# Stored data for newform 603.2.h.b, downloaded from the LMFDB on 25 May 2024.
{"Nk2": 2412, "analytic_conductor": 4.814979241883207, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 603, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 8, "char_orbit_label": "h", "char_order": 3, "char_parity": 1, "char_values": [603, 3, [470, 136], [1, 2]], "cm_discs": [], "conrey_index": 364, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 1]], [5, [1, -1, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504080697262683, "hecke_ring_generator_nbound": 5, "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, 603, 8, 1, 3, 0]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "603.2.h.b", "level": 603, "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": [3, 67], "level_radical": 201, "minimal_twist": "603.2.f.b", "nf_label": "2.0.3.1", "prim_orbit_index": 8, "qexp_display": "q-q^{2}+(1-2\\zeta_{6})q^{3}-q^{4}+(1-\\zeta_{6})q^{5}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "603.2.h", "trace_display": [-2, 0, 1, -1], "trace_hash": 1199493981226657890, "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "2.106", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.415", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "127.860", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "traces": [0, 2, -2, 0, -2, 1, 0, -1, 6, -6, -1, -5, 0, 1, 1, -3, -2, -3, 6, -1, -1, 3, 5, -3, 0, 4, -1, 0, 1, 5, 3, 16, -10, 15, 3, 1, 6, -11, 1, 3, 3, -12, -3, 5, 5, -3, 3, 7, 0, 6, -4, 9, -1, 20, 0, 5, -3, 3, -5, -9, 3, 20, -16, 3, 14, 2, -15, -16, 3, -9, -1, -3, -18, -11, 11, 12, 1, -5, -3, -1, -1, 18, 12, -16, -3, 3, -5, -15, -15, -4, 3, -2, 3, 0, -7, 1, 0, 12, -6, 15, -4, -11, -9, -8, 3, 3, -20, -8, 0, 4, -5, 33, 1, -36, -3, -6, -5, -3, 9, -3, -9, -14, -20, 0, -16, 18, -3, 5, 6, 15, -2, -9, -15, -1, 16, 9, -9, 9, 9, -1, -1, -21, 3, -10, 6, -5, 11, 18, 11, 9, -12, 0, -3, 9, 5, 8, -3, -3, 1, 0, -5, 6, -18, -19, 12, 15, 16, -48, 9, 12, -3, 3, -5, 28, 15, -8, 5, 27, 4, -24, 3, -7, 2, 0, -9, 11, 0, -15, -7, -9, -1, -48, 0, 5, -12, 0, -6, 5, -15, -25, 12, -6, 11, 5, -9, -6, 8, 9, -1, -5, -3, 21, -20, -9, 8, 10, 0, -8, -4, 33, -5, -6, -33, 1, 5, -12, 36, 27, -3, 5, 6, -15, 15, 17, 3, -7, 9, 3, 3, 32, 3, 25, 14, 0, -20, 12, 0, -2, 48, 0, -18, -25, -3, 30, -5, 9, -34, 28, -15, -11, -2, -15, 9, 5, 45, 10, 1, 0, 16, 28, -9, -56, 3, 0, -9, -40, 9, 17, 1, -48, 3, 12, 21, 3, 3, 3, 10, 6, 30, 8, 5, 0, 11, 21, -18, 9, -33, -45, -9, 3, -12, -10, 0, 33, 1, 10, -9, -5, 5, 0, -8, -9, 9, -11, 3, -3, 1, 36, 0, 25, 7, 0, -6, -3, -18, -4, 19, 0, -36, 7, -15, 27, 16, 33, 48, -11, -3, -7, -12, 0, -3, -40, -3, -26, 15, 0, -28, 48, 15, -15, 8, -9, 25, -36, -27, -6, 4, -9, 24, 32, -9, 18, 7, -42, 2, 11, 0, -25, 3, 36, -11, -10, 0, -12, 15, 0, 21, 10, 9, 15, -1, 15, 48, -23, 0, -10, -5, -15, -12, -44, 0, 18, 18, 27, -5, 1, -15, -44, 25, -3, -4, 17, 6, 8, 11, 9, -5, -55, 27, 28, 6, 27, 8, -9, -9, -8, -5, 3, 5, -3, -3, -12, -21, -21, 60, -24, 9, -10, 8, 0, -10, 9, 0, -15, 8, -15, -4, 6, -33, 40, 15, -18, 6, 19, -33, -2, -1, -27, -7, -15, 12, 30, 36, 0, -27, -1, 9, 25, -5, -27, 6, 5, 15, -31, -5, -24, -17, 3, 3, 11, 