# Stored data for newform 6003.2.a.s, downloaded from the LMFDB on 20 April 2024.
{"label": "6003.2.a.s", "space_label": "6003.2.a", "level": 6003, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326229363, "dim": 20, "is_polredabs": true, "trace_hash": 2178171011007046443, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-256, -1408, 2768, 19624, 5201, -60661, -34967, 82362, 52109, -59410, -36791, 24566, 14484, -5985, -3353, 846, 453, -64, -33, 2, 1]], [5, [34304, 347648, -2574080, 805952, 9824768, -1611680, -12185864, 659076, 6895808, -4762, -2075476, -50979, 359215, 12062, -36939, -1202, 2230, 56, -73, -1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}-\\beta _{6}q^{5}-\\beta _{14}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24012, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 47.934196333374615, "hecke_ring_index": 128, "level_radical": 2001, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [6003, 1, [668, 3133, 4555], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 9918600688166484568997213545965286585701632, "field_disc_factorization": [[2, 8], [98545247, 1], [175424833589, 1], [2241215851682401671359, 1]], "field_poly": [-256, 1408, 2768, -19624, 5201, 60661, -34967, -82362, 52109, 59410, -36791, -24566, 14484, 5985, -3353, -846, 453, 64, -33, -2, 1], "hecke_ring_index_factorization": [[2, 7]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.177", "prec": 17}, {"__RealLiteral__": 0, "data": "15.210", "prec": 20}, {"__RealLiteral__": 0, "data": "9.132", "prec": 17}, {"__RealLiteral__": 0, "data": "708.278", "prec": 24}, {"__RealLiteral__": 0, "data": "555.001", "prec": 24}, {"__RealLiteral__": 0, "data": "56596.500", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 20, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, 1], [29, 1]], "trace_display": [-2, 0, 1, 9], "traces": [0, 20, -2, 0, 30, 1, 0, 9, -6, 0, 7, 0, 0, 21, 1, 0, 58, 4, 0, 7, 20, 0, 7, -20, 0, 47, -8, 0, 11, -20, 0, 28, -14, 0, 16, -9, 0, 14, 20, 0, 34, -7, 0, 3, 1, 0, 2, -3, 0, 35, 24, 0, 73, 19, 0, 29, 30, 0, 2, -20, 0, 15, -12, 0, 82, 28, 0, 20, 23, 0, -24, -63, 0, 19, -16, 0, -44, 7, 0, 32, 56, 0, -20, 21, 0, 4, 6, 0, 55, 13, 0, 70, -30, 0, -12, -9, 0, -9, -31, 0, 57, 30, 0, 38, 31, 0, -30, 5, 0, -2, 20, 0, -34, 37, 0, -1, -30, 0, -2, -30, 0, 74, 89, 0, -2, 42, 0, 37, 61, 0, -90, -2, 0, 83, 30, 0, -44, 25, 0, 39, 69, 0, -45, 9, 0, -1, 23, 0, -37, 4, 0, 65, 125, 0, -70, 48, 0, 62, 32, 0, 110, -9, 0, 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