Open Access

Table C.1

Values of the real degrees ln of the SCHs with Neumann (SCHNs) or Dirichlet (SCHDs) boundary conditions for various angular radii of the supercontinent (θc).

θc (deg) (0,0) (1,0) (1,1) (2,0) (2,1) (2, 2)
Neumann boundary conditions (SCHNs)
0 0.000000 1.000000 1.000000 2.000000 2.000000 2.000000
10 0.000000 1.014533 0.984857 2.040535 1.957224 1.999318
20 0.000000 1.054431 0.945331 2.139648 1.889718 1.989826
30 0.000000 1.115646 0.900510 2.277970 1.885701 1.956707
40 0.000000 1.196823 0.867186 2.450068 1.948680 1.901867
50 0.000000 1.298769 0.851964 2.657126 2.062763 1.851211
60 0.000000 1.424123 0.856313 2.904340 2.220869 1.827443
70 0.000000 1.577470 0.880927 3.200567 2.423975 1.840734
80 0.000000 1.765876 0.927569 3.559164 2.679212 1.896224
90 0.000000 2.000000 1.000000 4.000000 3.000000 2.000000
100 0.000000 2.296162 1.105011 4.553241 3.408276 2.162574
110 0.000000 2.680266 1.254256 5.266546 3.939640 2.402474
120 0.000000 3.195691 1.467987 6.219529 4.654189 2.752588
130 0.000000 3.920704 1.783375 7.555648 5.660659 3.273969
140 0.000000 5.012005 2.275396 9.561941 7.176982 4.090469
150 0.000000 6.835398 3.119597 12.908284 9.712069 5.492825
160 0.000000 10.488504 4.843239 19.604445 14.793105 8.355251
170 0.000000 21.459763 10.083479 39.699467 30.056683 17.051968

Dirichlet boundary conditions (SCHDs)
0 0.000000 1.000000 1.000000 2.000000 2.000000 2.000000
10 0.201220 1.286874 1.014533 2.359807 2.040535 2.000661
20 0.274502 1.424749 1.054431 2.561533 2.139648 2.009153
30 0.346184 1.568297 1.115646 2.777734 2.277970 2.037781
40 0.422281 1.726592 1.196823 3.019705 2.450068 2.095353
50 0.506293 1.905895 1.298769 3.296147 2.657126 2.186686
60 0.601509 2.112863 1.424123 3.616943 2.904340 2.315699
70 0.711801 2.355851 1.577470 3.994876 3.200567 2.487779
80 0.842253 2.646183 1.765876 4.447503 3.559164 2.711416
90 1.000000 3.000000 2.000000 5.000000 4.000000 3.000000
100 1.195606 3.441373 2.296162 5.690014 4.553241 3.374653
110 1.445566 4.008030 2.680266 6.576628 5.266546 3.869485
120 1.777288 4.762779 3.195691 7.758259 6.219529 4.542151
130 2.240037 5.818619 3.920704 9.412016 7.555648 5.497155
140 2.932276 7.401491 5.012005 11.892079 9.561941 6.944195
150 4.083687 10.038551 6.835398 16.024836 12.908284 9.373283
160 6.383235 15.311204 10.488504 24.289410 19.604445 14.255320
170 13.275607 31.126398 21.459763 49.081367 39.699467 28.946234

Notes. The values are given for the doublets (n, |m|) such that n = 0,1,2 and |m| ≤ n.

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