# Stored data for newform 6790.2.a.bd, downloaded from the LMFDB on 14 May 2024.
{"label": "6790.2.a.bd", "space_label": "6790.2.a", "level": 6790, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227305606, "dim": 15, "is_polredabs": true, "trace_hash": 658349849860314590, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [32, 168, -3232, 3700, 9160, -9588, -9436, 7452, 3856, -2524, -720, 417, 62, -33, -2, 1]], [11, [-22464, 586800, 2108392, -1468668, -3183072, 2737112, 237360, -709182, 102278, 62072, -15808, -1787, 785, -14, -13, 1]], [23, [-34752, 32760, 1170004, -2030546, -4311344, 14828931, -16540505, 9318169, -2763052, 323551, 41155, -17419, 1614, 71, -21, 1]]], "qexp_display": "q+q^{2}+\\beta _{1}q^{3}+q^{4}-q^{5}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27160, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 54.21842297244938, "hecke_ring_index": 1, "level_radical": 6790, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [6790, 1, [2717, 3881, 1751], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 5, 7, 97], "conrey_indexes": [1], "field_disc": 1589588125586226569607691787802624, "field_disc_factorization": [[2, 11], [3, 1], [52027, 1], [581053849, 1], [8558314391000027, 1]], "field_poly": [32, 168, -3232, 3700, 9160, -9588, -9436, 7452, 3856, -2524, -720, 417, 62, -33, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "11.476", "prec": 20}, {"__RealLiteral__": 0, "data": "2.129", "prec": 17}, {"__RealLiteral__": 0, "data": "402.239", "prec": 24}, {"__RealLiteral__": 0, "data": "401.099", "prec": 24}, {"__RealLiteral__": 0, "data": "23303.292", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 15, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, -1], [97, -1]], "trace_display": [15, 2, -15, 15], "traces": [0, 15, 15, 2, 15, -15, 2, 15, 15, 25, -15, 13, 2, 3, 15, -2, 15, 11, 25, 4, -15, 2, 13, 21, 2, 15, 3, 8, 15, 18, -2, 4, 15, 5, 11, -15, 25, 16, 4, 12, -15, 3, 2, 17, 13, -25, 21, 4, 2, 15, 15, 17, 3, 30, 8, -13, 15, 10, 18, 10, -2, -5, 4, 25, 15, -3, 5, 25, 11, -26, -15, 44, 25, 11, 16, 2, 4, 13, 12, 3, -15, 63, 3, 4, 2, -11, 17, -6, 13, 1, -25, 3, 21, 16, 4, -4, 2, 15, 15, -5, 15, 3, 17, -3, 3, -2, 30, 47, 8, 10, -13, 25, 15, 30, 10, -21, 18, 14, 10, 11, -2, 32, -5, 35, 4, -15, 25, 29, 15, -38, -3, 28, 5, 4, 25, -8, 11, 87, -26, 26, -15, 8, 44, 0, 25, -18, 11, 2, 16, 38, 2, 5, 4, 39, 13, -4, 12, -51, 3, 38, 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