# Stored data for newform 3800.2.a.bc, downloaded from the LMFDB on 18 April 2024. {"label": "3800.2.a.bc", "space_label": "3800.2.a", "level": 3800, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599932120, "dim": 6, "is_polredabs": true, "trace_hash": 35569433097744782, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, -14, 15, 16, -10, -2, 1]], [7, [-383, -154, 223, 48, -30, -2, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(\\beta _{1}+\\beta _{4})q^{7}+(1+\\beta _{1}+\\beta _{2}+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15200, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 30.343152768086547, "hecke_ring_index": 1, "level_radical": 190, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [3800, 1, [951, 1901, 1977, 401], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 1145261617, "field_disc_factorization": [[1145261617, 1]], "field_poly": [-3, -14, 15, 16, -10, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.102", "prec": 17}, {"__RealLiteral__": 0, "data": "5.695", "prec": 17}, {"__RealLiteral__": 0, "data": "0.697", "prec": 17}, {"__RealLiteral__": 0, "data": "91.498", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2238.930", "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], [5, 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