# Stored data for newform 403.2.bt.a, downloaded from the LMFDB on 23 April 2024. {"label": "403.2.bt.a", "space_label": "403.2.bt", "level": 403, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3092410007955, "dim": 280, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 30, "char_parity": 1, "char_degree": 8, "char_conductor": 403, "char_orbit_label": "bt", "char_is_real": false, "Nk2": 1612, "analytic_conductor": 3.2179712014575994, "level_radical": 403, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [403, 30, [249, 313], [5, 8]], "inner_twist_count": 2, "level_primes": [13, 31], "conrey_indexes": [82, 134, 173, 205, 231, 348, 381, 400], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 35, "sato_tate_group": "1.2.3.c30", "trace_display": [-9, -3, 0, -15], "traces": [280, -9, -3, -35, 0, 0, -15, 45, 24, 3, 0, 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135, 5, 296, 213, -122], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 403, 46, 1, 30, 0]], "char_orbit_index": 46, "prim_orbit_index": 46, "minimal_twist": "403.2.bp.a", "char_is_minimal": true, "conrey_index": 82, "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, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}