# Stored data for newform 1575.4.a.h, downloaded from the LMFDB on 09 May 2024.
{"label": "1575.4.a.h", "space_label": "1575.4.a", "level": 1575, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458703911, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1786128615184068612, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 1]], [11, [-21, 1]], [13, [-24, 1]]], "qexp_display": "q+2q^{2}-4q^{4}-7q^{7}-24q^{8}+21q^{11}+\\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": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "1.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "2.036", "prec": 17}, {"__RealLiteral__": 0, "data": "0.084", "prec": 17}, {"__RealLiteral__": 0, "data": "5.127", "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": [2, 0, 0, -7], "traces": [0, 1, 2, 0, -4, 0, 0, -7, -24, 0, 0, 21, 0, 24, -14, 0, -16, 22, 0, 16, 0, 0, 42, 25, 0, 0, 48, 0, 28, -167, 0, 10, 160, 0, 44, 0, 0, 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