# Stored data for newform 1815.4.a.k, downloaded from the LMFDB on 20 April 2024.
{"label": "1815.4.a.k", "space_label": "1815.4.a", "level": 1815, "weight": 4, "hecke_orbit": 11, "hecke_orbit_code": 45035996340815639, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 637670926395654618, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-12, 0, 1]], [7, [-768, 0, 1]]], "qexp_display": "q+2\\beta q^{2}+3q^{3}+4q^{4}-5q^{5}+6\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29040, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 107.08846666041921, "hecke_ring_index": 1, "level_radical": 165, "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": "0.503", "prec": 17}, "analytic_rank_proved": true, "char_values": [1815, 1, [1211, 727, 1696], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 2, "level_primes": [3, 5, 11], "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": "2.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "16.087", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "159.144", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [11, 1]], "trace_display": [0, 6, -10, 0], "traces": [0, 2, 0, 6, 8, -10, 0, 0, 0, 18, 0, 0, 24, 0, 192, -30, -160, 0, 0, 0, -40, 0, 0, -150, 0, 50, -408, 54, 0, 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