# Stored data for newform 289.10.a.d, downloaded from the LMFDB on 20 April 2024.
{"label": "289.10.a.d", "space_label": "289.10.a", "level": 289, "weight": 10, "hecke_orbit": 4, "hecke_orbit_code": 13510799049883937, "dim": 12, "is_polredabs": true, "trace_hash": 1686154314562584336, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1018109465395200, 1445191108263936, -163361958309888, -20230637637632, 1516569700096, 77342075392, -4938565328, -116603152, 7008044, 75004, -4421, -17, 1]], [3, [3604544866952434779806439, 15084709192180256275152, -4892673972957993072945, 336930405417511938, 1857421710435299328, -5576249697859260, -197610553835829, 392253170814, 8307631332, -9283700, -151309, 74, 1]]], "qexp_display": "q+(1+\\beta _{1})q^{2}+(-6+\\beta _{3})q^{3}+(249+\\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": 16920576, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [289, 1, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [17], "conrey_indexes": [1], "field_disc": 90149789226971965908035439720522127452429907340089681266736007458694222270864, "field_disc_factorization": [[2, 4], [311, 1], [49853, 1], [2454703508061600458601872315922961, 1], [148045088104287207934536758253543083, 1]], "field_poly": [245077910606835, 1064197876989579, -214257360688838, -13493392282513, 1825619566875, 45662797046, -5553197164, -58373994, 7481825, 30079, -4542, -5, 1], "hecke_ring_index_factorization": [[2, 12], [3, 5], [17, 1]], "trace_moments": 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