# Stored data for newform 39.4.f.a, downloaded from the LMFDB on 06 February 2023.
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"char_is_minimal": true, "qexp_display": "q-\\zeta_{12}^{3}q^{3}+8\\zeta_{12}q^{4}+(-10+10\\zeta_{12}+\\cdots)q^{7}+\\cdots", "self_twist_discs": [-3], "char_is_real": false, "field_disc": 144, "level_is_prime_power": false, "relative_dim": 2, "hecke_cutters": [[2, [0, 1]]], "space_label": "39.4.f", "level": 39, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 13, 4, -1, 4, 0], [1, 1, 39, 6, 1, 4, 0]], "char_degree": 2, "char_conductor": 39, "char_orbit_index": 6, "hecke_ring_generator_nbound": 7, "hecke_orbit_code": 343664492583, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.678", "prec": 17}, {"__RealLiteral__": 0, "data": "1.525", "prec": 17}, {"__RealLiteral__": 0, "data": "100.411", "prec": 24}, {"__RealLiteral__": 0, "data": "119.105", "prec": 24}, {"__RealLiteral__": 0, "data": "4344.248", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, 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