# Stored data for newform 6027.2.a.s, downloaded from the LMFDB on 19 April 2024.
{"label": "6027.2.a.s", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326229387, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 938083784453080276, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [2, -4, -1, 1]], [5, [-4, -2, 4, 1]], [13, [-4, 14, 8, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(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": 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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [6027, 1, [4019, 493, 2794], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.916", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.023", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "242.359", "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]], "trace_display": [1, 3, -4, 0], "traces": [0, 3, 1, 3, 3, -4, 1, 0, 3, 3, -6, -4, 3, -8, 0, 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