# Stored data for newform 1260.2.c.d, downloaded from the LMFDB on 25 April 2024. {"label": "1260.2.c.d", "space_label": "1260.2.c", "level": 1260, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510936354620652, "dim": 16, "is_polredabs": true, "trace_hash": 1755808950755659292, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [16384, 0, 172032, 0, 627712, 0, 947712, 0, 549248, 0, 75904, 0, 4292, 0, 108, 0, 1]], [19, [1408, -6784, 1696, 2400, -352, -288, 6, 12, 1]]], "qexp_display": "q+\\beta _{4}q^{2}+\\beta _{8}q^{4}+\\beta _{3}q^{5}+(-\\beta _{9}-\\beta _{10}+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 28, "char_orbit_label": "c", "char_is_real": true, "Nk2": 5040, "analytic_conductor": 10.06115065468133, "hecke_ring_index": 256, "level_radical": 210, "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": "0.510", "prec": 17}, "analytic_rank_proved": true, "char_values": [1260, 2, [631, 281, 757, 1081], [1, 2, 2, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [811], "field_disc": 56333109072702135599104, "field_disc_factorization": [[2, 20], [7211, 2], [32143, 2]], "field_poly": [256, -256, 192, -128, 48, 16, -28, 24, -28, 12, -7, 2, 3, -4, 3, -2, 1], "hecke_ring_index_factorization": [[2, 8]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "12.704", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "947.100", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "111177.360", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c2", "trace_display": [-2, 0, 0, -4], "traces": [0, 16, -2, 0, -2, 0, 0, -4, -2, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, -24, 0, 0, -12, 0, 0, -16, 12, 0, 14, -16, 0, 8, 18, 0, 24, 0, 0, 24, -28, 0, 12, 0, 0, 0, 8, 0, -20, -16, 0, -16, 2, 0, -20, 32, 0, 0, -2, 0, -32, -8, 0, 0, -16, 0, -2, 8, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 16, 8, 0, 0, 16, 0, -4, -8, 0, 0, -64, 0, -52, 0, 0, 16, -64, 0, 16, 0, 0, 0, 86, 0, 2, 0, 0, 8, 44, 0, 44, 0, 0, 8, 28, 0, 26, 32, 0, 0, -52, 0, -20, 40, 0, -40, -12, 0, 64, 0, 0, 0, -2, 0, 8, 8, 0, 8, -8, 0, -64, -32, 0, 56, 0, 0, 0, -88, 0, 0, 56, 0, -32, 16, 0, 0, 20, 0, 28, 0, 0, 0, -44, 0, 0, 16, 0, 0, -4, 0, -8, 8, 0, -8, 8, 0, 44, 0, 0, 4, 0, 0, 12, 0, 0, 0, 24, 0, -12, 0, 0, -32, -36, 0, 12, 0, 0, 32, 88, 0, -2, 16, 0, -56, 2, 0, 32, -40, 0, 0, -36, 0, -68, 0, 0, 0, 48, 0, 20, -8, 0, 0, -4, 0, 0, 48, 0, -56, 14, 0, 4, -40, 0, 0, -16, 0, -32, 48, 0, 0, 36, 0, -8, 0, 0, 0, -22, 0, -80, 32, 0, 0, 40, 0, 0, -120, 0, 16, -72, 0, 102, 0, 0, 56, -16, 0, -36, 0, 0, 0, -60, 0, 100, 0, 0, 56, 28, 0, -28, 0, 0, 8, -84, 0, -8, 16, 0, -112, 16, 0, -80, 48, 0, 64, 8, 0, -8, 0, 0, 0, 124, 0, 112, 80, 0, 40, 116, 0, 72, -8, 0, -48, -184, 0, -36, -32, 0, 0, -84, 0, 12, -16, 0, 0, -48, 0, -40, 