# Stored data for newform 8025.2.a.bc, downloaded from the LMFDB on 25 April 2024.
{"label": "8025.2.a.bc", "space_label": "8025.2.a", "level": 8025, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599936345, "dim": 10, "is_polredabs": true, "trace_hash": 940453023707078098, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 10, 5, -126, -65, 101, 51, -26, -13, 2, 1]], [7, [-343, -1626, 4219, -470, -2904, 494, 698, -22, -48, 0, 1]], [11, [53491, -106627, -33364, 78964, 45332, 2709, -3089, -653, 13, 14, 1]], [13, [-3008, -5088, 127664, 30712, -35940, -4210, 3001, 204, -94, -3, 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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [8025, 1, [5351, 1927, 751], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 107], "conrey_indexes": [1], "field_disc": 14692707868964581, "field_disc_factorization": [[1086443, 1], [13523680367, 1]], "field_poly": [1, -10, 5, 126, -65, -101, 51, 26, -13, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.217", "prec": 17}, {"__RealLiteral__": 0, "data": "1.129", "prec": 17}, {"__RealLiteral__": 0, "data": "251.020", "prec": 24}, {"__RealLiteral__": 0, "data": "159.275", "prec": 24}, {"__RealLiteral__": 0, "data": "10661.264", "prec": 30}], "related_objects": 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