# Stored data for newform 350.2.e.j, downloaded from the LMFDB on 25 April 2024. {"label": "350.2.e.j", "space_label": "350.2.e", "level": 350, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532671557796190, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1661144480434608402, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [0, 1]], [11, [9, 3, 1]], [13, [-5, 1]], [17, [4, 2, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}+(3-2\\zeta_{6})q^{7}+\\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": 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0, 12, 0, 0, -4, -11, 0, 0, -28, 0, 10, 84, 0, 10, 2, 36, 70, 0, 0, 31, -28, 0, 0, -30, 33, -32, -10, 0, -30, 36, 0, -28, 0, -27, -8, 35, 0, 0, 5, 0, 5, -8, 0, 18, -18, 0, 28, 0, 0, -40, -6, 0, 0, 4, 0, -18, 10, 0, 32, 5, 0, -20, 0, 0, -32, -60, 0, 0, 17, 24, -4, -21, 0, 65, 16, 0, -34, 0, -15, 52, 8, 0, 0, 28, 0, -21, -8, 0, 12, -12, 0, -80, 0, 0, -2, 48, 27, 0, -20, 0, -72, 8, 0, 27, -5, 48, 9, 0, 0, -64, -2, 0, 0, 33, 0, 64, -64, 0, -6, 54, 0, 12, 0, -12, 24, -29, 0, 0, 16, 0, -50, 14, 0, 8, -2, 0, -30, 0, 0, -38, 4, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "70.2.i.b", "char_is_minimal": true, "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], [0, 0], [-1, 1], [0, 0], [0, 0], [3, -2], [-1, 0], [0, 3], [0, 0], [-3, 3], [0, 0], [5, 0], [2, 1], [0, 0], [0, -1], [-2, 2], [-3, 3], [0, 5], [0, 0], [0, 0], [-3, 0], [0, -7], [0, 0], [0, 0], [0, 5], [0, 0], [-1, 3], [-4, 0], [0, 0], [2, -2], [1, -1], [0, 0], [-2, 0], [0, 0], [-3, 0], [0, 1], [-5, 5], [0, 0], [0, 0], [3, 0], [0, 0], [-2, 0], [0, -3], [0, 0], [7, -7], [0, -7], [0, 0], [5, -8], [0, 0], [0, 0], [-5, 5], [9, -9], [0, 0], [0, 0], [-3, 2], [0, 0], [0, -4], [4, -4], [0, 0], [0, -6], [2, 0], [6, 3], [1, 0], [0, 0], [0, 0], [2, -2], [0, -2], [0, 0], [0, 0], [-6, 0], [0, -3], [-16, 16], [-1, 1], [0, 0], [-5, 0], [-3, 9], [0, 0], [0, -14], [0, 0], [-9, 9], [0, 3], [6, 0], [0, 0], [0, 0], [0, -2], [0, 0], [3, -3], [0, -2], [0, 0], [15, -10], [7, 0], [0, 0], [7, -7], [0, 0], [0, 0], [12, 0], [8, -3], [-9, 0], [0, 0]]}