# Stored data for newform 429.2.bd.b, downloaded from the LMFDB on 25 April 2024. {"label": "429.2.bd.b", "space_label": "429.2.bd", "level": 429, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505592525750701, "dim": 56, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [256, 0, 6528, 0, -143312, 0, -5069400, 0, 162263953, 0, -908902578, 0, 181783527, 0, 9462584610, 0, 15881211714, 0, 2518218486, 0, -11610853045, 0, -4302447660, 0, 6594588448, 0, 3028230096, 0, -1888579690, 0, -786915066, 0, 468589024, 0, 60611412, 0, -48945579, 0, -3393546, 0, 3593002, 0, 88014, 0, -159570, 0, -1722, 0, 5093, 0, 0, 0, -87, 0, 0, 0, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 143, "char_orbit_label": "bd", "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, 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-24, 0, 0, 60, 0, -440, 36, 60, 0, 0, 0, 304, 0, -144, 60, 0, 220, 696, 160, 0, 0, 0, -556, 0, 100, 356, 0, 240, 0, 424, 0, 0, 0, -588, 0, 460, -72, 0, 188, 0, -208, 0, 0, 0, 688, 0, 24, -552, 0, 288, 728, -120, 0, 0, 0, -264, 0, -78, -368, 0, -88, -532, 28, 0, 0, 0, 12, 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, 11, 2, -1, 2, 0], [1, 1, 13, 6, -1, 12, 0], [1, 1, 143, 15, 1, 12, 0]], "char_orbit_index": 30, "prim_orbit_index": 15, "minimal_twist": "429.2.bd.b", "char_is_minimal": true, "conrey_index": 76, "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}