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.

*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.

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.

Update:

###### Related articles

- Sagemath 19 part 1: The spectrum of the Ricci operator for a monochromatic 4 – valent node dual to an equilateral tetrahedron (quantumtetrahedron.wordpress.com)
- Numerical work with Sagemath 17: Exploring curvature (quantumtetrahedron.wordpress.com)

## One thought on “Sagemath 19 part 2: The spectrum of the Ricci operator for a monochromatic 4 – valent node dual to an equilateral tetrahedron”