# Stored data for newform 273.2.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "273.2.a.d", "space_label": "273.2.a", "level": 273, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666193, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 624506805123115511, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-2, -3, 2, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}-q^{3}+(2-2\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1092, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 2.1799159751809545, "hecke_ring_index": 1, "level_radical": 273, "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": "0.012", "prec": 17}, 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54, 16, 66, -10, 30, -92, -7, -76, 10, -40, -17, 30, -3, 20, -52, 200, -6, -4, 72, 22, 40, -56, -12, -120], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "273.2.a.d", "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, 0], [1, 0, 0], [-1, 1, 0], [-1, 0, 0], [2, -2, 1], [-1, 0, -1], [1, -1, 0], [-1, 0, 0], [-5, 3, -2], [1, 0, 0], [0, -2, 0], [0, -2, 2], [-2, 2, -1], [-1, 0, 0], [1, -1, 0], [1, 0, 1], [8, -6, 1], [-2, -2, 0], [-1, 1, 0], [-3, 2, 1], [-4, 2, 0], [1, 0, 0], [-4, 4, -2], [-3, 0, 1], [5, -3, 2], [0, 2, 1], [1, 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