# Stored data for newform 507.2.a.g, downloaded from the LMFDB on 24 April 2024.
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"analytic_rank_proved": true, "char_values": [507, 1, [170, 340], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "8.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.651", "prec": 17}, {"__RealLiteral__": 0, "data": "57.144", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [13, 1]], "trace_display": [1, 2, -3, -3], "traces": [0, 2, 1, 2, 5, -3, 1, -3, 9, 2, 7, -4, 5, 0, -10, -3, 3, 1, 1, 6, 1, -3, -2, 4, 9, 3, 0, 2, -16, 1, 7, 1, 9, -4, 9, -4, 5, 11, -14, 0, -5, 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"level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "39.2.e.b", "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], [0, 1], [1, 0], [2, 1], [-2, 1], [0, 1], [-1, -1], [4, 1], [1, 0], [4, -1], [-2, 0], [2, 1], [0, 0], [-4, -2], [-2, 1], [0, 3], [0, 1], [0, 1], [4, -2], [0, 1], [-1, -1], [0, -2], [2, 0], [4, 1], [3, -3], [0, 0], [1, 0], [-6, -4], [2, -3], [4, -1], [1, -1], [4, 1], [-2, 0], [4, 1], [-2, 0], [2, 1], [6, -1], [-8, 2], [0, 0], [-4, 3], [0, 1], [-4, -2], [3, -1], [-4, -2], [-2, 1], [0, 2], [2, -4], [0, 3], [-2, 3], [-12, 0], [0, 1], [0, 0], [4, 3], 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