# Stored data for newform 507.2.a.j, downloaded from the LMFDB on 19 April 2024.
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"prec": 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": "2.813", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.507", "prec": 20}, {"__RealLiteral__": 0, "data": "0.572", "prec": 17}, {"__RealLiteral__": 0, "data": "215.942", "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": [-1, 3, -4, -10], "traces": [0, 3, -1, 3, -1, -4, -1, -10, 0, 3, -1, 1, -1, 0, 1, -4, -5, -7, -1, -11, -1, -10, -5, 2, 0, -5, 0, 3, 1, -8, -1, -8, 4, 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"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.j", "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], [1, 0, 0], [0, 0, 1], [-2, 1, -1], [0, -1, 0], [-4, 1, -1], [-1, 2, -1], [1, 0, 0], [-1, 2, 0], [2, -1, 4], [0, 0, 1], [0, 0, 0], [-1, 4, 0], [-2, 1, -1], [-3, 1, -3], [-2, 0, 1], [0, -1, 0], [-2, -4, 1], [0, -1, 0], [-4, 1, -1], [-2, -2, -3], [-2, 3, -5], [-1, 2, -1], [0, -3, 2], [0, 0, 0], [1, 0, 0], [0, -1, -2], [-1, -3, 2], [-1, 2, 0], [-3, 3, 2], [3, -1, 4], [2, -1, 4], [-1, 2, -1], [9, -5, 4], [0, 0, 1], [-5, 0, -1], [7, 2, 3], [0, 0, 0], [4, -4, 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