# Stored data for newform 1575.4.a.k, downloaded from the LMFDB on 24 April 2024.
{"label": "1575.4.a.k", "space_label": "1575.4.a", "level": 1575, "weight": 4, "hecke_orbit": 11, "hecke_orbit_code": 45035996340815399, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1635199933066149436, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, 1]], [11, [62, 1]], [13, [-62, 1]]], "qexp_display": "q+4q^{2}+8q^{4}+7q^{7}-62q^{11}+62q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25200, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 92.92800825904146, "hecke_ring_index": 1, "level_radical": 105, "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": [1575, 1, [1226, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "2.041", "prec": 17}, {"__RealLiteral__": 0, "data": "0.047", "prec": 17}, {"__RealLiteral__": 0, "data": "5.152", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -1]], "trace_display": [4, 0, 0, 7], "traces": [0, 1, 4, 0, 8, 0, 0, 7, 0, 0, 0, -62, 0, 62, 28, 0, -64, 84, 0, 100, 0, 0, -248, -42, 0, 0, 248, 0, 56, 10, 0, -48, -256, 0, 336, 0, 0, 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