# Stored data for newform 324.4.e.a, downloaded from the LMFDB on 24 April 2024. {"label": "324.4.e.a", "space_label": "324.4.e", "level": 324, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 274945016132, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 871182773888449381, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [324, 18, 1]], [7, [64, 8, 1]]], "qexp_display": "q-18\\zeta_{6}q^{5}+(-8+8\\zeta_{6})q^{7}+(6^{2}-6^{2}\\zeta_{6})q^{11}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "e", "char_is_real": false, "Nk2": 5184, "analytic_conductor": 19.11661884185996, "hecke_ring_index": 1, "level_radical": 6, "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, 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0, 0, 44136, 0, 25596, 0, 0, 0, -65088, 0, -56864, 0, 0, 0, -15696, 0, 39778, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], "char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "12.4.a.a", "char_is_minimal": false, "conrey_index": 109, "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, 0], [0, 0], [0, 0], [0, -18], [0, 0], [-8, 8], [0, 0], [0, 0], [0, 0], [36, -36], [0, 0], [0, 10], [0, 0], [0, 0], [0, 0], [-18, 0], [0, 0], [-100, 0], [0, 0], [0, 0], [0, 0], [0, 72], [0, 0], [-199, 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