(*

Our 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 87130 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, {0.5275206118958278, 1.4398687688150447, 1.7522240375197788}}, 
 {3, {0.507864013899048, 1.690918607763723, 1.9992432268983888, 
   2.3585075550606662, 3.2912646690793403}}, 
 {4, {0.493653896149306, 1.8237050381732516, 2.2542295366921214, 
   2.6323768283331153, 2.7636987930243495}}, 
 {6, {0.4749373978890308, 1.9861919333739553, 2.489393059756941, 
   3.0855264225528023, 3.4434105852186696}}, 
 {7, {0.46833499617227403, 2.0416855851110722, 2.5617734779542407, 
   3.187722726415198, 3.657990869242739}}, 
 {9, {0.4582095200446761, 2.125462273277562, 2.664530677322632, 
   3.3219128268432176, 3.961981197098106}}, 
 {11, {0.4506925587645938, 2.186711680948902, 2.734567538443663, 
   3.408319792248353, 4.172167105698192}}, 
 {13, {0.4448150501803734, 2.234066961679735, 2.7856507105703088, 
   3.469564081588489, 4.328933681145374}}, 
 {15, {0.44005115678259443, 2.272116155825029, 2.824694484400908, 
   3.5156821316864986, 4.451710199741111}}, 
 {18, {0.4343382470727386, 2.3173741609683836, 2.868748563923316, 
   3.5673002429796075, 4.5944099367812266}}, 
 {22, {0.4285046193208917, 2.3632229157725413, 2.9106629241724464, 
   3.6163136582790685, 4.735564666152674}}, 
 {26, {0.4240046974209539, 2.398401431889232, 2.9409248063730926, 
   3.651847733145914, 4.841674197378375}}, 
 {31, {0.41961014725126233, 2.432683689951947, 2.9687972524563513, 
   3.6848413794334554, 4.94329385434781}}, 
 {37, {0.41553816376142905, 2.4644946318822827, 2.9932079757621217, 
   3.714067175714257, 5.036002063741906}}, 
 {45, {0.4114315937136972, 2.4967841958819483, 3.016536907749475, 
   3.7423986841717425, 5.1284843997622}}}