# Stored data for newform 1859.4.a.i, downloaded from the LMFDB on 25 April 2024.
{"label": "1859.4.a.i", "space_label": "1859.4.a", "level": 1859, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028797086074691, "dim": 17, "is_polredabs": true, "trace_hash": 678506338102722413, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [2596992, 27375104, 37775816, -32766128, -42560950, 20197463, 15765187, -6021311, -2799440, 941923, 267574, -81750, -13998, 3949, 375, -99, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{8}q^{3}+(5+\\beta _{2})q^{4}+(1+\\beta _{6}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29744, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 109.6845507006718, "hecke_ring_index": 3840, "level_radical": 143, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, 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