# Stored data for newform 2275.2.a.j, downloaded from the LMFDB on 24 April 2024.
{"label": "2275.2.a.j", "space_label": "2275.2.a", "level": 2275, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679891171, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 958819866626716614, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 0, 1]], [3, [-2, 0, 1]]], "qexp_display": "q+\\beta q^{2}-\\beta q^{3}-2q^{6}-q^{7}-2\\beta q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9100, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 18.165966459841286, "hecke_ring_index": 1, "level_radical": 455, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.033", "prec": 17}, "analytic_rank_proved": true, "char_values": [2275, 1, [1002, 976, 1926], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 13], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.568", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.724", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 1], [13, -1]], "trace_display": [0, 0, 0, -2], "traces": [0, 2, 0, 0, 0, 0, -4, -2, 0, -2, 0, 0, 0, 2, 0, 0, -8, 0, 0, -6, 0, 0, 12, 6, 8, 0, 0, 0, 0, 6, 0, -2, 0, -12, -4, 0, 0, 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