# Stored data for newform 8034.2.a.bc, downloaded from the LMFDB on 18 April 2024.
{"label": "8034.2.a.bc", "space_label": "8034.2.a", "level": 8034, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599936354, "dim": 15, "is_polredabs": true, "trace_hash": 1672316168387386419, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-2048, -17600, 11840, 65434, -21747, -71361, 16428, 33191, -5112, -7580, 707, 872, -44, -48, 1, 1]], [7, [211634, -81965, -603653, 198660, 590741, -164378, -255993, 63048, 53846, -12093, -5625, 1187, 275, -56, -5, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-\\beta _{1}q^{5}-q^{6}-\\beta _{12}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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [8034, 1, [5357, 1237, 5773], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 3, 13, 103], "conrey_indexes": [1], "field_disc": 532393107560317658405319429762824, "field_disc_factorization": [[2, 3], [13, 1], [419, 1], [157639, 1], [186874700923, 1], [414735184067, 1]], "field_poly": [2048, -17600, -11840, 65434, 21747, -71361, -16428, 33191, 5112, -7580, -707, 872, 44, -48, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.172", "prec": 17}, {"__RealLiteral__": 0, "data": "12.065", "prec": 20}, {"__RealLiteral__": 0, "data": "6.160", "prec": 17}, {"__RealLiteral__": 0, "data": "413.377", "prec": 24}, {"__RealLiteral__": 0, "data": "312.670", "prec": 24}, {"__RealLiteral__": 0, "data": 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