# Stored data for newform 6025.2.a.f, downloaded from the LMFDB on 29 March 2024. {"label": "6025.2.a.f", "space_label": "6025.2.a", "level": 6025, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170412937, "dim": 7, "is_polredabs": true, "nf_label": "7.7.31056073.1", "trace_hash": 1227281761954412985, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 3, -6, -10, 14, 0, -4, 1]], [3, [-1, 8, -14, -4, 19, -5, -3, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}-\\beta _{6}q^{3}+(1-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24100, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 48.10986721782143, "hecke_ring_index": 1, "level_radical": 1205, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [6025, 1, [2652, 2176], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 241], "conrey_indexes": [1], "field_disc": 31056073, "field_disc_factorization": [[1489, 1], [20857, 1]], "field_poly": [1, 0, -9, 1, 11, -3, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.209", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "110.436", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3028.851", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], 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