Group GAP4(54,13)

Name: C3 x ((C3 x C3) : C2)
Maximal quotients:GAP4(18,3) GAP4(18,4)
Real polynomial:

x^54-252*x^52+28350*x^50-1902024*x^48+85706397*x^46-2768023692*x^44+66738578\
994*x^42-1234857637944*x^40+17880581417454*x^38-205509209796360*x^36+1894312\
398532428*x^34-14107448347891920*x^32+85308419148982785*x^30-420113687960466\
108*x^28+1686790669896319176*x^26-5518313452722979872*x^24+14674936537186219\
728*x^22-31589532167580289728*x^20+54699401537904087936*x^18-755278153817849\
62560*x^16+82185683280836083200*x^14-69368153472702720000*x^12+4444358076797\
1840000*x^10-20968608655411200000*x^8+6966775490112000000*x^6-15179277657600\
00000*x^4+190468454400000000*x^2-10077696000000000

Common denominator of the automorphisms:

1046819231565090945631107226341183758612149859902658980395614485257968672991\
771648000000000

Complex polynomial:

x^54-9*x^51+108*x^48-633*x^45+3609*x^42-15291*x^39+53619*x^36-140076*x^33+27\
7983*x^30-393559*x^27+426240*x^24-373086*x^21+272724*x^18-103905*x^15+26856*\
x^12-4926*x^9+567*x^6-36*x^3+1

Common denominator of the automorphisms:

294290018391691221957

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