# Stored data for newform 1950.2.i.bf, downloaded from the LMFDB on 20 April 2024.
{"label": "1950.2.i.bf", "space_label": "1950.2.i", "level": 1950, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139612138237855646, "dim": 4, "is_polredabs": true, "nf_label": "4.0.14400.7", "trace_hash": 996050448558039694, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [100, 0, 10, 0, 1]], [11, [9, 3, 1]], [17, [36, -48, 58, -8, 1]], [19, [100, 0, 10, 0, 1]]], "qexp_display": "q-\\beta _{2}q^{2}+\\beta _{2}q^{3}+(-1-\\beta _{2})q^{4}+(1+\\cdots)q^{6}+\\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": 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": "0.027", "prec": 17}, "analytic_rank_proved": true, "char_values": [1950, 3, [1301, 1327, 301], [3, 3, 2]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [451, 601], "field_disc": 14400, "field_disc_factorization": [[2, 6], [3, 2], [5, 2]], "field_poly": [100, 0, 10, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "3.643", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "48.675", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1122.132", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c3", "trace_display": [2, -2, 0, 0], "traces": [0, 4, 2, -2, -2, 0, 2, 0, -4, -2, 0, -6, 4, 6, 0, 0, -2, 8, -4, 0, 0, 0, 6, -2, 2, 0, 0, 4, 0, 4, 0, 24, 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