# Stored data for newform 8004.2.a.j, downloaded from the LMFDB on 16 April 2024.
{"label": "8004.2.a.j", "space_label": "8004.2.a", "level": 8004, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679896900, "dim": 16, "is_polredabs": true, "trace_hash": 1258209094874128080, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [3888, -8424, -67608, -17988, 151028, 65278, -122604, -47547, 46229, 14400, -8965, -2028, 932, 130, -49, -3, 1]], [7, [-7776, 49248, 4752, -349536, 19952, 664560, 2976, -365696, 34702, 78570, -12919, -7172, 1462, 283, -65, -4, 1]]], "qexp_display": "q+q^{3}+\\beta _{1}q^{5}-\\beta _{7}q^{7}+q^{9}-\\beta _{6}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32016, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 63.91226177783282, "hecke_ring_index": 2, "level_radical": 4002, "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": [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 3, 23, 29], "conrey_indexes": [1], "field_disc": 9522859213623807261296502099376831488, "field_disc_factorization": [[2, 10], [3, 3], [7, 1], [23, 1], [105829, 1], [20214968759711614235801449, 1]], "field_poly": [3888, -8424, -67608, -17988, 151028, 65278, -122604, -47547, 46229, 14400, -8965, -2028, 932, 130, -49, -3, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.260", "prec": 17}, {"__RealLiteral__": 0, "data": "12.913", "prec": 20}, {"__RealLiteral__": 0, "data": "8.881", "prec": 17}, {"__RealLiteral__": 0, "data": "506.426", "prec": 24}, {"__RealLiteral__": 0, 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