# Stored data for newform 507.2.a.i, downloaded from the LMFDB on 23 April 2024.
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17}, "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": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.438", "prec": 20}, {"__RealLiteral__": 0, "data": "3.030", "prec": 17}, {"__RealLiteral__": 0, "data": "256.828", "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], [13, 1]], "trace_display": [-3, -3, -6, -2], "traces": [0, 3, -3, -3, 11, -6, 3, -2, -12, 3, -1, -5, -11, 0, -5, 6, 11, -1, -3, 7, -15, 2, -9, 0, 12, 11, 0, -3, -5, -2, 1, 16, -22, 5, 8, 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-7, 0, -56, 67, 27, -248, -13, 42, 8, 44, -1, 110, 22, 129], "weight_parity": 1, "has_non_self_twist": 0, "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": "507.2.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, 0], [1, 0, 0], [-1, 1, 1], [-1, 0, 0], [4, -1, 0], [-1, -2, 1], [1, -1, -1], [-1, 0, -1], [-5, 3, 0], [1, 0, 0], [-3, 2, -6], [-3, 1, -3], [-4, 1, 0], [0, 0, 0], [-1, -2, 0], [1, 2, -1], [6, -6, 1], [-2, 3, -2], [-1, 1, 1], [2, 1, 0], [-1, -7, 5], [1, 0, 1], [0, -7, 2], [3, -4, 5], [5, -3, 0], [1, 5, -3], [0, 0, 0], [-1, 0, 0], [-3, 1, -3], [-2, 1, 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