# Stored data for newform 1014.2.a.m, downloaded from the LMFDB on 20 April 2024.
{"label": "1014.2.a.m", "space_label": "1014.2.a", "level": 1014, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562001398, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1555314669962215741, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-1, -4, -3, 1]], [7, [1, -4, 3, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+(1+\\beta _{1}+\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4056, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 8.096830764957831, "hecke_ring_index": 1, "level_radical": 78, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "field_poly_is_real_cyclotomic": true, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [1014, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 13], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "2.951", "prec": 17}, {"__RealLiteral__": 0, "data": "1.011", "prec": 17}, {"__RealLiteral__": 0, "data": "22.942", "prec": 20}, {"__RealLiteral__": 0, "data": "15.513", "prec": 20}, {"__RealLiteral__": 0, "data": "263.093", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [13, 1]], "trace_display": [-3, 3, 3, -3], "traces": [0, 3, -3, 3, 3, 3, -3, -3, -3, 3, -3, -1, 3, 0, 3, 3, 3, 12, -3, -4, 3, -3, 1, 16, -3, 2, 0, 3, -3, 13, -3, 9, -3, -1, -12, 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