# Stored data for newform 432.2.k.c, downloaded from the LMFDB on 24 April 2024. {"label": "432.2.k.c", "space_label": "432.2.k", "level": 432, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007886483063216, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [112550881, 0, 0, 0, 834181822, 0, 0, 0, 163237055, 0, 0, 0, 6358980, 0, 0, 0, 89055, 0, 0, 0, 510, 0, 0, 0, 1]], [11, [244140625, 0, 0, 0, 2891176726, 0, 0, 0, 1777212719, 0, 0, 0, 78092340, 0, 0, 0, 659871, 0, 0, 0, 1494, 0, 0, 0, 1]]], "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "k", "char_is_real": false, "Nk2": 1728, "analytic_conductor": 3.4495373673193126, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [432, 4, [271, 325, 353], [4, 3, 4]], "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [109, 325], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, 16, 0, 0, -20, 0, 0, -16, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 32, 0, 0, 28, 0, 0, -8, 0, 0, -36, 0, 0, 0, 0, 0, -64, 0, 0, -16, 0, 0, -36, 0, 0, 0, 0, 0, -32, 0, 0, -16, 0, 0, 16, 0, 0, 48, 0, 0, -24, 0, 0, 0, 0, 0, 16, 0, 0, -48, 0, 0, -16, 0, 0, -16, 0, 0, -60, 0, 0, 96, 0, 0, 84, 0, 0, 8, 0, 0, 64, 0, 0, 0, 0, 0, 28, 0, 0, -24, 0, 0, 112, 0, 0, 80, 0, 0, 16, 0, 0, 0, 0, 0, -56, 0, 0, -80, 0, 0, 52, 0, 0, 72, 0, 0, 164, 0, 0, -48, 0, 0, 124, 0, 0, -16, 0, 0, -56, 0, 0, 0, 0, 0, 56, 0, 0, 80, 0, 0, -16, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 4, 0, 0, -128, 0, 0, 68, 0, 0, -160, 0, 0, -112, 0, 0, -160, 0, 0, -280, 0, 0, 24, 0, 0, -16, 0, 0, 0, 0, 0, -84, 0, 0, -56, 0, 0, -164, 0, 0, -128, 0, 0, 100, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -88, 0, 0, -40, 0, 0, -112, 0, 0, 16, 0, 0, 52, 0, 0, 16, 0, 0, 152, 0, 0, 0, 0, 0, 128, 0, 0, 120, 0, 0, 36, 0, 0, -32, 0, 0, 168, 0, 0, 0, 0, 0, 20, 0, 0, 112, 0, 0, 36, 0, 0, -16, 0, 0, 328, 0, 0, 128, 0, 0, 36, 0, 0, 24, 0, 0, -28, 0, 0, 0, 0, 0, 84, 0, 0, -136, 0, 0, -24, 0, 0, 16, 0, 0, -228, 0, 0, 0, 0, 0, -40, 0, 0, 144, 0, 0, 32, 0, 0, 0, 0, 0, -168, 0, 0, 80, 0, 0, -132, 0, 0, -112, 0, 0, -68, 0, 0, 0, 0, 0, 104, 0, 0, 8, 0, 0, -336, 0, 0, 160, 0, 0, 16, 0, 0, 0, 0, 0, -124, 0, 0, 144, 0, 0, -272, 0, 0, 0, 0, 0, 52, 0, 0, -48, 0, 0, 220, 0, 0, 104, 0, 0, 88, 0, 0, 0, 0, 0, -20, 0, 0, 112, 0, 0, 336, 0, 0, 176, 0, 0, 280, 0, 0, 0, 0, 0, -48, 0, 0, -64, 0, 0, 16, 0, 0, 48, 0, 0, 172, 0, 0, 0, 0, 0, -100, 0, 