\[Alpha]s[1, 1] = 0
 
\[Alpha]s[1, 2] = 0
 
\[Alpha]s[2, 1] = -1/24
 
\[Alpha]s[3, 1] = 0
 
\[Alpha]s[3, 2] = 0
 
\[Alpha]s[4, 1] = 7/5760
 
\[Alpha]s[4, 2] = -7/5760
 
\[Alpha]s[4, 3] = 1/1440
 
\[Alpha]s[5, 1] = 0
 
\[Alpha]s[5, 2] = 0
 
\[Alpha]s[5, 3] = 0
 
\[Alpha]s[5, 4] = 0
 
\[Alpha]s[5, 5] = 0
 
\[Alpha]s[5, 6] = 0
 
\[Alpha]s[6, 1] = -31/967680
 
\[Alpha]s[6, 2] = 31/483840
 
\[Alpha]s[6, 3] = -31/645120
 
\[Alpha]s[6, 4] = -83/967680
 
\[Alpha]s[6, 5] = -31/725760
 
\[Alpha]s[6, 6] = 527/5806080
 
\[Alpha]s[6, 7] = 13/241920
 
\[Alpha]s[6, 8] = 101/1451520
 
\[Alpha]s[6, 9] = -1/60480
 
\[Alpha]s[7, 1] = 0
 
\[Alpha]s[7, 2] = 0
 
\[Alpha]s[7, 3] = 0
 
\[Alpha]s[7, 4] = 0
 
\[Alpha]s[7, 5] = 0
 
\[Alpha]s[7, 6] = 0
 
\[Alpha]s[7, 7] = 0
 
\[Alpha]s[7, 8] = 0
 
\[Alpha]s[7, 9] = 0
 
\[Alpha]s[7, 10] = 0
 
\[Alpha]s[7, 11] = 0
 
\[Alpha]s[7, 12] = 0
 
\[Alpha]s[7, 13] = 0
 
\[Alpha]s[7, 14] = 0
 
\[Alpha]s[7, 15] = 0
 
\[Alpha]s[7, 16] = 0
 
\[Alpha]s[7, 17] = 0
 
\[Alpha]s[7, 18] = 0
 
\[Alpha]s[8, 1] = 127/154828800
 
\[Alpha]s[8, 2] = -127/51609600
 
\[Alpha]s[8, 3] = 127/30965760
 
\[Alpha]s[8, 4] = 2399/464486400
 
\[Alpha]s[8, 5] = -127/77414400
 
\[Alpha]s[8, 6] = 4589/348364800
 
\[Alpha]s[8, 7] = 5783/696729600
 
\[Alpha]s[8, 8] = -2893/464486400
 
\[Alpha]s[8, 9] = 19/9289728
 
\[Alpha]s[8, 10] = -733/23224320
 
\[Alpha]s[8, 11] = -25399/1393459200
 
\[Alpha]s[8, 12] = 3733/232243200
 
\[Alpha]s[8, 13] = -14099/696729600
 
\[Alpha]s[8, 14] = -16483/1393459200
 
\[Alpha]s[8, 15] = 271/58060800
 
\[Alpha]s[8, 16] = -7549/348364800
 
\[Alpha]s[8, 17] = 6857/464486400
 
\[Alpha]s[8, 18] = 3239/174182400
 
\[Alpha]s[8, 19] = 9907/348364800
 
\[Alpha]s[8, 20] = 1661/87091200
 
\[Alpha]s[8, 21] = 449/9676800
 
\[Alpha]s[8, 22] = -1933/348364800
 
\[Alpha]s[8, 23] = -299/5529600
 
\[Alpha]s[8, 24] = -121/7257600
 
\[Alpha]s[8, 25] = -19/9676800
 
\[Alpha]s[8, 26] = 629/12902400
 
\[Alpha]s[8, 27] = -1/30720
 
\[Alpha]s[8, 28] = -493/29030400
 
\[Alpha]s[8, 29] = -49/1382400
 
\[Alpha]s[8, 30] = 1/2419200
 
\[Beta]s[1, 1] = 1/2
 
\[Beta]s[1, 2] = 0
 
\[Beta]s[2, 1] = -1/12
 
\[Beta]s[3, 1] = 0
 
\[Beta]s[3, 2] = 0
 
\[Beta]s[4, 1] = 1/5760
 
\[Beta]s[4, 2] = -1/720
 
\[Beta]s[4, 3] = 1/720
 
