# Stored data for newform 8034.2.a.bd, downloaded from the LMFDB on 18 April 2024.
{"label": "8034.2.a.bd", "space_label": "8034.2.a", "level": 8034, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227306850, "dim": 16, "is_polredabs": true, "trace_hash": 2041849663097488060, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-66432, 94528, 185524, -296326, -122680, 270913, 19731, -113788, 6763, 25368, -3150, -3101, 498, 196, -36, -5, 1]], [7, [31456, 84352, -301910, -921151, 136818, 1185952, -137971, -487663, 80924, 85712, -17210, -7137, 1592, 277, -66, -4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+\\beta _{1}q^{5}+q^{6}-\\beta _{9}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": 2, "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": "0.004", "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": 624580482744452905314185221484179392, "field_disc_factorization": [[2, 6], [3, 6], [1309883, 1], [55441249, 1], [128917531, 1], [1429892591, 1]], "field_poly": [-66432, 94528, 185524, -296326, -122680, 270913, 19731, -113788, 6763, 25368, -3150, -3101, 498, 196, -36, -5, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.147", "prec": 17}, {"__RealLiteral__": 0, "data": "12.388", "prec": 20}, {"__RealLiteral__": 0, "data": "6.694", "prec": 17}, {"__RealLiteral__": 0, "data": "469.844", "prec": 24}, {"__RealLiteral__": 0, "data": "710.441", "prec": 24}, {"__RealLiteral__": 0, "data": "29350.739", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [13, 1], [103, -1]], "trace_display": [16, 16, 5, 4], "traces": [0, 16, 16, 16, 16, 5, 16, 4, 16, 16, 5, 18, 16, -16, 4, 5, 16, 17, 16, 8, 5, 4, 18, 9, 16, 17, -16, 16, 4, 14, 5, 12, 16, 18, 17, 16, 16, 31, 8, -16, 5, 29, 4, 30, 18, 5, 9, -1, 16, 36, 17, 17, -16, 12, 16, 30, 4, 8, 14, 38, 5, 0, 12, 4, 16, -5, 18, 28, 17, 9, 16, 32, 16, 20, 31, 17, 8, 26, -16, 13, 5, 16, 29, 39, 4, 31, 30, 14, 18, 9, 5, -4, 9, 12, -1, -20, 16, 35, 36, 18, 17, 18, 17, 16, -16, 16, 12, 13, 16, 10, 30, 31, 4, 2, 8, 22, 14, -16, 38, 17, 5, 56, 0, 29, 12, 27, 4, 20, 16, 30, -5, 7, 18, 2, 28, 5, 17, 8, 9, -14, 16, -1, 32, -18, 16, -14, 20, 36, 31, 35, 17, 39, 8, 17, 26, -18, -16, -29, 13, 12, 5, 1, 16, 34, 29, 30, 39, -12, 4, 16, 31, 8, 30, 36, 14, 31, 18, 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