# Stored data for newform 117.3.n.a, downloaded from the LMFDB on 15 January 2025.
{"Nk2": 1053, "analytic_conductor": 3.1880190930154737, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 117, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 14, "char_orbit_label": "n", "char_order": 6, "char_parity": -1, "char_values": [117, 6, [92, 28], [1, 3]], "cm_discs": [], "conrey_index": 38, "dim": 52, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 893403529333, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 117, 14, -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": "117.3.n.a", "level": 117, "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": [3, 13], "level_radical": 39, "minimal_twist": "117.3.n.a", "prim_orbit_index": 14, "related_objects": [], "relative_dim": 26, "rm_discs": [], "sato_tate_group": "2.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "117.3.n", "trace_display": [0, -4, 0, 0], "traces": [52, 0, -4, -50, 0, 0, 0, 0, 4, 8, 0, -38, -6, -6, 0, -90, 0, 0, 0, 0, 0, 14, 138, 0, -92, 0, -76, 0, 48, 186, 0, 0, 0, 0, 0, -154, 0, 324, -2, -68, 0, -216, 62, 0, 0, 0, 0, 230, 70, 0, 90, -4, 0, 0, 92, -276, 0, 0, 0, 0, 12, 0, 0, 12, -588, 762, 0, -144, -414, 0, 0, 0, 0, 342, -620, 0, -510, -162, -24, 0, 532, -292, 0, 0, 0, 0, -330, -62, 0, 258, 264, -396, 0, -160, 504, 0, 0, 0, 0, 500, 300, 0, -184, 1302, -210, 0, 0, 652, 0, 0, 0, 0, -816, 1266, 0, 0, -22, -256, 0, -870, 148, 0, 0, 0, 0, -1080, 240, 0, -596, 98, 786, 0, 534, 0, 0, 0, 0, 0, 44, -1908, 0, 524, 0, -2642, 0, -234, 86, 0, 0, 0, 0, 0, 1098, 0, 1290, 434, 338, 0, 744, -378, 0, 0, 0, 0, 960, 14, 0, 2256, -26, 0, 0, -568, -2382, 0, 0, 0, 0, 2, 0, 0, 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"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}