# Stored data for newform 81.10.a.b, downloaded from the LMFDB on 19 July 2025.
{"Nk2": 8100, "analytic_conductor": 41.717902729273725, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1]], "atkin_lehner_string": "+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [81, 1, [2], [1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 8695778259537, "field_disc_factorization": [[3, 2], [738151, 1], [1308943, 1]], "field_poly": [106624, 10232, -1314, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-54720, 29016, -906, -33, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599795142737, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 108, "hecke_ring_index_factorization": [[2, 2], [3, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "81.10.a.b", "level": 81, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3], "level_radical": 3, "minimal_twist": "81.10.a.a", "prim_orbit_index": 1, "qexp_display": "q+(8+\\beta _{1})q^{2}+(212+6\\beta _{1}+\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "81.10.a", "trace_display": [33, 0, 570, -3238], "trace_hash": 1567230076893720820, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.760", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 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