# Stored data for newform 31734.2.a.bf, downloaded from the LMFDB on 14 July 2026.
{"Nk2": 126936, "analytic_conductor": 253.39726577433117, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [41, -1], [43, -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": [31734, 1, [14105, 30961, 22879], [32, 32, 32]], "cm_discs": [], "conrey_index": 1, "dim": 16, "field_poly": [256, 1984, -1504, -17770, 18381, 25672, -26465, -16624, 14582, 5599, -3901, -998, 539, 88, -37, -3, 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_orbit": 32, "hecke_orbit_code": 139611588482071542, "inner_twist_count": -1, "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "31734.2.a.bf", "level": 31734, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 41, 43], "level_radical": 10578, "prim_orbit_index": 1, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "31734.2.a", "trace_display": [-16, 0, 13, -4], "traces": [16, -16, 0, 16, 13, 0, -4, -16, 0, -13, 4, 0, -12, 4, 0, 16, 12, 0, -1, 13, 0, -4, 8, 0, 13, 12, 0, -4, 6, 0, 7, -16, 0, -12, 20, 0, 21, 1, 0, -13, 16, 0, 16, 4, 0, -8, -2, 0, 18, -13, 0, -12, 23, 0, -2, 4, 0, -6, 31, 0, 8, -7, 0, 16, 19, 0, -16, 12, 0, -20, 13, 0, -28, -21, 0, -1, 48, 0, 45, 13, 0, -16, 19, 0, 12, -16, 0, -4, 40, 0, -15, 8, 0, 2, -12, 0, -56, -18, 0, 13], "weight": 2, "weight_parity": 1, "id": null, "analytic_rank": null, "analytic_rank_proved": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "hecke_cutters": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "inner_twists": null, "is_twist_minimal": null, "level_is_powerful": null, "level_is_prime_square": null, "minimal_twist": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}