50 eigenvalues (ß_k) that were used to obtain the presented analytical results. 
The corresponding eigenvectors (A_k) are not presented due to the large amount of data.

2.82776, 32.1473, 93.4749, 186.805, 312.136, 469.468, 658.8, 880.132, 1133.46, 
1418.8, 1736.13, 2085.46, 2466.8, 2880.13, 3325.46, 3802.79, 4312.13, 4853.46, 
5426.79, 6032.13, 6669.46, 7338.79, 8040.13, 8773.46, 9538.79, 10336.1, 11165.5, 
12026.8, 12920.1, 13845.5, 14802.8, 15792.1, 16813.5, 17866.8, 18952.1, 20069.5, 
21218.8, 22400.1, 23613.5, 24858.8, 26136.1, 27445.5, 28786.8, 30160.1, 31565.5, 
33002.8, 34472.1, 35973.5, 37506.8, 39072.1

Coefficients of the series (C_k) for Br = 0.0004

-1.17719, -0.318435, -0.176328, 0.119801, 0.0898598, 0.0714734, 0.0591057, 0.0502548, -0.04363, -0.0384996,,
-0.0344193, 0.0311038, -0.0283621, -0.0260613, 0.0241067, 0.0224286, 0.0209748, -0.0197055, 0.0185898, -0.0176034,
0.0167269, -0.0159448, 0.0152444, -0.0146152, 0.0140488, -0.013538, 0.0130769, 0.0126607, -0.0122852, -0.011947,
0.0116435, -0.0113724, -0.011132, -0.0109212, 0.0107392, -0.0105858, 0.0104614, -0.0103671, 0.0103049, -0.0102777, 
0.0102903, -0.0103496, 0.0104657, -0.0106549, 0.0109429, 0.0113742, 0.0120334, 0.0131068, -0.0151218, -0.0206364

Coefficients of the series (C_k) for Br = 0.04

-1.16231, -0.315754, -0.175486, 0.119417, 0.0896484, 0.0713425, 0.059018, 0.0501927, -0.043584, -0.0384645, 
-0.0343917, 0.0310817, -0.028344, -0.0260464, 0.0240941, 0.0224179, 0.0209656, -0.0196975, 0.0185828, -0.0175973, 
0.0167215, -0.01594, 0.01524, -0.0146113, 0.0140452, -0.0135347, 0.013074, 0.012658, -0.0122827, -0.0119447, 
0.0116414, -0.0113704, -0.0111302, -0.0109195, 0.0107375, -0.0105842, 0.0104599, -0.0103657, 0.0103036, -0.0102765, 
0.0102892, -0.0103484, 0.0104646, -0.0106538, 0.0109418, 0.0113731, 0.0120324, 0.0131056, -0.0151205, -0.0206348

Coefficients of the series (C_k) for Br = 4.0

0.325703, -0.0476129, -0.0912679, 0.0810778, 0.0685102, 0.0582489, 0.0502472, 0.0439776, -0.0389893, -0.0349534, 
-0.0316365, 0.0288719, -0.026539, -0.0245491, 0.0228354, 0.0213474, 0.0200459, -0.0189002, 0.017886, -0.0169839, 
0.016178, -0.0154554, 0.0148057, -0.01422, 0.0136911, -0.0132128, 0.01278, 0.0123886, -0.0120349, -0.011716, 
0.0114295, -0.0111736, -0.0109466, -0.0107478, 0.0105764, -0.0104325, 0.0103167, -0.0102299, 0.0101744, -0.0101531, 
0.0101707, -0.0102342, 0.0103539, -0.0105456, 0.0108351, 0.0112666, 0.011924, 0.0129922, -0.0149946, -0.0204693

Coefficients of the series (C_k) for Br = 400.0

149.127, 26.7665, 8.33052, -3.75288, -2.04531, -1.25111, -0.826834, -0.577531, 0.420483, 0.316157, 
0.243892, -0.192113, 0.153961, 0.125182, -0.103037, -0.085701, -0.0719243, 0.0608314, -0.0517947, 0.0443561, 
-0.0381756, 0.0329968, -0.0286239, 0.0249056, -0.0217233, 0.0189835, -0.0166115, -0.0145472, 0.0127419, 0.0111557,
-0.0097558, 0.00851488, 0.0074102, 0.00642261, -0.00553588, 0.00473614, -0.00401144, 0.00335133, -0.00274661, 0.00218895, 
-0.00167062, 0.0011842, -0.000722083, 0.000275925, 0.000164478, 0.000613297, 0.00109358, 0.00165106, -0.00240676, -0.00392029