# Stored data for newform 950.2.a.j, downloaded from the LMFDB on 19 April 2024.
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"data": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [950, 1, [77, 401], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 993, "field_disc_factorization": [[3, 1], [331, 1]], "field_poly": [3, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "2.862", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.696", "prec": 20}, {"__RealLiteral__": 0, "data": "0.225", "prec": 17}, {"__RealLiteral__": 0, "data": "244.663", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [19, -1]], "trace_display": [-3, -2, 0, -2], "traces": [0, 3, -3, -2, 3, 0, 2, -2, -3, 5, 0, 2, -2, 6, 2, 0, 3, -12, -5, 3, 0, 7, -2, 2, 2, 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"level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "950.2.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], [-1, 0, 0], [-1, 1, 0], [1, 0, 0], [0, 0, 0], [1, -1, 0], [-1, 0, 1], [-1, 0, 0], [2, -2, 1], [0, 0, 0], [0, 2, 0], [-1, 1, 0], [2, -1, 1], [1, 0, -1], [0, 0, 0], [1, 0, 0], [-4, 1, -1], [-2, 2, -1], [1, 0, 0], [0, 0, 0], [2, 1, 0], [0, -2, 0], [1, 1, -2], [1, -1, 0], [0, 0, 0], [-2, 1, -1], [-6, 3, -2], [-1, 0, 1], [2, 1, -1], [0, 0, 0], [2, 2, 0], [-1, 0, 0], [8, -2, 2], [4, -1, 1], [0, 0, 0], [2, -2, 1], [1, -2, 0], [-1, 0, 0], [-5, 5, -1], [0, 0, 0], [0, 0, 0], [-2, -1, 0], [4, 2, 0], [0, 2, 0], [0, 0, 0], [-1, -1, 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