# Stored data for newform 8016.2.a.ba, downloaded from the LMFDB on 19 April 2024.
{"label": "8016.2.a.ba", "space_label": "8016.2.a", "level": 8016, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345195344, "dim": 9, "is_polredabs": true, "trace_hash": 1654103800477647746, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [38, -80, -132, 179, 200, -41, -67, -4, 6, 1]], [7, [-80, 1064, -2148, 1265, 242, -446, 88, 27, -11, 1]], [11, [400, 780, -600, -1612, -71, 595, -18, -47, 1, 1]], [13, [-5360, 11568, -4048, -4140, 1539, 612, -152, -43, 4, 1]]], "qexp_display": "q-q^{3}+(-1+\\beta _{1})q^{5}+(2-\\beta _{5}-\\beta _{7}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32064, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 64.00808226025836, "hecke_ring_index": 1, "level_radical": 1002, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [8016, 1, [3007, 2005, 5345, 673], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 167], "conrey_indexes": [1], "field_disc": 52698586401140, "field_disc_factorization": [[2, 2], [5, 1], [491, 1], [5366454827, 1]], "field_poly": [-10, 51, 152, -83, -166, 67, 45, -16, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.353", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "160.747", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5611.723", "prec": 27}], "related_objects": [], "self_twist_discs": [], 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