# Stored data for newform 525.2.bf.f, downloaded from the LMFDB on 24 April 2024. {"label": "525.2.bf.f", "space_label": "525.2.bf", "level": 525, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22520128474186253, "dim": 48, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [10000, 0, 0, 0, -1118000, 0, 0, 0, 122918800, 0, 0, 0, -229926880, 0, 0, 0, 323534556, 0, 0, 0, -164139168, 0, 0, 0, 58992592, 0, 0, 0, -11151456, 0, 0, 0, 1495233, 0, 0, 0, -84374, 0, 0, 0, 3423, 0, 0, 0, -70, 0, 0, 0, 1]], [13, [30976, -49280, 39200, -15848, 6361, -4826, 3682, -1504, 334, -26, 8, -4, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 105, "char_orbit_label": "bf", "char_is_real": false, "Nk2": 2100, "analytic_conductor": 4.19214610611722, "level_radical": 105, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [525, 12, [176, 127, 451], [6, 3, 8]], 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-160, 72, 0, 0, -128, 0, -288, 0, 0, 48, 276, 0, 0, 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": false, "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, 3, 1, 3, 0], [1, 1, 15, 5, 1, 4, 0], [1, 1, 21, 8, -1, 6, 0], [1, 1, 35, 12, -1, 12, 0], [1, 1, 105, 24, 1, 12, 0]], "char_orbit_index": 32, "prim_orbit_index": 24, "minimal_twist": "105.2.x.a", "char_is_minimal": true, "conrey_index": 32, "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}