# Stored data for newform 1950.2.b.c, downloaded from the LMFDB on 09 May 2024.
{"label": "1950.2.b.c", "space_label": "1950.2.b", "level": 1950, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007268007774110, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 460147680581579437, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [4, 0, 1]], [11, [0, 1]], [17, [-2, 1]], [19, [36, 0, 1]]], "qexp_display": "q-iq^{2}-q^{3}-q^{4}+iq^{6}+2iq^{7}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 13, "char_orbit_label": "b", "char_is_real": true, "Nk2": 7800, "analytic_conductor": 15.570828394149675, "hecke_ring_index": 1, "level_radical": 390, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.519", "prec": 17}, "analytic_rank_proved": true, "char_values": [1950, 2, [1301, 1327, 301], [2, 2, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1351], "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.920", "prec": 17}, {"__RealLiteral__": 0, "data": "0.245", "prec": 17}, {"__RealLiteral__": 0, "data": "14.575", "prec": 20}, {"__RealLiteral__": 0, "data": "2.560", "prec": 17}, {"__RealLiteral__": 0, "data": "139.935", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c2", "trace_display": [0, -2, 0, 0], "traces": [0, 2, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 6, 4, 0, 2, 4, 0, 0, 0, 0, 0, -8, 0, 0, 4, -2, 0, -20, 0, 0, 0, 0, 0, 0, -2, 0, -12, -6, 0, 0, -4, -8, 0, 0, 0, 0, -2, 6, 0, -4, -6, 12, 0, 0, -4, 0, 0, 0, 0, 4, 20, 0, -2, 0, 0, 0, -4, 8, 0, 0, 0, 0, -16, 0, 0, 0, -4, 0, 0, 2, 20, 0, 0, 0, 0, 20, 0, 0, 0, -8, 8, 0, 24, 0, 0, 0, 0, 0, 0, 4, 0, 32, -4, 0, 0, -16, 2, 0, 0, 0, 0, -28, 12, 0, 20, 6, 8, 0, 0, 22, 0, 0, 0, 0, 4, -16, 0, 8, 0, -16, 0, 24, 4, 0, 0, 0, 0, -40, 0, 0, 0, 0, 2, 0, 8, -6, 0, 0, 0, 0, 12, 4, 0, 0, 6, 4, 0, -12, 0, 0, 0, 0, 0, 0, 8, 0, 4, 10, 0, 0, 8, 12, 0, 0, 0, 0, -12, 0, 0, 44, 12, -4, 0, 0, -20, 0, 0, 0, 0, 24, 2, 0, 24, 0, -6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -8, 6, 0, 0, 24, -12, 0, 0, 0, 0, -40, 8, 0, 0, 12, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 12, 4, 0, 0, 0, 8, 0, 0, 0, 0, -2, -4, 0, -20, 24, -20, 0, 0, -56, 0, 0, 0, 0, 2, -36, 0, 32, 0, -20, 0, -48, 0, 0, 0, 0, 0, -20, 0, 0, 4, 8, 4, 0, -8, 4, 0, 0, 0, 0, -24, -8, 0, 0, 0, -40, 0, -26, 0, 0, 0, 0, 0, 0, 16, 0, 28, -24, 0, 0, 20, -4, 0, 0, 0, 0, 0, -32, 0, -56, 4, 52, 0, 0, 0, 0, 0, 0, 0, 16, -16, 