# Stored data for newform 576.7.g.h, downloaded from the LMFDB on 19 April 2024. {"label": "576.7.g.h", "space_label": "576.7.g", "level": 576, "weight": 7, "hecke_orbit": 8, "hecke_orbit_code": 31525609825894976, "dim": 2, "is_polredabs": true, "nf_label": "2.0.15.1", "trace_hash": 207130242755606970, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-10, 1]]], "qexp_display": "q+10q^{5}+10\\beta q^{7}-31\\beta q^{11}-1466q^{13}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "g", "char_is_real": true, "Nk2": 28224, "analytic_conductor": 132.51115216503416, "hecke_ring_index": 16, "level_radical": 6, "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": {"__RealLiteral__": 0, "data": "0.505", "prec": 17}, 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