# Stored data for newform 144.16.a.j, downloaded from the LMFDB on 18 April 2024.
{"label": "144.16.a.j", "space_label": "144.16.a", "level": 144, "weight": 16, "hecke_orbit": 10, "hecke_orbit_code": 40532396914770064, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 388261980017310247, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-114810, 1]]], "qexp_display": "q+114810q^{5}+3034528q^{7}-103451700q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36864, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 205.4786473438854, "hecke_ring_index": 1, "level_radical": 6, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [144, 1, [127, 37, 65], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "1.019", "prec": 17}, {"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "2.060", "prec": 17}, {"__RealLiteral__": 0, "data": "0.204", "prec": 17}, {"__RealLiteral__": 0, "data": "5.188", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "15.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1]], "trace_display": [0, 0, 114810, 3034528], "traces": [0, 1, 0, 0, 0, 114810, 0, 3034528, 0, 0, 0, -103451700, 0, -104365834, 0, 0, 0, -997689762, 0, -4934015444, 0, 0, 0, 8324920200, 0, -17336242025, 0, 0, 0, -104128242846, 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