# Stored data for newform 729.2.a.a, downloaded from the LMFDB on 25 March 2023.
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"analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(-\\beta _{1}-\\beta _{5})q^{2}+(\\beta _{1}-\\beta _{2}-\\beta _{3})q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1397493, "level_is_prime_power": true, "relative_dim": 6, "hecke_cutters": [[2, [3, 9, 0, -12, -3, 3, 1]]], "space_label": "729.2.a", "level": 729, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 33555161, "fricke_eigenval": 1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.355", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "78.074", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1842.879", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0], [0, 1, -1, -1, 0, 0], [-1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1], [-1, 0, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 2], [-2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-1, 2, 0, 0, -1, 0], [-1, 0, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0], [-1, 1, 1, 0, -1, 1], [-2, 1, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, -1, 1, 1, 1], [-1, 0, 1, -1, 0, -2], [0, 0, 0, 0, 0, 0], [0, 2, 0, -1, -1, 1], [-2, -1, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0], [-1, 0, 1, 2, 1, 2], [-2, -1, 0, 3, 1, 2], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 2], [-3, 2, 0, -3, 0, -1], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -2, -2], [0, 0, -1, -2, 2, 2], [0, 0, 0, 0, 0, 0], [-1, 2, 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