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Table 1.

Values of (r, θ) and corresponding (h, x) for several spins.

Values Plot (a)
a 0.998
r, rg 3 3 3 9 9 9
θ, ° 15 30 60 15 30 60
h, rg 2.9 2.6 1.5 8.7 7.8 4.5
x, rg 0.8 1.6 2.7 2.3 4.5 7.8

Values Plot (b) Plot (c)

a 0.998 0 −0.998
r, rg 2 3 5 10 1.24 6 9
θ, ° 30 30 30 30 60 60 60
h, rg 1.7 2.6 4.3 8.7 0.6 3.0 4.5
x, rg 1.1 1.6 2.5 5.0 1.4 5.2 7.8

Notes. The table shows the values in spherical coordinates, displayed in Fig. 4 and corresponding values in terms of height and ring radius, obtained with Eq. (4). We do not display cases where θ = 0°, because, in these cases, r ≡ h.

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