Set of N integers between -30 and 30 with sum and cubic sum up to zero for 4

<strong>Anomalies</strong> Solutions obtained with the python package: anomalies based on the method to find anomaly free solutions of the standard model extended with an Abelian Dark Symmetry with <em>N</em> right-handed singlet chiral fields described in arXiv:1905.13729 [PRL]: <strong>Data scheme</strong> 'l': integer lists → input to obtain the 'solution' by using the anomalies package 'k': integer lists → input to obtain the 'solution' by using hte anomalies package 'solution': list → of integers, \(\large z_i\)which satisfy \(\large\displaystyle{ \sum_{i=1}^N z_i=0}\) and \(\large\displaystyle{ \sum_{i=1}^N z_i^3=0}\) . 'n': integer → number of integers in 'solution', <em>N</em>. <pre> <strong>USAGE</strong></pre> <pre><code class="language-python">#Example of JSON file usage in Python with pandas (see also json module) &gt;&gt;&gt; import pandas as pd &gt;&gt;&gt; df=pd.read_json('solutions.json.gz') &gt;&gt;&gt; df[:2] l k solution gcd n 0 [1, 2] [0, -3] [1, 5, -7, -8, 9] 1 5 1 [-2, -1] [0, -1] [2, 4, -7, -9, 10] 1 5</code></pre> <strong>Data:</strong><br> 2 296 615 solutions with \(\large 5\le N\le 12\) integers until `|32|` [JSON]