0, -2, 0, 28, 0, -20, -48, 0, 0, 0, 0, 24, 0, 0, 4, 24, 28, 0, 0, -12, 0, 0, 0, 0, 24, -20, 0, 0, -6, 0, 0, -8, 0, 0, 0, 0, 0, 0, -34, 0, -22, 8, 0, 0, -16, -8, 0, 0, 0, 0, 12, 0, 0, -24, -60, -4, 0, 0, 16, 0, 0, 0, 0, -32, -8, 0, 60, 0, -16, 0, 16, 44, 0, 0, 0, 0, -24, 0, 0, -4, -40, -4, 0, -40, 0, 0, 0, 0, 0, -32, -16, 0, 0, 4, 40, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -2, 52, 0, 0, 0, 0, -8, 0, 0, 6, 8, 32, 0, 0, 28, 0, 0, 0, 0, 0, 28, 0, -16, 0, -12, 0, 8, -4, 0, 0, 0, 0, -20, 0, 0, 24, -6, -8, 0, -4, -8, 0, 0, 0, 0, 12, -32, 0, 0, 32, 40, 0, -22, 0, 0, 0, 0, 0, 0, -56, 0, -40, -36, 0, 0, 0, -8, 0, 0, 0, 0, -48, -4, 0, 0, -10, 16, 0, 0, -16, 0, 0, 0, 0, -8, 0, 0, -12, 0, -36, 0, -8, 16, 0, 0, 0, 0, -14, 0, 0, -24, -40, 12, 0, -4, 0, 0, 0, 0, 0, -20, -44, 0, 0, -12, -56, 0, 4, 0, 0, 0, 0, 0, 0, 40, 0, 20, -24, 0, 0, -20, 32, 0, 0, 0, 0, 0, 20, 0, -56, 0, -24, 0, 0, -2, 0, 0, 0, 0, -16, -24, 0, -8, 0, 28, 0, 6, 120, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 44, -16, 0, 0, 0, 0, 64, -12, 0, 0, -48, -4, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 24, -6, 0, 0, 0, -4, 0, 0, 0, 0, -24, -36, 0, 12, 18, 0, 0, 0, -36, 0, 0, 0, 0, -24, 64, 0, 0, 0, 40, 0, 52, -8, 0, 0, 0, 0, 40, 0, 0, -20, -12, -8, 0, -16, 80, 0, 0, 0, 0, -4, 12, 0, 0, -10, -36, 0, -48, 0, 0, 0, 0, 0, 0, 40, 0, -8, 36, 0, 0, -12, 0, 0, 0, 0, 0, -32, -12, 0, 44, -4, -96, 0, 0, -52, 0, 0, 0, 0, 0, 12, 0, -8, 0, 0, 0, 8, 40, 0, 0, 0, 0, -44, 0, 0, -16, -12, 2, 0, -16, 4, 0, 0, 0, 0, 0, 20, 0, 0, -24, 24, 0, 20, 0, 0, 0, 0, 0, 0, 64, 0, 56, -40, 0, 0, 44, 68, 0, 0, 0, 0, -16, -24, 0, 8, -16, -2, 0, 0, 36, 0, 0, 0, 0, -24, -32, 0, 120, 0, 0, 0, 20, 6, 0, 0, 0, 0, 48, 0, 0, 0, 12, -16, 0, 0, 4, 0, 0, 0, 0, -60, 0, 0, 0, 60, 20, 0, -100, 0, 0, 0, 0, 0, 0, -4, 0, 8, -8, 0, 0, -4, -48, 0, 0, 0, 0, 8, -60, 0, -4, -6, 12, 0, 0, 0, 0, 0, 0, 0, 142, 40, 0, -24, 0, 24, 0, 12, 8, 0, 0, 0, 0, 8, 0, 0, 44, 0, -40, 0, 40, -40, 0, 0, 0, 0, 26, 40, 0, 0, -8, -8, 0, 48, 0, 0, 0, 0, 0, 0, 84, 0, 72, -12, 0, 0, 24, -16, 0, 0, 0, 0, 144, -28, 0, -4, 24, -12, 0, 0, 24, 0, 0, 0, 0, -20, -56, 0, 4, 0, 24, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -12, 32, 0, 0, 0, 0, -12, 56, 0, 0, -4, 4, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -8, 12, 0, 0, 0, 0, 48, -8, 0, -138, -48, -16, 0, 0, 16, 0, 0, 0, 0, 24, 2, 0, -36, 0, 4, 0, -28, 0, 0, 0, 0, 0, 20, 