# Stored data for newform 1638.2.bj.g, downloaded from the LMFDB on 24 April 2024.
{"label": "1638.2.bj.g", "space_label": "1638.2.bj", "level": 1638, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27024002979464806, "dim": 12, "is_polredabs": true, "trace_hash": 1748791857632598880, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [5041, 0, 13306, 0, 11827, 0, 4292, 0, 643, 0, 42, 0, 1]], [11, [495616, 270336, -390144, -239616, 425344, -196992, 32288, 2976, -1292, -180, 118, -18, 1]]], "qexp_display": "q+\\beta _{6}q^{2}+\\beta _{7}q^{4}+(\\beta _{1}-\\beta _{5}+\\beta _{6}-\\beta _{7}+\\cdots)q^{5}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "bj", "char_is_real": false, "Nk2": 6552, "analytic_conductor": 13.079495851085728, "hecke_ring_index": 1, "level_radical": 546, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.173", "prec": 17}, "analytic_rank_proved": true, "char_values": [1638, 6, [911, 703, 379], [6, 6, 5]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "level_primes": [2, 3, 7, 13], "conrey_indexes": [127, 1135], "field_disc": 81616938552262656, "field_disc_factorization": [[2, 20], [3, 6], [10333, 2]], "field_poly": [169, -832, 2141, -3394, 3842, -3172, 2127, -1066, 460, -140, 39, -6, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.221", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "524.174", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "45964.065", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [0, 12, 0, 0, 6, 0, 0, 0, 0, 0, -2, 18, 0, -8, -12, 0, -6, -4, 0, 12, 0, 0, -2, 6, 0, -24, 14, 0, 0, 10, 0, 0, 0, 0, 0, -2, 0, -6, -8, 0, -4, 24, 0, 26, 0, 0, -6, 0, 0, 6, 12, 0, -4, -36, 0, -6, -6, 0, 24, -6, 0, -28, 2, 0, -12, 34, 0, -42, 4, 0, 0, -48, 0, 0, 0, 0, 12, 4, 0, 44, 0, 0, 6, 0, 0, 54, 0, 0, 2, -12, 0, -16, 12, 0, 8, -32, 0, 60, 0, 0, -12, 20, 0, 8, -2, 0, -36, 24, 0, 0, -66, 0, 0, 18, 0, -18, 20, 0, 4, -6, 0, 22, 0, 0, 18, 0, 0, -4, 0, 0, 4, 40, 0, 4, -6, 0, -6, 6, 0, -62, 2, 0, -8, 54, 0, -108, -22, 0, 0, -30, 0, 0, -4, 0, -18, -12, 0, 88, -18, 0, -2, 0, 0, -6, 0, 0, -10, -30, 0, 34, -64, 0, -26, 24, 0, -12, -18, 0, 4, 4, 0, -24, 8, 0, -6, 20, 0, 0, 48, 0, 0, -34, 0, 6, -24, 0, 12, 24, 0, 44, 0, 0, -18, 0, 0, 54, 60, 0, 4, 16, 0, 6, -18, 0, -24, -42, 0, 2, 28, 0, -12, 40, 0, -132, 6, 0, 0, -6, 0, 0, -18, 0, 24, 16, 0, 112, -6, 0, 4, 0, 0, -72, 0, 0, 28, 0, 0, -60, 4, 0, 30, -20, 0, -72, 24, 0, -6, 64, 0, 0, -4, 0, -12, -34, 0, 0, -12, 0, 0, -44, 0, 42, 8, 0, 8, -96, 