# Stored data for newform 600.3.l.f, downloaded from the LMFDB on 19 April 2024. {"label": "600.3.l.f", "space_label": "600.3.l", "level": 600, "weight": 3, "hecke_orbit": 6, "hecke_orbit_code": 22518754101428824, "dim": 8, "is_polredabs": true, "nf_label": "8.0.681615360000.5", "trace_hash": 2240310121439744865, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-1944, -872, -82, 8, 1]]], "qexp_display": "q+\\beta _{2}q^{3}+(-1+\\beta _{3}+\\beta _{4}+\\beta _{5})q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "l", "char_is_real": true, "Nk2": 5400, "analytic_conductor": 16.348815861617815, "hecke_ring_index": 384, "level_radical": 30, "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, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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