# Stored data for newform 6027.2.a.q, downloaded from the LMFDB on 19 April 2024. {"label": "6027.2.a.q", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071488395, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1620.1", "trace_hash": 1510436083066537285, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [5, [-14, -12, 0, 1]], [13, [35, -15, -3, 1]]], "qexp_display": "q+q^{3}-2q^{4}+\\beta _{1}q^{5}+q^{9}+(-\\beta _{1}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24108, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 48.12583729822569, "hecke_ring_index": 1, "level_radical": 861, "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": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [6027, 1, [4019, 493, 2794], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 1620, "field_disc_factorization": [[2, 2], [3, 4], [5, 1]], "field_poly": [-14, -12, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "2.919", "prec": 17}, {"__RealLiteral__": 0, "data": "0.122", "prec": 17}, {"__RealLiteral__": 0, "data": "21.823", "prec": 20}, {"__RealLiteral__": 0, "data": "1.283", "prec": 17}, {"__RealLiteral__": 0, "data": "238.303", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [41, -1]], 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