# Stored data for newform 4026.2.a.x, downloaded from the LMFDB on 18 April 2024.
{"label": "4026.2.a.x", "space_label": "4026.2.a", "level": 4026, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463079866, "dim": 6, "is_polredabs": true, "nf_label": "6.6.46101901.1", "trace_hash": 1428366201807254852, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-4, 18, 17, -33, -1, 6, 1]], [7, [16, 75, 76, 0, -18, -1, 1]], [13, [2, 35, 69, 22, -18, -2, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+(-1+\\beta _{3})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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [4026, 1, [1343, 1465, 3235], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 11, 61], "conrey_indexes": [1], "field_disc": 46101901, "field_disc_factorization": [[46101901, 1]], "field_poly": [-2, -5, 6, 12, -5, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.437", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "85.288", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2204.064", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, 1], [61, -1]], "trace_display": [6, -6, -6, 1], "traces": [0, 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