# Stored data for newform 6027.2.a.bg, downloaded from the LMFDB on 23 April 2024.
{"label": "6027.2.a.bg", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109416331, "dim": 12, "is_polredabs": true, "trace_hash": 1527568812103289937, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [18, -53, -64, 211, 126, -278, -140, 149, 74, -30, -15, 2, 1]], [5, [-186, 2921, -13451, 14944, 649, -9393, 4208, 699, -885, 145, 32, -12, 1]], [13, [-18481, 25056, 239615, -17625, -154267, 24086, 29415, -6310, -1938, 543, 24, -15, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+(1+\\beta _{4}+\\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": "0.004", "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": 441780148307755245141, "field_disc_factorization": [[3, 2], [23, 1], [31, 1], [68845277903655173, 1]], "field_poly": [18, 53, -64, -211, 126, 278, -140, -149, 74, 30, -15, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "10.290", "prec": 20}, {"__RealLiteral__": 0, "data": "1.944", "prec": 17}, {"__RealLiteral__": 0, "data": "315.802", "prec": 24}, {"__RealLiteral__": 0, "data": "62.645", "prec": 20}, {"__RealLiteral__": 0, "data": "15464.998", "prec": 30}], "related_objects": [], 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