# Stored data for newform 1872.4.a.bk, downloaded from the LMFDB on 25 April 2024.
{"label": "1872.4.a.bk", "space_label": "1872.4.a", "level": 1872, "weight": 4, "hecke_orbit": 37, "hecke_orbit_code": 162129586652448592, "dim": 3, "is_polredabs": true, "nf_label": "3.3.3144.1", "trace_hash": 2107905291945652153, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [864, -252, 4, 1]], [7, [-1984, -288, 30, 1]]], "qexp_display": "q+(-1+\\beta _{2})q^{5}+(-11-3\\beta _{1})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29952, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 110.45157553074642, "hecke_ring_index": 8, "level_radical": 78, "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": [1872, 1, [703, 469, 209, 145], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 13], "conrey_indexes": [1], "field_disc": 3144, "field_disc_factorization": [[2, 3], [3, 1], [131, 1]], "field_poly": [-8, -16, -1, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.837", "prec": 17}, {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "22.057", "prec": 20}, {"__RealLiteral__": 0, "data": "2.726", "prec": 17}, {"__RealLiteral__": 0, "data": "262.377", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [13, -1]], "trace_display": [0, 0, -4, -30], "traces": [0, 3, 0, 0, 0, -4, 0, -30, 0, 0, 0, -16, 0, 39, 0, 0, 0, 146, 0, -94, 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