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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') >>> 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: 390074 solutions with \(\large 5\le N\le 12\) integers until `|32|` [JSON]
{"references": ["arXiv:2108.05907", "arXiv:2102.06211"]}
Diophantine equations, Gauge Symmetry, Abelian symmetry, Anomaly free
Diophantine equations, Gauge Symmetry, Abelian symmetry, Anomaly free
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