# Stored data for newform 350.10.a.i, downloaded from the LMFDB on 06 May 2024.
{"label": "350.10.a.i", "space_label": "350.10.a", "level": 350, "weight": 10, "hecke_orbit": 9, "hecke_orbit_code": 36028797186736478, "dim": 2, "is_polredabs": true, "nf_label": "2.2.541.1", "trace_hash": 2146299139574626534, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-7815, 58, 1]]], "qexp_display": "q+2^{4}q^{2}+(-29-\\beta )q^{3}+2^{8}q^{4}+(-464+\\cdots)q^{6}+\\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": 8, "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": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 541, "field_disc_factorization": [[541, 1]], "field_poly": [-135, -1, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "1.997", "prec": 17}, {"__RealLiteral__": 0, "data": "0.425", "prec": 17}, {"__RealLiteral__": 0, "data": "10.025", "prec": 20}, {"__RealLiteral__": 0, "data": "3.573", "prec": 17}, {"__RealLiteral__": 0, "data": "70.996", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, 1]], "trace_display": [32, -58, 0, -4802], "traces": [0, 2, 32, -58, 512, 0, -928, -4802, 8192, -20372, 0, -43146, -14848, 83738, -76832, 0, 131072, -15474, -325952, -436148, 0, 139258, -690336, -758700, -237568, 0, 1339808, 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