# Stored data for newform 4018.2.a.bs, downloaded from the LMFDB on 23 April 2024.
{"label": "4018.2.a.bs", "space_label": "4018.2.a", "level": 4018, "weight": 2, "hecke_orbit": 45, "hecke_orbit_code": 198158383637860274, "dim": 10, "is_polredabs": true, "trace_hash": 1126342817934763677, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [36, -120, -148, 444, -2, -264, 41, 56, -12, -4, 1]], [5, [2, -16, -76, 380, -160, -340, 101, 76, -20, -4, 1]], [11, [-2104, 6960, 26288, 9456, -8350, -2468, 1010, 184, -54, -4, 1]]], "qexp_display": "q-q^{2}-\\beta _{3}q^{3}+q^{4}+\\beta _{2}q^{5}+\\beta _{3}q^{6}+\\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": 2, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [4018, 1, [493, 785], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 7, 41], "conrey_indexes": [1], "field_disc": 1015723179114496, "field_disc_factorization": [[2, 19], [257, 1], [7538281, 1]], "field_poly": [14, -24, -104, 260, -69, -174, 75, 36, -17, -2, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.166", "prec": 17}, {"__RealLiteral__": 0, "data": "8.928", "prec": 17}, {"__RealLiteral__": 0, "data": "5.848", "prec": 17}, {"__RealLiteral__": 0, "data": "225.817", "prec": 24}, {"__RealLiteral__": 0, "data": "331.080", "prec": 24}, {"__RealLiteral__": 0, "data": "9272.029", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": 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