# Stored data for newform 666.2.k.a, downloaded from the LMFDB on 12 December 2025.
{"Nk2": 2664, "analytic_conductor": 5.318036774617274, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 333, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 6, "char_parity": 1, "char_values": [666, 6, [371, 631], [2, 1]], "cm_discs": [], "conrey_index": 175, "dim": 76, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 687228322458, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 333, 11, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "666.2.k.a", "level": 666, "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, 37], "level_radical": 222, "minimal_twist": "666.2.k.a", "prim_orbit_index": 11, "related_objects": [], "relative_dim": 38, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "666.2.k", "trace_display": [0, 4, 0, -2], "traces": [76, 0, 4, -76, 0, 0, -2, 0, -4, 0, -4, -4, 0, 0, 12, 76, 0, 0, 0, 0, 6, 0, 12, 0, -100, -24, 4, 2, 18, -12, 6, 0, -32, 0, -18, 4, 10, 12, 24, 0, 72, 6, 6, 4, 12, 0, -20, 4, -36, 0, -18, 0, 14, 36, 0, 0, 42, 0, -6, -12, 0, -16, 46, -76, 32, 0, 40, 0, 6, 0, 2, 0, 28, -2, -78, 0, -24, -2, 6, 0, -28, 0, -64, -6, -12, 4, -78, 0, 60, -16, 42, -12, 6, 0, -14, 0, -12, -24, -76, 100, -52, -4, -18, 24, 96, 0, -18, -4, -6, -62, 14, -2, -60, -40, 0, -18, 96, 0, 18, 12, -38, 16, 52, -6, 0, -66, 2, 0, -24, 0, -18, 32, 0, 0, -72, 0, 50, 28, -2, 18, 66, 0, 126, -4, -24, 0, -104, -10, 28, 0, 14, -12, 72, 0, -96, -24, 4, 8, 48, 0, -54, -24, -18, -72, -150, 0, 0, -6, -104, -18, 120, -6, 56, 22, 14, -4, 24, 0, 0, -12, 10, 72, 42, 0, 74, 84, 0, 20, 78, 36, 114, -4, 42, 64, 192, 36, 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"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}