# Stored data for newform 140.2.g.a, downloaded from the LMFDB on 29 March 2023.
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96, 96, 24, 0, -48, 0, -84, -24, 24, 80, -38, 48, 8, 0, 0, -48, 16, -84, 18, 0, 24, 0, -48, 0, 64, 0, -114, 48, 0, 48, 50, 0, 72, 12, -84, 144, -24, 12, 30, 48, -72, 0, -48, 8, -48, -32, -72, 0, -16, 0, 0, 0, 0, 0, 52, -48, -48, 96, -24, 0, 12, 0, -84, -16, 80, -120, 14, -24, 0, 0, -36, 0, -16, 24, 78, 0, -60, 0, -18, 0, 0, 0, -60, -24, -48, 24, -90, 0, -16, -12, 96, 0, -72, 24, 48, 0, 104, 0, -36, -24, -48, -96, 78, 0, 0, 0, 12, 0, 0, 0, -12, -48, 0, 0, 20, 0, 60, 24, 12, -48, 0, 16, 0, -8, -8, 0, 120, -72, 0, 20, 24, 0, 24, 0, -72, 0, -32, 0, -30, -24, 0, -48, 56, 0, -48, 80, -72, 72, -44, 0, 2, -48, -48, 0, -138, 0, 72, 16, 0, 0, -48, 0, 28, 0, 144, 0, -74, -72, -8], "hecke_ring_index_factorization": [[2, 1]], "nf_label": "4.0.144.1", "field_poly": [1, 0, -1, 0, 1], "has_non_self_twist": 1, "char_values": [140, 2, [71, 57, 101], [1, 2, 1]], "Nk2": 560, "field_poly_root_of_unity": 12, "analytic_rank": 0, "char_orbit_label": "g", "weight": 2, "trace_display": [-2, 0, 0, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 2, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(-\\zeta_{12}+\\zeta_{12}^{2})q^{2}+(\\zeta_{12}-\\zeta_{12}^{2}+\\cdots)q^{3}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 144, "level_is_prime_power": false, "relative_dim": 4, "hecke_cutters": [[3, [-3, 0, 1]], [19, [-6, 1]]], "space_label": "140.2.g", "level": 140, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 28, 4, 1, 2, 0]], "char_degree": 1, "char_conductor": 28, "char_orbit_index": 7, "hecke_ring_generator_nbound": 3, "hecke_orbit_code": 412350414988, "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "3.674", "prec": 17}, {"__RealLiteral__": 0, "data": "0.829", "prec": 17}, {"__RealLiteral__": 0, "data": "67.684", "prec": 20}, {"__RealLiteral__": 0, "data": "25.037", "prec": 20}, {"__RealLiteral__": 0, "data": "1755.467", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, -1, 1, 0], [0, 1, -1, 1], [0, 1, 0, 1], [0, 0, 1, 0], [-2, 0, -1, -1], [0, 1, 1, 1], [-2, 0, -2, 0], [0, 0, 0, 0], [0, 0, -1, 1], [-1, 1, 2, -1], [2, 1, 0, -1], [2, -2, -3, 2], [-2, 0, -3, 1], [-1, 1, 0, -1], [0, 2, 0, -2], [2, -2, 3, 2], [0, 0, 0, 0], [6, 0, 0, 0], [-2, 1, 0, -1], [1, 2, 0, -2], [2, -1, -3, 2], [2, -2, -2, 2], [2, -4, 2, 0], [-1, 0, 0, 0], [-4, 2, 5, -3], [0, -3, 3, -3], [-2, 3, 0, -3], [1, -4, 4, -4], [2, -1, -1, 0], [-6, 0, 0, 0], [4, -4, 0, 0], [-2, 2, 3, -2], [-4, 2, -1, 3], [-3, 1, 0, -1], [0, 0, 0, 0], [-6, 2, -2, 2], [0, -6, 6, 0], [3, -3, -6, 3], [2, 0, -2, 0], [2, -2, 0, 2], [4, -5, 1, 0], [0, 0, 2, 0], [-4, 1, 4, -3], [0, 0, 0, 0], [-4, 2, 4, -2], [0, -1, 1, -1], [0, 2, 4, 2], [-5, 4, 0, -4], [0, 1, -1, 0], [-3, 3, -6, -3], [6, -1, -8, 5], [2, 0, 0, 0], [6, 0, 3, 3], [-2, -1, 1, -1], [6, -4, -2, 0], [0, 6, -6, 6], [8, -1, 5, 4], [0, 2, -2, 2], [0, -1, 4, -1], [-2, 2, -6, -2], [0, 6, -6, 0], [0, 0, 0, 0], [0, 0, 8, 0], [3, 2, -2, 2], [4, -2, -5, 3], [-2, 2, 0, -2], [-6, 5, -8, -1], [2, -2, -6, 2], [2, 1, -3, 0], [2, -2, 4, 2], [0, 0, 0, 0], [-4, 4, -6, -4], [-4, 6, -8, -2], [0, -1, 1, -1], [0, 6, 0, 6], [-6, 0, 5, -4], [-6, 3, 9, -6], [5, -5, 6, 5], [0, -2, 4, -2], [-9, 0, 0, 0], [-4, 2, 2, 0], [12, -2, 2, -2], [0, 1, 8, 1], [-3, 2, -2, 2], [0, 0, -2, 2], [-12, 1, -1, 1], [6, 0, -6, 4], [2, -2, -6, 2], [0, 0, 0, 0], [9, 1, -10, 7], [4, 0, -8, 4], [0, -6, 6, -6], [2, 0, 1, 1], [0, 0, 6, 0], [-4, 0, -8, 4], [6, -6, 3, 6], [8, -3, -5, 0], [0, 0, 0, 0], [0, -1, 0, -1]]}