Sagemath 19 part 2: The spectrum of the Ricci operator for a monochromatic 4 – valent node dual to an equilateral tetrahedron

This week I have  continued working on the spectrum of the Ricci operator for a monochromatic 4 – valent node dual to an equilateral tetrahedron. This blog post reports on work in progress,

In my last post I indicated how far I had got in porting the code for the monochromatic 4-valent node from Mathematica to sagemath. This is essentially complete now and I have just got to output a graph of eigenvalues of curvature versus spin.

mono1
Sagemath code for the spectrum of the Ricci Operator for a monochromatic 4-valent node dual to an equilateral  tetrahedron

The curvature is written as a combination of the length of a hinge and the deficit angle around it.

 

curveequ32

As yet the code is unoptimised. Below is a  sample of the output so far:

 

 

So now the eigenvalues have been found I can start to make use of them in calculations of the Hamiltonian Constraint Operator.

mono2

Update:

Eigenenvalent vs spin for 4 valent

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