# Stored data for newform 105.3.w.a, downloaded from the LMFDB on 27 April 2025.
{"Nk2": 945, "analytic_conductor": 2.8610427757831176, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 105, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 23, "char_orbit_label": "w", "char_order": 12, "char_parity": -1, "char_values": [105, 12, [71, 22, 31], [6, 3, 2]], "cm_discs": [], "conrey_index": 17, "dim": 112, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1511878819945, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 15, 5, 1, 4, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 35, 11, 1, 12, 0], [1, 1, 105, 23, -1, 12, 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": "105.3.w.a", "level": 105, "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": true, "level_primes": [3, 5, 7], "level_radical": 105, "minimal_twist": "105.3.w.a", "prim_orbit_index": 23, "related_objects": [], "relative_dim": 28, "rm_discs": [], "sato_tate_group": "2.2.3.c12", "self_twist_discs": [], "self_twist_type": 0, "space_label": "105.3.w", "trace_display": [0, -6, 0, -16], "traces": [112, 0, -6, 0, 0, 0, -16, 0, 0, -60, 0, -30, 0, 0, -20, 120, 0, 46, 0, 0, -96, -80, 0, 0, 28, 0, 0, -136, 0, -80, -24, 0, -36, 0, 0, -272, 60, 0, 0, -72, 0, 338, -48, 0, 384, 40, 0, 0, 0, 0, 176, -204, 0, 0, 0, 0, 344, -284, 0, -214, -912, 0, 132, 0, 0, -444, -36, 0, 0, 208, 0, -638, 708, 0, 42, 0, 0, 664, 0, 0, 8, 1104, 0, 0, 264, 0, 246, 180, 0, 0, 632, 0, 196, 0, 0, 2184, 0, 0, 0, 476, 0, -392, 24, 0, 92, 1040, 0, -1788, 0, 0, 0, -1824, 0, 0, -792, 0, -1788, 0, 0, -2088, -848, 0, -258, 0, 0, -792, -824, 0, 0, 104, 0, 0, 448, 0, -328, 816, 0, -354, 0, 0, -1688, 1804, 0, 0, -360, 0, 1304, 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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}