\[Beta]s[5, 1] = -1/7680
 
\[Beta]s[5, 2] = 1/3840
 
\[Beta]s[5, 3] = -1/6912
 
\[Beta]s[5, 4] = 0
 
\[Beta]s[5, 5] = 0
 
\[Beta]s[5, 6] = 0
 
\[Beta]s[6, 1] = -1/645120
 
\[Beta]s[6, 2] = 23/483840
 
\[Beta]s[6, 3] = -41/580608
 
\[Beta]s[6, 4] = -13/161280
 
\[Beta]s[6, 5] = -1/22680
 
\[Beta]s[6, 6] = 71/483840
 
\[Beta]s[6, 7] = 1/15120
 
\[Beta]s[6, 8] = 1/12096
 
\[Beta]s[6, 9] = -1/30240
 
\[Beta]s[7, 1] = 1/258048
 
\[Beta]s[7, 2] = -5/387072
 
\[Beta]s[7, 3] = 5/290304
 
\[Beta]s[7, 4] = 1/64512
 
\[Beta]s[7, 5] = -7/1658880
 
\[Beta]s[7, 6] = 1/96768
 
\[Beta]s[7, 7] = -1/60480
 
\[Beta]s[7, 8] = -1/96768
 
\[Beta]s[7, 9] = -1/207360
 
\[Beta]s[7, 10] = 0
 
\[Beta]s[7, 11] = -17/1451520
 
\[Beta]s[7, 12] = 0
 
\[Beta]s[7, 13] = 1/207360
 
\[Beta]s[7, 14] = 0
 
\[Beta]s[7, 15] = 0
 
\[Beta]s[7, 16] = 0
 
\[Beta]s[7, 17] = 0
 
\[Beta]s[7, 18] = 0
 
\[Beta]s[8, 1] = 1/77414400
 
\[Beta]s[8, 2] = -587/464486400
 
\[Beta]s[8, 3] = 929/55738368
 
\[Beta]s[8, 4] = 253/66355200
 
\[Beta]s[8, 5] = 797/232243200
 
\[Beta]s[8, 6] = -3427/348364800
 
\[Beta]s[8, 7] = -4697/99532800
 
\[Beta]s[8, 8] = -43/7257600
 
\[Beta]s[8, 9] = 281/92897280
 
\[Beta]s[8, 10] = 271/30965760
 
\[Beta]s[8, 11] = 29/24883200
 
\[Beta]s[8, 12] = 2281/464486400
 
\[Beta]s[8, 13] = -1/108864
 
\[Beta]s[8, 14] = 1991/174182400
 
\[Beta]s[8, 15] = 73/14515200
 
\[Beta]s[8, 16] = -5653/1393459200
 
\[Beta]s[8, 17] = 47/6451200
 
\[Beta]s[8, 18] = 41/5443200
 
\[Beta]s[8, 19] = 151/14515200
 
\[Beta]s[8, 20] = -1/1088640
 
\[Beta]s[8, 21] = -391/17418240
 
\[Beta]s[8, 22] = -1313/87091200
 
\[Beta]s[8, 23] = -1/92160
 
\[Beta]s[8, 24] = -151/14515200
 
\[Beta]s[8, 25] = -1/403200
 
\[Beta]s[8, 26] = 2459/87091200
 
\[Beta]s[8, 27] = 0
 
\[Beta]s[8, 28] = -1/172800
 
\[Beta]s[8, 29] = -1/172800
 
\[Beta]s[8, 30] = 1/1209600
 
\[Gamma]s[1, 1] = 0
 
\[Gamma]s[1, 2] = 0
 
\[Gamma]s[2, 1] = 0
 
\[Gamma]s[2, 2] = -1/48
 
\[Gamma]s[2, 3] = 0
 
\[Gamma]s[3, 1] = 0
 
\[Gamma]s[3, 2] = 0
 
\[Gamma]s[3, 3] = 0
 
\[Gamma]s[3, 4] = 0
 
\[Gamma]s[4, 1] = 0
 
\[Gamma]s[4, 2] = 1/2880
 
\[Gamma]s[4, 3] = 1/2880
 
\[Gamma]s[4, 4] = 1/5760
 
\[Gamma]s[4, 5] = 1/2880
 
\[Gamma]s[4, 6] = 0
 
\[Gamma]s[5, 1] = 0
 
\[Gamma]s[5, 2] = 0
 
