# Stored data for newform 6027.2.a.bm, downloaded from the LMFDB on 19 April 2024.
{"label": "6027.2.a.bm", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873639307, "dim": 16, "is_polredabs": true, "trace_hash": 1504993370003411762, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-49, -112, 500, 960, -1276, -2424, 1218, 2708, -400, -1532, -54, 456, 64, -68, -14, 4, 1]], [5, [7, -120, -756, 404, 6906, 7724, -6132, -12676, -1464, 6192, 2800, -732, -730, -100, 36, 12, 1]], [13, [6489, -415572, 1297286, -699296, -1691066, 2155768, -208090, -706696, 212080, 87176, -36046, -4612, 2588, 88, -84, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+(-1+\\beta _{5}+\\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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [6027, 1, [4019, 493, 2794], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 65017920167116804797344251904, "field_disc_factorization": [[2, 32], [15138164201545716449, 1]], "field_poly": [-49, 112, 500, -960, -1276, 2424, 1218, -2708, -400, 1532, -54, -456, 64, 68, -14, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.306", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "492.092", "prec": 24}, 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