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I want to construct a table with a header like

$[\alpha_{0,0}, \alpha_{0,1},...\alpha_{1,0},\alpha_{1,1},...]$

but I do not want to enter the indices by hand. How can I do ?

Also I find the show result of the following command a little bit strange

α = var("α_", n=11,latex_name='\alpha_')
αα = list(α)
show(αα)
αα

Can some one explain