# Stored data for newform 405.3.h.a, downloaded from the LMFDB on 08 August 2022.
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"q+(-1+\\zeta_{6})q^{2}+3\\zeta_{6}q^{4}-5\\zeta_{6}q^{5}+\\cdots", "self_twist_discs": [-15], "char_is_real": false, "field_disc": -3, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[2, [1, 1, 1]], [7, [0, 1]]], "space_label": "405.3.h", "level": 405, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, -15], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 8, -1, 6, 0]], "char_degree": 2, "char_conductor": 45, "char_orbit_index": 8, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 481086669205, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.952", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17.876", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "223.317", "prec": 24}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0], [1, 0], [-1, 1], [0, 0], [0, 3], [0, -5], [0, 0], [0, 0], [-7, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 5], [-14, 0], [0, 0], [-22, 0], [15, -15], [0, 0], [0, 0], [0, -34], [0, 0], [-25, 25], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, -33], [0, 0], [14, -14], [0, 0], [0, 0], [0, 0], [22, -22], [0, 0], [0, 35], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [34, 0], [14, -14], [0, 0], [0, -49], [0, -25], [0, 0], [0, 0], [-86, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [118, -118], [2, 0], [0, 0], [13, 0], [0, 0], [0, 0], [0, 0], [0, -42], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -66], [0, 0], [0, 0], [-98, 98], [25, 0], [0, 0], [0, 0], [-154, 154], [0, 0], [0, 70], [0, 0], [0, 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