# Stored data for newform 1150.4.a.r, downloaded from the LMFDB on 15 May 2024.
{"label": "1150.4.a.r", "space_label": "1150.4.a", "level": 1150, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732408446, "dim": 5, "is_polredabs": true, "trace_hash": 1374394345816607001, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [260, 810, 73, -73, 0, 1]], [7, [2018520, 125916, -13700, -793, 20, 1]]], "qexp_display": "q-2q^{2}-\\beta _{1}q^{3}+4q^{4}+2\\beta _{1}q^{6}+(-4+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18400, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 67.8521965066017, "hecke_ring_index": 2, "level_radical": 230, "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": [1150, 1, [277, 51], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 1791920462325, "field_disc_factorization": [[3, 1], [5, 2], [7, 1], [22367, 1], [152599, 1]], "field_poly": [-260, 810, -73, -73, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.505", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.456", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1169.647", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [23, -1]], "trace_display": [-10, 0, 0, -20], "traces": [0, 5, -10, 0, 20, 0, 0, -20, 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