# Stored data for newform 3006.2.a.t, downloaded from the LMFDB on 05 May 2024.
{"label": "3006.2.a.t", "space_label": "3006.2.a", "level": 3006, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953596862, "dim": 5, "is_polredabs": true, "nf_label": "5.5.11256624.1", "trace_hash": 1335815281171435187, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-24, 60, 21, -19, -1, 1]], [7, [72, -132, 49, 15, -9, 1]]], "qexp_display": "q+q^{2}+q^{4}-\\beta _{2}q^{5}+(2-\\beta _{4})q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12024, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 24.003030847596882, "hecke_ring_index": 1, "level_radical": 1002, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [3006, 1, [335, 1675], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 167], "conrey_indexes": [1], "field_disc": 11256624, "field_disc_factorization": [[2, 4], [3, 3], [71, 1], [367, 1]], "field_poly": [-11, 31, 20, -16, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.069", "prec": 17}, {"__RealLiteral__": 0, "data": "4.591", "prec": 17}, {"__RealLiteral__": 0, "data": "0.539", "prec": 17}, {"__RealLiteral__": 0, "data": "59.661", "prec": 20}, {"__RealLiteral__": 0, "data": "11.385", "prec": 20}, {"__RealLiteral__": 0, "data": "1198.808", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [167, -1]], "trace_display": [5, 0, 1, 9], "traces": [0, 5, 5, 0, 5, 1, 0, 9, 5, 0, 1, 2, 0, 6, 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