# Stored data for newform 8025.2.a.bf, downloaded from the LMFDB on 24 April 2024.
{"label": "8025.2.a.bf", "space_label": "8025.2.a", "level": 8025, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139611588482047833, "dim": 12, "is_polredabs": true, "trace_hash": 1820430289651404260, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-6, -15, 267, 529, -127, -649, -92, 278, 71, -49, -15, 3, 1]], [7, [2452, -2125, -9891, 13857, 1487, -7966, 496, 1958, -24, -228, -22, 7, 1]], [11, [-241932, 283848, 127197, -219209, 1170, 57130, -8630, -5905, 1231, 259, -61, -4, 1]], [13, [1536, -15744, 30720, 1600, -34752, 4272, 14736, 600, -2459, -606, 2, 13, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32100, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 64.07994762207751, "hecke_ring_index": 1, "level_radical": 1605, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8025, 1, [5351, 1927, 751], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 5, 107], "conrey_indexes": [1], "field_disc": 28182887645459836530861, "field_disc_factorization": [[3, 3], [31, 1], [1326989, 1], [25374220437677, 1]], "field_poly": [-6, 15, 267, -529, -127, 649, -92, -278, 71, 49, -15, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.745", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "275.621", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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