# Stored data for newform 8001.2.a.t, downloaded from the LMFDB on 18 April 2024.
{"label": "8001.2.a.t", "space_label": "8001.2.a", "level": 8001, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953601857, "dim": 16, "is_polredabs": true, "trace_hash": 1136558445824141450, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1, -83, -280, 474, 1279, -1150, -1655, 1177, 957, -593, -275, 155, 38, -20, -2, 1]], [5, [16, -184, 92, 3406, -4663, -13233, 18066, 12824, -21504, 223, 7523, -2135, -532, 273, -7, -9, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(1-\\beta _{11})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": 1, "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": "0.004", "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": 121285089675762329140300815257, "field_disc_factorization": [[19, 1], [47, 2], [3659, 1], [187111, 1], [4220815488235183, 1]], "field_poly": [1, 1, -83, -280, 474, 1279, -1150, -1655, 1177, 957, -593, -275, 155, 38, -20, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.133", "prec": 17}, {"__RealLiteral__": 0, "data": "13.447", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "572.300", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "41952.265", "prec": 30}], "related_objects": [], 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