# Stored data for newform 525.4.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "525.4.a.k", "space_label": "525.4.a", "level": 525, "weight": 4, "hecke_orbit": 11, "hecke_orbit_code": 45035996340814349, "dim": 2, "is_polredabs": true, "nf_label": "2.2.65.1", "trace_hash": 55948307478632212, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-16, 1, 1]], [11, [56, 22, 1]]], "qexp_display": "q-\\beta q^{2}-3q^{3}+(8+\\beta )q^{4}+3\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8400, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 30.976002753013823, "hecke_ring_index": 1, "level_radical": 105, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [525, 1, [176, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 65, "field_disc_factorization": [[5, 1], [13, 1]], "field_poly": [-16, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.905", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.084", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.518", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, -1]], "trace_display": [-1, -6, 0, 14], "traces": [0, 2, -1, -6, 17, 0, 3, 14, -33, 18, 0, -22, -51, 22, -7, 0, -87, -116, -9, 102, 0, -42, 76, -260, 99, 0, 54, 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