# Stored data for newform 350.2.e.h, downloaded from the LMFDB on 24 April 2024.
{"label": "350.2.e.h", "space_label": "350.2.e", "level": 350, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525472303055198, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1143625477931271682, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, 2, 1]], [11, [9, 3, 1]], [13, [5, 1]], [17, [36, -6, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(-2+2\\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": "e", "char_is_real": false, "Nk2": 1400, "analytic_conductor": 2.7947640707448134, "hecke_ring_index": 1, "level_radical": 70, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [350, 3, [127, 101], [3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [51, 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": "1.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.333", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "96.975", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, -2, 0, 4], "traces": [0, 2, 1, -2, -1, 0, -4, 4, -2, -1, 0, -3, -2, -10, -1, 0, -1, 6, 1, 1, 0, -10, -6, 3, 2, 0, -5, -8, -5, -12, 0, 4, 1, -6, 12, 0, 2, 11, -1, 10, 0, 6, -8, 20, -3, 0, -3, 3, 4, 2, 0, 12, 5, 3, -4, 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"conrey_index": 51, "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], [-2, 2], [-1, 1], [0, 0], [-2, 0], [1, 2], [-1, 0], [0, -1], [0, 0], [-3, 3], [0, -2], [-5, 0], [-2, 3], [0, 0], [0, -1], [6, -6], [1, -1], [0, 1], [0, 0], [-6, 2], [-3, 0], [0, 3], [2, -2], [0, 0], [0, -5], [-4, 0], [-3, 1], [-6, 0], [0, 0], [4, -4], [1, -1], [0, -6], [6, 0], [0, 0], [1, 0], [0, 11], [-1, 1], [10, -10], [0, 0], [3, 0], [-2, -4], [10, 0], [0, -3], [0, 0], [-3, 3], [0, 3], [2, 0], [-3, 8], [0, 0], [0, 12], [5, -5], [3, -3], [0, -4], [0, 0], [-1, -2], [-2, 0], [0, -6], [0, 0], [0, 0], [0, 4], [4, 0], [2, -3], [1, 0], [0, 0], [6, -6], [-4, 4], [0, 6], [-6, 0], [0, 0], [12, 0], [0, 1], [-4, 4], [-11, 11], [0, 0], [-1, 0], [-9, 3], [10, 0], [0, 10], [0, 0], [11, -11], [0, 3], [12, 0], [4, -6], [0, 0], [0, 10], [12, -12], [3, -3], [0, -6], [0, 0], [-5, -10], [-3, 0], [0, 8], [-3, 3], [0, 0], [0, 2], [-14, 0], [-8, 5], [3, 0], [0, 0]]}