# Stored data for newform 114.2.h.f, downloaded from the LMFDB on 24 April 2024.
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"analytic_rank_proved": true, "char_values": [114, 6, [77, 97], [3, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 3, 19], "conrey_indexes": [65, 107], "field_disc": 576, "field_disc_factorization": [[2, 6], [3, 2]], "field_poly": [4, 0, -2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.124", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.332", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1497.312", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c6", "trace_display": [2, 2, 0, 8], "traces": [0, 4, 2, 2, -2, 0, 4, 8, -4, 2, 0, 0, 2, -12, 4, -8, -2, -12, -2, -2, 0, -8, 6, 0, -2, -6, 0, 20, -4, 0, -4, 0, 2, -2, -12, 12, -4, 0, -4, -12, 0, -6, 8, 8, 6, -8, 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"level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 57, 6, 1, 6, 0]], "char_orbit_index": 8, "prim_orbit_index": 6, "minimal_twist": "114.2.h.e", "char_is_minimal": true, "conrey_index": 65, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [1, 0, -1, 0], [0, -1, 1, 1], [0, 0, -1, 0], [0, 1, 0, 0], [1, 0, 0, 1], [2, 2, 0, -1], [-1, 0, 0, 0], [1, -2, -1, 0], [0, 1, 0, -1], [-1, 0, 2, -1], [1, 1, -1, 0], [-4, 0, 2, 0], [2, 1, -2, -2], [-2, 0, 0, 1], [-1, 0, 1, 0], [-2, -2, -2, 0], [0, -2, -1, 2], [0, -3, -1, 3], [0, 0, 0, -1], [-4, -1, 4, 3], [1, -1, 1, 0], [0, 5, 0, -5], [0, 1, -1, -1], [0, 0, -3, 0], [-2, 0, 4, 0], [5, 0, 0, -1], [0, -1, -2, 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3], [2, 0, -4, 7], [-6, 0, 0, -1], [-1, -1, 1, 0], [-3, -6, -3, 0], [3, 4, -3, -8], [-3, 1, 5, -4], [-3, 0, 3, 0]]}