# Stored data for newform 32.16.a.d, downloaded from the LMFDB on 24 January 2026.
{"Nk2": 8192, "analytic_conductor": 45.66192163197453, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 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": [32, 1, [31, 5], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 2657491200, "field_disc_factorization": [[2, 8], [3, 3], [5, 2], [7, 1], [13, 3]], "field_poly": [4329, -4680, -624, 0, 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": 1, "hecke_cutters": [[3, [249588051148800, 0, -40435200, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510799150546976, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 815372697600, "hecke_ring_index_factorization": [[2, 27], [3, 5], [5, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], "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": "32.16.a.d", "level": 32, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2], "level_radical": 2, "minimal_twist": "32.16.a.d", "nf_label": "4.4.2657491200.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{3}+(94630-\\beta _{2})q^{5}+(313\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "15.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "32.16.a", "trace_display": [0, 0, 378520, 0], "trace_hash": 2174409052683374149, "trace_moments": [{"__RealLiteral__": 0, "data": "0.101", "prec": 17}, 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