# Stored data for newform 1521.4.a.bb, downloaded from the LMFDB on 25 April 2024.
{"label": "1521.4.a.bb", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 28, "hecke_orbit_code": 121597190006113777, "dim": 4, "is_polredabs": true, "trace_hash": 1160888605336673291, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [78, 24, -25, -2, 1]], [5, [6084, -156, -203, 6, 1]], [7, [206212, 12652, -1123, -14, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(5+\\beta _{1}+\\beta _{2})q^{4}+(-1-\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24336, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 89.74190511873148, "hecke_ring_index": 4, "level_radical": 39, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 11255232, "field_disc_factorization": [[2, 6], [3, 1], [31, 2], [61, 1]], "field_poly": [78, 24, -25, -2, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.759", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39.522", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "630.963", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [13, 1]], "trace_display": [2, 0, -6, 14], "traces": [0, 4, 2, 0, 22, -6, 0, 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