# Stored data for newform 350.10.a.c, downloaded from the LMFDB on 19 April 2024.
{"label": "350.10.a.c", "space_label": "350.10.a", "level": 350, "weight": 10, "hecke_orbit": 3, "hecke_orbit_code": 9007199422513502, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1310271673936535525, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-6, 1]]], "qexp_display": "q+2^{4}q^{2}+6q^{3}+2^{8}q^{4}+96q^{6}+7^{4}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 35000, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 180.2625426573556, "hecke_ring_index": 1, "level_radical": 70, "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": [350, 1, [127, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "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": "0.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.958", "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], [7, -1]], "trace_display": [16, 6, 0, 2401], "traces": [0, 1, 16, 6, 256, 0, 96, 2401, 4096, -19647, 0, -54152, 1536, 113172, 38416, 0, 65536, -6262, -314352, 257078, 0, 14406, -866432, 266000, 24576, 0, 1810752, -235980, 614656, 1574714, 0, -4637484, 1048576, -324912, 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