# Stored data for newform 1200.2.h.i, downloaded from the LMFDB on 19 April 2024. {"label": "1200.2.h.i", "space_label": "1200.2.h", "level": 1200, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36029278088856752, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 696306022711490369, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [0, 1]], [11, [-3, 1]], [13, [-2, 1]], [23, [-6, 1]]], "qexp_display": "q+(2-\\zeta_{6})q^{3}+(3-3\\zeta_{6})q^{9}+3q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 12, "char_orbit_label": "h", "char_is_real": true, "Nk2": 4800, "analytic_conductor": 9.582048242553647, "hecke_ring_index": 1, "level_radical": 30, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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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