Group GAP4(60,9)

Name: C5 x A4
Maximal quotients:GAP4(12,3) GAP4(15,1)
Real polynomial:
x^60-207*x^58+17937*x^56-866488*x^54+26330900*x^52-538852575*x^50+7751597619\
*x^48-80632342520*x^46+618270392171*x^44-3542408945735*x^42+15321323388929*x\
^40-50438406510683*x^38+127284310898967*x^36-247729181251710*x^34+3736817677\
68963*x^32-438414308012362*x^30+400864228627624*x^28-285766889488774*x^26+15\
8626595371065*x^24-68353977382342*x^22+22749022541066*x^20-5802975056186*x^1\
8+1122080175599*x^16-161896394104*x^14+17045097946*x^12-1268911773*x^10+6389\
2652*x^8-2043755*x^6+37890*x^4-345*x^2+1
Common denominator of the automorphisms:
3570981756335958130111921802305529853972592854268242523315685247925979943952\
865187997939278442910
Complex polynomial:
x^60+108*x^58+5732*x^56+197904*x^54+4961888*x^52+95646848*x^50+1466048192*x^\
48+18250493696*x^46+187053695488*x^44+1592088745984*x^42+11310121424896*x^40\
+67214357577728*x^38+334173334581248*x^36+1387330385362944*x^34+479208711346\
5856*x^32+13700818577588224*x^30+32200680389148672*x^28+61670313932881920*x^\
26+95190381170262016*x^24+116845468385804288*x^22+112354713928728576*x^20+83\
358480638935040*x^18+47137779880034304*x^16+20156077274300416*x^14+647573308\
1784320*x^12+1545514520674304*x^10+267445398929408*x^8+32041529769984*x^6+24\
34709585920*x^4+96636764160*x^2+1073741824
Common denominator of the automorphisms:
1029716997063063227099662961993654866334297128396473581496781007990038279659\
71977718577429266614999300902698423264090446261530359693836288

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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