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Latex name of generators of number fields extending other number field

If I run this code

G.<alpha> = NumberField(x^2-2,latex_name='alpharedefined')
print latex(alpha) #show(alpha)
P.<t> = G[]
H.<beta> = NumberField(t^4-alpha,latex_name='betaredefined')
print latex(beta) #show(beta)

I don't get the latex name of beta redefined. It works for alpha ... Anyone can see where the problem is?