# Stored data for newform 6006.2.a.cg, downloaded from the LMFDB on 25 April 2024.
{"label": "6006.2.a.cg", "space_label": "6006.2.a", "level": 6006, "weight": 2, "hecke_orbit": 59, "hecke_orbit_code": 261208778421049206, "dim": 7, "is_polredabs": true, "trace_hash": 1888680298542627341, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [192, -96, -224, 120, 48, -24, -2, 1]], [17, [13824, -2304, -6528, 1152, 424, -72, -6, 1]], [19, [-7680, 14592, -8576, 1120, 392, -84, -4, 1]], [23, [9216, -4608, -2304, 1248, 104, -72, -2, 1]], [31, [14272, -96, -4896, 472, 408, -44, -10, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-\\beta _{1}q^{5}+q^{6}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24024, "fricke_eigenval": -1, "atkin_lehner_string": "-----", "analytic_conductor": 47.958151453980996, "hecke_ring_index": 64, "level_radical": 6006, "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": [6006, 1, [2003, 3433, 4369, 925], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11, 13], "conrey_indexes": [1], "field_disc": 10676320848, "field_disc_factorization": [[2, 4], [3, 2], [53, 1], [379, 1], [3691, 1]], "field_poly": [-3, 18, -31, 5, 23, -8, -3, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "6.464", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "126.764", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3946.656", "prec": 27}], "related_objects": [], "self_twist_discs": [], 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