# Stored data for newform 1045.2.a.f, downloaded from the LMFDB on 19 April 2024.
{"label": "1045.2.a.f", "space_label": "1045.2.a", "level": 1045, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407957, "dim": 6, "is_polredabs": true, "nf_label": "6.6.7281497.1", "trace_hash": 1743916450941996032, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 3, 11, -8, -6, 2, 1]]], "qexp_display": "q-\\beta _{4}q^{2}+\\beta _{3}q^{3}+(\\beta _{4}+\\beta _{5})q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4180, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 8.3443670112238, "hecke_ring_index": 1, "level_radical": 1045, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [1045, 1, [837, 761, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11, 19], "conrey_indexes": [1], "field_disc": 7281497, "field_disc_factorization": [[31, 2], [7577, 1]], "field_poly": [-1, -2, 6, 7, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.332", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "77.465", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1774.821", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, 1], [19, 1]], "trace_display": [-2, -1, -6, 5], "traces": [0, 6, -2, -1, 4, -6, 0, 5, -12, 1, 2, -6, 1, -5, -8, 1, 4, 1, 6, -6, -4, 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