# Stored data for newform 950.2.a.m, downloaded from the LMFDB on 23 April 2024. {"label": "950.2.a.m", "space_label": "950.2.a", "level": 950, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562001334, "dim": 3, "is_polredabs": true, "nf_label": "3.3.257.1", "trace_hash": 218112918500947059, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [19, -9, -2, 1]], [7, [49, -21, -2, 1]], [11, [24, -32, -2, 1]]], "qexp_display": "q+q^{2}+(1-\\beta _{1}-\\beta _{2})q^{3}+q^{4}+(1-\\beta _{1}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3800, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 7.585788192021637, "hecke_ring_index": 1, "level_radical": 190, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [950, 1, [77, 401], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 257, "field_disc_factorization": [[257, 1]], "field_poly": [3, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "2.909", "prec": 17}, {"__RealLiteral__": 0, "data": "0.387", "prec": 17}, {"__RealLiteral__": 0, "data": "22.412", "prec": 20}, {"__RealLiteral__": 0, "data": "9.453", "prec": 17}, {"__RealLiteral__": 0, "data": "260.201", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [19, 1]], "trace_display": [3, 2, 0, 2], "traces": 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