# Stored data for newform 666.2.a.i, downloaded from the LMFDB on 25 April 2024.
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"analytic_rank_proved": true, "char_values": [666, 1, [371, 631], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 37], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.939", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "9.342", "prec": 17}, {"__RealLiteral__": 0, "data": "0.291", "prec": 17}, {"__RealLiteral__": 0, "data": "61.706", "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], [37, 1]], "trace_display": [-2, 0, -1, -2], "traces": [0, 2, -2, 0, 2, -1, 0, -2, -2, 0, 1, 5, 0, 1, 2, 0, 2, 0, 0, 0, -1, 0, -5, 1, 0, 13, -1, 0, -2, 3, 0, 17, -2, 0, 0, 16, 0, -2, 0, 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"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, 0], [1, 0], [1, -3], [0, 0], [0, -2], [-1, 0], [0, 0], [-1, 3], [3, -1], [0, 0], [2, -3], [0, 2], [0, 0], [1, 0], [-2, 4], [0, 0], [-2, 4], [1, -3], [0, 0], [-3, 1], [2, -3], [0, 0], [5, 3], [-2, 3], [0, 0], [0, -2], [-2, 7], [0, 0], [9, -1], [-1, 0], [0, 0], [2, -4], [6, 4], [0, 0], [-1, 0], [2, -4], [0, 0], [-1, 3], [-8, -1], [0, 0], [-2, -2], [3, -1], [0, 0], [-2, 3], [-2, 2], [0, 0], [-3, 4], [-5, -3], [0, 0], [2, -3], [6, -4], [0, 0], [6, -7], [0, 2], [0, 0], [2, -7], [8, -2], [0, 0], [9, 1], [-9, 1], [0, 0], [1, 0], [11, 0], [0, 0], [-7, 5], [-2, 4], [0, 0], [-6, -4], [10, -8], [0, 0], [-1, 5], [1, 0], [0, 0], [-2, 4], [2, -4], [0, 0], [6, -9], [1, -3], [0, 0], [8, 1], [8, 4], [0, 0], [-14, -2], [2, 2], [0, 0], [-3, 1], [8, -4], [0, 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