# Stored data for newform 6010.2.a.c, downloaded from the LMFDB on 19 April 2024.
{"label": "6010.2.a.c", "space_label": "6010.2.a", "level": 6010, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288301434, "dim": 16, "is_polredabs": true, "trace_hash": 425118090516455867, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-19, 38, 268, -370, -1132, 979, 2183, -864, -2142, 71, 1015, 206, -204, -79, 9, 8, 1]]], "qexp_display": "q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24040, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 47.99009161478951, "hecke_ring_index": 1, "level_radical": 6010, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [6010, 1, [3607, 2411], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 601], "conrey_indexes": [1], "field_disc": 253230734443254958402636333, "field_disc_factorization": [[19, 1], [67, 1], [755077, 1], [1343863, 1], [196038681271, 1]], "field_poly": [-10, -41, 295, 244, -1344, -440, 2332, 164, -1986, 228, 872, -232, -178, 75, 9, -8, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.063", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "364.539", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "19618.664", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 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