Here are the eigenvalues for the constants:
{mub, muf, g2, kappas, kappaa, beta, lambda1, lambda2, lambda3, lambda4, lambda5} =
 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}

K = 5 and two links with g^2 nonzero

This takes about 30 minutes on bvds

In[2]:=
expr = N[generalMatrix[makeham, 5, 2, 0, 1, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
         none]];

In[3]:=
Sort[Chop[Eigenvalues[expr]]]

Out[3]=
{0, 0, 0, 0, 0.397712, 0.397712, 0.397712, 0.397712, 0.397712, 0.397712, \
0.397712, 0.397712, 0.397712, 0.397712, 0.397712, 0.397712, 0.397712, \
0.397712, 0.397712, 0.397712, 0.781525, 0.781525, 0.781525, 0.781525, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, 0.973203, \
0.973203, 0.973203, 0.973203, 0.973203, 0.973217, 0.973217, 0.973217, \
0.973217, 1.08706, 1.08706, 1.08706, 1.08706, 1.08706, 1.08706, 1.08706, \
1.08706, 1.08706, 1.08706, 1.08706, 1.08706, 1.08706, 1.08706, 1.08706, \
1.08706, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.54419, \
1.54419, 1.54419, 1.54419, 1.54419, 1.54419, 1.56824, 1.56824, 1.56824, \
1.56824, 1.6923, 1.6923, 1.6923, 1.6923, 1.70119, 1.70119, 1.70119, 1.70119, \
1.70119, 1.70119, 1.70119, 1.70119, 1.70119, 1.70119, 1.70119, 1.70119, \
1.70119, 1.70119, 1.70119, 1.70119, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, 2.00513, \
2.02633, 2.02633, 2.02633, 2.02633, 2.04797, 2.04797, 2.04797, 2.04797, \
2.04797, 2.04797, 2.04797, 2.04797, 2.04797, 2.04797, 2.04797, 2.04797, \
2.04797, 2.04797, 2.04797, 2.04797, 2.21192, 2.21192, 2.21192, 2.21192, \
2.21192, 2.21192, 2.21192, 2.21192, 2.21192, 2.21192, 2.21192, 2.21192, \
2.21192, 2.21192, 2.21192, 2.21192, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, 2.43496, \
2.43516, 2.43516, 2.43516, 2.43516, 2.46433, 2.46433, 2.46433, 2.46433, \
2.85471, 2.85471, 2.85471, 2.85471, 2.85471, 2.85471, 2.85471, 2.85471, \
2.85471, 2.85471, 2.85471, 2.85471, 2.85471, 2.85471, 2.85471, 2.85471, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, 2.91609, \
2.91609, 2.91609, 2.91609, 2.91609, 2.93516, 2.93516, 2.93516, 2.93516, \
3.05057, 3.05057, 3.05057, 3.05057, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, 3.39869, \
3.46447, 3.46447, 3.46447, 3.46447, 3.46447, 3.46447, 3.46447, 3.46447, \
3.46447, 3.46447, 3.46447, 3.46447, 3.46447, 3.46447, 3.46447, 3.46447, \
3.50072, 3.50072, 3.50072, 3.50072, 3.74537, 3.74537, 3.74537, 3.74537, \
3.74537, 3.74537, 3.74537, 3.74537, 3.74537, 3.74537, 3.74537, 3.74537, \
3.74537, 3.74537, 3.74537, 3.74537, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, 3.82456, \
3.82546, 3.82546, 3.82546, 3.82546, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, 4.06093, \
4.0958, 4.0958, 4.0958, 4.0958, 4.33944, 4.33944, 4.33944, 4.33944, 4.33944, \
4.33944, 4.33944, 4.33944, 4.33944, 4.33944, 4.33944, 4.33944, 4.33944, \
4.33944, 4.33944, 4.33944, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, \
4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.79845, 4.88897, \
4.88897, 4.88897, 4.88897, 5.23565, 5.23565, 5.23565, 5.23565, 5.23565, \
5.23565, 5.23565, 5.23565, 5.23565, 5.23565, 5.23565, 5.23565, 5.23565, \
5.23565, 5.23565, 5.23565, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, \
5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.85705, 5.89795, \
5.89795, 5.89795, 5.89795}

