# Stored data for newform 2001.2.a.o, downloaded from the LMFDB on 16 April 2024.
{"label": "2001.2.a.o", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816743377, "dim": 20, "is_polredabs": true, "trace_hash": 304534547910959368, "analytic_rank": 0, "is_twist_minimal": true, "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}+q^{3}+(2+\\beta _{2})q^{4}+\\beta _{6}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8004, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 15.978065444458204, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2001, 1, [668, 1132, 553], [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": "0.217", "prec": 17}, {"__RealLiteral__": 0, "data": "15.340", "prec": 20}, {"__RealLiteral__": 0, "data": "30.005", "prec": 20}, {"__RealLiteral__": 0, "data": "725.572", "prec": 24}, {"__RealLiteral__": 0, "data": "3394.584", "prec": 27}, {"__RealLiteral__": 0, "data": "58902.307", "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, 20, -1, 9], "traces": [0, 20, 2, 20, 30, -1, 2, 9, 6, 20, 7, 0, 30, 21, -1, -1, 58, -4, 2, 7, -20, 9, 7, 20, 6, 47, 8, 20, 11, 20, 7, 28, 14, 0, 16, 9, 30, 14, -20, 21, 34, 7, -1, 3, -1, -1, 2, 3, 58, 35, -24, -4, 73, -19, 2, 29, -30, 7, 2, 20, -20, 15, 12, 9, 82, -28, 7, 20, -23, 20, -24, 63, 6, 19, 16, 47, -44, -7, 8, 32, -56, 20, -20, -21, 11, 4, -6, 20, 55, -13, 7, 70, 30, 28, -12, 9, 14, -9, 31, 0, 57, -30, 16, 38, -31, 9, -30, -5, 30, -2, -20, 14, -34, -37, -20, -1, 30, 21, -2, 30, 34, 74, -89, 7, -2, -42, -1, 37, -61, 3, -90, 2, -1, 83, -30, -1, -44, -25, 2, 39, -69, 3, -45, -9, 58, -1, -23, 35, -37, -4, -24, 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