# Stored data for newform 369.2.a.e, downloaded from the LMFDB on 16 April 2024.
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"analytic_rank_proved": true, "char_values": [369, 1, [83, 334], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 41], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "2.913", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.015", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "242.333", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [41, 1]], "trace_display": [-1, 0, -4, 2], "traces": [0, 3, -1, 0, 3, -4, 0, 2, -3, 0, 6, 4, 0, 8, 12, 0, -1, -2, 0, 2, 6, 0, -10, 10, 0, 5, 2, 0, -16, 6, 0, -2, -7, 0, 0, -8, 0, 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"minimal_twist": "123.2.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, 0], [1, 0, 0], [0, -1, 0], [0, 0, 0], [1, 0, 1], [-1, -1, 1], [0, 0, 0], [1, -1, -1], [-1, 0, -1], [0, 0, 0], [2, 0, 0], [1, 1, 0], [0, 0, 0], [3, -1, 1], [4, 0, 2], [0, 0, 0], [-1, 2, -1], [-1, 1, -2], [0, 0, 0], [1, -1, 1], [2, 0, -2], [0, 0, 0], [-3, -1, -1], [3, 1, -1], [0, 0, 0], [1, 2, -4], [2, -4, 0], [0, 0, 0], [-4, -4, 0], [1, 3, 0], [0, 0, 0], [-2, 4, 1], [-3, 2, 1], [0, 0, 0], [-1, 3, 1], [-2, -2, 4], [0, 0, 0], [6, 2, -1], [2, -2, 0], [0, 0, 0], [-2, 0, 2], [-1, 0, 0], [0, 0, 0], [4, -2, 5], [2, 2, 2], [0, 0, 0], [-2, -2, 0], [-1, -1, -2], [0, 0, 0], [3, 2, 0], [-2, 3, 2], [0, 0, 0], [6, 0, 2], [-6, 4, -2], [0, 0, 0], [-3, -1, 1], [4, 4, 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