# Stored data for newform 570.2.i.h, downloaded from the LMFDB on 18 April 2024. {"label": "570.2.i.h", "space_label": "570.2.i", "level": 570, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525747180962362, "dim": 4, "is_polredabs": true, "nf_label": "4.0.51984.3", "trace_hash": 498500670292644734, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-19, 0, 1]], [11, [3, 1]]], "qexp_display": "q+(1+\\beta _{2})q^{2}+(-1-\\beta _{2})q^{3}+\\beta _{2}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "i", "char_is_real": false, "Nk2": 2280, "analytic_conductor": 4.551472915212982, "hecke_ring_index": 1, "level_radical": 570, "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, 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