# Stored data for newform 950.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "950.2.a.l", "space_label": "950.2.a", "level": 950, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934630838, "dim": 3, "is_polredabs": true, "nf_label": "3.3.993.1", "trace_hash": 1790504647274020518, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [3, -5, -2, 1]], [7, [-1, -13, -2, 1]], [11, [24, -24, -2, 1]]], "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(1-\\beta _{1})q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3800, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 7.585788192021637, "hecke_ring_index": 1, "level_radical": 190, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "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": [950, 1, [77, 401], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 993, "field_disc_factorization": [[3, 1], [331, 1]], "field_poly": [3, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "2.862", "prec": 17}, {"__RealLiteral__": 0, "data": "0.571", "prec": 17}, {"__RealLiteral__": 0, "data": "21.696", "prec": 20}, {"__RealLiteral__": 0, "data": "9.941", "prec": 17}, {"__RealLiteral__": 0, "data": "244.663", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [19, -1]], "trace_display": [3, 2, 0, 2], "traces": [0, 3, 3, 2, 3, 0, 2, 2, 3, 5, 0, 2, 2, -6, 2, 0, 3, 12, 5, 3, 0, 7, 2, -2, 2, 0, -6, 17, 2, 6, 0, 8, 3, -24, 12, 0, 5, -1, 3, -11, 0, 0, 7, -14, 2, 0, -2, 3, 2, 9, 0, 15, -6, -10, 17, 0, 2, 2, 6, 6, 0, -2, 8, -14, 3, 0, -24, 4, 12, 0, 0, -6, 5, -12, -1, 0, 3, -10, -11, 20, 0, 23, 0, -4, 7, 0, -14, -3, 2, 14, 0, 19, -2, -20, 3, 0, 2, -28, 9, -36, 0, -8, 15, -4, -6, 0, -10, -10, 17, 2, 0, -26, 2, -18, 2, 0, 6, -47, 6, -15, 0, 19, -2, 0, 8, 0, -14, -2, 3, 16, 0, -20, -24, 2, 4, 0, 12, -12, 0, 2, 0, -12, -6, 10, 5, 0, -12, -15, -1, 2, 0, 60, 3, 57, -10, 0, -11, -14, 20, -63, 0, -53, 23, 38, 0, 0, -4, 34, 7, 3, 0, 5, -14, 1, -3, 0, 2, -6, 14, -17, 0, -9, 19, 10, -2, 0, -20, -6, 3, -29, 0, -18, 2, 50, -28, 0, 9, -40, -36, -38, 0, -17, -8, 27, 15, 0, -4, 51, -6, 2, 0, 50, -10, -66, -10, 0, 17, -6, 2, -32, 0, -54, -26, -28, 2, 0, -18, -16, 2, -26, 0, 30, 6, 13, -47, 0, 6, 64, -15, 34, 0, 10, 19, 53, -2, 0, 0, -6, 8, -42, 0, -42, -14, -4, -2, 0, 3, 34, 16, -12, 0, -27, -20, 8, -24, 0, 2, 60, 4, 23, 0, 46, 12, -7, -12, 0, 0, -52, 2, -26, 0, -6, -12, 14, -6, 0, 10, 0, 5, 27, 0, 46, -12, -6, -15, 0, -1, -42, 2, -49, 0, 2, 60, 6, 3, 0, 57, -13, -10, 34, 0, -38, -11, 0, -14, 0, 20, -36, -63, 18, 0, -87, -53, 12, 23, 0, 38, 7, 0, 48, 0, 42, -4, -41, 34, 0, 7, 4, 3, -12, 0, 56, 5, 61, -14, 0, 1, 6, -3, -6, 0, -101, 2, 40, -6, 0, 14, 21, -17, 40, 0, 3, -9, -10, 19, 0, 10, 0, -2, 0, 0, -58, -20, 32, -6, 0, 3, 18, -29, 28, 0, 52, -18, 26, 2, 0, 50, 16, -28, -4, 0, 45, 9, 12, -40, 0, -36, -36, -38, 7, 0, -6, -17, -2, -8, 0, 27, 50, 15, 38, 0, -39, -4, -105, 51, 0, -6, 4, 2, 32, 0, 32, 50, -69, -10, 0, -66, 56, -10, 108, 0, 36, 17, 60, -6, 0, 2, -2, -32, 12, 0, -96, -54, 18, -26, 0, -28, 66, 2, 56, 0, 0, -18, 40, -16, 0, 2, 8, -26, 135, 0, 6, 30, -7, 6, 0, 13, 22, -47, 20, 0, 16, 6, -60, 64, 0, -15, -78, 34, -3, 0, 16, 10, -6, 19, 0, 53, 20, -2, -14, 0, -24, 0, -6, -6, 0, 8, -84, -42, -38, 0, 48, -42, -48, -14, 0, -4, 54, -2, -13, 0, -71, 3, 17, 34, 0, 