# Stored data for newform 6171.2.a.bo, downloaded from the LMFDB on 16 May 2024.
{"label": "6171.2.a.bo", "space_label": "6171.2.a", "level": 6171, "weight": 2, "hecke_orbit": 41, "hecke_orbit_code": 180143985128380443, "dim": 14, "is_polredabs": true, "trace_hash": 1360838071762576708, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [4, -16, -151, 644, -195, -1160, 638, 778, -449, -244, 136, 36, -19, -2, 1]], [5, [2512, -15904, 22916, 20712, -44120, -13068, 25180, 3520, -6402, -392, 794, 14, -46, 0, 1]], [7, [-5324, 14520, 111188, -152924, -61492, 114052, 15746, -34148, -3626, 4838, 622, -296, -45, 6, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-\\beta _{5}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24684, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 49.275683087332126, "hecke_ring_index": 1, "level_radical": 561, "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": [6171, 1, [4115, 970, 2179], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 11, 17], "conrey_indexes": [1], "field_disc": 38780775959400223228035072, "field_disc_factorization": [[2, 18], [3, 7], [11, 2], [184727, 1], [3026300447, 1]], "field_poly": [4, -16, -151, 644, -195, -1160, 638, 778, -449, -244, 136, 36, -19, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.590", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "460.307", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "26719.970", "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], [11, 1], [17, 1]], "trace_display": [2, -14, 0, -6], "traces": [0, 14, 2, -14, 14, 0, -2, -6, 6, 14, -8, 0, -14, -20, 4, 0, 14, -14, 2, -16, -16, 6, 0, -2, -6, 22, -4, -14, 30, -22, 8, 0, 34, 0, -2, -2, 14, 8, -16, 20, -74, -24, -4, -12, 0, 0, -26, 28, -14, 28, 50, 14, -48, 18, -2, 0, 6, 16, 0, 20, 16, -64, -62, -6, -4, 30, 0, 10, -14, 2, -44, -8, 6, -44, -50, -22, -24, 0, 4, -8, -102, 14, -46, -12, -30, 0, 12, 22, 0, -8, -8, -20, -20, 0, 16, 30, -34, -14, 90, 0, 26, -34, 2, -6, -24, 2, -92, 26, -14, -38, 0, -8, 18, 18, 16, 16, 6, -20, -28, 6, 74, 0, -88, 24, -20, -42, 4, -52, -14, 12, 40, 6, 0, -22, 2, 0, -6, 54, 26, -44, -122, -28, 22, 0, 14, 16, -14, -28, 40, -52, -50, -44, -36, -14, 0, 22, 48, 42, -6, -18, -52, -36, 2, -24, -6, 0, 26, 98, -6, 54, 8, -16, -84, -72, 0, -40, 0, -20, 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