# Stored data for newform 570.2.i.g, downloaded from the LMFDB on 14 April 2021.
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-2, 10, 84, 2, 6, 12, 24, 1, 0, -13, 6, 38, -6, -7, 54, -2, -14, -18, 94, -48, -11, 0, -30, 22, 2, 0, 1, -2, -13, -6, 3, 0, -12, -36, 84, -9, 1, -56, -150, 2, 3, 10, -68, -3, -112, -12, -43, 2, -40, 35, -4, 15, 4, -17, 49, 1, 86, 24, 41, 0, -20, -88, -40, -2, 7, 9, 1, -100, 0, 20, 27, -2, -36, 13, -18, 4, 0, -37, 9, 20, 0, 16, 58, 16, 12, 1, 8, -3, -12, -9, 3, -5, 3, 0, -14, -2, 30, 18, 144, 2, 2, 4, 26, -12, -1, 6, -18, -52, -34, 16, 0, -1, 97, -26, -44, 0, -16, -48, 74, 10, 2, 32, -42, 5, -58, -3, 98, 0, 120, 11, 2, -10, 12, 72, 14, -2, -42, -2, 0, -19, 3, -1, 99, -30, 0, 40, 44, -2, -13, 7, 1, -6, 104, -11, -105, -24, 4, 39, -15, 1, -3, 0, 0, 73, -64, -1, -57, -3, 36, -2, 50, 24, 24, -8, -4, -4], "hecke_ring_index_factorization": [], "nf_label": "4.0.47961.2", "field_poly": [324, 18, 19, -1, 1], "has_non_self_twist": 1, "char_values": [570, 3, [191, 457, 211], [3, 3, 1]], "Nk2": 2280, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "i", "weight": 2, "trace_display": [2, -2, -2, -4], "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-\\beta _{2})q^{2}+(-1+\\beta _{2})q^{3}-\\beta _{2}q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": 47961, "level_is_prime_power": false, "relative_dim": 2, "hecke_cutters": [[7, [1, 1]], [11, [-18, 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": 11, "hecke_orbit_code": 27022147553591866, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.611", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "47.119", "prec": 20}, {"__RealLiteral__": 0, "data": "12.852", "prec": 20}, {"__RealLiteral__": 0, "data": "1070.695", "prec": 27}], "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, 0, 0], [1, 0, 0, 0], [1, 0, -1, 0], [-1, 0, 1, 0], [0, 0, -1, 0], [-1, 0, 1, 0], [0, 0, 1, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 1, 0], [-1, 0, 0, 1], [1, 0, 0, 0], [0, -1, 1, 0], [-1, 0, 1, 0], [0, 0, -1, 0], [-1, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [1, -1, 0, 0], [1, 0, 0, 0], [1, 0, -1, 0], [-1, 1, 0, 1], [0, -1, 0, 0], [1, 0, -1, 0], [0, 0, -1, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 6, 0], [-1, 0, 0, 0], [-2, 0, 0, 1], [0, 0, 1, 0], [1, -1, 0, -1], [0, 0, 0, 0], [1, 0, -1, 0], [-1, 0, 1, 0], [-1, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, -1], [1, 0, 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