L38:=[
[ 0.0, 0.291884247163529335329438909826, 0.0, 0.0, 0.0, 0.0332098262220707214606174993296 + 0.360146130529399900035685699022*I, 0.0, 0.0, 0.0,  0.118789710575408244854565223372 + 0.0386433033841751076782572599441*I, 0.0, 0.0, 0.0, -0.0495982226916494224578553498010 - 0.480188377084663826158607620331*I, 0.0, 0.0, 0.0, 0.188016746457265413404150886409, 0.0, 0.0, 0.0, 0.188016746457265413404150886409, 0.0, 0.0, 0.0, -0.0495982226916494224578553498010 - 0.480188377084663826158607620331*I, 0.0, 0.0, 0.0,  0.118789710575408244854565223372 + 0.0386433033841751076782572599441*I, 0.0, 0.0, 0.0, 0.0332098262220707214606174993296 + 0.360146130529399900035685699022*I, 0.0, 0.0, 0.0, 0.291884247163529335329438909826, 0.0 ],
[ 0.0, 0.297078445778150729331815830416, 0.0, 0.0, 0.0, 0.243781214215191641960584335830 + 0.223527454829551107884941950673*I,  0.0, 0.0, 0.0, -0.148686704902050266178281802215 - 0.233838294757784442915423101089*I,  0.0, 0.0, 0.0, -0.313161481689415619914112609644 - 0.222066318613844434070631462525*I,  0.0, 0.0, 0.0, 0.279604981716625834546027797151, 0.0, 0.0, 0.0, 0.279604981716625834546027797151, 0.0, 0.0, 0.0, -0.313161481689415619914112609644 - 0.222066318613844434070631462525*I,  0.0, 0.0, 0.0, -0.148686704902050266178281802215 - 0.233838294757784442915423101089*I,  0.0, 0.0, 0.0, 0.243781214215191641960584335830 + 0.223527454829551107884941950673*I,  0.0, 0.0, 0.0, 0.297078445778150729331815830416, 0.0 ]
] where I:=Sqrt(-1);


// squared length of the multipoles
[ 0.025641, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0062362, 0.029111, 0.015789, 0.0018432, 0.040137, 0.0082307, 0.036252, 0.016951, 0.0075769, 0.037117, 0.024573, 0.012147,   0.022473, 0.024653, 0.028702, 0.0084325, 0.069475, 0.048677, 0.028150, 0.027668,  0.047237, 0.020483,  0.040439, 0.015360, 0.066409, 0.075997, 0.032814, 0.013964, 0.071025, 0.046372, 0.050064 ],
[ 0.025641, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.016465,  0.017458, 0.016728, 0.0046039, 0.031501, 0.0022965, 0.046977, 0.018160, 0.017798,  0.014111, 0.054631, 0.00057589, 0.014451, 0.025837, 0.031191, 0.0061838, 0.084888, 0.021396, 0.032918, 0.0093665, 0.094022, 0.0099084, 0.038062, 0.014868, 0.066084, 0.039311, 0.067654, 0.010254, 0.081231, 0.030130, 0.055298 ]

// cumulative squared lengths A_M:
          [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0062362, 0.035347, 0.051136, 0.052979,  0.093117, 0.10135,   0.13760,  0.15455,  0.16213,   0.19924,  0.22382,  0.23596,    0.25844,  0.28309,  0.31179,  0.32022,   0.38970,  0.43838,  0.46653,  0.49419,   0.54143,  0.56191,   0.60236,  0.61771,  0.68412,  0.76012,  0.79293,  0.80690,  0.87792,  0.92429,  0.97436 ],
          [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.016465,  0.033923, 0.050651, 0.055255,  0.086756, 0.089052,  0.13603,  0.15419,  0.17199,   0.18610,  0.24073,  0.24131,    0.25576,  0.28159,  0.31279,  0.31897,   0.40386,  0.42525,  0.45817,  0.46754,   0.56156,  0.57146,   0.60953,  0.62440,  0.69048,  0.72979,  0.79745,  0.80770,  0.88893,  0.91906,  0.97436 ]