# Stored data for newform 931.2.c.f, downloaded from the LMFDB on 06 June 2024.
{"Nk2": 3724, "analytic_conductor": 7.434072428181204, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 133, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 2, "char_parity": 1, "char_values": [931, 2, [248, 344], [1, 1]], "cm_discs": [], "conrey_index": 930, "dim": 40, "has_non_self_twist": 1, "hecke_cutters": [[2, [49, 0, 1610, 0, 9731, 0, 24824, 0, 32483, 0, 23614, 0, 10017, 0, 2532, 0, 375, 0, 30, 0, 1]], [3, [6272, 0, -60928, 0, 198935, 0, -302756, 0, 249126, 0, -119720, 0, 34977, 0, -6280, 0, 676, 0, -40, 0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22518135609361315, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 19, 2, -1, 2, 0], [1, 1, 133, 3, 1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "931.2.c.f", "level": 931, "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": [7, 19], "level_radical": 133, "minimal_twist": "931.2.c.f", "prim_orbit_index": 3, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "931.2.c", "trace_display": [0, 0, 0, 0], "traces": [40, 0, 0, -40, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 48, 0, -56, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -40, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, -96, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, -48, 0, 0, 72, 0, 0, 0, -48, 104, 0, -192, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 288, 72, 0, -16, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, -80, 0, 0, 0, 0, -112, 0, 312, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 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null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "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}