# Stored data for newform 575.2.a.c, downloaded from the LMFDB on 31 January 2023.
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-30, 0, -55, 0, -3, 38, 0, 22, -6, 0, -16, 0, 0, -7, -10, 0, 0, 28, 51, 25, -45, 0, 30, 5, 0, -33, 0, -9, 26, -8, 0, 0, 18, 0, -5, -8, 0, -9, -22, 0, -3, 0, 0, 0, -28, 6, 0, -10, 0, 9, 18, 0, -27, 4, -36, 30, 0, 0, -4, -30, 0, 0, -15, 0, 20, -14, 0, 8, -18, 0, -10, 0, 12, -24, 39, 0, 0, 0, 0, 5, -9, 0, 2, 10, 0, 10, 0, 0, -37, -10, 0, 0], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "--", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[5, -1], [23, -1]], "char_values": [575, 1, [277, 51], [1, 1]], "Nk2": 2300, "field_poly_root_of_unity": 0, "analytic_rank": 1, "char_orbit_label": "a", "weight": 2, "trace_display": [-1, 0, 0, 1], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-q^{2}-q^{4}+q^{7}+3q^{8}-3q^{9}-q^{11}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[2, [1, 1]], [3, [0, 1]]], "space_label": "575.2.a", "level": 575, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 9007199288295999, "fricke_eigenval": 1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.025", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.052", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.128", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [-1], [0], [-1], [0], [0], [1], [3], 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