# Stored data for newform 8450.2.a.z, downloaded from the LMFDB on 05 September 2025.
{"Nk2": 33800, "analytic_conductor": 67.47358970798193, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, 1], [13, 1]], "atkin_lehner_string": "+++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8450, 1, [677, 3551], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 12, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-2, 2, 1]], [7, [-11, 2, 1]], [11, [-3, 0, 1]], [17, [6, 6, 1]], [31, [22, 10, 1]]], "hecke_orbit": 26, "hecke_orbit_code": 112589990717825282, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8450.2.a.z", "level": 8450, "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, 5, 13], "level_radical": 130, "minimal_twist": "130.2.e.d", "nf_label": "2.2.12.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+(-1+\\beta )q^{3}+q^{4}+(1-\\beta )q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8450.2.a", "trace_display": [-2, -2, 0, -2], "trace_hash": 1033057186947587431, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.919", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.278", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.213", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.034", "prec": 17}, "traces": [0, 2, -2, -2, 2, 0, 2, -2, -2, 2, 0, 0, -2, 0, 2, 0, 2, -6, -2, -4, 0, 14, 0, 0, 2, 0, 0, -8, -2, 12, 0, -10, -2, 6, 6, 0, 2, -8, 4, 0, 0, 0, -14, -4, 0, 0, 0, -6, -2, 12, 0, 12, 0, 0, 8, 0, 2, 22, -12, -12, 0, 10, 10, -26, 2, 0, -6, 4, -6, -12, 0, -24, -2, -2, 8, 0, -4, 12, 0, 10, 0, 2, 0, 6, 14, 0, 4, 0, 0, 18, 0, 0, 0, 16, 6, 0, 2, -14, -12, -12, 0, 18, -12, 26, 0, 0, 0, -30, -8, -4, 0, -10, -2, 0, -22, 0, 12, 0, 12, 18, 0, -16, -10, -24, -10, 0, 26, -10, -2, -20, 0, 12, 6, 40, -4, 0, 6, 6, 12, -8, 0, -6, 24, 0, 2, 0, 2, -36, -8, 0, 0, 14, 4, -18, -12, 0, 0, -4, -10, 6, 0, -24, -2, 22, 0, 0, -6, 30, -14, 0, 0, -40, -4, 12, 0, 0, 0, 24, -18, 12, 0, 10, 0, -4, 0, 0, -16, 6, -6, 8, 0, 6, -2, 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