# Stored data for newform 177.4.d.a, downloaded from the LMFDB on 12 May 2024.
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"hecke_ring_generator_nbound": 3, "inner_twist_count": 4, "level_primes": [3, 59], "conrey_indexes": [176], "field_disc": -59, "field_disc_factorization": [[-1, 1], [59, 1]], "field_poly": [15, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.865", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.288", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "297.100", "prec": 24}], "related_objects": [], "self_twist_discs": [-59], "cm_discs": [-59], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.1.d2", "trace_display": [0, 7, 0, 58], "traces": [0, 2, 0, 7, -16, 0, 0, 58, 0, -5, 0, 0, -56, 0, 0, 59, 128, 0, 0, 238, 0, 203, 0, 0, 0, 132, 0, -224, -464, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 413, 0, 0, 448, 996, 0, -472, 0, 0, 0, 0, 0, 833, 0, 0, -472, 0, 0, -145, -1024, 0, 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"char_is_minimal": true, "conrey_index": 176, "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], [4, -1], [-8, 0], [-1, 2], [0, 0], [29, 0], [0, 0], [1, -7], [0, 0], [0, 0], [-32, 8], [0, 0], [0, 0], [26, 7], [64, 0], [8, -16], [0, 0], [119, 0], [8, -16], [116, -29], [0, 0], [0, 0], [0, 0], [66, 0], [0, 0], [-101, -22], [-232, 0], [35, -70], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-29, 58], [-8, 56], [0, 0], [0, 0], [0, 0], [0, 0], [-1, 2], [0, 0], [0, 0], [0, 0], [209, -5], [0, 0], [0, 0], [256, -64], [498, 0], [0, 0], [-208, -56], [0, 0], [-91, 182], [0, 0], [0, 0], [0, 0], [476, -119], [0, 0], [-59, 118], [-208, -56], [0, 0], [0, 0], [29, -203], [-512, 0], [0, 0], [0, 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