# Stored data for newform 675.2.e.a, downloaded from the LMFDB on 01 April 2023.
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-24, 0, 0, -51, 8, 0, 0, -50, 0, -18, -20, 0, 15, 36, 0, 20, 0, 0, 9, 4, 0, 0, 72, 0, 10, 14, 0, 16, 24, 0, -20, 0, 0, 0, -9, 0, 0, -7, 0, 15, -28, 0, 32, -57, 0, 8, 0, 0, 36, -52, 0, 0, 8, 0, -18, -36, 0, 31, 16, 0, 22, 0, 0, 41, -21, 0, 0, 72, 0, -96, -16, 0, 7, 38, 0, -30, 0, 0, -40, -3, 0, 0, -4, 0, -16, 48, 0, 52, 0, 0, 6, 0, 0, -18, -64, 0, 0], "hecke_ring_index_factorization": [], "nf_label": "2.0.3.1", "field_poly": [1, -1, 1], "has_non_self_twist": 1, "char_values": [675, 3, [326, 352], [1, 3]], "Nk2": 2700, "field_poly_root_of_unity": 6, "analytic_rank": 0, "char_orbit_label": "e", "weight": 2, "trace_display": [-1, 0, 0, -3], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": false, "qexp_display": "q+(-1+\\zeta_{6})q^{2}+\\zeta_{6}q^{4}+(-3+3\\zeta_{6})q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": -3, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[2, [1, 1, 1]]], "space_label": "675.2.e", "level": 675, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], "char_degree": 2, "char_conductor": 9, "char_orbit_index": 5, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 274911462051, "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "1.922", "prec": 17}, {"__RealLiteral__": 0, "data": "0.143", "prec": 17}, {"__RealLiteral__": 0, "data": "11.032", "prec": 20}, {"__RealLiteral__": 0, "data": "1.327", "prec": 17}, {"__RealLiteral__": 0, "data": "96.215", "prec": 20}], "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, 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