# Stored data for newform 430.2.a.f, downloaded from the LMFDB on 19 April 2024.
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"analytic_rank_proved": true, "char_values": [430, 1, [87, 261], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 43], "conrey_indexes": [1], "field_disc": 24, "field_disc_factorization": [[2, 3], [3, 1]], "field_poly": [-6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.059", "prec": 17}, {"__RealLiteral__": 0, "data": "2.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.412", "prec": 17}, {"__RealLiteral__": 0, "data": "9.734", "prec": 17}, {"__RealLiteral__": 0, "data": "2.524", "prec": 17}, {"__RealLiteral__": 0, "data": "65.453", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [43, 1]], "trace_display": [2, 0, -2, 2], "traces": [0, 2, 2, 0, 2, -2, 0, 2, 2, 6, -2, 4, 0, -2, 2, 0, 2, 0, 6, 2, -2, 0, 4, 4, 0, 2, -2, 0, 2, 14, 0, -6, 2, -12, 0, -2, 6, -4, 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true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "430.2.a.f", "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], [1, 0], [0, 1], [1, 0], [-1, 0], [0, 1], [1, 0], [1, 0], [3, 0], [-1, 0], [2, -1], [0, 1], [-1, 0], [1, 0], [0, -1], [1, 0], [0, -1], [3, 0], [1, -2], [-1, 0], [0, 1], [2, -1], [2, 1], [0, 1], [1, 0], [-1, 0], [0, 0], [1, 0], [7, -1], [0, -1], [-3, -1], [1, 0], [-6, 2], [0, -1], [-1, 0], [3, 0], [-2, -1], [1, -2], [0, -1], [-1, 0], [-7, 2], [0, 1], [-1, 0], [2, -1], [-3, 0], [2, 1], [0, -1], [0, 1], [-6, 0], [1, 0], [-6, 0], [-1, 0], [4, 4], [0, 0], [-2, 1], [1, 0], [-12, 1], [7, -1], [0, -2], [0, -1], [-1, 1], [-3, -1], [3, 0], [1, 0], [1, 0], [-6, 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