0, 46, 0, 0, 0, 0, 0, 78, -48, 0, 88, -12, 0, 8, 30, 0, -48, 48, 0, 22, 0, 0, 64, -126, 0, 6, 4, 0, 0, -18, 0, 0, 2, 0, -54, 44, 0, -112, -66, 0, 22, 0, 0, -6, 0, 0, -6, -12, 0, 16, -20, 0, -6, 8, 0, -174, -42, 0, -54, 38, 0, 124, 68, 0, 54, -52, 0, 0, 6, 0, 0, -58, 0, -12, 24, 0, 4, -24, 0, -44, 0, 0, 36, 0, 0, 86, 30, 0, -14, 204, 0, -58, 6, 0, -174, 36, 0, -22, -22, 0, 16, 4, 0, -6, 32, 0, 0, 90, 0, 0, 0, 0, 60, 108, 0, 108, 0, 0, 28, 0, 0, 120, 0, 0, 12, -6, 0, -6, 40, 0, -10, 118, 0, -96, 84, 0, 4, -2, 0, 100, -16, 0, -144, -78, 0, 0, -114, 0, 0, -40, 0, -42, 48, 0, 28, -120, 0, 4, 0, 0, 48, 0, 0, 70, -66, 0, -40, 104, 0, -44, 28, 0, 0, 84, 0, -46, -18, 0, 100, -20, 0, -66, -44, 0, 0, -60, 0, 0, 10, 0, -12, -100, 0, 12, -24, 0, 2, 0, 0, 24, 0, 0, 2, -66, 0, 116, 140, 0, -22, 108, 0, -96, -42, 0, 2, -48, 0, 152, -72, 0, 18, 4, 0, 0, 72, 0, 0, 22, 0, 102, 8, 0, -8, 12, 0, -22, 0, 0, 6, 0, 0, 48, 6, 0, -16, 88, 0, 40, 20, 0, 42, -54, 0, -34, 78, 0, 8, -110, 0, -72, 6, 0, 0, 18, 0, 0, -38, 0, -6, -40, 0, -100, 6, 0, -64, 0, 0, 18, 0, 0, 62, 30, 0, 0, 4, 0, 8, 14, 0, -168, 90, 0, -4, 12, 0, -8, -6, 0, -24, -92, 0, 0, 120, 0, 0, -10, 0, -30, -44, 0, -12, -60, 0, -16, 0, 0, 6, 0, 0, 32, -30, 0, 112, -32, 0, -52, -26, 0, 0, -84, 0, -16, 4, 0, 192, -88, 0, -102, 6, 0, 0, 114, 0, 0, -6, 0, -78, -8, 0, -4, -24, 0, 44, 0, 0, 84, 0, 0, 64, -156, 0, -4, -68, 0, 2, -18, 0, 60, 6, 0, -60, 72, 0, 24, -104, 0, -6, -60, 0, 0, -24, 0, 0, 56, 0, -24, -4, 0, -20, -96, 0, -50, 0, 0, 90, 0, 0, 66, 84, 0, -10, 160, 0, 12, -32, 0, -72, 228, 0, -52, -6, 0, -52, 48, 0, -108, -24, 0, 0, 30, 0, 0, -8, 0, -12, 72, 0, 104, -18, 0, -110, 0, 0, -54, 0, 0, -4, -108, 0, 6, 8, 0, 20, 50, 0, -60, 0, 0, -12, 24, 0, 16, 4, 0, -156, 42, 0, 0, 186, 0, 0, -120, 0, -36, 40, 0, 36, -96, 0, 36, 0, 0, -30, 0, 0, 86, 48, 0, 4, -128, 0, -84, -42, 0, -96, 36, 0, 28, 34, 0, -108, 100, 0, -180, 6, 0, 0, -132, 0, 0, -12, 0, -12, 24, 0, 48, -102, 0, 6, 0, 0, 138, 0, 0, 82, 36, 0, 32, 0, 0, -44, -88, 0, -24, -12, 0, 36, -82, 0, 36, 26, 0, -18, -30, 0, 0, -24, 0, 0, -90, 0, -144, -140, 0, 108, -192, 0, 84, 0, 0, 6, 0, 0, 52, 42, 0, 8, -8, 0, -74, 8, 0, 102, 168, 0, -4, 68, 0, 12, 104, 0, -60, 18, 0, 0, -78, 0, 0, 28, 0, -24, -8, 0, 60, -42, 0, 68, 0, 0, 312, 0, 0, -2, -120, 0, -54, 56, 0, 48, 30, 0, -42, -6, 0, -6, 32, 0, 148, 14, 0, -12, 48, 0, 0, -132, 0, 0, 96, 0, -156, 12, 0, 40, -66, 0, 0, 0, 0, 36, 0, 0, -30, -6, 0, -34, -144, 0, 20, -44, 0, -84, 12, 0, -88, 18, 0, 76, 