# Stored data for newform 130.2.j.b, downloaded from the LMFDB on 25 April 2024. {"label": "130.2.j.b", "space_label": "130.2.j", "level": 130, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504218136215682, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 949754973951857084, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [2, 2, 1]]], "qexp_display": "q+iq^{2}+(-1+i)q^{3}-q^{4}+(-2+i)q^{5}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 65, "char_orbit_label": "j", "char_is_real": false, "Nk2": 520, "analytic_conductor": 1.038055226276645, "hecke_ring_index": 1, "level_radical": 130, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.250", "prec": 17}, 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"minimal_twist": "130.2.g.c", "char_is_minimal": true, "conrey_index": 47, "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], [0, 1], [-1, 1], [-1, 0], [-2, 1], [-1, -1], [-2, 0], [0, -1], [0, 1], [-1, -2], [1, -1], [1, -1], [2, 3], [0, -2], [1, -3], [1, 0], [-5, 5], [-1, 0], [3, -3], [2, -1], [2, -2], [1, 1], [5, 5], [1, 1], [3, -4], [-3, 2], [-4, -4], [2, 0], [0, 4], [3, 1], [1, 1], [0, 1], [0, 2], [-5, -5], [4, -2], [0, -1], [8, 0], [3, 3], [-5, -1], [1, 2], [1, 1], [2, 2], [-5, -5], [-1, 1], [-1, -2], [-5, 5], [-2, 0], [-1, 1], [-3, 0], [4, 3], [0, -10], [-2, -3], [-1, 1], [4, -4], [-1, 3], [0, 2], [0, 6], [-4, 0], [-3, -3], [-1, 3], [2, 0], [-1, 1], [0, -2], [-1, 0], [-7, 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