# Stored data for newform 8.15.d.b, downloaded from the LMFDB on 25 April 2024.
{"label": "8.15.d.b", "space_label": "8.15.d", "level": 8, "weight": 15, "hecke_orbit": 2, "hecke_orbit_code": 4503806037458952, "dim": 12, "is_polredabs": true, "trace_hash": 704945233485192989, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-27349123494750292800, 30152894039558784, 47859959296944, -18520805952, -16502844, 1512, 1]]], "qexp_display": "q+(18+\\beta _{1})q^{2}+(-252+3\\beta _{1}+\\beta _{3}+\\cdots)q^{3}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 8, "char_orbit_label": "d", "char_is_real": true, "Nk2": 1800, "analytic_conductor": 9.946317452152478, "hecke_ring_index": 9413373500813984189644800, "level_radical": 2, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [8, 2, [7, 5], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [3], "field_disc": 897482155678945110570873527345228176514862789431430876976028156998938890625, "field_disc_factorization": [[3, 7], [5, 6], [7, 7], [11, 1], [13, 1], [23227, 1], [404969, 2], [99973091, 2], [76536022443823, 2]], "field_poly": [3788457560343891547750, -84437535339775221175, 1896685485375873305, -24344904673267125, 371618750972305, -1813403462870, 82897017850, -474141530, 12151288, -33891, 4349, -1, 1], "hecke_ring_index_factorization": [[2, 66], [3, 6], [5, 2], [7, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "10.475", "prec": 20}, {"__RealLiteral__": 0, "data": "3.479", "prec": 17}, {"__RealLiteral__": 0, "data": "611.604", "prec": 24}, {"__RealLiteral__": 0, "data": "393.665", "prec": 24}, {"__RealLiteral__": 0, "data": 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