# Stored data for newform 1502.2.a.g, downloaded from the LMFDB on 23 April 2024.
{"label": "1502.2.a.g", "space_label": "1502.2.a", "level": 1502, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797778910, "dim": 16, "is_polredabs": true, "trace_hash": 1525222822771170824, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [127, -584, -3286, 4781, 13672, -13114, -15801, 18242, 3408, -9650, 2373, 1392, -780, 46, 50, -13, 1]]], "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+\\beta _{8}q^{5}+(1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6008, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 11.993530383596314, "hecke_ring_index": 1, "level_radical": 1502, "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": [1502, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 751], "conrey_indexes": [1], "field_disc": 14751382259814611839522124642496, "field_disc_factorization": [[2, 6], [3, 3], [48757, 1], [2867589229, 1], [61056943928969, 1]], "field_poly": [864, -408, -5202, 132, 10822, 1919, -10540, -2787, 5490, 1595, -1620, -443, 273, 59, -25, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.283", "prec": 17}, {"__RealLiteral__": 0, "data": "12.193", "prec": 20}, {"__RealLiteral__": 0, "data": "12.393", "prec": 20}, {"__RealLiteral__": 0, "data": "416.012", "prec": 24}, {"__RealLiteral__": 0, "data": "935.223", "prec": 24}, {"__RealLiteral__": 0, "data": "22332.815", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, 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