Group GAP4(60,4)

Name: C60
Maximal quotients:GAP4(12,2) GAP4(20,2) GAP4(30,4)
Real polynomial:
x^60-61*x^58+1769*x^56-32452*x^54+422730*x^52-4160871*x^50+32152185*x^48-200\
058040*x^46+1020107270*x^44-4315838450*x^42+15283145570*x^40-45571561336*x^3\
8+114858935204*x^36-245179650147*x^34+443410005585*x^32-678610095504*x^30+87\
6538040026*x^28-951535947194*x^26+863020975362*x^24-648887951400*x^22+400411\
345620*x^20-200205672810*x^18+79802261190*x^16-24835486320*x^14+5873256900*x\
^12-1018031196*x^10+123058716*x^8-9651664*x^6+438712*x^4-9455*x^2+61
Common denominator of the automorphisms:
1
Complex polynomial:
x^60+x^59+x^58+x^57+x^56+x^55+x^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x\
^45+x^44+x^43+x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^\
30+x^29+x^28+x^27+x^26+x^25+x^24+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^1\
5+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+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
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