# Stored data for newform 4030.2.a.b, downloaded from the LMFDB on 23 April 2024.
{"label": "4030.2.a.b", "space_label": "4030.2.a", "level": 4030, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660928958, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 139941253132906163, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-4, -2, 1]]], "qexp_display": "q-q^{2}+2\\beta q^{3}+q^{4}-q^{5}-2\\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": 16120, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 32.179712014576, "hecke_ring_index": 1, "level_radical": 4030, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [4030, 1, [807, 1861, 2731], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 13, 31], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.389", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.200", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [13, -1], [31, 1]], "trace_display": [-2, 2, -2, -1], "traces": [0, 2, -2, 2, 2, -2, -2, -1, -2, 6, 2, -6, 2, 2, 1, -2, 2, 7, -6, -3, -2, -16, 6, -5, -2, 2, -2, 20, -1, 17, 2, -2, -2, -16, -7, 1, 6, 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