# Stored data for newform 546.2.a.i, downloaded from the LMFDB on 20 April 2024.
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"analytic_rank_proved": true, "char_values": [546, 1, [365, 157, 379], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "conrey_indexes": [1], "field_disc": 41, "field_disc_factorization": [[41, 1]], "field_poly": [-10, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.120", "prec": 17}, {"__RealLiteral__": 0, "data": "9.554", "prec": 17}, {"__RealLiteral__": 0, "data": "0.789", "prec": 17}, {"__RealLiteral__": 0, "data": "67.658", "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], [3, 1], [7, -1], [13, -1]], "trace_display": [2, -2, -1, 2], "traces": [0, 2, 2, -2, 2, -1, -2, 2, 2, 2, -1, 5, -2, 2, 2, 1, 2, 1, 2, 5, -1, -2, 5, 3, -2, 11, 2, -2, 2, -1, 1, 0, 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true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "546.2.a.i", "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], [-1, 0], [1, 0], [0, -1], [-1, 0], [1, 0], [1, 0], [1, 0], [0, -1], [2, 1], [-1, 0], [1, 0], [1, 0], [0, 1], [1, 0], [0, 1], [1, 0], [2, 1], [0, -1], [-1, 0], [2, 1], [2, -1], [-1, 0], [5, 1], [1, 0], [-1, 0], [1, 0], [0, -1], [0, 1], [0, 0], [1, 0], [-2, -1], [0, 1], [0, -1], [1, 0], [8, -1], [2, 1], [-1, 0], [0, -1], [-2, -2], [-1, 0], [-2, 3], [2, 1], [0, -1], [2, -1], [-8, 0], [-1, 0], [1, 0], [5, 1], [0, -1], [1, 0], [-2, 0], [-1, 0], [-10, -3], [1, 0], [-2, -1], [0, -1], [-4, 4], [0, 1], [4, 1], [0, 0], [1, 0], [1, 0], [0, -1], [-2, 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