# Stored data for newform 1450.4.a.h, downloaded from the LMFDB on 19 April 2024.
{"label": "1450.4.a.h", "space_label": "1450.4.a", "level": 1450, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458703786, "dim": 3, "is_polredabs": true, "nf_label": "3.3.19816.1", "trace_hash": 754468195885071758, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-96, -41, 2, 1]], [7, [-5376, -496, 24, 1]]], "qexp_display": "q-2q^{2}+(-1+\\beta _{1})q^{3}+4q^{4}+(2-2\\beta _{1}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 23200, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 85.55276950832389, "hecke_ring_index": 1, "level_radical": 290, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1450, 1, [1277, 901], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 29], "conrey_indexes": [1], "field_disc": 19816, "field_disc_factorization": [[2, 3], [2477, 1]], "field_poly": [-54, -42, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.895", "prec": 17}, {"__RealLiteral__": 0, "data": "0.302", "prec": 17}, {"__RealLiteral__": 0, "data": "21.822", "prec": 20}, {"__RealLiteral__": 0, "data": "7.945", "prec": 17}, {"__RealLiteral__": 0, "data": "241.425", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [29, -1]], "trace_display": [-6, -2, 0, -24], "traces": [0, 3, -6, -2, 12, 0, 4, -24, -24, 5, 0, 10, -8, 4, 48, 0, 48, 66, -10, -164, 0, 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