L32:=[
[ 0.230154951546973607330903561160, 0.0, 0.0, 0.0, 0.313044653670550795499510326806 + 0.282912127100565905147949296145*I,  0.0, 0.0, 0.0, -0.108377415040392890134853548103 - 0.172863453908017478072569519081*I,  0.0, 0.0, 0.0, -0.303467912166425488130901527410 - 0.353360919247337830966425163770*I, 0.0, 0.0, 0.0,  0.144279732965573357312721199760,  0.0, 0.0, 0.0, -0.303467912166425488130901527410 - 0.353360919247337830966425163770*I, 0.0, 0.0, 0.0, -0.108377415040392890134853548103 - 0.172863453908017478072569519081*I,  0.0, 0.0, 0.0, 0.313044653670550795499510326806 + 0.282912127100565905147949296145*I,  0.0, 0.0, 0.0, 0.230154951546973607330903561160 ],
[ 0.230301559898927273066578952505, 0.0, 0.0, 0.0, 0.421302946452984716006013178967, 0.0, 0.0, 0.0, -0.205307391340396194312622167222 + 0.0369662334699110095017044199389*I, 0.0, 0.0, 0.0, -0.377425318627132358655333383169 + 0.265944472943081041396499867359*I, 0.0, 0.0, 0.0, -0.00970004028763182357814850548389 - 0.159524369559308139918073461681*I, 0.0, 0.0, 0.0, -0.377425318627132358655333383169 + 0.265944472943081041396499867359*I, 0.0, 0.0, 0.0, -0.205307391340396194312622167222 + 0.0369662334699110095017044199389*I, 0.0, 0.0, 0.0, 0.421302946452984716006013178967, 0.0, 0.0, 0.0, 0.230301559898927273066578952505 ],
[ 0.230279029992170597384735569491, 0.0, 0.0, 0.0, 0.312552677568597851658841175823 + 0.282648210920607217571641329795*I,  0.0, 0.0, 0.0, -0.0411030449465574828152193063706 - 0.203807790810937262573795271504*I, 0.0, 0.0, 0.0,  0.214729043942279185751271145612 - 0.409449477263159325390921494434*I, 0.0, 0.0, 0.0, -0.157530113384024832855262898519,  0.0, 0.0, 0.0,  0.214729043942279185751271145612 - 0.409449477263159325390921494434*I, 0.0, 0.0, 0.0, -0.0411030449465574828152193063706 - 0.203807790810937262573795271504*I, 0.0, 0.0, 0.0, 0.312552677568597851658841175823 + 0.282648210920607217571641329795*I,  0.0, 0.0, 0.0, 0.230279029992170597384735569491 ],
[ 0.229798142440844078289977394689, 0.0, 0.0, 0.0, 0.0633951391030624496013703483708 + 0.418724499891042495892418722667*I, 0.0, 0.0, 0.0,  0.116204818504682804099938272169 - 0.153390499311320013309310988730*I,  0.0, 0.0, 0.0,  0.426539854011218326301723689465 - 0.210263956103728227850304976275*I, 0.0, 0.0, 0.0, -0.0965844691537197471016619718363, 0.0, 0.0, 0.0,  0.426539854011218326301723689465 - 0.210263956103728227850304976275*I, 0.0, 0.0, 0.0,  0.116204818504682804099938272169 - 0.153390499311320013309310988730*I,  0.0, 0.0, 0.0, 0.0633951391030624496013703483708 + 0.418724499891042495892418722667*I, 0.0, 0.0, 0.0, 0.229798142440844078289977394689 ]
] where I:=Sqrt(-1);


// squared length of the multipoles
[ 0.030303, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0040241, 0.0086274, 0.11778,  0.0042527, 0.026651, 0.011445,  0.0032075, 0.0024892, 0.028905, 0.011963, 0.099236, 0.0076514, 0.10158,  0.018325, 0.0095675, 0.0049058, 0.068639, 0.015355, 0.15459,  0.015421, 0.017446, 0.016287, 0.14060,  0.013232, 0.067510 ],
[ 0.030303, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0043927, 0.010192,  0.11265,  0.0081588, 0.025837, 0.011053,  0.0034843, 0.0036001, 0.026266, 0.019569, 0.089270, 0.015471,  0.092552, 0.024140, 0.0073164, 0.010065,  0.063242, 0.025803, 0.13766,  0.024003, 0.016975, 0.020944, 0.13334,  0.016800, 0.066914 ],
[ 0.030303, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0099970, 0.022974,  0.062503, 0.044762,  0.020508, 0.0064644, 0.0062442, 0.010323,  0.018158, 0.062108, 0.036907, 0.039416,  0.049583, 0.043499, 0.014748,  0.033414,  0.057278, 0.060416, 0.039685, 0.059065, 0.035926, 0.056933, 0.069046, 0.047790, 0.061948 ],
[ 0.030303, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.011509,  0.026530,  0.051204, 0.047612,  0.024697, 0.0064263, 0.0047593, 0.0085151, 0.025297, 0.063613, 0.037736, 0.019713,  0.058839, 0.041266, 0.026311,  0.028050,  0.069007, 0.041979, 0.044137, 0.053507, 0.048016, 0.056951, 0.059955, 0.053010, 0.061058 ]

// cumulative squared lengths A_M:
          [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0040241, 0.012651,  0.13043,  0.13469,  0.16134,  0.17278,    0.17599,   0.17848,   0.20738,  0.21935,  0.31858,  0.32624,   0.42781,  0.44614,  0.45571,   0.46061,   0.52925,  0.54461,  0.69920,  0.71462,  0.73207,  0.74836,  0.88895,  0.90218,  0.96970 ],
          [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0043927, 0.014585,  0.12724,  0.13540,  0.16123,  0.17229,    0.17577,   0.17937,   0.20564,  0.22520,  0.31448,  0.32994,   0.42250,  0.44664,  0.45395,   0.46402,   0.52726,  0.55306,  0.69073,  0.71473,  0.73170,  0.75265,  0.88599,  0.90279,  0.96970 ],
          [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0099970, 0.032971,  0.095474, 0.14024,  0.16074,  0.16721,    0.17345,   0.18377,   0.20193,  0.26404,  0.30095,  0.34036,   0.38995,  0.43345,  0.44820,   0.48161,   0.53889,  0.59930,  0.63899,  0.69805,  0.73398,  0.79092,  0.85995,  0.90775,  0.96970 ],
          [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.011509,  0.038039,  0.089242, 0.13685,  0.16155,  0.16798,    0.17274,   0.18125,   0.20655,  0.27016,  0.30790,  0.32761,   0.38645,  0.42772,  0.45403,   0.48207,   0.55109,  0.59306,  0.63720,  0.69070,  0.73872,  0.79568,  0.85563,  0.90864,  0.96970 ]