# Stored data for newform 35.3.d.a, downloaded from the LMFDB on 31 January 2023.
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1680, 1080, -1768, 0, -116, 0, 0, -868, -600, 1080, 0, 524, 0, 0], "hecke_ring_index_factorization": [], "nf_label": "2.0.20.1", "field_poly": [5, 0, 1], "has_non_self_twist": 1, "char_values": [35, 2, [22, 31], [2, 1]], "Nk2": 315, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "d", "weight": 3, "trace_display": [-2, 0, 0, 14], "analytic_rank_proved": true, "char_parity": -1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-q^{2}+2\\beta q^{3}-3q^{4}+\\beta q^{5}-2\\beta q^{6}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": -20, "level_is_prime_power": false, "relative_dim": 2, "hecke_cutters": [[2, [1, 1]]], "space_label": "35.3.d", "level": 35, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], "char_degree": 1, "char_conductor": 7, "char_orbit_index": 4, "hecke_ring_generator_nbound": 5, "hecke_orbit_code": 206208761891, "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.913", "prec": 17}, {"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "15.074", "prec": 20}, {"__RealLiteral__": 0, "data": "1.428", "prec": 17}, {"__RealLiteral__": 0, "data": "149.465", "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, 0], [0, 2], [-3, 0], [0, 1], [0, -2], [7, 0], [7, 0], [-11, 0], [0, -1], [2, 0], [0, -6], [0, -6], [-7, 0], [-10, 0], [5, 0], [0, 12], [11, 0], [0, -6], [0, -3], [0, 14], [-2, 0], [26, 0], [0, 14], [-5, 0], [0, 6], [0, -4], [-21, 0], [-22, 0], [10, 0], [0, -24], [-33, 0], [0, 4], [0, -12], 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