0, 0, 0, 80, 0, 68, -48, 0, 0, -104, 0, -112, 48, 0, 48, 6, 0, -44, 0, 0, -76, 32, 0, 16, 0, 0, 0, -2, 0, 44, 0, 0, -8, -132, 0, -12, 0, 0, -40, -36, 0, -152, 0, 0, 72, 128, 0, 20, 8, 0, 40, 72, 0, -80, 0, 0, 0, -32, 0, -144, -24, 0, 24, 108, 0, 40, -48, 0, -64, 86, 0, -28, 0, 0, 0, 64, 0, -6, -48, 0, 0, -96, 0, 76, 0, 0, 0, -64, 0, -12, -56, 0, 0, -60, 0, 184, 56, 0, -144, 12, 0, -20, 0, 0, 24, 40, 0, -16, 0, 0, 0, -56, 0, -100, 0, 0, 152, 20, 0, 40, 0, 0, 56, -148, 0, 94, 128, 0, -48, -8, 0, 96, -16, 0, -80, -68, 0, 60, 0, 0, 0, 84, 0, -60, 152, 0, 0, 28, 0, 60, -80, 0, 24, 44, 0, -64, 112, 0, 0, -80, 0, 26, -48, 0, 0, 156, 0, 32, 0, 0, 0, 56, 0, 72, -80, 0, 0, 0, 0, 52, -40, 0, 8, -72, 0, -96, 0, 0, 48, -110, 0, -96, 0, 0, 0, 176, 0, 48, 0, 0, 0, 164, 0, -44, 0, 0, -16, 88, 0, -32, -176, 0, 0, -56, 0, -136, 80, 0, -48, 48, 0, 184, 0, 0, 0, -40, 0, 12, 0, 0, 0, -100, 0, -32, 0, 0, 0, 36, 0, 84, 32, 0, 0, 88, 0, -8, -144, 0, 0, 80, 0, 176, 0, 0, 0, -98, 0, -52, 80, 0, 0, -104, 0, 120, 32, 0, 40, 52, 0, 104, 0, 0, -16, -36, 0, 24, 0, 0, 0, -80, 0, -12, 0, 0, 24, -124, 0, 24, 0, 0, 8, 176, 0, -92, -32, 0, 136, 84, 0, -16, 72, 0, 16, 128, 0, -220, 0, 0, 0, -12, 0, -28, 40, 0, -112, -152, 0, 28, -80, 0, -16, 36, 0, 80, 40, 0, 0, -12, 0, -76, -16, 0, 0, 68, 0, -240, 0, 0, 0, -4, 0, -184, -48, 0, 0, 84, 0, -72, 272, 0, 16, -52, 0, 78, 0, 0, -96, -56, 0, -32, 0, 0, 0, -2, 0, 36, 0, 0, 40, -80, 0, 76, 0, 0, -80, -164, 0, -14, -192, 0, 64, -152, 0, -64, -200, 0, -192, 20, 0, -28, 0, 0, 0, -16, 0, 208, -64, 0, -32, 102, 0, 104, 16, 0, 120, -200, 0, -36, 256, 0, 0, -140, 0, 84, 112, 0, 0, -104, 0, -8, 0, 0, 0, 140, 0, 184, 32, 0, 0, 140, 0, -336, -32, 0, -152, 100, 0, -4, 0, 0, 40, 136, 0, 56, 0, 0, 0, -44, 0, -84, 0, 0, -8, -56, 0, 8, 0, 0, -56, -88, 0, -122, -40, 0, 176, 80, 0, 72, -56, 0, 0, 20, 0, -96, 0, 0, 0, -18, 0, -116, -88, 0, -40, 48, 0, -40, 112, 0, 328, 128, 0, 40, -8, 0, 0, 136, 0, -40, 48, 0, 0, -308, 0, -24, 0, 0, 0, -120, 0, 76, 112, 0, 0, 8, 0, 252, -176, 0, 192, -44, 0, -28, 0, 0, -44, 144, 0, -24, 0, 0, 0, -116, 0, -52, 0, 0, -184, 76, 0, 136, 0, 0, -96, -72, 0, 200, -160, 0, 144, 28, 0, 216, 0, 0, 120, -64, 0, 112, 0, 0, 0, 104, 0, -116, -176, 0, -120, 56, 0, -148, 256, 0, -160, -90, 0, -148, -128, 0, 0, 96, 0, 116, 136, 0, 0, 208, 0, -20, 0, 0, 0, 164, 0, -80, 184, 0, 0, -32, 0, -8, -24, 0, -24, -48, 0, -192, 0, 0, -104, -216, 0, -24, 0, 0, 0, 168, 0, 0, 0, 0, -144, 220, 0, -104, 0, 0, 8, 28, 0, 120, 240, 0, -8, -80, 0, -152, -200, 0, 136, -88, 0, 232, 0, 0, 0, -150, 0, 36, -136, 0, 88, -168, 0, -96, -48, 0, -96, 64, 0, 36, 176, 0, 0, 48, 0, 8, 32, 0, 0, -8, 0, 316, 0, 0, 0, -76, 0, -12, -144, 0, 0, -52, 0, 56, 8, 0, -56, 60, 0, 120, 0, 0, 72, 80, 0, 80, 0, 0, 0, -88, 0, 158, 0, 