# Stored data for newform 6027.2.a.bh, downloaded from the LMFDB on 25 April 2024.
{"label": "6027.2.a.bh", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 34, "hecke_orbit_code": 148618787736786827, "dim": 13, "is_polredabs": true, "trace_hash": 2160157184361306952, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4, -12, -69, 84, 311, -174, -478, 50, 263, 26, -56, -11, 4, 1]], [5, [-438, 82, 5001, 1717, -9154, -2511, 5759, 980, -1489, -85, 177, -8, -8, 1]], [13, [-2025, 31617, -70137, -384480, -412788, -78601, 86349, 26659, -9174, -2063, 615, 29, -16, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(1-\\beta _{8}+\\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": "0.003", "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": 26551546727262511553064, "field_disc_factorization": [[2, 3], [3, 4], [1663, 1], [201547, 1], [284041, 1], [430393, 1]], "field_poly": [-4, -12, 69, 84, -311, -174, 478, 50, -263, 26, 56, -11, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.079", "prec": 17}, {"__RealLiteral__": 0, "data": "11.879", "prec": 20}, {"__RealLiteral__": 0, "data": "6.468", "prec": 17}, {"__RealLiteral__": 0, "data": "416.886", "prec": 24}, {"__RealLiteral__": 0, "data": "543.716", "prec": 24}, {"__RealLiteral__": 0, "data": "23239.855", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 13, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1], [41, 1]], "trace_display": [-4, -13, 8, 0], "traces": [0, 13, -4, -13, 12, 8, 4, 0, -12, 13, 1, -10, -12, 16, 0, -8, 26, 12, -4, 11, 6, 0, 1, -15, 12, 15, 18, -13, 0, -8, -1, 9, -23, 10, -7, 0, 12, -2, 20, -16, 49, -13, 0, -7, -22, 8, -4, 26, -26, 0, -15, -12, 24, 4, 4, 1, 0, -11, 39, -3, -6, 28, 7, 0, 2, -20, -1, 7, 55, 15, 0, -40, -12, -2, 1, -15, -26, 0, -18, 13, 22, 13, 4, 14, 0, 48, -49, 8, 20, 35, 1, 0, -105, -9, -2, 7, 23, 64, 0, -10, 83, 27, 7, 36, -70, 0, -50, -22, -12, 9, 20, 2, 0, -32, -20, -5, 47, 16, -47, 0, -49, 13, 95, 13, 87, 93, 0, 16, -57, 7, 48, 10, 22, 0, -75, -8, 6, -9, 4, -15, 0, -26, 59, 22, 26, 85, -36, 0, -33, -2, 15, 9, 31, 12, 0, 2, -24, 31, 48, -4, -12, 0, -4, 26, -12, -1, 22, -5, 0, 29, 21, 11, 24, 63, -39, 0, -59, 3, 12, -37, 6, 49, 0, -28, 48, 93, -7, 29, 48, 0, -143, -41, -2, 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