# Stored data for newform 80.10.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "80.10.a.d", "space_label": "80.10.a", "level": 80, "weight": 10, "hecke_orbit": 4, "hecke_orbit_code": 13510799049883728, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 853859460526876882, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-114, 1]]], "qexp_display": "q+114q^{3}-5^{4}q^{5}-4242q^{7}-6687q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8000, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 41.20286689310985, "hecke_ring_index": 1, "level_radical": 10, "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": [80, 1, [31, 21, 17], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.203", "prec": 17}, {"__RealLiteral__": 0, "data": "4.993", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, 114, -625, -4242], "traces": [0, 1, 0, 114, 0, -625, 0, -4242, 0, -6687, 0, 46208, 0, -115934, 0, -71250, 0, 494842, 0, 1008740, 0, -483588, 0, 532554, 0, 390625, 0, -3006180, 0, 4196390, 0, 3365028, 0, 5267712, 0, 2651250, 0, -14931358, 0, -13216476, 0, 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