# Stored data for newform 225.2.k.b, downloaded from the LMFDB on 26 January 2023. {"level_primes": [3, 5], "is_polredabs": true, "sato_tate_group": "1.2.3.c6", "rm_discs": [], "conrey_indexes": [49, 124], "cm_discs": [], "trace_hash": 181523116808428846, "level_radical": 15, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 10, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 1.7966340454788086, "inner_twist_count": 4, "field_disc_factorization": [[2, 16], [3, 6], [47, 4]], "is_rm": false, "char_order": 6, "level_is_square": true, "weight_parity": 1, "label": "225.2.k.b", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "45.2.e.b", "field_poly_is_cyclotomic": false, "dim": 12, "trace_zratio": {"__RealLiteral__": 0, "data": "0.511", "prec": 17}, "traces": [0, 12, 0, 0, 10, 0, -8, 0, 0, 14, 0, 4, 0, 0, -18, 0, -10, 0, 0, -16, 0, 0, 0, 0, -30, 0, -8, 0, 0, -14, 0, -16, 0, 0, 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"level_is_prime": false, "char_is_minimal": false, "qexp_display": "q+(\\beta _{1}+\\beta _{6}-\\beta _{7})q^{2}+\\beta _{6}q^{3}+(2+2\\beta _{8}+\\cdots)q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": 233130390257664, "level_is_prime_power": false, "relative_dim": 6, "hecke_cutters": [[2, [81, 0, -279, 0, 862, 0, -323, 0, 90, 0, -11, 0, 1]]], "space_label": "225.2.k", "level": 225, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], "char_degree": 2, "char_conductor": 45, "char_orbit_index": 11, "hecke_ring_generator_nbound": 7, "hecke_orbit_code": 4504286855692513, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.164", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1090.965", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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