# Stored data for newform 201.2.e.a, downloaded from the LMFDB on 25 April 2024.
{"label": "201.2.e.a", "space_label": "201.2.e", "level": 201, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461577, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 271702534248715552, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [4, 2, 1]]], "qexp_display": "q+(-2+2\\zeta_{6})q^{2}+q^{3}-2\\zeta_{6}q^{4}-4q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 67, "char_orbit_label": "e", "char_is_real": false, "Nk2": 804, "analytic_conductor": 1.6049930806277357, "hecke_ring_index": 1, "level_radical": 201, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [201, 3, [68, 136], [3, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "level_primes": [3, 67], "conrey_indexes": [37, 163], "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": "1.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.143", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "113.195", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-2, 2, -8, -4], "traces": [0, 2, -2, 2, -2, -8, -2, -4, 0, 2, 8, -2, -2, -5, 16, -8, 4, -6, -2, -4, 8, -4, 8, 6, 0, 22, -10, 2, -8, 2, 8, -5, 8, -2, -12, 16, -2, -2, -8, -5, 0, 0, 16, -22, -4, -8, 12, -8, 4, -9, -22, -6, 20, -4, -2, 8, 0, -4, -8, 0, 8, 5, 20, -4, -16, 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"level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 67, 3, 1, 3, 0]], "char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "201.2.e.a", "char_is_minimal": true, "conrey_index": 37, "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], [-2, 2], [1, 0], [0, -2], [-4, 0], [-2, 2], [0, -4], [0, 0], [1, 0], [8, -8], [0, -2], [0, -2], [-5, 5], [8, 0], [-4, 0], [4, -4], [-6, 6], [-2, 2], [-4, 4], [0, 8], [0, -4], [4, 0], [6, -6], [0, 0], [11, 0], [0, -10], [1, 0], [-8, 8], [0, 2], [8, -8], [0, -5], [0, 8], [0, -2], [0, -12], [0, 16], [0, -2], [-2, 2], [0, -8], [-5, 5], [0, 0], [0, 0], [8, 0], [-11, 0], [-4, 4], [-4, 0], [0, 12], 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