# Stored data for newform 8001.2.a.u, downloaded from the LMFDB on 28 March 2024. {"label": "8001.2.a.u", "space_label": "8001.2.a", "level": 8001, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580972353, "dim": 18, "is_polredabs": true, "trace_hash": 2074320236264605153, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [16, -380, -1610, 1453, 8199, -3858, -15795, 7948, 13376, -7882, -5421, 3872, 988, -982, -35, 123, -11, -6, 1]], [5, [49792, 50368, -404800, -101616, 916400, 47252, -885958, 65194, 430376, -74426, -108856, 28135, 13644, -4832, -651, 374, -9, -10, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(1-\\beta _{12})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32004, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 63.88830665722644, "hecke_ring_index": 10, "level_radical": 2667, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [8001, 1, [3557, 1144, 7750], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 127], "conrey_indexes": [1], "field_disc": 283898636347277934143603192764954000, "field_disc_factorization": [[2, 4], [5, 3], [17, 1], [37, 1], [521, 1], [3967, 1], [109189968725188151409359, 1]], "field_poly": [16, -380, -1610, 1453, 8199, -3858, -15795, 7948, 13376, -7882, -5421, 3872, 988, -982, -35, 123, -11, -6, 1], "hecke_ring_index_factorization": [[2, 1], [5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.552", "prec": 20}, {"__RealLiteral__": 0, 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