# Stored data for newform 725.2.a.b, downloaded from the LMFDB on 19 April 2024.
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"analytic_rank_proved": true, "char_values": [725, 1, [552, 176], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 29], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.153", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.016", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [29, -1]], "trace_display": [2, -2, 0, 0], "traces": [0, 2, 2, -2, 2, 0, -6, 0, 6, 0, 0, 2, -10, 2, 8, 0, 6, 4, 8, 12, 0, -8, -2, 4, -10, 0, 10, -2, 16, 2, 0, 6, -6, 2, -4, 0, 16, 8, 12, -10, 0, 8, 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"char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "29.2.a.a", "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], [1, 1], [-1, -1], [1, 2], [0, 0], [-3, -2], [0, 2], [3, 1], [0, 2], [0, 0], [1, -1], [-5, -3], [1, 2], [4, 2], [0, 0], [3, 0], [2, -2], [4, 2], [6, 0], [0, 0], [-4, -2], [-1, 0], [2, -4], [-5, -4], [0, 0], [5, 3], [-1, 1], [8, 2], [1, 0], [0, 0], [3, 5], [-3, 1], [1, 0], [-2, 0], [0, 0], [8, 2], [4, 0], [6, 6], [-5, -3], [0, 0], [4, -6], [-8, -6], [-5, 1], [-3, 1], [0, 0], [-6, -2], [-1, 3], [-3, -3], [1, 0], [0, 0], [2, 0], [9, 4], [-1, -6], [1, 0], [0, 0], [4, 6], [-6, -6], [1, 1], [2, -4], [0, 0], [-2, -2], [13, 8], [8, 0], [-7, -2], [0, 0], [1, 1], [0, -4], [-6, 2], [6, 2], [0, 0], [-6, -2], 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