# Stored data for newform 350.2.o.d, downloaded from the LMFDB on 25 April 2024. {"label": "350.2.o.d", "space_label": "350.2.o", "level": 350, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511760988340574, "dim": 16, "is_polredabs": true, "nf_label": "16.0.478584585616890104119296.1", "trace_hash": 2115170992207203885, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [65536, 0, 0, 0, -22784, 0, 0, 0, 7665, 0, 0, 0, -89, 0, 0, 0, 1]]], "qexp_display": "q+(-\\beta _{5}+\\beta _{7})q^{2}+(-\\beta _{4}-\\beta _{13}+\\beta _{14}+\\cdots)q^{3}+\\cdots", "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 35, "char_orbit_label": "o", "char_is_real": false, "Nk2": 1400, "analytic_conductor": 2.7947640707448134, "hecke_ring_index": 1, "level_radical": 70, "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": false, 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