# Stored data for newform 960.2.y.b, downloaded from the LMFDB on 20 December 2025.
{"Nk2": 3840, "analytic_conductor": 7.665638594042917, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 80, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 25, "char_orbit_label": "y", "char_order": 4, "char_parity": 1, "char_values": [960, 4, [511, 901, 641, 577], [2, 1, 4, 1]], "cm_discs": [], "conrey_index": 847, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[7, [2, -2, 1]], [11, [18, -6, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4505248928367552, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 80, 19, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "960.2.y.b", "level": 960, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "240.2.y.a", "nf_label": "2.0.4.1", "prim_orbit_index": 19, "qexp_display": "q+q^{3}+(-2 i-1)q^{5}+(i+1)q^{7}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "960.2.y", "trace_display": [0, 2, -2, 2], "trace_hash": 2174678471980465149, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.580", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "93.334", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.253", "prec": 17}, "traces": [0, 2, 0, 2, 0, -2, 0, 2, 0, 2, 0, 6, 0, 0, 0, -2, 0, -10, 0, 10, 0, 2, 0, 2, 0, -6, 0, 2, 0, 10, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 10, 0, 0, 0, -10, 0, -12, 0, -18, 0, 10, 0, 10, 0, -2, 0, 2, 0, 16, 0, 0, 0, 2, 0, 0, 0, 10, 0, -6, 0, 12, 0, -16, 0, 2, 0, 24, 0, -10, 0, 10, 0, -4, 0, -8, 0, 0, 0, -30, 0, 2, 0, 6, 0, 2, 0, -10, 0, 2, 0, -8, 0, 6, 0, 0, 0, -18, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, -18, 0, 0, 0, 10, 0, 20, 0, -2, 0, -26, 0, 22, 0, 10, 0, 24, 0, 10, 0, 0, 0, 10, 0, 16, 0, -10, 0, 8, 0, -36, 0, -12, 0, 4, 0, 24, 0, -18, 0, -10, 0, -6, 0, 10, 0, 0, 0, -14, 0, 10, 0, -34, 0, 14, 0, -2, 0, -32, 0, -60, 0, 2, 0, 0, 0, -14, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 2, 0, 0, 0, -18, 0, 0, 0, 8, 0, -4, 0, 10, 0, 40, 0, -6, 0, -6, 0, 0, 0, -18, 0, 12, 0, -10, 0, -30, 0, -16, 0, -16, 0, -28, 0, 2, 0, -20, 0, 40, 0, 24, 0, 38, 0, 0, 0, -10, 0, 30, 0, 16, 0, 10, 0, -14, 0, 12, 0, -4, 0, 18, 0, 0, 0, -8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 16, 0, 0, 0, 2, 0, 12, 0, 10, 0, 6, 0, 8, 0, -4, 0, 2, 0, 6, 0, 0, 0, -10, 0, -48, 0, 18, 0, 2, 0, -60, 0, 60, 0, -8, 0, -100, 0, -32, 0, 6, 0, 20, 0, 42, 0, 0, 0, 8, 0, 18, 0, -18, 0, 12, 0, 24, 0, -6, 0, -24, 0, -34, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 38, 0, 0, 0, -12, 0, 12, 0, 22, 0, -40, 0, -10, 0, -18, 0, 46, 0, -12, 0, 0, 0, 42, 0, -20, 0, 10, 0, 16, 0, 52, 0, 20, 0, -36, 0, -16, 0, -2, 0, -48, 0, 12, 0, -26, 0, 0, 0, -24, 0, 22, 0, 14, 0, -18, 0, 10, 0, 70, 0, -4, 0, 24, 0, 0, 0, -6, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 10, 0, 0, 0, -48, 0, 16, 0, 24, 0, 50, 0, -10, 0, 58, 0, 26, 0, 8, 0, 0, 0, -4, 0, -36, 