# Stored data for newform 6027.2.a.bb, downloaded from the LMFDB on 25 April 2024.
{"label": "6027.2.a.bb", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972563851, "dim": 8, "is_polredabs": true, "nf_label": "8.8.7457527933.1", "trace_hash": 2052225765815844222, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [113, 44, -148, -39, 70, 11, -14, -1, 1]], [5, [-967, -206, 1153, 589, -169, -141, -8, 7, 1]], [13, [49, -44, -10, 5, 1]]], "qexp_display": "q+(1-\\beta _{1}-\\beta _{2})q^{2}-q^{3}+(2+\\beta _{6})q^{4}+\\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": "0.007", "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": 7457527933, "field_disc_factorization": [[37, 1], [14197, 2]], "field_poly": [1, 8, 8, -27, -4, 23, -6, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.221", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "147.882", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4932.270", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1], [41, 1]], "trace_display": 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