# Stored data for newform 4026.2.a.s, downloaded from the LMFDB on 16 April 2024.
{"label": "4026.2.a.s", "space_label": "4026.2.a", "level": 4026, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326227386, "dim": 4, "is_polredabs": true, "nf_label": "4.4.26825.1", "trace_hash": 1581513360073224700, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [38, 25, -12, -3, 1]], [7, [-4, -17, -11, 2, 1]], [13, [-514, 133, 34, -13, 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": "0.006", "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": 26825, "field_disc_factorization": [[5, 2], [29, 1], [37, 1]], "field_poly": [5, 5, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.087", "prec": 17}, {"__RealLiteral__": 0, "data": "3.742", "prec": 17}, {"__RealLiteral__": 0, "data": "0.800", "prec": 17}, {"__RealLiteral__": 0, "data": "36.973", "prec": 20}, {"__RealLiteral__": 0, "data": "12.779", "prec": 20}, {"__RealLiteral__": 0, "data": "536.814", "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, 3, -2], "traces": [0, 4, 4, -4, 4, 3, -4, 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