# Stored data for newform 370.2.g.e, downloaded from the LMFDB on 25 April 2024.
{"label": "370.2.g.e", "space_label": "370.2.g", "level": 370, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014810859897202, "dim": 20, "is_polredabs": true, "trace_hash": 724426489374066817, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [256, 5632, 61952, 61952, 28432, -24512, 76384, 44248, 13544, -4848, 13826, 7362, 2009, -278, 760, 394, 103, -4, 8, 4, 1]]], "qexp_display": "q-\\beta _{10}q^{2}-\\beta _{1}q^{3}-q^{4}-\\beta _{8}q^{5}+\\beta _{4}q^{6}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 185, "char_orbit_label": "g", "char_is_real": false, "Nk2": 1480, "analytic_conductor": 2.9544648747873743, "hecke_ring_index": 64, "level_radical": 370, "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": "0.232", "prec": 17}, "analytic_rank_proved": true, "char_values": [370, 4, [297, 261], [3, 3]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 5, 37], "conrey_indexes": [43, 327], "field_disc": 47170207938457656036976530728423522304, "field_disc_factorization": [[2, 24], [3, 12], [37, 2], [4639, 2], [13400479, 2]], "field_poly": [256, -5632, 61952, -61952, 28432, 24512, 76384, -44248, 13544, 4848, 13826, -7362, 2009, 278, 760, -394, 103, 4, 8, -4, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17.906", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1206.223", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "124662.467", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c4", "trace_display": [0, -4, 2, -2], "traces": [0, 20, 0, -4, -20, 2, -4, -2, 0, 0, 4, 0, 4, 0, -2, 0, 20, 20, 24, -6, -2, 0, -8, 0, 4, -10, 0, 20, 2, -18, -4, 12, 0, 4, 0, 12, 0, 0, -6, -6, -4, 0, -12, 0, 0, -18, 4, -22, -4, 0, 4, 8, 0, -4, -20, -34, 2, 0, 18, 10, 0, 10, 12, -2, -20, -20, -4, -8, -20, 34, 12, 16, -24, 6, -32, -26, 6, 4, 6, -12, 2, -28, 20, 6, 0, -10, -16, 44, 8, 44, -22, -40, 0, 0, -22, -50, -4, -72, 52, 20, 10, 0, 8, 32, 0, 2, 4, -68, -20, -8, 16, 64, -2, 60, 24, 8, 18, -24, 10, 68, 4, -4, 10, 50, -12, -10, 2, 6, 0, 24, 4, 14, -4, 0, 8, -170, 0, 50, -34, -12, -12, 0, 0, -104, 0, -14, 6, 20, 0, 0, -12, 0, 6, 0, -4, 86, 6, -36, -12, -24, 4, -52, 0, -44, 0, 70, -6, 72, 12, -72, 26, 78, 0, -48, 0, -10, 0, 0, -44, 14, 18, 32, 40, 0, -4, -12, 40, 0, 22, 28, -18, -40, 4, 0, 0, 106, 0, 32, 0, 26, -4, -32, 112, 24, -8, 64, 0, -52, 0, 92, -66, -104, 4, 68, -68, -4, 20, 0, -8, 0, 34, 0, 16, 30, -2, -156, 0, -72, 0, 0, -40, 36, -18, 22, 0, 4, -10, 0, 68, -48, 0, 44, 0, 86, -10, 48, -50, 8, -12, 96, -28, 50, 2, -56, 6, 74, 20, -40, -24, -86, 20, -98, 14, 22, 4, 76, -92, -152, 8, 0, 28, -128, 20, -52, 50, 32, -34, 0, 0, -26, -12, -24, 48, 136, -16, 34, 0, 96, 24, 88, -10, -40, -6, -96, -20, 84, 32, 6, 68, 76, 26, 136, -36, -36, -6, 72, 0, -72, -4, -120, 0, -48, -6, 0, -36, -140, 12, 52, 0, 16, -2, 0, 52, -172, 28, -20, 0, 0, -20, 0, -40, -74, -6, -20, 0, 60, 0, -62, 0, -120, 10, 38, -78, -24, 16, 30, -48, 0, -44, 0, -34, -30, -8, -108, -40, 104, -44, 0, -14, 0, 22, 0, 0, -2, 40, 220, -8, 94, 0, -92, 42, 0, 0, 20, 8, -68, 22, -42, 0, 0, 50, 0, 40, 0, 4, -8, 0, 200, 72, -98, 28, 0, -52, 0, 32, 16, -20, -84, -26, -104, -10, 20, 0, -32, 0, 98, 0, 28, -8, -28, -120, 0, -32, 0, 0, -44, 0, -98, -92, 0, -2, 142, 0, 170, -4, 12, 68, 0, 68, 178, -100, 22, 20, -78, -12, -196, 8, -52, -120, -28, -16, 96, -80, 68, -64, -62, -30, 40, 2, 48, 78, -28, -60, -112, 0, 66, -24, 272, -16, 188, -8, -48, 0, 0, -18, -140, 22, -148, 24, 0, 80, 0, -10, -20, 240, -60, -68, -116, -48, -28, -4, 104, -44, 84, 4, 60, 86, 36, -10, 192, 66, -36, -50, -4, -8, -40, 12, -128, 0, 102, 10, 0, 50, 0, -2, -238, 0, 216, -6, -168, 22, 0, 0, -300, 0, -98, -24, 36, 58, 0, -4, 0, -98, 0, -14, 242, 22, -24, 4, -8, 60, -126, 0, -112, 