# Stored data for newform 504.2.s.f, downloaded from the LMFDB on 25 April 2024.
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[504, 3, [127, 253, 281, 73], [3, 3, 3, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [289, 361], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "1.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.375", "prec": 17}, {"__RealLiteral__": 0, "data": "12.027", "prec": 20}, {"__RealLiteral__": 0, "data": "3.950", "prec": 17}, {"__RealLiteral__": 0, "data": "112.416", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [0, 0, 1, -5], "traces": [0, 2, 0, 0, 0, 1, 0, -5, 0, 0, 0, -5, 0, 4, 0, 0, 0, -6, 0, -2, 0, 0, 0, 6, 0, 4, 0, 0, 0, -6, 0, -5, 0, 0, 0, -4, 0, 2, 0, 0, 0, 16, 0, -8, 0, 0, 0, -4, 0, 11, 0, 0, 0, -9, 0, -10, 0, 0, 0, 3, 0, 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21, 0, 48, 0, 0, 0, -28, 0, 28, 0, 0, 0, 120, 0, -4, 0, 0, 0, 6, 0, 6, 0, 0, 0, -2, 0, 34, 0, 0, 0, -15, 0, -50, 0, 0, 0, 28, 0, 180, 0, 0, 0, 48, 0, -18, 0, 0, 0, -24, 0, 7, 0, 0, 0, 0, 0, 14, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "char_orbit_index": 19, "prim_orbit_index": 3, "minimal_twist": "504.2.s.b", "char_is_minimal": true, "conrey_index": 289, "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], [0, 0], [0, 0], [0, 0], [1, -1], [0, 0], [-2, -1], [0, 0], [0, 0], [0, 0], [0, -5], [0, 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