# Stored data for newform 224.2.a.d, downloaded from the LMFDB on 25 March 2023. {"level_primes": [2, 7], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 673948960568800778, "level_radical": 14, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 4, "analytic_conductor": 1.7886490052766806, "inner_twist_count": 1, "field_disc_factorization": [[5, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "224.2.a.d", "field_poly_is_real_cyclotomic": true, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "224.2.a.c", "field_poly_is_cyclotomic": false, "dim": 2, "trace_zratio": {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, "traces": [0, 2, 0, 2, 0, 2, 0, -2, 0, 6, 0, 4, 0, 6, 0, -8, 0, 0, 0, -2, 0, -2, 0, -8, 0, 2, 0, 20, 0, 0, 0, -4, 0, -16, 0, -2, 0, 0, 0, 16, 0, -8, 0, -4, 0, 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"qexp_display": "q+(1+\\beta )q^{3}+(1-\\beta )q^{5}-q^{7}+(3+2\\beta )q^{9}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 5, "level_is_prime_power": false, "relative_dim": 2, "hecke_cutters": [[3, [-4, -2, 1]]], "space_label": "224.2.a", "level": 224, "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": 3, "hecke_orbit_code": 13510798915666144, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.227", "prec": 17}, {"__RealLiteral__": 0, "data": "9.722", "prec": 17}, {"__RealLiteral__": 0, "data": "1.997", "prec": 17}, {"__RealLiteral__": 0, "data": "65.498", "prec": 20}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": 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