# Stored data for newform 513.2.g.c, downloaded from the LMFDB on 03 September 2025.
{"Nk2": 2052, "analytic_conductor": 4.096325623691683, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 171, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 3, "char_parity": 1, "char_values": [513, 3, [191, 325], [1, 1]], "cm_discs": [], "conrey_index": 64, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [[2, [81, -567, 5562, -18333, 154773, -590571, 2245509, -4637646, 8939259, -10297053, 14005971, -11385480, 14418975, -8450307, 9953691, -4256568, 5070162, -1581978, 1945837, -420887, 580960, -82109, 135298, -10382, 24681, -717, 3447, 34, 358, 10, 25, 1, 1]], [5, [-189, -756, 13887, -23535, -25815, 67191, -6663, -43371, 12405, 12111, -4152, -1690, 600, 115, -40, -3, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007611605156353, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 171, 7, 1, 3, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "513.2.g.c", "level": 513, "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, 19], "level_radical": 57, "minimal_twist": "171.2.g.c", "prim_orbit_index": 7, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "513.2.g", "trace_display": [-1, 0, 6, 1], "traces": [32, -1, 0, -17, 6, 0, 1, 36, 0, -8, -7, 0, -4, 2, 0, -11, 7, 0, 7, 3, 0, 16, -5, 0, 18, 4, 0, -10, 20, 0, -10, -17, 0, 26, 3, 0, 2, -38, 0, -24, 12, 0, 7, -20, 0, 0, -18, 0, -13, -1, 0, 19, -16, 0, 15, 6, 0, 0, 74, 0, 24, -54, 0, -64, -54, 0, -11, 2, 0, -48, -9, 0, -10, -6, 0, 29, -46, 0, -8, 24, 0, 7, -3, 0, -27, -17, 0, 9, -30, 0, -1, 17, 0, -18, 6, 0, 0, -18, 0, -3, 64, 0, -21, 75, 0, -8, 72, 0, 12, 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"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}