# Stored data for newform 525.4.a.m, downloaded from the LMFDB on 18 April 2024.
{"label": "525.4.a.m", "space_label": "525.4.a", "level": 525, "weight": 4, "hecke_orbit": 13, "hecke_orbit_code": 54043195595555341, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 629284974289708005, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-2, -3, 1]], [11, [134, 31, 1]]], "qexp_display": "q+(1+\\beta )q^{2}-3q^{3}+(-3+3\\beta )q^{4}+\\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": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.047", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.460", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.843", "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": [3, -6, 0, -14], "traces": [0, 2, 3, -6, -3, 0, -9, -14, -3, 18, 0, -31, 9, 39, -21, 0, -23, -79, 27, -56, 0, 42, -4, 254, 9, 0, 203, -54, 21, -62, 0, 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