# Stored data for newform 10000.2.a.u, downloaded from the LMFDB on 16 April 2024. {"label": "10000.2.a.u", "space_label": "10000.2.a", "level": 10000, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580974352, "dim": 4, "is_polredabs": true, "nf_label": "4.4.18625.1", "trace_hash": 2194503853455164998, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [41, -9, -14, 1, 1]], [7, [-44, 78, -21, -3, 1]], [11, [-144, -108, -1, 8, 1]]], "qexp_display": "q+(\\beta _{1}-\\beta _{2})q^{3}+(2-2\\beta _{2}-\\beta _{3})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 40000, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 79.85040202128039, "hecke_ring_index": 1, "level_radical": 10, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [10000, 1, [8751, 2501, 9377], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 18625, "field_disc_factorization": [[5, 3], [149, 1]], "field_poly": [41, 9, -14, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.128", "prec": 17}, {"__RealLiteral__": 0, "data": "3.642", "prec": 17}, {"__RealLiteral__": 0, "data": "0.522", "prec": 17}, {"__RealLiteral__": 0, "data": "38.472", "prec": 20}, {"__RealLiteral__": 0, "data": "5.002", "prec": 17}, {"__RealLiteral__": 0, "data": "624.725", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], 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