# Stored data for newform 6027.2.a.bj, downloaded from the LMFDB on 28 March 2024. {"label": "6027.2.a.bj", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991527819, "dim": 14, "is_polredabs": true, "trace_hash": 263841854204100768, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [16, 112, 44, -579, -384, 1007, 662, -716, -438, 237, 134, -36, -19, 2, 1]], [5, [-166, -1288, 8528, -8523, -18545, 41760, -23539, -4389, 8102, -1475, -705, 253, 4, -10, 1]], [13, [50897351, -88891192, 25101906, 45196705, -41479876, 11188967, 1531858, -1540976, 272365, 19825, -12416, 1136, 89, -21, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(1+\\beta _{3}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24108, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 48.12583729822569, "hecke_ring_index": 1, "level_radical": 861, "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": [6027, 1, [4019, 493, 2794], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 92216777380037923508029764, "field_disc_factorization": [[2, 2], [3, 3], [7, 2], [17425694894187060375667, 1]], "field_poly": [16, -112, 44, 579, -384, -1007, 662, 716, -438, -237, 134, 36, -19, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.101", "prec": 17}, {"__RealLiteral__": 0, "data": "11.679", "prec": 20}, {"__RealLiteral__": 0, "data": "5.135", "prec": 17}, {"__RealLiteral__": 0, "data": "408.415", "prec": 24}, {"__RealLiteral__": 0, "data": "333.580", "prec": 24}, {"__RealLiteral__": 0, "data": "22497.762", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 14, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1], [41, -1]], "trace_display": [-2, -14, 10, 0], "traces": [0, 14, -2, -14, 14, 10, 2, 0, -6, 14, 3, -16, -14, 21, 0, -10, 22, 12, -2, 2, 40, 0, 1, -7, 6, 22, 2, -14, 0, -16, -3, 8, -19, 16, 33, 0, 14, 1, 32, -21, -13, 14, 0, 14, -36, 10, -12, 12, -22, 0, -1, -12, 60, -20, 2, -11, 0, -2, 21, 25, -40, 26, -33, 0, 42, -8, -1, -22, 15, 7, 0, -36, -6, 31, -65, -22, -2, 0, -2, 12, 112, 14, -2, 20, 0, 40, -9, 16, -54, 39, 3, 0, 63, -8, 14, -55, 19, 18, 0, -16, 57, 51, -33, 13, -6, 0, 54, -22, -14, -12, 4, -1, 0, 10, -32, 69, -93, 21, 51, 0, 13, 42, 9, -14, 7, 21, 0, 49, 9, -14, -38, -6, 36, 0, 11, -10, 62, -23, 12, -20, 0, -12, 5, 12, 22, 7, 42, 0, 17, -24, 1, -27, 99, 12, 0, -4, 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