Group GAP4(60,13)

Name: C30 x C2
Maximal quotients:GAP4(12,5) GAP4(20,5) GAP4(30,4)
Real polynomial:
x^60+x^59-59*x^58-59*x^57+1652*x^56+1652*x^55-29205*x^54-29206*x^53+365858*x\
^52+365911*x^51-3455283*x^50-3456610*x^49+25555165*x^48+25576040*x^47-151774\
420*x^46-152005895*x^45+736435575*x^44+738359710*x^43-2954699505*x^42-296714\
8435*x^41+9884192465*x^40+9948442336*x^39-27719753139*x^38-27988718303*x^37+\
65376722982*x^36+66300448110*x^35-129817906185*x^34-132440258616*x^33+216872\
352773*x^32+223054424991*x^31-304020683017*x^30-316148996165*x^29+3559877690\
19*x^28+375788244919*x^27-345781964492*x^26-372626268572*x^25+275904913025*x\
^24+306001664205*x^23-178390209564*x^22-206116894829*x^21+91659558439*x^20+1\
12461582460*x^19-36344721025*x^18-48903422364*x^17+10585785725*x^16+16591560\
192*x^15-2040847451*x^14-4269135797*x^13+177236099*x^12+801224580*x^11+23384\
141*x^10-103646895*x^9-9386750*x^8+8446669*x^7+1230376*x^6-364750*x^5-74928*\
x^4+4624*x^3+1728*x^2+96*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^60+x^59-x^53-x^52-x^49-x^48+x^46+x^45+x^42+x^41-x^39+x^37-x^35-x^34+x^32-x\
^30+x^28-x^26-x^25+x^23-x^21+x^19+x^18+x^15+x^14-x^12-x^11-x^8-x^7+x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 15 Sep 2015 15:28:33 +0200
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