# Stored data for newform 1150.4.a.p, downloaded from the LMFDB on 19 April 2024.
{"label": "1150.4.a.p", "space_label": "1150.4.a", "level": 1150, "weight": 4, "hecke_orbit": 16, "hecke_orbit_code": 67553994477667454, "dim": 4, "is_polredabs": true, "trace_hash": 1600090225614283145, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [164, 243, -62, -4, 1]], [7, [453664, -2618, -1507, -1, 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": 18400, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 67.8521965066017, "hecke_ring_index": 1, "level_radical": 230, "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": [1150, 1, [277, 51], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 3127547581, "field_disc_factorization": [[37, 2], [2284549, 1]], "field_poly": [342, -111, -68, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "3.828", "prec": 17}, {"__RealLiteral__": 0, "data": "0.218", "prec": 17}, {"__RealLiteral__": 0, "data": "40.835", "prec": 20}, {"__RealLiteral__": 0, "data": "3.316", "prec": 17}, {"__RealLiteral__": 0, "data": "676.853", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [23, -1]], "trace_display": [8, 4, 0, 1], "traces": [0, 4, 8, 4, 16, 0, 8, 1, 32, 32, 0, -39, 16, 20, 2, 0, 64, 23, 64, 53, 0, 300, 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