# Stored data for newform 930.2.a.j, downloaded from the LMFDB on 28 March 2023.
{"level_primes": [2, 3, 5, 31], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 1150891118781399154, "level_radical": 930, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/930/j"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 10, "analytic_conductor": 7.426087387979075, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "930.2.a.j", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "930.2.a.j", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, "traces": [0, 1, -1, 1, 1, 1, -1, 4, -1, 1, -1, 2, 1, 2, -4, 1, 1, 0, -1, 0, 1, 4, -2, -6, -1, 1, -2, 1, 4, 0, -1, 1, -1, 2, 0, 4, 1, -2, 0, 2, -1, -10, -4, -4, 2, 1, 6, 4, 1, 9, -1, 0, 2, 6, -1, 2, -4, 0, 0, -4, 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-14, 20, -17, 4, 8, 0, 8, 2, 14, 0, 4, 4, 18, -24, -2, 2, 22, -9, -36, 0, -4, -12, -28, 2, 72, -6, 2, -10, 0, 2, -2, -4, -12, -6, 0, 1, 0, 20, -16, -2, -20, -4, 28, -20, -10, -8, 32, 0, 16, -8, 0, -20, 16, 0, 16, 6, -28, 0, -32, 8, -2, 18, -12, 0, 30, -1, 0, -22, 0, 20, 0, -2, 30, -16, 28, 4, 28, -18, 60, -4, 4, 8, -36, 4, 8, 0, -6, 0, -12, -6, 0, -8, 0, -16, -48, 1, 1, 4, 12, -22, -10, 24, 26, 7, 0, -14, 48, 1, -24, -10, 2, 0, -18, 12, 12, 9, -2, -6, 10, 10, -6, 0, 16, 0, 24, -2, 28, -1, 18, 64, 20, 8, 6, -22, -2, -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], [31, -1]], "char_values": [930, 1, [311, 187, 871], [1, 1, 1]], "Nk2": 3720, "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, [-2, 1]], [19, [0, 1]]], "space_label": "930.2.a", "level": 930, "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": 40532396679889826, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.062", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [-1], [1], [1], [1], [-1], [4], [-1], [1], [-1], [2], [1], [2], [-4], [1], [1], [0], [-1], [0], [1], [4], [-2], [-6], [-1], [1], [-2], [1], [4], [0], [-1], [1], [-1], [2], [0], [4], [1], [-2], [0], [2], [-1], [-10], [-4], [-4], [2], [1], [6], [4], [1], [9], [-1], [0], [2], [6], [-1], [2], [-4], [0], [0], [-4], [1], [0], [-1], [4], [1], [2], [-2], [4], [0], [-6], [-4], [-16], [-1], [4], [2], [1], [0], [8], [-2], [4], [1], [1], [10], [8], [4], [0], [4], [0], [-2], [6], [-1], [8], [-6], [1], [-4], [0], [-1], [14], [-9], [2], [1]]}