7, -9, -27, -50, -3, -8, 3, -60, -32, 8, 15, -22, -25, 0, 14, 6, 0, 43, 60, -57, -12, 39, 0, 15, 2, -15, -16, 6, 0, 33, -18, 0, 25, -7, 9, 11, -30, -36, -5, 21, -9, -11, 22, -9, -28, -4, -15, 35, 11, 0, 6, 44, 15, 31, 9, 0, -5, -24, -15, 14, -10, 27, 1, -6, 0, -4, -48, 0, -28, -60, -9, 4, 56, -21, 15, 2, 0, 7, -9, -60, 40, 5, -27, -1, -17, 33, 1, 29, 48, -5, -1, -45, -12, 3, 21, -18, -3, -9, -9, -27, -3, 8, 10, 0, -6, 12, -42, -27, -8, -15, 5, 8, 0, -50, -33, -6, -21, -24, -18, -8, -9, 15, 11, 21, 45, -6, -9, 75, -3, -16, 36, -76, 10, 48, 0, -28, -33, 16, 5, 15, -10, 14, -9, 9, 5, 18, -15, -23, 0, 40, -8, 27, 9, 2, -3, -11, 11, -15, 3, -33, 3, -1, -3, 63, -36, 10, 0, -6, -25, 9, 3, -35, 0, 27, -6, 0, 3, -9, 54, -45, 4, 24, 19, -3, 0, 9, 12, 33, -7, 15, -15, 21, -27, 0, -48, -2, -33, -30, 48, 3, 11, -50, -15, -31, 7, -36, -12, -27, 0, -6, 9, -81, 40, 15, -3, 18, 26, 15, -5, 10, 0, -45, -28, 15, -48, 1, -45, 18, 15, 51, 8, 25, 9, -11, -35, -21, 36, -11, -27, 100, 6, 3, -12, -24, 9, -5, 24, 0, -32, 23, 3, 4, -18, 75, 7, 40, 42, -64, -6, -54, -11, -30, 0, 60, 25, 0, 15, 55, -36, -25, -11, 0, 10, 21, 0, -9, 12, 48, 15, 4, 0, 7, -7, 75, -10, 0, 9, 29, -15, 0, 3, -11, -15, -2, 48, -9, 23, -18, 0, -60, 10, 0, -5, 21, 15, 32, 36, -33, 44, 6, 0, 30, -18, 45, -6, -6, -27, 5, -5, 15, -1, 18, 45, 10, 44, -30, 25, 84, 3, 21, -20, 12, -17, -55, 6, 3, -8, 0, -33, -36, -9, 37, -5, 0, 55, -38, -9, -10, -28, 6, 6, 4, -27, -3, -24, 0, 9, 3, -9, 52, 8, 51, 7, -36, -3, -24, 5, 0, 3, 23, 9, 4, 12, 0, -21, -12, 21, 28, -20, -9, 24, 66, 9, -92, 10, -3, -24, 57, 0, 8, -10, -18, -9, -112, 0, 14, 15, 24, 8, -5, 15, -5, 12, -36, -6, -9, -33, -47, -40, -63, -5, -15, 18, 41, 6, 27, -19, 13, 99, -10, 2, -45, -1, 7, 27, -12, -3, -9, 15, 40, 12, -30, -30, 0, -108, -14, 0, 31, -27, 33, 1, 33, -3, 40, -25, -30, -5, -9, 27, -45, -18, 15, -5, 3, 15, -88, 31, 24, -25, 1, 24, -12, -17, 27, -3, -30, -9, 108, -11, -33, 7, 1, 9, 18, 9, -9, 50, -39, -3, -22, 8, 0, -9, -68, 60, -24, -32, 75, -8, -18, -21, 66, 22, 24, -25, -5, 0, 96, -42, -9, -6, 9, 0, -1, -43, 12, -20, 13, 57, 10, -12, -12, -39, -43, 0, 10, -15, 21, 2, 15, 15, 16, -80, -81, -6, 25, 0, -3, -33, -99, 54], "weight": 2, "weight_parity": 1, "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], [-1, 0], [1, -2], [-1, 0], [1, -1], [-1, 2], [-1, 1], [3, 0], [-3, 0], [-1, 1], [-5, 5], [-1, 2], [0, 1], [1, -1], [-1, -1], [-1, 0], [-3, 3], [3, 0], [-1, 1], [-1, 1], [1, 1], [5, -5], [0, -3], [3, -6], [0, 4], [0, -1], [-3, 6], [1, -1], [5, -5], [1, 1], [8, 0], [-5, 0], [5, 5], [3, -3], [0, 1], [3, 0], [-11, 11], [1, -1], [2, -1], [3, -3], [-6, 0], [-1, -1], [0, 5], [5, -5], [-3, 3], [0, 3], [7, -7], [-1, 2], [0, 6], [0, -4], [3, 3], [0, -1], [10, 0], [3, -6], [0, 5], [-3, 3], [1, 1], [-5, 5], [-9, 9], [1, 1], [10, 0], [-8, 0], [3, -3], [7, 0], [1, 0], [-5, -5], [-7, -2], [3, -3], [-6, 3], [0, -1], [0, -3], [-9, 0], [-11, 11], [11, -11], [8, -4], [1, -1], [0, -5], [-2, 1], [-1, 1], [-1, 1], [9, 0], [6, 0], [-8, 0], [-1, -1], [0, 3], [0, -5], [-5, -5], [-15, 15], [-2, 0], [3, -3], [-1, 0], [0, 3], [8, -16], [-7, 7], [0, 1], [-5, 10], [6, 0], [0, -6], [15, -15], [0, -4]]}