# Stored data for newform 200.6.a.j, downloaded from the LMFDB on 29 March 2024. {"label": "200.6.a.j", "space_label": "200.6.a", "level": 200, "weight": 6, "hecke_orbit": 10, "hecke_orbit_code": 40532396746997960, "dim": 4, "is_polredabs": true, "nf_label": "4.4.1595208.1", "trace_hash": 1794053291786748812, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [18000, 432, -728, 4, 1]]], "qexp_display": "q+(-1-\\beta _{1})q^{3}+(-37-\\beta _{1}+\\beta _{3})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7200, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 32.076763962596125, "hecke_ring_index": 6400, "level_radical": 10, "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": [200, 1, [151, 101, 177], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1595208, "field_disc_factorization": [[2, 3], [3, 1], [66467, 1]], "field_poly": [-3, 33, -20, -1, 1], "hecke_ring_index_factorization": [[2, 8], [5, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.809", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39.154", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "643.711", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1]], "trace_display": [0, -4, 0, -148], "traces": [0, 4, 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