# Stored data for newform 490.2.e.e, downloaded from the LMFDB on 18 April 2024.
{"label": "490.2.e.e", "space_label": "490.2.e", "level": 490, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014673420943850, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1793120807508084176, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [4, -2, 1]], [11, [16, -4, 1]], [13, [2, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(2-2\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1960, "analytic_conductor": 3.912669699042739, "hecke_ring_index": 1, "level_radical": 70, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [490, 3, [197, 101], [3, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [361, 471], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "1.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.240", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "100.980", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, 2, 1, 0], "traces": [0, 2, -1, 2, -1, 1, -4, 0, 2, -1, 1, 4, 2, -4, 0, 4, -1, 8, -1, -6, -2, 0, -8, 4, 2, -1, 2, 8, 0, -12, -2, 4, -1, -8, -16, 0, 2, 10, -6, -4, 1, -8, 0, 8, 4, 1, 4, 4, -4, 0, 2, -16, 2, -10, -4, 8, 0, -24, 6, -14, 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"conrey_index": 361, "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], [0, -1], [2, -2], [-1, 1], [0, 1], [-2, 0], [0, 0], [1, 0], [0, -1], [1, -1], [4, -4], [0, 2], [-2, 0], [0, 0], [2, 0], [0, -1], [8, -8], [-1, 1], [0, -6], [-1, 0], [0, 0], [-4, 0], [0, 4], [2, -2], [-1, 1], [0, 2], [4, 0], [0, 0], [-6, 0], [0, -2], [4, -4], [-1, 1], [0, -8], [-8, 0], [0, 0], [1, 0], [0, 10], [-6, 6], [-4, 4], [0, 1], [-4, 0], [0, 0], [4, 0], [0, 4], [1, -1], [4, -4], [0, 4], [-2, 0], [0, 0], [1, 0], [0, -16], [2, -2], [-10, 10], [0, -4], [4, 0], [0, 0], [-12, 0], [0, 6], [-14, 14], [-2, 2], [0, -10], [-4, 0], [0, 0], [1, 0], [0, -2], [-8, 8], [4, -4], [0, 8], [8, 0], [0, 0], [12, 0], [0, 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