Group GAP4(54,8)

Name: ((C3 x C3) : C3) : C2
Maximal quotient:GAP4(18,4)
Real polynomial:

x^54-228*x^52+23826*x^50-1517668*x^48+66118575*x^46-2095656984*x^44+50189412\
252*x^42-931213342488*x^40+13617302298639*x^38-158842735431828*x^36+14905571\
14344306*x^34-11317791318891444*x^32+69800117372205185*x^30-3504070560901824\
48*x^28+1432966272418032480*x^26-4770644197168271312*x^24+129030446480087929\
92*x^22-28244398553160734400*x^20+49741497919270273696*x^18-6986608778667281\
4720*x^16+77298244462363156992*x^14-66186549141609920256*x^12+42769784081580\
125184*x^10-20106522441825214464*x^8+6505259110589511936*x^6-132553325727662\
2848*x^4+145974416129888256*x^2-6454803873189888

Common denominator of the automorphisms:

9900723510595712928118209250574241899123373424131711653892043235431117370104\
774238748260405476446928587585537841152

Complex polynomial:

x^54-30*x^51+549*x^48+18992*x^45+146856*x^42+486552*x^39+552752*x^36-1227600\
*x^33+4960770*x^30-2350516*x^27+4960770*x^24-1227600*x^21+552752*x^18+486552\
*x^15+146856*x^12+18992*x^9+549*x^6-30*x^3+1

Common denominator of the automorphisms:

84724724969051904

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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