# Stored data for newform 4998.2.a.ca, downloaded from the LMFDB on 12 September 2025.
{"Nk2": 19992, "analytic_conductor": 39.909230930235935, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, 1], [17, 1]], "atkin_lehner_string": "-+++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [4998, 1, [1667, 2551, 4117], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-8, 0, 1]], [11, [-18, 0, 1]], [13, [-14, -4, 1]], [23, [34, -12, 1]]], "hecke_orbit": 53, "hecke_orbit_code": 234187180656825222, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "4998.2.a.ca", "level": 4998, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7, 17], "level_radical": 714, "minimal_twist": "4998.2.a.ca", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}+2\\beta q^{5}-q^{6}+q^{8}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4998.2.a", "trace_display": [2, -2, 0, 0], "trace_hash": 651409746343070668, "trace_moments": [{"__RealLiteral__": 0, "data": "0.053", "prec": 17}, {"__RealLiteral__": 0, "data": "2.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.133", "prec": 17}, {"__RealLiteral__": 0, "data": "10.044", "prec": 20}, {"__RealLiteral__": 0, "data": "0.842", "prec": 17}, {"__RealLiteral__": 0, "data": "67.595", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.026", "prec": 17}, "traces": [0, 2, 2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 4, 0, 0, 2, -2, 2, -8, 0, 0, 0, 12, -2, 6, 4, -2, 0, -4, 0, -8, 2, 0, -2, 0, 2, 8, -8, -4, 0, 4, 0, 4, 0, 0, 12, 8, -2, 0, 6, 2, 4, -20, -2, 24, 0, 8, -4, 20, 0, 4, -8, 0, 2, 24, 0, -4, -2, -12, 0, 4, 2, -20, 8, -6, -8, 0, -4, 16, 0, 2, 4, -28, 0, 0, 4, 4, 0, -28, 0, 0, 12, 8, 8, 24, -2, -4, 0, 0, 6, -16, 2, -12, 4, 0, -20, 8, -2, 0, 24, -8, 0, 16, 8, 8, -4, 4, 20, 0, 0, 14, 4, -4, -8, 0, 0, 0, 2, -4, 24, 44, 0, 0, -4, 0, -2, 4, -12, -8, 0, -8, 4, 36, 2, 8, -20, 0, 8, 4, -6, 12, -8, -2, 0, 0, -4, 4, 16, 20, 0, 0, 2, -4, 4, -24, -28, 20, 0, 18, 0, -8, 4, 8, 4, 0, 0, -20, -28, 24, 0, 12, 0, -4, 12, -16, 8, 0, 8, 0, 24, 0, -2, -4, -4, -24, 0, 20, 0, -16, 6, 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