# Stored data for newform 1143.2.a.i, downloaded from the LMFDB on 23 April 2024.
{"label": "1143.2.a.i", "space_label": "1143.2.a", "level": 1143, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519543, "dim": 7, "is_polredabs": true, "trace_hash": 1218683015444982737, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-15, -11, 28, 17, -15, -8, 2, 1]], [5, [48, 128, -32, -146, -53, 11, 8, 1]], [7, [-16, -112, 64, 114, -41, -20, 3, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1+\\beta _{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": 4572, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 9.126900951032347, "hecke_ring_index": 1, "level_radical": 381, "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": [1143, 1, [128, 892], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 127], "conrey_indexes": [1], "field_disc": 603651293, "field_disc_factorization": [[7, 1], [86235899, 1]], "field_poly": [15, -11, -28, 17, 15, -8, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.598", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "129.265", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4011.444", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [127, -1]], "trace_display": [-2, 0, -8, -3], "traces": [0, 7, -2, 0, 6, -8, 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