# Stored data for newform 525.4.a.q, downloaded from the LMFDB on 16 April 2024.
{"label": "525.4.a.q", "space_label": "525.4.a", "level": 525, "weight": 4, "hecke_orbit": 17, "hecke_orbit_code": 72057594105037325, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2292.1", "trace_hash": 2175958988465705710, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -13, 1, 1]], [11, [-6120, -276, 66, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+3q^{3}+(1+\\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": 8400, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 30.976002753013823, "hecke_ring_index": 2, "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": 2292, "field_disc_factorization": [[2, 2], [3, 1], [191, 1]], "field_poly": [1, -13, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.873", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.301", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "260.169", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [7, -1]], "trace_display": [-1, 9, 0, 21], "traces": [0, 3, -1, 9, 3, 0, -3, 21, -21, 27, 0, -66, 9, -102, -7, 0, -69, -152, -9, 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