0, -48, -76, 0, 36, 0, 0, 0, 368, 0, 12, 96, 0, -120, 120, 0, -148, -8, 0, 104, -40, 0, -148, 0, 0, 0, -96, 0, 24, -96, 0, 192, -126, 0, -4, -128, 0, 184, 148, 0, 168, -56, 0, 0, -112, 0, 12, 48, 0, 0, 8, 0, -252, 0, 0, 0, -92, 0, -152, -8, 0, 0, 76, 0, -112, -40, 0, -24, 96, 0, 36, 0, 0, -144, -8, 0, 56, 0, 0, 0, 108, 0, 56, 0, 0, -208, -68, 0, -172, 0, 0, 152, -240, 0, -32, 192, 0, 96, -148, 0, 72, 144, 0, 152, 72, 0, -32, 0, 0, 0, -32, 0, -60, -112, 0, 136, 228, 0, 0, -40, 0, -272, -248, 0, 20, -176, 0, 0, -248, 0, 110, -176, 0, 0, -120, 0, -88, 0, 0, 0, 56, 0, 128, 16, 0, 0, 184, 0, -368, 16, 0, 144, 112, 0, 20, 0, 0, 28, 172, 0, 56, 0, 0, 0, -96, 0, -192, 0, 0, -8, -32, 0, -128, 0, 0, 72, -32, 0, -132, 32, 0, -256, 84, 0, 176, 112, 0, -104, -36, 0, -80, 0, 0, 0, -44, 0, 104, 88, 0, 16, -180, 0, -128, 128, 0, -264, 184, 0, 4, 40, 0, 0, 380, 0, -76, -128, 0, 0, -464, 0, -144, 0, 0, 0, -2, 0, 184, -120, 0, 0, 172, 0, 224, -8, 0, -24, -12, 0, -100, 0, 0, 216, 72, 0, -20, 0, 0, 0, -228, 0, -16, 0, 0, 56, 96, 0, 36, 0, 0, 32, -88, 0, 192, 192, 0, -376, 32, 0, 120, -64, 0, -288, -8, 0, 20, 0, 0, 0, -96, 0, -12, 24, 0, 144, 60, 0, 84, -208, 0, 48, -68, 0, -68, 112, 0, 0, -36, 0, 124, -32, 0, 0, 408, 0, -28, 0, 0, 0, 144, 0, 80, -176, 0, 0, -76, 0, -104, -112, 0, 40, 28, 0, -196, 0, 0, 152, -170, 0, 56, 0, 0, 0, 240, 0, -36, 0, 0, -80, 328, 0, -20, 0, 0, 128, 136, 0, 90, -64, 0, 0, -192, 0, -152, -8, 0, 176, 12, 0, 328, 0, 0, 0, -48, 0, -12, 208, 0, -176, -232, 0, 128, 112, 0, 184, 2, 0, 40, 48, 0, 0, -24, 0, -132, 64, 0, 0, 52, 0, 168, 0, 0, 0, -20, 0, -148, 112, 0, 0, -76, 0, 232, 336, 0, 200, 40, 0, -4, 0, 0, -112, 24, 0, 240, 0, 0, 0, -272, 0, -122, 0, 0, -40, -172, 0, 32, 0, 0, 280, 300, 0, 200, -80, 0, -8, 84, 0, 176, 72, 0, -48, 28, 0, -244, 0, 0, 0, -16, 0, 216, 8, 0, -16, -148, 0, 44, 48, 0, -48, 76, 0, -68, -144, 0, 0, -112, 0, -192, 48, 0, 0, 136, 0, -104, 0, 0, 0, -308, 0, -368, 40, 0, 0, 120, 0, -152, 80, 0, -128, -36, 0, 260, 0, 0, 24, -80, 0, 116, 0, 0, 0, 156, 0, 120, 0, 0, 232, -28, 0, -312, 0, 0, -16, -272, 0, 0, 80, 0, -88, -276, 0, -128, -64, 0, -120, 16, 0, -48, 0, 0, 0, 92, 0, 232, -16, 0, -80, 368, 0, 56, 16, 0, 232, -294, 0, 0, 24, 0, 0, -200, 0, -156, 128, 0, 0, -128, 0, -72, 0, 0, 0, 184, 0, 356, 16, 0, 0, 152, 0, -432, -160, 0, -88, 160, 0, 2, 0, 0, 24, 380, 0, -96, 0, 0, 0, -132, 0, 32, 0, 0, 0, -32, 0, 108, 0, 0, -168, -12, 0, -460, -8, 0, 224, -192, 0, 96, -248, 0, 112, 32, 0, -248, 0, 0, 0, -56, 0, -304, -152, 0, 0, -192, 0, -84, -320, 0, 16, 312, 0, -44, -128, 0, 0, 284, 0, -72, 144, 0, 0, -404, 0, -24, 0, 0, 0, -76, 0, -8, 32, 0, 0, -36, 0, 328, -272, 0, -288, 210, 0, -84, 0, 0, -160, 44, 0, -56, 0, 0, 0, -50, 0, -308, 0, 0, 56, 4, 0, 152, 0, 0, -8, -60, 0, 408, -96, 