# Stored data for newform 1805.2.a.w, downloaded from the LMFDB on 24 April 2024. {"label": "1805.2.a.w", "space_label": "1805.2.a", "level": 1805, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835707149, "dim": 16, "is_polredabs": true, "trace_hash": 1876152965285106970, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [256, 0, -2592, 0, 8701, 0, -11261, 0, 6639, 0, -2038, 0, 339, 0, -29, 0, 1]], [3, [841, 0, -11321, 0, 27709, 0, -25742, 0, 11974, 0, -3074, 0, 441, 0, -33, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{12}q^{3}+(2-\\beta _{5}+\\beta _{6})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7220, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 14.41299756484111, "hecke_ring_index": 4, "level_radical": 95, "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": "0.516", "prec": 17}, "analytic_rank_proved": true, "char_values": [1805, 1, [362, 1446], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 14638130988564736000000000000, "field_disc_factorization": [[2, 20], [5, 12], [1979, 2], [3821, 2]], "field_poly": [256, 0, -2592, 0, 8701, 0, -11261, 0, 6639, 0, -2038, 0, 339, 0, -29, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.054", "prec": 17}, {"__RealLiteral__": 0, "data": "12.627", "prec": 20}, {"__RealLiteral__": 0, "data": "1.870", "prec": 17}, {"__RealLiteral__": 0, "data": "839.334", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "87826.428", "prec": 30}], "related_objects": 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