# Stored data for newform 315.2.t.a, downloaded from the LMFDB on 25 April 2024.
{"label": "315.2.t.a", "space_label": "315.2.t", "level": 315, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1305703612731, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1370514155375875943, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 0, 1]]], "qexp_display": "q+(1-2\\zeta_{6})q^{2}+(-2+\\zeta_{6})q^{3}-q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "t", "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": "0.184", "prec": 17}, "analytic_rank_proved": true, "char_values": [315, 6, [281, 127, 136], [1, 6, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [3, 5, 7], "conrey_indexes": [101, 131], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.954", "prec": 17}, {"__RealLiteral__": 0, "data": "0.053", "prec": 17}, {"__RealLiteral__": 0, "data": "11.410", "prec": 20}, {"__RealLiteral__": 0, "data": "1.219", "prec": 17}, {"__RealLiteral__": 0, "data": "92.956", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [0, -3, 1, 4], "traces": [0, 2, 0, -3, -2, 1, 3, 4, 0, 3, -3, -6, 3, 12, 6, 0, -10, 6, -9, 0, -1, -9, 6, -9, 3, -1, -12, 0, -4, 0, 6, 0, 0, 6, -18, 5, -3, 2, 0, -12, -3, 6, -3, -1, 6, -3, -9, 18, 15, 2, -3, 0, -12, 6, 18, 0, 6, 0, 0, 0, 0, 0, -12, 15, -2, 0, -18, 10, -6, 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"char_is_minimal": true, "conrey_index": 101, "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, -2], [-2, 1], [-1, 0], [1, -1], [0, 3], [1, 2], [1, -2], [3, -3], [-1, -1], [-4, 2], [2, -1], [8, -4], [5, -4], [-1, 2], [-5, 0], [6, -6], [-3, -3], [0, 0], [-1, 1], [-4, -1], [0, 6], [-3, -3], [0, 3], [0, -1], [0, -12], [-3, 6], [-1, -2], [0, 0], [3, 0], [2, -4], [-3, 6], [6, -6], [-6, -6], [3, -1], [-3, 3], [0, 2], [0, 0], [-12, 12], [-1, -1], [0, 6], [-6, 9], [-1, 1], [4, -2], [0, -3], [-9, 9], [9, 0], [10, -5], [-3, 8], [-2, 1], [-6, 12], [-8, 4], [2, 2], [9, 0], [-2, 4], [5, -4], [0, 0], [0, 0], [0, 0], [1, -2], [-7, 14], [-6, 0], [9, -3], [-1, 0], [4, -8], [-6, -6], [5, 0], 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