# Stored data for newform 361.6.a.d, downloaded from the LMFDB on 18 May 2024.
{"label": "361.6.a.d", "space_label": "361.6.a", "level": 361, "weight": 6, "hecke_orbit": 4, "hecke_orbit_code": 13510798982775145, "dim": 2, "is_polredabs": true, "nf_label": "2.2.177.1", "trace_hash": 506478092011907555, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-32, -7, 1]]], "qexp_display": "q+(4-\\beta )q^{2}+(2+3\\beta )q^{3}+(28-7\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12996, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 57.898558952486006, "hecke_ring_index": 1, "level_radical": 19, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [361, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [19], "conrey_indexes": [1], "field_disc": 177, "field_disc_factorization": [[3, 1], [59, 1]], "field_poly": [-44, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.036", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.129", "prec": 20}, {"__RealLiteral__": 0, "data": "0.464", "prec": 17}, {"__RealLiteral__": 0, "data": "71.224", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[19, -1]], "trace_display": [7, 7, -133, 72], "traces": [0, 2, 7, 7, 49, -133, -241, 72, 567, 335, -908, -705, -1687, 1341, -987, 862, 1921, 2784, -686, 0, -6356, 3969, -3618, -2713, -2529, 4807, 2127, 5047, -6909, 7775, 19124, 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