# Stored data for newform 4029.2.a.e, downloaded from the LMFDB on 25 April 2024.
{"label": "4029.2.a.e", "space_label": "4029.2.a", "level": 4029, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543040445, "dim": 18, "is_polredabs": true, "trace_hash": 218820178487171587, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [138, -318, -1942, 1858, 8758, -2434, -16711, -1809, 15005, 5249, -6280, -3316, 1181, 921, -56, -120, -10, 6, 1]], [5, [1713, 12153, -7720, -92866, 5011, 209879, 6034, -207645, -10951, 100902, 9080, -25574, -3338, 3345, 543, -211, -39, 5, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+\\beta _{14}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16116, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 32.17172697437387, "hecke_ring_index": 1, "level_radical": 4029, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [4029, 1, [2687, 3556, 3163], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 17, 79], "conrey_indexes": [1], "field_disc": 1719208923052819914523915833243648, "field_disc_factorization": [[2, 11], [3, 1], [13, 1], [37781, 1], [569718928018617907853989, 1]], "field_poly": [138, 318, -1942, -1858, 8758, 2434, -16711, 1809, 15005, -5249, -6280, 3316, 1181, -921, -56, 120, -10, -6, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.236", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "607.682", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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