# Stored data for newform 1003.2.a.i, downloaded from the LMFDB on 25 April 2024.
{"label": "1003.2.a.i", "space_label": "1003.2.a", "level": 1003, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519403, "dim": 18, "is_polredabs": true, "trace_hash": 747467914126603587, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [28, -100, -1952, 1189, 9201, -5604, -15697, 11182, 11533, -9826, -3825, 4304, 431, -984, 52, 112, -16, -5, 1]], [3, [128, 3760, 11672, -5572, -42652, -3090, 60913, 8592, -43240, -5784, 16995, 1901, -3862, -331, 504, 29, -35, -1, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{10}q^{3}+(1+\\beta _{2})q^{4}+(1+\\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": 4012, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 8.008995322734423, "hecke_ring_index": 2, "level_radical": 1003, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1003, 1, [768, 120], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [17, 59], "conrey_indexes": [1], "field_disc": 1228928910150282181613967694323432244, "field_disc_factorization": [[2, 2], [103, 1], [2982837160558937334014484694959787, 1]], "field_poly": [28, -100, -1952, 1189, 9201, -5604, -15697, 11182, 11533, -9826, -3825, 4304, 431, -984, 52, 112, -16, -5, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.256", "prec": 17}, {"__RealLiteral__": 0, "data": "14.709", "prec": 20}, {"__RealLiteral__": 0, "data": "14.787", "prec": 20}, {"__RealLiteral__": 0, "data": "692.567", "prec": 24}, {"__RealLiteral__": 0, "data": "1921.919", "prec": 27}, 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