# Stored data for newform 1350.4.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "1350.4.a.r", "space_label": "1350.4.a", "level": 1350, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732408646, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2173285057133188910, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [14, 1]], [11, [-3, 1]], [17, [-39, 1]]], "qexp_display": "q+2q^{2}+4q^{4}-14q^{7}+8q^{8}+3q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21600, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 79.65257850774982, "hecke_ring_index": 1, "level_radical": 30, "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": [1350, 1, [1001, 1027], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.034", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.116", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.370", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1]], "trace_display": [2, 0, 0, -14], "traces": [0, 1, 2, 0, 4, 0, 0, -14, 8, 0, 0, 3, 0, -47, -28, 0, 16, 39, 0, 32, 0, 0, 6, 99, 0, 0, -94, 0, -56, 51, 0, 83, 32, 0, 78, 0, 0, -314, 64, 0, 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