These are the diagonal matrix elements 

In[4]:=
diag = Table[expr[[i, i]], {i, Length[expr]}]

Out[4]=
{1.13287, 1.13287, 1.13287, 1.13287, 1.87891, 1.87891, 1.87891, 1.87891, \
1.98944, 1.98944, 1.98944, 1.98944, 1.87891, 1.87891, 1.87891, 1.87891, \
1.13287, 1.13287, 1.13287, 1.13287, 1.79693, 1.79693, 1.79693, 1.79693, \
1.79693, 1.79693, 1.79693, 1.79693, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, \
3.0583, 3.0583, 3.0583, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, \
3.13458, 3.13458, 2.4442, 2.4442, 2.4442, 2.4442, 2.4442, 2.4442, 2.4442, \
2.4442, 1.79693, 1.79693, 1.79693, 1.79693, 1.79693, 1.79693, 1.79693, \
1.79693, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, \
3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, \
2.4442, 2.4442, 2.4442, 2.4442, 2.4442, 2.4442, 2.4442, 2.4442, 2.50331, \
2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 3.65504, \
3.65504, 3.65504, 3.65504, 3.65504, 3.65504, 3.65504, 3.65504, 3.13458, \
3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 2.50331, \
2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 3.65504, \
3.65504, 3.65504, 3.65504, 3.65504, 3.65504, 3.65504, 3.65504, 3.13458, \
3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 3.13458, 2.50331, \
2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 3.0583, \
3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 2.50331, 2.50331, \
2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 2.50331, 3.0583, 3.0583, 3.0583, \
3.0583, 3.0583, 3.0583, 3.0583, 3.0583, 1.79693, 1.79693, 1.79693, 1.79693, \
1.79693, 1.79693, 1.79693, 1.79693, 1.79693, 1.79693, 1.79693, 1.79693, \
1.79693, 1.79693, 1.79693, 1.79693, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 3.5224, 3.5224, 3.5224, 3.5224, 3.5224, \
3.5224, 3.53345, 3.53345, 3.01467, 3.01467, 3.01467, 3.01467, 3.01467, \
3.01467, 3.03125, 3.03125, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, 3.53345, \
3.5224, 3.5224, 3.01467, 3.01467, 3.01467, 3.01467, 3.03125, 3.03125, \
3.01467, 3.01467, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, 3.5224, \
3.5224, 3.01467, 3.01467, 3.03125, 3.03125, 3.01467, 3.01467, 3.01467, \
3.01467, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 3.53345, 3.53345, 3.5224, 3.5224, 3.5224, 3.5224, 3.5224, 3.5224, \
3.03125, 3.03125, 3.01467, 3.01467, 3.01467, 3.01467, 3.01467, 3.01467, \
3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.53249, 3.53249, \
4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, \
3.52144, 3.52144, 3.52144, 3.52144, 3.53249, 3.53249, 3.52144, 3.52144, \
4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, \
3.52144, 3.52144, 3.53249, 3.53249, 3.52144, 3.52144, 3.52144, 3.52144, \
4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, \
3.53249, 3.53249, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, \
4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, 4.09921, \
3.01467, 3.01467, 3.01467, 3.01467, 3.01467, 3.01467, 3.03125, 3.03125, \
3.01467, 3.01467, 3.01467, 3.01467, 3.03125, 3.03125, 3.01467, 3.01467, \
3.01467, 3.01467, 3.03125, 3.03125, 3.01467, 3.01467, 3.01467, 3.01467, \
3.03125, 3.03125, 3.01467, 3.01467, 3.01467, 3.01467, 3.01467, 3.01467, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
3.5224, 3.5224, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, 3.53345, 3.01467, \
3.01467, 3.01467, 3.01467, 3.01467, 3.01467, 3.03125, 3.03125, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 3.5224, \
3.5224, 3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, 3.01467, 3.01467, \
