{'fraction_non_alphanumeric': 0.01556420233463035, 'fraction_numerical': 0.0038910505836575876, 'mean_word_length': 5.130952380952381, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
The rotor model with spectral parameters and enumerations of alternating sign matrices

In this paper we study the rotor model of Martins and Nienhuis. After introducing spectral parameters, a combined use of integrability, polynomiality of the ground state wavefunction and a mapping into the fully packed O(1) model allows us to determine the sum rule and a family of maximally nested components for different boundary conditions. We see in this way the appearance of 3-enumerations of alternating sign matrices.