# Stored data for newform 625.2.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "625.2.a.d", "space_label": "625.2.a", "level": 625, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666545, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1554542093418954491, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -1, 1]], [3, [1, -3, 1]]], "qexp_display": "q+\\beta q^{2}+(1+\\beta )q^{3}+(-1+\\beta )q^{4}+(1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2500, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 4.990650126330024, "hecke_ring_index": 1, "level_radical": 5, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [625, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.024", "prec": 17}, {"__RealLiteral__": 0, "data": "0.093", "prec": 17}, {"__RealLiteral__": 0, "data": "10.082", "prec": 20}, {"__RealLiteral__": 0, "data": "0.741", "prec": 17}, {"__RealLiteral__": 0, "data": "69.498", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1]], "trace_display": [1, 3, 0, 1], "traces": [0, 2, 1, 3, -1, 0, 4, 1, 0, 1, 0, -1, 1, -2, 8, 0, -3, 6, 8, 5, 0, 9, 2, 3, -5, 0, -11, 0, 7, -10, 0, 4, -9, 1, -7, 0, 7, 6, -5, -13, 0, 4, 17, 8, 3, 0, -6, 21, -12, 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1, "minimal_twist": "625.2.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 1], [1, 1], [-1, 1], [0, 0], [1, 2], [-1, 3], [1, -2], [-1, 3], [0, 0], [-1, 1], [0, 1], [1, -4], [3, 2], [0, 0], [0, -3], [5, -4], [3, 2], [4, -3], [0, 0], [2, 5], [1, 0], [3, -3], [-1, -3], [0, 0], [-4, -3], [-1, 2], [4, -1], [-6, 2], [0, 0], [2, 0], [-5, 1], [0, 1], [-4, 1], [0, 0], [4, -1], [3, 0], [-3, 1], [-3, -7], [0, 0], [0, 4], [5, 7], [6, -4], [2, -1], [0, 0], [-3, 0], [10, 1], [-3, -6], [3, 3], [0, 0], [1, -3], [-5, 1], [2, 4], [2, 1], [0, 0], [-7, -1], [1, -2], [2, -4], [-1, -8], [0, 0], [-4, -3], [0, 2], [10, 3], [1, 2], [0, 0], [1, 1], [-5, -4], [-9, 5], [0, -3], [0, 0], [8, -7], [-7, -1], [-5, 3], [0, 3], [0, 0], [-7, 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