# Stored data for newform 984.2.f.b, downloaded from the LMFDB on 02 August 2026.
{"Nk2": 3936, "analytic_conductor": 7.85727955889399, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 8, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 2, "char_parity": 1, "char_values": [984, 2, [247, 493, 329, 457], [2, 1, 2, 2]], "cm_discs": [], "conrey_index": 493, "dim": 40, "has_non_self_twist": 1, "hecke_cutters": [[5, [12005146624, 0, 186402996224, 0, 1202825954304, 0, 4323823243776, 0, 9797379023424, 0, 14985646180480, 0, 16156018009600, 0, 12643121186560, 0, 7332998108176, 0, 3199456892576, 0, 1060978708288, 0, 269121373456, 0, 52357716024, 0, 7803829704, 0, 886077584, 0, 75765640, 0, 4782625, 0, 215576, 0, 6550, 0, 120, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503943258309592, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 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": "984.2.f.b", "level": 984, "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, 41], "level_radical": 246, "minimal_twist": "984.2.f.b", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "984.2.f", "trace_display": [2, 0, 0, 4], "traces": [40, 2, 0, 0, 0, 2, 4, 2, -40, -2, 0, 0, 0, 0, -24, 20, 0, -2, 0, -16, 0, 28, 24, -2, -40, -2, 0, -32, 0, 8, 8, 2, 0, -32, 0, 0, 0, 14, 36, 50, -40, 0, 0, -20, 0, 36, -36, 0, 48, -26, 0, -52, 0, -2, 16, 32, -8, -40, 0, -10, 0, 8, -4, 48, 0, 8, 0, -50, 0, 36, 60, -2, 8, -36, 0, -48, 0, -12, -20, 32, 40, -2, 0, 8, 0, 20, 20, 96, -24, 2, 0, -56, 0, 20, -24, 2, 0, 42, 0, -102, 0, -10, 0, 78, 8, -20, 0, 0, 0, -56, -72, 56, 32, 32, 0, -4, 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"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}