# Stored data for newform 8001.2.a.s, downloaded from the LMFDB on 25 April 2024.
{"label": "8001.2.a.s", "space_label": "8001.2.a", "level": 8001, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326231361, "dim": 16, "is_polredabs": true, "trace_hash": 1685192323405995066, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-20, 200, 1614, 1882, -3163, -5385, 2075, 5422, -298, -2648, -235, 668, 112, -83, -18, 4, 1]], [5, [46352, 247912, 396800, 42868, -397916, -224398, 131760, 120392, -14196, -28542, -1293, 3467, 435, -210, -36, 5, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{7}q^{5}-q^{7}+\\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": 4, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [8001, 1, [3557, 1144, 7750], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [3, 7, 127], "conrey_indexes": [1], "field_disc": 50457760415714648531994640080640, "field_disc_factorization": [[2, 8], [5, 1], [13, 1], [15093703, 1], [1654759339, 1], [121407078203, 1]], "field_poly": [-20, -200, 1614, -1882, -3163, 5385, 2075, -5422, -298, 2648, -235, -668, 112, 83, -18, -4, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.180", "prec": 17}, {"__RealLiteral__": 0, "data": "12.702", "prec": 20}, {"__RealLiteral__": 0, "data": "4.353", "prec": 17}, {"__RealLiteral__": 0, "data": "463.526", "prec": 24}, {"__RealLiteral__": 0, "data": "376.851", "prec": 24}, {"__RealLiteral__": 0, "data": 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