# Stored data for newform 825.2.k.g, downloaded from the LMFDB on 19 April 2024. {"label": "825.2.k.g", "space_label": "825.2.k", "level": 825, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27022284992545593, "dim": 4, "is_polredabs": true, "nf_label": "4.0.256.1", "trace_hash": 419085493950908474, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -4, 8, -4, 1]], [7, [16, 32, 32, 8, 1]], [13, [16, 32, 32, 8, 1]], [29, [28, -12, 1]]], "qexp_display": "q+(1-\\zeta_{8}^{2}-\\zeta_{8}^{3})q^{2}+(1+\\zeta_{8}^{2}-\\zeta_{8}^{3})q^{3}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 15, "char_orbit_label": "k", "char_is_real": false, "Nk2": 3300, "analytic_conductor": 6.587658166755632, "hecke_ring_index": 1, "level_radical": 165, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, 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