# Stored data for newform 8034.2.a.o, downloaded from the LMFDB on 16 April 2024.
{"label": "8034.2.a.o", "space_label": "8034.2.a", "level": 8034, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816749410, "dim": 7, "is_polredabs": true, "trace_hash": 1478771809324458303, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [657, -417, -279, 173, 41, -23, -2, 1]], [7, [183, 270, -32, -178, -51, 17, 9, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+(1-\\beta _{1}+\\beta _{2}+\\beta _{4}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32136, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 64.15181298389666, "hecke_ring_index": 1, "level_radical": 8034, "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": {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8034, 1, [5357, 1237, 5773], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 13, 103], "conrey_indexes": [1], "field_disc": 225746769, "field_disc_factorization": [[3, 1], [53, 1], [1419791, 1]], "field_poly": [1, -3, -12, 3, 14, -4, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.185", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "104.652", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2719.986", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [13, -1], [103, -1]], "trace_display": [-7, -7, 2, -9], 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