# Stored data for newform 175.6.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "175.6.a.c", "space_label": "175.6.a", "level": 175, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355404463, "dim": 2, "is_polredabs": true, "nf_label": "2.2.57.1", "trace_hash": 1212058670641546406, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [6, 9, 1]]], "qexp_display": "q+(-4-\\beta )q^{2}+6\\beta q^{3}+(-2+9\\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": 6300, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 28.06716846727161, "hecke_ring_index": 1, "level_radical": 35, "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": [175, 1, [127, 101], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7], "conrey_indexes": [1], "field_disc": 57, "field_disc_factorization": [[3, 1], [19, 1]], "field_poly": [-14, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.429", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.404", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 1]], "trace_display": [-9, 6, 0, -98], "traces": [0, 2, -9, 6, 5, 0, -198, -98, 9, 558, 0, 396, 1554, 350, 441, 0, 113, -1800, -3537, -3266, 0, -294, 1752, -2088, -1854, 0, 2016, 6372, -245, 6696, 0, -20, 6129, -20016, 5934, 0, 10629, -6232, 15210, -20496, 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