# Stored data for newform 4489.2.a.l, downloaded from the LMFDB on 05 May 2024.
{"label": "4489.2.a.l", "space_label": "4489.2.a", "level": 4489, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934634377, "dim": 10, "is_polredabs": true, "trace_hash": 2278556658040336671, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 3, -3, -4, 1, 1]]], "qexp_display": "q+(-1+\\beta _{4}-\\beta _{5}-\\beta _{6}+\\beta _{7})q^{2}-\\beta _{1}q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17956, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 35.84484546735276, "hecke_ring_index": 1, "level_radical": 67, "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": [4489, 1, [2], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [67], "conrey_indexes": [1], "field_disc": 106749222225833, "field_disc_factorization": [[11, 8], [497993, 1]], "field_poly": [-67, 207, 670, 120, -535, -147, 161, 32, -21, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.668", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "266.081", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11128.813", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[67, 1]], "trace_display": [-2, -2, -5, -4], "traces": [0, 10, -2, -2, -2, -5, -4, -4, 0, 16, -10, -11, -4, -5, 3, 0, -18, 20, -1, 2, 1, 23, 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