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Table A.1:

Convergence of the eigenvalues and eigenvectors of the slowest decaying poloidal and toroidal modes$^{\rm a}$.
N $E(\lambda)~[A]$ $E(\vec{B})~[A]$ $E(\lambda)~[B]$ $E(\vec{B})~[B]$
3 1.08e-7 3.98e-9 3.83e-5 6.849e-4
4 5.651e-11 1.255e-12 9.984e-8 4.365e-9
5 9.68e-14 2.142e-16 1.207e-10 2.497e-12
6 7.72e-14 2.136e-20 8.707e-14 9.068e-16
7 1.38e-14 1.325e-24 1.77e-14 4.80e-19
8 1.90e-14 4.427e-29 5.32e-15 6.263e-23

$^{\rm a}$ N is the number of modes in the radial basis, and $E(\lambda) [A]$ and $E(\vec{B}) [A]$ are the errors of eigenvalue and eigenvector for the poloidal mode and $E(\lambda) [B]$ and $E(\vec{B}) [B]$ the corresponding errors for the toroidal mode.


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