172, 0, -168, 74, 0, 0, -96, 0, 0, 8, 0, 18, 84, 0, 72, 42, 0, 56, 0, 0, 30, 0, 0, -44, 30, 0, -42, -80, 0, -4, 0, 0, -30, -30, 0, -2, -4, 0, 196, 112, 0, -72, 108, 0, 0, -60, 0, 0, -64, 0, 18, 248, 0, 56, -6, 0, 136, 0, 0, 144, 0, 0, 44, -162, 0, -84, -48, 0, -22, 2, 0, 48, 156, 0, -24, -50, 0, 60, -98, 0, -162, 20, 0, 0, -396, 0, 0, -4, 0, -72, 48, 0, -60, 24, 0, 46, 0, 0, 252, 0, 0, 6, 240, 0, -162, 128, 0, -100, 0, 0, 150, 144, 0, 0, -14, 0, -140, -38, 0, -6, -32, 0, 0, -24, 0, 0, 124, 0, -108, -68, 0, -20, -114, 0, 4, 0, 0, 0, 0, 0, -12, -12, 0, -72, 176, 0, -24, 144, 0, 42, 90, 0, -40, 44, 0, -4, -174, 0, -168, -36, 0, 0, 54, 0, 0, 4, 0, 0, 184, 0, 92, 30, 0, 4, 0, 0, 66, 0, 0, -52, -156, 0, -232, -44, 0, -46, 20, 0, 30, 18, 0, -108, 28, 0, 120, 6, 0, 0, 20, 0, 0, 6, 0, 0, -6, 0, 42, -156, 0, 156, 144, 0, 26, 0, 0, 120, 0, 0, 10, 12, 0, -10, -144, 0, -130, -6, 0, 276, -144, 0, -12, -34, 0, 16, 156, 0, -504, -30, 0, 0, 30, 0, 0, 30, 0, -48, 108, 0, -16, 48, 0, 60, 0, 0, 336, 0, 0, -22, 312, 0, -16, 0, 0, 34, -10, 0, 168, -54, 0, 32, 176, 0, 204, -90, 0, -156, 28, 0, 0, -126, 0, 0, 82, 0, 72, 8, 0, -212, 36, 0, -42, 0, 0, -12, 0, 0, 42, -18, 0, 136, -224, 0, -12, -108, 0, -42, 174, 0, -88, -2, 0, -24, 96, 0, -60, -82, 0, 0, -258, 0, 0, 22, 0, 12, -92, 0, 272, 36, 0, -56, 0, 0, 84, 0, 0, 62, 72, 0, -56, -48, 0, -22, -100, 0, -30, 102, 0, -44, 94, 0, -160, 16, 0, -6, -24, 0, 0, 0, 0, 0, 58, 0, 18, 264, 0, -12, -282, 0, 96, 0, 0, 24, 0, 0, 62, -24, 0, -112, -24, 0, 4, -10, 0, -132, -240, 0, -22, 36, 0, -12, -38, 0, -150, -8, 0, 0, -24, 0, 0, -46, 0, -174, 96, 0, 44, -42, 0, 32, 0, 0, -12, 0, 0, 54, -102, 0, 148, 76, 0, -106, -102, 0, -204, -144, 0, 62, -40, 0, 0, 52, 0, -36, -18, 0, 0, -60, 0, 0, -80, 0, 24, -104, 0, 136, 24, 0, 88, 0, 0, 0, 0, 0, 82, 6, 0, 18, -56, 0, 34, 76, 0, 36, -24, 0, 140, 58, 0, 68, 48, 0, -60, -12, 0, 0, -216, 0, 0, 12, 0, 180, -52, 0, 184, -252, 0, 2, 0, 0, 174, 0, 0, -20, 42, 0, -12, 48, 0, 44, -10, 0, -84, 12, 0, 16, 112, 0, -196, 76, 0, 36, 80, 0, 0, -168, 0, 0, 52, 0, -72, -8, 0, 172, 156, 0, 20, 0, 0, 96, 0, 0, -2, -48, 0, 2, -96, 0, -64, 102, 0, -186, 144, 0, -54, 46, 0, -116, 24, 0, -114, -6, 0, 0, 192, 0, 0, 76, 0, -174, 132, 0, 164, 36, 0, 88, 0, 0, -264, 0, 0, 22, 102, 0, -50, -44, 0, -24, -80, 0, 0, -102, 0, 8, -14, 0, 228, -28, 0, -120, -50, 0, 0, -36, 0, 0, -152, 0, -18, 64, 0, -264, -102, 0, 168, 0, 0, -102, 0, 0, 70, 90, 0, -66, 404, 0, -138, -84, 0, 66, 216, 0, -168, 0, 0, 168, -16, 0, 