# Stored data for newform 6930.2.a.ce, downloaded from the LMFDB on 28 March 2024. {"label": "6930.2.a.ce", "space_label": "6930.2.a", "level": 6930, "weight": 2, "hecke_orbit": 57, "hecke_orbit_code": 252201579166309138, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 1832754946911332566, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[13, [16, -16, -2, 1]], [17, [8, -28, 2, 1]], [19, [-232, -46, 6, 1]], [23, [16, 26, 10, 1]], [29, [92, -66, 0, 1]], [31, [-32, 20, 12, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27720, "fricke_eigenval": -1, "atkin_lehner_string": "+-+++", "analytic_conductor": 55.33632860074731, "hecke_ring_index": 2, "level_radical": 2310, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.078", "prec": 17}, {"__RealLiteral__": 0, "data": "2.855", "prec": 17}, {"__RealLiteral__": 0, "data": "0.875", "prec": 17}, {"__RealLiteral__": 0, "data": "22.023", "prec": 20}, {"__RealLiteral__": 0, "data": "13.107", "prec": 20}, {"__RealLiteral__": 0, "data": "267.409", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", 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