# Stored data for newform 570.2.a.i, downloaded from the LMFDB on 16 January 2021.
{"level_primes": [2, 3, 5, 19], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 1844784054613365543, "level_radical": 570, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/570/i"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 9, "analytic_conductor": 4.551472915212982, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "570.2.a.i", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "570.2.a.i", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "traces": [0, 1, 1, -1, 1, 1, -1, 4, 1, 1, 1, 0, -1, -6, 4, -1, 1, 2, 1, 1, 1, -4, 0, 8, -1, 1, -6, -1, 4, 2, -1, -8, 1, 0, 2, 4, 1, 10, 1, 6, 1, 6, -4, -8, 0, 1, 8, 0, -1, 9, 1, -2, -6, -2, -1, 0, 4, -1, 2, -12, 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20, 18, 0, 44, -8, -24, 24, 8, -1, 14, -34, 13, -32, 0, -2, 72, 6, -10, 8, 4, -2, -6, 8, -6, 0, 42, 9, 8, -12, 12, -4, -16, -10, -32, 6, 0, -16, 0, 2, -20, 4, 48, 30, -16, 1, -4, 0, 32, 18, -18, 0, -60, 20, -18, -24, -16, -1, 0, 10, 2, 6, 0, -2, 24, 8, -20, 6, 48, 0, 10, 4, 8, 2, -14, 8, 9, -6, -12, -28, 0, -6, 2, -48, 6, 0, -30, 10, 48, -12, -4, 0, 44, 16, -12, 1, 26, 8, -6, -2, -12, -20, 0, 36, -24, -1, 33, -60, 20, -14, -2, -32, 44, -11, -2, -10, 12, -1, -48, -8, 6, -2, -54, -8, 0, 9, 6, -40, 24, -6, 6, 4, 0, -6, -64, 0, 32, -8, -20, -32, 16, 4, 14, -20, -10, 1], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "-+--", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [19, -1]], "char_values": [570, 1, [191, 457, 211], [1, 1, 1]], "Nk2": 2280, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [1, -1, 1, 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+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[7, [-4, 1]], [11, [0, 1]], [13, [6, 1]]], "space_label": "570.2.a", "level": 570, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 36028797052518970, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.051", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.171", "prec": 17}], "id": null, "projective_field": null, 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