# Stored data for newform 8034.2.a.y, downloaded from the LMFDB on 23 April 2024.
{"label": "8034.2.a.y", "space_label": "8034.2.a", "level": 8034, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090454370, "dim": 13, "is_polredabs": true, "trace_hash": 2154571892565346733, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-864, 756, 6421, -2231, -11958, 3399, 7614, -1960, -1749, 496, 130, -40, -3, 1]], [7, [-180, 1839, 3559, -3579, -6840, 2205, 4263, -801, -1151, 196, 134, -25, -5, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+\\beta _{8}q^{5}-q^{6}+\\beta _{1}q^{7}+\\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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [8034, 1, [5357, 1237, 5773], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 13, 103], "conrey_indexes": [1], "field_disc": 29578554866899381021203513, "field_disc_factorization": [[3, 1], [269, 1], [9589157, 1], [3822284309830387, 1]], "field_poly": [-180, 1839, 3559, -3579, -6840, 2205, 4263, -801, -1151, 196, 134, -25, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.193", "prec": 17}, {"__RealLiteral__": 0, "data": "10.036", "prec": 20}, {"__RealLiteral__": 0, "data": "5.052", "prec": 17}, {"__RealLiteral__": 0, "data": "298.842", "prec": 24}, {"__RealLiteral__": 0, "data": "254.395", "prec": 24}, {"__RealLiteral__": 0, "data": "14556.101", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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