# Stored data for newform 289.4.a.i, downloaded from the LMFDB on 25 April 2024.
{"label": "289.4.a.i", "space_label": "289.4.a", "level": 289, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028797086073121, "dim": 12, "is_polredabs": true, "trace_hash": 201102885473073275, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [29352, -21960, -117822, 4607, 93255, 5163, -20922, -627, 1872, 17, -72, 0, 1]], [3, [-1242003, -6443010, 22610910, -10471190, -3422262, 1841532, 177392, -99708, -2097, 2228, -54, -18, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2-\\beta _{5})q^{3}+(4+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4624, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 17.05155199165904, "hecke_ring_index": 2312, "level_radical": 17, "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": 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