Group GAP4(60,5)

Name: A5
Maximal quotient:GAP4(1,1)
Real polynomial:
x^60-140*x^58+8962*x^56-349004*x^54+9281997*x^52-179459940*x^50+2622109990*x\
^48-29719781716*x^46+266207543682*x^44-1910319109676*x^42+11095474620692*x^4\
0-52563954956400*x^38+204281424710227*x^36-653986614195780*x^34+172945529665\
6102*x^32-3783628490800600*x^30+6850229089190124*x^28-10254491774064432*x^26\
+12664664730760114*x^24-12858160682270580*x^22+10675125664367888*x^20-719414\
0516124584*x^18+3896171024913456*x^16-1672708439727652*x^14+558669565282993*\
x^12-141344127824520*x^10+26042366139708*x^8-3282605673664*x^6+253209600496*\
x^4-9311200896*x^2+50353216
Common denominator of the automorphisms:
1057815317320399303406113132288113350781202957866287925825357066778318642502\
30507698162928630654104391569849285135074348796716819962112
Complex polynomial:
x^60-16*x^56+48*x^54+514*x^52-560*x^50-1580*x^48+20160*x^46+40815*x^44-17259\
2*x^42-38908*x^40+613648*x^38+186108*x^36-2751520*x^34+12004648*x^32+2286195\
2*x^30+18224495*x^28+96844064*x^26+142766808*x^24+126657488*x^22+224374850*x\
^20+280953360*x^18+239590468*x^16+152301504*x^14+108022273*x^12+108841232*x^\
10+65412020*x^8+15796208*x^6-843808*x^4+2309184*x^2+1420864
Common denominator of the automorphisms:
2807852261800774258542145805172137270628617832148002313133147393627771742715\
904

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