# Stored data for newform 4275.2.a.bn, downloaded from the LMFDB on 10 December 2023.
{"label": "4275.2.a.bn", "space_label": "4275.2.a", "level": 4275, "weight": 2, "hecke_orbit": 40, "hecke_orbit_code": 175640385501008051, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1671305374380060041, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 3, -4, 1]], [7, [-7, -7, 0, 1]], [11, [13, -16, 1, 1]]], "qexp_display": "q+(1+\\beta _{1})q^{2}+(1+2\\beta _{1}+\\beta _{2})q^{4}+(\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17100, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 34.136046864097366, "hecke_ring_index": 1, "level_radical": 285, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [4275, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 19], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "2.871", "prec": 17}, {"__RealLiteral__": 0, "data": "1.087", "prec": 17}, {"__RealLiteral__": 0, "data": "21.282", "prec": 20}, {"__RealLiteral__": 0, "data": "12.937", "prec": 20}, {"__RealLiteral__": 0, "data": "232.790", "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], [19, 1]], "trace_display": [4, 0, 0, 0], "traces": [0, 3, 4, 0, 4, 0, 0, 0, 9, 0, 0, -1, 0, -5, 7, 0, 18, 2, 0, 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