# Stored data for newform 720.2.z.d, downloaded from the LMFDB on 25 April 2024. {"label": "720.2.z.d", "space_label": "720.2.z", "level": 720, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13512516902585040, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 374997151315750165, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [18, 6, 1]], [11, [2, -2, 1]]], "qexp_display": "q+(1-i)q^{2}-2iq^{4}+(2-i)q^{5}+(-3+\\cdots)q^{7}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 80, "char_orbit_label": "z", "char_is_real": false, "Nk2": 2880, "analytic_conductor": 5.749228945532187, "hecke_ring_index": 1, "level_radical": 30, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.256", "prec": 17}, "analytic_rank_proved": true, "char_values": [720, 4, [271, 181, 641, 577], [2, 3, 4, 3]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5], "conrey_indexes": [163, 667], "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.630", "prec": 20}, {"__RealLiteral__": 0, "data": "0.113", "prec": 17}, {"__RealLiteral__": 0, "data": "100.045", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c4", "trace_display": [2, 0, 4, -6], "traces": [0, 2, 2, 0, 0, 4, 0, -6, -4, 0, 2, 2, 0, 0, -12, 0, -8, -2, 0, -6, -4, 0, 0, 2, 0, 6, 4, 0, -12, 14, 0, 0, -8, 0, -4, -18, 0, 0, 0, 0, -12, 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