# Stored data for newform 361.2.a.g, downloaded from the LMFDB on 19 April 2024.
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"analytic_rank_proved": true, "char_values": [361, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [19], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.869", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.380", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "209.251", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[19, 1]], "trace_display": [-3, -3, -3, 0], "traces": [0, 3, -3, -3, 3, -3, 6, 0, -6, 0, 0, 0, -3, 0, -6, -3, 3, 6, -3, 0, -3, -3, 9, -6, -6, -6, -15, -6, 9, -15, 0, -9, 0, 9, -9, 3, -9, 0, 0, -12, 18, -12, 3, 0, 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"level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "19.2.e.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, 0], [1, 0, 0], [-1, 1, 0], [-1, 0, 1], [1, -2, 1], [-1, 0, -1], [2, 0, -1], [0, -1, 0], [-2, 2, -3], [0, 1, -3], [0, -2, 1], [0, 1, 1], [-1, 1, -1], [0, -2, -1], [-2, 1, -1], [-1, -1, 1], [1, -3, 3], [2, -1, 1], [-1, -4, 4], [0, 0, 0], [-1, 3, -1], [-1, 0, 0], [3, 0, 0], [-2, 2, 0], [-2, -3, 4], [-2, 1, 1], [-5, 1, -1], [-2, -3, 3], [3, -2, 2], [-5, 0, 1], [0, 1, -2], [-3, 1, 2], [0, 3, 0], [3, 1, -2], [-3, 4, -2], [1, 2, 0], [-3, 5, -2], [0, 2, -3], [0, 0, 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