Anomaly cancellation
Project description
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])
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