# Stored data for newform 210.2.i.b, downloaded from the LMFDB on 25 April 2024.
{"label": "210.2.i.b", "space_label": "210.2.i", "level": 210, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504149416739026, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1098300892178532312, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [25, -5, 1]], [13, [5, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "i", "char_is_real": false, "Nk2": 840, "analytic_conductor": 1.676858442446888, "hecke_ring_index": 1, "level_radical": 210, "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": [210, 3, [71, 127, 31], [3, 3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [121, 151], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.936", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.009", "prec": 20}, {"__RealLiteral__": 0, "data": "0.301", "prec": 17}, {"__RealLiteral__": 0, "data": "97.512", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, 1, -1, -4], "traces": [0, 2, -1, 1, -1, -1, -2, -4, 2, -1, -1, 5, 1, -10, -1, -2, -1, 4, -1, 7, 2, -5, -10, -1, 1, -1, 5, -2, 5, 0, 1, 2, -1, -5, -8, -1, 2, -1, 7, -5, -1, 10, 4, 24, 5, -1, -1, 11, -2, 2, 2, -4, 5, 9, 1, -10, -4, 14, 0, -4, 1, 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"prim_orbit_index": 3, "minimal_twist": "210.2.i.b", "char_is_minimal": true, "conrey_index": 121, "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], [0, -1], [1, -1], [-1, 1], [0, -1], [-1, 0], [-1, -2], [1, 0], [0, -1], [-1, 1], [5, -5], [0, 1], [-5, 0], [-2, 3], [-1, 0], [0, -1], [4, -4], [-1, 1], [0, 7], [1, 0], [-3, 1], [-5, 0], [0, -1], [1, -1], [-1, 1], [0, 5], [-1, 0], [3, -1], [0, 0], [0, 1], [2, -2], [-1, 1], [0, -5], [-4, 0], [-2, 3], [1, 0], [0, -1], [7, -7], [-5, 5], [0, -1], [5, 0], [1, 2], [12, 0], [0, 5], [-1, 1], [-1, 1], [0, 11], [-1, 0], [-3, 8], [1, 0], [0, -4], [5, -5], [9, -9], [0, 1], [-5, 0], [-1, -2], [7, 0], [0, 0], [-4, 4], [1, -1], [0, -4], [-2, 0], [-2, 3], [1, 0], [0, 5], [-5, 5], [12, -12], [0, 4], [-1, 0], [3, -1], [2, 0], [0, -1], [-10, 10], [-1, 1], [0, 1], [-7, 0], [-15, 5], [5, 0], [0, 12], [-1, 1], [-1, 1], [0, -5], [-12, 0], [2, -3], [-4, 0], [0, -12], [0, 0], [5, -5], [0, -14], [1, 0], [5, 10], [1, 0], [0, -2], [11, -11], [7, -7], [0, 1], [-8, 0], [8, -5], [-5, 0], [0, -1]]}