0, 0, 48, -24, 32, 0, -16, 20, 0, 0, 0, 0, 84, 28, 0, 0, 0, -24, 0, 56, 0, 0, 0, 0, 0, 0, -4, 0, -68, -24, 0, 0, -28, -12, 0, 0, 0, 0, 0, -2, 0, 12, 0, 36, 0, 0, 104, 0, 0, 0, 0, -32, 8, 0, 0, 0, -24, 0, -56, 20, 0, 0, 0, 0, -60, 0, 0, 48, 6, 40, 0, 0, -40, 0, 0, 0, 0, 8, -48, 0, 0, 60, 0, 0, 100, 0, 0, 0, 0, 0, 0, 20, 0, 0, -16, 0, 0, -40, 34, 0, 0, 0, 0, -4, 22, 0, 64, -8, 12, 0, 0, -4, 0, 0, 0, 0, 16, 120, 0, 8, 0, 0, 0, -4, 60, 0, 0, 0, 0, -36, 0, 0, 4, -16, -12, 0, 48, 0, 0, 0, 0, 0, -24, 24, 0, 0, 60, 8, 0, 4, 0, 0, 0, 0, 0, 0, -56, 0, -16, 0, 0, 0, 160, 40, 0, 0, 0, 0, -68, -16, 0, 26, 24, 32, 0, 0, 8, 0, 0, 0, 0, 0, -60, 0, -48, 0, -56, 0, 16, -56, 0, 0, 0, 0, -16, 0, 0, -44, -48, -16, 0, -52, -96, 0, 0, 0, 0, -28, -68, 0, 0, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -20, 40, 0, 0, 4, 12, 0, 0, 0, 0, 40, -48, 0, 0, 72, 72, 0, 0, -32, 0, 0, 0, 0, -16, 0, 0, 44, 0, 32, 0, -52, 16, 0, 0, 0, 0, 56, 0, 0, 80, -4, 100, 0, -40, -52, 0, 0, 0, 0, -80, -32, 0, 0, -48, 20, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 24, 12, 0, 0, 44, 0, 0, 0, 0, 0, -48, -16, 0, -12, 0, 16, 0, 0, 104, 0, 0, 0, 0, 2, -76, 0, -52, 0, 84, 0, 32, -28, 0, 0, 0, 0, 0, 0, 0, 20, 12, 8, 0, 48, 0, 0, 0, 0, 0, -80, -6, 0, 0, -8, 64, 0, -32, 0, 0, 0, 0, 0, 0, -24, 0, -28, 96, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 64, -24, 0, 0, 0, -28, 0, 0, 0, 0, 84, 16, 0, 0, 0, 48, 0, 12, -54, 0, 0, 0, 0, -8, 0, 0, 4, 24, -88, 0, -36, -20, 0, 0, 0, 0, 48, -24, 0, 0, -48, 20, 0, 40, 0, 0, 0, 0, 0, 0, -24, 0, -16, 6, 0, 0, 8, 0, 0, 0, 0, 0, 4, 8, 0, 8, -16, -72, 0, 0, -60, 0, 0, 0, 0, -80, 24, 0, -20, 0, -12, 0, -68, 32, 0, 0, 0, 0, -80, 0, 0, 64, -32, 34, 0, -40, 64, 0, 0, 0, 0, 22, -28, 0, 0, -8, -240, 0, -40, 0, 0, 0, 0, 0, 0, 88, 0, 16, -84, 0, 0, 8, 56, 0, 0, 0, 0, -52, 40, 0, -36, 36, -88, 0, 0, -32, 0, 0, 0, 0, 0, -12, 0, 8, 0, 0, 0, -32, -80, 0, 0, 0, 0, 24, 0, 0, 0, 60, 48, 0, 24, 4, 0, 0, 0, 0, 160, 0, 0, 0, 10, 60, 0, -16, 0, 0, 0, 0, 0, 0, -56, 0, 16, 24, 0, 0, -120, 48, 0, 0, 0, 0, -128, 32, 0, -12, -16, 8, 0, 0, 0, 0, 0, 0, 0, -60, 12, 0, 40, 0, -56, 0, 36, 16, 0, 0, 0, 0, 8, 0, 0, -16, 66, -76, 0, -44, 48, 0, 0, 0, 0, -56, 152, 0, 0, 8, 14, 0, 32, 0, 0, 0, 0, 0, 0, 24, 0, 48, 40, 0, 0, -12, -16, 0, 0, 0, 0, 4, -20, 0, 0, 40, -108, 0, 0, 4, 0, 0, 0, 0, 4, 20, 0, 40, 0, 20, 0, 0, 44, 0, 0, 0, 0, 48, 0, 0, -76, 12, 0, 0, 56, 60, 0, 0, 0, 