0, 400, 216, 0, 192, 96, 0, 16, -4, 0, 152, 0, 0, 0, -160, 0, 92, 72, 0, -120, 36, 0, 96, 112, 0, -64, -144, 0, 168, -160, 0, 0, 48, 0, 188, 88, 0, 0, 376, 0, 0, 0, 0, 0, 164, 0, 144, 200, 0, 0, -68, 0, 84, 192, 0, -48, -64, 0, 136, 0, 0, -144, -176, 0, -312, 0, 0, 0, 100, 0, -16, 0, 0, 168, 108, 0, -72, 0, 0, -240, 92, 0, -62, -176, 0, -40, 20, 0, -216, 104, 0, -80, -8, 0, 560, 0, 0, 0, 8, 0, 8, -184, 0, -8, -224, 0, 64, 224, 0, 64, 148, 0, 184, 64, 0, 0, 208, 0, 236, 352, 0, 0, 36, 0, 208, 0, 0, 0, 204, 0, -132, -48, 0, 0, -32, 0, 312, -304, 0, 16, -4, 0, -144, 0, 0, 136, 92, 0, 108, 0, 0, 0, -212, 0, -92, 0, 0, 320, -208, 0, 120, 0, 0, -384, 304, 0, 20, 80, 0, -136, 60, 0, -208, -40, 0, 32, -32, 0, -428, 0, 0, 0, -184, 0, -92, 80, 0, -96, -128, 0, -16, 64, 0, 64, 212, 0, -156, -248, 0, 0, -92, 0, -40, 16, 0, 0, 296, 0, -184, 0, 0, 0, -298, 0, -256, -8, 0, 0, -176, 0, -144, -472, 0, 8, -128, 0, -30, 0, 0, 136, -132, 0, 68, 0, 0, 0, 252, 0, 64, 0, 0, -8, -84, 0, -28, 0, 0, 144, -304, 0, -76, 128, 0, -192, -120, 0, -208, 136, 0, 168, 88, 0, -56, 0, 0, 0, -152, 0, 64, -56, 0, -64, 244, 0, 48, -56, 0, -464, 4, 0, 76, -192, 0, 0, -428, 0, 44, -528, 0, 0, -16], "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, 28, 4, 1, 2, 0]], "char_orbit_index": 3, "prim_orbit_index": 4, "minimal_twist": "420.2.c.a", "char_is_minimal": true, "conrey_index": 811, "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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [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, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0], [0, 0, 1, -1, -1, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, -1, 1, 1, 0, 0, -1, -1, 1, 0, 1, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 1, 1, -1, 1, -1, 0, 1, 1, 1, -1, -1, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0], [0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, -1, 0, -1, 1, 1, 0, -1, 1, 0, -1, 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, -1, -1, -2, 1, -1, 0, -1, 2, 1, 1, -1, 1, 0, -2, 0], [0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, -1, 0, 1, -2, -1], [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], [1, 1, -1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 2, -1, 1, 1, 0, 0, -1, 1, 2, 1, 2, 0, -2, -1], [-2, 0, 1, 0, -1, 0, 0, 2, -2, 0, 1, 1, 0, 0, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, -1, -1, 1, -2, 3, 1, 1, 0, 1, 2, 1, -1], [1, 0, -1, 0, 0, 1, -1, 0, -1, -1, -1, 2, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, -1, 1, 1, -2, -1], [0, 0, 0, 0, 1, 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], [2, -1, 1, 0, -1, 0, -2, 0, -2, 0, -1, 1, 0, -1, -2, 1], [-2, 0, -1, 0, -3, -1, 0, -1, 0, 1, -1, 1, -1, 1, 2, 