# Stored data for newform 208.10.a.f, downloaded from the LMFDB on 07 September 2025.
{"Nk2": 20800, "analytic_conductor": 107.1274539220856, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [13, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [208, 1, [79, 53, 145], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 14098498592959369, "field_disc_factorization": [[14098498592959369, 1]], "field_poly": [1814436, -303924, -12623, -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": [[3, [226804788, 1937115, -39661, -147, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998304624848, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 16, "hecke_ring_index_factorization": [[2, 4]], "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": "208.10.a.f", "level": 208, "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": [2, 13], "level_radical": 26, "minimal_twist": "52.10.a.a", "prim_orbit_index": 1, "qexp_display": "q+(37+\\beta _{1})q^{3}+(-486+2\\beta _{1}+\\beta _{3})q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "208.10.a", "trace_display": [0, 147, -1947, -10251], "trace_hash": 343730192678743171, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.718", "prec": 17}, 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