# Stored data for newform 289.10.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "289.10.a.c", "space_label": "289.10.a", "level": 289, "weight": 10, "hecke_orbit": 3, "hecke_orbit_code": 9007199422513441, "dim": 12, "is_polredabs": true, "trace_hash": 2261901614912641243, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-66364416, 3195840, 770176, -20460, -1892, 15, 1]], [3, [203949399568932198678528, 0, -1335826553351738886144, 0, 612743619071665152, 0, -87983684680032, 0, 5157152560, 0, -122690, 0, 1]]], "qexp_display": "q+(-2+\\beta _{2})q^{2}-\\beta _{1}q^{3}+(154-4\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 28900, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 148.84535665135934, "hecke_ring_index": 1179648, "level_radical": 17, "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": "0.514", "prec": 17}, "analytic_rank_proved": true, "char_values": [289, 1, [3], [1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [17], "conrey_indexes": [1], "field_disc": 47817246510572553233122426668594215454469778813367612273818549018127779772383232, "field_disc_factorization": [[2, 14], [3, 4], [19, 1], [67, 1], [97, 2], [15121, 1], [38239, 2], [5859524375273, 2], [62949852760511, 2]], "field_poly": [203949399568932198678528, 0, -1335826553351738886144, 0, 612743619071665152, 0, -87983684680032, 0, 5157152560, 0, -122690, 0, 1], "hecke_ring_index_factorization": [[2, 17], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.689", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "497.727", "prec": 24}, {"__RealLiteral__": 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