# Stored data for newform 429.2.bi.a, downloaded from the LMFDB on 18 April 2024. {"label": "429.2.bi.a", "space_label": "429.2.bi", "level": 429, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2336495763885, "dim": 416, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 20, "char_parity": 1, "char_degree": 8, "char_conductor": 429, "char_orbit_label": "bi", "char_is_real": false, "Nk2": 1716, "analytic_conductor": 3.4255822467129287, "level_radical": 429, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [429, 20, [287, 79, 67], [10, 8, 15]], "inner_twist_count": 8, "level_primes": [3, 11, 13], "conrey_indexes": [5, 47, 86, 125, 203, 278, 317, 356], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 52, "sato_tate_group": "1.2.3.c20", "trace_display": [0, -12, 0, -12], "traces": [416, 0, -12, 0, 0, -14, -12, 0, 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-896, 0, 0, 1368, 0, -196, -516, 0, 0, -260, 0, 316, 8, 0, 1744, 0, 0, 158, 124, 0, 544, 0, 0, 0, 768, 0, -1030, -272, 0, 224, -256, 0, 92, 440, 0, 416, 0], "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, 3, 2, -1, 2, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 13, 4, -1, 4, 0], [1, 1, 33, 8, -1, 10, 0], [1, 1, 39, 6, 1, 4, 0], [1, 1, 143, 18, -1, 20, 0], [1, 1, 429, 35, 1, 20, 0]], "char_orbit_index": 35, "prim_orbit_index": 35, "minimal_twist": "429.2.bi.a", "char_is_minimal": true, "conrey_index": 5, "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}