# Stored data for newform 349.2.b.b, downloaded from the LMFDB on 18 April 2024. {"label": "349.2.b.b", "space_label": "349.2.b", "level": 349, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503668380402013, "dim": 26, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [110827, 0, 874838, 0, 2960112, 0, 5686545, 0, 6932570, 0, 5678175, 0, 3223971, 0, 1288987, 0, 364188, 0, 72085, 0, 9752, 0, 857, 0, 44, 0, 1]]], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 349, "char_orbit_label": "b", "char_is_real": true, "Nk2": 1396, "analytic_conductor": 2.7867790305426854, "level_radical": 349, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [349, 2, [2], [1]], "inner_twist_count": 2, "level_primes": [349], "conrey_indexes": [348], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 26, "sato_tate_group": 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28, 206, 0, -80, 0, 0, 0, 62, 0, 0, 242, -150, 0, 0, 0, 0, 608, 0, 344, 200, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 349, 2, 1, 2, 0]], "char_orbit_index": 2, "prim_orbit_index": 2, "minimal_twist": "349.2.b.b", "char_is_minimal": true, "conrey_index": 348, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, 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