# Stored data for newform 4026.2.a.t, downloaded from the LMFDB on 20 April 2024.
{"label": "4026.2.a.t", "space_label": "4026.2.a", "level": 4026, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953597882, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2777.1", "trace_hash": 2056423633168765282, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-1, -7, 1, 4, 1]], [7, [-8, -5, 7, 6, 1]], [13, [-22, -39, -12, 5, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+(-1-\\beta _{2})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16104, "fricke_eigenval": 1, "atkin_lehner_string": "--++", "analytic_conductor": 32.14777185376748, "hecke_ring_index": 1, "level_radical": 4026, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [4026, 1, [1343, 1465, 3235], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 11, 61], "conrey_indexes": [1], "field_disc": 2777, "field_disc_factorization": [[2777, 1]], "field_poly": [2, 1, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.676", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.363", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "578.517", "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], [3, -1], [11, 1], [61, 1]], "trace_display": [4, 4, -4, -6], "traces": [0, 4, 4, 4, 4, -4, 4, -6, 4, 4, -4, -4, 4, -5, -6, -4, 4, 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