# Stored data for newform 175.2.o.a, downloaded from the LMFDB on 25 April 2024. {"label": "175.2.o.a", "space_label": "175.2.o", "level": 175, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 962106228911, "dim": 4, "is_polredabs": true, "nf_label": "4.0.144.1", "trace_hash": 1885514676416028107, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 4, 5, 2, 1]]], "qexp_display": "q+(-1+\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{2}+(1+\\zeta_{12}+\\cdots)q^{3}+\\cdots", "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 35, "char_orbit_label": "o", "char_is_real": false, "Nk2": 700, "analytic_conductor": 1.3973820353724067, "hecke_ring_index": 1, "level_radical": 35, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": 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[1, 1, 35, 11, 1, 12, 0]], "char_orbit_index": 15, "prim_orbit_index": 11, "minimal_twist": "35.2.k.a", "char_is_minimal": true, "conrey_index": 68, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 1, 1], [1, 1, 0, -1], [-1, 0, -1, 0], [0, 0, 0, 0], [-1, 0, 2, 2], [3, 0, -1, 0], [0, -1, 1, 0], [2, -1, -1, 1], [0, 0, 0, 0], [1, -1, -1, 2], [-1, -2, -1, 1], [2, 0, 0, 2], [-2, 1, 3, 2], [0, 0, 0, 0], [0, -2, -1, -2], [-2, 2, 0, -2], [-1, 1, 1, 0], [0, -1, -1, -1], [0, 0, 0, 0], [3, 2, -1, -3], [-1, 0, 0, -1], [-3, -4, -1, 1], [-1, 0, 1, 0], [0, 0, 0, 0], [-4, -2, 2, 2], [-2, -3, 3, 2], [-4, 0, -1, 0], [0, 0, 0, -3], [0, 0, 0, 0], [-2, 4, -2, 0], [5, 5, -4, -1], 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[-3, 5, 8, 3], [2, 0, -4, 4], [0, 0, 0, 0]]}