# Stored data for newform 4008.2.a.g, downloaded from the LMFDB on 29 March 2024. {"label": "4008.2.a.g", "space_label": "4008.2.a", "level": 4008, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797781416, "dim": 7, "is_polredabs": true, "trace_hash": 2181862408994921347, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4, 56, 133, 23, -50, -15, 3, 1]], [7, [-192, 336, -37, -147, 55, 11, -8, 1]]], "qexp_display": "q-q^{3}-\\beta _{1}q^{5}+(1+\\beta _{2})q^{7}+q^{9}+(-\\beta _{1}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16032, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 32.00404113012918, "hecke_ring_index": 2, "level_radical": 1002, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, 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