# Stored data for newform 315.2.bl.g, downloaded from the LMFDB on 24 April 2024. {"label": "315.2.bl.g", "space_label": "315.2.bl", "level": 315, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27024140418416955, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1331779937232797493, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [11, [12, 6, 1]], [13, [27, -9, 1]], [17, [-3, 1]]], "qexp_display": "q+(2-\\zeta_{6})q^{3}-2\\zeta_{6}q^{4}-\\zeta_{6}q^{5}+(-3+\\cdots)q^{7}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "bl", "char_is_real": false, "Nk2": 1260, "analytic_conductor": 2.5152876636703323, "hecke_ring_index": 1, "level_radical": 105, "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, 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"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, 0], [2, -1], [0, -2], [0, -1], [0, 0], [-3, 1], [0, 0], [3, -3], [0, 0], [-2, -2], [-2, -2], [6, -3], [0, 0], [-1, -1], [-4, 4], [3, 0], [0, 0], [2, -4], [-2, 2], [-5, 4], [0, 0], [-8, 4], [0, 0], [-1, 1], [0, 0], [3, -6], [2, 4], [1, 1], [0, 0], [4, -2], [0, 0], [-6, 0], [0, 0], [1, 2], [-6, 0], [10, 0], [0, 0], [9, -9], [0, 0], [0, 12], [0, 0], [8, -8], [-4, 8], [-3, 0], [0, 0], [0, 0], [-4, 8], [8, -5], [0, 0], [6, -3], [-6, -6], [2, -4], [0, 0], [-2, 4], [0, 0], [0, -6], [0, 0], [0, 0], [-2, 4], [-4, -4], [0, 0], [-6, 9], [8, 0], [-3, -3], [0, 0], [0, 10], [0, -6], [-12, 12], [0, 0], [-7, 14], [0, 0], [1, -2], [0, 0], [-1, 2], [-8, 4], [8, 2], [0, 0], [-8, 8], [4, 0], [0, -9], [0, 0], 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