# Stored data for newform 354.6.a.f, downloaded from the LMFDB on 29 March 2024. {"label": "354.6.a.f", "space_label": "354.6.a", "level": 354, "weight": 6, "hecke_orbit": 6, "hecke_orbit_code": 22517998237516130, "dim": 6, "is_polredabs": true, "trace_hash": 1429013256965296415, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-4482583056, -153366726, 29222465, -212480, -10250, 46, 1]]], "qexp_display": "q-4q^{2}-9q^{3}+2^{4}q^{4}+(-8+\\beta _{5})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12744, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 56.77587221379515, "hecke_ring_index": 12, "level_radical": 354, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, 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