Group GAP4(78,5)

Name: D78
Maximal quotients:GAP4(6,1) GAP4(26,1)
Real polynomial:
x^78-2054*x^76+1932229*x^74-1111050564*x^72+439430801992*x^70-12748687631981\
6*x^68+28246368077168644*x^66-4912551852611622336*x^64+684059504313210651886\
*x^62-77405642884514983408708*x^60+7199956614110887543666022*x^58-5555258744\
67929560177411208*x^56+35813720830167256798077974796*x^54-194045706633485919\
7907623300616*x^52+88777639975685608941287374812628*x^50-3442343697238863542\
393601544538912*x^48+113443891159708903015676579323447353*x^46-3183899729650\
518068820793483104758246*x^44+76195973611553619572288826900006950141*x^42-15\
55669197397575923868435099589084094548*x^40+27089832510502429587264024739004\
986502020*x^38-401931022769588651869164751743309334454400*x^36+5071578289935\
166274964279186655716976611328*x^34-5427158331193017467114910622842732474942\
1568*x^32+490656031862293068333742693958838837339510784*x^30-372873167837169\
3783359379104471657911416569856*x^28+236635667170045676688928108608723369234\
49360384*x^26-124358573651895636256234154066079263864623464448*x^24+53534269\
0154081183158579853984877991057344954368*x^22-186129260610844635056771015093\
0207653179082932224*x^20+5130085411366458232858164152999007207571631112192*x\
^18-10930738769255742965186259391318973982664659304448*x^16+1739151298607076\
6257654784725411799502448893100032*x^14-196778069956225340192658231369156666\
40939130028032*x^12+14781957064809846426712015491089554501635214934016*x^10-\
6764464278646892759309426944936678670053362630656*x^8+1795103770363845934383\
258869627720410315551145984*x^6-26501020304914444946625309358741627996687302\
6560*x^4+19809909175629394127505656629359109332585676800*x^2-567195914231027\
281650321538168615356019507200
Common denominator of the automorphisms:
2476302427745571108769818694350615210002778943351970082091929001143897967589\
8428557026863155433385230722818759405535624355995144678210446398658832654598\
8773072576431984989424185365577645349017486548794353050715624938366708235148\
3487814683062288665785428608506997648274745238252263404555528808963549080418\
1843256511930169412069385672435649972291453155225226697844417072930129077810\
3293547147215875430087789401868776206113893470983555200750391354944427223901\
9884327156496465920000
Complex polynomial:
x^78+339147*x^72+1939946436*x^66+224179084764828*x^60+9507949300634478174*x^\
54+207615857025692404060218*x^48+644048301857317489195423668*x^42-1213756871\
537482339991541878196*x^36+429350169297646213747974185506857*x^30+1910639147\
9838493747665973414888178451*x^24-27052896257004239019625031502833782819584*\
x^18+9989021915780693593148435567757506688000000*x^12+3086155972129086136265\
33343442176000000000000*x^6+9609513871723454275124568768000000000000000000
Common denominator of the automorphisms:
4264935589951825950016585890861344572365741276682405101920776658564775326801\
9562130902495920475867301320102405734400000000000000000

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.