$$y^{4}+1; y^{n+1}$$
$\left(y^{2}+1\right)\left(y^{4}+1\right)$
$$\left(y^{2}+1\right)\left(y^{4}+1\right)$$
$$y^{6}+y^{4}+y^{2}+1$$
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$y^{4}+1,\ y^{2}+1,\ y^{2}+1$