16, 30, -12, 54, 0, -48, -27, -32, -20, 0, 8, 18, -24, 37, 0, 99, 2, 0, 60, 0, 4, 0, 23, 48, 0, -52, 46, 70, 12, 0, -7, 0, -12, -38, 0, 6, 0, 36, -52, 0, 2, -48, -26, 14, 0, -156, -6, -67, -12, 0, 14, 55, -6, 0, 0, 76, 10, 12, 0, 0, 5, -12, 27, 22, 0, 32, 46, 106, -12, 0, -6, 30, -15, 8, 0, 24, -1, -39, -42, 0, 2, 31, -49, -2, 0, 22, 2, -50, 60, 0, 6, 14, 3, 21, 0, 54, 57, -46, -13, 0, -10, 59, 34, -8, 0, 96, -38, 32, -11, 0, 0, -24, -14, -18, 0, -51, 20, 46, -36, 0, -63, 72, 18, -54, 0, 20, -87, 30, -53, 0, 12, 18, 23, 24, 0, 44, 38, -58, 7, 0, 0, -5, 48, 12, 0, 10, 42, -102, -4, 0, -41, -57, 34, -44, 0, -24, 7, -4, 4, 0, 3, -78, -12, -42, 0, -81, 56, 49, 5, 0, 61, -68, -14, 25, 0, 58, 1, -12, 6, 0, -3, 0, -6, -42, 0, -42, -101, -1, 2, 0, 40, 52, -6, -6, 0, 112, 14, -8, 21, 0, -17, 24, 40, -18, 0, 66, 3, 4, -9, 0, -10, -6, 19, 62, 0, -42, 10, 88, 0, 0, -2, 42, 0, -54, 0, -11, -58, 18, -20, 0, 32, -120, -6, -121, 0, -4, 3, 48, 18, 0, -29, 28, 28, -90, 0, 32, 52, 30, -18, 0, 26, -111, 2, -40, 0, 48, 50, -60, 16, 0, -28, 23, -4, 0, 0, 120, 45, -33, 9, 0, 12, 94, -40, -96, 0, -12, -36, 50, -36, 0, -38, -74, 7, -48, 0, 102, -6, 40, -17, 0, -2, 114, -8, 16, 0, -52, 27, 4, 50, 0, 15, -14, 38, -25, 0, -46, -39, -54, -4, 0, -105, -78, 51, -24, 0, -122, -6, -54, 4, 0, 2, -8, 32, -16, 0, -45, 32, 24, 50, 0, -69, -102, -10, 40, 0, -2, -66, -20, 56, 0, -10, -22, 108, 30, 0, 0, 36, 14, 17, 0, 60, 98, -6, -88, 0, 29, 2, 106, -2, 0, -32, -20, 12, 3, 0, -53, -96, -80, -54, 0, 18, 8, -26, -82, 0, -162, -28, 3, 66, 0, 2, -51, 56, 30, 0, -45, 0, -58, -18, 0, 40, -72, -16, -48, 0, 6, 2, 76, 8, 0, -26, -2, 135, 56, 0, -20, 6, -6, 30, 0, -7, -2, 6, -60, 0, 9, 13, 3, 22, 0, -47, -48, 20, -131, 0, -102, 16, 0, 6, 0, -60, -60, 64, -15, 0, -42, -15, -66, -78, 0, 34, 12, -3, -48, 0, -21, 16, -63, 10, 0, -6, 8, 19, 15, 0, 76, 53, -102, 20, 0, -2, -2, -14, -92, 0, -14, -24, -18, 0, 0, -6, 21, -6, 12, 0, 22, 8, 145, -84, 0, -42, 68, -38, -59, 0], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "950.2.a.j", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0], [1, 0, 0], [1, 0, 0], [1, -1, 0], [1, 0, 0], [0, 0, 0], [1, -1, 0], [1, 0, -1], [1, 0, 0], [2, -2, 1], [0, 0, 0], [0, 2, 0], [1, -1, 0], [-2, 1, -1], [1, 0, -1], [0, 0, 0], [1, 0, 0], [4, -1, 1], [2, -2, 1], [1, 0, 0], [0, 0, 0], [2, 1, 0], [0, 2, 0], [-1, -1, 2], [1, -1, 0], [0, 0, 0], [-2, 1, -1], [6, -3, 2], [1, 0, -1], [2, 1, -1], [0, 0, 0], [2, 2, 0], [1, 0, 0], [-8, 2, -2], [4, -1, 1], [0, 0, 0], [2, -2, 1], [-1, 2, 0], [1, 0, 0], [-5, 5, -1], [0, 0, 0], [0, 0, 0], [2, 1, 0], [-4, -2, 0], [0, 2, 0], [0, 0, 0], [-1, -1, 2], [1, 2, -2], [1, -1, 0], [3, 3, -3], [0, 0, 0], [7, -7, 1], [-2, 1, -1], [-5, 4, 1], [6, -3, 2], [0, 0, 0], [1, 0, -1], [1, -1, 0], [2, 1, -1], [1, -1, 4], [0, 0, 0], [0, 0, -2], [2, 2, 0], [-5, -1, 2], [1, 0, 0], [0, 0, 0], [-8, 2, -2], [1, 2, -1], [4, -1, 1], [1, -4, 1], [0, 0, 0], [-4, 4, 2], [2, -2, 1], [-5, 1, 2], [-1, 2, 0], [0, 0, 0], [1, 0, 0], [-2, -2, -2], [-5, 5, -1], [8, -4, 0], [0, 0, 0], [10, -7, 0], [0, 0, 0], [-2, 4, -2], [2, 1, 0], [0, 0, 0], [-4, -2, 0], [-1, 1, -1], [0, 2, 0], [6, -4, 0], [0, 0, 0], [6, 2, -1], [-1, -1, 2], [-6, 0, -2], [1, 2, -2], [0, 0, 0], [1, -1, 0], [-8, -6, 2], [3, 3, -3], [-14, 8, -2], [0, 0, 0]]}