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, -1, -1, -1, 0, 0, 0, 0], [0, -1, 2, 0, 2, 2, -2, 2, -2, 1, 1, 0, 2, 0, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 2, 0, 1, -1, 0, 2, 1, 1, 0, 0, 0, 1], [0, 1, -1, 0, -2, -1, 1, -2, 2, 0, 0, 1, -1, 1, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 2, 1, -1, -1, -1, -1, 1, 1, 1, 0, 1, 0, -1, -1], [0, -1, -1, 0, 2, -2, 1, -1, 2, 2, 1, -3, 2, 0, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, 0, -2, 0, 0, 0, 0, 0, 3, 1, 2, 0, 0, 0, -1], [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, 0, 0, 0], [-1, -1, -1, 1, 1, -2, 2, -1, 3, 1, 1, -1, 0, 1, -1, -2], [3, -1, 0, 0, 2, -1, 1, 0, 1, 3, 0, -1, 1, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 1, -1, 0, -1, 1, 1, 0, -1, 1, 0, -1, 0], [1, -1, -2, 0, 2, 0, -1, -1, 0, 1, 0, 0, 1, -2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, -1, 1, 3, -3, 3, -5, -1, 1, 2, 1, -2, -1, 1], [0, -1, 2, 0, -1, -2, 1, -1, 2, 4, 2, 0, 2, 1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, 2, 0, -2, -1, 1, 2, 0, -1, 1, -2, 0, 2, 1], [0, -1, 0, 2, -1, 0, -1, -1, -2, -1, -3, 0, 0, -2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 2, 1, 0, 3, -1, 1, 1, 1, 0, 0, 0, 0, 1], [1, -1, 1, 0, 0, -1, 0, -1, 1, 1, 1, 0, 1, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, -2, -1, 0, 0, 0, -2, 1, -2, -1, 0, 1, 2, 0], [0, 1, -1, 4, 0, -1, -1, 0, 0, 0, -2, 1, -1, 1, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 1, 0, 1, -2, 2, -3, -3, -2, -1, 1, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 2, -1, -1, 1, 1, -1, 1, 1, 2, -1, 1, 1, -3, -1], [1, 0, 0, -1, 1, -1, 1, -1, 1, 3, 1, 2, 1, 2, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 2, -2, 1, 1, 2, -4, -2, -2, 1, -1, -1, 2, 1], [1, -2, -2, -2, 3, -1, 0, 1, 1, -1, 2, -1, 1, 0, -5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, -1, 1, -2, -3, -1, 0, 0, -2, 2, 1], [1, 0, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 5, -1, -2, 0, -3, 3, 1, -1, -3, 0, 1, 3, 2], [0, -1, 0, 0, 1, -2, 1, 1, 0, -3, 1, -2, 2, 2, -4, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0], [-4, -1, -1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, -1, -2, 0, 1, 1, 2, -4, -2, -2, 1, -1, -3, 0, 1], [0, -1, 0, -4, 1, 0, -1, 1, 2, -2, 2, 0, 0, -1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 0, 2, -1, 2, -1, 3, -3, 3, -2, 1, 2, -3, -3], [-3, 0, 0, -3, -3, -1, -1, -1, -1, 1, -3, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -3, 0, -2, -1, -1, 0, 2, 0, -2, 1, -3, 1, 4, -1], [0, 0, -1, -1, -1, -1, 0, 0, 1, -1, -1, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 2, 3, -3, 1, -1, 1, -3, -3, -2, -1, 1, -1, 1, -1], [5, 1, -1, -3, 0, 2, 0, 1, -3, -3, -1, 1, 0, -3, 3, 2], [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, 0, 0]]}