# Stored data for newform 225.6.a.v, downloaded from the LMFDB on 24 April 2024.
{"label": "225.6.a.v", "space_label": "225.6.a", "level": 225, "weight": 6, "hecke_orbit": 22, "hecke_orbit_code": 94575592275443937, "dim": 4, "is_polredabs": true, "nf_label": "4.4.78400.1", "trace_hash": 391879627876879268, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-20, 0, 1]], [7, [-50400, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-12q^{4}-\\beta _{2}q^{7}+44\\beta _{1}q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8100, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 36.08635945792064, "hecke_ring_index": 28800, "level_radical": 15, "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": "0.761", "prec": 17}, "analytic_rank_proved": true, "char_values": [225, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 4, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 78400, "field_disc_factorization": [[2, 6], [5, 2], [7, 2]], "field_poly": [155, 30, -29, -2, 1], "hecke_ring_index_factorization": [[2, 7], [3, 2], [5, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "3.656", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "112.845", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4422.417", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 4, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1984, 0, 0, 1936, 0, 0, 0, 0, 0, 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