{'fraction_non_alphanumeric': 0.022044088176352707, 'fraction_numerical': 0.0, 'mean_word_length': 4.9523809523809526, '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}}
Hadamard Series and Inequalities over the Parameters of a Strongly Regular Graph

Let G be a (n,k,a,c)‐strongly regular graph with adjacency matrix A with three distinct eigenvalues. We associate to A a three dimensional Euclidean Jordan algebra V, spanned by In and the natural powers of A. Then, we establish new inequalities on the parameters of G by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V associated to A.