# Stored data for newform 430.2.e.b, downloaded from the LMFDB on 20 April 2024.
{"label": "430.2.e.b", "space_label": "430.2.e", "level": 430, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832302, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1169987505787914796, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1, 1]]], "qexp_display": "q-q^{2}+(-1+\\zeta_{6})q^{3}+q^{4}+(-1+\\zeta_{6})q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 43, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1720, "analytic_conductor": 3.4335672869150566, "hecke_ring_index": 1, "level_radical": 430, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [430, 3, [87, 261], [3, 2]], 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"prim_orbit_index": 3, "minimal_twist": "430.2.e.b", "char_is_minimal": true, "conrey_index": 221, "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], [-1, 0], [-1, 1], [1, 0], [-1, 1], [1, -1], [0, -4], [-1, 0], [0, 2], [1, -1], [4, 0], [-1, 1], [0, 2], [0, 4], [0, -1], [1, 0], [0, 4], [0, -2], [-6, 6], [-1, 1], [4, 0], [-4, 0], [0, 0], [1, -1], [0, -1], [0, -2], [-5, 0], [0, -4], [0, 1], [0, 1], [-10, 10], [-1, 0], [-4, 4], [0, -4], [4, 0], [0, 2], [-2, 2], [6, -6], [-2, 0], [1, -1], [5, 0], [-4, 0], [7, -1], [4, 0], [-2, 0], [0, 0], [1, 0], [-1, 1], [-9, 9], [0, 1], [-4, 0], [0, 2], [-10, 10], [5, 0], [-4, 4], [0, 4], [0, -6], [0, -1], [14, 0], [0, -1], [0, 6], [10, -10], [8, 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