# Stored data for newform 1044.2.z.c, downloaded from the LMFDB on 11 June 2024.
{"Nk2": 4176, "analytic_conductor": 8.336381971021671, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 29, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 26, "char_orbit_label": "z", "char_order": 14, "char_parity": 1, "char_values": [1044, 14, [523, 929, 901], [14, 14, 13]], "cm_discs": [], "conrey_index": 109, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[5, [707281, 0, 6414307, 0, 16611432, 0, -9215069, 0, 5121749, 0, -19912, 0, 256711, 0, 13270, 0, 5207, 0, 1005, 0, 146, 0, 15, 0, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9008917275214868, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 29, 5, 1, 14, 0], [1, 1, 87, 8, -1, 14, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "1044.2.z.c", "level": 1044, "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, 3, 29], "level_radical": 174, "minimal_twist": "1044.2.z.c", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c14", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1044.2.z", "trace_display": [0, 0, 0, -4], "traces": [24, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 294, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -210, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -266, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -238, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 308, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 374, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 316, 0, 0, 0, 0, 0, -316, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, -266, 0, 0, 0, 0, 0, -206, 0, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -378, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -350, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 308, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 254, 0, 0, 0, 0, 0, -250, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -230, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -490, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -322, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 350, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 284, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 238, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, -596, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -238, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 154, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 490, 0, 0, 0, 0, 0, 322, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 430, 0, 0, 0, 0, 0, 406, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 194, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -364, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -406, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 270, 0, 0, 0, 0, 0, -374, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 266, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, -644, 0, 0, 0, 0, 0, 322, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 222, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -476, 0, 0, 0, 0, 0, 406, 0, 0, 0, 0, 0, 350, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 322, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 334, 0, 0, 0, 0, 0, 476, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 510, 0, 0, 0, 0, 0, -364, 0, 0, 0, 0, 0, -274, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -206, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -616, 0, 0, 0, 0, 0, 290, 0, 0, 0, 0, 0, -378, 0, 0, 0, 0, 0, -714, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -350, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -500, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -266, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, -532, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -210, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 294, 0, 0, 0, 0, 0, 350, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 616, 0, 0, 0, 0, 0, 308, 0], "weight": 2, "weight_parity": 1, "id": 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}