# Stored data for newform 126.2.g.d, downloaded from the LMFDB on 19 April 2024.
{"label": "126.2.g.d", "space_label": "126.2.g", "level": 126, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511211232526462, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 101272121758022906, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [9, -3, 1]], [11, [9, 3, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+(3-3\\zeta_{6})q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "g", "char_is_real": false, "Nk2": 504, "analytic_conductor": 1.0061150654681328, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [126, 3, [29, 73], [3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [37, 109], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "2.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.093", "prec": 17}, {"__RealLiteral__": 0, "data": "12.284", "prec": 20}, {"__RealLiteral__": 0, "data": "0.965", "prec": 17}, {"__RealLiteral__": 0, "data": "114.366", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 0, 3, -1], "traces": [0, 2, 1, 0, -1, 3, 0, -1, -2, 0, -3, -3, 0, 4, 4, 0, -1, 6, 0, -2, -6, 0, -6, -6, 0, -4, 2, 0, 5, -18, 0, 7, 1, 0, 12, 12, 0, 10, 2, 0, -3, 0, 0, -8, -3, 0, 6, 12, 0, -13, -8, 0, -2, -3, 0, -18, 1, 0, -9, -3, 0, 4, 14, 0, 2, 6, 0, -2, 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"artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [1, -1], [0, 0], [0, -1], [3, -3], [0, 0], [-2, 3], [-1, 0], [0, 0], [0, -3], [0, -3], [0, 0], [2, 0], [1, 2], [0, 0], [-1, 1], [0, 6], [0, 0], [-2, 2], [-3, 0], [0, 0], [-3, 0], [-6, 6], [0, 0], [0, -4], [2, -2], [0, 0], [3, -1], [-9, 0], [0, 0], [0, 7], [0, 1], [0, 0], [6, 0], [3, 6], [0, 0], [10, -10], [0, 2], [0, 0], [-3, 3], [0, 0], [0, 0], [-4, 0], [-3, 3], [0, 0], [0, 6], [12, -12], [0, 0], [-5, -3], [-4, 0], [0, 0], [0, -2], [0, -3], [0, 0], [-9, 0], [2, -3], [0, 0], [-9, 9], [0, -3], [0, 0], [4, -4], [7, 0], [0, 0], [1, 0], [6, -6], [0, 0], [0, -2], [6, -6], [0, 0], [9, -3], [0, 0], [0, 0], [0, -2], [0, -10], [0, 0], [2, 0], [9, -3], [0, 0], [-5, 5], [0, 3], [0, 0], [0, 0], [-9, 0], [0, 0], [18, 0], [-4, 4], [0, 0], [0, 3], [-6, 6], [0, 0], [-4, 6], [6, 0], [0, 0], [0, -12], [0, 6], [0, 0], [-13, 0], [-8, 5], [0, 0], [-4, 4]]}