0, -120, 0, 0, -192, 0, 0, 0, 0, 0, -104, 0, 0, -104, 0, 0, 52, 0, 0, -192, 0, 0, -272, 0, 0, 0, 0, 0, -56, 0, 0, -224, 0, 0, 76, 0, 0, 248, 0, 0, -160, 0, 0, -48, 0, 0, -264, 0, 0, 240, 0, 0, -184, 0, 0, 0, 0, 0, -256, 0, 0, -16, 0, 0, -172, 0, 0, -128, 0, 0, -120, 0, 0, 0, 0, 0, 72, 0, 0, -448, 0, 0, -164, 0, 0, 88, 0, 0, -172, 0, 0, -16, 0, 0, 200, 0, 0, -56, 0, 0, 96, 0, 0, 0, 0, 0, -216, 0, 0, -80, 0, 0, 252, 0, 0, -80, 0, 0, 384, 0, 0, 0, 0, 0, 8, 0, 0, 160, 0, 0, 140, 0, 0, 120, 0, 0, 260, 0, 0, 128, 0, 0, 200, 0, 0, -80, 0, 0, -56, 0, 0, 0, 0, 0, 312, 0, 0, 152, 0, 0, 88, 0, 0, 176, 0, 0, -184, 0, 0, 0, 0, 0, -172, 0, 0, 352, 0, 0, 64, 0, 0, -72, 0, 0, -248, 0, 0, 160, 0, 0, -152, 0, 0, 120, 0, 0, 120, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -316, 0, 0, -16, 0, 0, -152, 0, 0, 0, 0, 0, 252, 0, 0, 512, 0, 0, 12, 0, 0, -72, 0, 0, -120, 0, 0, -192, 0, 0, 396, 0, 0, -104, 0, 0, 172, 0, 0, 0, 0, 0, 84, 0, 0, -104, 0, 0, 276, 0, 0, -112, 0, 0, 244, 0, 0, 0, 0, 0, 104, 0, 0, 240, 0, 0, 336, 0, 0, -144, 0, 0, 260, 0, 0, -336, 0, 0, 52, 0, 0, 80, 0, 0, 32, 0, 0, 0, 0, 0, -96, 0, 0, 88, 0, 0, 192, 0, 0, 32, 0, 0, -192, 0, 0, 0, 0, 0, -308, 0, 0, -272, 0, 0, -112, 0, 0, -216, 0, 0, -336, 0, 0, -128, 0, 0, -380, 0, 0, -376, 0, 0, 256, 0, 0, 0, 0, 0, -172, 0, 0, -32, 0, 0, -280, 0, 0, -144, 0, 0, -192, 0, 0, 0, 0, 0, 76, 0, 0, -192, 0, 0, -192, 0, 0, 24, 0, 0, 156, 0, 0, 192, 0, 0, 192, 0, 0, -80, 0, 0, -40, 0, 0, 0, 0, 0, -120, 0, 0, -72, 0, 0, 196, 0, 0, -464, 0, 0, 472, 0, 0, 0, 0, 0, 48, 0, 0, -272, 0, 0, 128, 0, 0, -232, 0, 0, 132, 0, 0, 144, 0, 0, 108, 0, 0, -152, 0, 0, -348, 0, 0, 0, 0, 0, 408, 0, 0, -72, 0, 0, 88, 0, 0, -32, 0, 0, -192, 0, 0, 0, 0, 0, -64, 0, 0, 336, 0, 0, -280, 0, 0, 224, 0, 0, -296, 0, 0, 112, 0, 0, -324, 0, 0, 216, 0, 0, -204, 0, 0, 0, 0, 0, -120, 0, 0, -48, 0, 0, -328, 0, 0, 512, 0, 0, 80, 0, 0, 0, 0, 0, 148, 0, 0, 240, 0, 0, 276, 0, 0, 96, 0, 0, 116, 0, 0, -128, 0, 0, 396, 0, 0, -48, 0, 0, 312, 0, 0, 0, 0, 0, -316, 0, 0, -16, 0, 0, 184, 0, 0, 256, 0, 0, 404, 0, 0, 0, 0, 0, 136, 0, 0, -336, 0, 0, -148, 0, 0, 112, 0, 0, 328], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 16, 5, 1, 4, 0], [1, 1, 48, 9, -1, 4, 0]], "char_orbit_index": 11, "prim_orbit_index": 5, "minimal_twist": "432.2.k.c", "char_is_minimal": true, "conrey_index": 109, "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}