# Stored data for newform 8001.2.a.p, downloaded from the LMFDB on 24 April 2024.
{"label": "8001.2.a.p", "space_label": "8001.2.a", "level": 8001, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444119873, "dim": 14, "is_polredabs": true, "trace_hash": 1930806485031287592, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [44, -42, -418, 301, 1134, -875, -1067, 959, 331, -414, -12, 76, -9, -5, 1]], [5, [844, -4012, 646, 14710, -5956, -14288, 5316, 5839, -1908, -1158, 335, 110, -29, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{3}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": 5, "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": "0.000", "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": 1140762457022719193391488, "field_disc_factorization": [[2, 7], [239, 1], [37289567763556458989, 1]], "field_poly": [44, -42, -418, 301, 1134, -875, -1067, 959, 331, -414, -12, 76, -9, -5, 1], "hecke_ring_index_factorization": [[5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.114", "prec": 17}, {"__RealLiteral__": 0, "data": "10.767", "prec": 20}, {"__RealLiteral__": 0, "data": "3.168", "prec": 17}, {"__RealLiteral__": 0, "data": "350.955", "prec": 24}, {"__RealLiteral__": 0, "data": "167.918", "prec": 24}, {"__RealLiteral__": 0, "data": "18185.865", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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