# Stored data for newform 117.10.a.g, downloaded from the LMFDB on 05 January 2025.
{"Nk2": 11700, "analytic_conductor": 60.25919283117316, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [13, 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": [117, 1, [92, 28], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 3542879445486130710837993586169043383377, "field_disc_factorization": [[13, 3], [373, 2], [661, 1], [10009, 2], [38903, 2], [340079, 2]], "field_poly": [6898597888, 0, -399948096, 0, 2010020, 0, -2613, 0, 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": 1, "hecke_cutters": [[2, [6898597888, 0, -399948096, 0, 2010020, 0, -2613, 0, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597931995253, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 1161216, "hecke_ring_index_factorization": [[2, 11], [3, 4], [7, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "117.10.a.g", "level": 117, "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, 13], "level_radical": 39, "minimal_twist": "117.10.a.g", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(141+\\beta _{4})q^{4}+(-7\\beta _{1}+\\beta _{3}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "117.10.a", "trace_display": [0, 0, 0, 9756], 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