# Stored data for newform 529.4.a.g, downloaded from the LMFDB on 14 July 2025.
{"Nk2": 8464, "analytic_conductor": 31.212010393036785, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[23, -1]], "atkin_lehner_string": "-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [529, 1, [5], [1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 334189, "field_disc_factorization": [[334189, 1]], "field_poly": [4, -5, -16, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [2, 61, -24, -2, 1]], [3, [-152, 131, -13, -7, 1]], [5, [-19904, -4832, -244, 14, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597831332369, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "529.4.a.g", "level": 529, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [23], "level_radical": 23, "minimal_twist": "23.4.a.b", "nf_label": "4.4.334189.1", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta _{3})q^{2}+(1+\\beta _{1}+\\beta _{2})q^{3}+(6+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "529.4.a", "trace_display": [2, 7, -14, -16], "trace_hash": 311747125782469514, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.720", "prec": 17}, 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