Group GAP4(60,3)

Name: C15 : C4
Maximal quotients:GAP4(12,1) GAP4(20,1) GAP4(30,3)
Real polynomial:

x^60-4812*x^58+10581588*x^56-14229923694*x^54+13188557443482*x^52-8990157586\
451724*x^50+4692792415573944351*x^48-1927014164304006714489*x^46+63425451645\
6294793898097*x^44-169563835862084580801144255*x^42+371682234440118778390345\
71522*x^40-6723298690169061960035950322403*x^38+1007748558543956439110339675\
239569*x^36-125433949767781426131537838932346674*x^34+1297029430318787907189\
4437116164214994*x^32-1112830806585366604681367580262587185865*x^30+79000088\
030324694501640708800219818828373*x^28-4619421094009092102805425409038499927\
350795*x^26+221073674025497275381734871723608140983406436*x^24-8585072942115\
310213412225156642314746709930101*x^22+2674738993896198588858301254967928828\
54208614853*x^20-6586535543450692759043118654915350119144178394750*x^18+1256\
68524079133895303691972495759313575634742598782*x^16-18081519926917916553951\
35305721582412472133479259658*x^14+18887259322057469748718799177189870476832\
807289938595*x^12-135426006806902915755491592269340934596042652678481268*x^1\
0+610144336029867651618814796460469556464928927882622735*x^8-148078658119046\
0470164504462619864498918397142599385147*x^6+1447542062549070604073652545028\
232218844243063305308559*x^4-56533309391698476300476152759765164478943671110\
3825450*x^2+68065836751202819993443687867643159607057278637456801

Common denominator of the automorphisms:

1412998756898438752287838521963062079082674674046400562042442352517046476575\
0524066888316909120303327539973662169830425952876140061293530865361337504255\
899844376739942435244214948528554194028929831

Complex polynomial:

x^60-66000*x^55+8038632096*x^50-229578866000000*x^45+14853388752099507456*x^\
40+156549357033620981760000*x^35+3574872580010210105717815296*x^30+200752650\
57924559233778046976000*x^25+197731177336360785109331636430667776*x^20+42602\
654241898383221046455274618880000*x^15+1266224947521898900049358812979855360\
0000*x^10+1274119813671649959862659688943616000000000*x^5+178681879233396810\
942042150438922240000000000

Common denominator of the automorphisms:

1112777340290903446710025958804054299269455779240763306935568008642835293182\
0718304747520000000000

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.