# Stored data for newform 3328.1.t.d, downloaded from the LMFDB on 27 December 2024.
{"Nk2": 3328, "analytic_conductor": 1.660888362042632, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 13, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 4, "char_parity": -1, "char_values": [3328, 4, [1535, 261, 769], [4, 4, 1]], "cm_discs": [], "conrey_index": 2049, "dim": 4, "field_disc": 256, "field_disc_factorization": [[2, 8]], "field_poly": [1, 0, 0, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 8, "has_non_self_twist": 1, "hecke_cutters": [[3, [-1, 1]], [5, [1, 0, 0, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13512104568950016, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, 0], [1, 1, 13, 4, -1, 4, 0], [1, 1, 104, 13, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "3328.1.t.d", "level": 3328, "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": [2, 13], "level_radical": 26, "minimal_twist": "1664.1.j.c", "nf_label": "4.0.256.1", "prim_orbit_index": 4, "projective_field": [-17, 6, 8, -2, 1], "projective_field_label": "4.2.70304.1", "projective_image": "S4", "projective_image_type": "S4", "qexp_display": "q+q^{3}-\\zeta_{8}q^{5}+\\zeta_{8}^{3}q^{7}+(-1+\\zeta_{8}^{2}+\\cdots)q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "self_twist_discs": [], "self_twist_type": 0, "space_label": "3328.1.t", "trace_display": [0, 4, 0, 0], "traces": [0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 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