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

Anomalies 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 N right-handed singlet chiral fields described in arXiv:1905.13729 [PRL]: Data scheme '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', N.

 USAGE

#Example of JSON file usage in Python with pandas (see also json module) >>> import pandas as pd >>> df=pd.read_json('solutions.json.gz') >>> 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

Data:
2 296 615 solutions with (\large 5\le N\le 12) integers until |32| [JSON]