3.01467, 3.01467, 3.03125, 3.03125, 3.01467, 3.01467, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 3.5224, 3.5224, \
3.53345, 3.53345, 3.5224, 3.5224, 3.5224, 3.5224, 3.01467, 3.01467, 3.03125, \
3.03125, 3.01467, 3.01467, 3.01467, 3.01467, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 3.53345, 3.53345, 3.5224, \
3.5224, 3.5224, 3.5224, 3.5224, 3.5224, 3.03125, 3.03125, 3.01467, 3.01467, \
3.01467, 3.01467, 3.01467, 3.01467, 3.52144, 3.52144, 3.52144, 3.52144, \
3.52144, 3.52144, 3.53249, 3.53249, 4.09921, 4.09921, 4.09921, 4.09921, \
4.09921, 4.09921, 4.09921, 4.09921, 3.52144, 3.52144, 3.52144, 3.52144, \
3.53249, 3.53249, 3.52144, 3.52144, 4.09921, 4.09921, 4.09921, 4.09921, \
4.09921, 4.09921, 4.09921, 4.09921, 3.52144, 3.52144, 3.53249, 3.53249, \
3.52144, 3.52144, 3.52144, 3.52144, 4.09921, 4.09921, 4.09921, 4.09921, \
4.09921, 4.09921, 4.09921, 4.09921, 3.53249, 3.53249, 3.52144, 3.52144, \
3.52144, 3.52144, 3.52144, 3.52144, 4.09921, 4.09921, 4.09921, 4.09921, \
4.09921, 4.09921, 4.09921, 4.09921, 3.01467, 3.01467, 3.01467, 3.01467, \
3.01467, 3.01467, 3.03125, 3.03125, 3.01467, 3.01467, 3.01467, 3.01467, \
3.03125, 3.03125, 3.01467, 3.01467, 3.01467, 3.01467, 3.03125, 3.03125, \
3.01467, 3.01467, 3.01467, 3.01467, 3.03125, 3.03125, 3.01467, 3.01467, \
3.01467, 3.01467, 3.01467, 3.01467, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, \
2.9297, 2.9297, 2.9297, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, \
3.53249, 3.53249, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, \
2.9297, 3.52144, 3.52144, 3.52144, 3.52144, 3.53249, 3.53249, 3.52144, \
3.52144, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, \
3.52144, 3.52144, 3.53249, 3.53249, 3.52144, 3.52144, 3.52144, 3.52144, \
2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 3.53249, \
3.53249, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.5224, \
3.5224, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, \
3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, \
3.53345, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, \
3.5224, 3.5224, 3.5224, 3.5224, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, \
2.9297, 2.9297, 2.9297, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, \
3.53249, 3.53249, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, \
2.9297, 3.52144, 3.52144, 3.52144, 3.52144, 3.53249, 3.53249, 3.52144, \
3.52144, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, \
3.52144, 3.52144, 3.53249, 3.53249, 3.52144, 3.52144, 3.52144, 3.52144, \
2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 2.9297, 3.53249, \
3.53249, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.52144, 3.5224, \
3.5224, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, \
3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, \
3.53345, 3.5224, 3.5224, 3.5224, 3.5224, 3.53345, 3.53345, 3.5224, 3.5224, \
3.5224, 3.5224, 3.5224, 3.5224, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, 2.33365, \
2.33365, 2.33365, 2.33365}

This is a list of the different elements of the matrix

In[5]:=
Union[Flatten[expr]]

Out[5]=
{-0.906299, -0.895247, -0.861451, -0.844047, -0.812184, -0.804021, -0.795775, \
-0.281837, -0.265258, -0.22972, -0.211012, -0.198944, -0.110524, -0.0884194, \
-0.0497359, -0.031261, -0.028715, -0.0165786, -0.0110524, 0., 0.0110524, \
0.0165786, 0.028715, 0.031261, 1.13287, 1.79693, 1.87891, 1.98944, 2.33365, \
2.4442, 2.50331, 2.9297, 3.01467, 3.03125, 3.0583, 3.13458, 3.52144, 3.5224, \
3.53249, 3.53345, 3.65504, 4.09921}