# Stored data for newform 1323.2.g.h, downloaded from the LMFDB on 26 February 2021.
{"level_primes": [3, 7], "sato_tate_group": "1.2.3.c3", "rm_discs": [], "conrey_indexes": [361, 667], "cm_discs": [], "level_radical": 21, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 7, "is_cm": false, "hecke_orbit": 8, "analytic_conductor": 10.564208187415394, "inner_twist_count": 4, "is_rm": false, "char_order": 3, "level_is_square": false, "weight_parity": 1, "label": "1323.2.g.h", "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "441.2.f.h", "dim": 24, "traces": [24, -4, 0, -12, 0, 0, 0, 24, 0, 0, 40, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 64, 0, 24, 0, 0, 0, -16, 0, 0, -48, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -56, 0, 24, 0, 0, 0, 4, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, -60, 0, -12, 0, 0, 0, 112, 0, 0, 136, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 12, 152, 0, 0, 0, 0, 0, -16, 0, 0, -64, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, -60, 0, 12, 0, 0, 0, -12, 0, 0, -68, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -96, -100, 0, 72, 0, 0, 0, -104, 0, 0, -48, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -96, 192, 0, -72, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, -132, 0, 0, 0, 12, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, -24, 0, 0, 0, 56, 0, 0, 32, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 84, 88, 0, 168, 0, 0, 0, 148, 0, 0, -4, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, -64, 0, 84, 0, 0, 0, -88, 0, 0, 16, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 120, 12, 0, -84, 0, 0, 0, -152, 0, 0, 144, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 136, 0, -96, 0, 0, 0, -56, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -84, 0, 12, 0, 0, 0, -12, 0, 0, 28, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -432, -68, 0, 108, 0, 0, 0, 72, 0, 0, 200, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -84, -216, 0, -264, 0, 0, 0, 20, 0, 0, -44, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 72, -132, 0, -60, 0, 0, 0, -68, 0, 0, 36, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -48, 48, 0, -48, 0, 0, 0, -56, 0, 0, -40, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 144, 32, 0, 192, 0, 0, 0, -136, 0, 0, 36, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 36, 112, 0, 156, 0, 0, 0, 128, 0, 0, -112, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 360, 12, 0, -144, 0, 0, 0, 240, 0, 0, 56, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 144, 0, 72, 0, 0, 0, 188, 0, 0, -36, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -96, 48, 0, 48, 0, 0, 0, -176, 0, 0, -8, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -240, 96, 0, 228, 0, 0, 0, 48, 0, 0, -8, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -120, -32, 0, -312, 0, 0, 0, 32, 0, 0, 64, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 60, 296, 0, -276, 0, 0, 0, 168, 0, 0, 104, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 48, -104, 0, -48, 0, 0, 0, 80, 0, 0, -368, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 96, -512, 0, 576, 0, 0, 0, -200, 0, 0, -152, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 180, -68, 0, 48, 0, 0, 0, 32, 0, 0, -64, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 288, 332, 0, -96, 0, 0, 0, -504, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -176, 0, -144, 0, 0, 0, -188, 0, 0, 160, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -24, 160, 0, 48, 0, 0, 0, 172, 0, 0, 88, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -240, 76, 0, 288, 0, 0, 0, 184, 0, 0, -304, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -120, 8, 0, -408, 0, 0, 0, 176, 0, 0, 220, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 144, 0, -144, 0, 0, 0, -160, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 84, 0, -156, 0, 0, 0, -144, 0, 0, 304, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 252, -192, 0, 456, 0, 0, 0, 68, 0, 0, -4, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 296, 0, 432, 0, 0, 0, 128, 0, 0, 136, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 480, 80, 0, -144, 0, 0, 0, 312, 0, 0, -512, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -72, -496, 0, -72, 0, 0, 0, 312, 0, 0, 32, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -168, -144, 0, 72, 0, 0, 0, 80, 0, 0, 412, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -120, 148, 0, 144, 0, 0, 0, -96, 0, 0, -256, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -48, -72, 0, -120, 0, 0, 0, -132, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 260, 0, -384, 0, 0, 0, 108, 0, 0, -68, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -72, 204, 0, -108, 0, 0, 0, -280, 0, 0, -432, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, -768, 0, 408, 0, 0, 0, 64, 0, 0, 372, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 180, 76, 0, 72, 0, 0, 0, -20, 0, 0, 96, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 144, 224, 0, -168, 0, 0, 0, -176, 0, 0, 296, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -156, 464, 0, -144, 0, 0, 0, -32, 0, 0, 168, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -348, -116, 0, 96, 0, 0, 0, 244, 0, 0, 32, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, -216, 100, 0, 264, 0, 0, 0, 304, 0, 0, 280, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, -144, -352, 0, -960, 0, 0, 0, 84, 0, 0, -100, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -108, 124, 0, -204, 0, 0, 0, -164, 0, 0, 52, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -168, 0, 0, -348, 0, 0, 0, -288, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 176, 0, 576, 0, 0, 0, 88, 0, 0, 80, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 168, 132, 0, 288, 0, 0, 0, -324, 0, 0, -12, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 528, -252, 0, -192, 0, 0, 0, -192, 0, 0, 24, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -96, -424, 0, 240, 0, 0, 0, -92, 0, 0, 36, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -264, 32, 0, -12, 0, 0, 0, -268, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, 0, 0, -48, -32, 0, 528, 0, 0, 0, -248, 0, 0, 448, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -132, -416, 0, -216, 0, 0, 0, 128, 0, 0, -80, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -96, -316, 0, -444, 0, 0, 0, 56, 0, 0, 44, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -456, 16, 0, 72, 0, 0, 0, 552, 0, 0, -200, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 348, 592, 0, 576, 0, 0, 0, 8, 0, 0, -300, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 132, -104, 0, 48, 0, 0, 0, 292, 0, 0, -376, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, -28, 0, 12, 0, 0, 0, -40, 0, 0, -512, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -384, 224, 0, -360, 0, 0, 0, -276, 0, 0, -8, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, -48, 64, 0, 132, 0, 0, 0, -232, 0, 0, -276, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, -624, -196, 0, 300, 0, 0, 0, -296, 0, 0, 160, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 120, -104, 0, -696, 0, 0, 0, -176, 0, 0, 116, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 252, 56, 0, -252, 0, 0, 0, -12, 0, 0, -348, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -312, -52, 0, -228, 0, 0, 0, -288, 0, 0, 568, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 72, 376, 0, 480, 0, 0, 0, -88, 0, 0, -68, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, 132, -108, 0, 144, 0, 0, 0, -252, 0, 0, 232, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 264, 40, 0, -144, 0, 0, 0, 16, 0, 0, 120, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -120, 424, 0, -24, 0, 0, 0, 84, 0, 0, -124, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, -336, -4, 0, -12, 0, 0, 0, 28, 0, 0, -172, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 312, -452, 0, 96, 0, 0, 0, 296, 0, 0, 392, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 120, 384, 0, -120, 0, 0, 0, -92, 0, 0, -280, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -72, -224, 0, -132, 0, 0, 0, 276, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 12, 0, -108, 0, 0, 0, 528, 0, 0, 288, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 60, 392, 0, 384, 0, 0, 0, 148, 0, 0, 64, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 732, -248, 0, 60, 0, 0, 0, -176, 0, 0, 212, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 408, -244, 0, -180, 0, 0, 0, 1272, 0, 0, 584, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 72, 192, 0, -24, 0, 0, 0, 384, 0, 0, -328, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -192, 24, 0, 120, 0, 0, 0, 160, 0, 0, 36, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 360, -24, 0, 204, 0, 0, 0, -120, 0, 0, -216, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -168, 440, 0, -720, 0, 0, 0, -424, 0, 0, -52, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -144, -304, 0, 36, 0, 0, 0, 268, 0, 0, 256, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -144, -340, 0, -36, 0, 0, 0, -416, 0, 0, -584, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 444, -240, 0, 792, 0, 0, 0, -184, 0, 0, -340, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 84, -548, 0, 600, 0, 0, 0, 88, 0, 0, -368, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -96, 96, 0, -264, 0, 0, 0, -232, 0, 0, 1072, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -216, 584, 0, 192, 0, 0, 0, -352, 0, 0, 228, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -204, -48, 0, 264, 0], "has_non_self_twist": 1, "char_values": [1323, 3, [785, 1081], [1, 2]], "Nk2": 5292, "analytic_rank": 0, "char_orbit_label": "g", "weight": 2, "trace_display": [-4, 0, 0, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "level_is_prime": false, "char_is_minimal": false, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 12, "hecke_cutters": [[2, [1, -14, 206, 116, 261, 74, 184, 58, 63, 10, 11, 2, 1]], [5, [49, 0, -4470, 0, 5850, 0, -2580, 0, 465, 0, -36, 0, 1]]], "space_label": "1323.2.g", "level": 1323, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 63, 7, 1, 3, 0], [1, 1, 63, 11, -1, 6, 0]], "char_degree": 2, "char_conductor": 63, "char_orbit_index": 7, "hecke_orbit_code": 31525609742009643, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}