# Stored data for newform 363.2.e.m, downloaded from the LMFDB on 19 April 2024. {"label": "363.2.e.m", "space_label": "363.2.e", "level": 363, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043470439907691, "dim": 8, "is_polredabs": true, "nf_label": "8.0.324000000.3", "trace_hash": 1702635608567585337, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [81, 0, 27, 0, 9, 0, 3, 0, 1]]], "qexp_display": "q+\\beta _{7}q^{2}-\\beta _{6}q^{3}+\\beta _{4}q^{4}+(3+3\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1452, "analytic_conductor": 2.898569593372478, "hecke_ring_index": 1, "level_radical": 33, "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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