# Stored data for newform 1950.2.i.i, downloaded from the LMFDB on 18 April 2024.
{"label": "1950.2.i.i", "space_label": "1950.2.i", "level": 1950, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36029346808334238, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 54622975867591641, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [25, 5, 1]], [11, [9, -3, 1]], [17, [64, 8, 1]], [19, [25, -5, 1]]], "qexp_display": "q+(-1+\\zeta_{6})q^{2}+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "i", "char_is_real": false, "Nk2": 7800, "analytic_conductor": 15.570828394149675, "hecke_ring_index": 1, "level_radical": 390, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [1950, 3, [1301, 1327, 301], [3, 3, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [451, 601], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "1.946", "prec": 17}, {"__RealLiteral__": 0, "data": "0.272", "prec": 17}, {"__RealLiteral__": 0, "data": "11.599", "prec": 20}, {"__RealLiteral__": 0, "data": "2.947", "prec": 17}, {"__RealLiteral__": 0, "data": "105.725", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, 1, 0, -5], "traces": [0, 2, -1, 1, -1, 0, 1, -5, 2, -1, 0, 3, -2, 5, 10, 0, -1, -8, 2, 5, 0, -10, 3, -4, 1, 0, 2, -2, -5, 4, 0, -4, -1, -3, 16, 0, -1, -7, -10, -2, 0, -6, 5, 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