0, 96, -8, 292, 40, -204, 170, 154, 0, 12, 0, 50, 0, 0, -50, 104, 132, 48, 34, 0, 44, -58, 12, 0, 26, 204, 12, 28, 24, 0, 0, 44, 0, 94, 0, -16, -42, -132, 104, 16, -96, 128, 0, -148, 0, 196, 14, 4, -40, 240, -6, -212, 96, 0, -20, 0, 56, 0, 0, 106, 6, -96, 0, -136, 0, 0, 12, -132, -136, 142, 0, -62, 36, 0, -6, -220, -186, 80, 0, 72, 72, 4, 4, 54, -120, 248, -86, 114, -48, 76, -6, -30, 76, -164, 36, -188, 76, -176, 12, -96, -52, 56, 24, -376, 16, 0, -4, -12, 136, -212, 52, 46, -172, 0, 0, -172, -70, -152, 44, 36, 144, -48, 0, 276, 100, 224, -70, -158, 74, -144, 6, 120, 28, 54, -72, 232, 10, 110, -12, -26, 62, 252, 72, 12, -120, -160, -26, 4, -38, 0, -78, -200, 24, 36, 0, -92, -160, 0, 48, -268, -8, -44, 0, 0, 56, 0, 10, -34, -30, 178, 0, 64, 0, -120, 0, -234, 16, 120, 44, 120, 8, 48, -14, 0, -20, 0, -18, 52, 56, -168, -32, 54, -2, 0, -40, 0, 102, 0, 0, 112, 94, 484, 4, 198, 0, -172, 12, 64, 0, -34, -40, -188, 20, -234, 0, 0, 122, 0, -22, 0, -42, -54, -28, 172, 104, -230, 18, 0, -296, 0, 40, 34, -120, 52, -4, -140, -116, 20, 0, 48, 0, 48, 0, 264, -98, 76, -106, 0, -144, 0, 0, -28, 0, -38, -32, 0, -36, 232, 0, 260, 84, -254, -26, 0, 104, 196, 4, 216, 20, -34, 32, -198, 32, -60, -112, -36, 34, -176, -24, 252, -68, -118, 8, -48, 28, -64, -64, -160, -120, 2, 0, 140, 20, 180, 52, -10, -52, -156, 0, 0, -98, 46, -92, -64, 48, -124, 66, 0, 142, 84, 104, -24, -170, -142, -4, 124, 68, 44, -68, 132, -20, -4, 68, -92, 178, 178, 4, -300, 22, -66, -20, -98, 78, -240, 0, 116, -102, -36, 8, 0, 52, -426, 0, 276, 28, -376, -34, 0, 0, 108, 0, -316, 68, -34, -16, 0, 6, 0, -30, 0, -40, 238, 2, -88, 48, -276, 156, 12, 0, -320, 0, 18, 112, 284, 72, -92, 222, 54, 0, 168, 0, -56, 0, 0, -188, 74, 40, 120, 48, 0, -36, -234, 108, 0, 18, 12, 134, 190, -22, 0, 0, 164, 0, 82, 0, 116, -4, 48, 404, 160, 10, 174, 0, -260, 0, 44, -220, -28, -68, 42, -116, -178, 48, 0, -28, 0, 0, 0, -12, 92, -44, -200, 0, 196, 0, 0, 24, -120, -86, 152, 0, 32, 10, 0, 192, -220, -48, 352, 0, 226, 50, 4, 4, -4, -8, 156, -62, -40, 12, -20, -128, 0, -96, -336, -102, -296, 28], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 185, 6, 1, 4, 0]], "char_orbit_index": 7, "prim_orbit_index": 6, "minimal_twist": "370.2.g.e", "char_is_minimal": true, "conrey_index": 43, "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, 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, -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], [-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, 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, 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, 0, 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, 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, 1, 0, 0, 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, -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, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 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], [-1, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 1, 0, 0, -1, 1, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 1, 0, 1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0], [0, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, -1, 1, 0, 1, 0, 0, -2, 2, 0, 0, 0, -2, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [-1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 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, 1, 0, -1, 0, -1, 0, 0, -1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, -1, 1, 1, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, -1, -1, 0, 1], [0, -1, -2, -1, 1, 0, -1, -1, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0], [-1, 0, -1, 0, 1, -1, -1, -1, -1, 0, -2, 0, 0, -1, 0, 0, 0, 1, 0, 0], [-1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1], [-1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 