# Stored data for newform 8281.2.a.ch, downloaded from the LMFDB on 19 April 2024.
{"label": "8281.2.a.ch", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 60, "hecke_orbit_code": 265712378048421977, "dim": 6, "is_polredabs": true, "nf_label": "6.6.7674048.1", "trace_hash": 145883652616702801, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -8, -4, 12, 0, -4, 1]], [3, [4, -20, 25, 2, -11, 0, 1]], [5, [-59, 128, -2, -50, -2, 6, 1]], [11, [16, 72, 85, 16, -17, -4, 1]], [17, [-491, -224, 167, 60, -21, -4, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+\\beta _{4}q^{3}+(1-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33124, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 66.12411791382229, "hecke_ring_index": 1, "level_radical": 91, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8281, 1, [1522, 3382], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 7674048, "field_disc_factorization": [[2, 6], [3, 3], [4441, 1]], "field_poly": [-2, -6, 7, 8, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.435", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "84.908", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2214.815", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", 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