# Stored data for newform 6075.2.a.bq, downloaded from the LMFDB on 25 April 2024. {"label": "6075.2.a.bq", "space_label": "6075.2.a", "level": 6075, "weight": 2, "hecke_orbit": 43, "hecke_orbit_code": 189151184383121339, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 1996035061838768300, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 0, 3, 1]], [7, [17, -6, -3, 1]], [11, [3, -18, -3, 1]], [13, [17, -6, -3, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(1-2\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24300, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 48.50911922792783, "hecke_ring_index": 1, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "field_poly_is_real_cyclotomic": true, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [6075, 1, [4376, 1702], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "2.846", "prec": 17}, {"__RealLiteral__": 0, "data": "0.808", "prec": 17}, {"__RealLiteral__": 0, "data": "21.783", "prec": 20}, {"__RealLiteral__": 0, "data": "18.870", "prec": 20}, {"__RealLiteral__": 0, "data": "255.426", "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]], "trace_display": [-3, 0, 0, 3], "traces": [0, 3, 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