0, 1, -1, 2, -1, 0, 1, 0, 1, 0, 0, 0, -1], [0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [-1, 0, 1, 0, -2, 1, 0, 0, 0, 0, -2, 2, 0, -1, 0, -1, -1, 0, 0, 1], [0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0], [-1, 0, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 1, 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, 1, 1, 0, 1, 1, 0, 1, -1, 3, -1, -1, -1, 0, -1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, -1, 0, -2, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, -2, 1], [0, 0, -1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 1, 2, 1, -1, 0, 1, 1, 1, -1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 1], [-2, -1, 0, -1, 1, 0, 0, -1, -2, 0, -2, 0, 0, -2, -1, 0, -1, 0, -1, 1], [-2, 1, 1, 2, -1, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 1, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, -1, 1, 0, -1, -1, 0, 1, 1, 2, -1, -1, 0, 1, 0, 1, 1, 2, -2], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 0, -1, 0, 1, 0, 1, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0], [1, 1, 0, 0, 0, -1, -1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, -1, 0], [1, -1, -1, 0, 1, 0, 0, 0, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 0, 1, -1, -1, 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, 0], [0, 0, 2, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, -1, 2, 0], [0, 1, 0, 0, 0, -1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, -1, 0], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1], [-2, 0, -1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 0], [1, 0, -1, 0, 0, 0, 0, -1, -2, 0, -1, -1, 0, 2, 0, 1, 0, 0, -1, -1], [0, 1, -1, 0, -1, -1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1], [0, 0, -1, 0, 1, 0, -1, 0, -2, -1, 0, -2, 1, 0, -1, 0, 0, 1, 0, 0], [-1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 1, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, -1, 0, -2, 0, 0, -1, 0], [-2, 2, 1, 1, -1, 0, 0, 0, 0, -1, 1, -1, 1, 0, 1, 1, 1, 0, 0, -1], [-1, 0, 1, -1, -1, 1, 0, 1, 0, 0, -2, 2, 0, -1, -1, 0, -1, -2, -1, 2], [1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 1, -1], [1, -2, 0, 0, 0, 1, 0, 0, -1, 2, -1, 0, -2, 1, 0, 0, 0, 0, 2, 0], [1, 0, 0, 1, -1, -1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0], [0, -2, 0, 1, -1, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, -3, 4, -2, -1, -2, 0, -1, 0, 0, 0, -1, -1, 1, -2, 1, -2, 0], [2, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 1, -1, 1, 0, -1, 1, 0, 1, 0], [1, 2, 3, 1, 0, 0, 1, 1, 0, -2, -1, 1, 2, 0, 0, -1, -1, 0, 0, 1], [0, -1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 1, 0], [0, -1, -2, -1, 1, 0, -3, 1, -2, 2, 0, 0, -1, 0, 0, 0, 2, 0, 1, 1], [0, 1, 2, 1, -2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0], [2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 1, -1, -1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 1, 0, -2, 0, 0, -1, 0, -2, -1, 0, 2, 0, 0, 0, 0, 0, -1, -1], [-2, -2, 0, -1, 1, 0, 0, -1, -1, -1, 1, -1, 0, -2, 0, 0, -1, 0, 0, 0], [-4, -1, -1, 0, -1, -2, 0, -2, 3, 1, 4, -1, -1, -3, 0, 1, 0, 3, 0, -2], [0, 0, 1, 1, -1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0], [0, -1, 1, 1, -2, 0, 1, 0, -1, -1, 2, 1, 0, -2, 1, -2, 0, 1, 1, 0], [-1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, -1, 1, 0], [-3, 2, 0, 0, 1, -1, 1, -1, 0, -1, -1, 1, 2, 2, 0, 1, -1, 0, -2, 1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 1, -1, -1, 1, -1, 1, -1, -1, 0, -1, -1, 0, -1, 0, 1, 1, 1, 0], [3, 0, 0, -1, 0, 1, -1, 1, -1, -1, 0, -1, -1, 1, 0, -1, 1, 0, 1, 0], [2, -1, -1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, -1, -1, 0, 1, 0, 0], [0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0]]}