# Stored data for newform 232.2.q.a, downloaded from the LMFDB on 23 May 2024. {"Nk2": 928, "analytic_conductor": 1.8525293268937049, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 29, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 17, "char_orbit_label": "q", "char_order": 14, "char_parity": 1, "char_values": [232, 14, [175, 117, 89], [14, 14, 5]], "cm_discs": [], "conrey_index": 9, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1099545182440, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 5, 1, 14, 0]], "is_cm": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "232.2.q.a", "level": 232, "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, 29], "level_radical": 58, "minimal_twist": "232.2.q.a", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c14", "self_twist_discs": [], "self_twist_type": 0, "space_label": "232.2.q", "trace_display": [0, 0, -2, -4], "traces": [48, 0, 0, 0, -2, 0, -4, 0, 6, 0, 0, 0, 10, 0, 14, 0, 0, 0, 0, 0, 14, 0, 4, 0, -48, 0, 0, 0, -4, 0, 0, 0, 10, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, -14, 0, -18, 0, -56, 0, -48, 0, -28, 0, -12, 0, -128, 0, -28, 0, 42, 0, -28, 0, -4, 0, 28, 0, -14, 0, -28, 0, 0, 0, 14, 0, 0, 0, -32, 0, 80, 0, 0, 0, -112, 0, 42, 0, -28, 0, 6, 0, 0, 0, 70, 0, 0, 0, 0, 0, 74, 0, 42, 0, 88, 0, 52, 0, 166, 0, -42, 0, 104, 0, 124, 0, 84, 0, -52, 0, 104, 0, 52, 0, 0, 0, 92, 0, 112, 0, 0, 0, 84, 0, 56, 0, 60, 0, -122, 0, 14, 0, 56, 0, 0, 0, 44, 0, -18, 0, -42, 0, -196, 0, 0, 0, -56, 0, -122, 0, -56, 0, -48, 0, -90, 0, -146, 0, 28, 0, -32, 0, -20, 0, -70, 0, -36, 0, -78, 0, -66, 0, -28, 0, -92, 0, -210, 0, 0, 0, 56, 0, -280, 0, -74, 0, 62, 0, -56, 0, -36, 0, 98, 0, 14, 0, 32, 0, 28, 0, 154, 0, 0, 0, 0, 0, 8, 0, 112, 0, -104, 0, 234, 0, 104, 0, 0, 0, -100, 0, 48, 0, -84, 0, -40, 0, 32, 0, 114, 0, 0, 0, 106, 0, 56, 0, 0, 0, -84, 0, 168, 0, 74, 0, -62, 0, 28, 0, 174, 0, -266, 0, -20, 0, 48, 0, -84, 0, -28, 0, 0, 0, 84, 0, -70, 0, -182, 0, -52, 0, -104, 0, -258, 0, -42, 0, -8, 0, -208, 0, 28, 0, 80, 0, -202, 0, -56, 0, 56, 0, -226, 0, -294, 0, 0, 0, -42, 0, -28, 0, -86, 0, 332, 0, -140, 0, -182, 0, 182, 0, 64, 0, -46, 0, 266, 0, 224, 0, 0, 0, 0, 0, 314, 0, 140, 0, 240, 0, 260, 0, 294, 0, 168, 0, 136, 0, 28, 0, 266, 0, 46, 0, 248, 0, 70, 0, 0, 0, 72, 0, 448, 0, 0, 0, 70, 0, 238, 0, 208, 0, -160, 0, 168, 0, 310, 0, 28, 0, -80, 0, 0, 0, -154, 0, -476, 0, 0, 0, -70, 0, -106, 0, 0, 0, -66, 0, -278, 0, -162, 0, 0, 0, -176, 0, 32, 