# Stored data for newform 375.4.a.f, downloaded from the LMFDB on 21 June 2026.
{"Nk2": 6000, "analytic_conductor": 22.12571625215273, "analytic_rank": 0, "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": [375, 1, [251, 127], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 920588125, "field_disc_factorization": [[5, 4], [599, 1], [2459, 1]], "field_poly": [-400, 20, 231, 12, -31, -2, 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, [-164, -436, 169, 103, -24, -5, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998203961719, "hecke_ring_generator_nbound": 11, "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": true, "label": "375.4.a.f", "level": 375, "level_is_powerful": false, "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": "375.4.a.c", "nf_label": "6.6.920588125.1", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{2})q^{2}-3q^{3}+(4-\\beta _{1}-2\\beta _{2}+\\cdots)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": "375.4.a", "trace_display": [5, -18, 0, 28], "trace_hash": 113134447873374798, "trace_moments": [{"__RealLiteral__": 0, "data": "0.044", "prec": 17}, {"__RealLiteral__": 0, "data": "5.717", "prec": 17}, 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