# Stored data for newform 4205.2.a.j, downloaded from the LMFDB on 26 April 2025.
{"Nk2": 16820, "analytic_conductor": 33.5770940499484, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [29, 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": [4205, 1, [842, 3366], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 942577, "field_disc_factorization": [[942577, 1]], "field_poly": [-3, 5, 8, -7, -1, 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, [-3, 5, 8, -7, -1, 1]], [3, [57, 34, -21, -12, 2, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396679893101, "hecke_ring_generator_nbound": 2, "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": true, "label": "4205.2.a.j", "level": 4205, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 29], "level_radical": 145, "minimal_twist": "4205.2.a.i", "nf_label": "5.5.942577.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(-1+\\beta _{1}+\\beta _{4})q^{3}+(1+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4205.2.a", "trace_display": [1, -2, -5, 1], "trace_hash": 1121724335866928132, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.873", "prec": 17}, 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