6, 88, 0, 0, 12, 0, 0, 54, 0, -60, 356, 0, -56, 0, 0, 54, 0, 0, 354, 0, 0, -124, -252, 0, 44, 68, 0, -28, 144, 0, 150, 42, 0, -18, -16, 0, 184, -76, 0, 120, -50, 0, 0, -60, 0, 0, -26, 0, 48, 80, 0, 24, -36, 0, -44, 0, 0, 42, 0, 0, -4, 18, 0, -84, -104, 0, -60, 20, 0, -12, 12, 0, -44, 6, 0, -20, 62, 0, -168, -118, 0, 0, 12, 0, 0, -88, 0, -96, 80, 0, 156, 84, 0, -80, 0, 0, 24, 0, 0, -4, -276, 0, -120, -4, 0, -30, 22, 0, -192, 138, 0, 50, 16, 0, 96, -14, 0, 6, -36, 0, 0, 198, 0, 0, 2, 0, 96, -156, 0, 208, 78, 0, -20, 0, 0, -150, 0, 0, -70, -114, 0, 120, 80, 0, -92, -22, 0, 36, -300, 0, -26, 40, 0, -68, -140, 0, -48, -34, 0, 0, 168, 0, 0, 24, 0, 258, -4, 0, -292, -6, 0, 14, 0, 0, -276, 0, 0, 14, 342, 0, 108, -80, 0, -4, -138, 0, 210, -18, 0, -108, -40, 0, -40, -152, 0, 48, -108, 0, 0, -96, 0, 0, -28, 0, -264, 56, 0, 140, -60, 0, 8, 0, 0, 174, 0, 0, 138, 66, 0, -56, -128, 0, -4, 52, 0, -120, 252, 0, 84, 4, 0, -88, 20, 0, 294, -28, 0, 0, 258, 0, 0, -100, 0, 0, 400, 0, 0, 84, 0, -82, 0, 0, -66, 0, 0, 46, -216, 0, -84, -36, 0, 68, 52, 0, -6, 114, 0, 50, 56, 0, 144, -4, 0, -60, 88, 0, 0, 216, 0, 0, 24, 0, -108, -88, 0, -40, -102, 0, -196, 0, 0, 18, 0, 0, 48, -60, 0, -36, -140, 0, 10, -112, 0, -6, 108, 0, 78, -10, 0, 52, -88, 0, 108, -4, 0, 0, -384, 0, 0, -50, 0, -6, -224, 0, -252, -186, 0, 6, 0, 0, -36, 0, 0, 80, -60, 0, 170, 172, 0, -2, -72, 0, -90, -168, 0, -62, -110, 0, 76, -52, 0, 24, 52, 0, 0, 6, 0, 0, -228, 0, -180, 84, 0, 4, -126, 0, -206, 0, 0, -6, 0, 0, 144, -84, 0, 28, 128, 0, -8, 70, 0, -102, 66, 0, -4, -102, 0, -44, 64, 0, 36, -108, 0, 0, 30, 0, 0, 62, 0, -96, -240, 0, 200, -42, 0, 32, 0, 0, 336, 0, 0, -2, -114, 0, 264, -96, 0, -36, 8, 0, -96, -240, 0, 76, -48, 0, 192, 36, 0, 36, -12, 0, 0, -138, 0, 0, -56, 0, -222, 8, 0, -88, -18, 0, -4, 0, 0, -78, 0, 0, -44, 72], "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, 13, 5, 1, 6, 0]], "char_orbit_index": 36, "prim_orbit_index": 5, "minimal_twist": "182.2.m.b", "char_is_minimal": true, "conrey_index": 127, "id": null, "nf_label": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, -1, 1, -1, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 1, 0, 1, 0, 0, 0, -1, -1, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, -2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 1, 0, -1, 0, 0, -2, 0, 2, -1, 0], [0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 3, -1, -2, 1, 0, 1], [0, 1, 0, -1, 1, 0, 1, -1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -2, -1, 