# Stored data for newform 570.2.i.c, downloaded from the LMFDB on 11 April 2021.
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-8, -8, 15, 30, -3, 29, 22, 42, 46, -9, 0, -60, 6, 2, -2, -9, 8, -38, -12, -1, -20, 40, 2, 15, -10, 3, 76, 34, 1, 11, 32, 26, -12, -14, 0, 4, 6, 16, 1, -6, -12, 1, -30, 1, 1, -42, 4, -2, -4, 24, 44, 12, 9, 3, -5, -1, 6, 0, 12, -13, -3, 2, 9, 0, 2, 12, -1, -30, 20, 0, -18, 26, -28, 2, 6, 12, 8, 12, 18, 2, -14, -63, 2, 64, -2, 16, -22, 32, -6, -9, 25, 13, 0, -39, 8, 2, 12, -16, -32, 2, -2, -52, -12, 0, 0, 24, -14, 2, -12, -3, 10, -10, 14, -48, 1, -14, -6, 48, -3, -10, -12, 0, 40, -12, -1, -30, 36, 10, 10, 14, 3, -4, -20, 16, -16, -36, 1, 60, 41, 2, -4, 16, 2, 5, -4, -12, 33, -41, 1, 5, 0, 0, 14, -20, 1, 20, -4, 13, -24, 36, -12, 13, -15, -18, -2], "hecke_ring_index_factorization": [], "nf_label": "2.0.3.1", "field_poly": [1, -1, 1], "has_non_self_twist": 1, "char_values": [570, 3, [191, 457, 211], [3, 3, 1]], "Nk2": 2280, "field_poly_root_of_unity": 6, "analytic_rank": 0, "char_orbit_label": "i", "weight": 2, "trace_display": [-1, 1, 1, 6], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(-1+\\zeta_{6})q^{2}+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": -3, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[7, [-3, 1]], [11, [-1, 1]]], "space_label": "570.2.i", "level": 570, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], "char_degree": 2, "char_conductor": 19, "char_orbit_index": 9, "hecke_ring_generator_nbound": 2, "hecke_orbit_code": 9007749044109882, "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "1.998", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.584", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "101.626", "prec": 24}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0], [1, 0], [-1, 1], [1, -1], [0, -1], [1, -1], [0, 1], [3, 0], [1, 0], [0, -1], [0, 1], [1, 0], [-1, 0], [0, -2], [-3, 3], [0, -1], [-1, 1], [-2, 2], [1, 0], [3, -5], [-1, 0], [3, -3], [-1, 1], [0, -1], [1, -1], [0, -1], [2, 0], [-1, 0], [0, -3], [0, 0], [1, 0], [4, 0], [0, -1], [1, -1], [0, -2], [3, -3], [-1, 1], [9, 0], [2, 3], [-2, 0], [1, -1], [-1, 1], [0, 3], [10, -10], [0, -1], [-1, 0], [1, 0], [0, 0], [0, 1], [2, 0], [1, 0], [0, 2], [-2, 2], [0, -3], [1, -1], [1, -1], [3, 0], [-2, -3], [0, 0], [-12, 12], [-1, 1], [0, 2], [-4, 4], [0, -3], [1, 0], [-2, 0], [0, 1], [0, 2], [2, 0], [-1, 0], [0, 3], [-8, 8], [0, -1], [12, -12], [-9, 9], [-1, 0], [-5, 2], [3, 0], [2, -2], [-14, 14], [0, 1], [-1, 1], [0, -1], [6, 0], [-3, 0], [0, 2], [0, 10], [0, 0], [1, 0], [0, 5], [1, -1], [0, -6], [-1, 1], [4, -4], [0, 0], [-2, -3], [-1, 0], [-8, 8], [-2, 2], [0, -1], [-1, 1]]}