# Stored data for newform 570.2.i.d, downloaded from the LMFDB on 24 April 2024.
{"label": "570.2.i.d", "space_label": "570.2.i", "level": 570, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511348671480378, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1085413345478539016, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [1, 1]], [11, [-6, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(-1+\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "i", "char_is_real": false, "Nk2": 2280, "analytic_conductor": 4.551472915212982, "hecke_ring_index": 1, "level_radical": 570, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [570, 3, [191, 457, 211], [3, 3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 19], "conrey_indexes": [121, 391], "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": "2.068", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "12.679", "prec": 20}, {"__RealLiteral__": 0, "data": "0.529", "prec": 17}, {"__RealLiteral__": 0, "data": "116.632", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, -1, 1, -2], "traces": [0, 2, 1, -1, -1, 1, 1, -2, -2, -1, -1, 12, 2, -5, -1, 1, -1, 0, -2, 8, -2, 1, 6, -6, 1, -1, -10, 2, 1, -6, 2, 10, 1, -6, 0, -1, -1, 22, 1, 10, -1, -6, -1, 1, -6, -2, -12, -12, -1, -12, -2, 0, -5, 12, 1, 6, 2, -1, -12, -6, 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"minimal_twist": "570.2.i.d", "char_is_minimal": true, "conrey_index": 121, "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, -1], [-1, 1], [0, -1], [1, -1], [0, 1], [-1, 0], [-1, 0], [0, -1], [0, -1], [6, 0], [1, 0], [0, -5], [-1, 1], [0, 1], [-1, 1], [0, 0], [-1, 0], [5, -2], [-1, 0], [1, -1], [6, -6], [0, -6], [1, -1], [0, -1], [-5, 0], [1, 0], [0, 1], [0, -6], [1, 0], [5, 0], [0, 1], [-6, 6], [0, 0], [-1, 1], [-1, 1], [11, 0], [3, -5], [5, 0], [-1, 1], [-6, 6], [0, -1], [1, -1], [0, -6], [-1, 0], [-6, 0], [0, -12], [0, -1], [-6, 0], [-1, 0], [0, 0], [-5, 5], [0, 12], [1, -1], [6, -6], [1, 0], [-3, 5], [-6, 0], [-6, 6], [1, -1], [0, 7], [5, -5], [0, 1], [1, 0], [-5, 0], 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