# Stored data for newform 153.10.a.c, downloaded from the LMFDB on 23 April 2024.
{"label": "153.10.a.c", "space_label": "153.10.a", "level": 153, "weight": 10, "hecke_orbit": 3, "hecke_orbit_code": 9007199422513305, "dim": 5, "is_polredabs": true, "trace_hash": 994626752308459042, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-457728, 344192, 24920, -1162, -33, 1]]], "qexp_display": "q+(7-\\beta _{1})q^{2}+(177-17\\beta _{1}+\\beta _{3}-3\\beta _{4})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15300, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 78.80048293307259, "hecke_ring_index": 12, "level_radical": 51, "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": 0, "analytic_rank_proved": true, "char_values": [153, 1, [137, 37], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 17], "conrey_indexes": [1], "field_disc": 737679506699403884, "field_disc_factorization": [[2, 2], [7, 2], [11, 2], [271, 1], [24659, 1], [4654591, 1]], "field_poly": [-2711704, 488987, 5754, -1596, -2, 1], "hecke_ring_index_factorization": [[2, 2], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.679", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.922", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1480.170", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [17, -1]], "trace_display": [33, 0, -1480, -13202], "traces": [0, 5, 33, 0, 853, -1480, 0, -13202, 42423, 0, -89328, 68036, 0, -158862, 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