# Stored data for newform 1521.4.a.bi, downloaded from the LMFDB on 25 April 2024.
{"label": "1521.4.a.bi", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 35, "hecke_orbit_code": 153122387397707249, "dim": 9, "is_polredabs": true, "trace_hash": 1139695281874248406, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1016, -2288, 11386, -1401, -3075, 452, 251, -40, -6, 1]], [5, [48900601, -29476244, -2833568, 3228609, -239411, -66645, 8831, -8, -33, 1]], [7, [-27017466139, -3494223732, 748796618, 94405947, -4484863, -809119, -9589, 1920, 83, 1]]], "qexp_display": "q+(1+\\beta _{3})q^{2}+(5+\\beta _{3}+\\beta _{5})q^{4}+(3+\\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": 169, "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": 5, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 828737467989778249, "field_disc_factorization": [[7, 6], [1723, 1], [32537, 1], [125651, 1]], "field_poly": [27, 63, -2478, -4139, 763, 945, -27, -56, 0, 1], "hecke_ring_index_factorization": [[13, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.107", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "179.858", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6014.785", "prec": 27}], "related_objects": [], "self_twist_discs": [], 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