0, -4, 32, 0, 0, -48, 16, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, -48, -4, 0, 0, 24, -40, 0, 0, 0, 0, 64, -20, 0, -80, 24, -32, 0, 0, -118, 0, 0, 0, 0, 20, -80, 0, -32, 0, -72, 0, -28, 44, 0, 0, 0, 0, 40, 0, 0, 64, -48, 0, 0, -112, -20, 0, 0, 0, 0, -16, 56, 0, 0, 0, 8, 0, 24, 0, 0, 0, 0, 0, 0, 88, 0, 2, 72, 0, 0, -52, -148, 0, 0, 0, 0, 0, 192, 0, 4, 12, 16, 0, 0, 24, 0, 0, 0, 0, 64, 8, 0, -16, 0, 0, 0, -28, -80, 0, 0, 0, 0, -6, 0, 0, -120, -8, -40, 0, 0, -32, 0, 0, 0, 0, 4, -32, 0, 0, -8, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -200, 0, 0, 0, 0, -44, 0, 0, 16, -120, -28, 0, 0, 24, 0, 0, 0, 0, 16, 0, 0, -32, 0, -64, 0, 152, 12, 0, 0, 0, 0, -80, 0, 0, -8, 48, -32, 0, 4, 0, 0, 0, 0, 0, -4, 144, 0, 0, 0, -56, 0, -54, 0, 0, 0, 0, 0, 0, 20, 0, -12, 0, 0, 0, -36, -8, 0, 0, 0, 0, -24, -24, 0, 64, 6, 132, 0, 0, 8, 0, 0, 0, 0, 0, -20, 0, 4, 0, -80, 0, 8, -140, 0, 0, 0, 0, 104, 0, 0, 40, 24, 24, 0, 84, 36, 0, 0, 0, 0, -56, -12, 0, 0, -18, 32, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 36, -32, 0, 0, -240, -40, 0, 0, 0, 0, 132, 44, 0, 22, -56, 24, 0, 0, -64, 0, 0, 0, 0, -80, 0, 0, -20, 0, -96, 0, -40, 84, 0, 0, 0, 0, -52, 0, 0, 8, -40, 56, 0, 48, 40, 0, 0, 0, 0, 40, -108, 0, 0, 36, -40, 0, 40, 0, 0, 0, 0, 0, 0, 20, 0, 0, 12, 0, 0, 8, 12, 0, 0, 0, 0, 16, 160, 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, 13, 2, 1, 2, 0]], "char_orbit_index": 2, "prim_orbit_index": 2, "minimal_twist": "78.2.b.a", "char_is_minimal": true, "conrey_index": 1351, "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, 0], [-1, 0], [0, 0], [0, 1], [0, 2], [0, 1], [1, 0], [0, 0], [0, 0], [1, 0], [3, 2], [2, 0], [0, 0], [1, 0], [2, 0], [0, -1], [0, -6], [0, 0], [0, -2], [0, 0], [-4, 0], [0, -1], [0, 0], [2, -3], [-1, 0], [0, -2], [-10, 0], [0, 0], [0, 10], [0, -1], [0, 0], [0, -2], [0, 0], [-1, 0], [0, -8], [-6, 0], [-3, -2], [0, 0], [0, 10], [-2, 0], [-4, 0], [0, 0], [0, 0], [0, 4], [0, 12], [-1, 0], [3, 0], [0, 0], [-2, 0], [-3, -2], [6, 0], [0, 1], [0, 0], [-2, 0], [0, 6], [0, 10], [0, 4], [0, 0], [2, 0], [10, 0], [0, 2], [-1, 0], [0, 0], [0, 0], [0, 2], [-2, 0], [4, 0], [0, 0], [0, 0], [0, 1], [0, 4], [-8, 0], [0, 0], [0, 6], [0, 0], [-2, 3], [0, 0], [0, 0], [1, 0], [10, 0], [0, 4], [0, 2], [0, 0], [0, 4], [10, 0], [0, 0], [0, -6], [0, 0], [-4, 6], [4, 0], [0, -10], [12, 0], [0, 0], [0, 1], [0, 12], [0, -3], [0, 0], [0, 0]]}