# Stored data for newform 8034.2.a.ba, downloaded from the LMFDB on 16 April 2024.
{"label": "8034.2.a.ba", "space_label": "8034.2.a", "level": 8034, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345195362, "dim": 14, "is_polredabs": true, "trace_hash": 1759935336409658900, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-1492, 506, 10504, -2997, -22759, 4126, 18441, -2268, -5438, 451, 722, -36, -44, 1, 1]], [7, [-6624, -35664, 13691, 91773, -14049, -76528, 11179, 23945, -3857, -3377, 596, 216, -41, -5, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}-\\beta _{1}q^{5}+q^{6}-\\beta _{7}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32136, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 64.15181298389666, "hecke_ring_index": 1, "level_radical": 8034, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [8034, 1, [5357, 1237, 5773], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 13, 103], "conrey_indexes": [1], "field_disc": 289861189710266609151524204088, "field_disc_factorization": [[2, 3], [3, 1], [23, 1], [525110850924396031071601819, 1]], "field_poly": [-1492, -506, 10504, 2997, -22759, -4126, 18441, 2268, -5438, -451, 722, 36, -44, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.091", "prec": 17}, {"__RealLiteral__": 0, "data": "10.754", "prec": 20}, {"__RealLiteral__": 0, "data": "2.579", "prec": 17}, {"__RealLiteral__": 0, "data": "336.535", "prec": 24}, {"__RealLiteral__": 0, "data": "44.986", "prec": 20}, {"__RealLiteral__": 0, "data": "16185.306", "prec": 30}], "related_objects": [], 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