0, -154, 0, -60, 0, -102, 0, -200, 0, 0, 0, -96, 0, -56, 0, 0, 0, -14, 0, -392, 0, -132, 0, 102, 0, -84, 0, -44, 0, 112, 0, -114, 0, -82, 0, -28, 0, 154, 0, 0, 0, 84, 0, 52, 0, 154, 0, -88, 0, 62, 0, 276, 0, -42, 0, -48, 0, 156, 0, -112, 0, 20, 0, 98, 0, 12, 0, 0, 0, 274, 0, 98, 0, 0, 0, -420, 0, 84, 0, 42, 0, -350, 0, -56, 0, 26, 0, -490, 0, -44, 0, -12, 0, -84, 0, -70, 0, 0, 0, -140, 0, -198, 0, -350, 0, -62, 0, -244, 0, -280, 0, 84, 0, -212, 0, -136, 0, -210, 0, 86, 0, -58, 0, 0, 0, -70, 0, -282, 0, -126, 0, 0, 0, 42, 0, 98, 0, -220, 0, 284, 0, 28, 0, -280, 0, -28, 0, 56, 0, 4, 0, 378, 0, 196, 0, 0, 0, 112, 0, 196, 0, -56, 0, 256, 0, 118, 0, 146, 0, -112, 0, 272, 0, 276, 0, 434, 0, -74, 0, 196, 0, 66, 0, -182, 0, 162, 0, 448, 0, 0, 0, 126, 0, 210, 0, 216, 0, -164, 0, 252, 0, 44, 0, 140, 0, 96, 0, 54, 0, 0, 0, -112, 0, 0, 0, 182, 0, -106, 0, 28, 0, -36, 0, -238, 0, -404, 0, -140, 0, 132, 0, -124, 0, 28, 0, -116, 0, -254, 0, -154, 0, 126, 0, -188, 0, -322, 0, 0, 0, 84, 0, -168, 0, -54, 0, 66, 0, 252, 0, 36, 0, 168, 0, -156, 0, -36, 0, -364, 0, 336, 0, 0, 0, 28, 0, 176, 0, 182, 0, -142, 0, 348, 0, 192, 0, 364, 0, 116, 0, 236, 0, -56, 0, 130, 0, 16, 0, -2, 0, -56, 0, 106, 0, -84, 0, 0, 0, -364, 0, 448, 0, -10, 0, -118, 0, 112, 0, 396, 0, -308, 0, 204, 0, -20, 0, -98, 0, -112, 0, 0, 0, -308, 0, -26, 0, -98, 0, 6, 0, -176, 0, -166, 0, -14, 0, -4, 0, -496, 0, -224, 0, 338, 0, -170, 0, 132, 0, 168, 0, 124, 0, -140, 0, 0, 0, -140, 0, 126, 0, -88, 0, 320, 0, -154, 0, -256, 0, 294, 0, 64, 0, -158, 0, 210, 0, 112, 0, 0, 0, -140, 0, -64, 0, 462, 0, 208, 0, 76, 0, 318, 0, 98, 0, 232, 0, 80, 0, 308, 0, -56, 0, 176, 0, -44, 0, -252, 0, 314, 0, 224, 0, 0, 0, 476, 0, 0, 0, 100, 0, -424, 0, -280, 0, 108, 0, 308, 0, 18, 0, 136, 0, -98, 0, -168, 0, 0, 0, 350, 0, -88, 0, 112, 0, -48, 0, -222, 0, -128, 0, -168, 0, -304, 0, -40, 0, -322, 0, -388, 0, 78, 0, -336, 0, -224, 0, -220, 0, -238, 0, 0, 0, 56, 0, -588, 0, -240, 0, -6, 0, -462, 0, -96, 0, -84, 0, -170, 0, -96, 0, -364, 0, -14, 0, 0, 0, 126, 0, 188, 0, -378, 0, -366, 0, 10, 0, 112, 0, -238, 0, -224, 0, 104, 0, -140, 0, -178, 0, -58, 0, 6, 0, -56, 0, -124, 0, 0, 0, 0, 0, -56, 0, -154, 0, 42, 0, -168, 0, 28, 0, -280, 0, -448, 0, -80, 0, 28, 0, -42, 0, 0, 0, 0, 0, -168, 0, -96, 0, -546, 0, -234, 0, -20, 0, -70, 0, 168, 0, -44, 0, -208, 0, 210, 0, 398, 0, 22, 0, 332, 0, 84, 0, -60, 0], "weight": 2, "weight_parity": 1, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}