# Stored data for newform 322.2.a.e, downloaded from the LMFDB on 16 April 2024.
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"analytic_rank_proved": true, "char_values": [322, 1, [185, 281], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 23], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.518", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.647", "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], [7, 1], [23, 1]], "trace_display": [-2, -2, -2, -2], "traces": [0, 2, -2, -2, 2, -2, 2, -2, -2, 6, 2, 0, -2, -4, 2, -8, 2, -10, -6, 0, -2, 2, 0, -2, 2, 2, 4, -20, -2, -4, 8, 2, -2, 0, 10, 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"level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "322.2.a.e", "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, -1], [1, 0], [-1, 1], [1, 1], [-1, 0], [-1, 0], [3, 2], [1, -1], [0, 0], [-1, -1], [-2, 2], [1, 0], [-4, 0], [1, 0], [-5, -1], [-3, -2], [0, -2], [-1, 1], [1, 1], [0, 0], [-1, 0], [1, 1], [1, -2], [2, -2], [-10, -2], [-1, 0], [-2, 0], [4, 0], [1, -1], [-1, 0], [0, 0], [5, 1], [1, -1], [3, 2], [6, 0], [0, 2], [-8, 0], [1, -1], [-10, 0], [-1, -1], [-2, -2], [0, 0], [7, 1], [1, 0], [-9, 1], [-1, -1], [1, 0], [-1, 2], [10, 6], [-2, 2], [-6, 0], [10, 2], [0, 0], [1, 0], [10, 2], [2, 0], [9, 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