Group GAP4(54,10)
Name: C2 x ((C3 x C3) : C3)
Maximal quotients:GAP4(18,5) GAP4(27,3)
Real polynomial:
x^54-171*x^52+12960*x^50-578511*x^48+17047287*x^46-352335771*x^44+5298794811\
*x^42-59393584692*x^40+504352904724*x^38-3281237089857*x^36+16477513252794*x\
^34-64149868450980*x^32+193920940318518*x^30-454611787647606*x^28+8230346121\
47625*x^26-1142018071364187*x^24+1200499436958471*x^22-940110278637546*x^20+\
535445258423283*x^18-214309528537410*x^16+57315252452976*x^14-9492082209639*\
x^12+866014069887*x^10-36812145573*x^8+643512519*x^6-5208462*x^4+19440*x^2-2\
7
Common denominator of the automorphisms:
10383152636264607225691884882278528186714743102427919123175569254400000
Complex polynomial:
x^54+171*x^52+12960*x^50+578511*x^48+17047287*x^46+352335771*x^44+5298794811\
*x^42+59393584692*x^40+504352904724*x^38+3281237089857*x^36+16477513252794*x\
^34+64149868450980*x^32+193920940318518*x^30+454611787647606*x^28+8230346121\
47625*x^26+1142018071364187*x^24+1200499436958471*x^22+940110278637546*x^20+\
535445258423283*x^18+214309528537410*x^16+57315252452976*x^14+9492082209639*\
x^12+866014069887*x^10+36812145573*x^8+643512519*x^6+5208462*x^4+19440*x^2+2\
7
Common denominator of the automorphisms:
10383152636264607225691884882278528186714743102427919123175569254400000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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