0, 0, 0, 0, 1, 1, 0, 0], [1, -1, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [2, 1, 0, 0, 1, 2, -1, -3, -1, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, 1, 1, -2, -1, 1, 0, 2], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 0, 1, -1, -1, -1, 1, -2, 0], [0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 2, 2, 1, 0, 1, 1, -1, 0, 1, 2], [0, 1, 1, -2, -2, 2, 2, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -2, -1, 1, 0, -1, 2, 2, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 1, -1, 3, -2, 1, -2, 1], [-1, 0, 0, -1, 0, 1, 1, 2, -1, 1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 0, 2, -2, -4, 2, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, -2, 0, -1, 2, 0, -3, 2, 1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, -1, -1, 0, -1, 1], [-6, -1, -3, 0, 2, -3, -3, 1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, 0, -1, 2, -10, 6, 1, -1, 2, 2, 1], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -1, -2, -1, 2, 1, -1, 0, 0, 1, 1], [0, 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -4, 0, 1, -1, 2, -6, -2, 1, -4, 0], [1, 0, 0, -1, 0, 2, 0, -1, -1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, -1, -2, -1, 5, 4, 0, -2, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -2, 0, -1, 2, 0, -2, -1, 1, 0, 0, -1], [1, -1, 0, -1, -1, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, 0], [-6, 0, -1, 2, 1, -3, -1, 3, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -3, 1, -1, 0, -2, 4, 9, 2, -2, 2, 2], [0, 2, -1, 0, -1, 0, 1, -3, -4, 2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 2, 0, -1, 0, 0, 1, 2, 0, 1, 0], [1, 0, 0, -1, 0, -1, -1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -2, -3, 0, -1, -1, 0, 1, 1, 0, 0], [0, -1, 0, 0, 1, 0, -1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -1, 0, 1, -1, 0, 2, 2, -1, -1, -2], [-3, 1, -1, 1, 0, -1, -1, 5, 3, -3, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 1, 0, 3, -5, 0, -2, 0, -1, -1, 0], [1, -2, 0, -1, 0, -3, 5, 0, -1, 1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, -2, 2, -1, -1, 2, 0, 1], [0, 2, 0, 2, -2, 0, 2, -2, -2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, -1, -1, 1, 1, 0, 0, 1, 0, 1], [0, -1, 1, -1, 2, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 4, -4, -2, 0, 0, 0, -2], [0, 0, -2, 0, 0, -4, 11, -6, -2, 1, -2, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, -4, 0, 0, -4, 0, -2, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, -1, -2, 2, -1, -2, -1]]}