# Stored data for newform 1856.4.a.bg, downloaded from the LMFDB on 19 April 2024.
{"label": "1856.4.a.bg", "space_label": "1856.4.a", "level": 1856, "weight": 4, "hecke_orbit": 33, "hecke_orbit_code": 144115188142966592, "dim": 9, "is_polredabs": true, "trace_hash": 168560778748468254, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [396802, 439999, 30654, -85158, -10822, 5872, 394, -138, -4, 1]], [5, [-37835002, 21340421, 7153684, -4664192, 256400, 85426, -4532, -568, 10, 1]], [7, [-1638662144, -1487601664, -333385728, 2377728, 6862272, 407984, -17936, -1296, 12, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(-1-\\beta _{1}+\\beta _{4})q^{5}+(-1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29696, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 109.50754497065458, "hecke_ring_index": 4096, "level_radical": 58, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1856, 1, [639, 581, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 891300542051560727056, "field_disc_factorization": [[2, 4], [67, 1], [831437072809291723, 1]], "field_poly": [396802, 439999, 30654, -85158, -10822, 5872, 394, -138, -4, 1], "hecke_ring_index_factorization": [[2, 12]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "188.634", "prec": 24}, {"__RealLiteral__": 0, "data": "29.398", "prec": 20}, {"__RealLiteral__": 0, "data": "7040.929", "prec": 27}], "related_objects": [], 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