# Stored data for newform 4018.2.a.bp, downloaded from the LMFDB on 25 April 2024.
{"label": "4018.2.a.bp", "space_label": "4018.2.a", "level": 4018, "weight": 2, "hecke_orbit": 42, "hecke_orbit_code": 184647584755748786, "dim": 6, "is_polredabs": true, "nf_label": "6.6.5163008.1", "trace_hash": 1120563868185627579, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [4, 104, 20, -44, -10, 4, 1]], [5, [-158, -248, -68, 68, 50, 12, 1]], [11, [-398, -300, 498, 8, -50, 0, 1]]], "qexp_display": "q+q^{2}+(-1-\\beta _{2}-\\beta _{3}+\\beta _{4})q^{3}+q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16072, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 32.08389153215046, "hecke_ring_index": 1, "level_radical": 574, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [4018, 1, [493, 785], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 41], "conrey_indexes": [1], "field_disc": 5163008, "field_disc_factorization": [[2, 11], [2521, 1]], "field_poly": [1, -6, 5, 8, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.611", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "85.469", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2055.628", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, 1], [41, -1]], "trace_display": [6, -4, -12, 0], "traces": [0, 6, 6, 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