Group GAP4(72,27)

Name: C12 x S3
Maximal quotients:GAP4(24,5) GAP4(24,9) GAP4(36,12)
Real polynomial:

x^72-360*x^70+56700*x^68-5250000*x^66+323424900*x^64-14202918000*x^62+464615\
991000*x^60-11671661700000*x^58+230190174315000*x^56-3623740771750000*x^54+4\
6117286538750000*x^52-479168848527750000*x^50+4096039782603375000*x^48-28978\
059120840000000*x^46+170437550475791250000*x^44-836166649813237500000*x^42+3\
429582626873193750000*x^40-11775983473731375000000*x^38+33867016550826218750\
000*x^36-81553950980898750000000*x^34+164255303229901875000000*x^32-27616215\
1551421875000000*x^30+386516539547676562500000*x^28-448650286296328125000000\
*x^26+429826238226175781250000*x^24-337819692585937500000000*x^22+2161657493\
68359375000000*x^20-111553942468750000000000*x^18+45880122002343750000000*x^\
16-14814396527343750000000*x^14+3683682158203125000000*x^12-6877068750000000\
00000*x^10+93131015625000000000*x^8-8711132812500000000*x^6+5220703125000000\
00*x^4-17578125000000000*x^2+244140625000000

Common denominator of the automorphisms:

19639812123459659553080492477333043921468675899527483886718750000000

Complex polynomial:

x^72-3*x^66+9*x^60-27*x^54+81*x^48-243*x^42+729*x^36-2187*x^30+6561*x^24-196\
83*x^18+59049*x^12-177147*x^6+531441

Common denominator of the automorphisms:

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