# Stored data for newform 429.2.a.d, downloaded from the LMFDB on 19 April 2024.
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"analytic_rank_proved": true, "char_values": [429, 1, [287, 79, 67], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 11, 13], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.987", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.712", "prec": 17}, {"__RealLiteral__": 0, "data": "0.740", "prec": 17}, {"__RealLiteral__": 0, "data": "64.980", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [11, 1], [13, 1]], "trace_display": [0, -2, -2, -4], "traces": [0, 2, 0, -2, 2, -2, 0, -4, 0, 2, -6, -2, -2, -2, 0, 2, -10, 10, 0, -8, -2, 4, 0, -4, 0, -2, 0, -2, -4, 2, 6, -6, 0, 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"inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "429.2.a.d", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 1], [-1, 0], [1, 0], [-1, -1], [0, -1], [-2, 0], [0, -1], [1, 0], [-3, -1], [-1, 0], [-1, 0], [-1, 0], [0, -2], [1, 1], [-5, 0], [5, -1], [0, 1], [-4, -2], [-1, -1], [2, 0], [0, -1], [-2, 0], [0, 1], [-1, 2], [0, -1], [-1, 0], [-2, 0], [1, 3], [3, 1], [-3, 3], [0, -3], [1, 0], [-3, 5], [2, 2], [1, 0], [-2, 0], [-6, -4], [1, 0], [3, 1], [-2, 2], [0, 2], [-1, 3], [-1, 0], [-1, -1], [0, -2], [2, 2], [5, 0], [-3, 0], [6, -1], [-5, 1], [-1, 0], [2, 0], [0, -1], [1, 1], [0, 2], [4, 2], [9, 1], [-10, 2], [1, 1], [-2, -4], [9, -3], [-2, 0], [1, 0], [1, 1], [0, 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