# Stored data for newform 144.3.o.a, downloaded from the LMFDB on 20 January 2021.
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-987, 0, 684, 0, 715, 0, 1404, 0], "hecke_ring_index_factorization": [[2, 2], [3, 4]], "nf_label": "8.0.856615824.2", "field_poly": [4, 0, 32, 0, 36, 0, 11, 0, 1], "has_non_self_twist": 1, "char_values": [144, 6, [127, 37, 65], [3, 6, 2]], "Nk2": 1296, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "o", "weight": 3, "trace_display": [0, -3, 3, 3], "analytic_rank_proved": true, "char_parity": -1, "level_is_squarefree": false, "hecke_ring_index": 324, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(1-\\beta _{1}+\\beta _{2}+\\beta _{3})q^{3}+(1-\\beta _{1}+\\beta _{2}+\\cdots)q^{5}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": 856615824, "level_is_prime_power": false, "relative_dim": 4, "hecke_cutters": [[5, [1296, -324, 2133, 729, 3186, 189, 66, -3, 1]], [7, [2566404, -446958, -161487, 32643, 12366, 351, -114, -3, 1]]], "space_label": "144.3.o", "level": 144, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 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