# Stored data for newform 275.4.a.b, downloaded from the LMFDB on 23 April 2024.
{"label": "275.4.a.b", "space_label": "275.4.a", "level": 275, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694479635, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1142738539929006541, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 2, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+(1-4\\beta )q^{3}+(-4-2\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4400, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 16.22552525157867, "hecke_ring_index": 1, "level_radical": 55, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": true, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [275, 1, [177, 101], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "1.937", "prec": 17}, {"__RealLiteral__": 0, "data": "0.138", "prec": 17}, {"__RealLiteral__": 0, "data": "9.325", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.684", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, 1]], "trace_display": [-2, 2, 0, -20], "traces": [0, 2, -2, 2, -8, 0, -26, -20, 12, 44, 0, -22, 40, -80, -4, 0, -8, 124, -92, 72, 0, 76, 22, 98, 252, 0, -40, 182, 128, 144, 0, -34, 104, -22, -52, 0, -80, -54, -432, 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