# Stored data for newform 1840.4.a.ba, downloaded from the LMFDB on 24 April 2024.
{"label": "1840.4.a.ba", "space_label": "1840.4.a", "level": 1840, "weight": 4, "hecke_orbit": 27, "hecke_orbit_code": 117093590378743600, "dim": 10, "is_polredabs": true, "trace_hash": 43539901108213113, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [57408, -864576, 2423016, -383603, -298243, 33828, 12246, -762, -192, 5, 1]], [7, [-2101566628800, 344614205160, 48504293896, -4276110998, -395834563, 16807960, 1329984, -26286, -1932, 14, 1]]], "qexp_display": "q-\\beta _{1}q^{3}+5q^{5}+(-1-\\beta _{1}+\\beta _{6})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29440, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 108.56351441056273, "hecke_ring_index": 128, "level_radical": 230, "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": [1840, 1, [1151, 1381, 737, 1201], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 8254340832498504879708686639805381, "field_disc_factorization": [[3, 3], [97, 1], [107, 1], [881, 1], [138101, 1], [284235857, 1], [851748790121, 1]], "field_poly": [57408, 864576, 2423016, 383603, -298243, -33828, 12246, 762, -192, -5, 1], "hecke_ring_index_factorization": [[2, 7]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.123", "prec": 17}, {"__RealLiteral__": 0, "data": "8.581", "prec": 17}, {"__RealLiteral__": 0, "data": "0.661", "prec": 17}, {"__RealLiteral__": 0, "data": "212.962", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8463.068", "prec": 27}], 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