# Stored data for newform 900.6.a.o, downloaded from the LMFDB on 23 April 2024.
{"label": "900.6.a.o", "space_label": "900.6.a", "level": 900, "weight": 6, "hecke_orbit": 15, "hecke_orbit_code": 63050394883851140, "dim": 2, "is_polredabs": true, "nf_label": "2.2.61.1", "trace_hash": 2196564636373464258, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [-15616, 0, 1]], [11, [80, 1]]], "qexp_display": "q-8\\beta q^{7}-80q^{11}+24\\beta q^{13}+35\\beta q^{17}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32400, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 144.34543783168257, "hecke_ring_index": 4, "level_radical": 30, "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": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [900, 1, [451, 101, 577], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 2, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 61, "field_disc_factorization": [[61, 1]], "field_poly": [-15, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.029", "prec": 17}, {"__RealLiteral__": 0, "data": "0.051", "prec": 17}, {"__RealLiteral__": 0, "data": "16.396", "prec": 20}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "165.631", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9120, 0, -688, 0, 0, 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