# Stored data for newform 1125.4.a.k, downloaded from the LMFDB on 21 June 2026.
{"Nk2": 18000, "analytic_conductor": 66.3771487564582, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 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": [1125, 1, [1001, 127], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 497918125, "field_disc_factorization": [[5, 4], [31, 2], [829, 1]], "field_poly": [80, 280, 216, -6, -29, -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, [196, -672, -71, 169, -16, -7, 1]], [11, [-47445831, 1715517, 751565, -10240, -2415, 27, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996340814949, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 25, "hecke_ring_index_factorization": [[5, 2]], "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": false, "label": "1125.4.a.k", "level": 1125, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5], "level_radical": 15, "minimal_twist": "125.4.a.b", "nf_label": "6.6.497918125.1", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{2})q^{2}+(5-\\beta _{2}+\\beta _{3}+\\beta _{4})q^{4}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1125.4.a", "trace_display": [7, 0, 0, -67], "trace_hash": 1046350952623515501, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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