\[Gamma]s[5, 3] = 0
 
\[Gamma]s[5, 4] = 0
 
\[Gamma]s[5, 5] = 0
 
\[Gamma]s[5, 6] = 0
 
\[Gamma]s[5, 7] = 0
 
\[Gamma]s[5, 8] = 0
 
\[Gamma]s[6, 1] = 0
 
\[Gamma]s[6, 2] = -1/120960
 
\[Gamma]s[6, 3] = -1/120960
 
\[Gamma]s[6, 4] = -1/120960
 
\[Gamma]s[6, 5] = -1/120960
 
\[Gamma]s[6, 6] = -1/241920
 
\[Gamma]s[6, 7] = -1/120960
 
\[Gamma]s[6, 8] = -1/120960
 
\[Gamma]s[6, 9] = -1/120960
 
\[Gamma]s[6, 10] = -1/362880
 
\[Gamma]s[6, 11] = -1/120960
 
\[Gamma]s[6, 12] = -1/241920
 
\[Gamma]s[6, 13] = -1/120960
 
\[Gamma]s[6, 14] = 0
 
\[Gamma]s[7, 1] = 0
 
\[Gamma]s[7, 2] = 0
 
\[Gamma]s[7, 3] = 0
 
\[Gamma]s[7, 4] = 0
 
\[Gamma]s[7, 5] = 0
 
\[Gamma]s[7, 6] = 0
 
\[Gamma]s[7, 7] = 0
 
\[Gamma]s[7, 8] = 0
 
\[Gamma]s[7, 9] = 0
 
\[Gamma]s[7, 10] = 0
 
\[Gamma]s[7, 11] = 0
 
\[Gamma]s[7, 12] = 0
 
\[Gamma]s[7, 13] = 0
 
\[Gamma]s[7, 14] = 0
 
\[Gamma]s[7, 15] = 0
 
\[Gamma]s[7, 16] = 0
 
\[Gamma]s[7, 17] = 0
 
\[Gamma]s[7, 18] = 0
 
\[Gamma]s[7, 19] = 0
 
\[Gamma]s[7, 20] = 0
 
\[Gamma]s[8, 1] = 0
 
\[Gamma]s[8, 2] = 1/4838400
 
\[Gamma]s[8, 3] = 1/4838400
 
\[Gamma]s[8, 4] = 1/4838400
 
\[Gamma]s[8, 5] = 1/4838400
 
\[Gamma]s[8, 6] = 1/4838400
 
\[Gamma]s[8, 7] = 1/4838400
 
\[Gamma]s[8, 8] = 1/4838400
 
\[Gamma]s[8, 9] = 1/4838400
 
\[Gamma]s[8, 10] = 1/9676800
 
\[Gamma]s[8, 11] = 1/4838400
 
\[Gamma]s[8, 12] = 1/4838400
 
\[Gamma]s[8, 13] = 1/4838400
 
\[Gamma]s[8, 14] = 1/4838400
 
\[Gamma]s[8, 15] = 1/4838400
 
\[Gamma]s[8, 16] = 1/4838400
 
\[Gamma]s[8, 17] = 1/4838400
 
\[Gamma]s[8, 18] = 1/4838400
 
\[Gamma]s[8, 19] = 1/4838400
 
\[Gamma]s[8, 20] = 1/4838400
 
\[Gamma]s[8, 21] = 1/4838400
 
\[Gamma]s[8, 22] = 1/4838400
 
\[Gamma]s[8, 23] = 1/9676800
 
\[Gamma]s[8, 24] = 1/4838400
 
\[Gamma]s[8, 25] = 1/4838400
 
\[Gamma]s[8, 26] = 1/4838400
 
\[Gamma]s[8, 27] = 1/4838400
 
\[Gamma]s[8, 28] = 1/4838400
 
\[Gamma]s[8, 29] = 1/19353600
 
\[Gamma]s[8, 30] = 1/4838400
 
\[Gamma]s[8, 31] = 1/4838400
 
\[Gamma]s[8, 32] = 1/4838400
 
\[Gamma]s[8, 33] = 1/4838400
 
\[Gamma]s[8, 34] = 1/9676800
 
\[Gamma]s[8, 35] = 1/4838400
 
\[Gamma]s[8, 36] = 0
 
\[Kappa]s[2] = -1/96
 
\[Kappa]s[4] = 1/11520
 
\[Kappa]s[6] = -1/725760
 
\[Kappa]s[8] = 1/38707200
 
\[Kappa]s[d_, 1] := If[OddQ[d], 0, \[Kappa]s[d]]
