# Stored data for newform 1875.4.a.g, downloaded from the LMFDB on 19 April 2024. {"label": "1875.4.a.g", "space_label": "1875.4.a", "level": 1875, "weight": 4, "hecke_orbit": 7, "hecke_orbit_code": 27021597831333715, "dim": 14, "is_polredabs": true, "trace_hash": 453723293501753266, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [42064, 394896, 579848, -371750, -718713, 125779, 257291, -12987, -36970, 517, 2512, -7, -81, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+3q^{3}+(4+\\beta _{2})q^{4}+3\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30000, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 110.62858126076365, "hecke_ring_index": 500, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1875, 1, [626, 1252], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 3174668831683473357121779957968750000, "field_disc_factorization": [[2, 4], [5, 10], [24551086799, 1], [827575605475917469, 1]], "field_poly": [42064, 394896, 579848, -371750, -718713, 125779, 257291, -12987, -36970, 517, 2512, -7, -81, 0, 1], "hecke_ring_index_factorization": [[2, 2], [5, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.051", "prec": 20}, {"__RealLiteral__": 0, "data": "5.497", "prec": 17}, {"__RealLiteral__": 0, "data": "412.462", "prec": 24}, {"__RealLiteral__": 0, "data": "766.559", "prec": 24}, {"__RealLiteral__": 0, "data": "22868.630", "prec": 30}], "related_objects": [], 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