anomalies 0.1.2

Anomaly cancellation

Anomalies

Implement the anomaly free solution of arXiv:1905.13729 [PRL]:

A set of integers $n_i$ ($i=1,2,\ldots,N$) satisfying the Diophantine equations $$ \sum_{i=1}^{N}n_i&=0,,\qquad \sum_{i=1}^{N}n_{i}^3&=0,, $$ can be parametrized as a function of two sets of integers $l$ and $k$, with dimensions $(N-3)/2$ and $(N-1)/2$ for $N$ odd, or $N/2-1$ and $N/2-1$ for $N$ even. The function is implemented below under the name: free(l,k)

Install

$ pip install anomalies

USAGE

>>> from anomalies import anomaly
>>> anomaly.free([-1,1],[4,-2])
array([  3,   3,   3, -12, -12,  15])
>>> anomaly.free.gcd
3
>>> anomaly.free.simplified
array([ 1,  1,  1, -4, -4,  5])