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For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.

Therefore the types you ask for are $E_6$ and $E_8$ (see Scott papers on Grassmannians for example), for which you can easily find the number of clusters using the usual formula expressing them in terms of the exponents (see the Y-system article of Fomin and Zelevinsky in the Annals for example). The numbers of clusters are 833 and 25080.

The number of cluster variables are smaller: 42 and 128.

For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.

Therefore the types you ask for are $E_6$ and $E_8$ (see Scott - Grassmannians and cluster algebras), for which you can easily find the number of clusters using the usual formula expressing them in terms of the exponents (see the Y-system article Fomin and Zelevinsky - $Y$-systems and generalized associahedra in the Annals for example). The numbers of clusters are 833 and 25080.

The number of cluster variables are smaller: 42 and 128.

For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.

Therefore the types you ask for are $E_6$ and $E_8$ (see Scott papers on Grassmannianns for example), for which you can easily find the number of clusters using the usual formula expressing them in terms of the exponents (see the Y-system article of Fomin and Zelevinsky in the Annals for example). The numbers of clusters are 833 and 25080.

The number of cluster variables are smaller: 42 and 128.

For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.

Therefore the types you ask for are $E_6$ and $E_8$ (see Scott papers on Grassmannians for example), for which you can easily find the number of clusters using the usual formula expressing them in terms of the exponents (see the Y-system article of Fomin and Zelevinsky in the Annals for example). The numbers of clusters are 833 and 25080.

The number of cluster variables are smaller: 42 and 128.

For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.

Therefore the types you ask for are $E_6$ and $E_8$ (see Scott papers on Grassmannianns for example), for which you can easily find the number of cluster variables using the usual formula expressing them in terms of the exponents (see the Y-system article of Fomin and Zelevinsky in the Annals for example). These numbers are 833 and 25080.

For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.

Therefore the types you ask for are $E_6$ and $E_8$ (see Scott papers on Grassmannianns for example), for which you can easily find the number of clusters using the usual formula expressing them in terms of the exponents (see the Y-system article of Fomin and Zelevinsky in the Annals for example). The numbers of clusters are 833 and 25080.

The number of cluster variables are smaller: 42 and 128.