# Stored data for newform 6027.2.a.z, downloaded from the LMFDB on 23 April 2024.
{"label": "6027.2.a.z", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717822859, "dim": 8, "is_polredabs": true, "trace_hash": 1167728462229929624, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -10, -10, 24, 18, -14, -8, 2, 1]], [5, [97, 122, -168, -102, 86, 26, -16, -2, 1]], [13, [521, 558, -1330, -556, 330, 92, -30, -4, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-\\beta _{5}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": "0.008", "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": 155881289984, "field_disc_factorization": [[2, 8], [7, 2], [29, 1], [428509, 1]], "field_poly": [-1, 10, -10, -24, 18, 14, -8, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.293", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "159.890", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6022.292", "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]], 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