# Stored data for newform 315.2.bl.b, downloaded from the LMFDB on 23 April 2024.
{"label": "315.2.bl.b", "space_label": "315.2.bl", "level": 315, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4506142281564475, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1247697581171825646, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 3, 1]], [11, [27, 9, 1]], [13, [27, 9, 1]], [17, [-3, 1]]], "qexp_display": "q+(-1-\\zeta_{6})q^{2}+(1-2\\zeta_{6})q^{3}+\\zeta_{6}q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "bl", "char_is_real": false, "Nk2": 1260, "analytic_conductor": 2.5152876636703323, "hecke_ring_index": 1, "level_radical": 105, "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": "0.191", "prec": 17}, "analytic_rank_proved": true, "char_values": [315, 6, [281, 127, 136], [5, 6, 3]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 5, 7], "conrey_indexes": [41, 146], "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": "1.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.033", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "103.344", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [-3, 0, -1, 1], "traces": [0, 2, -3, 0, 1, -1, -3, 1, 0, -6, 0, -9, 3, -9, 3, -3, 5, 6, 9, 0, 1, 9, 9, -6, 6, -1, 18, 0, -4, -12, 6, 12, -9, -9, -9, 4, -3, -4, 6, 9, 3, 0, -15, -4, 0, 3, 12, 3, -15, -13, 3, 0, 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1, 1, 1, 1], [1, 1, 63, 15, 1, 6, 0]], "char_orbit_index": 38, "prim_orbit_index": 15, "minimal_twist": "315.2.bl.b", "char_is_minimal": true, "conrey_index": 41, "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, -2], [0, 1], [0, -1], [-3, 3], [-1, 3], [-1, 2], [-3, 0], [-1, 2], [-3, -3], [2, -1], [-6, 3], [4, -5], [-2, 1], [5, -5], [3, 0], [3, 3], [-2, 4], [1, -1], [5, -1], [0, 9], [-4, 2], [3, 0], [-1, 1], [9, 0], [-3, 6], [-3, 2], [-4, -4], [3, 0], [8, -4], [-6, 3], [-9, 9], [-3, -3], [3, -2], [0, -3], [-2, 0], [6, -6], [0, 9], [2, -1], [0, 0], [-6, -3], [-4, 4], [3, -6], [0, 3], [6, 0], [3, -3], [-5, -5], [-8, 3], [2, -1], [3, -6], [-3, -3], [-4, 8], [9, -9], 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