The python script "problem-2.py" performs some of the algebra
involving the generators J^3, B^1 and B^2 introduced in Problem 2.


It involves the following steps:

- define J^3, B^1 and B^2 as 4x4 matrices
- calculate their commutators
- calculate exp(i*theta*J^3)
- calculate powers of B^1 and B^2 to check that they are nilpotent
- calculate exp(i*(beta_1*B^1+beta_2*B^2))


To run the script (inside a jupyter console), do:
    load "problem-2.py"


The output of the script is included in the file "output.txt"
