# Stored data for newform 1014.2.a.i, downloaded from the LMFDB on 23 April 2024.
{"label": "1014.2.a.i", "space_label": "1014.2.a", "level": 1014, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519414, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1958592097485491704, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [1, 4, 1]], [7, [-2, -2, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+(-2+\\beta )q^{5}-q^{6}+\\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": 12, "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": "0.017", "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": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.703", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.580", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [13, -1]], "trace_display": [-2, 2, -4, 2], "traces": [0, 2, -2, 2, 2, -4, -2, 2, -2, 2, 4, -6, 2, 0, -2, -4, 2, -8, -2, -6, -4, 2, 6, -2, -2, 4, 0, 2, 2, -2, 4, 4, -2, -6, 8, -10, 2, -14, 6, 0, 4, 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