(*

Simon's version of the kappa self-inertia interaction.

couplings={0.1803, 0.362, 1, -0.323, 0.162, 0.688, -0.038, -0.09, 374, 0.158, 143}

The K=45 datum took 31168 seconds to calculate.

The eigenvalues are calculated for the symmetry J_z^{P_1 C} = 0^{- +}.

For each value of K, the lowest few eigenvalues are given:

*)

{{2, {0.4845711849176313, 1.4393196489065514, 1.7403056820482337}}, 
 {3, {0.426739019967487, 1.6898979920568236, 1.9484450071043047, 
   2.286902860314202, 3.2911937510896374}}, 
 {4, {0.38870006412582203, 1.8223910196297664, 2.228460925868433, 
   2.568474484917422, 2.7441711211597184}}, 
 {6, {0.3409703499513945, 1.983901210885775, 2.442583114332991, 
   2.9740946070249774, 3.4373142239992753}}, 
 {7, {0.32459339083070304, 2.0389438841425793, 2.5030965902587177, 
   3.068105045097159, 3.6540465116816767}}, 
 {9, {0.29983661219083735, 2.121891580159601, 2.584468013832425, 
   3.192118670403886, 3.9574198660436757}}, 
 {11, {0.28168605263537927, 2.182384760723893, 2.6360855281936555, 
   3.2727363349367384, 4.166191425672057}}, 
 {13, {0.2675955322799197, 2.2290357966130174, 2.671223007886617, 
   3.330557908372784, 4.321486621664066}}, 
 {15, {0.2562191158182969, 2.2664194505967363, 2.6963456658339, 
   3.37463494056028, 4.442816142917195}}, 
 {18, {0.24260049318016996, 2.3107333352332433, 2.7225417995721197, 
   3.4246756218421357, 4.5834084562538715}}, 
 {22, {0.22867964183269773, 2.355397181807824, 2.744938792403739, 
   3.4730409319632054, 4.721854440211185}}, 
 {26, {0.21789370049211243, 2.3894520307849416, 2.759282089966318, 
   3.5087167873335825, 4.8253439389756565}}, 
 {31, {0.2072799623099968, 2.422392865971522, 2.770896863749362, 
   3.542365214999153, 4.923782861806141}}, 
 {37, {0.1973304333908752, 2.4526635996430546, 2.779619460591565, 
   3.5726346851963084, 5.012782633247156}}, 
 {45, {0.1871248418968623, 2.4829878534536665, 2.7865128213149024, 
   3.602430514354137, 5.1004708264476895}}}