# Stored data for newform 847.2.n.k, downloaded from the LMFDB on 07 December 2025.
{"Nk2": 3388, "analytic_conductor": 6.763329051202448, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 77, "char_degree": 8, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 14, "char_orbit_label": "n", "char_order": 15, "char_parity": 1, "char_values": [847, 15, [122, 365], [5, 9]], "cm_discs": [], "conrey_index": 9, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [[2, [5764801, 0, -12353145, 0, 6588344, 0, 16017071, 0, -36087030, 0, 50452556, 0, -22987517, 0, -63525665, 0, 139605180, 0, -75214812, 0, -228864, 0, 24150817, 0, -17017320, 0, 7383676, 0, 285350, 0, -2405993, 0, 1277683, 0, -155171, 0, -12948, 0, 7678, 0, -1384, 0, 166, 0, 15, 0, -8, 0, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45036889660457807, "inner_twist_count": 16, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 11, 2, -1, 2, 0], [1, 3, 11, 3, 1, 5, 0], [1, 3, 11, 4, -1, 10, 0], [1, 1, 77, 8, -1, 6, 0], [1, 3, 77, 13, 1, 15, 0], [1, 3, 77, 15, -1, 30, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "847.2.n.k", "level": 847, "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": [7, 11], "level_radical": 77, "minimal_twist": "847.2.e.e", "prim_orbit_index": 13, "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c15", "self_twist_discs": [], "self_twist_type": 0, "space_label": "847.2.n", "trace_display": [0, -2, -4, 0], "traces": [48, 0, -2, 4, -4, 0, 0, 0, 8, 0, 0, 56, 0, -20, -28, -4, 0, 0, 0, 56, 0, 0, 16, 0, -2, 6, -32, 0, 0, 0, -14, 0, 0, 0, 0, -36, -4, -4, 0, 0, 0, -24, 0, 0, 72, 0, -22, 48, -12, 0, 0, 0, -14, 0, 0, -72, 0, 46, -16, 60, 0, 0, 0, -4, 0, 0, 48, 0, 124, 22, 52, 0, 0, 0, -50, 0, 0, -320, 0, -10, -42, 62, 0, 0, 0, -18, 0, 0, 24, 0, 46, 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0, 0, -44, 0, 0, -528, 0, 28, 114, -12, 0, 0, 0, -78, 0, 0, -176, 0, 178, -44, -28, 0, 0, 0, 108, 0, 0, 344, 0, -38, 256, 22, 0, 0, 0, -48, 0, 0, -240, 0, -512, 66, -76, 0, 0, 0, -120, 0, 0, -192, 0, 24, 16, -140, 0, 0, 0, -2, 0, 0, -160, 0, -144, 24, 90, 0, 0, 0, -72, 0, 0, 384, 0, 140, -176, 376, 0, 0, 0, 120, 0, 0, 880, 0, 396, 24, -80, 0, 0, 0, 308, 0, 0, 304, 0, 48, -360, -40, 0, 0, 0, -16, 0, 0, -1136, 0, 60, -260, -230, 0, 0, 0, 116, 0, 0, -568, 0, -100, 150, 264, 0, 0, 0, 40, 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}