# Stored data for newform 1008.1.dd.a, downloaded from the LMFDB on 13 May 2025.
{"Nk2": 1008, "analytic_conductor": 0.5030575327340664, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 252, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 82, "char_orbit_label": "dd", "char_order": 6, "char_parity": -1, "char_values": [1008, 6, [127, 757, 785, 577], [3, 6, 4, 2]], "cm_discs": [], "conrey_index": 79, "dim": 4, "field_disc": 144, "field_disc_factorization": [[2, 4], [3, 2]], "field_poly": [1, 0, -1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 12, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 5566294393840, "hecke_ring_generator_nbound": 3, "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, 4, 2, -1, 2, 0], [1, 1, 63, 7, 1, 3, 0], [1, 1, 252, 38, -1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "1008.1.dd.a", "level": 1008, "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, 3, 7], "level_radical": 42, "minimal_twist": "1008.1.bw.a", "nf_label": "4.0.144.1", "prim_orbit_index": 38, "projective_field": [20, -4, 6, -2, 1], "projective_field_label": "4.0.63504.1", "projective_image": "A4", "projective_image_type": "A4", "qexp_display": "q+\\zeta_{12}^{5}q^{3}-q^{5}+\\zeta_{12}q^{7}-\\zeta_{12}^{4}q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "self_twist_discs": [], "self_twist_type": 0, "space_label": "1008.1.dd", "trace_display": [0, 0, -4, 0], "traces": [0, 4, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 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