26+12411852494060931323391488358023457406976*x^24-367909123956038017\
64726761601446178717696*x^22+89744505378898540292341210977169525702656*x^20-\
177061130304472237126439775903015780745216*x^18+2763751336842647803431376864\
34744293654528*x^16-331530104008990973564127598508405885501440*x^14+29367594\
9937984343762349435230096164126720*x^12-181212340968737300465445199854595349\
676032*x^10+70918274238585464291732510430285170475008*x^8-147848073122804682\
68945718030167038754816*x^6+1084542648891307915195450401861182423040*x^4-172\
99523074122853546588462323964313600*x^2+17684596214660032479793250824093696
Common denominator of the automorphisms:
7498451604130314460784583854661142621574126208386314126892757189749318398286\
1624463057105887410203394048
Complex polynomial:
x^80-10704*x^72+45919840*x^64+23086510848*x^56-10645055192832*x^48+171463189\
1681280*x^40-6329356026642432*x^32-721948009826353152*x^24+75354826042926694\
40*x^16-5755178111314427904*x^8+1152921504606846976
Common denominator of the automorphisms:
2520629051740064925872566552747988667016724401356800000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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