// see below for algebraic expressions

L14:=[
[ 0.0, 0.484038792672727141812724072987, 0.0, 0.0, -0.217868005816070288277966364349 + 0.228902507261236607272358289772*I, 0.0, 0.0, 0.277562504208004989955095482908 + 0.504624909270375912652172572948*I, 0.0, 0.0, -0.217868005816070288277966364349 + 0.228902507261236607272358289772*I, 0.0, 0.0, 0.484038792672727141812724072987, 0.0 ]
] where I:=Sqrt(-1);


// squared length of the multipoles
[ 0.066667, 0.0, 0.0, 0.0, 0.0, 0.022088, 0.14113, 0.086472, 0.084547, 0.048149, 0.060970, 0.10198, 0.17095, 0.081047, 0.13600 ]

// cumulative squared lengths A_M:
          [ 0.0, 0.0, 0.0, 0.0, 0.022088, 0.16322, 0.24969,  0.33424,  0.38239,  0.44336,  0.54533, 0.71629, 0.79733,  0.93333 ]


//======================================================================
// exact values
//======================================================================

L14_algebraic:=[
[ 0, 1/135*sqrt(4270), 0, 0, 1/181170*sqrt(-1)*sqrt(1719783065)-7/6710*sqrt(43615), 0, 0, 1/201300*sqrt(-1)*sqrt(10318698390)+983/1811700*sqrt(261690), 0, 0, 1/181170*sqrt(-1)*sqrt(1719783065)-7/6710*sqrt(43615), 0, 0, 1/135*sqrt(4270), 0 ]
];

// squared length of the multipoles
[ 1/15, 0, 0, 0, 0, 4459/201875, 3846271/27253125, 1728181/19985625, 34291621/405590625, 3494582/72579375, 140131082/2298346875, 152858342/1498921875, 41602274/243354375, 18262153/225328125, 8709359/64040625 ]

// cumulative squared lengths A_M:
      [ 0, 0, 0, 0, 4459/201875, 4448236/27253125, 74853311/299784375, 13967174/41788125, 21092552/55160325, 132911402/299784375, 5342584/9796875, 396163774/553078125, 51061891/64040625, 14/15 ]