# Stored data for newform 390.2.i.d, downloaded from the LMFDB on 19 April 2024.
{"label": "390.2.i.d", "space_label": "390.2.i", "level": 390, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511348671480198, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 189272249472454791, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [25, -5, 1]], [11, [9, -3, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(-1+\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "i", "char_is_real": false, "Nk2": 1560, "analytic_conductor": 3.114165678829935, "hecke_ring_index": 1, "level_radical": 390, "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, "data": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [390, 3, [131, 157, 301], [3, 3, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [61, 211], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.947", "prec": 17}, {"__RealLiteral__": 0, "data": "0.430", "prec": 17}, {"__RealLiteral__": 0, "data": "11.600", "prec": 20}, {"__RealLiteral__": 0, "data": "4.807", "prec": 17}, {"__RealLiteral__": 0, "data": "105.726", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, -1, -2, 5], "traces": [0, 2, 1, -1, -1, -2, 1, 5, -2, -1, -1, 3, 2, -5, 10, 1, -1, 8, -2, 5, 1, -10, -3, 4, 1, 2, 2, 2, 5, 4, -1, -4, 1, 3, 16, -5, -1, 7, 10, -2, 2, -6, -5, -6, -6, 1, -4, -6, -1, -18, 1, -16, 7, 2, 1, -3, -5, -10, -4, -12, 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"char_orbit_index": 9, "prim_orbit_index": 3, "minimal_twist": "390.2.i.d", "char_is_minimal": true, "conrey_index": 61, "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], [1, -1], [-1, 1], [0, -1], [-1, 0], [0, 1], [0, 5], [-1, 0], [0, -1], [-1, 1], [3, -3], [1, 0], [-4, 3], [5, 0], [1, -1], [-1, 1], [0, 8], [-1, 0], [0, 5], [0, 1], [-5, 0], [0, -3], [4, -4], [1, -1], [1, 0], [-1, 4], [1, 0], [5, -5], [4, -4], [0, -1], [-2, 0], [0, 1], [0, 3], [8, 0], [0, -5], [-1, 1], [7, -7], [5, 0], [1, -4], [1, 0], [-6, 6], [-5, 5], [0, -6], [-3, 0], [0, 1], [0, -4], [-3, 0], [0, -1], [-18, 18], [1, -1], [-8, 0], [3, 1], [1, 0], [1, -1], [-3, 3], [0, -5], [-5, 0], [0, -4], [0, -12], [-1, 0], [0, -2], [-2, 2], [5, -5], [1, 0], [4, -3], [3, 0], [-8, 8], [8, -8], [0, 4], [-5, 0], [0, -2], [0, 1], [0, 0], [0, -7], [-1, 1], [5, -5], [15, 0], [-3, -1], [-2, 0], [1, -1], [-1, 1], [0, 6], [8, 0], [0, 5], [0, -8], [-6, 0], [0, 4], [-3, 3], [11, -11], [1, 0], [-15, -5], [-4, 0], [2, -2], [-3, 3], [0, -5], [-1, 0], [0, 0], [0, 18], [-3, 0], [0, -1]]}