# Stored data for newform 4225.2.a.w, downloaded from the LMFDB on 17 March 2026.
{"Nk2": 16900, "analytic_conductor": 33.736794853990965, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [13, 1]], "atkin_lehner_string": "++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [4225, 1, [677, 3551], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 12, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-3, 0, 1]], [3, [-2, 2, 1]], [7, [-2, 1]], [11, [6, -6, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191835709569, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "4225.2.a.w", "level": 4225, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [5, 13], "level_radical": 65, "minimal_twist": "65.2.a.c", "nf_label": "2.2.12.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta q^{2}+(-1+\\beta )q^{3}+q^{4}+(3-\\beta )q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4225.2.a", "trace_display": [0, -2, 0, 4], "trace_hash": 1837731387665765030, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.878", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", 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