# Stored data for newform 575.2.a.g, downloaded from the LMFDB on 26 April 2024.
{"label": "575.2.a.g", "space_label": "575.2.a", "level": 575, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797777983, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1163756753669156663, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -3, 1]], [3, [-1, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+q^{3}+3\\beta q^{4}+(1+\\beta )q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2300, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 4.591398116223622, "hecke_ring_index": 1, "level_radical": 115, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [575, 1, [277, 51], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 23], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.054", "prec": 17}, {"__RealLiteral__": 0, "data": "1.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.455", "prec": 17}, {"__RealLiteral__": 0, "data": "10.066", "prec": 20}, {"__RealLiteral__": 0, "data": "4.595", "prec": 17}, {"__RealLiteral__": 0, "data": "72.527", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [23, -1]], "trace_display": [3, 2, 0, 2], "traces": [0, 2, 3, 2, 3, 0, 3, 2, 6, -4, 0, -2, 3, 8, -2, 0, 13, 4, -6, 2, 0, 2, -8, 2, 6, 0, 17, -10, -12, -10, 0, 4, 15, -2, -4, 0, -6, 6, -12, 8, 0, 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"level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "115.2.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [1, 1], [1, 0], [0, 3], [0, 0], [1, 1], [2, -2], [1, 4], [-2, 0], [0, 0], [0, -2], [0, 3], [3, 2], [0, -2], [0, 0], [5, 3], [4, -4], [-2, -2], [4, -6], [0, 0], [2, -2], [-2, -4], [1, 0], [1, 4], [0, 0], [5, 7], [-5, 0], [-6, 0], [-7, 4], [0, 0], [1, 2], [6, 3], [0, -2], [0, -4], [0, 0], [0, -6], [0, 6], [-2, -8], [3, 2], [0, 0], [-1, -4], [0, -2], [6, -6], [-6, -6], [0, 0], [1, 1], [-3, -4], [5, 3], [1, -4], [0, 0], [4, -4], [6, 15], [6, 0], [-5, -5], [0, 0], [-6, -2], [4, -6], [-3, 1], [-4, 8], [0, 0], [-4, 10], [3, 5], [-4, 4], [-1, 6], [0, 0], [-2, -4], [0, -6], [-12, 0], [1, 0], [0, 0], [-3, -2], [-2, -8], [-3, 6], [6, 12], [0, 0], [-18, -6], [4, 0], [5, 7], [12, -2], [0, 0], [1, 0], [-5, -9], [0, 4], [-6, 0], [0, 0], [0, -6], [-7, 4], [-8, -10], [6, -2], [0, 0], [2, -6], [0, 3], [1, 2], [-7, -11], [0, 0], [6, 3], [-10, 10], [-3, -7], [0, 4], [0, 0]]}