# Stored data for newform 1183.2.a.q, downloaded from the LMFDB on 19 April 2024.
{"label": "1183.2.a.q", "space_label": "1183.2.a", "level": 1183, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071483551, "dim": 12, "is_polredabs": true, "trace_hash": 1950549607406820539, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [29, -183, -157, 542, 262, -562, -199, 246, 80, -46, -15, 3, 1]], [11, [-2701133, -900676, 1617506, 505685, -339321, -112394, 30684, 12005, -994, -613, -13, 12, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{6})q^{3}+(2-\\beta _{4}+\\beta _{5}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4732, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 9.44630255911747, "hecke_ring_index": 1, "level_radical": 91, "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": [1183, 1, [339, 1016], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 2778109544307741469, "field_disc_factorization": [[7, 8], [481909010269, 1]], "field_poly": [29, 183, -157, -542, 262, 562, -199, -246, 80, 46, -15, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.146", "prec": 17}, {"__RealLiteral__": 0, "data": "10.605", "prec": 20}, {"__RealLiteral__": 0, "data": "7.234", "prec": 17}, {"__RealLiteral__": 0, "data": "350.369", "prec": 24}, {"__RealLiteral__": 0, "data": "491.476", "prec": 24}, {"__RealLiteral__": 0, "data": "20247.913", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", 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