# Stored data for newform 5775.2.a.bw, downloaded from the LMFDB on 25 April 2024.
{"label": "5775.2.a.bw", "space_label": "5775.2.a", "level": 5775, "weight": 2, "hecke_orbit": 49, "hecke_orbit_code": 216172782147344015, "dim": 3, "is_polredabs": true, "nf_label": "3.3.837.1", "trace_hash": 256161723654323641, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -6, 0, 1]], [13, [-2, -15, 0, 1]], [17, [-8, -24, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}-\\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": 23100, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 46.11360716728942, "hecke_ring_index": 1, "level_radical": 1155, "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": "0.051", "prec": 17}, "analytic_rank_proved": true, "char_values": [5775, 1, [3851, 4852, 4126, 3676], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 837, "field_disc_factorization": [[3, 3], [31, 1]], "field_poly": [-1, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "24.367", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "297.596", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -1], [11, -1]], "trace_display": [0, 3, 0, 3], "traces": [0, 3, 0, 3, 6, 0, 0, 3, -3, 3, 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