# Stored data for newform 390.2.i.a, downloaded from the LMFDB on 24 April 2024.
{"label": "390.2.i.a", "space_label": "390.2.i", "level": 390, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 549789368710, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 229303363906683502, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [4, 2, 1]], [11, [1, 1, 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": "0.013", "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": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "1.920", "prec": 17}, {"__RealLiteral__": 0, "data": "0.088", "prec": 17}, {"__RealLiteral__": 0, "data": "11.573", "prec": 20}, {"__RealLiteral__": 0, "data": "1.117", "prec": 17}, {"__RealLiteral__": 0, "data": "110.559", "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, -2], "traces": [0, 2, -1, 1, -1, -2, 1, -2, 2, -1, 1, -1, -2, -2, 4, -1, -1, -2, 2, -6, 1, -4, -1, 3, 1, 2, 7, -2, -2, 1, -1, -6, -1, 1, 4, 2, -1, 5, 12, -7, -2, -10, 2, -5, 2, 1, 3, 6, 1, 3, -1, -4, -5, 28, 1, 1, -2, -12, 1, 5, 2, 10, 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"minimal_twist": "390.2.i.a", "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, -2], [1, 0], [0, -1], [1, -1], [-1, 1], [-1, 0], [1, -4], [2, 0], [-1, 1], [-1, 1], [0, -2], [1, 0], [0, -6], [0, 1], [-2, 0], [0, -1], [3, -3], [1, -1], [1, 0], [3, 1], [-1, 0], [-2, 2], [1, -1], [0, -1], [-3, 0], [0, -1], [0, 1], [2, 0], [0, 2], [-1, 1], [5, -5], [6, 0], [-3, -1], [-1, 0], [-10, 10], [2, -2], [0, -5], [1, 0], [0, 1], [0, 3], [3, 0], [0, 1], [3, -3], [-1, 1], [-2, 0], [-4, 3], [14, 0], [1, -1], [1, -1], [0, -2], [-6, 0], [0, 1], [0, 5], [1, 0], [0, 10], [3, -3], [-2, 2], [1, 0], [-1, 4], [-1, 0], [0, 0], [-2, 2], [0, -3], [-2, 0], [0, -4], [0, -1], [-2, 0], [0, 5], [1, -1], [-6, 6], [2, 0], [4, -3], [5, 0], [1, -1], [-1, 1], [0, -10], [-6, 0], [0, 2], [0, 2], [5, 0], [0, -1], [-1, 1], [-10, 10], [-1, 0], [-8, 6], [-3, 0], [-3, 3], [-3, 3], [0, 6], [-1, 0], [0, 10], [0, 3], [1, 0], [0, -1]]}