# Stored data for newform 464.6.a.k, downloaded from the LMFDB on 29 March 2024. {"label": "464.6.a.k", "space_label": "464.6.a", "level": 464, "weight": 6, "hecke_orbit": 11, "hecke_orbit_code": 45035996374368720, "dim": 7, "is_polredabs": true, "trace_hash": 1365773448317854539, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-661023756, -22844001, 7496290, 280279, -26056, -1015, 26, 1]]], "qexp_display": "q+(-4+\\beta _{4})q^{3}+(5-\\beta _{2}+\\beta _{3}+\\beta _{5}+\\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": 16704, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 74.41809239322302, "hecke_ring_index": 8192, "level_radical": 58, "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": 0, "analytic_rank_proved": true, "char_values": [464, 1, [175, 117, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 5916217332234457600, "field_disc_factorization": [[2, 9], [5, 2], [11, 1], [113, 1], [371845920419, 1]], "field_poly": [524902, -149754, -34491, 10145, 584, -184, -3, 1], "hecke_ring_index_factorization": [[2, 13]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.152", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "105.654", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2753.233", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [29, -1]], 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