# Stored data for newform 315.3.h.d, downloaded from the LMFDB on 25 April 2024. {"label": "315.3.h.d", "space_label": "315.3.h", "level": 315, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13511279968780603, "dim": 12, "is_polredabs": true, "trace_hash": 1367951537149520879, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [21, -198, 103, 40, -21, -2, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(4-\\beta _{1})q^{4}-\\beta _{8}q^{5}+(-1+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 7, "char_orbit_label": "h", "char_is_real": true, "Nk2": 2835, "analytic_conductor": 8.583128327349351, "hecke_ring_index": 4096, "level_radical": 105, "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": 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