# Stored data for newform 231.4.g.a, downloaded from the LMFDB on 30 September 2025.
{"Nk2": 3696, "analytic_conductor": 13.629441211326082, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 33, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 2, "char_parity": 1, "char_values": [231, 2, [155, 199, 211], [1, 2, 1]], "cm_discs": [], "conrey_index": 197, "dim": 72, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 412383969511, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 33, 4, 1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "231.4.g.a", "level": 231, "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": true, "level_primes": [3, 7, 11], "level_radical": 231, "minimal_twist": "231.4.g.a", "prim_orbit_index": 4, "related_objects": [], "relative_dim": 72, "rm_discs": [], "sato_tate_group": "3.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "231.4.g", "trace_display": [0, 0, 0, 0], "traces": [72, 0, 0, 288, 0, 0, 0, 0, 4, 0, 0, 16, 0, 0, 20, 1248, 0, 0, 0, 0, 0, 384, 0, 0, -1824, 0, -900, 0, 0, 0, 264, 0, -964, -1008, 0, 48, -24, 0, 0, 0, 0, 0, 0, 0, 1524, 0, 0, 192, -3528, 0, 0, 0, 0, 0, 1728, 0, 0, -3612, 0, -3172, 0, 0, 0, 5844, 0, -2748, 624, 0, 804, -756, 0, 0, 0, 0, -4516, 0, 0, -1268, 0, 0, 4796, 10056, 0, 0, 0, 0, 0, 7428, 0, 0, -1008, 0, -3916, 0, 0, 0, 168, 0, -1260, 1188, 0, 12112, -15120, 0, 0, 0, 0, -8296, 0, 0, 4444, 0, 0, 20100, 6936, 0, 0, 0, 0, 0, 4752, 0, 0, 2496, 0, 560, 0, 0, 0, 1788, 0, -10324, 2184, 0, 16272, -27288, 0, 0, 0, 0, -9512, 0, 0, -3928, 0, 0, 0, 15804, 0, 0, 0, 0, 0, -3024, 0, 0, -20064, 0, -14216, 0, 0, 0, 19128, 0, -8236, -12936, 0, 5236, -23448, 0, 0, 0, 0, 104, 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"artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}