# Stored data for newform 6039.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "6039.2.a.k", "space_label": "6039.2.a", "level": 6039, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307265431, "dim": 19, "is_polredabs": true, "trace_hash": 1695672405072443523, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [43, 643, -241, -6404, -1674, 21077, 11589, -28019, -20141, 16875, 15053, -4673, -5755, 387, 1177, 78, -122, -18, 5, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{3}q^{5}-\\beta _{16}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24156, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 48.22165778065122, "hecke_ring_index": 1, "level_radical": 2013, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [6039, 1, [1343, 5491, 5248], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 11, 61], "conrey_indexes": [1], "field_disc": 1334350643213846711999508692745410679649, "field_disc_factorization": [[9467, 1], [16603, 1], [8489283249488572142560446710249, 1]], "field_poly": [-43, 643, 241, -6404, 1674, 21077, -11589, -28019, 20141, 16875, -15053, -4673, 5755, 387, -1177, 78, 122, -18, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "15.936", "prec": 20}, {"__RealLiteral__": 0, "data": "1.086", "prec": 17}, {"__RealLiteral__": 0, "data": "739.777", "prec": 24}, {"__RealLiteral__": 0, "data": "34.293", "prec": 20}, {"__RealLiteral__": 0, "data": "56143.229", "prec": 30}], "related_objects": [], "self_twist_discs": [], 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