# Stored data for newform 441.2.g.a, downloaded from the LMFDB on 24 April 2024.
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2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 7], "conrey_indexes": [67, 79], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.165", "prec": 17}, {"__RealLiteral__": 0, "data": "11.828", "prec": 20}, {"__RealLiteral__": 0, "data": "3.483", "prec": 17}, {"__RealLiteral__": 0, "data": "107.715", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, 3, 2, 0], "traces": [0, 2, -1, 3, 1, 2, 0, 0, -6, 3, -1, 10, 3, -5, 0, 3, 1, 3, 3, 1, 1, 0, -5, 6, -9, -8, -5, 0, 0, 1, 0, 0, -5, 15, 3, 0, 6, -3, -2, 0, -6, -5, 0, 1, 5, 3, -3, 0, 0, 0, 4, 0, -10, 9, 9, 10, 0, 3, -2, 0, 3, -14, 0, 0, 14, -5, 0, -4, 6, 9, 0, -24, 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-14, 24, 0, -40, -3, 40, -27, -54, -6, 0, 9, -106, 0, 0, 5, 84, 0, 88, -15, 0, -36, 58, 27, 0, 26, -45, -19, 0, 0, -19, 0, 0, -30, 0, -24, -27, -25, 0, -3, 28, 0, 10, 3, 51, 0, -27, 3, -45, -22, 0, 1, 0, 27, -17, -18, -84, -38, 60, 0, 12, -13, 3, 5, -14, 0, 0, 3, 0, 54, 15, -45, -84, 0, 0, 0, -14, 42, -15, 0, 0, -10, 20, -24, 15, 8, 0, 0, -52, 54, -8, 30, 15, 25, 0, 21, 31, -15, -102, -11, 10, 0, -13, -84, 9, 18, 57, 0, 0, -19, 0, 14, -18, -33, -65, 0, -27, -13, 6, 0, 4, -3, 0, -5, 3, 15, 37, 0, 0, 0, 3, 0, 34, -31, -27, 54], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 0]], "char_orbit_index": 7, "prim_orbit_index": 7, "minimal_twist": "63.2.g.a", "char_is_minimal": false, "conrey_index": 67, "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], [1, 0], [-1, 1], [2, -1], [0, 1], [1, 0], [-1, 2], [0, 0], [-3, 0], [3, -3], [-1, 1], [5, 0], [1, 1], [-5, 5], [0, 0], [2, -1], [1, -1], [3, -3], [0, 3], [0, 1], [0, 1], [0, 0], [-5, 5], [3, 0], [-6, 3], [-4, 0], [0, -5], [3, -6], [0, 0], [0, 1], [-1, 2], [0, 0], [0, -5], [10, -5], [0, 3], [0, 0], [3, 0], [0, -3], [-1, 0], [-5, 10], [-3, 0], [-5, 5], [0, 0], [0, 1], [0, 5], [3, -3], [-3, 3], [0, 0], [1, -2], [0, 0], [4, -4], [3, -6], [-5, 0], [9, -9], [3, 3], [5, 0], [0, 0], [1, 1], [-1, 0], [0, 0], [1, 1], [-14, 14], [0, 0], [0, 0], [7, 0], [-5, 5], [-5, 10], [0, -4], [3, 0], [6, -3], [0, 0], [-12, 0], [-9, 9], [3, -3], [3, 0], [-8, 4], [-1, 1], [0, 0], [-5, -5], [-8, 8], [1, -1], [0, -9], [0, -5], [0, -9], [0, 0], [3, -3], [-1, 0], [1, 1], [-15, 0], [0, -13], [0, 3], [0, 0], [0, 3], [0, 0], [0, 0], [0, 1], [-5, -5], [0, -9], [0, 0], [15, -15], [0, -4]]}