# Stored data for newform 273.2.t.a, downloaded from the LMFDB on 23 April 2024.
{"label": "273.2.t.a", "space_label": "273.2.t", "level": 273, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1305703612689, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 598386096332037316, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 0, 1]]], "qexp_display": "q+(-1+2\\zeta_{6})q^{2}+\\zeta_{6}q^{3}-q^{4}+(-4+\\cdots)q^{5}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 91, "char_orbit_label": "t", "char_is_real": false, "Nk2": 1092, "analytic_conductor": 2.1799159751809545, "hecke_ring_index": 1, "level_radical": 273, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.185", "prec": 17}, "analytic_rank_proved": true, "char_values": [273, 6, [92, 157, 106], [6, 4, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [3, 7, 13], "conrey_indexes": [4, 205], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.198", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "87.529", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 1, -6, 5], "traces": [0, 2, 0, 1, -2, -6, -3, 5, 0, -1, -6, 6, -1, -5, -3, -6, -10, -12, -3, 3, 6, 1, 6, 12, -3, 7, 9, -2, -5, -6, 6, 18, 0, 6, 0, -18, 1, 0, -3, 2, -6, 6, -9, 1, -6, 0, 0, 18, -5, 11, 21, -6, 5, 6, 0, -12, -3, 0, -18, 0, 6, -1, -18, -4, -2, 24, 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"char_orbit_index": 20, "prim_orbit_index": 11, "minimal_twist": "273.2.t.a", "char_is_minimal": true, "conrey_index": 4, "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], [1, 0], [-1, 2], [0, 1], [-1, 0], [-4, 2], [-2, 1], [2, 1], [-1, 2], [-1, 1], [0, -6], [4, -2], [0, -1], [-1, -3], [-4, 5], [-2, -2], [-5, 0], [-6, 0], [-1, -1], [1, 1], [4, -2], [-1, 3], [0, 6], [6, 0], [-2, 1], [7, -7], [7, -5], [-1, 0], [-2, -1], [-6, 6], [6, -6], [6, 6], [3, -6], [2, 2], [6, -12], [-10, 2], [1, -1], [1, -2], [-3, 3], [3, -4], [0, -6], [2, 2], [-5, 1], [0, 1], [-4, 2], [2, -4], [-6, 12], [12, -6], [0, -5], [3, 5], [7, 7], [0, -6], [1, 3], [6, -6], [1, -2], [-12, 12], [-4, 5], [-1, 2], [-6, -6], 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