# Stored data for newform 6045.2.a.t, downloaded from the LMFDB on 24 April 2024.
{"label": "6045.2.a.t", "space_label": "6045.2.a", "level": 6045, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953599901, "dim": 9, "is_polredabs": true, "trace_hash": 1000458912789699631, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, -7, -11, 38, 19, -43, -27, 5, 6, 1]], [7, [-805, -2598, 1127, 2162, -36, -545, -103, 33, 12, 1]], [11, [-6854, 4401, 25164, 19768, 4032, -1034, -458, -17, 10, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+q^{3}+(1-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24180, "fricke_eigenval": 1, "atkin_lehner_string": "----", "analytic_conductor": 48.26956802186399, "hecke_ring_index": 1, "level_radical": 6045, "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": [6045, 1, [4031, 4837, 1861, 2731], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13, 31], "conrey_indexes": [1], "field_disc": 4321952320429, "field_disc_factorization": [[17, 1], [347, 1], [3413, 1], [214667, 1]], "field_poly": [-5, -4, 41, -5, -52, 14, 22, -7, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.420", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "204.016", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7592.798", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", 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