# Stored data for newform 532.2.k.b, downloaded from the LMFDB on 22 December 2024.
{"Nk2": 2128, "analytic_conductor": 4.248041387532116, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 133, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 3, "char_parity": 1, "char_values": [532, 3, [267, 381, 477], [3, 1, 1]], "cm_discs": [], "conrey_index": 121, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[3, [16, -476, 16893, 78341, 505002, 54911, 966081, 77645, 1200945, 21711, 843683, 43964, 413343, 15827, 127765, 5866, 28421, 1063, 4117, 193, 425, 15, 26, 1, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504286855692820, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 133, 8, 1, 3, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "532.2.k.b", "level": 532, "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, 7, 19], "level_radical": 266, "minimal_twist": "532.2.k.b", "prim_orbit_index": 8, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "532.2.k", "trace_display": [0, -1, 12, -6], "traces": [24, 0, -1, 0, 12, 0, -6, 0, -15, 0, 1, 0, -7, 0, -2, 0, 3, 0, -19, 0, 12, 0, 8, 0, 16, 0, 20, 0, -22, 0, -7, 0, -14, 0, 18, 0, 9, 0, 12, 0, -11, 0, -9, 0, -28, 0, 11, 0, -32, 0, 8, 0, 14, 0, -11, 0, 11, 0, -8, 0, -6, 0, -37, 0, 3, 0, 54, 0, 108, 0, -13, 0, -10, 0, 25, 0, 2, 0, 28, 0, -40, 0, -12, 0, -19, 0, 19, 0, -37, 0, -39, 0, -10, 0, 2, 0, -21, 0, -27, 0, -4, 0, -2, 0, 9, 0, 3, 0, 33, 0, -48, 0, 8, 0, 5, 0, 16, 0, 74, 0, -47, 0, -34, 0, -6, 0, 9, 0, 56, 0, -54, 0, 31, 0, -16, 0, 14, 0, -43, 0, -64, 0, -116, 0, -1, 0, -98, 0, -38, 0, 12, 0, 30, 0, -14, 0, 3, 0, 31, 0, 65, 0, 52, 0, 190, 0, 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0, 104, 0, 11, 0, -496, 0, -20, 0, -97, 0, -118, 0, -55, 0, 126, 0, 124, 0, 162, 0, 63, 0, 546, 0, -163, 0, -163, 0, -141, 0, 300, 0, 136, 0, 231, 0, -160, 0, 37, 0, 42, 0, 134, 0, 42, 0, 116, 0, -45, 0, -156, 0, -174, 0, 256, 0, -194, 0, -10, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": 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}