# Stored data for newform 950.2.a.n, downloaded from the LMFDB on 08 March 2021.
{"level_primes": [2, 5, 19], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 1944794729453689178, "level_radical": 190, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 14, "analytic_conductor": 7.585788192021637, "inner_twist_count": 1, "field_disc_factorization": [[2, 3], [71, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "950.2.a.n", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "190.2.b.b", "field_poly_is_cyclotomic": false, "dim": 3, "trace_zratio": {"__RealLiteral__": 0, "data": "0.012", "prec": 17}, "traces": [0, 3, 3, 2, 3, 0, 2, 4, 3, 5, 0, 0, 2, 8, 4, 0, 3, -2, 5, 3, 0, -10, 0, 0, 2, 0, 8, 2, 4, -8, 0, 4, 3, 8, -2, 0, 5, 14, 3, 10, 0, 2, -10, 18, 0, 0, 0, -14, 2, -3, 0, -6, 8, 16, 2, 0, 4, 2, -8, 2, 0, -30, 4, 2, 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0, 79, -28, 32, -18, 0, 10, -8, 16, -12, 0, 44, -64, -72, -48, 0, -6, -6, 0, -24, 0, -76, 52, -80, 2, 0, 6, 8, 4, -48, 0, -14, -24, -50, 0, 0, 46, 36, -20, -70, 0, -18, -7, 70, -22, 0, 34, 44, -16, 44, 0, 16, -28, -14, -104, 0, 4, -142, -66, -144, 0, 6, -36, -88, -18, 0, -12, -26, 2, 74, 0, -40, 2, -40, 58, 0, 26, -16, -30, 18, 0, 72, -30, -28, 28, 0, 18, -48, -8, -48, 0, -3, 16, -10, 38, 0, 30, -22, -26, -6, 0, -56, 100, 28, 2, 0, -20, 10, -76, 86, 0, -46, 2, -22, 10, 0, 10, 8, 16, -38, 0, 47, 28, 4, 14, 0, -6, -122, -13, -6, 0, 16, 8, -88, 40, 0, -30, 14, 12, -4, 0, -42, 4, -64, -32, 0, 46, 32, 8, -16, 0, -16, 4, 102, 48, 0, -20, -76, 36, 16, 0], "hecke_ring_index_factorization": [], "nf_label": "3.3.568.1", "field_poly": [-2, -6, -1, 1], "atkin_lehner_string": "---", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [19, -1]], "char_values": [950, 1, [77, 401], [1, 1]], "Nk2": 3800, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [3, 2, 0, 4], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(1-\\beta _{1})q^{6}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 568, "level_is_prime_power": false, "relative_dim": 3, "hecke_cutters": [[3, [8, -5, -2, 1]], [7, [2, -1, -4, 1]], [11, [-8, -10, 0, 1]]], "space_label": "950.2.a", "level": 950, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 3, "hecke_orbit_code": 58546795189371830, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "2.883", "prec": 17}, {"__RealLiteral__": 0, "data": "0.222", "prec": 17}, {"__RealLiteral__": 0, "data": "23.229", "prec": 20}, {"__RealLiteral__": 0, "data": "2.055", "prec": 17}, {"__RealLiteral__": 0, "data": "279.548", "prec": 24}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0, 0, 0], [1, 0, 0], [1, 0, 0], [1, -1, 0], [1, 0, 0], [0, 0, 0], [1, -1, 0], [1, 1, 0], [1, 0, 0], [2, 0, 1], [0, 0, 0], [0, -1, -1], [1, -1, 0], [3, 0, 1], [1, 1, 0], [0, 0, 0], [1, 0, 0], [-1, 0, -1], [2, 0, 1], [1, 0, 0], [0, 0, 0], [-3, -2, -1], [0, -1, -1], [-1, 1, -2], [1, -1, 0], [0, 0, 0], [3, 0, 1], [1, 1, 2], [1, 1, 0], [-3, -2, -3], [0, 0, 0], [2, 1, 3], [1, 0, 0], [2, 1, -1], [-1, 0, -1], [0, 0, 0], [2, 0, 1], [4, 2, 0], [1, 0, 0], [5, -3, 2], [0, 0, 0], [0, 3, 1], [-3, -2, -1], [6, 1, 1], [0, -1, -1], [0, 0, 0], [-1, 1, -2], [-4, 0, 2], [1, -1, 0], [-2, 4, 1], [0, 0, 0], [-3, 1, -2], [3, 0, 1], [5, 0, -1], [1, 1, 2], [0, 0, 0], [1, 1, 0], [1, -1, 0], [-3, -2, -3], [1, 1, 2], [0, 0, 0], [-10, -1, -1], [2, 1, 3], [0, 2, 0], [1, 0, 0], [0, 0, 0], [2, 1, -1], [1, -3, -2], [-1, 0, -1], [-9, 0, -5], [0, 0, 0], [-4, 5, 1], [2, 0, 1], [5, -2, 3], [4, 2, 0], [0, 0, 0], [1, 0, 0], [-2, -3, -1], [5, -3, 2], [-2, 6, 0], [0, 0, 0], [-5, -2, 0], [0, 3, 1], [-2, 2, 2], [-3, -2, -1], [0, 0, 0], [6, 1, 1], [-1, 5, -4], [0, -1, -1], [-4, -1, 1], [0, 0, 0], [1, 3, 0], [-1, 1, -2], [4, -3, 5], [-4, 0, 2], [0, 0, 0], [1, -1, 0], [2, 0, -4], [-2, 4, 1], [-4, 0, 0], [0, 0, 0]]}