0, 12, 0, 10, 0, -12, 0, 16, 0, 64, 0, 4, 0, 2, 0, -30, 0, 24, 0, -18, 0, 0, 0, -18, 0, 0, 0, 42, 0, -10, 0, -46, 0, 2, 0, -6, 0, -22, 0, 0, 0, 10, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 20, 0, 0, 0, 10, 0, 64, 0, 8, 0, -34, 0, -30, 0, -26, 0, 14, 0, 6, 0, 0, 0, -2, 0, 100, 0, -16, 0, -32, 0, 12, 0, -16, 0, -60, 0, -8, 0, 54, 0, 2, 0, -52, 0, 50, 0, 0, 0, 2, 0, 2, 0, -14, 0, 24, 0, -36, 0, 16, 0, -56, 0, 20, 0, 0, 0, -10, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 54, 0, 0, 0, 40, 0, 68, 0, -32, 0, 22, 0, 54, 0, 2, 0, -4, 0, -14, 0, 0, 0, -80, 0, 32, 0, -18, 0, 54, 0, 40, 0, 0, 0, -60, 0, -40, 0, 8, 0, 22, 0, 60, 0, -4, 0, 0, 0, 10, 0, 10, 0, 38, 0, -66, 0, 40, 0, -20, 0, 20, 0, -6, 0, 0, 0, -30, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, -18, 0, 0, 0, 38, 0, 12, 0, 22, 0, -80, 0, -10, 0, -70, 0, -80, 0, -30, 0, 0, 0, -18, 0, -16, 0, 4, 0, 24, 0, -16, 0, 0, 0, -20, 0, -28, 0, -70, 0, 34, 0, 2, 0, 20, 0, 0, 0, -20, 0, 12, 0, -6, 0, 40, 0, 10, 0, -30, 0, 24, 0, -8, 0, 0, 0, 38, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -40, 0, 0, 0, 30, 0, -76, 0, -16, 0, 16, 0, -80, 0, 0, 0, 10, 0, 36, 0, 0, 0, -14, 0, -36, 0, -8, 0, 12, 0, -60, 0, -100, 0, -4, 0, 60, 0, -4, 0, 18, 0, -12, 0, -38, 0, 0, 0, -24, 0, 20, 0, -8, 0, 34, 0, -18, 0, 6, 0, 8, 0, -42, 0, 0, 0, -50, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 14, 0, 0, 0, -16, 0, 20, 0, -30, 0, 38, 0, 14, 0, 16, 0, -26, 0, 48, 0, 0, 0, -48, 0, -16, 0, 2, 0, 18, 0, -4, 0, 12, 0, 12, 0, 72, 0, 10, 0, 46, 0, -36, 0, 6, 0, 0, 0, 102, 0, 8, 0, -20, 0, 60, 0, -4, 0, 14, 0, 40, 0, 2, 0, 0, 0, 72, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, -10, 0, 0, 0, -50, 0, -48, 0, 60, 0, 34, 0, 18, 0, 18, 0, -16, 0, 2, 0, 0, 0, -40, 0, -60, 0, -10, 0, -72, 0, 60, 0, -52, 0, 54, 0, -8, 0, 42, 0, -54, 0, -100, 0, -18, 0, 0, 0, -32, 0, -26, 0, -12, 0, 6, 0, -14, 0, -32, 0, 20, 0, 4, 0, 0, 0, 42, 0, 72, 0, 0, 0, 0, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "fricke_eigenval": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-1, -2], [0, 0], [1, 1], [0, 0], [1, 0], [0, 0], [3, -3], [0, 0], [0, 4], [0, 0], [-1, -2], [0, 0], [-5, -5], [0, 0], [5, -5], [0, 0], [1, 1], [0, 0], [1, -1], [0, 0], [-3, 4], [0, 0], [1, 0], [0, 0], [5, 5], [0, 0], [0, 2], [0, 0], [3, -3], [0, 0], [1, -3], [0, 0], [0, -8], [0, 0], [0, 4], [0, 0], [0, -8], [0, 0], [0, 2], [0, 0], [-1, -2], [0, 0], [5, -5], [0, 0], [0, -5], [0, 0], [-5, -5], [0, 0], [-6, 0], [0, 0], [-9, -3], [0, 0], [5, -5], [0, 0], [5, 5], [0, 0], [-1, 1], [0, 0], [1, 1], [0, 0], [8, -4], [0, 0], [0, 2], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [5, 5], [0, 0], [-3, 4], [0, 0], [6, 0], [0, 0], [-8, 0], [0, 0], [1, 0], [0, 0], [12, 0], [0, 0], [-5, 15], [0, 0], [5, 5], [0, 0], [-2, 0], [0, 0], [-4, 4], [0, 0], [0, 2], [0, 0], [-15, -5], [0, 0], [1, 1], [0, 0], [3, -3], [0, 0]]}