# Stored data for newform 261.12.a.a, downloaded from the LMFDB on 18 April 2024.
{"label": "261.12.a.a", "space_label": "261.12.a", "level": 261, "weight": 12, "hecke_orbit": 1, "hecke_orbit_code": 201326853, "dim": 11, "is_polredabs": true, "trace_hash": 2052689490046022308, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [937413686027223040, -52480495829254144, -2941272354394112, 170288442403840, 3367672715744, -187882927184, -1785306736, 82465976, 407614, -15325, -32, 1]]], "qexp_display": "q+(3-\\beta _{1})q^{2}+(832-6\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37584, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 200.53757012605269, "hecke_ring_index": 663552, "level_radical": 87, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [261, 1, [146, 118], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [3, 29], "conrey_indexes": [1], "field_disc": 809566985410684054476391497709898039515808270340033756608344475634073600, "field_disc_factorization": [[2, 15], [5, 2], [7, 1], [227, 1], [2711, 1], [174522179243, 1], [34496704318285068259, 1], [38104932538536246002661792721, 1]], "field_poly": [-758324542468966858, -65244901875230266, 1279291654973975, 193065378004825, -388180519304, -203974096304, -14008334, 87206462, 14666, -15790, -1, 1], "hecke_ring_index_factorization": [[2, 13], [3, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.652", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "258.360", "prec": 24}, {"__RealLiteral__": 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